%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM254_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:04:40 PM UTC 2026
% Result : Theorem 214.64s 32.95s
% Output : CNFRefutation 246.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 264
% Syntax : Number of formulae : 5442 ( 681 unt; 0 typ; 31 def)
% Number of atoms : 36822 (15266 equ)
% Maximal formula atoms : 65 ( 6 avg)
% Number of connectives : 16334 (3154 ~;12503 |; 581 &)
% ( 0 <=>; 96 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of FOOLs : 18200 (18200 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 101 ( 99 usr; 44 prp; 0-3 aty)
% Number of functors : 208 ( 208 usr; 21 con; 0-4 aty)
% Number of variables : 19682 ( 0 sgn19322 !; 360 ?;19682 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
vconstant: vAval > vExp ).
tff(pred_def_1,type,
vexpIsValue: vExp > $o ).
tff(pred_def_2,type,
visValue: vQuestionnaire > $o ).
tff(pred_def_3,type,
visSomeAType: vOptAType > $o ).
tff(pred_def_4,type,
visSomeQC: vOptQConf > $o ).
tff(pred_def_5,type,
visSomeAval: vOptAval > $o ).
tff(pred_def_6,type,
visSomeExp: vOptExp > $o ).
tff(pred_def_7,type,
visSomeMapConf: vOptMapConf > $o ).
tff(pred_def_8,type,
visSomeQuestion: vOptQuestion > $o ).
tff(pred_def_9,type,
vptcheck: ( vMapConf * ( vQuestionnaire * vMapConf ) ) > $o ).
tff(pred_def_10,type,
sP0: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_11,type,
sP1: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_12,type,
sP2: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_13,type,
sP3: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_14,type,
sP4: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_15,type,
sP5: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_16,type,
sP6: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_17,type,
sP7: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_18,type,
sP8: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_19,type,
sP9: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_20,type,
sP10: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_21,type,
sP11: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_22,type,
sP12: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_23,type,
sP13: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_24,type,
sP14: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_25,type,
sP15: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_26,type,
sP16: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_27,type,
sP17: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_28,type,
sP18: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_29,type,
sP19: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_30,type,
sP20: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_31,type,
sP21: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_32,type,
sP22: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_33,type,
sP23: ( vAnsMap * vQID ) > $o ).
tff(pred_def_34,type,
sP24: ( vAnsMap * vQID ) > $o ).
tff(pred_def_35,type,
sP25: ( vATMap * vQID ) > $o ).
tff(pred_def_36,type,
sP26: ( vATMap * vQID ) > $o ).
tff(pred_def_37,type,
sP27: ( vQMap * vQID ) > $o ).
tff(pred_def_38,type,
sP28: ( vQMap * vQID ) > $o ).
tff(pred_def_39,type,
sP29: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > $o ).
tff(pred_def_40,type,
sP30: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > $o ).
tff(func_def_41,type,
vaddop: vBinOpT ).
tff(func_def_42,type,
vsomeQuestion: ( vAType * ( vLabel * vQID ) ) > 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: ( vATMap * ( vAType * vQID ) ) > vATMap ).
tff(func_def_47,type,
vgtop: vBinOpT ).
tff(func_def_48,type,
vsempty: vstring ).
tff(func_def_49,type,
vqmbind: ( vQMap * ( vAType * ( vLabel * vQID ) ) ) > 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,
vq1: vQuestionnaire ).
tff(func_def_54,type,
vqgroup: ( vQuestionnaire * vGID ) > vQuestionnaire ).
tff(func_def_55,type,
vatmempty: vATMap ).
tff(func_def_56,type,
vno: vYN ).
tff(func_def_57,type,
vvalue: ( vExp * ( vAType * vQID ) ) > vEntry ).
tff(func_def_58,type,
vq2: vQuestionnaire ).
tff(func_def_59,type,
vgetAnswer: ( vAType * vLabel ) > vAval ).
tff(func_def_60,type,
vecheck: ( vExp * vATMap ) > vOptAType ).
tff(func_def_61,type,
vgetAM: vQConf > vAnsMap ).
tff(func_def_62,type,
venumGID: vGID > vGID ).
tff(func_def_63,type,
vaskText: vLabel > vstring ).
tff(func_def_64,type,
vminus: ( vnat * vnat ) > vnat ).
tff(func_def_65,type,
vtypeOf: vAval > vAType ).
tff(func_def_66,type,
vevalBinOp: ( vAval * ( vAval * vBinOpT ) ) > vOptExp ).
tff(func_def_67,type,
vgetQM: vQConf > vQMap ).
tff(func_def_68,type,
vinitQID: vQID ).
tff(func_def_69,type,
vplus: ( vnat * vnat ) > vnat ).
tff(func_def_70,type,
vaskYesNo: vLabel > vYN ).
tff(func_def_71,type,
vtypeAM: vAnsMap > vATMap ).
tff(func_def_72,type,
vlookupQMap: ( vQMap * vQID ) > vOptQuestion ).
tff(func_def_73,type,
vaskNumber: vLabel > vnat ).
tff(func_def_74,type,
vinitLabel: vLabel ).
tff(func_def_75,type,
vdivide: ( vnat * vnat ) > vnat ).
tff(func_def_76,type,
vappendATMap: ( vATMap * vATMap ) > vATMap ).
tff(func_def_77,type,
vor: ( vYN * vYN ) > vYN ).
tff(func_def_78,type,
vpred: vnat > vnat ).
tff(func_def_79,type,
vlookupATMap: ( vATMap * vQID ) > vOptAType ).
tff(func_def_80,type,
vqcappend: ( vQuestionnaire * vQConf ) > vQConf ).
tff(func_def_81,type,
venumchar: vchar > vchar ).
tff(func_def_82,type,
vinitchar: vchar ).
tff(func_def_83,type,
vgetQuest: vQConf > vQuestionnaire ).
tff(func_def_84,type,
vevalUnOp: ( vAval * vUnOpT ) > vOptExp ).
tff(func_def_85,type,
vcheckBinOp: ( vAType * ( vAType * vBinOpT ) ) > vOptAType ).
tff(func_def_86,type,
vnot: vYN > vYN ).
tff(func_def_87,type,
vreduce: ( vQMap * ( vAnsMap * vQuestionnaire ) ) > vOptQConf ).
tff(func_def_88,type,
vmultiply: ( vnat * vnat ) > vnat ).
tff(func_def_89,type,
vappendAnsMap: ( vAnsMap * vAnsMap ) > vAnsMap ).
tff(func_def_90,type,
vcheckUnOp: ( vAType * vUnOpT ) > vOptAType ).
tff(func_def_91,type,
vtypeQM: vQMap > vATMap ).
tff(func_def_92,type,
vintersectATM: ( vATMap * vATMap ) > vATMap ).
tff(func_def_93,type,
venumLabel: vLabel > vLabel ).
tff(func_def_94,type,
vinitGID: vGID ).
tff(func_def_95,type,
vlt: ( vnat * vnat ) > vYN ).
tff(func_def_96,type,
vgt: ( vnat * vnat ) > vYN ).
tff(func_def_97,type,
vlookupAnsMap: ( vAnsMap * vQID ) > vOptAval ).
tff(func_def_98,type,
vreduceExp: ( vAnsMap * vExp ) > vOptExp ).
tff(func_def_99,type,
venumQID: vQID > vQID ).
tff(func_def_100,type,
vand: ( vYN * vYN ) > vYN ).
tff(func_def_101,type,
vappend: ( vATList * vATList ) > vATList ).
tff(func_def_102,type,
vgetQuestionQID: vOptQuestion > vQID ).
tff(func_def_103,type,
vgetMapConf: vOptMapConf > vMapConf ).
tff(func_def_104,type,
vgetQuestionLabel: vOptQuestion > vLabel ).
tff(func_def_105,type,
vgetAType: vOptAType > vAType ).
tff(func_def_106,type,
vgetQuestionAType: vOptQuestion > vAType ).
tff(func_def_107,type,
vgetQC: vOptQConf > vQConf ).
tff(func_def_108,type,
vgetExpValue: vExp > vAval ).
tff(func_def_109,type,
vgetAval: vOptAval > vAval ).
tff(func_def_110,type,
vgetExp: vOptExp > vExp ).
tff(func_def_111,type,
sK31: vATMap ).
tff(func_def_112,type,
sK32: vQuestionnaire ).
tff(func_def_113,type,
sK33: vQMap ).
tff(func_def_114,type,
sK34: vAnsMap ).
tff(func_def_115,type,
sK35: vATMap ).
tff(func_def_116,type,
sK36: vAnsMap ).
tff(func_def_117,type,
sK37: vQMap ).
tff(func_def_118,type,
sK38: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_119,type,
sK39: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_120,type,
sK40: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_121,type,
sK41: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_122,type,
sK42: vQConf > vAnsMap ).
tff(func_def_123,type,
sK43: vQConf > vQMap ).
tff(func_def_124,type,
sK44: vQConf > vQuestionnaire ).
tff(func_def_125,type,
sK45: vMapConf > vATMap ).
tff(func_def_126,type,
sK46: vMapConf > vATMap ).
tff(func_def_127,type,
sK47: vAnsMap > vQID ).
tff(func_def_128,type,
sK48: vAnsMap > vAval ).
tff(func_def_129,type,
sK49: vAnsMap > vAnsMap ).
tff(func_def_130,type,
sK50: vQMap > vQID ).
tff(func_def_131,type,
sK51: vQMap > vLabel ).
tff(func_def_132,type,
sK52: vQMap > vAType ).
tff(func_def_133,type,
sK53: vQMap > vQMap ).
tff(func_def_134,type,
sK54: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_135,type,
sK55: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_136,type,
sK56: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_137,type,
sK57: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_138,type,
sK58: vAval > vnat ).
tff(func_def_139,type,
sK59: vAval > vnat ).
tff(func_def_140,type,
sK60: vAval > vnat ).
tff(func_def_141,type,
sK61: vAval > vnat ).
tff(func_def_142,type,
sK62: vAval > vnat ).
tff(func_def_143,type,
sK63: vAval > vnat ).
tff(func_def_144,type,
sK64: vAval > vnat ).
tff(func_def_145,type,
sK65: vAval > vnat ).
tff(func_def_146,type,
sK66: vAval > vnat ).
tff(func_def_147,type,
sK67: vAval > vnat ).
tff(func_def_148,type,
sK68: vAval > vYN ).
tff(func_def_149,type,
sK69: vAval > vYN ).
tff(func_def_150,type,
sK70: vAval > vYN ).
tff(func_def_151,type,
sK71: vAval > vYN ).
tff(func_def_152,type,
sK72: vAval > vnat ).
tff(func_def_153,type,
sK73: vAval > vnat ).
tff(func_def_154,type,
sK74: vOptExp > vExp ).
tff(func_def_155,type,
sK75: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_156,type,
sK76: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_157,type,
sK77: ( vAType * ( vAType * vBinOpT ) ) > vBinOpT ).
tff(func_def_158,type,
sK78: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_159,type,
sK79: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_160,type,
sK80: ( vAnsMap * vQID ) > vQID ).
tff(func_def_161,type,
sK81: ( vAnsMap * vQID ) > vAval ).
tff(func_def_162,type,
sK82: ( vAnsMap * vQID ) > vAnsMap ).
tff(func_def_163,type,
sK83: ( vAnsMap * vQID ) > vQID ).
tff(func_def_164,type,
sK84: ( vAnsMap * vQID ) > vQID ).
tff(func_def_165,type,
sK85: ( vAnsMap * vQID ) > vAval ).
tff(func_def_166,type,
sK86: ( vAnsMap * vQID ) > vAnsMap ).
tff(func_def_167,type,
sK87: ( vAnsMap * vQID ) > vQID ).
tff(func_def_168,type,
sK88: ( vAnsMap * vQID ) > vQID ).
tff(func_def_169,type,
sK89: vAnsMap > vQID ).
tff(func_def_170,type,
sK90: vAnsMap > vAval ).
tff(func_def_171,type,
sK91: vAnsMap > vAnsMap ).
tff(func_def_172,type,
sK92: ( vATMap * vQID ) > vQID ).
tff(func_def_173,type,
sK93: ( vATMap * vQID ) > vAType ).
tff(func_def_174,type,
sK94: ( vATMap * vQID ) > vATMap ).
tff(func_def_175,type,
sK95: ( vATMap * vQID ) > vQID ).
tff(func_def_176,type,
sK96: ( vATMap * vQID ) > vQID ).
tff(func_def_177,type,
sK97: ( vATMap * vQID ) > vAType ).
tff(func_def_178,type,
sK98: ( vATMap * vQID ) > vATMap ).
tff(func_def_179,type,
sK99: ( vATMap * vQID ) > vQID ).
tff(func_def_180,type,
sK100: ( vATMap * vQID ) > vQID ).
tff(func_def_181,type,
sK101: vATMap > vQID ).
tff(func_def_182,type,
sK102: vATMap > vAType ).
tff(func_def_183,type,
sK103: vATMap > vATMap ).
tff(func_def_184,type,
sK104: vAval > vYN ).
tff(func_def_185,type,
sK105: vAval > vnat ).
tff(func_def_186,type,
sK106: vAval > vstring ).
tff(func_def_187,type,
sK107: ( vQMap * vQID ) > vQMap ).
tff(func_def_188,type,
sK108: ( vQMap * vQID ) > vQID ).
tff(func_def_189,type,
sK109: ( vQMap * vQID ) > vAType ).
tff(func_def_190,type,
sK110: ( vQMap * vQID ) > vLabel ).
tff(func_def_191,type,
sK111: ( vQMap * vQID ) > vQID ).
tff(func_def_192,type,
sK112: ( vQMap * vQID ) > vQMap ).
tff(func_def_193,type,
sK113: ( vQMap * vQID ) > vQID ).
tff(func_def_194,type,
sK114: ( vQMap * vQID ) > vAType ).
tff(func_def_195,type,
sK115: ( vQMap * vQID ) > vLabel ).
tff(func_def_196,type,
sK116: ( vQMap * vQID ) > vQID ).
tff(func_def_197,type,
sK117: ( vQMap * vQID ) > vQID ).
tff(func_def_198,type,
sK118: vQMap > vQID ).
tff(func_def_199,type,
sK119: vQMap > vLabel ).
tff(func_def_200,type,
sK120: vQMap > vAType ).
tff(func_def_201,type,
sK121: vQMap > vQMap ).
tff(func_def_202,type,
sK122: vOptAType > vAType ).
tff(func_def_203,type,
sK123: vOptExp > vExp ).
tff(func_def_204,type,
sK124: vOptAval > vAval ).
tff(func_def_205,type,
sK125: vOptAval > vAval ).
tff(func_def_206,type,
sK126: ( vQID * vATMap ) > vAType ).
tff(func_def_207,type,
sK127: vAval > vYN ).
tff(func_def_208,type,
sK128: vAval > vnat ).
tff(func_def_209,type,
sK129: vAval > vstring ).
tff(func_def_210,type,
sK130: vOptQuestion > vQID ).
tff(func_def_211,type,
sK131: vOptQuestion > vLabel ).
tff(func_def_212,type,
sK132: vOptQuestion > vAType ).
tff(func_def_213,type,
sK133: vOptQuestion > vQID ).
tff(func_def_214,type,
sK134: vOptQuestion > vLabel ).
tff(func_def_215,type,
sK135: vOptQuestion > vAType ).
tff(func_def_216,type,
sK136: vEntry > vQID ).
tff(func_def_217,type,
sK137: vEntry > vLabel ).
tff(func_def_218,type,
sK138: vEntry > vAType ).
tff(func_def_219,type,
sK139: vEntry > vQID ).
tff(func_def_220,type,
sK140: vEntry > vAType ).
tff(func_def_221,type,
sK141: vEntry > vExp ).
tff(func_def_222,type,
sK142: vEntry > vQID ).
tff(func_def_223,type,
sK143: vEntry > vLabel ).
tff(func_def_224,type,
sK144: vEntry > vAType ).
tff(func_def_225,type,
sK145: vEntry > vQID ).
tff(func_def_226,type,
sK146: vOptAType > vAType ).
tff(func_def_227,type,
sK147: vExp > vAval ).
tff(func_def_228,type,
sK148: vExp > vQID ).
tff(func_def_229,type,
sK149: vExp > vExp ).
tff(func_def_230,type,
sK150: vExp > vBinOpT ).
tff(func_def_231,type,
sK151: vExp > vExp ).
tff(func_def_232,type,
sK152: vExp > vUnOpT ).
tff(func_def_233,type,
sK153: vExp > vExp ).
tff(func_def_234,type,
sK154: vExp > vExp ).
tff(func_def_235,type,
sK155: vExp > vAval ).
tff(func_def_236,type,
sK156: vExp > vAval ).
tff(func_def_237,type,
sK157: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_238,type,
sK158: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_239,type,
sK159: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_240,type,
sK160: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_241,type,
sK161: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_242,type,
sK162: vOptQConf > vQConf ).
tff(func_def_243,type,
sK163: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_244,type,
sK164: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_245,type,
sK165: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_246,type,
sK166: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_247,type,
sK167: vOptQConf > vQConf ).
tff(f1,axiom,
! [X0: vEntry] :
( ? [X1: vQID] : ( X0 = vask(X1) )
| ? [X1: vQID,X2: vLabel,X3: vAType] : ( X0 = vdefquestion(X1,X2,X3) )
| ? [X1: vQID,X3: vAType,X4: vExp] : ( X0 = vvalue(X1,X3,X4) )
| ? [X1: vQID,X2: vLabel,X3: vAType] : ( X0 = vquestion(X1,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-Entry') ).
tff(f2,axiom,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQID,X4: vAType,X5: vLabel] :
( ( vquestion(X3,X5,X2) = vquestion(X0,X1,X4) )
=> ( ( X2 = X4 )
& ( X5 = X1 )
& ( X3 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-question') ).
tff(f3,axiom,
! [X0: vQID,X1: vExp,X2: vAType,X3: vQID,X4: vAType,X5: vExp] :
( ( vvalue(X3,X2,X5) = vvalue(X0,X4,X1) )
=> ( ( X5 = X1 )
& ( X2 = X4 )
& ( X3 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-value') ).
tff(f4,axiom,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQID,X4: vAType,X5: vLabel] :
( ( vdefquestion(X3,X5,X2) = vdefquestion(X0,X1,X4) )
=> ( ( X2 = X4 )
& ( X5 = X1 )
& ( X3 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-defquestion') ).
tff(f5,axiom,
! [X0: vQID,X1: vQID] :
( ( vask(X0) = vask(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-ask') ).
tff(f6,axiom,
! [X0: vQID,X1: vAType,X2: vQID,X3: vAType,X4: vExp,X5: vLabel] : ( vquestion(X2,X5,X1) != vvalue(X0,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-question-value') ).
tff(f7,axiom,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQID,X4: vAType,X5: vLabel] : ( vquestion(X3,X5,X2) != vdefquestion(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-question-defquestion') ).
tff(f8,axiom,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQID] : ( vquestion(X0,X1,X2) != vask(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-question-ask') ).
tff(f9,axiom,
! [X0: vQID,X1: vAType,X2: vQID,X3: vAType,X4: vExp,X5: vLabel] : ( vvalue(X2,X1,X4) != vdefquestion(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-value-defquestion') ).
tff(f10,axiom,
! [X0: vQID,X1: vAType,X2: vExp,X3: vQID] : ( vvalue(X0,X1,X2) != vask(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-value-ask') ).
tff(f11,axiom,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQID] : ( vdefquestion(X0,X1,X2) != vask(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-defquestion-ask') ).
tff(f12,axiom,
! [X0: vYN] :
( ( X0 = vno )
| ( X0 = vyes ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-YN') ).
tff(f13,axiom,
vyes != vno,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-yes-no') ).
tff(f14,axiom,
! [X0: vQMap] :
( ? [X1: vQID,X2: vLabel,X3: vAType,X4: vQMap] : ( X0 = vqmbind(X1,X2,X3,X4) )
| ( X0 = vqmempty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-QMap') ).
tff(f15,axiom,
! [X0: vQMap,X1: vQID,X2: vLabel,X3: vAType,X4: vQID,X5: vAType,X6: vQMap,X7: vLabel] :
( ( vqmbind(X4,X7,X3,X0) = vqmbind(X1,X2,X5,X6) )
=> ( ( X0 = X6 )
& ( X3 = X5 )
& ( X7 = X2 )
& ( X4 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-qmbind') ).
tff(f16,axiom,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQMap] : ( vqmempty != vqmbind(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-qmempty-qmbind') ).
tff(f17,axiom,
! [X0: vMapConf] :
? [X1: vATMap,X2: vATMap] : ( X0 = vMC(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-MapConf') ).
tff(f18,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap] :
( ( vMC(X0,X1) = vMC(X2,X3) )
=> ( ( X1 = X3 )
& ( X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-MC') ).
tff(f21,axiom,
! [X0: vAType] :
( ( X0 = vText )
| ( X0 = vNumber )
| ( X0 = vYesNo ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-AType') ).
tff(f22,axiom,
vYesNo != vNumber,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-YesNo-Number') ).
tff(f23,axiom,
vYesNo != vText,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-YesNo-Text') ).
tff(f24,axiom,
vNumber != vText,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-Number-Text') ).
tff(f25,axiom,
! [X0: vExp] :
( ? [X6: vUnOpT,X3: vExp] : ( X0 = vunop(X6,X3) )
| ? [X3: vExp,X4: vBinOpT,X5: vExp] : ( X0 = vbinop(X3,X4,X5) )
| ? [X2: vQID] : ( X0 = vqvar(X2) )
| ? [X1: vAval] : ( X0 = vconstant(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-Exp') ).
tff(f26,axiom,
! [X0: vAval,X1: vAval] :
( ( vconstant(X0) = vconstant(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-constant') ).
tff(f27,axiom,
! [X0: vQID,X1: vQID] :
( ( vqvar(X0) = vqvar(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-qvar') ).
tff(f28,axiom,
! [X0: vExp,X1: vExp,X2: vExp,X3: vExp,X4: vBinOpT,X5: vBinOpT] :
( ( vbinop(X3,X4,X0) = vbinop(X2,X5,X1) )
=> ( ( X0 = X1 )
& ( X4 = X5 )
& ( X3 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-binop') ).
tff(f29,axiom,
! [X0: vUnOpT,X1: vExp,X2: vUnOpT,X3: vExp] :
( ( vunop(X0,X1) = vunop(X2,X3) )
=> ( ( X1 = X3 )
& ( X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-unop') ).
tff(f30,axiom,
! [X0: vAval,X1: vQID] : ( vconstant(X0) != vqvar(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-constant-qvar') ).
tff(f31,axiom,
! [X0: vAval,X1: vExp,X2: vBinOpT,X3: vExp] : ( vconstant(X0) != vbinop(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-constant-binop') ).
tff(f32,axiom,
! [X0: vAval,X1: vUnOpT,X2: vExp] : ( vconstant(X0) != vunop(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-constant-unop') ).
tff(f33,axiom,
! [X0: vQID,X1: vExp,X2: vBinOpT,X3: vExp] : ( vqvar(X0) != vbinop(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-qvar-binop') ).
tff(f34,axiom,
! [X0: vQID,X1: vUnOpT,X2: vExp] : ( vqvar(X0) != vunop(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-qvar-unop') ).
tff(f35,axiom,
! [X0: vExp,X1: vUnOpT,X2: vExp,X3: vExp,X4: vBinOpT] : ( vbinop(X3,X4,X0) != vunop(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-binop-unop') ).
tff(f40,axiom,
! [X0: vEntry,X1: vEntry] :
( ( vqsingle(X0) = vqsingle(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-qsingle') ).
tff(f41,axiom,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vQuestionnaire,X3: vQuestionnaire] :
( ( vqseq(X0,X1) = vqseq(X2,X3) )
=> ( ( X1 = X3 )
& ( X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-qseq') ).
tff(f42,axiom,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vExp,X3: vQuestionnaire,X4: vQuestionnaire,X5: vExp] :
( ( vqcond(X5,X4,X3) = vqcond(X2,X0,X1) )
=> ( ( X3 = X1 )
& ( X4 = X0 )
& ( X5 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-qcond') ).
tff(f44,axiom,
! [X0: vEntry] : ( vqempty != vqsingle(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-qempty-qsingle') ).
tff(f45,axiom,
! [X0: vQuestionnaire,X1: vQuestionnaire] : ( vqempty != vqseq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-qempty-qseq') ).
tff(f46,axiom,
! [X0: vExp,X1: vQuestionnaire,X2: vQuestionnaire] : ( vqempty != vqcond(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-qempty-qcond') ).
tff(f48,axiom,
! [X0: vEntry,X1: vQuestionnaire,X2: vQuestionnaire] : ( vqsingle(X0) != vqseq(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p','DIFF-qsingle-qcond') ).
tff(f51,axiom,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vQuestionnaire,X3: vQuestionnaire,X4: vExp] : ( vqseq(X3,X2) != vqcond(X4,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-qseq-qcond') ).
tff(f56,axiom,
! [X0: vOptQConf] :
( ? [X1: vQConf] : ( X0 = vsomeQConf(X1) )
| ( X0 = vnoQConf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptQConf') ).
tff(f57,axiom,
! [X0: vQConf,X1: vQConf] :
( ( vsomeQConf(X0) = vsomeQConf(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someQConf') ).
tff(f58,axiom,
! [X0: vQConf] : ( vnoQConf != vsomeQConf(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noQConf-someQConf') ).
tff(f59,axiom,
! [X0: vOptAType] :
( ? [X1: vAType] : ( X0 = vsomeAType(X1) )
| ( X0 = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptAType') ).
tff(f60,axiom,
! [X0: vAType,X1: vAType] :
( ( vsomeAType(X0) = vsomeAType(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someAType') ).
tff(f61,axiom,
! [X0: vAType] : ( vnoAType != vsomeAType(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noAType-someAType') ).
tff(f62,axiom,
! [X0: vAval] :
( ? [X3: vstring] : ( X0 = vT(X3) )
| ? [X2: vnat] : ( X0 = vNum(X2) )
| ? [X1: vYN] : ( X0 = vB(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-Aval') ).
tff(f63,axiom,
! [X0: vYN,X1: vYN] :
( ( vB(X0) = vB(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-B') ).
tff(f64,axiom,
! [X0: vnat,X1: vnat] :
( ( vNum(X0) = vNum(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-Num') ).
tff(f65,axiom,
! [X0: vstring,X1: vstring] :
( ( vT(X0) = vT(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-T') ).
tff(f66,axiom,
! [X0: vYN,X1: vnat] : ( vB(X0) != vNum(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-B-Num') ).
tff(f67,axiom,
! [X0: vYN,X1: vstring] : ( vB(X0) != vT(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-B-T') ).
tff(f68,axiom,
! [X0: vnat,X1: vstring] : ( vNum(X0) != vT(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-Num-T') ).
tff(f70,axiom,
! [X0: vOptExp] :
( ? [X1: vExp] : ( X0 = vsomeExp(X1) )
| ( X0 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptExp') ).
tff(f71,axiom,
! [X0: vExp,X1: vExp] :
( ( vsomeExp(X0) = vsomeExp(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someExp') ).
tff(f72,axiom,
! [X0: vExp] : ( vnoExp != vsomeExp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noExp-someExp') ).
tff(f73,axiom,
! [X0: vBinOpT] :
( ( X0 = vorop )
| ( X0 = vandop )
| ( X0 = vltop )
| ( X0 = vgtop )
| ( X0 = veqop )
| ( X0 = vdivop )
| ( X0 = vmulop )
| ( X0 = vsubop )
| ( X0 = vaddop ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-BinOpT') ).
tff(f74,axiom,
vaddop != vsubop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-addop-subop') ).
tff(f75,axiom,
vaddop != vmulop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-addop-mulop') ).
tff(f76,axiom,
vaddop != vdivop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-addop-divop') ).
tff(f77,axiom,
vaddop != veqop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-addop-eqop') ).
tff(f78,axiom,
vaddop != vgtop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-addop-gtop') ).
tff(f79,axiom,
vaddop != vltop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-addop-ltop') ).
tff(f80,axiom,
vaddop != vandop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-addop-andop') ).
tff(f81,axiom,
vaddop != vorop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-addop-orop') ).
tff(f82,axiom,
vsubop != vmulop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-subop-mulop') ).
tff(f83,axiom,
vsubop != vdivop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-subop-divop') ).
tff(f84,axiom,
vsubop != veqop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-subop-eqop') ).
tff(f85,axiom,
vsubop != vgtop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-subop-gtop') ).
tff(f86,axiom,
vsubop != vltop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-subop-ltop') ).
tff(f87,axiom,
vsubop != vandop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-subop-andop') ).
tff(f88,axiom,
vsubop != vorop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-subop-orop') ).
tff(f89,axiom,
vmulop != vdivop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-mulop-divop') ).
tff(f90,axiom,
vmulop != veqop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-mulop-eqop') ).
tff(f91,axiom,
vmulop != vgtop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-mulop-gtop') ).
tff(f92,axiom,
vmulop != vltop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-mulop-ltop') ).
tff(f93,axiom,
vmulop != vandop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-mulop-andop') ).
tff(f94,axiom,
vmulop != vorop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-mulop-orop') ).
tff(f95,axiom,
vdivop != veqop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-divop-eqop') ).
tff(f96,axiom,
vdivop != vgtop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-divop-gtop') ).
tff(f97,axiom,
vdivop != vltop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-divop-ltop') ).
tff(f98,axiom,
vdivop != vandop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-divop-andop') ).
tff(f99,axiom,
vdivop != vorop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-divop-orop') ).
tff(f100,axiom,
veqop != vgtop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-eqop-gtop') ).
tff(f101,axiom,
veqop != vltop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-eqop-ltop') ).
tff(f102,axiom,
veqop != vandop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-eqop-andop') ).
tff(f103,axiom,
veqop != vorop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-eqop-orop') ).
tff(f104,axiom,
vgtop != vltop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-gtop-ltop') ).
tff(f105,axiom,
vgtop != vandop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-gtop-andop') ).
tff(f106,axiom,
vgtop != vorop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-gtop-orop') ).
tff(f107,axiom,
vltop != vandop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-ltop-andop') ).
tff(f108,axiom,
vltop != vorop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-ltop-orop') ).
tff(f109,axiom,
vandop != vorop,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-andop-orop') ).
tff(f110,axiom,
! [X0: vAnsMap] :
( ? [X1: vQID,X2: vAval,X3: vAnsMap] : ( X0 = vabind(X1,X2,X3) )
| ( X0 = vaempty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-AnsMap') ).
tff(f111,axiom,
! [X0: vQID,X1: vAnsMap,X2: vAval,X3: vAval,X4: vQID,X5: vAnsMap] :
( ( vabind(X4,X2,X5) = vabind(X0,X3,X1) )
=> ( ( X5 = X1 )
& ( X2 = X3 )
& ( X4 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-abind') ).
tff(f112,axiom,
! [X0: vQID,X1: vAval,X2: vAnsMap] : ( vaempty != vabind(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-aempty-abind') ).
tff(f116,axiom,
! [X0: vOptQuestion] :
( ? [X1: vQID,X2: vLabel,X3: vAType] : ( X0 = vsomeQuestion(X1,X2,X3) )
| ( X0 = vnoQuestion ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptQuestion') ).
tff(f117,axiom,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQID,X4: vAType,X5: vLabel] :
( ( vsomeQuestion(X3,X5,X2) = vsomeQuestion(X0,X1,X4) )
=> ( ( X2 = X4 )
& ( X5 = X1 )
& ( X3 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someQuestion') ).
tff(f118,axiom,
! [X0: vQID,X1: vLabel,X2: vAType] : ( vnoQuestion != vsomeQuestion(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noQuestion-someQuestion') ).
tff(f121,axiom,
! [X0: vATMap] :
( ? [X1: vQID,X2: vAType,X3: vATMap] : ( X0 = vatmbind(X1,X2,X3) )
| ( X0 = vatmempty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-ATMap') ).
tff(f122,axiom,
! [X0: vQID,X1: vATMap,X2: vATMap,X3: vAType,X4: vQID,X5: vAType] :
( ( vatmbind(X4,X3,X2) = vatmbind(X0,X5,X1) )
=> ( ( X2 = X1 )
& ( X3 = X5 )
& ( X4 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-atmbind') ).
tff(f123,axiom,
! [X0: vQID,X1: vAType,X2: vATMap] : ( vatmempty != vatmbind(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-atmempty-atmbind') ).
tff(f132,axiom,
! [X0: vQConf] :
? [X1: vAnsMap,X2: vQMap,X3: vQuestionnaire] : ( X0 = vQC(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-QConf') ).
tff(f133,axiom,
! [X0: vQMap,X1: vAnsMap,X2: vQuestionnaire,X3: vAnsMap,X4: vQuestionnaire,X5: vQMap] :
( ( vQC(X3,X0,X4) = vQC(X1,X5,X2) )
=> ( ( X4 = X2 )
& ( X0 = X5 )
& ( X3 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-QC') ).
tff(f134,axiom,
! [X0: vOptAval] :
( ? [X1: vAval] : ( X0 = vsomeAval(X1) )
| ( X0 = vnoAval ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptAval') ).
tff(f135,axiom,
! [X0: vAval,X1: vAval] :
( ( vsomeAval(X0) = vsomeAval(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someAval') ).
tff(f136,axiom,
! [X0: vAval] : ( vnoAval != vsomeAval(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noAval-someAval') ).
tff(f143,axiom,
! [X0: vExp] : ( vgetExp(vsomeExp(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','getExp-0') ).
tff(f178,axiom,
~ visSomeAval(vnoAval),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAval-0') ).
tff(f179,axiom,
! [X0: vAval] : visSomeAval(vsomeAval(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAval-1') ).
tff(f180,axiom,
! [X0: vOptAval] :
( visSomeAval(X0)
=> ? [X1: vAval] : ( X0 = vsomeAval(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAval-true-INV') ).
tff(f181,axiom,
! [X0: vOptAval] :
( ~ visSomeAval(X0)
=> ( X0 = vnoAval ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAval-false-INV') ).
tff(f182,axiom,
~ visSomeAType(vnoAType),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAType-0') ).
tff(f183,axiom,
! [X0: vAType] : visSomeAType(vsomeAType(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAType-1') ).
tff(f184,axiom,
! [X0: vOptAType] :
( visSomeAType(X0)
=> ? [X1: vAType] : ( X0 = vsomeAType(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAType-true-INV') ).
tff(f185,axiom,
! [X0: vOptAType] :
( ~ visSomeAType(X0)
=> ( X0 = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAType-false-INV') ).
tff(f186,axiom,
! [X0: vYN] : ( vtypeOf(vB(X0)) = vYesNo ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeOf-0') ).
tff(f187,axiom,
! [X0: vnat] : ( vtypeOf(vNum(X0)) = vNumber ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeOf-1') ).
tff(f188,axiom,
! [X0: vstring] : ( vtypeOf(vT(X0)) = vText ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeOf-2') ).
tff(f189,axiom,
! [X0: vAval] :
( ? [X3: vstring] :
( ( vtypeOf(X0) = vText )
& ( X0 = vT(X3) ) )
| ? [X2: vnat] :
( ( vtypeOf(X0) = vNumber )
& ( X0 = vNum(X2) ) )
| ? [X1: vYN] :
( ( vtypeOf(X0) = vYesNo )
& ( X0 = vB(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeOf-INV') ).
tff(f193,axiom,
! [X0: vQID] : ( vlookupAnsMap(X0,vaempty) = vnoAval ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupAnsMap-0') ).
tff(f194,axiom,
! [X0: vQID,X1: vAval,X2: vAnsMap] : ( vlookupAnsMap(X0,vabind(X0,X1,X2)) = vsomeAval(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupAnsMap-1') ).
tff(f195,axiom,
! [X0: vQID,X1: vQID,X2: vAval,X3: vAnsMap] :
( ( X0 != X1 )
=> ( vlookupAnsMap(X0,vabind(X1,X2,X3)) = vlookupAnsMap(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupAnsMap-2') ).
tff(f196,axiom,
! [X0: vQID,X1: vAnsMap] :
( ? [X7: vQID,X8: vAval,X9: vAnsMap,X10: vQID] :
( ( vlookupAnsMap(X0,X1) = vlookupAnsMap(X10,X9) )
& ( X1 = vabind(X7,X8,X9) )
& ( X0 = X10 )
& ( X10 != X7 ) )
| ? [X3: vQID,X4: vAval,X5: vAnsMap,X6: vQID] :
( ( vlookupAnsMap(X0,X1) = vsomeAval(X4) )
& ( X1 = vabind(X3,X4,X5) )
& ( X0 = X6 )
& ( X6 = X3 ) )
| ? [X2: vQID] :
( ( vlookupAnsMap(X0,X1) = vnoAval )
& ( X1 = vaempty )
& ( X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupAnsMap-INV') ).
tff(f200,axiom,
~ visSomeQuestion(vnoQuestion),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeQuestion-0') ).
tff(f201,axiom,
! [X0: vQID,X1: vLabel,X2: vAType] : visSomeQuestion(vsomeQuestion(X0,X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeQuestion-1') ).
tff(f202,axiom,
! [X0: vOptQuestion] :
( visSomeQuestion(X0)
=> ? [X1: vQID,X2: vLabel,X3: vAType] : ( X0 = vsomeQuestion(X1,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeQuestion-true-INV') ).
tff(f203,axiom,
! [X0: vOptQuestion] :
( ~ visSomeQuestion(X0)
=> ( X0 = vnoQuestion ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeQuestion-false-INV') ).
tff(f204,axiom,
! [X0: vQID] : ( vlookupQMap(X0,vqmempty) = vnoQuestion ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupQMap-0') ).
tff(f205,axiom,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQMap] : ( vlookupQMap(X0,vqmbind(X0,X1,X2,X3)) = vsomeQuestion(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupQMap-1') ).
tff(f206,axiom,
! [X0: vQMap,X1: vQID,X2: vAType,X3: vLabel,X4: vQID] :
( ( X4 != X1 )
=> ( vlookupQMap(X4,vqmbind(X1,X3,X2,X0)) = vlookupQMap(X4,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupQMap-2') ).
tff(f207,axiom,
! [X0: vQID,X1: vQMap] :
( ? [X8: vQMap,X9: vQID,X10: vAType,X11: vLabel,X12: vQID] :
( ( vlookupQMap(X0,X1) = vlookupQMap(X12,X8) )
& ( X1 = vqmbind(X9,X11,X10,X8) )
& ( X0 = X12 )
& ( X12 != X9 ) )
| ? [X3: vQMap,X4: vQID,X5: vAType,X6: vLabel,X7: vQID] :
( ( vlookupQMap(X0,X1) = vsomeQuestion(X7,X6,X5) )
& ( X1 = vqmbind(X4,X6,X5,X3) )
& ( X0 = X7 )
& ( X7 = X4 ) )
| ? [X2: vQID] :
( ( vlookupQMap(X0,X1) = vnoQuestion )
& ( X1 = vqmempty )
& ( X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupQMap-INV') ).
tff(f218,axiom,
~ visSomeQC(vnoQConf),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeQC-0') ).
tff(f219,axiom,
! [X0: vQConf] : visSomeQC(vsomeQConf(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeQC-1') ).
tff(f220,axiom,
! [X0: vOptQConf] :
( visSomeQC(X0)
=> ? [X1: vQConf] : ( X0 = vsomeQConf(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeQC-true-INV') ).
tff(f221,axiom,
! [X0: vOptQConf] :
( ~ visSomeQC(X0)
=> ( X0 = vnoQConf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeQC-false-INV') ).
tff(f224,axiom,
~ visSomeExp(vnoExp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeExp-0') ).
tff(f225,axiom,
! [X0: vExp] : visSomeExp(vsomeExp(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeExp-1') ).
tff(f226,axiom,
! [X0: vOptExp] :
( visSomeExp(X0)
=> ? [X1: vExp] : ( X0 = vsomeExp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeExp-true-INV') ).
tff(f227,axiom,
! [X0: vOptExp] :
( ~ visSomeExp(X0)
=> ( X0 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeExp-false-INV') ).
tff(f228,axiom,
! [X0: vAval] : vexpIsValue(vconstant(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','expIsValue-0') ).
tff(f229,axiom,
! [X0: vExp] :
( ! [X1: vAval] : ( X0 != vconstant(X1) )
=> ~ vexpIsValue(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','expIsValue-1') ).
tff(f230,axiom,
! [X0: vExp] :
( vexpIsValue(X0)
=> ? [X1: vAval] : ( X0 = vconstant(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','expIsValue-true-INV') ).
tff(f231,axiom,
! [X0: vExp] :
( ~ vexpIsValue(X0)
=> ? [X1: vExp] :
( ( X0 = X1 )
& ! [X2: vAval] : ( X1 != vconstant(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','expIsValue-false-INV') ).
tff(f244,axiom,
! [X0: vAval] : ( vevalBinOp(veqop,X0,X0) = vsomeExp(vconstant(vB(vyes))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','evalBinOp-8') ).
tff(f245,axiom,
! [X0: vAval,X1: vAval] :
( ( X0 != X1 )
=> ( vevalBinOp(veqop,X0,X1) = vsomeExp(vconstant(vB(vno))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','evalBinOp-9') ).
tff(f246,axiom,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ( ( X0 != veqop )
& ( ! [X6: vYN] : ( X2 != vB(X6) )
| ! [X5: vYN] : ( X1 != vB(X5) )
| ( X0 != vorop ) )
& ( ! [X6: vYN] : ( X2 != vB(X6) )
| ! [X5: vYN] : ( X1 != vB(X5) )
| ( X0 != vandop ) )
& ( ! [X4: vnat] : ( X2 != vNum(X4) )
| ! [X3: vnat] : ( X1 != vNum(X3) )
| ( X0 != vltop ) )
& ( ! [X4: vnat] : ( X2 != vNum(X4) )
| ! [X3: vnat] : ( X1 != vNum(X3) )
| ( X0 != vgtop ) )
& ( ! [X4: vnat] : ( X2 != vNum(X4) )
| ! [X3: vnat] : ( X1 != vNum(X3) )
| ( X0 != vdivop ) )
& ( ! [X4: vnat] : ( X2 != vNum(X4) )
| ! [X3: vnat] : ( X1 != vNum(X3) )
| ( X0 != vmulop ) )
& ( ! [X4: vnat] : ( X2 != vNum(X4) )
| ! [X3: vnat] : ( X1 != vNum(X3) )
| ( X0 != vsubop ) )
& ( ! [X4: vnat] : ( X2 != vNum(X4) )
| ! [X3: vnat] : ( X1 != vNum(X3) )
| ( X0 != vaddop ) ) )
=> ( vevalBinOp(X0,X1,X2) = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','evalBinOp-10') ).
tff(f251,axiom,
! [X0: vAval,X1: vAnsMap] : ( vreduceExp(vconstant(X0),X1) = vnoExp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-0') ).
tff(f253,axiom,
! [X0: vQID,X1: vAnsMap] :
( ~ visSomeAval(vlookupAnsMap(X0,X1))
=> ( vreduceExp(vqvar(X0),X1) = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-2') ).
tff(f255,axiom,
! [X0: vExp,X1: vExp,X2: vAnsMap,X3: vBinOpT] :
( ( visSomeExp(vreduceExp(X1,X2))
& ~ vexpIsValue(X1)
& vexpIsValue(X0) )
=> ( vreduceExp(vbinop(X0,X3,X1),X2) = vsomeExp(vbinop(X0,X3,vgetExp(vreduceExp(X1,X2)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-4') ).
tff(f256,axiom,
! [X0: vExp,X1: vExp,X2: vAnsMap,X3: vBinOpT] :
( ( ~ visSomeExp(vreduceExp(X1,X2))
& ~ vexpIsValue(X1)
& vexpIsValue(X0) )
=> ( vreduceExp(vbinop(X0,X3,X1),X2) = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-5') ).
tff(f257,axiom,
! [X0: vExp,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
( ( visSomeExp(vreduceExp(X0,X1))
& ~ vexpIsValue(X0) )
=> ( vreduceExp(vbinop(X0,X2,X3),X1) = vsomeExp(vbinop(vgetExp(vreduceExp(X0,X1)),X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-6') ).
tff(f258,axiom,
! [X0: vExp,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
( ( ~ visSomeExp(vreduceExp(X0,X1))
& ~ vexpIsValue(X0) )
=> ( vreduceExp(vbinop(X0,X2,X3),X1) = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-7') ).
tff(f260,axiom,
! [X0: vExp,X1: vAnsMap,X2: vUnOpT] :
( ( visSomeExp(vreduceExp(X0,X1))
& ~ vexpIsValue(X0) )
=> ( vreduceExp(vunop(X2,X0),X1) = vsomeExp(vunop(X2,vgetExp(vreduceExp(X0,X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-9') ).
tff(f261,axiom,
! [X0: vExp,X1: vAnsMap,X2: vUnOpT] :
( ( ~ visSomeExp(vreduceExp(X0,X1))
& ~ vexpIsValue(X0) )
=> ( vreduceExp(vunop(X2,X0),X1) = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-10') ).
tff(f263,axiom,
! [X0: vAnsMap,X1: vQMap] : ( vreduce(vqempty,X0,X1) = vnoQConf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-0') ).
tff(f266,axiom,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ( visSomeExp(vreduceExp(X4,X2))
& ~ vexpIsValue(X4) )
=> ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vsomeQConf(vQC(X2,X0,vqsingle(vvalue(X3,X1,vgetExp(vreduceExp(X4,X2)))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-3') ).
tff(f267,axiom,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ( ~ visSomeExp(vreduceExp(X4,X2))
& ~ vexpIsValue(X4) )
=> ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vnoQConf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-4') ).
tff(f268,axiom,
! [X0: vQMap,X1: vAType,X2: vLabel,X3: vAnsMap,X4: vQID] : ( vreduce(vqsingle(vdefquestion(X4,X2,X1)),X3,X0) = vsomeQConf(vQC(X3,vqmbind(X4,X2,X1,X0),vqempty)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-5') ).
tff(f270,axiom,
! [X0: vQID,X1: vQMap,X2: vAnsMap] :
( ~ visSomeQuestion(vlookupQMap(X0,X1))
=> ( vreduce(vqsingle(vask(X0)),X2,X1) = vnoQConf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-7') ).
tff(f271,axiom,
! [X0: vQuestionnaire,X1: vAnsMap,X2: vQMap] : ( vreduce(vqseq(vqempty,X0),X1,X2) = vsomeQConf(vQC(X1,X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-8') ).
tff(f273,axiom,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vAnsMap,X3: vQMap] :
( ( ~ visSomeQC(vreduce(X0,X2,X3))
& ! [X4: vQuestionnaire] :
( ( X1 != X4 )
| ( X0 != vqempty ) ) )
=> ( vreduce(vqseq(X0,X1),X2,X3) = vnoQConf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-10') ).
tff(f274,axiom,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vAnsMap,X3: vQMap] : ( vreduce(vqcond(vconstant(vB(vyes)),X0,X1),X2,X3) = vsomeQConf(vQC(X2,X3,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-11') ).
tff(f275,axiom,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vAnsMap,X3: vQMap] : ( vreduce(vqcond(vconstant(vB(vno)),X0,X1),X2,X3) = vsomeQConf(vQC(X2,X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-12') ).
tff(f276,axiom,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( ( visSomeExp(vreduceExp(X2,X3))
& ! [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 != X8 )
| ( X1 != X7 )
| ( X2 != vconstant(vB(vno)) ) )
& ! [X5: vQuestionnaire,X6: vQuestionnaire] :
( ( X4 != X6 )
| ( X1 != X5 )
| ( X2 != vconstant(vB(vyes)) ) ) )
=> ( vreduce(vqcond(X2,X1,X4),X3,X0) = vsomeQConf(vQC(X3,X0,vqcond(vgetExp(vreduceExp(X2,X3)),X1,X4))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-13') ).
tff(f277,axiom,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( ( ~ visSomeExp(vreduceExp(X2,X3))
& ! [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 != X8 )
| ( X1 != X7 )
| ( X2 != vconstant(vB(vno)) ) )
& ! [X5: vQuestionnaire,X6: vQuestionnaire] :
( ( X4 != X6 )
| ( X1 != X5 )
| ( X2 != vconstant(vB(vyes)) ) ) )
=> ( vreduce(vqcond(X2,X1,X4),X3,X0) = vnoQConf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-14') ).
tff(f280,axiom,
! [X0: vQID] : ( vlookupATMap(X0,vatmempty) = vnoAType ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupATMap-0') ).
tff(f281,axiom,
! [X0: vQID,X1: vAType,X2: vATMap] : ( vlookupATMap(X0,vatmbind(X0,X1,X2)) = vsomeAType(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupATMap-1') ).
tff(f282,axiom,
! [X0: vQID,X1: vQID,X2: vAType,X3: vATMap] :
( ( X0 != X1 )
=> ( vlookupATMap(X0,vatmbind(X1,X2,X3)) = vlookupATMap(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupATMap-2') ).
tff(f283,axiom,
! [X0: vQID,X1: vATMap] :
( ? [X7: vQID,X8: vAType,X9: vATMap,X10: vQID] :
( ( vlookupATMap(X0,X1) = vlookupATMap(X10,X9) )
& ( X1 = vatmbind(X7,X8,X9) )
& ( X0 = X10 )
& ( X10 != X7 ) )
| ? [X3: vQID,X4: vAType,X5: vATMap,X6: vQID] :
( ( vlookupATMap(X0,X1) = vsomeAType(X4) )
& ( X1 = vatmbind(X3,X4,X5) )
& ( X0 = X6 )
& ( X6 = X3 ) )
| ? [X2: vQID] :
( ( vlookupATMap(X0,X1) = vnoAType )
& ( X1 = vatmempty )
& ( X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','lookupATMap-INV') ).
tff(f295,axiom,
vtypeAM(vaempty) = vatmempty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeAM-0') ).
tff(f296,axiom,
! [X0: vQID,X1: vAval,X2: vAnsMap] : ( vtypeAM(vabind(X0,X1,X2)) = vatmbind(X0,vtypeOf(X1),vtypeAM(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeAM-1') ).
tff(f297,axiom,
! [X0: vAnsMap] :
( ? [X1: vQID,X2: vAval,X3: vAnsMap] :
( ( vtypeAM(X0) = vatmbind(X1,vtypeOf(X2),vtypeAM(X3)) )
& ( X0 = vabind(X1,X2,X3) ) )
| ( ( vtypeAM(X0) = vatmempty )
& ( X0 = vaempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeAM-INV') ).
tff(f298,axiom,
vtypeQM(vqmempty) = vatmempty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeQM-0') ).
tff(f299,axiom,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQMap] : ( vtypeQM(vqmbind(X0,X1,X2,X3)) = vatmbind(X0,X2,vtypeQM(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeQM-1') ).
tff(f300,axiom,
! [X0: vQMap] :
( ? [X1: vQID,X2: vLabel,X3: vAType,X4: vQMap] :
( ( vtypeQM(X0) = vatmbind(X1,X3,vtypeQM(X4)) )
& ( X0 = vqmbind(X1,X2,X3,X4) ) )
| ( ( vtypeQM(X0) = vatmempty )
& ( X0 = vqmempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeQM-INV') ).
tff(f301,axiom,
vcheckBinOp(vaddop,vNumber,vNumber) = vsomeAType(vNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-0') ).
tff(f302,axiom,
vcheckBinOp(vsubop,vNumber,vNumber) = vsomeAType(vNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-1') ).
tff(f303,axiom,
vcheckBinOp(vmulop,vNumber,vNumber) = vsomeAType(vNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-2') ).
tff(f304,axiom,
vcheckBinOp(vdivop,vNumber,vNumber) = vsomeAType(vNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-3') ).
tff(f305,axiom,
vcheckBinOp(vgtop,vNumber,vNumber) = vsomeAType(vYesNo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-4') ).
tff(f306,axiom,
vcheckBinOp(vltop,vNumber,vNumber) = vsomeAType(vYesNo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-5') ).
tff(f307,axiom,
vcheckBinOp(vandop,vYesNo,vYesNo) = vsomeAType(vYesNo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-6') ).
tff(f308,axiom,
vcheckBinOp(vorop,vYesNo,vYesNo) = vsomeAType(vYesNo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-7') ).
tff(f309,axiom,
! [X0: vAType,X1: vAType] : ( vcheckBinOp(veqop,X0,X1) = vsomeAType(vYesNo) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-8') ).
tff(f310,axiom,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ( ( X0 != veqop )
& ( ( X2 != vYesNo )
| ( X1 != vYesNo )
| ( X0 != vorop ) )
& ( ( X2 != vYesNo )
| ( X1 != vYesNo )
| ( X0 != vandop ) )
& ( ( X2 != vNumber )
| ( X1 != vNumber )
| ( X0 != vltop ) )
& ( ( X2 != vNumber )
| ( X1 != vNumber )
| ( X0 != vgtop ) )
& ( ( X2 != vNumber )
| ( X1 != vNumber )
| ( X0 != vdivop ) )
& ( ( X2 != vNumber )
| ( X1 != vNumber )
| ( X0 != vmulop ) )
& ( ( X2 != vNumber )
| ( X1 != vNumber )
| ( X0 != vsubop ) )
& ( ( X2 != vNumber )
| ( X1 != vNumber )
| ( X0 != vaddop ) ) )
=> ( vcheckBinOp(X0,X1,X2) = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-9') ).
tff(f311,axiom,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ? [X5: vBinOpT,X6: vAType,X7: vAType] :
( ( vcheckBinOp(X0,X1,X2) = vnoAType )
& ( X2 = X7 )
& ( X1 = X6 )
& ( X0 = X5 )
& ( X5 != veqop )
& ( ( X7 != vYesNo )
| ( X6 != vYesNo )
| ( X5 != vorop ) )
& ( ( X7 != vYesNo )
| ( X6 != vYesNo )
| ( X5 != vandop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vltop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vgtop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vdivop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vmulop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vsubop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vaddop ) ) )
| ? [X3: vAType,X4: vAType] :
( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = X4 )
& ( X1 = X3 )
& ( X0 = veqop ) )
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vYesNo )
& ( X1 = vYesNo )
& ( X0 = vorop ) )
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vYesNo )
& ( X1 = vYesNo )
& ( X0 = vandop ) )
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vltop ) )
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vgtop ) )
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vdivop ) )
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vmulop ) )
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vsubop ) )
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vaddop ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','checkBinOp-INV') ).
tff(f315,axiom,
! [X0: vATMap,X1: vYN] : ( vecheck(X0,vconstant(vB(X1))) = vsomeAType(vYesNo) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-0') ).
tff(f316,axiom,
! [X0: vATMap,X1: vnat] : ( vecheck(X0,vconstant(vNum(X1))) = vsomeAType(vNumber) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-1') ).
tff(f317,axiom,
! [X0: vATMap,X1: vstring] : ( vecheck(X0,vconstant(vT(X1))) = vsomeAType(vText) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-2') ).
tff(f318,axiom,
! [X0: vATMap,X1: vQID] : ( vecheck(X0,vqvar(X1)) = vlookupATMap(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-3') ).
tff(f320,axiom,
! [X0: vATMap,X1: vExp,X2: vExp,X3: vBinOpT] :
( ~ ( visSomeAType(vecheck(X0,X2))
& visSomeAType(vecheck(X0,X1)) )
=> ( vecheck(X0,vbinop(X1,X3,X2)) = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-5') ).
tff(f322,axiom,
! [X0: vATMap,X1: vExp,X2: vUnOpT] :
( ~ visSomeAType(vecheck(X0,X1))
=> ( vecheck(X0,vunop(X2,X1)) = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-7') ).
tff(f324,axiom,
! [X0: vATMap,X1: vATMap] : vptcheck(vMC(X0,X1),vqempty,vMC(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqempty') ).
tff(f325,axiom,
! [X0: vATMap,X1: vATMap,X2: vAType,X3: vLabel,X4: vQID] :
( ( vlookupATMap(X4,X1) = vnoAType )
=> vptcheck(vMC(X1,X0),vqsingle(vquestion(X4,X3,X2)),vMC(vatmbind(X4,X2,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tquestion') ).
tff(f326,axiom,
! [X0: vATMap,X1: vATMap,X2: vAType,X3: vQID,X4: vExp] :
( ( ( vecheck(X1,X4) = vsomeAType(X2) )
& ( vlookupATMap(X3,X1) = vnoAType ) )
=> vptcheck(vMC(X1,X0),vqsingle(vvalue(X3,X2,X4)),vMC(vatmbind(X3,X2,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tvalue') ).
tff(f327,axiom,
! [X0: vATMap,X1: vATMap,X2: vAType,X3: vLabel,X4: vQID] :
( ( vlookupATMap(X4,X0) = vnoAType )
=> vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X4,X3,X2)),vMC(X1,vatmbind(X4,X2,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tdefquestion') ).
tff(f328,axiom,
! [X0: vQID,X1: vATMap,X2: vAType,X3: vATMap] :
( ( ( vlookupATMap(X0,X3) = vnoAType )
& ( vlookupATMap(X0,X1) = vsomeAType(X2) ) )
=> vptcheck(vMC(X3,X1),vqsingle(vask(X0)),vMC(vatmbind(X0,X2,X3),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Task') ).
tff(f329,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vQuestionnaire] :
( ( vptcheck(vMC(X6,X5),X7,vMC(X1,X2))
& vptcheck(vMC(X4,X0),X3,vMC(X6,X5)) )
=> vptcheck(vMC(X4,X0),vqseq(X3,X7),vMC(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqseq') ).
tff(f330,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( ( vptcheck(vMC(X2,X0),X6,vMC(X4,X3))
& vptcheck(vMC(X2,X0),X1,vMC(X4,X3))
& ( vecheck(X2,X5) = vsomeAType(vYesNo) ) )
=> vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X4,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqcond') ).
tff(f332,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap] :
( vptcheck(vMC(X0,X1),vqempty,vMC(X2,X3))
=> ( X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqempty_inv1') ).
tff(f333,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap] :
( vptcheck(vMC(X0,X1),vqempty,vMC(X2,X3))
=> ( X3 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqempty_inv2') ).
tff(f334,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
=> ( vlookupATMap(X6,X1) = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tquestion_inv1') ).
tff(f335,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
=> ( X5 = vatmbind(X6,X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tquestion_inv2') ).
tff(f336,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
=> ( X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tquestion_inv3') ).
tff(f337,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
=> ( vlookupATMap(X5,X1) = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tvalue_inv1') ).
tff(f338,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
=> ( vecheck(X1,X6) = vsomeAType(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tvalue_inv2') ).
tff(f339,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
=> ( X4 = vatmbind(X5,X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tvalue_inv3') ).
tff(f340,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
=> ( X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tvalue_inv4') ).
tff(f341,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
=> ( vlookupATMap(X6,X0) = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tdefquestion_inv1') ).
tff(f342,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
=> ( X5 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tdefquestion_inv2') ).
tff(f343,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
=> ( X2 = vatmbind(X6,X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tdefquestion_inv3') ).
tff(f344,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap,X4: vQID] :
( vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
=> ( vlookupATMap(X4,X1) = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Task_inv1') ).
tff(f345,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap,X4: vQID] :
( vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
=> ? [X5: vAType] : ( vlookupATMap(X4,X0) = vsomeAType(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Task_inv2') ).
tff(f346,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID] :
( ( ( vlookupATMap(X5,X0) = vsomeAType(X3) )
& vptcheck(vMC(X1,X0),vqsingle(vask(X5)),vMC(X4,X2)) )
=> ( X4 = vatmbind(X5,X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Task_inv3') ).
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/sandbox/benchmark/theBenchmark.p','Task_inv4') ).
tff(f348,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vQuestionnaire] :
( vptcheck(vMC(X2,X0),vqseq(X1,X5),vMC(X3,X4))
=> ? [X6: vATMap,X7: vATMap] : vptcheck(vMC(X2,X0),X1,vMC(X6,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqseq_inv1') ).
tff(f349,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vQuestionnaire] :
( ( vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
& vptcheck(vMC(X2,X0),vqseq(X1,X7),vMC(X4,X6)) )
=> ? [X8: vATMap,X9: vATMap] : vptcheck(vMC(X5,X3),X7,vMC(X8,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqseq_inv2') ).
tff(f350,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vQuestionnaire] :
( ( vptcheck(vMC(X7,X5),X9,vMC(X1,X2))
& vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
& vptcheck(vMC(X4,X0),vqseq(X3,X9),vMC(X6,X8)) )
=> ( X6 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqseq_inv3') ).
tff(f351,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vQuestionnaire] :
( ( vptcheck(vMC(X7,X5),X9,vMC(X1,X2))
& vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
& vptcheck(vMC(X4,X0),vqseq(X3,X9),vMC(X6,X8)) )
=> ( X8 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqseq_inv4') ).
tff(f352,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
=> ( vecheck(X2,X5) = vsomeAType(vYesNo) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqcond_inv1') ).
tff(f353,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
=> ? [X7: vATMap,X8: vATMap] : vptcheck(vMC(X2,X0),X1,vMC(X7,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqcond_inv2') ).
tff(f354,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
=> ? [X7: vATMap,X8: vATMap] : vptcheck(vMC(X2,X0),X6,vMC(X7,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqcond_inv3') ).
tff(f355,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vExp,X10: vQuestionnaire] :
( ( vptcheck(vMC(X4,X0),X10,vMC(X1,X2))
& vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
& vptcheck(vMC(X4,X0),vqcond(X9,X3,X10),vMC(X6,X8)) )
=> ( X7 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqcond_inv4') ).
tff(f356,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vExp,X10: vQuestionnaire] :
( ( vptcheck(vMC(X4,X0),X10,vMC(X1,X2))
& vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
& vptcheck(vMC(X4,X0),vqcond(X9,X3,X10),vMC(X6,X8)) )
=> ( X5 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqcond_inv5') ).
tff(f357,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vExp,X8: vQuestionnaire] :
( ( vptcheck(vMC(X2,X0),X8,vMC(X5,X3))
& vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
& vptcheck(vMC(X2,X0),vqcond(X7,X1,X8),vMC(X4,X6)) )
=> ( X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqcond_inv6') ).
tff(f358,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vExp,X8: vQuestionnaire] :
( ( vptcheck(vMC(X2,X0),X8,vMC(X5,X3))
& vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
& vptcheck(vMC(X2,X0),vqcond(X7,X1,X8),vMC(X4,X6)) )
=> ( X6 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Tqcond_inv7') ).
tff(f360,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( ( vreduce(vq1,X5,X2) = vsomeQConf(vQC(X3,X6,X1)) )
& vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vq1,vMC(X4,X0)) )
=> vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-qcond-IH0') ).
tff(f361,axiom,
! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( ( vreduce(vq2,X5,X2) = vsomeQConf(vQC(X3,X6,X1)) )
& vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vq2,vMC(X4,X0)) )
=> vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-qcond-IH1') ).
tff(f362,conjecture,
! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( ( vreduce(vqcond(vconstant(vB(vno)),vq1,vq2),X5,X2) = vsomeQConf(vQC(X3,X6,X1)) )
& vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vqcond(vconstant(vB(vno)),vq1,vq2),vMC(X4,X0)) )
=> vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-qcond-constant-B-no') ).
tff(f363,negated_conjecture,
~ ! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( ( vreduce(vqcond(vconstant(vB(vno)),vq1,vq2),X5,X2) = vsomeQConf(vQC(X3,X6,X1)) )
& vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vqcond(vconstant(vB(vno)),vq1,vq2),vMC(X4,X0)) )
=> vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
inference(negated_conjecture,[status(cth)],[f362]) ).
tff(f364,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ( ( X0 != veqop )
& ( ! [X18: vYN] : ( vB(X18) != X2 )
| ! [X17: vYN] : ( vB(X17) != X1 )
| ( X0 != vorop ) )
& ( ! [X16: vYN] : ( vB(X16) != X2 )
| ! [X15: vYN] : ( vB(X15) != X1 )
| ( X0 != vandop ) )
& ( ! [X14: vnat] : ( vNum(X14) != X2 )
| ! [X13: vnat] : ( vNum(X13) != X1 )
| ( X0 != vltop ) )
& ( ! [X12: vnat] : ( vNum(X12) != X2 )
| ! [X11: vnat] : ( vNum(X11) != X1 )
| ( X0 != vgtop ) )
& ( ! [X10: vnat] : ( vNum(X10) != X2 )
| ! [X9: vnat] : ( vNum(X9) != X1 )
| ( X0 != vdivop ) )
& ( ! [X8: vnat] : ( vNum(X8) != X2 )
| ! [X7: vnat] : ( vNum(X7) != X1 )
| ( X0 != vmulop ) )
& ( ! [X6: vnat] : ( vNum(X6) != X2 )
| ! [X5: vnat] : ( vNum(X5) != X1 )
| ( X0 != vsubop ) )
& ( ! [X4: vnat] : ( X2 != vNum(X4) )
| ! [X3: vnat] : ( X1 != vNum(X3) )
| ( X0 != vaddop ) ) )
=> ( vevalBinOp(X0,X1,X2) = vnoExp ) ),
inference(rectify,[],[f246]) ).
tff(f365,plain,
! [X0: vEntry] :
( ? [X10: vQID] : ( vask(X10) = X0 )
| ? [X7: vQID,X8: vLabel,X9: vAType] : ( vdefquestion(X7,X8,X9) = X0 )
| ? [X4: vQID,X5: vAType,X6: vExp] : ( vvalue(X4,X5,X6) = X0 )
| ? [X1: vQID,X2: vLabel,X3: vAType] : ( X0 = vquestion(X1,X2,X3) ) ),
inference(rectify,[],[f1]) ).
tff(f366,plain,
! [X0: vExp] :
( ? [X6: vUnOpT,X7: vExp] : ( vunop(X6,X7) = X0 )
| ? [X3: vExp,X4: vBinOpT,X5: vExp] : ( X0 = vbinop(X3,X4,X5) )
| ? [X2: vQID] : ( X0 = vqvar(X2) )
| ? [X1: vAval] : ( X0 = vconstant(X1) ) ),
inference(rectify,[],[f25]) ).
tff(f367,plain,
? [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( vreduce(vqcond(vconstant(vB(vno)),vq1,vq2),X5,X2) = vsomeQConf(vQC(X3,X6,X1)) )
& vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vqcond(vconstant(vB(vno)),vq1,vq2),vMC(X4,X0))
& ~ vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
inference(ennf_transformation,[],[f363]) ).
tff(f368,plain,
? [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( vreduce(vqcond(vconstant(vB(vno)),vq1,vq2),X5,X2) = vsomeQConf(vQC(X3,X6,X1)) )
& vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vqcond(vconstant(vB(vno)),vq1,vq2),vMC(X4,X0))
& ~ vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
inference(flattening,[],[f367]) ).
tff(f369,plain,
! [X0: vAval,X1: vAval] :
( ( vconstant(X1) != vconstant(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f26]) ).
tff(f370,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vExp,X8: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),X8,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqcond(X7,X1,X8),vMC(X4,X6))
| ( X6 = X3 ) ),
inference(ennf_transformation,[],[f358]) ).
tff(f371,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vExp,X8: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),X8,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqcond(X7,X1,X8),vMC(X4,X6))
| ( X6 = X3 ) ),
inference(flattening,[],[f370]) ).
tff(f372,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vExp,X8: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),X8,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqcond(X7,X1,X8),vMC(X4,X6))
| ( X4 = X5 ) ),
inference(ennf_transformation,[],[f357]) ).
tff(f373,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vExp,X8: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),X8,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqcond(X7,X1,X8),vMC(X4,X6))
| ( X4 = X5 ) ),
inference(flattening,[],[f372]) ).
tff(f374,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vExp,X10: vQuestionnaire] :
( ~ vptcheck(vMC(X4,X0),X10,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqcond(X9,X3,X10),vMC(X6,X8))
| ( X5 = X2 ) ),
inference(ennf_transformation,[],[f356]) ).
tff(f375,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vExp,X10: vQuestionnaire] :
( ~ vptcheck(vMC(X4,X0),X10,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqcond(X9,X3,X10),vMC(X6,X8))
| ( X5 = X2 ) ),
inference(flattening,[],[f374]) ).
tff(f376,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vExp,X10: vQuestionnaire] :
( ~ vptcheck(vMC(X4,X0),X10,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqcond(X9,X3,X10),vMC(X6,X8))
| ( X7 = X1 ) ),
inference(ennf_transformation,[],[f355]) ).
tff(f377,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vExp,X10: vQuestionnaire] :
( ~ vptcheck(vMC(X4,X0),X10,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqcond(X9,X3,X10),vMC(X6,X8))
| ( X7 = X1 ) ),
inference(flattening,[],[f376]) ).
tff(f378,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
| ? [X7: vATMap,X8: vATMap] : vptcheck(vMC(X2,X0),X6,vMC(X7,X8)) ),
inference(ennf_transformation,[],[f354]) ).
tff(f379,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
| ? [X7: vATMap,X8: vATMap] : vptcheck(vMC(X2,X0),X1,vMC(X7,X8)) ),
inference(ennf_transformation,[],[f353]) ).
tff(f380,plain,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vExp,X3: vQuestionnaire,X4: vQuestionnaire,X5: vExp] :
( ( vqcond(X5,X4,X3) != vqcond(X2,X0,X1) )
| ( ( X3 = X1 )
& ( X4 = X0 )
& ( X5 = X2 ) ) ),
inference(ennf_transformation,[],[f42]) ).
tff(f381,plain,
! [X0: vQConf,X1: vQConf] :
( ( vsomeQConf(X1) != vsomeQConf(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f57]) ).
tff(f382,plain,
! [X0: vYN,X1: vYN] :
( ( vB(X1) != vB(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f63]) ).
tff(f383,plain,
! [X0: vQMap,X1: vAnsMap,X2: vQuestionnaire,X3: vAnsMap,X4: vQuestionnaire,X5: vQMap] :
( ( vQC(X3,X0,X4) != vQC(X1,X5,X2) )
| ( ( X4 = X2 )
& ( X0 = X5 )
& ( X3 = X1 ) ) ),
inference(ennf_transformation,[],[f133]) ).
tff(f384,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap] :
( ( vMC(X0,X1) != vMC(X2,X3) )
| ( ( X1 = X3 )
& ( X0 = X2 ) ) ),
inference(ennf_transformation,[],[f18]) ).
tff(f385,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( vreduce(vq1,X5,X2) != vsomeQConf(vQC(X3,X6,X1)) )
| ~ vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vq1,vMC(X4,X0))
| vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
inference(ennf_transformation,[],[f360]) ).
tff(f386,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( vreduce(vq1,X5,X2) != vsomeQConf(vQC(X3,X6,X1)) )
| ~ vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vq1,vMC(X4,X0))
| vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
inference(flattening,[],[f385]) ).
tff(f387,plain,
! [X0: vAval,X1: vAval] :
( ( X0 = X1 )
| ( vevalBinOp(veqop,X0,X1) = vsomeExp(vconstant(vB(vno))) ) ),
inference(ennf_transformation,[],[f245]) ).
tff(f388,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( vsomeQConf(vQC(X3,X6,X1)) != vreduce(vq2,X5,X2) )
| ~ vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vq2,vMC(X4,X0))
| vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
inference(ennf_transformation,[],[f361]) ).
tff(f389,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vQMap,X3: vAnsMap,X4: vATMap,X5: vAnsMap,X6: vQMap] :
( ( vsomeQConf(vQC(X3,X6,X1)) != vreduce(vq2,X5,X2) )
| ~ vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vq2,vMC(X4,X0))
| vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
inference(flattening,[],[f388]) ).
tff(f390,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vQuestionnaire] :
( ~ vptcheck(vMC(X7,X5),X9,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqseq(X3,X9),vMC(X6,X8))
| ( X8 = X2 ) ),
inference(ennf_transformation,[],[f351]) ).
tff(f391,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vQuestionnaire] :
( ~ vptcheck(vMC(X7,X5),X9,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqseq(X3,X9),vMC(X6,X8))
| ( X8 = X2 ) ),
inference(flattening,[],[f390]) ).
tff(f392,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vQuestionnaire] :
( ~ vptcheck(vMC(X7,X5),X9,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqseq(X3,X9),vMC(X6,X8))
| ( X6 = X1 ) ),
inference(ennf_transformation,[],[f350]) ).
tff(f393,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vATMap,X8: vATMap,X9: vQuestionnaire] :
( ~ vptcheck(vMC(X7,X5),X9,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqseq(X3,X9),vMC(X6,X8))
| ( X6 = X1 ) ),
inference(flattening,[],[f392]) ).
tff(f394,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqseq(X1,X7),vMC(X4,X6))
| ? [X8: vATMap,X9: vATMap] : vptcheck(vMC(X5,X3),X7,vMC(X8,X9)) ),
inference(ennf_transformation,[],[f349]) ).
tff(f395,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqseq(X1,X7),vMC(X4,X6))
| ? [X8: vATMap,X9: vATMap] : vptcheck(vMC(X5,X3),X7,vMC(X8,X9)) ),
inference(flattening,[],[f394]) ).
tff(f396,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),vqseq(X1,X5),vMC(X3,X4))
| ? [X6: vATMap,X7: vATMap] : vptcheck(vMC(X2,X0),X1,vMC(X6,X7)) ),
inference(ennf_transformation,[],[f348]) ).
tff(f397,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vQuestionnaire] :
( ~ vptcheck(vMC(X6,X5),X7,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X6,X5))
| vptcheck(vMC(X4,X0),vqseq(X3,X7),vMC(X1,X2)) ),
inference(ennf_transformation,[],[f329]) ).
tff(f398,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vQuestionnaire,X4: vATMap,X5: vATMap,X6: vATMap,X7: vQuestionnaire] :
( ~ vptcheck(vMC(X6,X5),X7,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X6,X5))
| vptcheck(vMC(X4,X0),vqseq(X3,X7),vMC(X1,X2)) ),
inference(flattening,[],[f397]) ).
tff(f399,plain,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vQuestionnaire,X3: vQuestionnaire] :
( ( vqseq(X2,X3) != vqseq(X0,X1) )
| ( ( X1 = X3 )
& ( X0 = X2 ) ) ),
inference(ennf_transformation,[],[f41]) ).
tff(f400,plain,
! [X0: vEntry,X1: vEntry] :
( ( vqsingle(X1) != vqsingle(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f40]) ).
tff(f401,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap] :
( ~ vptcheck(vMC(X0,X1),vqempty,vMC(X2,X3))
| ( X3 = X1 ) ),
inference(ennf_transformation,[],[f333]) ).
tff(f402,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap] :
( ~ vptcheck(vMC(X0,X1),vqempty,vMC(X2,X3))
| ( X2 = X0 ) ),
inference(ennf_transformation,[],[f332]) ).
tff(f403,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ( veqop = X0 )
| ( ? [X18: vYN] : ( vB(X18) = X2 )
& ? [X17: vYN] : ( vB(X17) = X1 )
& ( vorop = X0 ) )
| ( ? [X16: vYN] : ( vB(X16) = X2 )
& ? [X15: vYN] : ( vB(X15) = X1 )
& ( vandop = X0 ) )
| ( ? [X14: vnat] : ( vNum(X14) = X2 )
& ? [X13: vnat] : ( vNum(X13) = X1 )
& ( vltop = X0 ) )
| ( ? [X12: vnat] : ( vNum(X12) = X2 )
& ? [X11: vnat] : ( vNum(X11) = X1 )
& ( vgtop = X0 ) )
| ( ? [X10: vnat] : ( vNum(X10) = X2 )
& ? [X9: vnat] : ( vNum(X9) = X1 )
& ( vdivop = X0 ) )
| ( ? [X8: vnat] : ( vNum(X8) = X2 )
& ? [X7: vnat] : ( vNum(X7) = X1 )
& ( vmulop = X0 ) )
| ( ? [X6: vnat] : ( vNum(X6) = X2 )
& ? [X5: vnat] : ( vNum(X5) = X1 )
& ( vsubop = X0 ) )
| ( ? [X4: vnat] : ( vNum(X4) = X2 )
& ? [X3: vnat] : ( vNum(X3) = X1 )
& ( vaddop = X0 ) )
| ( vevalBinOp(X0,X1,X2) = vnoExp ) ),
inference(ennf_transformation,[],[f364]) ).
tff(f404,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ( veqop = X0 )
| ( ? [X18: vYN] : ( vB(X18) = X2 )
& ? [X17: vYN] : ( vB(X17) = X1 )
& ( vorop = X0 ) )
| ( ? [X16: vYN] : ( vB(X16) = X2 )
& ? [X15: vYN] : ( vB(X15) = X1 )
& ( vandop = X0 ) )
| ( ? [X14: vnat] : ( vNum(X14) = X2 )
& ? [X13: vnat] : ( vNum(X13) = X1 )
& ( vltop = X0 ) )
| ( ? [X12: vnat] : ( vNum(X12) = X2 )
& ? [X11: vnat] : ( vNum(X11) = X1 )
& ( vgtop = X0 ) )
| ( ? [X10: vnat] : ( vNum(X10) = X2 )
& ? [X9: vnat] : ( vNum(X9) = X1 )
& ( vdivop = X0 ) )
| ( ? [X8: vnat] : ( vNum(X8) = X2 )
& ? [X7: vnat] : ( vNum(X7) = X1 )
& ( vmulop = X0 ) )
| ( ? [X6: vnat] : ( vNum(X6) = X2 )
& ? [X5: vnat] : ( vNum(X5) = X1 )
& ( vsubop = X0 ) )
| ( ? [X4: vnat] : ( vNum(X4) = X2 )
& ? [X3: vnat] : ( vNum(X3) = X1 )
& ( vaddop = X0 ) )
| ( vevalBinOp(X0,X1,X2) = vnoExp ) ),
inference(flattening,[],[f403]) ).
tff(f405,plain,
! [X0: vnat,X1: vnat] :
( ( vNum(X0) != vNum(X1) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f64]) ).
tff(f406,plain,
! [X0: vOptExp] :
( ~ visSomeExp(X0)
| ? [X1: vExp] : ( X0 = vsomeExp(X1) ) ),
inference(ennf_transformation,[],[f226]) ).
tff(f407,plain,
! [X0: vExp,X1: vExp] :
( ( vsomeExp(X1) != vsomeExp(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f71]) ).
tff(f408,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ( veqop = X0 )
| ( ( vYesNo = X2 )
& ( vYesNo = X1 )
& ( vorop = X0 ) )
| ( ( vYesNo = X2 )
& ( vYesNo = X1 )
& ( vandop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vltop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vgtop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vdivop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vmulop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vsubop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vaddop = X0 ) )
| ( vcheckBinOp(X0,X1,X2) = vnoAType ) ),
inference(ennf_transformation,[],[f310]) ).
tff(f409,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ( veqop = X0 )
| ( ( vYesNo = X2 )
& ( vYesNo = X1 )
& ( vorop = X0 ) )
| ( ( vYesNo = X2 )
& ( vYesNo = X1 )
& ( vandop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vltop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vgtop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vdivop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vmulop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vsubop = X0 ) )
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vaddop = X0 ) )
| ( vcheckBinOp(X0,X1,X2) = vnoAType ) ),
inference(flattening,[],[f408]) ).
tff(f410,plain,
! [X0: vQID,X1: vAnsMap,X2: vAval,X3: vAval,X4: vQID,X5: vAnsMap] :
( ( vabind(X4,X2,X5) != vabind(X0,X3,X1) )
| ( ( X5 = X1 )
& ( X2 = X3 )
& ( X4 = X0 ) ) ),
inference(ennf_transformation,[],[f111]) ).
tff(f411,plain,
! [X0: vQID,X1: vQID,X2: vAType,X3: vATMap] :
( ( X0 = X1 )
| ( vlookupATMap(X0,vatmbind(X1,X2,X3)) = vlookupATMap(X0,X3) ) ),
inference(ennf_transformation,[],[f282]) ).
tff(f412,plain,
! [X0: vQID,X1: vATMap,X2: vATMap,X3: vAType,X4: vQID,X5: vAType] :
( ( vatmbind(X4,X3,X2) != vatmbind(X0,X5,X1) )
| ( ( X2 = X1 )
& ( X3 = X5 )
& ( X4 = X0 ) ) ),
inference(ennf_transformation,[],[f122]) ).
tff(f413,plain,
! [X0: vQMap,X1: vQID,X2: vAType,X3: vLabel,X4: vQID] :
( ( X1 = X4 )
| ( vlookupQMap(X4,vqmbind(X1,X3,X2,X0)) = vlookupQMap(X4,X0) ) ),
inference(ennf_transformation,[],[f206]) ).
tff(f414,plain,
! [X0: vQMap,X1: vQID,X2: vLabel,X3: vAType,X4: vQID,X5: vAType,X6: vQMap,X7: vLabel] :
( ( vqmbind(X4,X7,X3,X0) != vqmbind(X1,X2,X5,X6) )
| ( ( X0 = X6 )
& ( X3 = X5 )
& ( X7 = X2 )
& ( X4 = X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f415,plain,
! [X0: vAType,X1: vAType] :
( ( vsomeAType(X1) != vsomeAType(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f60]) ).
tff(f416,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
| ( vecheck(X2,X5) = vsomeAType(vYesNo) ) ),
inference(ennf_transformation,[],[f352]) ).
tff(f417,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( vecheck(X1,X6) = vsomeAType(X3) ) ),
inference(ennf_transformation,[],[f338]) ).
tff(f418,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),X6,vMC(X4,X3))
| ~ vptcheck(vMC(X2,X0),X1,vMC(X4,X3))
| ( vsomeAType(vYesNo) != vecheck(X2,X5) )
| vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X4,X3)) ),
inference(ennf_transformation,[],[f330]) ).
tff(f419,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),X6,vMC(X4,X3))
| ~ vptcheck(vMC(X2,X0),X1,vMC(X4,X3))
| ( vsomeAType(vYesNo) != vecheck(X2,X5) )
| vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X4,X3)) ),
inference(flattening,[],[f418]) ).
tff(f420,plain,
! [X0: vATMap,X1: vATMap,X2: vAType,X3: vQID,X4: vExp] :
( ( vecheck(X1,X4) != vsomeAType(X2) )
| ( vnoAType != vlookupATMap(X3,X1) )
| vptcheck(vMC(X1,X0),vqsingle(vvalue(X3,X2,X4)),vMC(vatmbind(X3,X2,X1),X0)) ),
inference(ennf_transformation,[],[f326]) ).
tff(f421,plain,
! [X0: vATMap,X1: vATMap,X2: vAType,X3: vQID,X4: vExp] :
( ( vecheck(X1,X4) != vsomeAType(X2) )
| ( vnoAType != vlookupATMap(X3,X1) )
| vptcheck(vMC(X1,X0),vqsingle(vvalue(X3,X2,X4)),vMC(vatmbind(X3,X2,X1),X0)) ),
inference(flattening,[],[f420]) ).
tff(f422,plain,
! [X0: vATMap,X1: vExp,X2: vUnOpT] :
( visSomeAType(vecheck(X0,X1))
| ( vecheck(X0,vunop(X2,X1)) = vnoAType ) ),
inference(ennf_transformation,[],[f322]) ).
tff(f423,plain,
! [X0: vATMap,X1: vExp,X2: vExp,X3: vBinOpT] :
( ( visSomeAType(vecheck(X0,X2))
& visSomeAType(vecheck(X0,X1)) )
| ( vecheck(X0,vbinop(X1,X3,X2)) = vnoAType ) ),
inference(ennf_transformation,[],[f320]) ).
tff(f424,plain,
! [X0: vExp,X1: vAnsMap,X2: vUnOpT] :
( visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vunop(X2,X0),X1) = vnoExp ) ),
inference(ennf_transformation,[],[f261]) ).
tff(f425,plain,
! [X0: vExp,X1: vAnsMap,X2: vUnOpT] :
( visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vunop(X2,X0),X1) = vnoExp ) ),
inference(flattening,[],[f424]) ).
tff(f426,plain,
! [X0: vExp,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
( visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X2,X3),X1) = vnoExp ) ),
inference(ennf_transformation,[],[f258]) ).
tff(f427,plain,
! [X0: vExp,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
( visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X2,X3),X1) = vnoExp ) ),
inference(flattening,[],[f426]) ).
tff(f428,plain,
! [X0: vExp,X1: vExp,X2: vAnsMap,X3: vBinOpT] :
( visSomeExp(vreduceExp(X1,X2))
| vexpIsValue(X1)
| ~ vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X3,X1),X2) = vnoExp ) ),
inference(ennf_transformation,[],[f256]) ).
tff(f429,plain,
! [X0: vExp,X1: vExp,X2: vAnsMap,X3: vBinOpT] :
( visSomeExp(vreduceExp(X1,X2))
| vexpIsValue(X1)
| ~ vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X3,X1),X2) = vnoExp ) ),
inference(flattening,[],[f428]) ).
tff(f430,plain,
! [X0: vOptExp] :
( visSomeExp(X0)
| ( X0 = vnoExp ) ),
inference(ennf_transformation,[],[f227]) ).
tff(f431,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( vlookupATMap(X5,X1) = vnoAType ) ),
inference(ennf_transformation,[],[f337]) ).
tff(f432,plain,
! [X0: vOptAval] :
( visSomeAval(X0)
| ( X0 = vnoAval ) ),
inference(ennf_transformation,[],[f181]) ).
tff(f433,plain,
! [X0: vOptAval] :
( ~ visSomeAval(X0)
| ? [X1: vAval] : ( X0 = vsomeAval(X1) ) ),
inference(ennf_transformation,[],[f180]) ).
tff(f434,plain,
! [X0: vAval,X1: vAval] :
( ( vsomeAval(X1) != vsomeAval(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f135]) ).
tff(f435,plain,
! [X0: vQID,X1: vAnsMap] :
( visSomeAval(vlookupAnsMap(X0,X1))
| ( vreduceExp(vqvar(X0),X1) = vnoExp ) ),
inference(ennf_transformation,[],[f253]) ).
tff(f436,plain,
! [X0: vQID,X1: vQID,X2: vAval,X3: vAnsMap] :
( ( X0 = X1 )
| ( vlookupAnsMap(X0,vabind(X1,X2,X3)) = vlookupAnsMap(X0,X3) ) ),
inference(ennf_transformation,[],[f195]) ).
tff(f437,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID] :
( ( vsomeAType(X3) != vlookupATMap(X5,X0) )
| ~ vptcheck(vMC(X1,X0),vqsingle(vask(X5)),vMC(X4,X2))
| ( X4 = vatmbind(X5,X3,X1) ) ),
inference(ennf_transformation,[],[f346]) ).
tff(f438,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID] :
( ( vsomeAType(X3) != vlookupATMap(X5,X0) )
| ~ vptcheck(vMC(X1,X0),vqsingle(vask(X5)),vMC(X4,X2))
| ( X4 = vatmbind(X5,X3,X1) ) ),
inference(flattening,[],[f437]) ).
tff(f439,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap,X4: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
| ? [X5: vAType] : ( vlookupATMap(X4,X0) = vsomeAType(X5) ) ),
inference(ennf_transformation,[],[f345]) ).
tff(f440,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap,X4: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
| ( vlookupATMap(X4,X1) = vnoAType ) ),
inference(ennf_transformation,[],[f344]) ).
tff(f441,plain,
! [X0: vQID,X1: vATMap,X2: vAType,X3: vATMap] :
( ( vnoAType != vlookupATMap(X0,X3) )
| ( vlookupATMap(X0,X1) != vsomeAType(X2) )
| vptcheck(vMC(X3,X1),vqsingle(vask(X0)),vMC(vatmbind(X0,X2,X3),X1)) ),
inference(ennf_transformation,[],[f328]) ).
tff(f442,plain,
! [X0: vQID,X1: vATMap,X2: vAType,X3: vATMap] :
( ( vnoAType != vlookupATMap(X0,X3) )
| ( vlookupATMap(X0,X1) != vsomeAType(X2) )
| vptcheck(vMC(X3,X1),vqsingle(vask(X0)),vMC(vatmbind(X0,X2,X3),X1)) ),
inference(flattening,[],[f441]) ).
tff(f443,plain,
! [X0: vstring,X1: vstring] :
( ( vT(X0) != vT(X1) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f65]) ).
tff(f444,plain,
! [X0: vOptQuestion] :
( ~ visSomeQuestion(X0)
| ? [X1: vQID,X2: vLabel,X3: vAType] : ( X0 = vsomeQuestion(X1,X2,X3) ) ),
inference(ennf_transformation,[],[f202]) ).
tff(f445,plain,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQID,X4: vAType,X5: vLabel] :
( ( vsomeQuestion(X3,X5,X2) != vsomeQuestion(X0,X1,X4) )
| ( ( X2 = X4 )
& ( X5 = X1 )
& ( X3 = X0 ) ) ),
inference(ennf_transformation,[],[f117]) ).
tff(f446,plain,
! [X0: vOptQuestion] :
( visSomeQuestion(X0)
| ( X0 = vnoQuestion ) ),
inference(ennf_transformation,[],[f203]) ).
tff(f447,plain,
! [X0: vQID,X1: vQMap,X2: vAnsMap] :
( visSomeQuestion(vlookupQMap(X0,X1))
| ( vreduce(vqsingle(vask(X0)),X2,X1) = vnoQConf ) ),
inference(ennf_transformation,[],[f270]) ).
tff(f448,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
| ( X2 = vatmbind(X6,X3,X0) ) ),
inference(ennf_transformation,[],[f343]) ).
tff(f449,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
| ( X5 = X1 ) ),
inference(ennf_transformation,[],[f342]) ).
tff(f450,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
| ( vlookupATMap(X6,X0) = vnoAType ) ),
inference(ennf_transformation,[],[f341]) ).
tff(f451,plain,
! [X0: vATMap,X1: vATMap,X2: vAType,X3: vLabel,X4: vQID] :
( ( vnoAType != vlookupATMap(X4,X0) )
| vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X4,X3,X2)),vMC(X1,vatmbind(X4,X2,X0))) ),
inference(ennf_transformation,[],[f327]) ).
tff(f452,plain,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQID,X4: vAType,X5: vLabel] :
( ( vdefquestion(X3,X5,X2) != vdefquestion(X0,X1,X4) )
| ( ( X2 = X4 )
& ( X5 = X1 )
& ( X3 = X0 ) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f453,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( X2 = X0 ) ),
inference(ennf_transformation,[],[f340]) ).
tff(f454,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( X4 = vatmbind(X5,X3,X1) ) ),
inference(ennf_transformation,[],[f339]) ).
tff(f455,plain,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( visSomeExp(vreduceExp(X4,X2))
| vexpIsValue(X4)
| ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vnoQConf ) ),
inference(ennf_transformation,[],[f267]) ).
tff(f456,plain,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( visSomeExp(vreduceExp(X4,X2))
| vexpIsValue(X4)
| ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vnoQConf ) ),
inference(flattening,[],[f455]) ).
tff(f457,plain,
! [X0: vQID,X1: vExp,X2: vAType,X3: vQID,X4: vAType,X5: vExp] :
( ( vvalue(X3,X2,X5) != vvalue(X0,X4,X1) )
| ( ( X5 = X1 )
& ( X2 = X4 )
& ( X3 = X0 ) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f458,plain,
! [X0: vOptAType] :
( visSomeAType(X0)
| ( X0 = vnoAType ) ),
inference(ennf_transformation,[],[f185]) ).
tff(f459,plain,
! [X0: vOptAType] :
( ~ visSomeAType(X0)
| ? [X1: vAType] : ( X0 = vsomeAType(X1) ) ),
inference(ennf_transformation,[],[f184]) ).
tff(f460,plain,
! [X0: vExp,X1: vAnsMap,X2: vUnOpT] :
( ~ visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vunop(X2,X0),X1) = vsomeExp(vunop(X2,vgetExp(vreduceExp(X0,X1)))) ) ),
inference(ennf_transformation,[],[f260]) ).
tff(f461,plain,
! [X0: vExp,X1: vAnsMap,X2: vUnOpT] :
( ~ visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vunop(X2,X0),X1) = vsomeExp(vunop(X2,vgetExp(vreduceExp(X0,X1)))) ) ),
inference(flattening,[],[f460]) ).
tff(f462,plain,
! [X0: vUnOpT,X1: vExp,X2: vUnOpT,X3: vExp] :
( ( vunop(X0,X1) != vunop(X2,X3) )
| ( ( X1 = X3 )
& ( X0 = X2 ) ) ),
inference(ennf_transformation,[],[f29]) ).
tff(f463,plain,
! [X0: vExp,X1: vExp,X2: vExp,X3: vExp,X4: vBinOpT,X5: vBinOpT] :
( ( vbinop(X3,X4,X0) != vbinop(X2,X5,X1) )
| ( ( X0 = X1 )
& ( X4 = X5 )
& ( X3 = X2 ) ) ),
inference(ennf_transformation,[],[f28]) ).
tff(f464,plain,
! [X0: vQID,X1: vQID] :
( ( vqvar(X0) != vqvar(X1) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f27]) ).
tff(f465,plain,
! [X0: vExp] :
( vexpIsValue(X0)
| ? [X1: vExp] :
( ( X0 = X1 )
& ! [X2: vAval] : ( X1 != vconstant(X2) ) ) ),
inference(ennf_transformation,[],[f231]) ).
tff(f466,plain,
! [X0: vExp] :
( ~ vexpIsValue(X0)
| ? [X1: vAval] : ( X0 = vconstant(X1) ) ),
inference(ennf_transformation,[],[f230]) ).
tff(f467,plain,
! [X0: vExp] :
( ? [X1: vAval] : ( vconstant(X1) = X0 )
| ~ vexpIsValue(X0) ),
inference(ennf_transformation,[],[f229]) ).
tff(f468,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap,X4: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
| ( X2 = X0 ) ),
inference(ennf_transformation,[],[f347]) ).
tff(f469,plain,
! [X0: vQID,X1: vQID] :
( ( vask(X1) != vask(X0) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f470,plain,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( visSomeExp(vreduceExp(X2,X3))
| ? [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 = X8 )
& ( X1 = X7 )
& ( vconstant(vB(vno)) = X2 ) )
| ? [X5: vQuestionnaire,X6: vQuestionnaire] :
( ( X4 = X6 )
& ( X1 = X5 )
& ( vconstant(vB(vyes)) = X2 ) )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vnoQConf ) ),
inference(ennf_transformation,[],[f277]) ).
tff(f471,plain,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( visSomeExp(vreduceExp(X2,X3))
| ? [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 = X8 )
& ( X1 = X7 )
& ( vconstant(vB(vno)) = X2 ) )
| ? [X5: vQuestionnaire,X6: vQuestionnaire] :
( ( X4 = X6 )
& ( X1 = X5 )
& ( vconstant(vB(vyes)) = X2 ) )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vnoQConf ) ),
inference(flattening,[],[f470]) ).
tff(f472,plain,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vAnsMap,X3: vQMap] :
( visSomeQC(vreduce(X0,X2,X3))
| ? [X4: vQuestionnaire] :
( ( X1 = X4 )
& ( vqempty = X0 ) )
| ( vreduce(vqseq(X0,X1),X2,X3) = vnoQConf ) ),
inference(ennf_transformation,[],[f273]) ).
tff(f473,plain,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vAnsMap,X3: vQMap] :
( visSomeQC(vreduce(X0,X2,X3))
| ? [X4: vQuestionnaire] :
( ( X1 = X4 )
& ( vqempty = X0 ) )
| ( vreduce(vqseq(X0,X1),X2,X3) = vnoQConf ) ),
inference(flattening,[],[f472]) ).
tff(f474,plain,
! [X0: vOptQConf] :
( visSomeQC(X0)
| ( X0 = vnoQConf ) ),
inference(ennf_transformation,[],[f221]) ).
tff(f475,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
| ( X2 = X0 ) ),
inference(ennf_transformation,[],[f336]) ).
tff(f476,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
| ( X5 = vatmbind(X6,X3,X1) ) ),
inference(ennf_transformation,[],[f335]) ).
tff(f477,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vLabel,X5: vATMap,X6: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
| ( vlookupATMap(X6,X1) = vnoAType ) ),
inference(ennf_transformation,[],[f334]) ).
tff(f478,plain,
! [X0: vATMap,X1: vATMap,X2: vAType,X3: vLabel,X4: vQID] :
( ( vnoAType != vlookupATMap(X4,X1) )
| vptcheck(vMC(X1,X0),vqsingle(vquestion(X4,X3,X2)),vMC(vatmbind(X4,X2,X1),X0)) ),
inference(ennf_transformation,[],[f325]) ).
tff(f479,plain,
! [X0: vQID,X1: vLabel,X2: vAType,X3: vQID,X4: vAType,X5: vLabel] :
( ( vquestion(X3,X5,X2) != vquestion(X0,X1,X4) )
| ( ( X2 = X4 )
& ( X5 = X1 )
& ( X3 = X0 ) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f480,plain,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( ~ visSomeExp(vreduceExp(X2,X3))
| ? [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 = X8 )
& ( X1 = X7 )
& ( vconstant(vB(vno)) = X2 ) )
| ? [X5: vQuestionnaire,X6: vQuestionnaire] :
( ( X4 = X6 )
& ( X1 = X5 )
& ( vconstant(vB(vyes)) = X2 ) )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vsomeQConf(vQC(X3,X0,vqcond(vgetExp(vreduceExp(X2,X3)),X1,X4))) ) ),
inference(ennf_transformation,[],[f276]) ).
tff(f481,plain,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( ~ visSomeExp(vreduceExp(X2,X3))
| ? [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 = X8 )
& ( X1 = X7 )
& ( vconstant(vB(vno)) = X2 ) )
| ? [X5: vQuestionnaire,X6: vQuestionnaire] :
( ( X4 = X6 )
& ( X1 = X5 )
& ( vconstant(vB(vyes)) = X2 ) )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vsomeQConf(vQC(X3,X0,vqcond(vgetExp(vreduceExp(X2,X3)),X1,X4))) ) ),
inference(flattening,[],[f480]) ).
tff(f482,plain,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ~ visSomeExp(vreduceExp(X4,X2))
| vexpIsValue(X4)
| ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vsomeQConf(vQC(X2,X0,vqsingle(vvalue(X3,X1,vgetExp(vreduceExp(X4,X2)))))) ) ),
inference(ennf_transformation,[],[f266]) ).
tff(f483,plain,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ~ visSomeExp(vreduceExp(X4,X2))
| vexpIsValue(X4)
| ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vsomeQConf(vQC(X2,X0,vqsingle(vvalue(X3,X1,vgetExp(vreduceExp(X4,X2)))))) ) ),
inference(flattening,[],[f482]) ).
tff(f484,plain,
! [X0: vExp,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
( ~ visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X2,X3),X1) = vsomeExp(vbinop(vgetExp(vreduceExp(X0,X1)),X2,X3)) ) ),
inference(ennf_transformation,[],[f257]) ).
tff(f485,plain,
! [X0: vExp,X1: vAnsMap,X2: vBinOpT,X3: vExp] :
( ~ visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X2,X3),X1) = vsomeExp(vbinop(vgetExp(vreduceExp(X0,X1)),X2,X3)) ) ),
inference(flattening,[],[f484]) ).
tff(f486,plain,
! [X0: vExp,X1: vExp,X2: vAnsMap,X3: vBinOpT] :
( ~ visSomeExp(vreduceExp(X1,X2))
| vexpIsValue(X1)
| ~ vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X3,X1),X2) = vsomeExp(vbinop(X0,X3,vgetExp(vreduceExp(X1,X2)))) ) ),
inference(ennf_transformation,[],[f255]) ).
tff(f487,plain,
! [X0: vExp,X1: vExp,X2: vAnsMap,X3: vBinOpT] :
( ~ visSomeExp(vreduceExp(X1,X2))
| vexpIsValue(X1)
| ~ vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X3,X1),X2) = vsomeExp(vbinop(X0,X3,vgetExp(vreduceExp(X1,X2)))) ) ),
inference(flattening,[],[f486]) ).
tff(f488,plain,
! [X0: vOptQConf] :
( ~ visSomeQC(X0)
| ? [X1: vQConf] : ( X0 = vsomeQConf(X1) ) ),
inference(ennf_transformation,[],[f220]) ).
tff(f528,plain,
( ( vsomeQConf(vQC(sK34,sK37,sK32)) = vreduce(vqcond(vconstant(vB(vno)),vq1,vq2),sK36,sK33) )
& vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vqcond(vconstant(vB(vno)),vq1,vq2),vMC(sK35,sK31))
& ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK37)),sK32,vMC(sK35,sK31)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34,sK35,sK36,sK37]),skolemize(X0,sK31),skolemize(X1,sK32),skolemize(X2,sK33),skolemize(X3,sK34),skolemize(X4,sK35),skolemize(X5,sK36),skolemize(X6,sK37)],[f368]) ).
tff(f529,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
| vptcheck(vMC(X2,X0),X6,vMC(sK38(X0,X2,X6),sK39(X0,X2,X6))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X7,sK38(X0,X2,X6)),skolemize(X8,sK39(X0,X2,X6))],[f378]) ).
tff(f530,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vExp,X6: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
| vptcheck(vMC(X2,X0),X1,vMC(sK40(X0,X1,X2),sK41(X0,X1,X2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X7,sK40(X0,X1,X2)),skolemize(X8,sK41(X0,X1,X2))],[f379]) ).
tff(f531,plain,
! [X0: vQConf] : ( vQC(sK42(X0),sK43(X0),sK44(X0)) = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43,sK44]),skolemize(X1,sK42(X0)),skolemize(X2,sK43(X0)),skolemize(X3,sK44(X0))],[f132]) ).
tff(f532,plain,
! [X0: vMapConf] : ( vMC(sK45(X0),sK46(X0)) = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X1,sK45(X0)),skolemize(X2,sK46(X0))],[f17]) ).
tff(f533,plain,
! [X0: vAnsMap] :
( ( ( vtypeAM(X0) = vatmbind(sK47(X0),vtypeOf(sK48(X0)),vtypeAM(sK49(X0))) )
& ( vabind(sK47(X0),sK48(X0),sK49(X0)) = X0 ) )
| ( ( vtypeAM(X0) = vatmempty )
& ( X0 = vaempty ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47,sK48,sK49]),skolemize(X1,sK47(X0)),skolemize(X2,sK48(X0)),skolemize(X3,sK49(X0))],[f297]) ).
tff(f534,plain,
! [X0: vQMap] :
( ( ( vtypeQM(X0) = vatmbind(sK50(X0),sK52(X0),vtypeQM(sK53(X0))) )
& ( vqmbind(sK50(X0),sK51(X0),sK52(X0),sK53(X0)) = X0 ) )
| ( ( vtypeQM(X0) = vatmempty )
& ( X0 = vqmempty ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50,sK51,sK52,sK53]),skolemize(X1,sK50(X0)),skolemize(X2,sK51(X0)),skolemize(X3,sK52(X0)),skolemize(X4,sK53(X0))],[f300]) ).
tff(f535,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vATMap,X6: vATMap,X7: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqseq(X1,X7),vMC(X4,X6))
| vptcheck(vMC(X5,X3),X7,vMC(sK54(X3,X5,X7),sK55(X3,X5,X7))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55]),skolemize(X8,sK54(X3,X5,X7)),skolemize(X9,sK55(X3,X5,X7))],[f395]) ).
tff(f536,plain,
! [X0: vATMap,X1: vQuestionnaire,X2: vATMap,X3: vATMap,X4: vATMap,X5: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),vqseq(X1,X5),vMC(X3,X4))
| vptcheck(vMC(X2,X0),X1,vMC(sK56(X0,X1,X2),sK57(X0,X1,X2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56,sK57]),skolemize(X6,sK56(X0,X1,X2)),skolemize(X7,sK57(X0,X1,X2))],[f396]) ).
tff(f537,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP6(X0,X1,X2)
| ( ? [X6: vnat] : ( vNum(X6) = X2 )
& ? [X5: vnat] : ( vNum(X5) = X1 )
& ( vsubop = X0 ) ) ),
inference(nnf_transformation,[],[f495]) ).
tff(f538,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP6(X0,X1,X2)
| ( ? [X4: vnat] : ( vNum(X4) = X2 )
& ? [X3: vnat] : ( vNum(X3) = X1 )
& ( vsubop = X0 ) ) ),
inference(rectify,[],[f537]) ).
tff(f539,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP6(X0,X1,X2)
| ( ( vNum(sK59(X2)) = X2 )
& ( vNum(sK58(X1)) = X1 )
& ( vsubop = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58,sK59]),skolemize(X3,sK58(X1)),skolemize(X4,sK59(X2))],[f538]) ).
tff(f540,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP5(X0,X1,X2)
| ( ? [X8: vnat] : ( vNum(X8) = X2 )
& ? [X7: vnat] : ( vNum(X7) = X1 )
& ( vmulop = X0 ) ) ),
inference(nnf_transformation,[],[f494]) ).
tff(f541,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP5(X0,X1,X2)
| ( ? [X4: vnat] : ( vNum(X4) = X2 )
& ? [X3: vnat] : ( vNum(X3) = X1 )
& ( vmulop = X0 ) ) ),
inference(rectify,[],[f540]) ).
tff(f542,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP5(X0,X1,X2)
| ( ( vNum(sK61(X2)) = X2 )
& ( vNum(sK60(X1)) = X1 )
& ( vmulop = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60,sK61]),skolemize(X3,sK60(X1)),skolemize(X4,sK61(X2))],[f541]) ).
tff(f543,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP4(X0,X1,X2)
| ( ? [X10: vnat] : ( vNum(X10) = X2 )
& ? [X9: vnat] : ( vNum(X9) = X1 )
& ( vdivop = X0 ) ) ),
inference(nnf_transformation,[],[f493]) ).
tff(f544,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP4(X0,X1,X2)
| ( ? [X4: vnat] : ( vNum(X4) = X2 )
& ? [X3: vnat] : ( vNum(X3) = X1 )
& ( vdivop = X0 ) ) ),
inference(rectify,[],[f543]) ).
tff(f545,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP4(X0,X1,X2)
| ( ( vNum(sK63(X2)) = X2 )
& ( vNum(sK62(X1)) = X1 )
& ( vdivop = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62,sK63]),skolemize(X3,sK62(X1)),skolemize(X4,sK63(X2))],[f544]) ).
tff(f546,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP3(X0,X1,X2)
| ( ? [X12: vnat] : ( vNum(X12) = X2 )
& ? [X11: vnat] : ( vNum(X11) = X1 )
& ( vgtop = X0 ) ) ),
inference(nnf_transformation,[],[f492]) ).
tff(f547,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP3(X0,X1,X2)
| ( ? [X4: vnat] : ( vNum(X4) = X2 )
& ? [X3: vnat] : ( vNum(X3) = X1 )
& ( vgtop = X0 ) ) ),
inference(rectify,[],[f546]) ).
tff(f548,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP3(X0,X1,X2)
| ( ( vNum(sK65(X2)) = X2 )
& ( vNum(sK64(X1)) = X1 )
& ( vgtop = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64,sK65]),skolemize(X3,sK64(X1)),skolemize(X4,sK65(X2))],[f547]) ).
tff(f549,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP2(X0,X1,X2)
| ( ? [X14: vnat] : ( vNum(X14) = X2 )
& ? [X13: vnat] : ( vNum(X13) = X1 )
& ( vltop = X0 ) ) ),
inference(nnf_transformation,[],[f491]) ).
tff(f550,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP2(X0,X1,X2)
| ( ? [X4: vnat] : ( vNum(X4) = X2 )
& ? [X3: vnat] : ( vNum(X3) = X1 )
& ( vltop = X0 ) ) ),
inference(rectify,[],[f549]) ).
tff(f551,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP2(X0,X1,X2)
| ( ( vNum(sK67(X2)) = X2 )
& ( vNum(sK66(X1)) = X1 )
& ( vltop = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66,sK67]),skolemize(X3,sK66(X1)),skolemize(X4,sK67(X2))],[f550]) ).
tff(f552,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP1(X0,X1,X2)
| ( ? [X16: vYN] : ( vB(X16) = X2 )
& ? [X15: vYN] : ( vB(X15) = X1 )
& ( vandop = X0 ) ) ),
inference(nnf_transformation,[],[f490]) ).
tff(f553,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP1(X0,X1,X2)
| ( ? [X4: vYN] : ( vB(X4) = X2 )
& ? [X3: vYN] : ( vB(X3) = X1 )
& ( vandop = X0 ) ) ),
inference(rectify,[],[f552]) ).
tff(f554,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP1(X0,X1,X2)
| ( ( vB(sK69(X2)) = X2 )
& ( vB(sK68(X1)) = X1 )
& ( vandop = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69]),skolemize(X3,sK68(X1)),skolemize(X4,sK69(X2))],[f553]) ).
tff(f558,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ( veqop = X0 )
| sP0(X0,X1,X2)
| sP1(X0,X1,X2)
| sP2(X0,X1,X2)
| sP3(X0,X1,X2)
| sP4(X0,X1,X2)
| sP5(X0,X1,X2)
| sP6(X0,X1,X2)
| ( ( vNum(sK73(X2)) = X2 )
& ( vNum(sK72(X1)) = X1 )
& ( vaddop = X0 ) )
| ( vevalBinOp(X0,X1,X2) = vnoExp ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72,sK73]),skolemize(X3,sK72(X1)),skolemize(X4,sK73(X2))],[f496]) ).
tff(f559,plain,
! [X0: vOptExp] :
( ~ visSomeExp(X0)
| ( vsomeExp(sK74(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(X1,sK74(X0))],[f406]) ).
tff(f560,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP15(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vsubop ) ) ),
inference(nnf_transformation,[],[f505]) ).
tff(f561,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP14(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vmulop ) ) ),
inference(nnf_transformation,[],[f504]) ).
tff(f562,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP13(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vdivop ) ) ),
inference(nnf_transformation,[],[f503]) ).
tff(f563,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP12(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vgtop ) ) ),
inference(nnf_transformation,[],[f502]) ).
tff(f564,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP11(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vltop ) ) ),
inference(nnf_transformation,[],[f501]) ).
tff(f565,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP10(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vYesNo )
& ( X1 = vYesNo )
& ( X0 = vandop ) ) ),
inference(nnf_transformation,[],[f500]) ).
tff(f566,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP9(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vYesNo )
& ( X1 = vYesNo )
& ( X0 = vorop ) ) ),
inference(nnf_transformation,[],[f499]) ).
tff(f567,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP8(X0,X1,X2)
| ? [X3: vAType,X4: vAType] :
( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = X4 )
& ( X1 = X3 )
& ( X0 = veqop ) ) ),
inference(nnf_transformation,[],[f498]) ).
tff(f568,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP8(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( sK76(X0,X1,X2) = X2 )
& ( sK75(X0,X1,X2) = X1 )
& ( X0 = veqop ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75,sK76]),skolemize(X3,sK75(X0,X1,X2)),skolemize(X4,sK76(X0,X1,X2))],[f567]) ).
tff(f572,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP22(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vsubop = X0 ) ) ),
inference(nnf_transformation,[],[f513]) ).
tff(f573,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP21(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vmulop = X0 ) ) ),
inference(nnf_transformation,[],[f512]) ).
tff(f574,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP20(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vdivop = X0 ) ) ),
inference(nnf_transformation,[],[f511]) ).
tff(f575,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP19(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vgtop = X0 ) ) ),
inference(nnf_transformation,[],[f510]) ).
tff(f576,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP18(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vltop = X0 ) ) ),
inference(nnf_transformation,[],[f509]) ).
tff(f577,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP17(X0,X1,X2)
| ( ( vYesNo = X2 )
& ( vYesNo = X1 )
& ( vandop = X0 ) ) ),
inference(nnf_transformation,[],[f508]) ).
tff(f579,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP24(X0,X1)
| ? [X3: vQID,X4: vAval,X5: vAnsMap,X6: vQID] :
( ( vlookupAnsMap(X0,X1) = vsomeAval(X4) )
& ( X1 = vabind(X3,X4,X5) )
& ( X0 = X6 )
& ( X6 = X3 ) ) ),
inference(nnf_transformation,[],[f516]) ).
tff(f580,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP24(X0,X1)
| ? [X2: vQID,X3: vAval,X4: vAnsMap,X5: vQID] :
( ( vlookupAnsMap(X0,X1) = vsomeAval(X3) )
& ( vabind(X2,X3,X4) = X1 )
& ( X0 = X5 )
& ( X2 = X5 ) ) ),
inference(rectify,[],[f579]) ).
tff(f581,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP24(X0,X1)
| ( ( vlookupAnsMap(X0,X1) = vsomeAval(sK81(X0,X1)) )
& ( vabind(sK80(X0,X1),sK81(X0,X1),sK82(X0,X1)) = X1 )
& ( sK83(X0,X1) = X0 )
& ( sK80(X0,X1) = sK83(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81,sK82,sK83]),skolemize(X2,sK80(X0,X1)),skolemize(X3,sK81(X0,X1)),skolemize(X4,sK82(X0,X1)),skolemize(X5,sK83(X0,X1))],[f580]) ).
tff(f585,plain,
! [X0: vQID,X1: vAnsMap] :
( sP23(X0,X1)
| sP24(X0,X1)
| ( ( vlookupAnsMap(X0,X1) = vnoAval )
& ( X1 = vaempty )
& ( sK88(X0,X1) = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(X2,sK88(X0,X1))],[f517]) ).
tff(f586,plain,
! [X0: vAnsMap] :
( ( vabind(sK89(X0),sK90(X0),sK91(X0)) = X0 )
| ( X0 = vaempty ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89,sK90,sK91]),skolemize(X1,sK89(X0)),skolemize(X2,sK90(X0)),skolemize(X3,sK91(X0))],[f110]) ).
tff(f587,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP26(X0,X1)
| ? [X3: vQID,X4: vAType,X5: vATMap,X6: vQID] :
( ( vlookupATMap(X0,X1) = vsomeAType(X4) )
& ( X1 = vatmbind(X3,X4,X5) )
& ( X0 = X6 )
& ( X6 = X3 ) ) ),
inference(nnf_transformation,[],[f519]) ).
tff(f588,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP26(X0,X1)
| ? [X2: vQID,X3: vAType,X4: vATMap,X5: vQID] :
( ( vlookupATMap(X0,X1) = vsomeAType(X3) )
& ( vatmbind(X2,X3,X4) = X1 )
& ( X0 = X5 )
& ( X2 = X5 ) ) ),
inference(rectify,[],[f587]) ).
tff(f589,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP26(X0,X1)
| ( ( vlookupATMap(X0,X1) = vsomeAType(sK93(X0,X1)) )
& ( vatmbind(sK92(X0,X1),sK93(X0,X1),sK94(X0,X1)) = X1 )
& ( sK95(X0,X1) = X0 )
& ( sK92(X0,X1) = sK95(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92,sK93,sK94,sK95]),skolemize(X2,sK92(X0,X1)),skolemize(X3,sK93(X0,X1)),skolemize(X4,sK94(X0,X1)),skolemize(X5,sK95(X0,X1))],[f588]) ).
tff(f593,plain,
! [X0: vQID,X1: vATMap] :
( sP25(X0,X1)
| sP26(X0,X1)
| ( ( vlookupATMap(X0,X1) = vnoAType )
& ( X1 = vatmempty )
& ( sK100(X0,X1) = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK100]),skolemize(X2,sK100(X0,X1))],[f520]) ).
tff(f594,plain,
! [X0: vATMap] :
( ( vatmbind(sK101(X0),sK102(X0),sK103(X0)) = X0 )
| ( X0 = vatmempty ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK101,sK102,sK103]),skolemize(X1,sK101(X0)),skolemize(X2,sK102(X0)),skolemize(X3,sK103(X0))],[f121]) ).
tff(f595,plain,
! [X0: vAval] :
( ( ( vtypeOf(X0) = vText )
& ( vT(sK106(X0)) = X0 ) )
| ( ( vtypeOf(X0) = vNumber )
& ( vNum(sK105(X0)) = X0 ) )
| ( ( vtypeOf(X0) = vYesNo )
& ( vB(sK104(X0)) = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104,sK105,sK106]),skolemize(X1,sK104(X0)),skolemize(X2,sK105(X0)),skolemize(X3,sK106(X0))],[f189]) ).
tff(f596,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP28(X0,X1)
| ? [X3: vQMap,X4: vQID,X5: vAType,X6: vLabel,X7: vQID] :
( ( vlookupQMap(X0,X1) = vsomeQuestion(X7,X6,X5) )
& ( X1 = vqmbind(X4,X6,X5,X3) )
& ( X0 = X7 )
& ( X7 = X4 ) ) ),
inference(nnf_transformation,[],[f522]) ).
tff(f597,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP28(X0,X1)
| ? [X2: vQMap,X3: vQID,X4: vAType,X5: vLabel,X6: vQID] :
( ( vlookupQMap(X0,X1) = vsomeQuestion(X6,X5,X4) )
& ( vqmbind(X3,X5,X4,X2) = X1 )
& ( X0 = X6 )
& ( X3 = X6 ) ) ),
inference(rectify,[],[f596]) ).
tff(f598,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP28(X0,X1)
| ( ( vlookupQMap(X0,X1) = vsomeQuestion(sK111(X0,X1),sK110(X0,X1),sK109(X0,X1)) )
& ( vqmbind(sK108(X0,X1),sK110(X0,X1),sK109(X0,X1),sK107(X0,X1)) = X1 )
& ( sK111(X0,X1) = X0 )
& ( sK108(X0,X1) = sK111(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK107,sK108,sK109,sK110,sK111]),skolemize(X2,sK107(X0,X1)),skolemize(X3,sK108(X0,X1)),skolemize(X4,sK109(X0,X1)),skolemize(X5,sK110(X0,X1)),skolemize(X6,sK111(X0,X1))],[f597]) ).
tff(f602,plain,
! [X0: vQID,X1: vQMap] :
( sP27(X0,X1)
| sP28(X0,X1)
| ( ( vlookupQMap(X0,X1) = vnoQuestion )
& ( X1 = vqmempty )
& ( sK117(X0,X1) = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK117]),skolemize(X2,sK117(X0,X1))],[f523]) ).
tff(f603,plain,
! [X0: vQMap] :
( ( vqmbind(sK118(X0),sK119(X0),sK120(X0),sK121(X0)) = X0 )
| ( X0 = vqmempty ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK118,sK119,sK120,sK121]),skolemize(X1,sK118(X0)),skolemize(X2,sK119(X0)),skolemize(X3,sK120(X0)),skolemize(X4,sK121(X0))],[f14]) ).
tff(f604,plain,
! [X0: vOptAType] :
( ( vsomeAType(sK122(X0)) = X0 )
| ( X0 = vnoAType ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(X1,sK122(X0))],[f59]) ).
tff(f605,plain,
! [X0: vOptExp] :
( ( vsomeExp(sK123(X0)) = X0 )
| ( X0 = vnoExp ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK123]),skolemize(X1,sK123(X0))],[f70]) ).
tff(f606,plain,
! [X0: vOptAval] :
( ( vsomeAval(sK124(X0)) = X0 )
| ( X0 = vnoAval ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK124]),skolemize(X1,sK124(X0))],[f134]) ).
tff(f607,plain,
! [X0: vOptAval] :
( ~ visSomeAval(X0)
| ( vsomeAval(sK125(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK125]),skolemize(X1,sK125(X0))],[f433]) ).
tff(f608,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vATMap,X4: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
| ( vlookupATMap(X4,X0) = vsomeAType(sK126(X0,X4)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK126]),skolemize(X5,sK126(X0,X4))],[f439]) ).
tff(f609,plain,
! [X0: vAval] :
( ( vT(sK129(X0)) = X0 )
| ( vNum(sK128(X0)) = X0 )
| ( vB(sK127(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK127,sK128,sK129]),skolemize(X1,sK127(X0)),skolemize(X2,sK128(X0)),skolemize(X3,sK129(X0))],[f62]) ).
tff(f610,plain,
! [X0: vOptQuestion] :
( ~ visSomeQuestion(X0)
| ( vsomeQuestion(sK130(X0),sK131(X0),sK132(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK130,sK131,sK132]),skolemize(X1,sK130(X0)),skolemize(X2,sK131(X0)),skolemize(X3,sK132(X0))],[f444]) ).
tff(f611,plain,
! [X0: vOptQuestion] :
( ( vsomeQuestion(sK133(X0),sK134(X0),sK135(X0)) = X0 )
| ( X0 = vnoQuestion ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK133,sK134,sK135]),skolemize(X1,sK133(X0)),skolemize(X2,sK134(X0)),skolemize(X3,sK135(X0))],[f116]) ).
tff(f612,plain,
! [X0: vEntry] :
( ( vask(sK145(X0)) = X0 )
| ( vdefquestion(sK142(X0),sK143(X0),sK144(X0)) = X0 )
| ( vvalue(sK139(X0),sK140(X0),sK141(X0)) = X0 )
| ( vquestion(sK136(X0),sK137(X0),sK138(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK136,sK137,sK138,sK139,sK140,sK141,sK142,sK143,sK144,sK145]),skolemize(X1,sK136(X0)),skolemize(X2,sK137(X0)),skolemize(X3,sK138(X0)),skolemize(X4,sK139(X0)),skolemize(X5,sK140(X0)),skolemize(X6,sK141(X0)),skolemize(X7,sK142(X0)),skolemize(X8,sK143(X0)),skolemize(X9,sK144(X0)),skolemize(X10,sK145(X0))],[f365]) ).
tff(f613,plain,
! [X0: vOptAType] :
( ~ visSomeAType(X0)
| ( vsomeAType(sK146(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK146]),skolemize(X1,sK146(X0))],[f459]) ).
tff(f614,plain,
! [X0: vExp] :
( ( vunop(sK152(X0),sK153(X0)) = X0 )
| ( vbinop(sK149(X0),sK150(X0),sK151(X0)) = X0 )
| ( vqvar(sK148(X0)) = X0 )
| ( vconstant(sK147(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK147,sK148,sK149,sK150,sK151,sK152,sK153]),skolemize(X1,sK147(X0)),skolemize(X2,sK148(X0)),skolemize(X3,sK149(X0)),skolemize(X4,sK150(X0)),skolemize(X5,sK151(X0)),skolemize(X6,sK152(X0)),skolemize(X7,sK153(X0))],[f366]) ).
tff(f615,plain,
! [X0: vExp] :
( vexpIsValue(X0)
| ( ( sK154(X0) = X0 )
& ! [X2: vAval] : ( vconstant(X2) != sK154(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK154]),skolemize(X1,sK154(X0))],[f465]) ).
tff(f616,plain,
! [X0: vExp] :
( ~ vexpIsValue(X0)
| ( vconstant(sK155(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK155]),skolemize(X1,sK155(X0))],[f466]) ).
tff(f617,plain,
! [X0: vExp] :
( ( vconstant(sK156(X0)) = X0 )
| ~ vexpIsValue(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK156]),skolemize(X1,sK156(X0))],[f467]) ).
tff(f621,plain,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( visSomeExp(vreduceExp(X2,X3))
| sP29(X2,X1,X4)
| ( ( sK160(X1,X2,X4) = X4 )
& ( sK159(X1,X2,X4) = X1 )
& ( vconstant(vB(vyes)) = X2 ) )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vnoQConf ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK159,sK160]),skolemize(X5,sK159(X1,X2,X4)),skolemize(X6,sK160(X1,X2,X4))],[f525]) ).
tff(f622,plain,
! [X0: vQuestionnaire,X1: vQuestionnaire,X2: vAnsMap,X3: vQMap] :
( visSomeQC(vreduce(X0,X2,X3))
| ( ( sK161(X0,X1) = X1 )
& ( vqempty = X0 ) )
| ( vreduce(vqseq(X0,X1),X2,X3) = vnoQConf ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK161]),skolemize(X4,sK161(X0,X1))],[f473]) ).
tff(f623,plain,
! [X0: vOptQConf] :
( ( vsomeQConf(sK162(X0)) = X0 )
| ( X0 = vnoQConf ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK162]),skolemize(X1,sK162(X0))],[f56]) ).
tff(f627,plain,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( ~ visSomeExp(vreduceExp(X2,X3))
| sP30(X2,X1,X4)
| ( ( sK166(X1,X2,X4) = X4 )
& ( sK165(X1,X2,X4) = X1 )
& ( vconstant(vB(vyes)) = X2 ) )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vsomeQConf(vQC(X3,X0,vqcond(vgetExp(vreduceExp(X2,X3)),X1,X4))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK165,sK166]),skolemize(X5,sK165(X1,X2,X4)),skolemize(X6,sK166(X1,X2,X4))],[f527]) ).
tff(f628,plain,
! [X0: vOptQConf] :
( ~ visSomeQC(X0)
| ( vsomeQConf(sK167(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK167]),skolemize(X1,sK167(X0))],[f488]) ).
tff(f629,plain,
vsomeQConf(vQC(sK34,sK37,sK32)) = vreduce(vqcond(vconstant(vB(vno)),vq1,vq2),sK36,sK33),
inference(cnf_transformation,[],[f528]) ).
tff(f630,plain,
vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vqcond(vconstant(vB(vno)),vq1,vq2),vMC(sK35,sK31)),
inference(cnf_transformation,[],[f528]) ).
tff(f631,plain,
~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK37)),sK32,vMC(sK35,sK31)),
inference(cnf_transformation,[],[f528]) ).
tff(f632,plain,
! [X0: vAval,X1: vAval] :
( ( vconstant(X1) != vconstant(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f369]) ).
tff(f633,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vQuestionnaire,X8: vQuestionnaire,X6: vATMap,X7: vExp,X4: vATMap,X5: vATMap] :
( ~ vptcheck(vMC(X2,X0),X8,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqcond(X7,X1,X8),vMC(X4,X6))
| ( X3 = X6 ) ),
inference(cnf_transformation,[],[f371]) ).
tff(f634,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vQuestionnaire,X8: vQuestionnaire,X6: vATMap,X7: vExp,X4: vATMap,X5: vATMap] :
( ~ vptcheck(vMC(X2,X0),X8,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqcond(X7,X1,X8),vMC(X4,X6))
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f373]) ).
tff(f635,plain,
! [X2: vATMap,X3: vQuestionnaire,X10: vQuestionnaire,X0: vATMap,X1: vATMap,X8: vATMap,X6: vATMap,X9: vExp,X7: vATMap,X4: vATMap,X5: vATMap] :
( ~ vptcheck(vMC(X4,X0),X10,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqcond(X9,X3,X10),vMC(X6,X8))
| ( X2 = X5 ) ),
inference(cnf_transformation,[],[f375]) ).
tff(f636,plain,
! [X2: vATMap,X3: vQuestionnaire,X10: vQuestionnaire,X0: vATMap,X1: vATMap,X8: vATMap,X6: vATMap,X9: vExp,X7: vATMap,X4: vATMap,X5: vATMap] :
( ~ vptcheck(vMC(X4,X0),X10,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqcond(X9,X3,X10),vMC(X6,X8))
| ( X1 = X7 ) ),
inference(cnf_transformation,[],[f377]) ).
tff(f637,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vQuestionnaire,X6: vQuestionnaire,X4: vATMap,X5: vExp] :
( ~ vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
| vptcheck(vMC(X2,X0),X6,vMC(sK38(X0,X2,X6),sK39(X0,X2,X6))) ),
inference(cnf_transformation,[],[f529]) ).
tff(f638,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vQuestionnaire,X6: vQuestionnaire,X4: vATMap,X5: vExp] :
( ~ vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
| vptcheck(vMC(X2,X0),X1,vMC(sK40(X0,X1,X2),sK41(X0,X1,X2))) ),
inference(cnf_transformation,[],[f530]) ).
tff(f639,plain,
! [X2: vAnsMap,X3: vQMap,X0: vQuestionnaire,X1: vQuestionnaire] : ( vreduce(vqcond(vconstant(vB(vno)),X0,X1),X2,X3) = vsomeQConf(vQC(X2,X3,X1)) ),
inference(cnf_transformation,[],[f275]) ).
tff(f640,plain,
! [X2: vAnsMap,X3: vQMap,X0: vQuestionnaire,X1: vQuestionnaire] : ( vreduce(vqcond(vconstant(vB(vyes)),X0,X1),X2,X3) = vsomeQConf(vQC(X2,X3,X0)) ),
inference(cnf_transformation,[],[f274]) ).
tff(f641,plain,
! [X2: vQuestionnaire,X3: vQuestionnaire,X0: vQuestionnaire,X1: vQuestionnaire,X4: vExp] : ( vqseq(X3,X2) != vqcond(X4,X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tff(f642,plain,
! [X2: vQuestionnaire,X3: vQuestionnaire,X0: vEntry,X1: vExp] : ( vqsingle(X0) != vqcond(X1,X2,X3) ),
inference(cnf_transformation,[],[f49]) ).
tff(f643,plain,
! [X2: vQuestionnaire,X0: vExp,X1: vQuestionnaire] : ( vqempty != vqcond(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
tff(f644,plain,
! [X2: vExp,X3: vQuestionnaire,X0: vQuestionnaire,X1: vQuestionnaire,X4: vQuestionnaire,X5: vExp] :
( ( vqcond(X5,X4,X3) != vqcond(X2,X0,X1) )
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f380]) ).
tff(f645,plain,
! [X2: vExp,X3: vQuestionnaire,X0: vQuestionnaire,X1: vQuestionnaire,X4: vQuestionnaire,X5: vExp] :
( ( vqcond(X5,X4,X3) != vqcond(X2,X0,X1) )
| ( X0 = X4 ) ),
inference(cnf_transformation,[],[f380]) ).
tff(f646,plain,
! [X2: vExp,X3: vQuestionnaire,X0: vQuestionnaire,X1: vQuestionnaire,X4: vQuestionnaire,X5: vExp] :
( ( vqcond(X5,X4,X3) != vqcond(X2,X0,X1) )
| ( X2 = X5 ) ),
inference(cnf_transformation,[],[f380]) ).
tff(f647,plain,
! [X2: vQMap,X0: vQuestionnaire,X1: vAnsMap] : ( vreduce(vqseq(vqempty,X0),X1,X2) = vsomeQConf(vQC(X1,X2,X0)) ),
inference(cnf_transformation,[],[f271]) ).
tff(f648,plain,
! [X0: vQConf,X1: vQConf] :
( ( vsomeQConf(X1) != vsomeQConf(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f381]) ).
tff(f649,plain,
! [X0: vYN,X1: vnat] : ( vB(X0) != vNum(X1) ),
inference(cnf_transformation,[],[f66]) ).
tff(f650,plain,
! [X0: vYN,X1: vYN] :
( ( vB(X1) != vB(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f382]) ).
tff(f651,plain,
! [X2: vQuestionnaire,X3: vAnsMap,X0: vQMap,X1: vAnsMap,X4: vQuestionnaire,X5: vQMap] :
( ( vQC(X3,X0,X4) != vQC(X1,X5,X2) )
| ( X2 = X4 ) ),
inference(cnf_transformation,[],[f383]) ).
tff(f652,plain,
! [X2: vQuestionnaire,X3: vAnsMap,X0: vQMap,X1: vAnsMap,X4: vQuestionnaire,X5: vQMap] :
( ( vQC(X3,X0,X4) != vQC(X1,X5,X2) )
| ( X0 = X5 ) ),
inference(cnf_transformation,[],[f383]) ).
tff(f653,plain,
! [X2: vQuestionnaire,X3: vAnsMap,X0: vQMap,X1: vAnsMap,X4: vQuestionnaire,X5: vQMap] :
( ( vQC(X3,X0,X4) != vQC(X1,X5,X2) )
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f383]) ).
tff(f654,plain,
! [X0: vQConf] : ( vQC(sK42(X0),sK43(X0),sK44(X0)) = X0 ),
inference(cnf_transformation,[],[f531]) ).
tff(f655,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap] :
( ( vMC(X0,X1) != vMC(X2,X3) )
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f384]) ).
tff(f656,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap] :
( ( vMC(X0,X1) != vMC(X2,X3) )
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f384]) ).
tff(f657,plain,
! [X0: vMapConf] : ( vMC(sK45(X0),sK46(X0)) = X0 ),
inference(cnf_transformation,[],[f532]) ).
tff(f658,plain,
! [X2: vQMap,X3: vAnsMap,X0: vATMap,X1: vQuestionnaire,X6: vQMap,X4: vATMap,X5: vAnsMap] :
( ( vreduce(vq1,X5,X2) != vsomeQConf(vQC(X3,X6,X1)) )
| ~ vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vq1,vMC(X4,X0))
| vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
inference(cnf_transformation,[],[f386]) ).
tff(f659,plain,
! [X0: vAval,X1: vAval] :
( ( X0 = X1 )
| ( vevalBinOp(veqop,X0,X1) = vsomeExp(vconstant(vB(vno))) ) ),
inference(cnf_transformation,[],[f387]) ).
tff(f660,plain,
vyes != vno,
inference(cnf_transformation,[],[f13]) ).
tff(f661,plain,
! [X0: vYN] :
( ( vno = X0 )
| ( vyes = X0 ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f662,plain,
! [X2: vQMap,X3: vAnsMap,X0: vATMap,X1: vQuestionnaire,X6: vQMap,X4: vATMap,X5: vAnsMap] :
( ( vsomeQConf(vQC(X3,X6,X1)) != vreduce(vq2,X5,X2) )
| ~ vptcheck(vMC(vtypeAM(X5),vtypeQM(X2)),vq2,vMC(X4,X0))
| vptcheck(vMC(vtypeAM(X3),vtypeQM(X6)),X1,vMC(X4,X0)) ),
inference(cnf_transformation,[],[f389]) ).
tff(f663,plain,
! [X0: vAnsMap] :
( ( vtypeAM(X0) = vatmbind(sK47(X0),vtypeOf(sK48(X0)),vtypeAM(sK49(X0))) )
| ( vatmempty = vtypeAM(X0) ) ),
inference(cnf_transformation,[],[f533]) ).
tff(f664,plain,
! [X0: vAnsMap] :
( ( vabind(sK47(X0),sK48(X0),sK49(X0)) = X0 )
| ( vatmempty = vtypeAM(X0) ) ),
inference(cnf_transformation,[],[f533]) ).
tff(f665,plain,
! [X0: vAnsMap] :
( ( vtypeAM(X0) = vatmbind(sK47(X0),vtypeOf(sK48(X0)),vtypeAM(sK49(X0))) )
| ( vaempty = X0 ) ),
inference(cnf_transformation,[],[f533]) ).
tff(f666,plain,
! [X0: vAnsMap] :
( ( vabind(sK47(X0),sK48(X0),sK49(X0)) = X0 )
| ( vaempty = X0 ) ),
inference(cnf_transformation,[],[f533]) ).
tff(f667,plain,
! [X2: vAnsMap,X0: vQID,X1: vAval] : ( vtypeAM(vabind(X0,X1,X2)) = vatmbind(X0,vtypeOf(X1),vtypeAM(X2)) ),
inference(cnf_transformation,[],[f296]) ).
tff(f668,plain,
vatmempty = vtypeAM(vaempty),
inference(cnf_transformation,[],[f295]) ).
tff(f669,plain,
! [X0: vQMap] :
( ( vtypeQM(X0) = vatmbind(sK50(X0),sK52(X0),vtypeQM(sK53(X0))) )
| ( vatmempty = vtypeQM(X0) ) ),
inference(cnf_transformation,[],[f534]) ).
tff(f670,plain,
! [X0: vQMap] :
( ( vqmbind(sK50(X0),sK51(X0),sK52(X0),sK53(X0)) = X0 )
| ( vatmempty = vtypeQM(X0) ) ),
inference(cnf_transformation,[],[f534]) ).
tff(f671,plain,
! [X0: vQMap] :
( ( vtypeQM(X0) = vatmbind(sK50(X0),sK52(X0),vtypeQM(sK53(X0))) )
| ( vqmempty = X0 ) ),
inference(cnf_transformation,[],[f534]) ).
tff(f672,plain,
! [X0: vQMap] :
( ( vqmbind(sK50(X0),sK51(X0),sK52(X0),sK53(X0)) = X0 )
| ( vqmempty = X0 ) ),
inference(cnf_transformation,[],[f534]) ).
tff(f673,plain,
! [X2: vAType,X3: vQMap,X0: vQID,X1: vLabel] : ( vtypeQM(vqmbind(X0,X1,X2,X3)) = vatmbind(X0,X2,vtypeQM(X3)) ),
inference(cnf_transformation,[],[f299]) ).
tff(f674,plain,
vatmempty = vtypeQM(vqmempty),
inference(cnf_transformation,[],[f298]) ).
tff(f675,plain,
! [X2: vATMap,X3: vQuestionnaire,X0: vATMap,X1: vATMap,X8: vATMap,X6: vATMap,X9: vQuestionnaire,X7: vATMap,X4: vATMap,X5: vATMap] :
( ~ vptcheck(vMC(X7,X5),X9,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqseq(X3,X9),vMC(X6,X8))
| ( X2 = X8 ) ),
inference(cnf_transformation,[],[f391]) ).
tff(f676,plain,
! [X2: vATMap,X3: vQuestionnaire,X0: vATMap,X1: vATMap,X8: vATMap,X6: vATMap,X9: vQuestionnaire,X7: vATMap,X4: vATMap,X5: vATMap] :
( ~ vptcheck(vMC(X7,X5),X9,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X7,X5))
| ~ vptcheck(vMC(X4,X0),vqseq(X3,X9),vMC(X6,X8))
| ( X1 = X6 ) ),
inference(cnf_transformation,[],[f393]) ).
tff(f677,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vQuestionnaire,X6: vATMap,X7: vQuestionnaire,X4: vATMap,X5: vATMap] :
( ~ vptcheck(vMC(X2,X0),X1,vMC(X5,X3))
| ~ vptcheck(vMC(X2,X0),vqseq(X1,X7),vMC(X4,X6))
| vptcheck(vMC(X5,X3),X7,vMC(sK54(X3,X5,X7),sK55(X3,X5,X7))) ),
inference(cnf_transformation,[],[f535]) ).
tff(f678,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vQuestionnaire,X4: vATMap,X5: vQuestionnaire] :
( ~ vptcheck(vMC(X2,X0),vqseq(X1,X5),vMC(X3,X4))
| vptcheck(vMC(X2,X0),X1,vMC(sK56(X0,X1,X2),sK57(X0,X1,X2))) ),
inference(cnf_transformation,[],[f536]) ).
tff(f679,plain,
! [X2: vATMap,X3: vQuestionnaire,X0: vATMap,X1: vATMap,X6: vATMap,X7: vQuestionnaire,X4: vATMap,X5: vATMap] :
( ~ vptcheck(vMC(X6,X5),X7,vMC(X1,X2))
| ~ vptcheck(vMC(X4,X0),X3,vMC(X6,X5))
| vptcheck(vMC(X4,X0),vqseq(X3,X7),vMC(X1,X2)) ),
inference(cnf_transformation,[],[f398]) ).
tff(f680,plain,
! [X2: vQuestionnaire,X0: vEntry,X1: vQuestionnaire] : ( vqsingle(X0) != vqseq(X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
tff(f681,plain,
! [X0: vQuestionnaire,X1: vQuestionnaire] : ( vqempty != vqseq(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tff(f682,plain,
! [X2: vQuestionnaire,X3: vQuestionnaire,X0: vQuestionnaire,X1: vQuestionnaire] :
( ( vqseq(X2,X3) != vqseq(X0,X1) )
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f399]) ).
tff(f683,plain,
! [X2: vQuestionnaire,X3: vQuestionnaire,X0: vQuestionnaire,X1: vQuestionnaire] :
( ( vqseq(X2,X3) != vqseq(X0,X1) )
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f399]) ).
tff(f684,plain,
! [X0: vEntry,X1: vEntry] :
( ( vqsingle(X1) != vqsingle(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f400]) ).
tff(f685,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap] :
( ~ vptcheck(vMC(X0,X1),vqempty,vMC(X2,X3))
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f401]) ).
tff(f686,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap] :
( ~ vptcheck(vMC(X0,X1),vqempty,vMC(X2,X3))
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f402]) ).
tff(f687,plain,
! [X0: vATMap,X1: vATMap] : vptcheck(vMC(X0,X1),vqempty,vMC(X0,X1)),
inference(cnf_transformation,[],[f324]) ).
tff(f688,plain,
! [X0: vEntry] : ( vqempty != vqsingle(X0) ),
inference(cnf_transformation,[],[f44]) ).
tff(f689,plain,
! [X0: vATMap,X1: vnat] : ( vsomeAType(vNumber) = vecheck(X0,vconstant(vNum(X1))) ),
inference(cnf_transformation,[],[f316]) ).
tff(f690,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP6(X0,X1,X2)
| ( vNum(sK59(X2)) = X2 ) ),
inference(cnf_transformation,[],[f539]) ).
tff(f691,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP6(X0,X1,X2)
| ( vNum(sK58(X1)) = X1 ) ),
inference(cnf_transformation,[],[f539]) ).
tff(f692,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP6(X0,X1,X2)
| ( vsubop = X0 ) ),
inference(cnf_transformation,[],[f539]) ).
tff(f693,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP5(X0,X1,X2)
| ( vNum(sK61(X2)) = X2 ) ),
inference(cnf_transformation,[],[f542]) ).
tff(f694,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP5(X0,X1,X2)
| ( vNum(sK60(X1)) = X1 ) ),
inference(cnf_transformation,[],[f542]) ).
tff(f695,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP5(X0,X1,X2)
| ( vmulop = X0 ) ),
inference(cnf_transformation,[],[f542]) ).
tff(f696,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP4(X0,X1,X2)
| ( vNum(sK63(X2)) = X2 ) ),
inference(cnf_transformation,[],[f545]) ).
tff(f697,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP4(X0,X1,X2)
| ( vNum(sK62(X1)) = X1 ) ),
inference(cnf_transformation,[],[f545]) ).
tff(f698,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP4(X0,X1,X2)
| ( vdivop = X0 ) ),
inference(cnf_transformation,[],[f545]) ).
tff(f699,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP3(X0,X1,X2)
| ( vNum(sK65(X2)) = X2 ) ),
inference(cnf_transformation,[],[f548]) ).
tff(f700,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP3(X0,X1,X2)
| ( vNum(sK64(X1)) = X1 ) ),
inference(cnf_transformation,[],[f548]) ).
tff(f701,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP3(X0,X1,X2)
| ( vgtop = X0 ) ),
inference(cnf_transformation,[],[f548]) ).
tff(f702,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP2(X0,X1,X2)
| ( vNum(sK67(X2)) = X2 ) ),
inference(cnf_transformation,[],[f551]) ).
tff(f703,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP2(X0,X1,X2)
| ( vNum(sK66(X1)) = X1 ) ),
inference(cnf_transformation,[],[f551]) ).
tff(f704,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP2(X0,X1,X2)
| ( vltop = X0 ) ),
inference(cnf_transformation,[],[f551]) ).
tff(f705,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP1(X0,X1,X2)
| ( vB(sK69(X2)) = X2 ) ),
inference(cnf_transformation,[],[f554]) ).
tff(f706,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP1(X0,X1,X2)
| ( vB(sK68(X1)) = X1 ) ),
inference(cnf_transformation,[],[f554]) ).
tff(f707,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP1(X0,X1,X2)
| ( vandop = X0 ) ),
inference(cnf_transformation,[],[f554]) ).
tff(f711,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ( veqop = X0 )
| sP0(X0,X1,X2)
| sP1(X0,X1,X2)
| sP2(X0,X1,X2)
| sP3(X0,X1,X2)
| sP4(X0,X1,X2)
| sP5(X0,X1,X2)
| sP6(X0,X1,X2)
| ( vNum(sK73(X2)) = X2 )
| ( vnoExp = vevalBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f558]) ).
tff(f712,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ( veqop = X0 )
| sP0(X0,X1,X2)
| sP1(X0,X1,X2)
| sP2(X0,X1,X2)
| sP3(X0,X1,X2)
| sP4(X0,X1,X2)
| sP5(X0,X1,X2)
| sP6(X0,X1,X2)
| ( vNum(sK72(X1)) = X1 )
| ( vnoExp = vevalBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f558]) ).
tff(f713,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ( veqop = X0 )
| sP0(X0,X1,X2)
| sP1(X0,X1,X2)
| sP2(X0,X1,X2)
| sP3(X0,X1,X2)
| sP4(X0,X1,X2)
| sP5(X0,X1,X2)
| sP6(X0,X1,X2)
| ( vaddop = X0 )
| ( vnoExp = vevalBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f558]) ).
tff(f714,plain,
! [X0: vnat,X1: vnat] :
( ( vNum(X0) != vNum(X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f405]) ).
tff(f715,plain,
! [X0: vOptExp] :
( ~ visSomeExp(X0)
| ( vsomeExp(sK74(X0)) = X0 ) ),
inference(cnf_transformation,[],[f559]) ).
tff(f716,plain,
! [X0: vExp] : visSomeExp(vsomeExp(X0)),
inference(cnf_transformation,[],[f225]) ).
tff(f717,plain,
! [X0: vExp,X1: vExp] :
( ( vsomeExp(X1) != vsomeExp(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f407]) ).
tff(f718,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP15(X0,X1,X2)
| ( vsomeAType(vNumber) = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f560]) ).
tff(f719,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP15(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f560]) ).
tff(f720,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP15(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f560]) ).
tff(f721,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP15(X0,X1,X2)
| ( vsubop = X0 ) ),
inference(cnf_transformation,[],[f560]) ).
tff(f722,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP14(X0,X1,X2)
| ( vsomeAType(vNumber) = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f561]) ).
tff(f723,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP14(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f561]) ).
tff(f724,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP14(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f561]) ).
tff(f725,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP14(X0,X1,X2)
| ( vmulop = X0 ) ),
inference(cnf_transformation,[],[f561]) ).
tff(f726,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP13(X0,X1,X2)
| ( vsomeAType(vNumber) = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f562]) ).
tff(f727,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP13(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f562]) ).
tff(f728,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP13(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f562]) ).
tff(f729,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP13(X0,X1,X2)
| ( vdivop = X0 ) ),
inference(cnf_transformation,[],[f562]) ).
tff(f730,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP12(X0,X1,X2)
| ( vsomeAType(vYesNo) = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f563]) ).
tff(f731,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP12(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f563]) ).
tff(f732,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP12(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f563]) ).
tff(f733,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP12(X0,X1,X2)
| ( vgtop = X0 ) ),
inference(cnf_transformation,[],[f563]) ).
tff(f734,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP11(X0,X1,X2)
| ( vsomeAType(vYesNo) = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f564]) ).
tff(f735,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP11(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f564]) ).
tff(f736,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP11(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f564]) ).
tff(f737,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP11(X0,X1,X2)
| ( vltop = X0 ) ),
inference(cnf_transformation,[],[f564]) ).
tff(f738,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP10(X0,X1,X2)
| ( vsomeAType(vYesNo) = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f565]) ).
tff(f739,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP10(X0,X1,X2)
| ( vYesNo = X2 ) ),
inference(cnf_transformation,[],[f565]) ).
tff(f740,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP10(X0,X1,X2)
| ( vYesNo = X1 ) ),
inference(cnf_transformation,[],[f565]) ).
tff(f741,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP10(X0,X1,X2)
| ( vandop = X0 ) ),
inference(cnf_transformation,[],[f565]) ).
tff(f742,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP9(X0,X1,X2)
| ( vsomeAType(vYesNo) = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f566]) ).
tff(f743,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP9(X0,X1,X2)
| ( vYesNo = X2 ) ),
inference(cnf_transformation,[],[f566]) ).
tff(f744,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP9(X0,X1,X2)
| ( vYesNo = X1 ) ),
inference(cnf_transformation,[],[f566]) ).
tff(f745,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP9(X0,X1,X2)
| ( vorop = X0 ) ),
inference(cnf_transformation,[],[f566]) ).
tff(f746,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP8(X0,X1,X2)
| ( vsomeAType(vYesNo) = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f568]) ).
tff(f747,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP8(X0,X1,X2)
| ( sK76(X0,X1,X2) = X2 ) ),
inference(cnf_transformation,[],[f568]) ).
tff(f748,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP8(X0,X1,X2)
| ( sK75(X0,X1,X2) = X1 ) ),
inference(cnf_transformation,[],[f568]) ).
tff(f749,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP8(X0,X1,X2)
| ( veqop = X0 ) ),
inference(cnf_transformation,[],[f568]) ).
tff(f763,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( sP7(X0,X1,X2)
| sP8(X0,X1,X2)
| sP9(X0,X1,X2)
| sP10(X0,X1,X2)
| sP11(X0,X1,X2)
| sP12(X0,X1,X2)
| sP13(X0,X1,X2)
| sP14(X0,X1,X2)
| sP15(X0,X1,X2)
| ( vsomeAType(vNumber) = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f506]) ).
tff(f764,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( sP7(X0,X1,X2)
| sP8(X0,X1,X2)
| sP9(X0,X1,X2)
| sP10(X0,X1,X2)
| sP11(X0,X1,X2)
| sP12(X0,X1,X2)
| sP13(X0,X1,X2)
| sP14(X0,X1,X2)
| sP15(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f506]) ).
tff(f765,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( sP7(X0,X1,X2)
| sP8(X0,X1,X2)
| sP9(X0,X1,X2)
| sP10(X0,X1,X2)
| sP11(X0,X1,X2)
| sP12(X0,X1,X2)
| sP13(X0,X1,X2)
| sP14(X0,X1,X2)
| sP15(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f506]) ).
tff(f766,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( sP7(X0,X1,X2)
| sP8(X0,X1,X2)
| sP9(X0,X1,X2)
| sP10(X0,X1,X2)
| sP11(X0,X1,X2)
| sP12(X0,X1,X2)
| sP13(X0,X1,X2)
| sP14(X0,X1,X2)
| sP15(X0,X1,X2)
| ( vaddop = X0 ) ),
inference(cnf_transformation,[],[f506]) ).
tff(f767,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP22(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f572]) ).
tff(f768,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP22(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f572]) ).
tff(f769,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP22(X0,X1,X2)
| ( vsubop = X0 ) ),
inference(cnf_transformation,[],[f572]) ).
tff(f770,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP21(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f573]) ).
tff(f771,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP21(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f573]) ).
tff(f772,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP21(X0,X1,X2)
| ( vmulop = X0 ) ),
inference(cnf_transformation,[],[f573]) ).
tff(f773,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP20(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f574]) ).
tff(f774,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP20(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f574]) ).
tff(f775,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP20(X0,X1,X2)
| ( vdivop = X0 ) ),
inference(cnf_transformation,[],[f574]) ).
tff(f776,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP19(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f575]) ).
tff(f777,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP19(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f575]) ).
tff(f778,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP19(X0,X1,X2)
| ( vgtop = X0 ) ),
inference(cnf_transformation,[],[f575]) ).
tff(f779,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP18(X0,X1,X2)
| ( vNumber = X2 ) ),
inference(cnf_transformation,[],[f576]) ).
tff(f780,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP18(X0,X1,X2)
| ( vNumber = X1 ) ),
inference(cnf_transformation,[],[f576]) ).
tff(f781,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP18(X0,X1,X2)
| ( vltop = X0 ) ),
inference(cnf_transformation,[],[f576]) ).
tff(f782,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP17(X0,X1,X2)
| ( vYesNo = X2 ) ),
inference(cnf_transformation,[],[f577]) ).
tff(f783,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP17(X0,X1,X2)
| ( vYesNo = X1 ) ),
inference(cnf_transformation,[],[f577]) ).
tff(f784,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP17(X0,X1,X2)
| ( vandop = X0 ) ),
inference(cnf_transformation,[],[f577]) ).
tff(f788,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ( veqop = X0 )
| sP16(X0,X1,X2)
| sP17(X0,X1,X2)
| sP18(X0,X1,X2)
| sP19(X0,X1,X2)
| sP20(X0,X1,X2)
| sP21(X0,X1,X2)
| sP22(X0,X1,X2)
| ( vNumber = X2 )
| ( vnoAType = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f514]) ).
tff(f789,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ( veqop = X0 )
| sP16(X0,X1,X2)
| sP17(X0,X1,X2)
| sP18(X0,X1,X2)
| sP19(X0,X1,X2)
| sP20(X0,X1,X2)
| sP21(X0,X1,X2)
| sP22(X0,X1,X2)
| ( vNumber = X1 )
| ( vnoAType = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f514]) ).
tff(f790,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ( veqop = X0 )
| sP16(X0,X1,X2)
| sP17(X0,X1,X2)
| sP18(X0,X1,X2)
| sP19(X0,X1,X2)
| sP20(X0,X1,X2)
| sP21(X0,X1,X2)
| sP22(X0,X1,X2)
| ( vaddop = X0 )
| ( vnoAType = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f514]) ).
tff(f791,plain,
! [X0: vAType,X1: vAType] : ( vsomeAType(vYesNo) = vcheckBinOp(veqop,X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
tff(f792,plain,
! [X0: vAval] : ( vevalBinOp(veqop,X0,X0) = vsomeExp(vconstant(vB(vyes))) ),
inference(cnf_transformation,[],[f244]) ).
tff(f793,plain,
veqop != vorop,
inference(cnf_transformation,[],[f103]) ).
tff(f794,plain,
veqop != vandop,
inference(cnf_transformation,[],[f102]) ).
tff(f795,plain,
veqop != vltop,
inference(cnf_transformation,[],[f101]) ).
tff(f796,plain,
veqop != vgtop,
inference(cnf_transformation,[],[f100]) ).
tff(f797,plain,
vdivop != veqop,
inference(cnf_transformation,[],[f95]) ).
tff(f798,plain,
vmulop != veqop,
inference(cnf_transformation,[],[f90]) ).
tff(f799,plain,
vsubop != veqop,
inference(cnf_transformation,[],[f84]) ).
tff(f800,plain,
vaddop != veqop,
inference(cnf_transformation,[],[f77]) ).
tff(f801,plain,
! [X0: vBinOpT] :
( ( vorop = X0 )
| ( vandop = X0 )
| ( vltop = X0 )
| ( vgtop = X0 )
| ( veqop = X0 )
| ( vdivop = X0 )
| ( vmulop = X0 )
| ( vsubop = X0 )
| ( vaddop = X0 ) ),
inference(cnf_transformation,[],[f73]) ).
tff(f802,plain,
! [X2: vAval,X3: vAval,X0: vQID,X1: vAnsMap,X4: vQID,X5: vAnsMap] :
( ( vabind(X4,X2,X5) != vabind(X0,X3,X1) )
| ( X1 = X5 ) ),
inference(cnf_transformation,[],[f410]) ).
tff(f803,plain,
! [X2: vAval,X3: vAval,X0: vQID,X1: vAnsMap,X4: vQID,X5: vAnsMap] :
( ( vabind(X4,X2,X5) != vabind(X0,X3,X1) )
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f410]) ).
tff(f804,plain,
! [X2: vAval,X3: vAval,X0: vQID,X1: vAnsMap,X4: vQID,X5: vAnsMap] :
( ( vabind(X4,X2,X5) != vabind(X0,X3,X1) )
| ( X0 = X4 ) ),
inference(cnf_transformation,[],[f410]) ).
tff(f805,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP24(X0,X1)
| ( vlookupAnsMap(X0,X1) = vsomeAval(sK81(X0,X1)) ) ),
inference(cnf_transformation,[],[f581]) ).
tff(f806,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP24(X0,X1)
| ( vabind(sK80(X0,X1),sK81(X0,X1),sK82(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f581]) ).
tff(f807,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP24(X0,X1)
| ( sK83(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f581]) ).
tff(f808,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP24(X0,X1)
| ( sK80(X0,X1) = sK83(X0,X1) ) ),
inference(cnf_transformation,[],[f581]) ).
tff(f813,plain,
! [X0: vQID,X1: vAnsMap] :
( sP23(X0,X1)
| sP24(X0,X1)
| ( vnoAval = vlookupAnsMap(X0,X1) ) ),
inference(cnf_transformation,[],[f585]) ).
tff(f814,plain,
! [X0: vQID,X1: vAnsMap] :
( sP23(X0,X1)
| sP24(X0,X1)
| ( vaempty = X1 ) ),
inference(cnf_transformation,[],[f585]) ).
tff(f815,plain,
! [X0: vQID,X1: vAnsMap] :
( sP23(X0,X1)
| sP24(X0,X1)
| ( sK88(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f585]) ).
tff(f816,plain,
! [X0: vQID] : ( vnoAval = vlookupAnsMap(X0,vaempty) ),
inference(cnf_transformation,[],[f193]) ).
tff(f817,plain,
! [X2: vAnsMap,X0: vQID,X1: vAval] : ( vaempty != vabind(X0,X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
tff(f818,plain,
! [X0: vAnsMap] :
( ( vabind(sK89(X0),sK90(X0),sK91(X0)) = X0 )
| ( vaempty = X0 ) ),
inference(cnf_transformation,[],[f586]) ).
tff(f819,plain,
! [X2: vAType,X3: vATMap,X0: vQID,X1: vQID] :
( ( X0 = X1 )
| ( vlookupATMap(X0,vatmbind(X1,X2,X3)) = vlookupATMap(X0,X3) ) ),
inference(cnf_transformation,[],[f411]) ).
tff(f820,plain,
! [X2: vATMap,X0: vQID,X1: vAType] : ( vsomeAType(X1) = vlookupATMap(X0,vatmbind(X0,X1,X2)) ),
inference(cnf_transformation,[],[f281]) ).
tff(f821,plain,
! [X2: vATMap,X3: vAType,X0: vQID,X1: vATMap,X4: vQID,X5: vAType] :
( ( vatmbind(X4,X3,X2) != vatmbind(X0,X5,X1) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f412]) ).
tff(f822,plain,
! [X2: vATMap,X3: vAType,X0: vQID,X1: vATMap,X4: vQID,X5: vAType] :
( ( vatmbind(X4,X3,X2) != vatmbind(X0,X5,X1) )
| ( X3 = X5 ) ),
inference(cnf_transformation,[],[f412]) ).
tff(f823,plain,
! [X2: vATMap,X3: vAType,X0: vQID,X1: vATMap,X4: vQID,X5: vAType] :
( ( vatmbind(X4,X3,X2) != vatmbind(X0,X5,X1) )
| ( X0 = X4 ) ),
inference(cnf_transformation,[],[f412]) ).
tff(f824,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP26(X0,X1)
| ( vlookupATMap(X0,X1) = vsomeAType(sK93(X0,X1)) ) ),
inference(cnf_transformation,[],[f589]) ).
tff(f825,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP26(X0,X1)
| ( vatmbind(sK92(X0,X1),sK93(X0,X1),sK94(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f589]) ).
tff(f826,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP26(X0,X1)
| ( sK95(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f589]) ).
tff(f827,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP26(X0,X1)
| ( sK92(X0,X1) = sK95(X0,X1) ) ),
inference(cnf_transformation,[],[f589]) ).
tff(f832,plain,
! [X0: vQID,X1: vATMap] :
( sP25(X0,X1)
| sP26(X0,X1)
| ( vnoAType = vlookupATMap(X0,X1) ) ),
inference(cnf_transformation,[],[f593]) ).
tff(f833,plain,
! [X0: vQID,X1: vATMap] :
( sP25(X0,X1)
| sP26(X0,X1)
| ( vatmempty = X1 ) ),
inference(cnf_transformation,[],[f593]) ).
tff(f834,plain,
! [X0: vQID,X1: vATMap] :
( sP25(X0,X1)
| sP26(X0,X1)
| ( sK100(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f593]) ).
tff(f835,plain,
! [X0: vQID] : ( vnoAType = vlookupATMap(X0,vatmempty) ),
inference(cnf_transformation,[],[f280]) ).
tff(f836,plain,
! [X2: vATMap,X0: vQID,X1: vAType] : ( vatmempty != vatmbind(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
tff(f837,plain,
! [X0: vATMap] :
( ( vatmbind(sK101(X0),sK102(X0),sK103(X0)) = X0 )
| ( vatmempty = X0 ) ),
inference(cnf_transformation,[],[f594]) ).
tff(f839,plain,
! [X0: vAval] :
( ( vT(sK106(X0)) = X0 )
| ( vNumber = vtypeOf(X0) )
| ( vYesNo = vtypeOf(X0) ) ),
inference(cnf_transformation,[],[f595]) ).
tff(f840,plain,
! [X0: vAval] :
( ( vText = vtypeOf(X0) )
| ( vNum(sK105(X0)) = X0 )
| ( vYesNo = vtypeOf(X0) ) ),
inference(cnf_transformation,[],[f595]) ).
tff(f841,plain,
! [X0: vAval] :
( ( vT(sK106(X0)) = X0 )
| ( vNum(sK105(X0)) = X0 )
| ( vYesNo = vtypeOf(X0) ) ),
inference(cnf_transformation,[],[f595]) ).
tff(f842,plain,
! [X0: vAval] :
( ( vText = vtypeOf(X0) )
| ( vNumber = vtypeOf(X0) )
| ( vB(sK104(X0)) = X0 ) ),
inference(cnf_transformation,[],[f595]) ).
tff(f843,plain,
! [X0: vAval] :
( ( vT(sK106(X0)) = X0 )
| ( vNumber = vtypeOf(X0) )
| ( vB(sK104(X0)) = X0 ) ),
inference(cnf_transformation,[],[f595]) ).
tff(f844,plain,
! [X0: vAval] :
( ( vText = vtypeOf(X0) )
| ( vNum(sK105(X0)) = X0 )
| ( vB(sK104(X0)) = X0 ) ),
inference(cnf_transformation,[],[f595]) ).
tff(f845,plain,
! [X0: vAval] :
( ( vT(sK106(X0)) = X0 )
| ( vNum(sK105(X0)) = X0 )
| ( vB(sK104(X0)) = X0 ) ),
inference(cnf_transformation,[],[f595]) ).
tff(f846,plain,
! [X0: vstring] : ( vText = vtypeOf(vT(X0)) ),
inference(cnf_transformation,[],[f188]) ).
tff(f847,plain,
! [X0: vnat] : ( vNumber = vtypeOf(vNum(X0)) ),
inference(cnf_transformation,[],[f187]) ).
tff(f848,plain,
! [X0: vYN] : ( vYesNo = vtypeOf(vB(X0)) ),
inference(cnf_transformation,[],[f186]) ).
tff(f849,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP28(X0,X1)
| ( vlookupQMap(X0,X1) = vsomeQuestion(sK111(X0,X1),sK110(X0,X1),sK109(X0,X1)) ) ),
inference(cnf_transformation,[],[f598]) ).
tff(f850,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP28(X0,X1)
| ( vqmbind(sK108(X0,X1),sK110(X0,X1),sK109(X0,X1),sK107(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f598]) ).
tff(f851,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP28(X0,X1)
| ( sK111(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f598]) ).
tff(f852,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP28(X0,X1)
| ( sK108(X0,X1) = sK111(X0,X1) ) ),
inference(cnf_transformation,[],[f598]) ).
tff(f857,plain,
! [X0: vQID,X1: vQMap] :
( sP27(X0,X1)
| sP28(X0,X1)
| ( vnoQuestion = vlookupQMap(X0,X1) ) ),
inference(cnf_transformation,[],[f602]) ).
tff(f858,plain,
! [X0: vQID,X1: vQMap] :
( sP27(X0,X1)
| sP28(X0,X1)
| ( vqmempty = X1 ) ),
inference(cnf_transformation,[],[f602]) ).
tff(f859,plain,
! [X0: vQID,X1: vQMap] :
( sP27(X0,X1)
| sP28(X0,X1)
| ( sK117(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f602]) ).
tff(f860,plain,
! [X0: vQID] : ( vnoQuestion = vlookupQMap(X0,vqmempty) ),
inference(cnf_transformation,[],[f204]) ).
tff(f861,plain,
! [X2: vAType,X3: vQMap,X0: vQID,X1: vLabel] : ( vqmempty != vqmbind(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f16]) ).
tff(f862,plain,
! [X0: vQMap] :
( ( vqmbind(sK118(X0),sK119(X0),sK120(X0),sK121(X0)) = X0 )
| ( vqmempty = X0 ) ),
inference(cnf_transformation,[],[f603]) ).
tff(f863,plain,
! [X2: vLabel,X3: vAnsMap,X0: vQMap,X1: vAType,X4: vQID] : ( vreduce(vqsingle(vdefquestion(X4,X2,X1)),X3,X0) = vsomeQConf(vQC(X3,vqmbind(X4,X2,X1,X0),vqempty)) ),
inference(cnf_transformation,[],[f268]) ).
tff(f864,plain,
! [X2: vAType,X3: vLabel,X0: vQMap,X1: vQID,X4: vQID] :
( ( X1 = X4 )
| ( vlookupQMap(X4,vqmbind(X1,X3,X2,X0)) = vlookupQMap(X4,X0) ) ),
inference(cnf_transformation,[],[f413]) ).
tff(f865,plain,
! [X2: vAType,X3: vQMap,X0: vQID,X1: vLabel] : ( vsomeQuestion(X0,X1,X2) = vlookupQMap(X0,vqmbind(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f205]) ).
tff(f866,plain,
! [X2: vLabel,X3: vAType,X0: vQMap,X1: vQID,X6: vQMap,X7: vLabel,X4: vQID,X5: vAType] :
( ( vqmbind(X4,X7,X3,X0) != vqmbind(X1,X2,X5,X6) )
| ( X0 = X6 ) ),
inference(cnf_transformation,[],[f414]) ).
tff(f867,plain,
! [X2: vLabel,X3: vAType,X0: vQMap,X1: vQID,X6: vQMap,X7: vLabel,X4: vQID,X5: vAType] :
( ( vqmbind(X4,X7,X3,X0) != vqmbind(X1,X2,X5,X6) )
| ( X3 = X5 ) ),
inference(cnf_transformation,[],[f414]) ).
tff(f868,plain,
! [X2: vLabel,X3: vAType,X0: vQMap,X1: vQID,X6: vQMap,X7: vLabel,X4: vQID,X5: vAType] :
( ( vqmbind(X4,X7,X3,X0) != vqmbind(X1,X2,X5,X6) )
| ( X2 = X7 ) ),
inference(cnf_transformation,[],[f414]) ).
tff(f869,plain,
! [X2: vLabel,X3: vAType,X0: vQMap,X1: vQID,X6: vQMap,X7: vLabel,X4: vQID,X5: vAType] :
( ( vqmbind(X4,X7,X3,X0) != vqmbind(X1,X2,X5,X6) )
| ( X1 = X4 ) ),
inference(cnf_transformation,[],[f414]) ).
tff(f870,plain,
vsomeAType(vYesNo) = vcheckBinOp(vltop,vNumber,vNumber),
inference(cnf_transformation,[],[f306]) ).
tff(f871,plain,
vcheckBinOp(vgtop,vNumber,vNumber) = vsomeAType(vYesNo),
inference(cnf_transformation,[],[f305]) ).
tff(f872,plain,
vsomeAType(vNumber) = vcheckBinOp(vdivop,vNumber,vNumber),
inference(cnf_transformation,[],[f304]) ).
tff(f873,plain,
vsomeAType(vNumber) = vcheckBinOp(vmulop,vNumber,vNumber),
inference(cnf_transformation,[],[f303]) ).
tff(f874,plain,
vsomeAType(vNumber) = vcheckBinOp(vsubop,vNumber,vNumber),
inference(cnf_transformation,[],[f302]) ).
tff(f875,plain,
vcheckBinOp(vaddop,vNumber,vNumber) = vsomeAType(vNumber),
inference(cnf_transformation,[],[f301]) ).
tff(f876,plain,
vYesNo != vNumber,
inference(cnf_transformation,[],[f22]) ).
tff(f877,plain,
! [X0: vAType] : ( vnoAType != vsomeAType(X0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f878,plain,
! [X0: vAType,X1: vAType] :
( ( vsomeAType(X1) != vsomeAType(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f415]) ).
tff(f879,plain,
! [X0: vOptAType] :
( ( vsomeAType(sK122(X0)) = X0 )
| ( vnoAType = X0 ) ),
inference(cnf_transformation,[],[f604]) ).
tff(f880,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vQuestionnaire,X6: vQuestionnaire,X4: vATMap,X5: vExp] :
( ~ vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X3,X4))
| ( vsomeAType(vYesNo) = vecheck(X2,X5) ) ),
inference(cnf_transformation,[],[f416]) ).
tff(f881,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vExp,X4: vATMap,X5: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( vecheck(X1,X6) = vsomeAType(X3) ) ),
inference(cnf_transformation,[],[f417]) ).
tff(f882,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vQuestionnaire,X6: vQuestionnaire,X4: vATMap,X5: vExp] :
( ~ vptcheck(vMC(X2,X0),X6,vMC(X4,X3))
| ~ vptcheck(vMC(X2,X0),X1,vMC(X4,X3))
| ( vsomeAType(vYesNo) != vecheck(X2,X5) )
| vptcheck(vMC(X2,X0),vqcond(X5,X1,X6),vMC(X4,X3)) ),
inference(cnf_transformation,[],[f419]) ).
tff(f883,plain,
! [X2: vAType,X3: vQID,X0: vATMap,X1: vATMap,X4: vExp] :
( ( vecheck(X1,X4) != vsomeAType(X2) )
| ( vnoAType != vlookupATMap(X3,X1) )
| vptcheck(vMC(X1,X0),vqsingle(vvalue(X3,X2,X4)),vMC(vatmbind(X3,X2,X1),X0)) ),
inference(cnf_transformation,[],[f421]) ).
tff(f884,plain,
! [X2: vUnOpT,X0: vATMap,X1: vExp] :
( visSomeAType(vecheck(X0,X1))
| ( vnoAType = vecheck(X0,vunop(X2,X1)) ) ),
inference(cnf_transformation,[],[f422]) ).
tff(f885,plain,
! [X2: vExp,X3: vBinOpT,X0: vATMap,X1: vExp] :
( visSomeAType(vecheck(X0,X2))
| ( vnoAType = vecheck(X0,vbinop(X1,X3,X2)) ) ),
inference(cnf_transformation,[],[f423]) ).
tff(f886,plain,
! [X2: vExp,X3: vBinOpT,X0: vATMap,X1: vExp] :
( visSomeAType(vecheck(X0,X1))
| ( vnoAType = vecheck(X0,vbinop(X1,X3,X2)) ) ),
inference(cnf_transformation,[],[f423]) ).
tff(f887,plain,
! [X0: vATMap,X1: vQID] : ( vecheck(X0,vqvar(X1)) = vlookupATMap(X1,X0) ),
inference(cnf_transformation,[],[f318]) ).
tff(f888,plain,
! [X0: vATMap,X1: vstring] : ( vecheck(X0,vconstant(vT(X1))) = vsomeAType(vText) ),
inference(cnf_transformation,[],[f317]) ).
tff(f889,plain,
! [X0: vATMap,X1: vYN] : ( vsomeAType(vYesNo) = vecheck(X0,vconstant(vB(X1))) ),
inference(cnf_transformation,[],[f315]) ).
tff(f890,plain,
vsubop != vorop,
inference(cnf_transformation,[],[f88]) ).
tff(f891,plain,
vsubop != vandop,
inference(cnf_transformation,[],[f87]) ).
tff(f892,plain,
vsubop != vltop,
inference(cnf_transformation,[],[f86]) ).
tff(f893,plain,
vsubop != vgtop,
inference(cnf_transformation,[],[f85]) ).
tff(f894,plain,
vsubop != vdivop,
inference(cnf_transformation,[],[f83]) ).
tff(f895,plain,
vsubop != vmulop,
inference(cnf_transformation,[],[f82]) ).
tff(f896,plain,
vaddop != vsubop,
inference(cnf_transformation,[],[f74]) ).
tff(f897,plain,
vsomeAType(vYesNo) = vcheckBinOp(vandop,vYesNo,vYesNo),
inference(cnf_transformation,[],[f307]) ).
tff(f898,plain,
vandop != vorop,
inference(cnf_transformation,[],[f109]) ).
tff(f899,plain,
vltop != vandop,
inference(cnf_transformation,[],[f107]) ).
tff(f900,plain,
vgtop != vandop,
inference(cnf_transformation,[],[f105]) ).
tff(f901,plain,
vdivop != vandop,
inference(cnf_transformation,[],[f98]) ).
tff(f902,plain,
vmulop != vandop,
inference(cnf_transformation,[],[f93]) ).
tff(f903,plain,
vaddop != vandop,
inference(cnf_transformation,[],[f80]) ).
tff(f904,plain,
vdivop != vorop,
inference(cnf_transformation,[],[f99]) ).
tff(f905,plain,
vdivop != vltop,
inference(cnf_transformation,[],[f97]) ).
tff(f906,plain,
vdivop != vgtop,
inference(cnf_transformation,[],[f96]) ).
tff(f907,plain,
vmulop != vdivop,
inference(cnf_transformation,[],[f89]) ).
tff(f908,plain,
vaddop != vdivop,
inference(cnf_transformation,[],[f76]) ).
tff(f909,plain,
vmulop != vorop,
inference(cnf_transformation,[],[f94]) ).
tff(f910,plain,
vmulop != vltop,
inference(cnf_transformation,[],[f92]) ).
tff(f911,plain,
vmulop != vgtop,
inference(cnf_transformation,[],[f91]) ).
tff(f912,plain,
vaddop != vmulop,
inference(cnf_transformation,[],[f75]) ).
tff(f913,plain,
! [X2: vUnOpT,X0: vExp,X1: vAnsMap] :
( visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vnoExp = vreduceExp(vunop(X2,X0),X1) ) ),
inference(cnf_transformation,[],[f425]) ).
tff(f914,plain,
! [X2: vBinOpT,X3: vExp,X0: vExp,X1: vAnsMap] :
( visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vnoExp = vreduceExp(vbinop(X0,X2,X3),X1) ) ),
inference(cnf_transformation,[],[f427]) ).
tff(f915,plain,
! [X2: vAnsMap,X3: vBinOpT,X0: vExp,X1: vExp] :
( visSomeExp(vreduceExp(X1,X2))
| vexpIsValue(X1)
| ~ vexpIsValue(X0)
| ( vnoExp = vreduceExp(vbinop(X0,X3,X1),X2) ) ),
inference(cnf_transformation,[],[f429]) ).
tff(f916,plain,
! [X0: vAval,X1: vAnsMap] : ( vnoExp = vreduceExp(vconstant(X0),X1) ),
inference(cnf_transformation,[],[f251]) ).
tff(f917,plain,
! [X0: vOptExp] :
( visSomeExp(X0)
| ( vnoExp = X0 ) ),
inference(cnf_transformation,[],[f430]) ).
tff(f918,plain,
~ visSomeExp(vnoExp),
inference(cnf_transformation,[],[f224]) ).
tff(f919,plain,
! [X0: vExp] : ( vnoExp != vsomeExp(X0) ),
inference(cnf_transformation,[],[f72]) ).
tff(f920,plain,
! [X0: vOptExp] :
( ( vsomeExp(sK123(X0)) = X0 )
| ( vnoExp = X0 ) ),
inference(cnf_transformation,[],[f605]) ).
tff(f921,plain,
vsomeAType(vYesNo) = vcheckBinOp(vorop,vYesNo,vYesNo),
inference(cnf_transformation,[],[f308]) ).
tff(f922,plain,
vltop != vorop,
inference(cnf_transformation,[],[f108]) ).
tff(f923,plain,
vgtop != vorop,
inference(cnf_transformation,[],[f106]) ).
tff(f924,plain,
vaddop != vorop,
inference(cnf_transformation,[],[f81]) ).
tff(f925,plain,
vaddop != vltop,
inference(cnf_transformation,[],[f79]) ).
tff(f926,plain,
vaddop != vgtop,
inference(cnf_transformation,[],[f78]) ).
tff(f927,plain,
vgtop != vltop,
inference(cnf_transformation,[],[f104]) ).
tff(f928,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vExp,X4: vATMap,X5: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( vnoAType = vlookupATMap(X5,X1) ) ),
inference(cnf_transformation,[],[f431]) ).
tff(f929,plain,
! [X0: vOptAval] :
( visSomeAval(X0)
| ( vnoAval = X0 ) ),
inference(cnf_transformation,[],[f432]) ).
tff(f930,plain,
~ visSomeAval(vnoAval),
inference(cnf_transformation,[],[f178]) ).
tff(f931,plain,
! [X0: vAval] : ( vnoAval != vsomeAval(X0) ),
inference(cnf_transformation,[],[f136]) ).
tff(f932,plain,
! [X0: vOptAval] :
( ( vsomeAval(sK124(X0)) = X0 )
| ( vnoAval = X0 ) ),
inference(cnf_transformation,[],[f606]) ).
tff(f933,plain,
! [X2: vAnsMap,X0: vQID,X1: vAval] : ( vsomeAval(X1) = vlookupAnsMap(X0,vabind(X0,X1,X2)) ),
inference(cnf_transformation,[],[f194]) ).
tff(f934,plain,
! [X0: vOptAval] :
( ~ visSomeAval(X0)
| ( vsomeAval(sK125(X0)) = X0 ) ),
inference(cnf_transformation,[],[f607]) ).
tff(f935,plain,
! [X0: vAval] : visSomeAval(vsomeAval(X0)),
inference(cnf_transformation,[],[f179]) ).
tff(f936,plain,
! [X0: vAval,X1: vAval] :
( ( vsomeAval(X1) != vsomeAval(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f434]) ).
tff(f937,plain,
! [X0: vQID,X1: vAnsMap] :
( visSomeAval(vlookupAnsMap(X0,X1))
| ( vnoExp = vreduceExp(vqvar(X0),X1) ) ),
inference(cnf_transformation,[],[f435]) ).
tff(f938,plain,
! [X2: vAval,X3: vAnsMap,X0: vQID,X1: vQID] :
( ( X0 = X1 )
| ( vlookupAnsMap(X0,vabind(X1,X2,X3)) = vlookupAnsMap(X0,X3) ) ),
inference(cnf_transformation,[],[f436]) ).
tff(f939,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X4: vATMap,X5: vQID] :
( ( vsomeAType(X3) != vlookupATMap(X5,X0) )
| ~ vptcheck(vMC(X1,X0),vqsingle(vask(X5)),vMC(X4,X2))
| ( vatmbind(X5,X3,X1) = X4 ) ),
inference(cnf_transformation,[],[f438]) ).
tff(f940,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap,X4: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
| ( vlookupATMap(X4,X0) = vsomeAType(sK126(X0,X4)) ) ),
inference(cnf_transformation,[],[f608]) ).
tff(f941,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap,X4: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
| ( vnoAType = vlookupATMap(X4,X1) ) ),
inference(cnf_transformation,[],[f440]) ).
tff(f942,plain,
! [X2: vAType,X3: vATMap,X0: vQID,X1: vATMap] :
( ( vnoAType != vlookupATMap(X0,X3) )
| ( vlookupATMap(X0,X1) != vsomeAType(X2) )
| vptcheck(vMC(X3,X1),vqsingle(vask(X0)),vMC(vatmbind(X0,X2,X3),X1)) ),
inference(cnf_transformation,[],[f442]) ).
tff(f943,plain,
! [X0: vnat,X1: vstring] : ( vNum(X0) != vT(X1) ),
inference(cnf_transformation,[],[f68]) ).
tff(f944,plain,
! [X0: vYN,X1: vstring] : ( vB(X0) != vT(X1) ),
inference(cnf_transformation,[],[f67]) ).
tff(f945,plain,
! [X0: vstring,X1: vstring] :
( ( vT(X0) != vT(X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f443]) ).
tff(f946,plain,
! [X0: vAval] :
( ( vT(sK129(X0)) = X0 )
| ( vNum(sK128(X0)) = X0 )
| ( vB(sK127(X0)) = X0 ) ),
inference(cnf_transformation,[],[f609]) ).
tff(f947,plain,
vNumber != vText,
inference(cnf_transformation,[],[f24]) ).
tff(f948,plain,
vYesNo != vText,
inference(cnf_transformation,[],[f23]) ).
tff(f949,plain,
! [X0: vAType] :
( ( vText = X0 )
| ( vNumber = X0 )
| ( vYesNo = X0 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f950,plain,
! [X0: vOptQuestion] :
( ~ visSomeQuestion(X0)
| ( vsomeQuestion(sK130(X0),sK131(X0),sK132(X0)) = X0 ) ),
inference(cnf_transformation,[],[f610]) ).
tff(f951,plain,
! [X2: vAType,X0: vQID,X1: vLabel] : visSomeQuestion(vsomeQuestion(X0,X1,X2)),
inference(cnf_transformation,[],[f201]) ).
tff(f952,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] :
( ( vsomeQuestion(X3,X5,X2) != vsomeQuestion(X0,X1,X4) )
| ( X2 = X4 ) ),
inference(cnf_transformation,[],[f445]) ).
tff(f953,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] :
( ( vsomeQuestion(X3,X5,X2) != vsomeQuestion(X0,X1,X4) )
| ( X1 = X5 ) ),
inference(cnf_transformation,[],[f445]) ).
tff(f954,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] :
( ( vsomeQuestion(X3,X5,X2) != vsomeQuestion(X0,X1,X4) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f445]) ).
tff(f955,plain,
! [X0: vOptQuestion] :
( visSomeQuestion(X0)
| ( vnoQuestion = X0 ) ),
inference(cnf_transformation,[],[f446]) ).
tff(f956,plain,
~ visSomeQuestion(vnoQuestion),
inference(cnf_transformation,[],[f200]) ).
tff(f957,plain,
! [X2: vAType,X0: vQID,X1: vLabel] : ( vnoQuestion != vsomeQuestion(X0,X1,X2) ),
inference(cnf_transformation,[],[f118]) ).
tff(f958,plain,
! [X0: vOptQuestion] :
( ( vsomeQuestion(sK133(X0),sK134(X0),sK135(X0)) = X0 )
| ( vnoQuestion = X0 ) ),
inference(cnf_transformation,[],[f611]) ).
tff(f959,plain,
! [X2: vAnsMap,X0: vQID,X1: vQMap] :
( visSomeQuestion(vlookupQMap(X0,X1))
| ( vnoQConf = vreduce(vqsingle(vask(X0)),X2,X1) ) ),
inference(cnf_transformation,[],[f447]) ).
tff(f960,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vQID,X4: vLabel,X5: vATMap] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
| ( vatmbind(X6,X3,X0) = X2 ) ),
inference(cnf_transformation,[],[f448]) ).
tff(f961,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vQID,X4: vLabel,X5: vATMap] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
| ( X1 = X5 ) ),
inference(cnf_transformation,[],[f449]) ).
tff(f962,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vQID,X4: vLabel,X5: vATMap] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
| ( vnoAType = vlookupATMap(X6,X0) ) ),
inference(cnf_transformation,[],[f450]) ).
tff(f963,plain,
! [X2: vAType,X3: vLabel,X0: vATMap,X1: vATMap,X4: vQID] :
( ( vnoAType != vlookupATMap(X4,X0) )
| vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X4,X3,X2)),vMC(X1,vatmbind(X4,X2,X0))) ),
inference(cnf_transformation,[],[f451]) ).
tff(f964,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel] : ( vask(X3) != vdefquestion(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tff(f965,plain,
! [X2: vQID,X3: vAType,X0: vQID,X1: vAType,X4: vExp,X5: vLabel] : ( vvalue(X2,X1,X4) != vdefquestion(X0,X5,X3) ),
inference(cnf_transformation,[],[f9]) ).
tff(f966,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] : ( vquestion(X3,X5,X2) != vdefquestion(X0,X1,X4) ),
inference(cnf_transformation,[],[f7]) ).
tff(f967,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] :
( ( vdefquestion(X3,X5,X2) != vdefquestion(X0,X1,X4) )
| ( X2 = X4 ) ),
inference(cnf_transformation,[],[f452]) ).
tff(f968,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] :
( ( vdefquestion(X3,X5,X2) != vdefquestion(X0,X1,X4) )
| ( X1 = X5 ) ),
inference(cnf_transformation,[],[f452]) ).
tff(f969,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] :
( ( vdefquestion(X3,X5,X2) != vdefquestion(X0,X1,X4) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f452]) ).
tff(f970,plain,
! [X0: vEntry] :
( ( vask(sK145(X0)) = X0 )
| ( vdefquestion(sK142(X0),sK143(X0),sK144(X0)) = X0 )
| ( vvalue(sK139(X0),sK140(X0),sK141(X0)) = X0 )
| ( vquestion(sK136(X0),sK137(X0),sK138(X0)) = X0 ) ),
inference(cnf_transformation,[],[f612]) ).
tff(f971,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vExp,X4: vATMap,X5: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f453]) ).
tff(f972,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vExp,X4: vATMap,X5: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( vatmbind(X5,X3,X1) = X4 ) ),
inference(cnf_transformation,[],[f454]) ).
tff(f973,plain,
! [X2: vAnsMap,X3: vQID,X0: vQMap,X1: vAType,X4: vExp] :
( visSomeExp(vreduceExp(X4,X2))
| vexpIsValue(X4)
| ( vnoQConf = vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) ) ),
inference(cnf_transformation,[],[f456]) ).
tff(f974,plain,
! [X2: vExp,X3: vQID,X0: vQID,X1: vAType] : ( vask(X3) != vvalue(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tff(f975,plain,
! [X2: vQID,X3: vAType,X0: vQID,X1: vAType,X4: vExp,X5: vLabel] : ( vquestion(X2,X5,X1) != vvalue(X0,X3,X4) ),
inference(cnf_transformation,[],[f6]) ).
tff(f976,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vExp,X4: vAType,X5: vExp] :
( ( vvalue(X3,X2,X5) != vvalue(X0,X4,X1) )
| ( X1 = X5 ) ),
inference(cnf_transformation,[],[f457]) ).
tff(f977,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vExp,X4: vAType,X5: vExp] :
( ( vvalue(X3,X2,X5) != vvalue(X0,X4,X1) )
| ( X2 = X4 ) ),
inference(cnf_transformation,[],[f457]) ).
tff(f978,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vExp,X4: vAType,X5: vExp] :
( ( vvalue(X3,X2,X5) != vvalue(X0,X4,X1) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f457]) ).
tff(f979,plain,
! [X0: vOptAType] :
( visSomeAType(X0)
| ( vnoAType = X0 ) ),
inference(cnf_transformation,[],[f458]) ).
tff(f980,plain,
! [X0: vOptAType] :
( ~ visSomeAType(X0)
| ( vsomeAType(sK146(X0)) = X0 ) ),
inference(cnf_transformation,[],[f613]) ).
tff(f981,plain,
! [X0: vAType] : visSomeAType(vsomeAType(X0)),
inference(cnf_transformation,[],[f183]) ).
tff(f982,plain,
~ visSomeAType(vnoAType),
inference(cnf_transformation,[],[f182]) ).
tff(f983,plain,
! [X2: vUnOpT,X0: vExp,X1: vAnsMap] :
( ~ visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vunop(X2,X0),X1) = vsomeExp(vunop(X2,vgetExp(vreduceExp(X0,X1)))) ) ),
inference(cnf_transformation,[],[f461]) ).
tff(f984,plain,
! [X2: vExp,X3: vExp,X0: vExp,X1: vUnOpT,X4: vBinOpT] : ( vbinop(X3,X4,X0) != vunop(X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
tff(f985,plain,
! [X2: vExp,X0: vQID,X1: vUnOpT] : ( vqvar(X0) != vunop(X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
tff(f986,plain,
! [X2: vExp,X0: vAval,X1: vUnOpT] : ( vconstant(X0) != vunop(X1,X2) ),
inference(cnf_transformation,[],[f32]) ).
tff(f987,plain,
! [X2: vUnOpT,X3: vExp,X0: vUnOpT,X1: vExp] :
( ( vunop(X0,X1) != vunop(X2,X3) )
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f462]) ).
tff(f988,plain,
! [X2: vUnOpT,X3: vExp,X0: vUnOpT,X1: vExp] :
( ( vunop(X0,X1) != vunop(X2,X3) )
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f462]) ).
tff(f989,plain,
! [X0: vExp] :
( ( vunop(sK152(X0),sK153(X0)) = X0 )
| ( vbinop(sK149(X0),sK150(X0),sK151(X0)) = X0 )
| ( vqvar(sK148(X0)) = X0 )
| ( vconstant(sK147(X0)) = X0 ) ),
inference(cnf_transformation,[],[f614]) ).
tff(f990,plain,
! [X2: vBinOpT,X3: vExp,X0: vQID,X1: vExp] : ( vqvar(X0) != vbinop(X1,X2,X3) ),
inference(cnf_transformation,[],[f33]) ).
tff(f991,plain,
! [X2: vBinOpT,X3: vExp,X0: vAval,X1: vExp] : ( vconstant(X0) != vbinop(X1,X2,X3) ),
inference(cnf_transformation,[],[f31]) ).
tff(f992,plain,
! [X2: vExp,X3: vExp,X0: vExp,X1: vExp,X4: vBinOpT,X5: vBinOpT] :
( ( vbinop(X3,X4,X0) != vbinop(X2,X5,X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f463]) ).
tff(f993,plain,
! [X2: vExp,X3: vExp,X0: vExp,X1: vExp,X4: vBinOpT,X5: vBinOpT] :
( ( vbinop(X3,X4,X0) != vbinop(X2,X5,X1) )
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f463]) ).
tff(f994,plain,
! [X2: vExp,X3: vExp,X0: vExp,X1: vExp,X4: vBinOpT,X5: vBinOpT] :
( ( vbinop(X3,X4,X0) != vbinop(X2,X5,X1) )
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f463]) ).
tff(f995,plain,
! [X0: vAval,X1: vQID] : ( vconstant(X0) != vqvar(X1) ),
inference(cnf_transformation,[],[f30]) ).
tff(f996,plain,
! [X0: vQID,X1: vQID] :
( ( vqvar(X0) != vqvar(X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f464]) ).
tff(f997,plain,
! [X0: vExp] :
( vexpIsValue(X0)
| ( sK154(X0) = X0 ) ),
inference(cnf_transformation,[],[f615]) ).
tff(f998,plain,
! [X2: vAval,X0: vExp] :
( vexpIsValue(X0)
| ( vconstant(X2) != sK154(X0) ) ),
inference(cnf_transformation,[],[f615]) ).
tff(f999,plain,
! [X0: vExp] :
( ~ vexpIsValue(X0)
| ( vconstant(sK155(X0)) = X0 ) ),
inference(cnf_transformation,[],[f616]) ).
tff(f1000,plain,
! [X0: vExp] :
( ( vconstant(sK156(X0)) = X0 )
| ~ vexpIsValue(X0) ),
inference(cnf_transformation,[],[f617]) ).
tff(f1001,plain,
! [X0: vAval] : vexpIsValue(vconstant(X0)),
inference(cnf_transformation,[],[f228]) ).
tff(f1002,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap,X4: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f468]) ).
tff(f1003,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel] : ( vquestion(X0,X1,X2) != vask(X3) ),
inference(cnf_transformation,[],[f8]) ).
tff(f1004,plain,
! [X0: vQID,X1: vQID] :
( ( vask(X1) != vask(X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f469]) ).
tff(f1008,plain,
! [X2: vExp,X3: vAnsMap,X0: vQMap,X1: vQuestionnaire,X4: vQuestionnaire] :
( visSomeExp(vreduceExp(X2,X3))
| sP29(X2,X1,X4)
| ( sK160(X1,X2,X4) = X4 )
| ( vnoQConf = vreduce(vqcond(X2,X1,X4),X3,X0) ) ),
inference(cnf_transformation,[],[f621]) ).
tff(f1009,plain,
! [X2: vExp,X3: vAnsMap,X0: vQMap,X1: vQuestionnaire,X4: vQuestionnaire] :
( visSomeExp(vreduceExp(X2,X3))
| sP29(X2,X1,X4)
| ( sK159(X1,X2,X4) = X1 )
| ( vnoQConf = vreduce(vqcond(X2,X1,X4),X3,X0) ) ),
inference(cnf_transformation,[],[f621]) ).
tff(f1010,plain,
! [X2: vExp,X3: vAnsMap,X0: vQMap,X1: vQuestionnaire,X4: vQuestionnaire] :
( visSomeExp(vreduceExp(X2,X3))
| sP29(X2,X1,X4)
| ( vconstant(vB(vyes)) = X2 )
| ( vnoQConf = vreduce(vqcond(X2,X1,X4),X3,X0) ) ),
inference(cnf_transformation,[],[f621]) ).
tff(f1011,plain,
! [X2: vAnsMap,X3: vQMap,X0: vQuestionnaire,X1: vQuestionnaire] :
( visSomeQC(vreduce(X0,X2,X3))
| ( sK161(X0,X1) = X1 )
| ( vnoQConf = vreduce(vqseq(X0,X1),X2,X3) ) ),
inference(cnf_transformation,[],[f622]) ).
tff(f1012,plain,
! [X2: vAnsMap,X3: vQMap,X0: vQuestionnaire,X1: vQuestionnaire] :
( visSomeQC(vreduce(X0,X2,X3))
| ( vqempty = X0 )
| ( vnoQConf = vreduce(vqseq(X0,X1),X2,X3) ) ),
inference(cnf_transformation,[],[f622]) ).
tff(f1013,plain,
! [X0: vAnsMap,X1: vQMap] : ( vnoQConf = vreduce(vqempty,X0,X1) ),
inference(cnf_transformation,[],[f263]) ).
tff(f1014,plain,
! [X0: vOptQConf] :
( visSomeQC(X0)
| ( vnoQConf = X0 ) ),
inference(cnf_transformation,[],[f474]) ).
tff(f1015,plain,
~ visSomeQC(vnoQConf),
inference(cnf_transformation,[],[f218]) ).
tff(f1016,plain,
! [X0: vQConf] : ( vnoQConf != vsomeQConf(X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f1017,plain,
! [X0: vOptQConf] :
( ( vsomeQConf(sK162(X0)) = X0 )
| ( vnoQConf = X0 ) ),
inference(cnf_transformation,[],[f623]) ).
tff(f1018,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vQID,X4: vLabel,X5: vATMap] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f475]) ).
tff(f1019,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vQID,X4: vLabel,X5: vATMap] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
| ( vatmbind(X6,X3,X1) = X5 ) ),
inference(cnf_transformation,[],[f476]) ).
tff(f1020,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vQID,X4: vLabel,X5: vATMap] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
| ( vnoAType = vlookupATMap(X6,X1) ) ),
inference(cnf_transformation,[],[f477]) ).
tff(f1021,plain,
! [X2: vAType,X3: vLabel,X0: vATMap,X1: vATMap,X4: vQID] :
( ( vnoAType != vlookupATMap(X4,X1) )
| vptcheck(vMC(X1,X0),vqsingle(vquestion(X4,X3,X2)),vMC(vatmbind(X4,X2,X1),X0)) ),
inference(cnf_transformation,[],[f478]) ).
tff(f1022,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] :
( ( vquestion(X3,X5,X2) != vquestion(X0,X1,X4) )
| ( X2 = X4 ) ),
inference(cnf_transformation,[],[f479]) ).
tff(f1023,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] :
( ( vquestion(X3,X5,X2) != vquestion(X0,X1,X4) )
| ( X1 = X5 ) ),
inference(cnf_transformation,[],[f479]) ).
tff(f1024,plain,
! [X2: vAType,X3: vQID,X0: vQID,X1: vLabel,X4: vAType,X5: vLabel] :
( ( vquestion(X3,X5,X2) != vquestion(X0,X1,X4) )
| ( X0 = X3 ) ),
inference(cnf_transformation,[],[f479]) ).
tff(f1028,plain,
! [X2: vExp,X3: vAnsMap,X0: vQMap,X1: vQuestionnaire,X4: vQuestionnaire] :
( ~ visSomeExp(vreduceExp(X2,X3))
| sP30(X2,X1,X4)
| ( sK166(X1,X2,X4) = X4 )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vsomeQConf(vQC(X3,X0,vqcond(vgetExp(vreduceExp(X2,X3)),X1,X4))) ) ),
inference(cnf_transformation,[],[f627]) ).
tff(f1029,plain,
! [X2: vExp,X3: vAnsMap,X0: vQMap,X1: vQuestionnaire,X4: vQuestionnaire] :
( ~ visSomeExp(vreduceExp(X2,X3))
| sP30(X2,X1,X4)
| ( sK165(X1,X2,X4) = X1 )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vsomeQConf(vQC(X3,X0,vqcond(vgetExp(vreduceExp(X2,X3)),X1,X4))) ) ),
inference(cnf_transformation,[],[f627]) ).
tff(f1030,plain,
! [X2: vExp,X3: vAnsMap,X0: vQMap,X1: vQuestionnaire,X4: vQuestionnaire] :
( ~ visSomeExp(vreduceExp(X2,X3))
| sP30(X2,X1,X4)
| ( vconstant(vB(vyes)) = X2 )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vsomeQConf(vQC(X3,X0,vqcond(vgetExp(vreduceExp(X2,X3)),X1,X4))) ) ),
inference(cnf_transformation,[],[f627]) ).
tff(f1031,plain,
! [X2: vAnsMap,X3: vQID,X0: vQMap,X1: vAType,X4: vExp] :
( ~ visSomeExp(vreduceExp(X4,X2))
| vexpIsValue(X4)
| ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vsomeQConf(vQC(X2,X0,vqsingle(vvalue(X3,X1,vgetExp(vreduceExp(X4,X2)))))) ) ),
inference(cnf_transformation,[],[f483]) ).
tff(f1032,plain,
! [X2: vBinOpT,X3: vExp,X0: vExp,X1: vAnsMap] :
( ~ visSomeExp(vreduceExp(X0,X1))
| vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X2,X3),X1) = vsomeExp(vbinop(vgetExp(vreduceExp(X0,X1)),X2,X3)) ) ),
inference(cnf_transformation,[],[f485]) ).
tff(f1033,plain,
! [X2: vAnsMap,X3: vBinOpT,X0: vExp,X1: vExp] :
( ~ visSomeExp(vreduceExp(X1,X2))
| vexpIsValue(X1)
| ~ vexpIsValue(X0)
| ( vreduceExp(vbinop(X0,X3,X1),X2) = vsomeExp(vbinop(X0,X3,vgetExp(vreduceExp(X1,X2)))) ) ),
inference(cnf_transformation,[],[f487]) ).
tff(f1034,plain,
! [X0: vExp] : ( vgetExp(vsomeExp(X0)) = X0 ),
inference(cnf_transformation,[],[f143]) ).
tff(f1035,plain,
! [X0: vOptQConf] :
( ~ visSomeQC(X0)
| ( vsomeQConf(sK167(X0)) = X0 ) ),
inference(cnf_transformation,[],[f628]) ).
tff(f1036,plain,
! [X0: vQConf] : visSomeQC(vsomeQConf(X0)),
inference(cnf_transformation,[],[f219]) ).
tff(f1037,plain,
! [X2: vAType,X3: vATMap,X0: vQID,X1: vQID] :
( ( X0 = X1 )
| ( vecheck(vatmbind(X1,X2,X3),vqvar(X0)) = vecheck(X3,vqvar(X0)) ) ),
inference(definition_unfolding,[],[f819,f887,f887]) ).
tff(f1038,plain,
! [X2: vATMap,X0: vQID,X1: vAType] : ( vsomeAType(X1) = vecheck(vatmbind(X0,X1,X2),vqvar(X0)) ),
inference(definition_unfolding,[],[f820,f887]) ).
tff(f1039,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP26(X0,X1)
| ( vsomeAType(sK93(X0,X1)) = vecheck(X1,vqvar(X0)) ) ),
inference(definition_unfolding,[],[f824,f887]) ).
tff(f1041,plain,
! [X0: vQID,X1: vATMap] :
( sP25(X0,X1)
| sP26(X0,X1)
| ( vnoAType = vecheck(X1,vqvar(X0)) ) ),
inference(definition_unfolding,[],[f832,f887]) ).
tff(f1042,plain,
! [X0: vQID] : ( vnoAType = vecheck(vatmempty,vqvar(X0)) ),
inference(definition_unfolding,[],[f835,f887]) ).
tff(f1043,plain,
! [X2: vAType,X3: vQID,X0: vATMap,X1: vATMap,X4: vExp] :
( ( vecheck(X1,X4) != vsomeAType(X2) )
| ( vnoAType != vecheck(X1,vqvar(X3)) )
| vptcheck(vMC(X1,X0),vqsingle(vvalue(X3,X2,X4)),vMC(vatmbind(X3,X2,X1),X0)) ),
inference(definition_unfolding,[],[f883,f887]) ).
tff(f1044,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vExp,X4: vATMap,X5: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( vnoAType = vecheck(X1,vqvar(X5)) ) ),
inference(definition_unfolding,[],[f928,f887]) ).
tff(f1045,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X4: vATMap,X5: vQID] :
( ( vsomeAType(X3) != vecheck(X0,vqvar(X5)) )
| ~ vptcheck(vMC(X1,X0),vqsingle(vask(X5)),vMC(X4,X2))
| ( vatmbind(X5,X3,X1) = X4 ) ),
inference(definition_unfolding,[],[f939,f887]) ).
tff(f1046,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap,X4: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
| ( vsomeAType(sK126(X0,X4)) = vecheck(X0,vqvar(X4)) ) ),
inference(definition_unfolding,[],[f940,f887]) ).
tff(f1047,plain,
! [X2: vATMap,X3: vATMap,X0: vATMap,X1: vATMap,X4: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vask(X4)),vMC(X3,X2))
| ( vnoAType = vecheck(X1,vqvar(X4)) ) ),
inference(definition_unfolding,[],[f941,f887]) ).
tff(f1048,plain,
! [X2: vAType,X3: vATMap,X0: vQID,X1: vATMap] :
( ( vnoAType != vecheck(X3,vqvar(X0)) )
| ( vsomeAType(X2) != vecheck(X1,vqvar(X0)) )
| vptcheck(vMC(X3,X1),vqsingle(vask(X0)),vMC(vatmbind(X0,X2,X3),X1)) ),
inference(definition_unfolding,[],[f942,f887,f887]) ).
tff(f1049,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vQID,X4: vLabel,X5: vATMap] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X6,X4,X3)),vMC(X5,X2))
| ( vnoAType = vecheck(X0,vqvar(X6)) ) ),
inference(definition_unfolding,[],[f962,f887]) ).
tff(f1050,plain,
! [X2: vAType,X3: vLabel,X0: vATMap,X1: vATMap,X4: vQID] :
( ( vnoAType != vecheck(X0,vqvar(X4)) )
| vptcheck(vMC(X1,X0),vqsingle(vdefquestion(X4,X3,X2)),vMC(X1,vatmbind(X4,X2,X0))) ),
inference(definition_unfolding,[],[f963,f887]) ).
tff(f1051,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vQID,X4: vLabel,X5: vATMap] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vquestion(X6,X4,X3)),vMC(X5,X2))
| ( vnoAType = vecheck(X1,vqvar(X6)) ) ),
inference(definition_unfolding,[],[f1020,f887]) ).
tff(f1052,plain,
! [X2: vAType,X3: vLabel,X0: vATMap,X1: vATMap,X4: vQID] :
( ( vnoAType != vecheck(X1,vqvar(X4)) )
| vptcheck(vMC(X1,X0),vqsingle(vquestion(X4,X3,X2)),vMC(vatmbind(X4,X2,X1),X0)) ),
inference(definition_unfolding,[],[f1021,f887]) ).
tcf(c_49,negated_conjecture,
~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK37)),sK32,vMC(sK35,sK31)),
inference(cnf_transformation,[],[f631]) ).
tcf(c_50,negated_conjecture,
vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vqcond(vconstant(vB(vno)),vq1,vq2),vMC(sK35,sK31)),
inference(cnf_transformation,[],[f630]) ).
tcf(c_51,negated_conjecture,
vreduce(vqcond(vconstant(vB(vno)),vq1,vq2),sK36,sK33) = vsomeQConf(vQC(sK34,sK37,sK32)),
inference(cnf_transformation,[],[f629]) ).
tcf(c_52,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( X0_vAval = X1_vAval )
| ( vconstant(X0_vAval) != vconstant(X1_vAval) ) ),
inference(cnf_transformation,[],[f632]) ).
tcf(c_53,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X3_vATMap = X5_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f633]) ).
tcf(c_54,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X2_vATMap = X4_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f634]) ).
tcf(c_55,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap,X6_vATMap: vATMap,X7_vATMap: vATMap] :
( ( X5_vATMap = X7_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X6_vATMap,X7_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f635]) ).
tcf(c_56,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap,X6_vATMap: vATMap,X7_vATMap: vATMap] :
( ( X4_vATMap = X6_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X6_vATMap,X7_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f636]) ).
tcf(c_57,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(sK38(X1_vATMap,X0_vATMap,X1_vQuestionnaire),sK39(X1_vATMap,X0_vATMap,X1_vQuestionnaire)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f637]) ).
tcf(c_58,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(sK40(X1_vATMap,X0_vQuestionnaire,X0_vATMap),sK41(X1_vATMap,X0_vQuestionnaire,X0_vATMap)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f638]) ).
tcf(c_59,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] : vreduce(vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)),
inference(cnf_transformation,[],[f639]) ).
tcf(c_60,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] : vreduce(vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)),
inference(cnf_transformation,[],[f640]) ).
tcf(c_61,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] : vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) != vqseq(X2_vQuestionnaire,X3_vQuestionnaire),
inference(cnf_transformation,[],[f641]) ).
tcf(c_62,plain,
! [X0_vEntry: vEntry,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire] : vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) != vqsingle(X0_vEntry),
inference(cnf_transformation,[],[f642]) ).
tcf(c_63,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire] : vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) != vqempty,
inference(cnf_transformation,[],[f643]) ).
tcf(c_64,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X0_vExp = X1_vExp )
| ( vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) != vqcond(X1_vExp,X2_vQuestionnaire,X3_vQuestionnaire) ) ),
inference(cnf_transformation,[],[f646]) ).
tcf(c_65,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = X2_vQuestionnaire )
| ( vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) != vqcond(X1_vExp,X2_vQuestionnaire,X3_vQuestionnaire) ) ),
inference(cnf_transformation,[],[f645]) ).
tcf(c_66,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X1_vQuestionnaire = X3_vQuestionnaire )
| ( vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) != vqcond(X1_vExp,X2_vQuestionnaire,X3_vQuestionnaire) ) ),
inference(cnf_transformation,[],[f644]) ).
tcf(c_67,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : vreduce(vqseq(vqempty,X0_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)),
inference(cnf_transformation,[],[f647]) ).
tcf(c_68,plain,
! [X0_vQConf: vQConf,X1_vQConf: vQConf] :
( ( X0_vQConf = X1_vQConf )
| ( vsomeQConf(X0_vQConf) != vsomeQConf(X1_vQConf) ) ),
inference(cnf_transformation,[],[f648]) ).
tcf(c_69,plain,
! [X0_vYN: vYN,X0_vnat: vnat] : vNum(X0_vnat) != vB(X0_vYN),
inference(cnf_transformation,[],[f649]) ).
tcf(c_70,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X0_vYN = X1_vYN )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(cnf_transformation,[],[f650]) ).
tcf(c_71,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( ( X0_vAnsMap = X1_vAnsMap )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != vQC(X1_vAnsMap,X1_vQMap,X1_vQuestionnaire) ) ),
inference(cnf_transformation,[],[f653]) ).
tcf(c_72,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( ( X0_vQMap = X1_vQMap )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != vQC(X1_vAnsMap,X1_vQMap,X1_vQuestionnaire) ) ),
inference(cnf_transformation,[],[f652]) ).
tcf(c_73,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( ( X0_vQuestionnaire = X1_vQuestionnaire )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != vQC(X1_vAnsMap,X1_vQMap,X1_vQuestionnaire) ) ),
inference(cnf_transformation,[],[f651]) ).
tcf(c_74,plain,
! [X0_vQConf: vQConf] : vQC(sK42(X0_vQConf),sK43(X0_vQConf),sK44(X0_vQConf)) = X0_vQConf,
inference(cnf_transformation,[],[f654]) ).
tcf(c_75,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ( vMC(X0_vATMap,X1_vATMap) != vMC(X2_vATMap,X3_vATMap) ) ),
inference(cnf_transformation,[],[f656]) ).
tcf(c_76,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ( vMC(X0_vATMap,X1_vATMap) != vMC(X2_vATMap,X3_vATMap) ) ),
inference(cnf_transformation,[],[f655]) ).
tcf(c_77,plain,
! [X0_vMapConf: vMapConf] : vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)) = X0_vMapConf,
inference(cnf_transformation,[],[f657]) ).
tcf(c_78,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(cnf_transformation,[],[f658]) ).
tcf(c_79,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( X0_vAval = X1_vAval )
| ( vevalBinOp(veqop,X0_vAval,X1_vAval) = vsomeExp(vconstant(vB(vno))) ) ),
inference(cnf_transformation,[],[f659]) ).
tcf(c_80,plain,
vyes != vno,
inference(cnf_transformation,[],[f660]) ).
tcf(c_81,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vno )
| ( X0_vYN = vyes ) ),
inference(cnf_transformation,[],[f661]) ).
tcf(c_82,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(cnf_transformation,[],[f662]) ).
tcf(c_83,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(cnf_transformation,[],[f666]) ).
tcf(c_84,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(sK47(X0_vAnsMap),vtypeOf(sK48(X0_vAnsMap)),vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(cnf_transformation,[],[f665]) ).
tcf(c_85,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(cnf_transformation,[],[f664]) ).
tcf(c_86,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK47(X0_vAnsMap),vtypeOf(sK48(X0_vAnsMap)),vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(cnf_transformation,[],[f663]) ).
tcf(c_87,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vatmbind(X0_vQID,vtypeOf(X0_vAval),vtypeAM(X0_vAnsMap)) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),
inference(cnf_transformation,[],[f667]) ).
tcf(c_88,plain,
vtypeAM(vaempty) = vatmempty,
inference(cnf_transformation,[],[f668]) ).
tcf(c_89,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap),sK53(X0_vQMap)) = X0_vQMap ) ),
inference(cnf_transformation,[],[f672]) ).
tcf(c_90,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(cnf_transformation,[],[f671]) ).
tcf(c_91,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap),sK53(X0_vQMap)) = X0_vQMap ) ),
inference(cnf_transformation,[],[f670]) ).
tcf(c_92,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(cnf_transformation,[],[f669]) ).
tcf(c_93,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),
inference(cnf_transformation,[],[f673]) ).
tcf(c_94,plain,
vtypeQM(vqmempty) = vatmempty,
inference(cnf_transformation,[],[f674]) ).
tcf(c_95,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap,X6_vATMap: vATMap,X7_vATMap: vATMap] :
( ( X3_vATMap = X7_vATMap )
| ~ vptcheck(vMC(X4_vATMap,X5_vATMap),X1_vQuestionnaire,vMC(X6_vATMap,X7_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f675]) ).
tcf(c_96,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap,X6_vATMap: vATMap,X7_vATMap: vATMap] :
( ( X2_vATMap = X6_vATMap )
| ~ vptcheck(vMC(X4_vATMap,X5_vATMap),X1_vQuestionnaire,vMC(X6_vATMap,X7_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f676]) ).
tcf(c_97,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( vptcheck(vMC(X4_vATMap,X5_vATMap),X1_vQuestionnaire,vMC(sK54(X5_vATMap,X4_vATMap,X1_vQuestionnaire),sK55(X5_vATMap,X4_vATMap,X1_vQuestionnaire)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f677]) ).
tcf(c_98,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(sK56(X1_vATMap,X0_vQuestionnaire,X0_vATMap),sK57(X1_vATMap,X0_vQuestionnaire,X0_vATMap)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f678]) ).
tcf(c_99,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( vptcheck(vMC(X4_vATMap,X5_vATMap),vqseq(X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X4_vATMap,X5_vATMap),X1_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f679]) ).
tcf(c_100,plain,
! [X0_vEntry: vEntry,X0_vQuestionnaire: vQuestionnaire,X1_vQuestionnaire: vQuestionnaire] : vqseq(X0_vQuestionnaire,X1_vQuestionnaire) != vqsingle(X0_vEntry),
inference(cnf_transformation,[],[f680]) ).
tcf(c_101,plain,
! [X0_vQuestionnaire: vQuestionnaire,X1_vQuestionnaire: vQuestionnaire] : vqseq(X0_vQuestionnaire,X1_vQuestionnaire) != vqempty,
inference(cnf_transformation,[],[f681]) ).
tcf(c_102,plain,
! [X0_vQuestionnaire: vQuestionnaire,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = X2_vQuestionnaire )
| ( vqseq(X0_vQuestionnaire,X1_vQuestionnaire) != vqseq(X2_vQuestionnaire,X3_vQuestionnaire) ) ),
inference(cnf_transformation,[],[f683]) ).
tcf(c_103,plain,
! [X0_vQuestionnaire: vQuestionnaire,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X1_vQuestionnaire = X3_vQuestionnaire )
| ( vqseq(X0_vQuestionnaire,X1_vQuestionnaire) != vqseq(X2_vQuestionnaire,X3_vQuestionnaire) ) ),
inference(cnf_transformation,[],[f682]) ).
tcf(c_104,plain,
! [X0_vEntry: vEntry,X1_vEntry: vEntry] :
( ( X0_vEntry = X1_vEntry )
| ( vqsingle(X0_vEntry) != vqsingle(X1_vEntry) ) ),
inference(cnf_transformation,[],[f684]) ).
tcf(c_105,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqempty,vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f685]) ).
tcf(c_106,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqempty,vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f686]) ).
tcf(c_107,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] : vptcheck(vMC(X0_vATMap,X1_vATMap),vqempty,vMC(X0_vATMap,X1_vATMap)),
inference(cnf_transformation,[],[f687]) ).
tcf(c_108,plain,
! [X0_vEntry: vEntry] : vqsingle(X0_vEntry) != vqempty,
inference(cnf_transformation,[],[f688]) ).
tcf(c_109,plain,
! [X0_vATMap: vATMap,X0_vnat: vnat] : vecheck(X0_vATMap,vconstant(vNum(X0_vnat))) = vsomeAType(vNumber),
inference(cnf_transformation,[],[f689]) ).
tcf(c_110,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( X0_vBinOpT = vsubop )
| ~ sP6(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f692]) ).
tcf(c_111,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK58(X0_vAval)) = X0_vAval )
| ~ sP6(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f691]) ).
tcf(c_112,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK59(X1_vAval)) = X1_vAval )
| ~ sP6(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f690]) ).
tcf(c_113,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( X0_vBinOpT = vmulop )
| ~ sP5(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f695]) ).
tcf(c_114,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK60(X0_vAval)) = X0_vAval )
| ~ sP5(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f694]) ).
tcf(c_115,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK61(X1_vAval)) = X1_vAval )
| ~ sP5(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f693]) ).
tcf(c_116,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( X0_vBinOpT = vdivop )
| ~ sP4(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f698]) ).
tcf(c_117,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK62(X0_vAval)) = X0_vAval )
| ~ sP4(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f697]) ).
tcf(c_118,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK63(X1_vAval)) = X1_vAval )
| ~ sP4(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f696]) ).
tcf(c_119,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( X0_vBinOpT = vgtop )
| ~ sP3(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f701]) ).
tcf(c_120,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK64(X0_vAval)) = X0_vAval )
| ~ sP3(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f700]) ).
tcf(c_121,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK65(X1_vAval)) = X1_vAval )
| ~ sP3(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f699]) ).
tcf(c_122,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( X0_vBinOpT = vltop )
| ~ sP2(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f704]) ).
tcf(c_123,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK66(X0_vAval)) = X0_vAval )
| ~ sP2(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f703]) ).
tcf(c_124,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vNum(sK67(X1_vAval)) = X1_vAval )
| ~ sP2(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f702]) ).
tcf(c_125,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( X0_vBinOpT = vandop )
| ~ sP1(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f707]) ).
tcf(c_126,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vB(sK68(X0_vAval)) = X0_vAval )
| ~ sP1(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f706]) ).
tcf(c_127,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vB(sK69(X1_vAval)) = X1_vAval )
| ~ sP1(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f705]) ).
tcf(c_131,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP6(X0_vBinOpT,X0_vAval,X1_vAval)
| sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(cnf_transformation,[],[f713]) ).
tcf(c_132,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP6(X0_vBinOpT,X0_vAval,X1_vAval)
| sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(cnf_transformation,[],[f712]) ).
tcf(c_133,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP6(X0_vBinOpT,X1_vAval,X0_vAval)
| sP5(X0_vBinOpT,X1_vAval,X0_vAval)
| sP4(X0_vBinOpT,X1_vAval,X0_vAval)
| sP3(X0_vBinOpT,X1_vAval,X0_vAval)
| sP2(X0_vBinOpT,X1_vAval,X0_vAval)
| sP1(X0_vBinOpT,X1_vAval,X0_vAval)
| sP0(X0_vBinOpT,X1_vAval,X0_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK73(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X1_vAval,X0_vAval) = vnoExp ) ),
inference(cnf_transformation,[],[f711]) ).
tcf(c_134,plain,
! [X0_vnat: vnat,X1_vnat: vnat] :
( ( X0_vnat = X1_vnat )
| ( vNum(X0_vnat) != vNum(X1_vnat) ) ),
inference(cnf_transformation,[],[f714]) ).
tcf(c_135,plain,
! [X0_vOptExp: vOptExp] :
( ( vsomeExp(sK74(X0_vOptExp)) = X0_vOptExp )
| ~ visSomeExp(X0_vOptExp) ),
inference(cnf_transformation,[],[f715]) ).
tcf(c_136,plain,
! [X0_vExp: vExp] : visSomeExp(vsomeExp(X0_vExp)),
inference(cnf_transformation,[],[f716]) ).
tcf(c_137,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( X0_vExp = X1_vExp )
| ( vsomeExp(X0_vExp) != vsomeExp(X1_vExp) ) ),
inference(cnf_transformation,[],[f717]) ).
tcf(c_138,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vsubop )
| ~ sP15(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f721]) ).
tcf(c_139,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP15(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f720]) ).
tcf(c_140,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP15(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f719]) ).
tcf(c_141,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) )
| ~ sP15(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f718]) ).
tcf(c_142,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vmulop )
| ~ sP14(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f725]) ).
tcf(c_143,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP14(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f724]) ).
tcf(c_144,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP14(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f723]) ).
tcf(c_145,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) )
| ~ sP14(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f722]) ).
tcf(c_146,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vdivop )
| ~ sP13(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f729]) ).
tcf(c_147,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP13(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f728]) ).
tcf(c_148,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP13(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f727]) ).
tcf(c_149,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) )
| ~ sP13(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f726]) ).
tcf(c_150,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vgtop )
| ~ sP12(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f733]) ).
tcf(c_151,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP12(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f732]) ).
tcf(c_152,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP12(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f731]) ).
tcf(c_153,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) )
| ~ sP12(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f730]) ).
tcf(c_154,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vltop )
| ~ sP11(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f737]) ).
tcf(c_155,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP11(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f736]) ).
tcf(c_156,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP11(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f735]) ).
tcf(c_157,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) )
| ~ sP11(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f734]) ).
tcf(c_158,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vandop )
| ~ sP10(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f741]) ).
tcf(c_159,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ~ sP10(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f740]) ).
tcf(c_160,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ~ sP10(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f739]) ).
tcf(c_161,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) )
| ~ sP10(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f738]) ).
tcf(c_162,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vorop )
| ~ sP9(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f745]) ).
tcf(c_163,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ~ sP9(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f744]) ).
tcf(c_164,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ~ sP9(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f743]) ).
tcf(c_165,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) )
| ~ sP9(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f742]) ).
tcf(c_166,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = veqop )
| ~ sP8(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f749]) ).
tcf(c_167,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( sK75(X0_vBinOpT,X0_vAType,X1_vAType) = X0_vAType )
| ~ sP8(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f748]) ).
tcf(c_168,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( sK76(X0_vBinOpT,X0_vAType,X1_vAType) = X1_vAType )
| ~ sP8(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f747]) ).
tcf(c_169,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) )
| ~ sP8(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f746]) ).
tcf(c_183,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP15(X0_vBinOpT,X0_vAType,X1_vAType)
| sP14(X0_vBinOpT,X0_vAType,X1_vAType)
| sP13(X0_vBinOpT,X0_vAType,X1_vAType)
| sP12(X0_vBinOpT,X0_vAType,X1_vAType)
| sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vaddop ) ),
inference(cnf_transformation,[],[f766]) ).
tcf(c_184,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP15(X0_vBinOpT,X0_vAType,X1_vAType)
| sP14(X0_vBinOpT,X0_vAType,X1_vAType)
| sP13(X0_vBinOpT,X0_vAType,X1_vAType)
| sP12(X0_vBinOpT,X0_vAType,X1_vAType)
| sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vNumber ) ),
inference(cnf_transformation,[],[f765]) ).
tcf(c_185,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP15(X0_vBinOpT,X1_vAType,X0_vAType)
| sP14(X0_vBinOpT,X1_vAType,X0_vAType)
| sP13(X0_vBinOpT,X1_vAType,X0_vAType)
| sP12(X0_vBinOpT,X1_vAType,X0_vAType)
| sP11(X0_vBinOpT,X1_vAType,X0_vAType)
| sP10(X0_vBinOpT,X1_vAType,X0_vAType)
| sP9(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vNumber ) ),
inference(cnf_transformation,[],[f764]) ).
tcf(c_186,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP15(X0_vBinOpT,X0_vAType,X1_vAType)
| sP14(X0_vBinOpT,X0_vAType,X1_vAType)
| sP13(X0_vBinOpT,X0_vAType,X1_vAType)
| sP12(X0_vBinOpT,X0_vAType,X1_vAType)
| sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) ) ),
inference(cnf_transformation,[],[f763]) ).
tcf(c_187,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vsubop )
| ~ sP22(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f769]) ).
tcf(c_188,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP22(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f768]) ).
tcf(c_189,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP22(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f767]) ).
tcf(c_190,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vmulop )
| ~ sP21(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f772]) ).
tcf(c_191,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP21(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f771]) ).
tcf(c_192,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP21(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f770]) ).
tcf(c_193,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vdivop )
| ~ sP20(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f775]) ).
tcf(c_194,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP20(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f774]) ).
tcf(c_195,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP20(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f773]) ).
tcf(c_196,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vgtop )
| ~ sP19(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f778]) ).
tcf(c_197,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP19(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f777]) ).
tcf(c_198,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP19(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f776]) ).
tcf(c_199,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vltop )
| ~ sP18(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f781]) ).
tcf(c_200,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ~ sP18(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f780]) ).
tcf(c_201,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ~ sP18(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f779]) ).
tcf(c_202,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vandop )
| ~ sP17(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f784]) ).
tcf(c_203,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ~ sP17(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f783]) ).
tcf(c_204,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ~ sP17(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f782]) ).
tcf(c_208,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X1_vAType)
| sP21(X0_vBinOpT,X0_vAType,X1_vAType)
| sP20(X0_vBinOpT,X0_vAType,X1_vAType)
| sP19(X0_vBinOpT,X0_vAType,X1_vAType)
| sP18(X0_vBinOpT,X0_vAType,X1_vAType)
| sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(cnf_transformation,[],[f790]) ).
tcf(c_209,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X1_vAType)
| sP21(X0_vBinOpT,X0_vAType,X1_vAType)
| sP20(X0_vBinOpT,X0_vAType,X1_vAType)
| sP19(X0_vBinOpT,X0_vAType,X1_vAType)
| sP18(X0_vBinOpT,X0_vAType,X1_vAType)
| sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(cnf_transformation,[],[f789]) ).
tcf(c_210,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X1_vAType)
| sP21(X0_vBinOpT,X0_vAType,X1_vAType)
| sP20(X0_vBinOpT,X0_vAType,X1_vAType)
| sP19(X0_vBinOpT,X0_vAType,X1_vAType)
| sP18(X0_vBinOpT,X0_vAType,X1_vAType)
| sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(cnf_transformation,[],[f788]) ).
tcf(c_211,plain,
! [X0_vAType: vAType,X1_vAType: vAType] : vcheckBinOp(veqop,X0_vAType,X1_vAType) = vsomeAType(vYesNo),
inference(cnf_transformation,[],[f791]) ).
tcf(c_212,plain,
! [X0_vAval: vAval] : vevalBinOp(veqop,X0_vAval,X0_vAval) = vsomeExp(vconstant(vB(vyes))),
inference(cnf_transformation,[],[f792]) ).
tcf(c_213,plain,
vorop != veqop,
inference(cnf_transformation,[],[f793]) ).
tcf(c_214,plain,
vandop != veqop,
inference(cnf_transformation,[],[f794]) ).
tcf(c_215,plain,
veqop != vltop,
inference(cnf_transformation,[],[f795]) ).
tcf(c_216,plain,
veqop != vgtop,
inference(cnf_transformation,[],[f796]) ).
tcf(c_217,plain,
vdivop != veqop,
inference(cnf_transformation,[],[f797]) ).
tcf(c_218,plain,
vmulop != veqop,
inference(cnf_transformation,[],[f798]) ).
tcf(c_219,plain,
vsubop != veqop,
inference(cnf_transformation,[],[f799]) ).
tcf(c_220,plain,
veqop != vaddop,
inference(cnf_transformation,[],[f800]) ).
tcf(c_221,plain,
! [X0_vBinOpT: vBinOpT] :
( ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop ) ),
inference(cnf_transformation,[],[f801]) ).
tcf(c_222,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vAnsMap: vAnsMap,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != vabind(X1_vQID,X1_vAval,X1_vAnsMap) ) ),
inference(cnf_transformation,[],[f804]) ).
tcf(c_223,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vAnsMap: vAnsMap,X1_vQID: vQID] :
( ( X0_vAval = X1_vAval )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != vabind(X1_vQID,X1_vAval,X1_vAnsMap) ) ),
inference(cnf_transformation,[],[f803]) ).
tcf(c_224,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vAnsMap: vAnsMap,X1_vQID: vQID] :
( ( X0_vAnsMap = X1_vAnsMap )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != vabind(X1_vQID,X1_vAval,X1_vAnsMap) ) ),
inference(cnf_transformation,[],[f802]) ).
tcf(c_225,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) )
| ~ sP24(X0_vQID,X0_vAnsMap) ),
inference(cnf_transformation,[],[f808]) ).
tcf(c_226,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID )
| ~ sP24(X0_vQID,X0_vAnsMap) ),
inference(cnf_transformation,[],[f807]) ).
tcf(c_227,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap )
| ~ sP24(X0_vQID,X0_vAnsMap) ),
inference(cnf_transformation,[],[f806]) ).
tcf(c_228,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ~ sP24(X0_vQID,X0_vAnsMap) ),
inference(cnf_transformation,[],[f805]) ).
tcf(c_233,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP24(X0_vQID,X0_vAnsMap)
| sP23(X0_vQID,X0_vAnsMap)
| ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID ) ),
inference(cnf_transformation,[],[f815]) ).
tcf(c_234,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP24(X0_vQID,X0_vAnsMap)
| sP23(X0_vQID,X0_vAnsMap)
| ( X0_vAnsMap = vaempty ) ),
inference(cnf_transformation,[],[f814]) ).
tcf(c_235,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP24(X0_vQID,X0_vAnsMap)
| sP23(X0_vQID,X0_vAnsMap)
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval ) ),
inference(cnf_transformation,[],[f813]) ).
tcf(c_236,plain,
! [X0_vQID: vQID] : vlookupAnsMap(X0_vQID,vaempty) = vnoAval,
inference(cnf_transformation,[],[f816]) ).
tcf(c_237,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vabind(X0_vQID,X0_vAval,X0_vAnsMap) != vaempty,
inference(cnf_transformation,[],[f817]) ).
tcf(c_238,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK89(X0_vAnsMap),sK90(X0_vAnsMap),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(cnf_transformation,[],[f818]) ).
tcf(c_239,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X1_vQID)) = vecheck(X0_vATMap,vqvar(X1_vQID)) ) ),
inference(cnf_transformation,[],[f1037]) ).
tcf(c_240,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X0_vQID)) = vsomeAType(X0_vAType),
inference(cnf_transformation,[],[f1038]) ).
tcf(c_241,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vatmbind(X1_vQID,X1_vAType,X1_vATMap) ) ),
inference(cnf_transformation,[],[f823]) ).
tcf(c_242,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( ( X0_vAType = X1_vAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vatmbind(X1_vQID,X1_vAType,X1_vATMap) ) ),
inference(cnf_transformation,[],[f822]) ).
tcf(c_243,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( ( X0_vATMap = X1_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vatmbind(X1_vQID,X1_vAType,X1_vATMap) ) ),
inference(cnf_transformation,[],[f821]) ).
tcf(c_244,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) )
| ~ sP26(X0_vQID,X0_vATMap) ),
inference(cnf_transformation,[],[f827]) ).
tcf(c_245,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK95(X0_vQID,X0_vATMap) = X0_vQID )
| ~ sP26(X0_vQID,X0_vATMap) ),
inference(cnf_transformation,[],[f826]) ).
tcf(c_246,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap )
| ~ sP26(X0_vQID,X0_vATMap) ),
inference(cnf_transformation,[],[f825]) ).
tcf(c_247,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ~ sP26(X0_vQID,X0_vATMap) ),
inference(cnf_transformation,[],[f1039]) ).
tcf(c_252,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP26(X0_vQID,X0_vATMap)
| sP25(X0_vQID,X0_vATMap)
| ( sK100(X0_vQID,X0_vATMap) = X0_vQID ) ),
inference(cnf_transformation,[],[f834]) ).
tcf(c_253,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP26(X0_vQID,X0_vATMap)
| sP25(X0_vQID,X0_vATMap)
| ( X0_vATMap = vatmempty ) ),
inference(cnf_transformation,[],[f833]) ).
tcf(c_254,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP26(X0_vQID,X0_vATMap)
| sP25(X0_vQID,X0_vATMap)
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType ) ),
inference(cnf_transformation,[],[f1041]) ).
tcf(c_255,plain,
! [X0_vQID: vQID] : vecheck(vatmempty,vqvar(X0_vQID)) = vnoAType,
inference(cnf_transformation,[],[f1042]) ).
tcf(c_256,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vatmempty,
inference(cnf_transformation,[],[f836]) ).
tcf(c_257,plain,
! [X0_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( vatmbind(sK101(X0_vATMap),sK102(X0_vATMap),sK103(X0_vATMap)) = X0_vATMap ) ),
inference(cnf_transformation,[],[f837]) ).
tcf(c_258,plain,
! [X0_vAval: vAval] :
( ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vT(sK106(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval ) ),
inference(cnf_transformation,[],[f845]) ).
tcf(c_259,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval ) ),
inference(cnf_transformation,[],[f844]) ).
tcf(c_260,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vT(sK106(X0_vAval)) = X0_vAval ) ),
inference(cnf_transformation,[],[f843]) ).
tcf(c_261,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval ) ),
inference(cnf_transformation,[],[f842]) ).
tcf(c_262,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vT(sK106(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval ) ),
inference(cnf_transformation,[],[f841]) ).
tcf(c_263,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval ) ),
inference(cnf_transformation,[],[f840]) ).
tcf(c_264,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vT(sK106(X0_vAval)) = X0_vAval ) ),
inference(cnf_transformation,[],[f839]) ).
tcf(c_266,plain,
! [X0_vstring: vstring] : vtypeOf(vT(X0_vstring)) = vText,
inference(cnf_transformation,[],[f846]) ).
tcf(c_267,plain,
! [X0_vnat: vnat] : vtypeOf(vNum(X0_vnat)) = vNumber,
inference(cnf_transformation,[],[f847]) ).
tcf(c_268,plain,
! [X0_vYN: vYN] : vtypeOf(vB(X0_vYN)) = vYesNo,
inference(cnf_transformation,[],[f848]) ).
tcf(c_269,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) )
| ~ sP28(X0_vQID,X0_vQMap) ),
inference(cnf_transformation,[],[f852]) ).
tcf(c_270,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK111(X0_vQID,X0_vQMap) = X0_vQID )
| ~ sP28(X0_vQID,X0_vQMap) ),
inference(cnf_transformation,[],[f851]) ).
tcf(c_271,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap )
| ~ sP28(X0_vQID,X0_vQMap) ),
inference(cnf_transformation,[],[f850]) ).
tcf(c_272,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ~ sP28(X0_vQID,X0_vQMap) ),
inference(cnf_transformation,[],[f849]) ).
tcf(c_277,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP28(X0_vQID,X0_vQMap)
| sP27(X0_vQID,X0_vQMap)
| ( sK117(X0_vQID,X0_vQMap) = X0_vQID ) ),
inference(cnf_transformation,[],[f859]) ).
tcf(c_278,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP28(X0_vQID,X0_vQMap)
| sP27(X0_vQID,X0_vQMap)
| ( X0_vQMap = vqmempty ) ),
inference(cnf_transformation,[],[f858]) ).
tcf(c_279,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP28(X0_vQID,X0_vQMap)
| sP27(X0_vQID,X0_vQMap)
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion ) ),
inference(cnf_transformation,[],[f857]) ).
tcf(c_280,plain,
! [X0_vQID: vQID] : vlookupQMap(X0_vQID,vqmempty) = vnoQuestion,
inference(cnf_transformation,[],[f860]) ).
tcf(c_281,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != vqmempty,
inference(cnf_transformation,[],[f861]) ).
tcf(c_282,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap),sK121(X0_vQMap)) = X0_vQMap ) ),
inference(cnf_transformation,[],[f862]) ).
tcf(c_283,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap),
inference(cnf_transformation,[],[f863]) ).
tcf(c_284,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vlookupQMap(X0_vQID,vqmbind(X1_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(cnf_transformation,[],[f864]) ).
tcf(c_285,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType),
inference(cnf_transformation,[],[f865]) ).
tcf(c_286,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vQID = X1_vQID )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != vqmbind(X1_vQID,X1_vLabel,X1_vAType,X1_vQMap) ) ),
inference(cnf_transformation,[],[f869]) ).
tcf(c_287,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vLabel = X1_vLabel )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != vqmbind(X1_vQID,X1_vLabel,X1_vAType,X1_vQMap) ) ),
inference(cnf_transformation,[],[f868]) ).
tcf(c_288,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vAType = X1_vAType )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != vqmbind(X1_vQID,X1_vLabel,X1_vAType,X1_vQMap) ) ),
inference(cnf_transformation,[],[f867]) ).
tcf(c_289,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vQMap = X1_vQMap )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != vqmbind(X1_vQID,X1_vLabel,X1_vAType,X1_vQMap) ) ),
inference(cnf_transformation,[],[f866]) ).
tcf(c_290,plain,
vcheckBinOp(vltop,vNumber,vNumber) = vsomeAType(vYesNo),
inference(cnf_transformation,[],[f870]) ).
tcf(c_291,plain,
vcheckBinOp(vgtop,vNumber,vNumber) = vsomeAType(vYesNo),
inference(cnf_transformation,[],[f871]) ).
tcf(c_292,plain,
vcheckBinOp(vdivop,vNumber,vNumber) = vsomeAType(vNumber),
inference(cnf_transformation,[],[f872]) ).
tcf(c_293,plain,
vcheckBinOp(vmulop,vNumber,vNumber) = vsomeAType(vNumber),
inference(cnf_transformation,[],[f873]) ).
tcf(c_294,plain,
vcheckBinOp(vsubop,vNumber,vNumber) = vsomeAType(vNumber),
inference(cnf_transformation,[],[f874]) ).
tcf(c_295,plain,
vcheckBinOp(vaddop,vNumber,vNumber) = vsomeAType(vNumber),
inference(cnf_transformation,[],[f875]) ).
tcf(c_296,plain,
vNumber != vYesNo,
inference(cnf_transformation,[],[f876]) ).
tcf(c_297,plain,
! [X0_vAType: vAType] : vsomeAType(X0_vAType) != vnoAType,
inference(cnf_transformation,[],[f877]) ).
tcf(c_298,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = X1_vAType )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(cnf_transformation,[],[f878]) ).
tcf(c_299,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK122(X0_vOptAType)) = X0_vOptAType ) ),
inference(cnf_transformation,[],[f879]) ).
tcf(c_300,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vYesNo) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f880]) ).
tcf(c_301,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(X0_vAType) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f881]) ).
tcf(c_302,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,X0_vExp) != vsomeAType(vYesNo) ) ),
inference(cnf_transformation,[],[f882]) ).
tcf(c_303,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vecheck(X0_vATMap,X0_vExp) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(cnf_transformation,[],[f1043]) ).
tcf(c_304,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( visSomeAType(vecheck(X0_vATMap,X0_vExp))
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,X0_vExp)) = vnoAType ) ),
inference(cnf_transformation,[],[f884]) ).
tcf(c_305,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( visSomeAType(vecheck(X0_vATMap,X0_vExp))
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(cnf_transformation,[],[f886]) ).
tcf(c_306,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( visSomeAType(vecheck(X0_vATMap,X1_vExp))
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(cnf_transformation,[],[f885]) ).
tcf(c_307,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring] : vecheck(X0_vATMap,vconstant(vT(X0_vstring))) = vsomeAType(vText),
inference(cnf_transformation,[],[f888]) ).
tcf(c_308,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap] : vecheck(X0_vATMap,vconstant(vB(X0_vYN))) = vsomeAType(vYesNo),
inference(cnf_transformation,[],[f889]) ).
tcf(c_309,plain,
vsubop != vorop,
inference(cnf_transformation,[],[f890]) ).
tcf(c_310,plain,
vsubop != vandop,
inference(cnf_transformation,[],[f891]) ).
tcf(c_311,plain,
vsubop != vltop,
inference(cnf_transformation,[],[f892]) ).
tcf(c_312,plain,
vsubop != vgtop,
inference(cnf_transformation,[],[f893]) ).
tcf(c_313,plain,
vsubop != vdivop,
inference(cnf_transformation,[],[f894]) ).
tcf(c_314,plain,
vsubop != vmulop,
inference(cnf_transformation,[],[f895]) ).
tcf(c_315,plain,
vsubop != vaddop,
inference(cnf_transformation,[],[f896]) ).
tcf(c_316,plain,
vcheckBinOp(vandop,vYesNo,vYesNo) = vsomeAType(vYesNo),
inference(cnf_transformation,[],[f897]) ).
tcf(c_317,plain,
vandop != vorop,
inference(cnf_transformation,[],[f898]) ).
tcf(c_318,plain,
vandop != vltop,
inference(cnf_transformation,[],[f899]) ).
tcf(c_319,plain,
vandop != vgtop,
inference(cnf_transformation,[],[f900]) ).
tcf(c_320,plain,
vandop != vdivop,
inference(cnf_transformation,[],[f901]) ).
tcf(c_321,plain,
vandop != vmulop,
inference(cnf_transformation,[],[f902]) ).
tcf(c_322,plain,
vandop != vaddop,
inference(cnf_transformation,[],[f903]) ).
tcf(c_323,plain,
vdivop != vorop,
inference(cnf_transformation,[],[f904]) ).
tcf(c_324,plain,
vdivop != vltop,
inference(cnf_transformation,[],[f905]) ).
tcf(c_325,plain,
vdivop != vgtop,
inference(cnf_transformation,[],[f906]) ).
tcf(c_326,plain,
vdivop != vmulop,
inference(cnf_transformation,[],[f907]) ).
tcf(c_327,plain,
vdivop != vaddop,
inference(cnf_transformation,[],[f908]) ).
tcf(c_328,plain,
vmulop != vorop,
inference(cnf_transformation,[],[f909]) ).
tcf(c_329,plain,
vmulop != vltop,
inference(cnf_transformation,[],[f910]) ).
tcf(c_330,plain,
vmulop != vgtop,
inference(cnf_transformation,[],[f911]) ).
tcf(c_331,plain,
vmulop != vaddop,
inference(cnf_transformation,[],[f912]) ).
tcf(c_332,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( vexpIsValue(X0_vExp)
| visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp ) ),
inference(cnf_transformation,[],[f913]) ).
tcf(c_333,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(cnf_transformation,[],[f914]) ).
tcf(c_334,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X0_vAnsMap))
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ~ vexpIsValue(X0_vExp) ),
inference(cnf_transformation,[],[f915]) ).
tcf(c_335,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap] : vreduceExp(vconstant(X0_vAval),X0_vAnsMap) = vnoExp,
inference(cnf_transformation,[],[f916]) ).
tcf(c_336,plain,
! [X0_vOptExp: vOptExp] :
( visSomeExp(X0_vOptExp)
| ( X0_vOptExp = vnoExp ) ),
inference(cnf_transformation,[],[f917]) ).
tcf(c_337,plain,
~ visSomeExp(vnoExp),
inference(cnf_transformation,[],[f918]) ).
tcf(c_338,plain,
! [X0_vExp: vExp] : vsomeExp(X0_vExp) != vnoExp,
inference(cnf_transformation,[],[f919]) ).
tcf(c_339,plain,
! [X0_vOptExp: vOptExp] :
( ( X0_vOptExp = vnoExp )
| ( vsomeExp(sK123(X0_vOptExp)) = X0_vOptExp ) ),
inference(cnf_transformation,[],[f920]) ).
tcf(c_340,plain,
vcheckBinOp(vorop,vYesNo,vYesNo) = vsomeAType(vYesNo),
inference(cnf_transformation,[],[f921]) ).
tcf(c_341,plain,
vorop != vltop,
inference(cnf_transformation,[],[f922]) ).
tcf(c_342,plain,
vorop != vgtop,
inference(cnf_transformation,[],[f923]) ).
tcf(c_343,plain,
vorop != vaddop,
inference(cnf_transformation,[],[f924]) ).
tcf(c_344,plain,
vaddop != vltop,
inference(cnf_transformation,[],[f925]) ).
tcf(c_345,plain,
vaddop != vgtop,
inference(cnf_transformation,[],[f926]) ).
tcf(c_346,plain,
vltop != vgtop,
inference(cnf_transformation,[],[f927]) ).
tcf(c_347,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f1044]) ).
tcf(c_348,plain,
! [X0_vOptAval: vOptAval] :
( visSomeAval(X0_vOptAval)
| ( X0_vOptAval = vnoAval ) ),
inference(cnf_transformation,[],[f929]) ).
tcf(c_349,plain,
~ visSomeAval(vnoAval),
inference(cnf_transformation,[],[f930]) ).
tcf(c_350,plain,
! [X0_vAval: vAval] : vsomeAval(X0_vAval) != vnoAval,
inference(cnf_transformation,[],[f931]) ).
tcf(c_351,plain,
! [X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( vsomeAval(sK124(X0_vOptAval)) = X0_vOptAval ) ),
inference(cnf_transformation,[],[f932]) ).
tcf(c_352,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vlookupAnsMap(X0_vQID,vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vsomeAval(X0_vAval),
inference(cnf_transformation,[],[f933]) ).
tcf(c_353,plain,
! [X0_vOptAval: vOptAval] :
( ( vsomeAval(sK125(X0_vOptAval)) = X0_vOptAval )
| ~ visSomeAval(X0_vOptAval) ),
inference(cnf_transformation,[],[f934]) ).
tcf(c_354,plain,
! [X0_vAval: vAval] : visSomeAval(vsomeAval(X0_vAval)),
inference(cnf_transformation,[],[f935]) ).
tcf(c_355,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( X0_vAval = X1_vAval )
| ( vsomeAval(X0_vAval) != vsomeAval(X1_vAval) ) ),
inference(cnf_transformation,[],[f936]) ).
tcf(c_356,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeAval(vlookupAnsMap(X0_vQID,X0_vAnsMap))
| ( vreduceExp(vqvar(X0_vQID),X0_vAnsMap) = vnoExp ) ),
inference(cnf_transformation,[],[f937]) ).
tcf(c_357,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vlookupAnsMap(X0_vQID,vabind(X1_vQID,X0_vAval,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(cnf_transformation,[],[f938]) ).
tcf(c_358,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(cnf_transformation,[],[f1045]) ).
tcf(c_359,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vsomeAType(sK126(X1_vATMap,X0_vQID)) = vecheck(X1_vATMap,vqvar(X0_vQID)) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f1046]) ).
tcf(c_360,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f1047]) ).
tcf(c_361,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X1_vATMap),X0_vATMap))
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(cnf_transformation,[],[f1048]) ).
tcf(c_362,plain,
! [X0_vstring: vstring,X0_vnat: vnat] : vNum(X0_vnat) != vT(X0_vstring),
inference(cnf_transformation,[],[f943]) ).
tcf(c_363,plain,
! [X0_vYN: vYN,X0_vstring: vstring] : vT(X0_vstring) != vB(X0_vYN),
inference(cnf_transformation,[],[f944]) ).
tcf(c_364,plain,
! [X0_vstring: vstring,X1_vstring: vstring] :
( ( X0_vstring = X1_vstring )
| ( vT(X0_vstring) != vT(X1_vstring) ) ),
inference(cnf_transformation,[],[f945]) ).
tcf(c_365,plain,
! [X0_vAval: vAval] :
( ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vT(sK129(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval ) ),
inference(cnf_transformation,[],[f946]) ).
tcf(c_366,plain,
vNumber != vText,
inference(cnf_transformation,[],[f947]) ).
tcf(c_367,plain,
vYesNo != vText,
inference(cnf_transformation,[],[f948]) ).
tcf(c_368,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(cnf_transformation,[],[f949]) ).
tcf(c_369,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( vsomeQuestion(sK130(X0_vOptQuestion),sK131(X0_vOptQuestion),sK132(X0_vOptQuestion)) = X0_vOptQuestion )
| ~ visSomeQuestion(X0_vOptQuestion) ),
inference(cnf_transformation,[],[f950]) ).
tcf(c_370,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : visSomeQuestion(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),
inference(cnf_transformation,[],[f951]) ).
tcf(c_371,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vQID = X1_vQID )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(cnf_transformation,[],[f954]) ).
tcf(c_372,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vLabel = X1_vLabel )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(cnf_transformation,[],[f953]) ).
tcf(c_373,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vAType = X1_vAType )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(cnf_transformation,[],[f952]) ).
tcf(c_374,plain,
! [X0_vOptQuestion: vOptQuestion] :
( visSomeQuestion(X0_vOptQuestion)
| ( X0_vOptQuestion = vnoQuestion ) ),
inference(cnf_transformation,[],[f955]) ).
tcf(c_375,plain,
~ visSomeQuestion(vnoQuestion),
inference(cnf_transformation,[],[f956]) ).
tcf(c_376,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vnoQuestion,
inference(cnf_transformation,[],[f957]) ).
tcf(c_377,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK134(X0_vOptQuestion),sK135(X0_vOptQuestion)) = X0_vOptQuestion ) ),
inference(cnf_transformation,[],[f958]) ).
tcf(c_378,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( visSomeQuestion(vlookupQMap(X0_vQID,X0_vQMap))
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(cnf_transformation,[],[f959]) ).
tcf(c_379,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X1_vATMap) = X3_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f960]) ).
tcf(c_380,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f961]) ).
tcf(c_381,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vecheck(X1_vATMap,vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f1049]) ).
tcf(c_382,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X1_vATMap,vatmbind(X0_vQID,X0_vAType,X0_vATMap)))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(cnf_transformation,[],[f1050]) ).
tcf(c_383,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] : vdefquestion(X0_vQID,X0_vLabel,X0_vAType) != vask(X1_vQID),
inference(cnf_transformation,[],[f964]) ).
tcf(c_384,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] : vdefquestion(X0_vQID,X0_vLabel,X0_vAType) != vvalue(X1_vQID,X1_vAType,X0_vExp),
inference(cnf_transformation,[],[f965]) ).
tcf(c_385,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] : vquestion(X0_vQID,X0_vLabel,X0_vAType) != vdefquestion(X1_vQID,X1_vLabel,X1_vAType),
inference(cnf_transformation,[],[f966]) ).
tcf(c_386,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vQID = X1_vQID )
| ( vdefquestion(X0_vQID,X0_vLabel,X0_vAType) != vdefquestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(cnf_transformation,[],[f969]) ).
tcf(c_387,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vLabel = X1_vLabel )
| ( vdefquestion(X0_vQID,X0_vLabel,X0_vAType) != vdefquestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(cnf_transformation,[],[f968]) ).
tcf(c_388,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vAType = X1_vAType )
| ( vdefquestion(X0_vQID,X0_vLabel,X0_vAType) != vdefquestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(cnf_transformation,[],[f967]) ).
tcf(c_389,plain,
! [X0_vEntry: vEntry] :
( ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),sK138(X0_vEntry)) = X0_vEntry ) ),
inference(cnf_transformation,[],[f970]) ).
tcf(c_390,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f971]) ).
tcf(c_391,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f972]) ).
tcf(c_392,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vexpIsValue(X0_vExp)
| visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(cnf_transformation,[],[f973]) ).
tcf(c_393,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] : vvalue(X0_vQID,X0_vAType,X0_vExp) != vask(X1_vQID),
inference(cnf_transformation,[],[f974]) ).
tcf(c_394,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] : vquestion(X0_vQID,X0_vLabel,X0_vAType) != vvalue(X1_vQID,X1_vAType,X0_vExp),
inference(cnf_transformation,[],[f975]) ).
tcf(c_395,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vExp: vExp,X1_vQID: vQID,X1_vAType: vAType] :
( ( X0_vQID = X1_vQID )
| ( vvalue(X0_vQID,X0_vAType,X0_vExp) != vvalue(X1_vQID,X1_vAType,X1_vExp) ) ),
inference(cnf_transformation,[],[f978]) ).
tcf(c_396,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vExp: vExp,X1_vQID: vQID,X1_vAType: vAType] :
( ( X0_vAType = X1_vAType )
| ( vvalue(X0_vQID,X0_vAType,X0_vExp) != vvalue(X1_vQID,X1_vAType,X1_vExp) ) ),
inference(cnf_transformation,[],[f977]) ).
tcf(c_397,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vExp: vExp,X1_vQID: vQID,X1_vAType: vAType] :
( ( X0_vExp = X1_vExp )
| ( vvalue(X0_vQID,X0_vAType,X0_vExp) != vvalue(X1_vQID,X1_vAType,X1_vExp) ) ),
inference(cnf_transformation,[],[f976]) ).
tcf(c_398,plain,
! [X0_vOptAType: vOptAType] :
( visSomeAType(X0_vOptAType)
| ( X0_vOptAType = vnoAType ) ),
inference(cnf_transformation,[],[f979]) ).
tcf(c_399,plain,
! [X0_vOptAType: vOptAType] :
( ( vsomeAType(sK146(X0_vOptAType)) = X0_vOptAType )
| ~ visSomeAType(X0_vOptAType) ),
inference(cnf_transformation,[],[f980]) ).
tcf(c_400,plain,
! [X0_vAType: vAType] : visSomeAType(vsomeAType(X0_vAType)),
inference(cnf_transformation,[],[f981]) ).
tcf(c_401,plain,
~ visSomeAType(vnoAType),
inference(cnf_transformation,[],[f982]) ).
tcf(c_402,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ~ visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap)) ),
inference(cnf_transformation,[],[f983]) ).
tcf(c_403,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X2_vExp: vExp] : vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != vunop(X0_vUnOpT,X2_vExp),
inference(cnf_transformation,[],[f984]) ).
tcf(c_404,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vUnOpT: vUnOpT] : vunop(X0_vUnOpT,X0_vExp) != vqvar(X0_vQID),
inference(cnf_transformation,[],[f985]) ).
tcf(c_405,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vUnOpT: vUnOpT] : vunop(X0_vUnOpT,X0_vExp) != vconstant(X0_vAval),
inference(cnf_transformation,[],[f986]) ).
tcf(c_406,plain,
! [X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( ( X0_vUnOpT = X1_vUnOpT )
| ( vunop(X0_vUnOpT,X0_vExp) != vunop(X1_vUnOpT,X1_vExp) ) ),
inference(cnf_transformation,[],[f988]) ).
tcf(c_407,plain,
! [X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( ( X0_vExp = X1_vExp )
| ( vunop(X0_vUnOpT,X0_vExp) != vunop(X1_vUnOpT,X1_vExp) ) ),
inference(cnf_transformation,[],[f987]) ).
tcf(c_408,plain,
! [X0_vExp: vExp] :
( ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( vbinop(sK149(X0_vExp),sK150(X0_vExp),sK151(X0_vExp)) = X0_vExp ) ),
inference(cnf_transformation,[],[f989]) ).
tcf(c_409,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp] : vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != vqvar(X0_vQID),
inference(cnf_transformation,[],[f990]) ).
tcf(c_410,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] : vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != vconstant(X0_vAval),
inference(cnf_transformation,[],[f991]) ).
tcf(c_411,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X3_vExp: vExp] :
( ( X0_vExp = X2_vExp )
| ( vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != vbinop(X2_vExp,X1_vBinOpT,X3_vExp) ) ),
inference(cnf_transformation,[],[f994]) ).
tcf(c_412,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X3_vExp: vExp] :
( ( X0_vBinOpT = X1_vBinOpT )
| ( vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != vbinop(X2_vExp,X1_vBinOpT,X3_vExp) ) ),
inference(cnf_transformation,[],[f993]) ).
tcf(c_413,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X3_vExp: vExp] :
( ( X1_vExp = X3_vExp )
| ( vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != vbinop(X2_vExp,X1_vBinOpT,X3_vExp) ) ),
inference(cnf_transformation,[],[f992]) ).
tcf(c_414,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : vconstant(X0_vAval) != vqvar(X0_vQID),
inference(cnf_transformation,[],[f995]) ).
tcf(c_415,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vqvar(X0_vQID) != vqvar(X1_vQID) ) ),
inference(cnf_transformation,[],[f996]) ).
tcf(c_416,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(X0_vAval) != sK154(X0_vExp) ) ),
inference(cnf_transformation,[],[f998]) ).
tcf(c_417,plain,
! [X0_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK154(X0_vExp) = X0_vExp ) ),
inference(cnf_transformation,[],[f997]) ).
tcf(c_418,plain,
! [X0_vExp: vExp] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ~ vexpIsValue(X0_vExp) ),
inference(cnf_transformation,[],[f999]) ).
tcf(c_419,plain,
! [X0_vExp: vExp] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ~ vexpIsValue(X0_vExp) ),
inference(cnf_transformation,[],[f1000]) ).
tcf(c_420,plain,
! [X0_vAval: vAval] : vexpIsValue(vconstant(X0_vAval)),
inference(cnf_transformation,[],[f1001]) ).
tcf(c_421,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f1002]) ).
tcf(c_422,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] : vquestion(X0_vQID,X0_vLabel,X0_vAType) != vask(X1_vQID),
inference(cnf_transformation,[],[f1003]) ).
tcf(c_423,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vask(X0_vQID) != vask(X1_vQID) ) ),
inference(cnf_transformation,[],[f1004]) ).
tcf(c_427,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(cnf_transformation,[],[f1010]) ).
tcf(c_428,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(cnf_transformation,[],[f1009]) ).
tcf(c_429,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(cnf_transformation,[],[f1008]) ).
tcf(c_430,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))
| ( X0_vQuestionnaire = vqempty )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(cnf_transformation,[],[f1012]) ).
tcf(c_431,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))
| ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(cnf_transformation,[],[f1011]) ).
tcf(c_432,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : vreduce(vqempty,X0_vAnsMap,X0_vQMap) = vnoQConf,
inference(cnf_transformation,[],[f1013]) ).
tcf(c_433,plain,
! [X0_vOptQConf: vOptQConf] :
( visSomeQC(X0_vOptQConf)
| ( X0_vOptQConf = vnoQConf ) ),
inference(cnf_transformation,[],[f1014]) ).
tcf(c_434,plain,
~ visSomeQC(vnoQConf),
inference(cnf_transformation,[],[f1015]) ).
tcf(c_435,plain,
! [X0_vQConf: vQConf] : vsomeQConf(X0_vQConf) != vnoQConf,
inference(cnf_transformation,[],[f1016]) ).
tcf(c_436,plain,
! [X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( vsomeQConf(sK162(X0_vOptQConf)) = X0_vOptQConf ) ),
inference(cnf_transformation,[],[f1017]) ).
tcf(c_437,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f1018]) ).
tcf(c_438,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f1019]) ).
tcf(c_439,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(cnf_transformation,[],[f1051]) ).
tcf(c_440,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(cnf_transformation,[],[f1052]) ).
tcf(c_441,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vQID = X1_vQID )
| ( vquestion(X0_vQID,X0_vLabel,X0_vAType) != vquestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(cnf_transformation,[],[f1024]) ).
tcf(c_442,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vLabel = X1_vLabel )
| ( vquestion(X0_vQID,X0_vLabel,X0_vAType) != vquestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(cnf_transformation,[],[f1023]) ).
tcf(c_443,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( X0_vAType = X1_vAType )
| ( vquestion(X0_vQID,X0_vLabel,X0_vAType) != vquestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(cnf_transformation,[],[f1022]) ).
tcf(c_447,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) )
| ~ visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap)) ),
inference(cnf_transformation,[],[f1030]) ).
tcf(c_448,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) )
| ~ visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap)) ),
inference(cnf_transformation,[],[f1029]) ).
tcf(c_449,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) )
| ~ visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap)) ),
inference(cnf_transformation,[],[f1028]) ).
tcf(c_450,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vexpIsValue(X0_vExp)
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) )
| ~ visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap)) ),
inference(cnf_transformation,[],[f1031]) ).
tcf(c_451,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap)) ),
inference(cnf_transformation,[],[f1032]) ).
tcf(c_452,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(vbinop(X1_vExp,X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X1_vExp)
| ~ visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap)) ),
inference(cnf_transformation,[],[f1033]) ).
tcf(c_453,plain,
! [X0_vExp: vExp] : vgetExp(vsomeExp(X0_vExp)) = X0_vExp,
inference(cnf_transformation,[],[f1034]) ).
tcf(c_454,plain,
! [X0_vOptQConf: vOptQConf] :
( ( vsomeQConf(sK167(X0_vOptQConf)) = X0_vOptQConf )
| ~ visSomeQC(X0_vOptQConf) ),
inference(cnf_transformation,[],[f1035]) ).
tcf(c_455,plain,
! [X0_vQConf: vQConf] : visSomeQC(vsomeQConf(X0_vQConf)),
inference(cnf_transformation,[],[f1036]) ).
tcf(c_754,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(global_subsumption_just,[status(thm)],[c_184,c_155,c_151,c_147,c_143,c_139,c_184]) ).
tcf(c_755,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vNumber ) ),
inference(renaming,[status(thm)],[c_754]) ).
tcf(c_757,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType )
| ( X0_vBinOpT = veqop )
| ( X1_vAType = vNumber )
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| sP17(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(global_subsumption_just,[status(thm)],[c_210,c_201,c_198,c_195,c_192,c_189,c_210]) ).
tcf(c_758,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(renaming,[status(thm)],[c_757]) ).
tcf(c_760,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType )
| ( X0_vBinOpT = veqop )
| ( X0_vAType = vNumber )
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| sP17(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(global_subsumption_just,[status(thm)],[c_209,c_200,c_197,c_194,c_191,c_188,c_209]) ).
tcf(c_761,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(renaming,[status(thm)],[c_760]) ).
tcf(c_762,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) )
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP12(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(global_subsumption_just,[status(thm)],[c_186,c_149,c_145,c_141,c_186]) ).
tcf(c_763,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP12(X0_vBinOpT,X0_vAType,X1_vAType)
| sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) ) ),
inference(renaming,[status(thm)],[c_762]) ).
tcf(c_1074,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP14(X0_vBinOpT,X1_vAType,X0_vAType)
| sP13(X0_vBinOpT,X1_vAType,X0_vAType)
| sP12(X0_vBinOpT,X1_vAType,X0_vAType)
| sP11(X0_vBinOpT,X1_vAType,X0_vAType)
| sP10(X0_vBinOpT,X1_vAType,X0_vAType)
| sP9(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vNumber ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_185,c_140]) ).
tcf(c_1088,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP13(X0_vBinOpT,X1_vAType,X0_vAType)
| sP12(X0_vBinOpT,X1_vAType,X0_vAType)
| sP11(X0_vBinOpT,X1_vAType,X0_vAType)
| sP10(X0_vBinOpT,X1_vAType,X0_vAType)
| sP9(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vNumber ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1074,c_144]) ).
tcf(c_1102,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP12(X0_vBinOpT,X1_vAType,X0_vAType)
| sP11(X0_vBinOpT,X1_vAType,X0_vAType)
| sP10(X0_vBinOpT,X1_vAType,X0_vAType)
| sP9(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vNumber ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1088,c_148]) ).
tcf(c_1116,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP11(X0_vBinOpT,X1_vAType,X0_vAType)
| sP10(X0_vBinOpT,X1_vAType,X0_vAType)
| sP9(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vNumber ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1102,c_152]) ).
tcf(c_1130,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP10(X0_vBinOpT,X1_vAType,X0_vAType)
| sP9(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vNumber ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1116,c_156]) ).
tcf(c_3274,plain,
vsomeQConf(vQC(sK34,sK37,sK32)) = vsomeQConf(vQC(sK36,sK33,vq2)),
inference(demodulation,[status(thm)],[c_51,c_59]) ).
tcf(c_3355,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(demodulation,[status(thm)],[c_84,c_87]) ).
tcf(c_3396,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(demodulation,[status(thm)],[c_86,c_87]) ).
tcf(c_4156,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X2_vAType)
| sP21(X0_vBinOpT,X0_vAType,X2_vAType)
| sP20(X0_vBinOpT,X0_vAType,X2_vAType)
| sP19(X0_vBinOpT,X0_vAType,X2_vAType)
| sP17(X0_vBinOpT,X0_vAType,X2_vAType)
| sP16(X0_vBinOpT,X0_vAType,X2_vAType)
| ( X1_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X2_vAType) = vnoAType )
| ( X2_vAType != X3_vAType )
| ( X0_vAType != X1_vAType )
| ( X0_vBinOpT != X1_vBinOpT ) ),
inference(resolution_lifted,[status(thm)],[c_208,c_199]) ).
tcf(c_4157,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X1_vAType)
| sP21(X0_vBinOpT,X0_vAType,X1_vAType)
| sP20(X0_vBinOpT,X0_vAType,X1_vAType)
| sP19(X0_vBinOpT,X0_vAType,X1_vAType)
| sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(unflattening,[status(thm)],[c_4156]) ).
tcf(c_4208,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X2_vAType)
| sP21(X0_vBinOpT,X0_vAType,X2_vAType)
| sP20(X0_vBinOpT,X0_vAType,X2_vAType)
| sP17(X0_vBinOpT,X0_vAType,X2_vAType)
| sP16(X0_vBinOpT,X0_vAType,X2_vAType)
| ( X1_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X2_vAType) = vnoAType )
| ( X2_vAType != X3_vAType )
| ( X0_vAType != X1_vAType )
| ( X0_vBinOpT != X1_vBinOpT ) ),
inference(resolution_lifted,[status(thm)],[c_4157,c_196]) ).
tcf(c_4209,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X1_vAType)
| sP21(X0_vBinOpT,X0_vAType,X1_vAType)
| sP20(X0_vBinOpT,X0_vAType,X1_vAType)
| sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(unflattening,[status(thm)],[c_4208]) ).
tcf(c_4260,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X2_vAType)
| sP21(X0_vBinOpT,X0_vAType,X2_vAType)
| sP17(X0_vBinOpT,X0_vAType,X2_vAType)
| sP16(X0_vBinOpT,X0_vAType,X2_vAType)
| ( X1_vBinOpT = vdivop )
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X2_vAType) = vnoAType )
| ( X2_vAType != X3_vAType )
| ( X0_vAType != X1_vAType )
| ( X0_vBinOpT != X1_vBinOpT ) ),
inference(resolution_lifted,[status(thm)],[c_4209,c_193]) ).
tcf(c_4261,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X1_vAType)
| sP21(X0_vBinOpT,X0_vAType,X1_vAType)
| sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vdivop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(unflattening,[status(thm)],[c_4260]) ).
tcf(c_4312,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X2_vAType)
| sP17(X0_vBinOpT,X0_vAType,X2_vAType)
| sP16(X0_vBinOpT,X0_vAType,X2_vAType)
| ( X1_vBinOpT = vmulop )
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vdivop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X2_vAType) = vnoAType )
| ( X2_vAType != X3_vAType )
| ( X0_vAType != X1_vAType )
| ( X0_vBinOpT != X1_vBinOpT ) ),
inference(resolution_lifted,[status(thm)],[c_4261,c_190]) ).
tcf(c_4313,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP22(X0_vBinOpT,X0_vAType,X1_vAType)
| sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(unflattening,[status(thm)],[c_4312]) ).
tcf(c_4364,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( sP17(X0_vBinOpT,X0_vAType,X2_vAType)
| sP16(X0_vBinOpT,X0_vAType,X2_vAType)
| ( X1_vBinOpT = vsubop )
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X2_vAType) = vnoAType )
| ( X2_vAType != X3_vAType )
| ( X0_vAType != X1_vAType )
| ( X0_vBinOpT != X1_vBinOpT ) ),
inference(resolution_lifted,[status(thm)],[c_4313,c_187]) ).
tcf(c_4365,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP17(X0_vBinOpT,X0_vAType,X1_vAType)
| sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vsubop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(unflattening,[status(thm)],[c_4364]) ).
tcf(c_9786,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( sP10(X0_vBinOpT,X2_vAType,X0_vAType)
| sP9(X0_vBinOpT,X2_vAType,X0_vAType)
| sP7(X0_vBinOpT,X2_vAType,X0_vAType)
| ( X0_vAType = vNumber )
| ( vcheckBinOp(X1_vBinOpT,X3_vAType,X1_vAType) = vsomeAType(vYesNo) )
| ( X2_vAType != X3_vAType )
| ( X0_vAType != X1_vAType )
| ( X0_vBinOpT != X1_vBinOpT ) ),
inference(resolution_lifted,[status(thm)],[c_1130,c_169]) ).
tcf(c_9787,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(unflattening,[status(thm)],[c_9786]) ).
tcf(c_10227,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( sP10(X0_vBinOpT,X2_vAType,X0_vAType)
| sP8(X0_vBinOpT,X2_vAType,X0_vAType)
| sP7(X0_vBinOpT,X2_vAType,X0_vAType)
| ( X1_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X2_vAType != X3_vAType )
| ( X0_vAType != X1_vAType )
| ( X0_vBinOpT != X1_vBinOpT ) ),
inference(resolution_lifted,[status(thm)],[c_1130,c_164]) ).
tcf(c_10228,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP10(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(unflattening,[status(thm)],[c_10227]) ).
tcf(c_10239,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10228,c_160]) ).
tcf(c_10244,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( sP10(X0_vBinOpT,X2_vAType,X0_vAType)
| sP8(X0_vBinOpT,X2_vAType,X0_vAType)
| sP7(X0_vBinOpT,X2_vAType,X0_vAType)
| ( X3_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X2_vAType != X3_vAType )
| ( X0_vAType != X1_vAType )
| ( X0_vBinOpT != X1_vBinOpT ) ),
inference(resolution_lifted,[status(thm)],[c_1130,c_163]) ).
tcf(c_10245,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP10(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X1_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(unflattening,[status(thm)],[c_10244]) ).
tcf(c_10256,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X1_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10245,c_159]) ).
tcf(c_27097,plain,
! [X0_vAval: vAval,X1_vAval: vAval,X2_vAval: vAval] :
( ( X2_vAval = X0_vAval )
| ( X2_vAval != X1_vAval )
| ( X0_vAval != X1_vAval ) ),
theory(equality) ).
tcf(c_30760,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_81,c_81]) ).
tcf(c_30789,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vno )
| ( X2_vYN = vno )
| ( X1_vYN = X3_vYN )
| ( X0_vYN = X2_vYN )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_30760,c_30760]) ).
tcf(c_30971,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vno )
| ( X2_vYN = vyes )
| ( X1_vYN = X3_vYN )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vno ) ),
inference(superposition,[status(thm)],[c_30789,c_81]) ).
tcf(c_35756,plain,
! [X0_vQID: vQID] :
( visSomeAval(vnoAval)
| ( vreduceExp(vqvar(X0_vQID),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_236,c_356]) ).
tcf(c_35759,plain,
! [X0_vQID: vQID] : vreduceExp(vqvar(X0_vQID),vaempty) = vnoExp,
inference(forward_subsumption_resolution,[status(thm)],[c_35756,c_349]) ).
tcf(c_36923,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vno != vno ) ),
inference(equality_factoring,[status(thm)],[c_30971]) ).
tcf(c_36975,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(equality_resolution_simp,[status(thm)],[c_36923]) ).
tcf(c_38234,plain,
! [X0_vQID: vQID] :
( ( vconstant(sK155(vqvar(X0_vQID))) = vqvar(X0_vQID) )
| ~ vexpIsValue(vqvar(X0_vQID)) ),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_38235,plain,
! [X0_vQID: vQID] : vconstant(sK155(vqvar(X0_vQID))) != vqvar(X0_vQID),
inference(instantiation,[status(thm)],[c_414]) ).
tcf(c_38279,plain,
( ( vNumber = vYesNo )
| ( vsomeAType(vNumber) != vsomeAType(vYesNo) ) ),
inference(instantiation,[status(thm)],[c_298]) ).
tcf(c_38281,plain,
( ( vYesNo = vText )
| ( vsomeAType(vYesNo) != vsomeAType(vText) ) ),
inference(instantiation,[status(thm)],[c_298]) ).
tcf(c_39537,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X0_vnat: vnat] :
( ( vNum(X0_vnat) = vB(X0_vYN) )
| ( vB(X0_vYN) != X0_vAval )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(instantiation,[status(thm)],[c_27097]) ).
tcf(c_39539,plain,
! [X0_vstring: vstring,X0_vAval: vAval,X0_vnat: vnat] :
( ( vNum(X0_vnat) = vT(X0_vstring) )
| ( vT(X0_vstring) != X0_vAval )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(instantiation,[status(thm)],[c_27097]) ).
tcf(c_50986,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_81,c_81]) ).
tcf(c_51014,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vno )
| ( X2_vYN = vno )
| ( X1_vYN = X3_vYN )
| ( X0_vYN = X2_vYN )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_50986,c_50986]) ).
tcf(c_51023,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_50986,c_59]) ).
tcf(c_51327,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X1_vYN )
| ( X0_vYN != vno ) ),
inference(equality_factoring,[status(thm)],[c_51014]) ).
tcf(c_54273,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vYN: vYN,X3_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = X3_vYN )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X3_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_50986,c_51023]) ).
tcf(c_59664,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vunop(X0_vUnOpT,vqvar(X0_vQID)),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_35759,c_332]) ).
tcf(c_59666,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT] :
( vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vunop(X0_vUnOpT,vqvar(X0_vQID)),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59664,c_337]) ).
tcf(c_64190,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vNum(sK128(X0_vAval)) = vB(X0_vYN) )
| ( vB(X0_vYN) != X0_vAval )
| ( vNum(sK128(X0_vAval)) != X0_vAval ) ),
inference(instantiation,[status(thm)],[c_39537]) ).
tcf(c_64200,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( vNum(sK128(X0_vAval)) = vT(X0_vstring) )
| ( vT(X0_vstring) != X0_vAval )
| ( vNum(sK128(X0_vAval)) != X0_vAval ) ),
inference(instantiation,[status(thm)],[c_39539]) ).
tcf(c_68105,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_35759,c_333]) ).
tcf(c_68108,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68105,c_337]) ).
tcf(c_74951,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_362]) ).
tcf(c_75003,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_260,c_364]) ).
tcf(c_80586,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_258,c_364]) ).
tcf(c_88837,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_363]) ).
tcf(c_88840,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK129(X0_vAval) = X0_vstring )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_364]) ).
tcf(c_116403,plain,
! [X0_vYN: vYN,X0_vstring: vstring,X0_vAval: vAval] :
( ( vT(X0_vstring) = vB(X0_vYN) )
| ( vB(X0_vYN) != X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(instantiation,[status(thm)],[c_27097]) ).
tcf(c_137704,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( vT(X0_vstring) = vB(sK104(X0_vAval)) )
| ( vT(X0_vstring) != X0_vAval )
| ( vB(sK104(X0_vAval)) != X0_vAval ) ),
inference(instantiation,[status(thm)],[c_116403]) ).
tcf(c_137706,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( vT(X0_vstring) = vB(sK127(X0_vAval)) )
| ( vT(X0_vstring) != X0_vAval )
| ( vB(sK127(X0_vAval)) != X0_vAval ) ),
inference(instantiation,[status(thm)],[c_116403]) ).
tcf(c_161064,plain,
! [X0_vstring: vstring,X0_vAval: vAval] : vT(X0_vstring) != vB(sK104(X0_vAval)),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_161066,plain,
! [X0_vstring: vstring,X0_vAval: vAval] : vT(X0_vstring) != vB(sK127(X0_vAval)),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_254389,plain,
! [X0_vstring: vstring,X0_vAval: vAval] : vNum(sK128(X0_vAval)) != vT(X0_vstring),
inference(instantiation,[status(thm)],[c_362]) ).
tcf(c_254392,plain,
! [X0_vYN: vYN,X0_vAval: vAval] : vNum(sK128(X0_vAval)) != vB(X0_vYN),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_280854,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(unflattening,[status(thm)],[c_51327]) ).
tcf(c_280867,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X1_vATMap = sK31 )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_280880,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X0_vATMap = sK35 )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_50,c_54]) ).
tcf(c_280893,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_280905,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_50,c_56]) ).
tcf(c_280913,plain,
vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(sK38(vtypeQM(sK33),vtypeAM(sK36),vq2),sK39(vtypeQM(sK33),vtypeAM(sK36),vq2))),
inference(superposition,[status(thm)],[c_50,c_57]) ).
tcf(c_280918,plain,
vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,vMC(sK40(vtypeQM(sK33),vq1,vtypeAM(sK36)),sK41(vtypeQM(sK33),vq1,vtypeAM(sK36)))),
inference(superposition,[status(thm)],[c_50,c_58]) ).
tcf(c_280962,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( sK44(X0_vQConf) = X0_vQuestionnaire )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != X0_vQConf ) ),
inference(superposition,[status(thm)],[c_74,c_73]) ).
tcf(c_280963,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( sK43(X0_vQConf) = X0_vQMap )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != X0_vQConf ) ),
inference(superposition,[status(thm)],[c_74,c_72]) ).
tcf(c_280964,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( sK42(X0_vQConf) = X0_vAnsMap )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != X0_vQConf ) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
tcf(c_280983,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(sK40(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf)),sK41(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf))))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_58]) ).
tcf(c_280984,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(sK38(sK46(X0_vMapConf),sK45(X0_vMapConf),X1_vQuestionnaire),sK39(sK46(X0_vMapConf),sK45(X0_vMapConf),X1_vQuestionnaire)))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_57]) ).
tcf(c_280985,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_56]) ).
tcf(c_280986,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_55]) ).
tcf(c_280987,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_54]) ).
tcf(c_280988,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_53]) ).
tcf(c_280989,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ( vMC(X0_vATMap,X1_vATMap) != X0_vMapConf ) ),
inference(superposition,[status(thm)],[c_77,c_76]) ).
tcf(c_280990,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK45(X0_vMapConf) = X0_vATMap )
| ( vMC(X0_vATMap,X1_vATMap) != X0_vMapConf ) ),
inference(superposition,[status(thm)],[c_77,c_75]) ).
tcf(c_280991,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(sK40(X1_vATMap,X0_vQuestionnaire,X0_vATMap),sK41(X1_vATMap,X0_vQuestionnaire,X0_vATMap)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_58]) ).
tcf(c_280992,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(sK38(X1_vATMap,X0_vATMap,X1_vQuestionnaire),sK39(X1_vATMap,X0_vATMap,X1_vQuestionnaire)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_57]) ).
tcf(c_280993,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X2_vATMap = X4_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_56]) ).
tcf(c_280994,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X3_vATMap = X5_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_55]) ).
tcf(c_280995,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(X0_vMapConf) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_54]) ).
tcf(c_280996,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X3_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_53]) ).
tcf(c_281005,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(sK38(sK46(X0_vMapConf),sK45(X0_vMapConf),X1_vQuestionnaire),sK39(sK46(X0_vMapConf),sK45(X0_vMapConf),X1_vQuestionnaire)))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_280984,c_77]) ).
tcf(c_281008,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(sK40(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf)),sK41(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf))))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_280983,c_77]) ).
tcf(c_281027,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_280988,c_77]) ).
tcf(c_281032,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_280987,c_77]) ).
tcf(c_281037,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X3_vATMap = X5_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_280986,c_77]) ).
tcf(c_281042,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X2_vATMap = X4_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_280985,c_77]) ).
tcf(c_281059,plain,
! [X0_vATMap: vATMap,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(X0_vQConf)),vtypeQM(sK43(X0_vQConf))),sK44(X0_vQConf),vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vq1,X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_74,c_78]) ).
tcf(c_281075,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_81,c_60]) ).
tcf(c_281084,plain,
! [X0_vATMap: vATMap,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(X0_vQConf)),vtypeQM(sK43(X0_vQConf))),sK44(X0_vQConf),vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vq2,X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_74,c_82]) ).
tcf(c_281097,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty) = vtypeAM(vabind(X0_vQID,X0_vAval,vaempty)),
inference(superposition,[status(thm)],[c_88,c_87]) ).
tcf(c_281124,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X3_vATMap = X5_vATMap )
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_95]) ).
tcf(c_281125,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X5_vATMap )
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_95]) ).
tcf(c_281130,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X3_vATMap = X5_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(X0_vMapConf,vqseq(X1_vQuestionnaire,X0_vQuestionnaire),vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_281124,c_77]) ).
tcf(c_281144,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X2_vATMap = X4_vATMap )
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_96]) ).
tcf(c_281145,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( sK45(X0_vMapConf) = X4_vATMap )
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_96]) ).
tcf(c_281150,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X2_vATMap = X4_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(X0_vMapConf,vqseq(X1_vQuestionnaire,X0_vQuestionnaire),vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_281144,c_77]) ).
tcf(c_281163,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,vMC(sK54(X3_vATMap,X2_vATMap,X1_vQuestionnaire),sK55(X3_vATMap,X2_vATMap,X1_vQuestionnaire)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_97]) ).
tcf(c_281176,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(sK56(X1_vATMap,X0_vQuestionnaire,X0_vATMap),sK57(X1_vATMap,X0_vQuestionnaire,X0_vATMap)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_98]) ).
tcf(c_281190,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)))
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,X0_vMapConf)
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_99]) ).
tcf(c_281193,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf)
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,X0_vMapConf)
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_281190,c_77]) ).
tcf(c_281220,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,vqempty,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_105]) ).
tcf(c_281221,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqempty,X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_105]) ).
tcf(c_281230,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK45(X0_vMapConf) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,vqempty,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_106]) ).
tcf(c_281231,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK45(X0_vMapConf) = X0_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqempty,X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_106]) ).
tcf(c_281236,plain,
! [X0_vMapConf: vMapConf] : vptcheck(X0_vMapConf,vqempty,X0_vMapConf),
inference(superposition,[status(thm)],[c_77,c_107]) ).
tcf(c_281346,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_131,c_112]) ).
tcf(c_281347,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_131,c_111]) ).
tcf(c_281348,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vsubop )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_131,c_110]) ).
tcf(c_281399,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_132,c_112]) ).
tcf(c_281400,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_132,c_111]) ).
tcf(c_281401,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_132,c_110]) ).
tcf(c_281452,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_133,c_112]) ).
tcf(c_281453,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_133,c_111]) ).
tcf(c_281454,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP5(X0_vBinOpT,X0_vAval,X1_vAval)
| sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_133,c_110]) ).
tcf(c_281494,plain,
! [X0_vExp: vExp] : vsomeExp(sK74(vsomeExp(X0_vExp))) = vsomeExp(X0_vExp),
inference(superposition,[status(thm)],[c_136,c_135]) ).
tcf(c_281508,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeAM(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap)) = vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)),
inference(superposition,[status(thm)],[c_266,c_87]) ).
tcf(c_281521,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] : vtypeAM(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap)) = vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)),
inference(superposition,[status(thm)],[c_267,c_87]) ).
tcf(c_281522,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeAM(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap)) = vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)),
inference(superposition,[status(thm)],[c_268,c_87]) ).
tcf(c_281551,plain,
! [X0_vOptExp: vOptExp] :
( ( X0_vOptExp = vnoExp )
| ( vsomeExp(sK74(X0_vOptExp)) = X0_vOptExp ) ),
inference(superposition,[status(thm)],[c_336,c_135]) ).
tcf(c_281687,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != vaempty ) ),
inference(superposition,[status(thm)],[c_85,c_237]) ).
tcf(c_281715,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vatmempty,
inference(superposition,[status(thm)],[c_87,c_256]) ).
tcf(c_281717,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) != vatmempty ) ),
inference(superposition,[status(thm)],[c_90,c_256]) ).
tcf(c_281776,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP14(X0_vBinOpT,X0_vAType,X1_vAType)
| sP13(X0_vBinOpT,X0_vAType,X1_vAType)
| sP12(X0_vBinOpT,X0_vAType,X1_vAType)
| sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vaddop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_183,c_141]) ).
tcf(c_281779,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP14(X0_vBinOpT,X0_vAType,X1_vAType)
| sP13(X0_vBinOpT,X0_vAType,X1_vAType)
| sP12(X0_vBinOpT,X0_vAType,X1_vAType)
| sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = vsubop ) ),
inference(superposition,[status(thm)],[c_183,c_138]) ).
tcf(c_281847,plain,
! [X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( ( X1_vBinOpT = vltop )
| ( X1_vBinOpT = vaddop )
| ( X1_vBinOpT = veqop )
| ( X1_vBinOpT = vorop )
| ( X1_vBinOpT = vmulop )
| ( X1_vBinOpT = vdivop )
| ( X1_vBinOpT = vandop )
| ( X1_vBinOpT = vsubop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop )
| ( X0_vBinOpT = X1_vBinOpT ) ),
inference(superposition,[status(thm)],[c_221,c_221]) ).
tcf(c_281848,plain,
! [X0_vBinOpT: vBinOpT] :
( ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop )
| ( vcheckBinOp(X0_vBinOpT,vNumber,vNumber) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_221,c_291]) ).
tcf(c_281889,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( sK47(X1_vAnsMap) = X0_vQID )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_222]) ).
tcf(c_281890,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK47(X1_vAnsMap) = X0_vQID )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_222]) ).
tcf(c_281904,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( sK48(X1_vAnsMap) = X0_vAval )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_223]) ).
tcf(c_281905,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK48(X1_vAnsMap) = X0_vAval )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_223]) ).
tcf(c_281913,plain,
! [X0_vExp: vExp] : vgetExp(vsomeExp(X0_vExp)) = sK74(vsomeExp(X0_vExp)),
inference(superposition,[status(thm)],[c_281494,c_453]) ).
tcf(c_281915,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK74(vsomeExp(X0_vExp)) = X1_vExp )
| ( vsomeExp(X0_vExp) != vsomeExp(X1_vExp) ) ),
inference(superposition,[status(thm)],[c_281494,c_137]) ).
tcf(c_281917,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK74(vsomeExp(X1_vExp)) = X0_vExp )
| ( vsomeExp(X0_vExp) != vsomeExp(X1_vExp) ) ),
inference(superposition,[status(thm)],[c_281494,c_137]) ).
tcf(c_281918,plain,
! [X0_vExp: vExp] : sK74(vsomeExp(X0_vExp)) = X0_vExp,
inference(light_normalisation,[status(thm)],[c_281913,c_453]) ).
tcf(c_281930,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( sK49(X1_vAnsMap) = X0_vAnsMap )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_224]) ).
tcf(c_281931,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK49(X1_vAnsMap) = X0_vAnsMap )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_224]) ).
tcf(c_281947,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != vqmempty ) ),
inference(superposition,[status(thm)],[c_91,c_281]) ).
tcf(c_281967,plain,
! [X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( vsomeAval(sK125(X0_vOptAval)) = X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_348,c_353]) ).
tcf(c_281968,plain,
! [X0_vAval: vAval] : vsomeAval(sK125(vsomeAval(X0_vAval))) = vsomeAval(X0_vAval),
inference(superposition,[status(thm)],[c_354,c_353]) ).
tcf(c_281991,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_233,c_228]) ).
tcf(c_281992,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_233,c_227]) ).
tcf(c_281993,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_233,c_226]) ).
tcf(c_281994,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_233,c_225]) ).
tcf(c_282013,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( X0_vAnsMap = vaempty )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_234,c_228]) ).
tcf(c_282014,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( X0_vAnsMap = vaempty )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_234,c_227]) ).
tcf(c_282015,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( X0_vAnsMap = vaempty )
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_234,c_226]) ).
tcf(c_282016,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( X0_vAnsMap = vaempty )
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_234,c_225]) ).
tcf(c_282035,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_235,c_228]) ).
tcf(c_282036,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_235,c_227]) ).
tcf(c_282037,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval ) ),
inference(superposition,[status(thm)],[c_235,c_226]) ).
tcf(c_282038,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( sP23(X0_vQID,X0_vAnsMap)
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval ) ),
inference(superposition,[status(thm)],[c_235,c_225]) ).
tcf(c_282055,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK146(X0_vOptAType)) = X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_398,c_399]) ).
tcf(c_282056,plain,
! [X0_vAType: vAType] : vsomeAType(sK146(vsomeAType(X0_vAType))) = vsomeAType(X0_vAType),
inference(superposition,[status(thm)],[c_400,c_399]) ).
tcf(c_282067,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK91(X1_vAnsMap) = X0_vAnsMap )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_224]) ).
tcf(c_282068,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK90(X1_vAnsMap) = X0_vAval )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_223]) ).
tcf(c_282069,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK89(X1_vAnsMap) = X0_vQID )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_222]) ).
tcf(c_282083,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X1_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_87,c_239]) ).
tcf(c_282084,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_92,c_239]) ).
tcf(c_282085,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_90,c_239]) ).
tcf(c_282095,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(vtypeOf(X0_vAval)),
inference(superposition,[status(thm)],[c_87,c_240]) ).
tcf(c_282096,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(X0_vQMap))) = vsomeAType(sK52(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_92,c_240]) ).
tcf(c_282097,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(X0_vQMap))) = vsomeAType(sK52(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_90,c_240]) ).
tcf(c_282112,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_87,c_241]) ).
tcf(c_282113,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_241]) ).
tcf(c_282114,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_241]) ).
tcf(c_282131,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeOf(X0_vAval) = X0_vAType )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_87,c_242]) ).
tcf(c_282132,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_242]) ).
tcf(c_282133,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_242]) ).
tcf(c_282150,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeAM(X0_vAnsMap) = X0_vATMap )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_87,c_243]) ).
tcf(c_282151,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_243]) ).
tcf(c_282152,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK53(X0_vQMap)) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_243]) ).
tcf(c_282182,plain,
! [X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(sK155(X0_vExp)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_417,c_418]) ).
tcf(c_282183,plain,
! [X0_vAval: vAval] : vconstant(sK155(vconstant(X0_vAval))) = vconstant(X0_vAval),
inference(superposition,[status(thm)],[c_420,c_418]) ).
tcf(c_282186,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK155(vconstant(X1_vAval)) = X0_vAval )
| ( vconstant(X0_vAval) != vconstant(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_282183,c_52]) ).
tcf(c_282193,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK155(vconstant(X0_vAval)) = X1_vAval )
| ( vconstant(X0_vAval) != vconstant(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_282183,c_52]) ).
tcf(c_282214,plain,
! [X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(sK156(X0_vExp)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_417,c_419]) ).
tcf(c_282215,plain,
! [X0_vAval: vAval] : vconstant(sK156(vconstant(X0_vAval))) = vconstant(X0_vAval),
inference(superposition,[status(thm)],[c_420,c_419]) ).
tcf(c_282219,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK156(vconstant(X1_vAval)) = X0_vAval )
| ( vconstant(X0_vAval) != vconstant(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_282215,c_52]) ).
tcf(c_282227,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK156(vconstant(X0_vAval)) = X1_vAval )
| ( vconstant(X0_vAval) != vconstant(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_282215,c_52]) ).
tcf(c_282246,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_252,c_247]) ).
tcf(c_282247,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_252,c_246]) ).
tcf(c_282248,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_252,c_245]) ).
tcf(c_282249,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_252,c_244]) ).
tcf(c_282266,plain,
! [X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( vsomeQConf(sK167(X0_vOptQConf)) = X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_433,c_454]) ).
tcf(c_282267,plain,
! [X0_vQConf: vQConf] : vsomeQConf(sK167(vsomeQConf(X0_vQConf))) = vsomeQConf(X0_vQConf),
inference(superposition,[status(thm)],[c_455,c_454]) ).
tcf(c_282276,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( X0_vATMap = vatmempty )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_253,c_247]) ).
tcf(c_282277,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( X0_vATMap = vatmempty )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_253,c_246]) ).
tcf(c_282278,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( X0_vATMap = vatmempty )
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_253,c_245]) ).
tcf(c_282279,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( X0_vATMap = vatmempty )
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_253,c_244]) ).
tcf(c_282298,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_254,c_247]) ).
tcf(c_282299,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_254,c_246]) ).
tcf(c_282300,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_254,c_245]) ).
tcf(c_282301,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( sP25(X0_vQID,X0_vATMap)
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_254,c_244]) ).
tcf(c_282321,plain,
! [X0_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( vecheck(X0_vATMap,vqvar(sK101(X0_vATMap))) = vsomeAType(sK102(X0_vATMap)) ) ),
inference(superposition,[status(thm)],[c_257,c_240]) ).
tcf(c_282322,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(sK103(X0_vATMap),vqvar(X0_vQID)) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_257,c_239]) ).
tcf(c_282324,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( sK103(X1_vATMap) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_243]) ).
tcf(c_282325,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( sK102(X1_vATMap) = X0_vAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_242]) ).
tcf(c_282326,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( sK101(X1_vATMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_241]) ).
tcf(c_282341,plain,
! [X0_vQConf: vQConf,X1_vQConf: vQConf] :
( ( sK167(vsomeQConf(X1_vQConf)) = X0_vQConf )
| ( vsomeQConf(X0_vQConf) != vsomeQConf(X1_vQConf) ) ),
inference(superposition,[status(thm)],[c_282267,c_68]) ).
tcf(c_282343,plain,
! [X0_vQConf: vQConf,X1_vQConf: vQConf] :
( ( sK167(vsomeQConf(X0_vQConf)) = X1_vQConf )
| ( vsomeQConf(X0_vQConf) != vsomeQConf(X1_vQConf) ) ),
inference(superposition,[status(thm)],[c_282267,c_68]) ).
tcf(c_282350,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) != vatmempty ) ),
inference(superposition,[status(thm)],[c_83,c_281715]) ).
tcf(c_282360,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval] :
( ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vconstant(X0_vAval)) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_258,c_307]) ).
tcf(c_282361,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_258,c_363]) ).
tcf(c_282362,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_258,c_362]) ).
tcf(c_282379,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_362]) ).
tcf(c_282382,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vconstant(X0_vAval)) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_259,c_109]) ).
tcf(c_282383,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_69]) ).
tcf(c_282384,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( sK105(X0_vAval) = X0_vnat )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_134]) ).
tcf(c_282404,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vconstant(X0_vAval)) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_260,c_307]) ).
tcf(c_282405,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_260,c_363]) ).
tcf(c_282406,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_260,c_362]) ).
tcf(c_282431,plain,
! [X0_vAval: vAval] :
( ( vB(vyes) = X0_vAval )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_81,c_261]) ).
tcf(c_282432,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(X0_vATMap,vconstant(X0_vAval)) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_261,c_308]) ).
tcf(c_282433,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_363]) ).
tcf(c_282434,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_261,c_268]) ).
tcf(c_282436,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_69]) ).
tcf(c_282437,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_70]) ).
tcf(c_282464,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vconstant(X0_vAval)) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_262,c_307]) ).
tcf(c_282465,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_262,c_363]) ).
tcf(c_282466,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_262,c_362]) ).
tcf(c_282483,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_362]) ).
tcf(c_282486,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vecheck(X0_vATMap,vconstant(X0_vAval)) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_263,c_109]) ).
tcf(c_282487,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_69]) ).
tcf(c_282488,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( sK105(X0_vAval) = X0_vnat )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_134]) ).
tcf(c_282508,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( X0_vQMap = vqmempty )
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_278,c_270]) ).
tcf(c_282525,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(X0_vATMap,vconstant(X0_vAval)) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_264,c_307]) ).
tcf(c_282526,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_264,c_363]) ).
tcf(c_282527,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_264,c_362]) ).
tcf(c_282542,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( X0_vQMap = vqmempty )
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_278,c_269]) ).
tcf(c_282550,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( X0_vQMap = vqmempty )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_278,c_271]) ).
tcf(c_282558,plain,
! [X0_vOptExp: vOptExp] :
( ( X0_vOptExp = vnoExp )
| ( sK74(X0_vOptExp) = sK123(X0_vOptExp) ) ),
inference(superposition,[status(thm)],[c_339,c_281918]) ).
tcf(c_282559,plain,
! [X0_vOptExp: vOptExp] :
( ( X0_vOptExp = vnoExp )
| ( vgetExp(X0_vOptExp) = sK123(X0_vOptExp) ) ),
inference(superposition,[status(thm)],[c_339,c_453]) ).
tcf(c_282563,plain,
! [X0_vExp: vExp,X0_vOptExp: vOptExp] :
( ( X0_vOptExp = vnoExp )
| ( sK123(X0_vOptExp) = X0_vExp )
| ( vsomeExp(X0_vExp) != X0_vOptExp ) ),
inference(superposition,[status(thm)],[c_339,c_137]) ).
tcf(c_282582,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( X0_vQMap = vqmempty )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_278,c_272]) ).
tcf(c_282594,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vlookupAnsMap(sK47(X0_vAnsMap),X0_vAnsMap) = vsomeAval(sK48(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_85,c_352]) ).
tcf(c_282595,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vlookupAnsMap(sK47(X0_vAnsMap),X0_vAnsMap) = vsomeAval(sK48(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_83,c_352]) ).
tcf(c_282596,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vlookupAnsMap(sK89(X0_vAnsMap),X0_vAnsMap) = vsomeAval(sK90(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_238,c_352]) ).
tcf(c_282613,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_277,c_272]) ).
tcf(c_282614,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_277,c_271]) ).
tcf(c_282615,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_277,c_269]) ).
tcf(c_282616,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_277,c_270]) ).
tcf(c_282635,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_279,c_272]) ).
tcf(c_282636,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_279,c_271]) ).
tcf(c_282637,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion ) ),
inference(superposition,[status(thm)],[c_279,c_269]) ).
tcf(c_282638,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( sP27(X0_vQID,X0_vQMap)
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion ) ),
inference(superposition,[status(thm)],[c_279,c_270]) ).
tcf(c_282658,plain,
! [X0_vQConf: vQConf,X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( sK162(X0_vOptQConf) = X0_vQConf )
| ( vsomeQConf(X0_vQConf) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_436,c_68]) ).
tcf(c_282667,plain,
! [X0_vOptExp: vOptExp] :
( ( X0_vOptExp = vnoExp )
| ( vgetExp(X0_vOptExp) = sK74(X0_vOptExp) ) ),
inference(superposition,[status(thm)],[c_281551,c_453]) ).
tcf(c_282671,plain,
! [X0_vExp: vExp,X0_vOptExp: vOptExp] :
( ( X0_vOptExp = vnoExp )
| ( sK74(X0_vOptExp) = X0_vExp )
| ( vsomeExp(X0_vExp) != X0_vOptExp ) ),
inference(superposition,[status(thm)],[c_281551,c_137]) ).
tcf(c_282682,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vatmbind(sK118(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282,c_93]) ).
tcf(c_282685,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_91,c_283]) ).
tcf(c_282686,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_89,c_283]) ).
tcf(c_282687,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_282,c_283]) ).
tcf(c_282688,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283,c_82]) ).
tcf(c_282689,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283,c_78]) ).
tcf(c_282691,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQConf(sK167(vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap),
inference(superposition,[status(thm)],[c_283,c_282267]) ).
tcf(c_282692,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vnoQConf,
inference(superposition,[status(thm)],[c_283,c_435]) ).
tcf(c_282693,plain,
! [X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty) = X0_vQConf )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_283,c_68]) ).
tcf(c_282694,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : visSomeQC(vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap)),
inference(superposition,[status(thm)],[c_283,c_455]) ).
tcf(c_282703,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_282689,c_93]) ).
tcf(c_282707,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_282688,c_93]) ).
tcf(c_282718,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(X0_vQID,sK53(X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_91,c_284]) ).
tcf(c_282719,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,sK53(X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_89,c_284]) ).
tcf(c_282720,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,sK121(X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282,c_284]) ).
tcf(c_282737,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_91,c_285]) ).
tcf(c_282738,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQuestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_89,c_285]) ).
tcf(c_282739,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQuestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282,c_285]) ).
tcf(c_282754,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( sK50(X1_vQMap) = X0_vQID )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_286]) ).
tcf(c_282755,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK50(X1_vQMap) = X0_vQID )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_286]) ).
tcf(c_282756,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK118(X1_vQMap) = X0_vQID )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_286]) ).
tcf(c_282774,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( sK51(X1_vQMap) = X0_vLabel )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_287]) ).
tcf(c_282775,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK51(X1_vQMap) = X0_vLabel )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_287]) ).
tcf(c_282776,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK119(X1_vQMap) = X0_vLabel )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_287]) ).
tcf(c_282791,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmempty ) ),
inference(superposition,[status(thm)],[c_93,c_281717]) ).
tcf(c_282805,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( sK52(X1_vQMap) = X0_vAType )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_288]) ).
tcf(c_282806,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X1_vQMap) = X0_vAType )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_288]) ).
tcf(c_282807,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK120(X1_vQMap) = X0_vAType )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_288]) ).
tcf(c_282825,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( sK53(X1_vQMap) = X0_vQMap )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_289]) ).
tcf(c_282826,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK53(X1_vQMap) = X0_vQMap )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_289]) ).
tcf(c_282827,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK121(X1_vQMap) = X0_vQMap )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_289]) ).
tcf(c_282843,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( sK146(vsomeAType(X0_vAType)) = X1_vAType )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_282056,c_298]) ).
tcf(c_282844,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vOptAType = vnoAType )
| ( sK122(X0_vOptAType) = X0_vAType )
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_298]) ).
tcf(c_282845,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( sK146(vsomeAType(X1_vAType)) = X0_vAType )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_282056,c_298]) ).
tcf(c_282867,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vOptAType = vnoAType )
| ( sK146(X0_vOptAType) = X0_vAType )
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_298]) ).
tcf(c_282875,plain,
vecheck(vtypeAM(sK36),vconstant(vB(vno))) = vsomeAType(vYesNo),
inference(superposition,[status(thm)],[c_50,c_300]) ).
tcf(c_282877,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vYesNo) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_300]) ).
tcf(c_282887,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(X0_vAType) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_301]) ).
tcf(c_282900,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vnat: vnat,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(vNum(X0_vnat)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vNumber) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_109,c_302]) ).
tcf(c_282901,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vQID = X1_vQID )
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_239,c_302]) ).
tcf(c_282902,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_240,c_302]) ).
tcf(c_282903,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_255,c_302]) ).
tcf(c_282904,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vstring: vstring,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(vT(X0_vstring)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_307,c_302]) ).
tcf(c_282905,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(vB(X0_vYN)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_308,c_302]) ).
tcf(c_282936,plain,
! [X0_vQConf: vQConf,X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( sK167(X0_vOptQConf) = X0_vQConf )
| ( vsomeQConf(X0_vQConf) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_282266,c_68]) ).
tcf(c_282952,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_109,c_303]) ).
tcf(c_282953,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X1_vQID,X1_vAType,vqvar(X2_vQID))),vMC(vatmbind(X1_vQID,X1_vAType,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X2_vQID )
| ( vecheck(X0_vATMap,vqvar(X2_vQID)) != vsomeAType(X1_vAType) )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X1_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_303]) ).
tcf(c_282954,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X1_vQID,X1_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X1_vAType,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X1_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_240,c_303]) ).
tcf(c_282956,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_307,c_303]) ).
tcf(c_282957,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_308,c_303]) ).
tcf(c_282958,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),X0_vATMap),X1_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,X0_vExp) != X0_vOptAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_299,c_303]) ).
tcf(c_282959,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),X0_vATMap),X1_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,X0_vExp) != X0_vOptAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282055,c_303]) ).
tcf(c_282960,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,sK146(vsomeAType(X0_vAType)),X0_vExp)),vMC(vatmbind(X0_vQID,sK146(vsomeAType(X0_vAType)),X0_vATMap),X1_vATMap))
| ( vecheck(X0_vATMap,X0_vExp) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282056,c_303]) ).
tcf(c_282997,plain,
! [X0_vATMap: vATMap,X0_vnat: vnat,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vNumber))
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(vNum(X0_vnat)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_109,c_304]) ).
tcf(c_282998,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_304]) ).
tcf(c_283000,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_255,c_304]) ).
tcf(c_283001,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vText))
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(vT(X0_vstring)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_307,c_304]) ).
tcf(c_283002,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vYesNo))
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(vB(X0_vYN)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_308,c_304]) ).
tcf(c_283003,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_304,c_399]) ).
tcf(c_283004,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vqvar(X0_vQID))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283000,c_401]) ).
tcf(c_283014,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vnat: vnat,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vNumber))
| ( vecheck(X0_vATMap,vbinop(vconstant(vNum(X0_vnat)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_109,c_305]) ).
tcf(c_283015,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_305]) ).
tcf(c_283017,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_255,c_305]) ).
tcf(c_283018,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vecheck(X0_vATMap,vbinop(vconstant(vT(X0_vstring)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_307,c_305]) ).
tcf(c_283019,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vYesNo))
| ( vecheck(X0_vATMap,vbinop(vconstant(vB(X0_vYN)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_308,c_305]) ).
tcf(c_283020,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_305,c_399]) ).
tcf(c_283021,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283017,c_401]) ).
tcf(c_283027,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283004,c_305]) ).
tcf(c_283028,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283004,c_304]) ).
tcf(c_283030,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283004,c_302]) ).
tcf(c_283031,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283028,c_401]) ).
tcf(c_283032,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283027,c_401]) ).
tcf(c_283042,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vnat: vnat,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vNumber))
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(vNum(X0_vnat)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_109,c_306]) ).
tcf(c_283043,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_306]) ).
tcf(c_283045,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_255,c_306]) ).
tcf(c_283046,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(vT(X0_vstring)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_307,c_306]) ).
tcf(c_283047,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vYesNo))
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(vB(X0_vYN)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_308,c_306]) ).
tcf(c_283048,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283004,c_306]) ).
tcf(c_283049,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X1_vExp))) = vecheck(X0_vATMap,X1_vExp) )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_306,c_399]) ).
tcf(c_283050,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283045,c_401]) ).
tcf(c_283051,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283048,c_401]) ).
tcf(c_283064,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_332,c_135]) ).
tcf(c_283075,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_333,c_135]) ).
tcf(c_283085,plain,
! [X0_vOptExp: vOptExp] :
( ( X0_vOptExp = vnoExp )
| ( vsomeExp(vgetExp(X0_vOptExp)) = X0_vOptExp ) ),
inference(superposition,[status(thm)],[c_282559,c_339]) ).
tcf(c_283103,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X0_vAnsMap))
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_417,c_334]) ).
tcf(c_283104,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( vexpIsValue(X0_vExp)
| visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_420,c_334]) ).
tcf(c_283117,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_347]) ).
tcf(c_283128,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK125(vsomeAval(X0_vAval)) = X1_vAval )
| ( vsomeAval(X0_vAval) != vsomeAval(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_281968,c_355]) ).
tcf(c_283129,plain,
! [X0_vAval: vAval,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( sK124(X0_vOptAval) = X0_vAval )
| ( vsomeAval(X0_vAval) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_351,c_355]) ).
tcf(c_283130,plain,
! [X0_vAval: vAval,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( sK125(X0_vOptAval) = X0_vAval )
| ( vsomeAval(X0_vAval) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_281967,c_355]) ).
tcf(c_283131,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK125(vsomeAval(X1_vAval)) = X0_vAval )
| ( vsomeAval(X0_vAval) != vsomeAval(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_281968,c_355]) ).
tcf(c_283143,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283021,c_305]) ).
tcf(c_283144,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283021,c_304]) ).
tcf(c_283146,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283021,c_302]) ).
tcf(c_283147,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283021,c_306]) ).
tcf(c_283148,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283144,c_401]) ).
tcf(c_283149,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283147,c_401]) ).
tcf(c_283150,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283143,c_401]) ).
tcf(c_283151,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283050,c_305]) ).
tcf(c_283152,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283050,c_304]) ).
tcf(c_283154,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283050,c_302]) ).
tcf(c_283155,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283050,c_306]) ).
tcf(c_283156,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283152,c_401]) ).
tcf(c_283157,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283155,c_401]) ).
tcf(c_283158,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283151,c_401]) ).
tcf(c_283163,plain,
! [X0_vQID: vQID] :
( visSomeAval(vnoAval)
| ( vreduceExp(vqvar(X0_vQID),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_236,c_356]) ).
tcf(c_283165,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vreduceExp(vqvar(X0_vQID),X0_vAnsMap) = vnoExp )
| ( vsomeAval(sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap))) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_356,c_353]) ).
tcf(c_283166,plain,
! [X0_vQID: vQID] : vreduceExp(vqvar(X0_vQID),vaempty) = vnoExp,
inference(forward_subsumption_resolution,[status(thm)],[c_283163,c_349]) ).
tcf(c_283174,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK47(X0_vAnsMap) = X0_vQID )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vlookupAnsMap(X0_vQID,sK49(X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_85,c_357]) ).
tcf(c_283175,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,sK49(X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_83,c_357]) ).
tcf(c_283176,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,sK91(X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_238,c_357]) ).
tcf(c_283177,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( visSomeAval(vlookupAnsMap(X0_vQID,X0_vAnsMap))
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_357,c_356]) ).
tcf(c_283197,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_239,c_358]) ).
tcf(c_283198,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X1_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_240,c_358]) ).
tcf(c_283200,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK122(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_358]) ).
tcf(c_283201,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK146(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_358]) ).
tcf(c_283202,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,sK146(vsomeAType(X0_vAType)),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282056,c_358]) ).
tcf(c_283223,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283166,c_333]) ).
tcf(c_283224,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vunop(X0_vUnOpT,vqvar(X0_vQID)),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283166,c_332]) ).
tcf(c_283225,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT] :
( vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vunop(X0_vUnOpT,vqvar(X0_vQID)),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283224,c_337]) ).
tcf(c_283228,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283223,c_337]) ).
tcf(c_283239,plain,
! [X0_vExp: vExp,X0_vOptExp: vOptExp] :
( ( X0_vOptExp = vnoExp )
| ( vgetExp(X0_vOptExp) = X0_vExp )
| ( vsomeExp(X0_vExp) != X0_vOptExp ) ),
inference(superposition,[status(thm)],[c_283085,c_137]) ).
tcf(c_283248,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( ( vsomeAType(sK126(X1_vATMap,X0_vQID)) = vecheck(X1_vATMap,vqvar(X0_vQID)) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_359]) ).
tcf(c_283259,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_360]) ).
tcf(c_283270,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X1_vATMap),vatmbind(X1_vQID,X1_vAType,X0_vATMap)))
| ( X0_vQID = X1_vQID )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_239,c_361]) ).
tcf(c_283271,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X1_vAType,X0_vATMap),vatmbind(X0_vQID,X0_vAType,X1_vATMap)))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_240,c_361]) ).
tcf(c_283273,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),X1_vATMap),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_361]) ).
tcf(c_283274,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),X1_vATMap),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_361]) ).
tcf(c_283275,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(vsomeAType(X0_vAType)),X1_vATMap),X0_vATMap))
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282056,c_361]) ).
tcf(c_283304,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_264,c_364]) ).
tcf(c_283305,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_262,c_364]) ).
tcf(c_283306,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_260,c_364]) ).
tcf(c_283307,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_258,c_364]) ).
tcf(c_283332,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval] :
( ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vconstant(X0_vAval)) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_365,c_307]) ).
tcf(c_283333,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_363]) ).
tcf(c_283334,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_362]) ).
tcf(c_283335,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_266]) ).
tcf(c_283336,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK129(X0_vAval) = X0_vstring )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_364]) ).
tcf(c_283360,plain,
! [X0_vAType: vAType] :
( ( vsomeAType(X0_vAType) = vsomeAType(vText) )
| ( sK146(vsomeAType(X0_vAType)) = vYesNo )
| ( sK146(vsomeAType(X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_282056]) ).
tcf(c_283361,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( vsomeAType(vText) = X0_vOptAType )
| ( sK146(X0_vOptAType) = vYesNo )
| ( sK146(X0_vOptAType) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_282055]) ).
tcf(c_283362,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( vsomeAType(vText) = X0_vOptAType )
| ( sK122(X0_vOptAType) = vYesNo )
| ( sK122(X0_vOptAType) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_299]) ).
tcf(c_283363,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),vText,sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_368,c_282]) ).
tcf(c_283366,plain,
! [X0_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( vatmbind(sK101(X0_vATMap),vText,sK103(X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_368,c_257]) ).
tcf(c_283374,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_368,c_92]) ).
tcf(c_283375,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),vText,sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_368,c_91]) ).
tcf(c_283376,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_368,c_90]) ).
tcf(c_283377,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),vText,sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_368,c_89]) ).
tcf(c_283378,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_368,c_87]) ).
tcf(c_283379,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vAType = X1_vAType ) ),
inference(superposition,[status(thm)],[c_368,c_368]) ).
tcf(c_283429,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK131(X0_vOptQuestion),sK132(X0_vOptQuestion)) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_374,c_369]) ).
tcf(c_283430,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType),
inference(superposition,[status(thm)],[c_370,c_369]) ).
tcf(c_283462,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK134(X0_vOptQuestion),vText) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_368,c_377]) ).
tcf(c_283468,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = X0_vAType )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_377,c_373]) ).
tcf(c_283469,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK134(X0_vOptQuestion) = X0_vLabel )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_377,c_372]) ).
tcf(c_283470,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK133(X0_vOptQuestion) = X0_vQID )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_377,c_371]) ).
tcf(c_283488,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeQuestion(vnoQuestion)
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmempty) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_280,c_378]) ).
tcf(c_283489,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeQuestion(vlookupQMap(X0_vQID,X0_vQMap))
| ( X0_vQID = X1_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X1_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284,c_378]) ).
tcf(c_283491,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),sK132(vlookupQMap(X0_vQID,X0_vQMap))) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_378,c_369]) ).
tcf(c_283492,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmempty) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_283488,c_375]) ).
tcf(c_283502,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,sK46(X0_vMapConf)) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_379]) ).
tcf(c_283503,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X1_vATMap) = sK46(X0_vMapConf) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_379]) ).
tcf(c_283516,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( sK45(X0_vMapConf) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_380]) ).
tcf(c_283517,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( sK45(X0_vMapConf) = X0_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_380]) ).
tcf(c_283527,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vecheck(X1_vATMap,vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_381]) ).
tcf(c_283536,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(X1_vATMap,vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,X0_vATMap))))
| ( X0_vQID = X1_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_382]) ).
tcf(c_283538,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vptcheck(vMC(X0_vATMap,vatmempty),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,vatmempty))),
inference(superposition,[status(thm)],[c_255,c_382]) ).
tcf(c_283553,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK154(X1_vExp) = X1_vExp )
| ( sK154(X0_vExp) != X1_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_416]) ).
tcf(c_283554,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X2_vExp: vExp] :
( ( sK154(X2_vExp) = X2_vExp )
| ( vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != X2_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_410]) ).
tcf(c_283555,plain,
! [X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( sK154(X1_vExp) = X1_vExp )
| ( vunop(X0_vUnOpT,X0_vExp) != X1_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_405]) ).
tcf(c_283556,plain,
! [X0_vExp: vExp,X0_vQID: vQID] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vqvar(X0_vQID) != X0_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_414]) ).
tcf(c_283557,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282182,c_335]) ).
tcf(c_283559,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( ( sK155(X0_vExp) = X0_vAval )
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(X0_vAval) != X0_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_52]) ).
tcf(c_283601,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( ( sK156(X0_vExp) = X0_vAval )
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(X0_vAval) != X0_vExp ) ),
inference(superposition,[status(thm)],[c_282214,c_52]) ).
tcf(c_283605,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283031,c_305]) ).
tcf(c_283606,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283031,c_304]) ).
tcf(c_283608,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vUnOpT: vUnOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283031,c_302]) ).
tcf(c_283609,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283031,c_306]) ).
tcf(c_283610,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283606,c_401]) ).
tcf(c_283611,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283609,c_401]) ).
tcf(c_283612,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),X0_vBinOpT,X0_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_283605,c_401]) ).
tcf(c_283621,plain,
! [X0_vEntry: vEntry] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry ) ),
inference(superposition,[status(thm)],[c_368,c_389]) ).
tcf(c_283622,plain,
! [X0_vEntry: vEntry,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType] :
( ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( vvalue(X0_vQID,X0_vAType,X0_vExp) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_394]) ).
tcf(c_283623,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_385]) ).
tcf(c_283624,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID] :
( ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( vask(X0_vQID) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_422]) ).
tcf(c_283651,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_390]) ).
tcf(c_283652,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_390]) ).
tcf(c_283661,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,sK45(X0_vMapConf)) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_391]) ).
tcf(c_283662,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = sK45(X0_vMapConf) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_391]) ).
tcf(c_283671,plain,
! [X0_vQID: vQID] : sK154(vqvar(X0_vQID)) = vqvar(X0_vQID),
inference(equality_resolution,[status(thm)],[c_283556]) ).
tcf(c_283680,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X1_vQID))
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283166,c_392]) ).
tcf(c_283681,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_392,c_135]) ).
tcf(c_283682,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vexpIsValue(vqvar(X1_vQID))
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283680,c_337]) ).
tcf(c_283720,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_336,c_402]) ).
tcf(c_283721,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_392,c_402]) ).
tcf(c_283722,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_333,c_402]) ).
tcf(c_283723,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_332,c_402]) ).
tcf(c_283768,plain,
! [X0_vExp: vExp] :
( ( sK150(X0_vExp) = vltop )
| ( sK150(X0_vExp) = vaddop )
| ( sK150(X0_vExp) = veqop )
| ( sK150(X0_vExp) = vorop )
| ( sK150(X0_vExp) = vmulop )
| ( sK150(X0_vExp) = vdivop )
| ( sK150(X0_vExp) = vandop )
| ( sK150(X0_vExp) = vsubop )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( vbinop(sK149(X0_vExp),vgtop,sK151(X0_vExp)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_221,c_408]) ).
tcf(c_283769,plain,
! [X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( vqvar(sK148(X1_vExp)) = X1_vExp )
| ( vconstant(sK147(X1_vExp)) = X1_vExp )
| ( vunop(sK152(X1_vExp),sK153(X1_vExp)) = X1_vExp )
| ( vunop(X0_vUnOpT,X0_vExp) != X1_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_403]) ).
tcf(c_283770,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( vconstant(X0_vAval) != X0_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_410]) ).
tcf(c_283771,plain,
! [X0_vExp: vExp,X0_vQID: vQID] :
( ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( vqvar(X0_vQID) != X0_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_409]) ).
tcf(c_283804,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X2_vExp: vExp] :
( ( sK149(X2_vExp) = X0_vExp )
| ( vqvar(sK148(X2_vExp)) = X2_vExp )
| ( vconstant(sK147(X2_vExp)) = X2_vExp )
| ( vunop(sK152(X2_vExp),sK153(X2_vExp)) = X2_vExp )
| ( vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != X2_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_411]) ).
tcf(c_283817,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(sK34,sK37,sK32)) != vreduce(vq2,X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_3274,c_82]) ).
tcf(c_283818,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(sK34,sK37,sK32)) != vreduce(vq1,X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_3274,c_78]) ).
tcf(c_283820,plain,
vsomeQConf(sK167(vsomeQConf(vQC(sK34,sK37,sK32)))) = vsomeQConf(vQC(sK34,sK37,sK32)),
inference(superposition,[status(thm)],[c_3274,c_282267]) ).
tcf(c_283821,plain,
vsomeQConf(vQC(sK34,sK37,sK32)) != vnoQConf,
inference(superposition,[status(thm)],[c_3274,c_435]) ).
tcf(c_283822,plain,
! [X0_vQConf: vQConf] :
( ( vQC(sK36,sK33,vq2) = X0_vQConf )
| ( vsomeQConf(vQC(sK34,sK37,sK32)) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_3274,c_68]) ).
tcf(c_283823,plain,
visSomeQC(vsomeQConf(vQC(sK34,sK37,sK32))),
inference(superposition,[status(thm)],[c_3274,c_455]) ).
tcf(c_283838,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X2_vExp: vExp] :
( ( sK150(X2_vExp) = X0_vBinOpT )
| ( vqvar(sK148(X2_vExp)) = X2_vExp )
| ( vconstant(sK147(X2_vExp)) = X2_vExp )
| ( vunop(sK152(X2_vExp),sK153(X2_vExp)) = X2_vExp )
| ( vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != X2_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_412]) ).
tcf(c_283851,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X2_vExp: vExp] :
( ( sK151(X2_vExp) = X1_vExp )
| ( vqvar(sK148(X2_vExp)) = X2_vExp )
| ( vconstant(sK147(X2_vExp)) = X2_vExp )
| ( vunop(sK152(X2_vExp),sK153(X2_vExp)) = X2_vExp )
| ( vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != X2_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_413]) ).
tcf(c_283864,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,vqsingle(vask(X0_vQID)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_421]) ).
tcf(c_283865,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_421]) ).
tcf(c_283888,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vno )
| ( X2_vYN = vno )
| ( X1_vYN = X3_vYN )
| ( X0_vYN = X2_vYN )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_280854]) ).
tcf(c_283889,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vno )
| ( X2_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X3_vYN )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_280854]) ).
tcf(c_283891,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vqcond(vconstant(vB(X1_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_50]) ).
tcf(c_283892,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(vno) = X0_vAval )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_280854,c_261]) ).
tcf(c_283893,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vno ) ),
inference(superposition,[status(thm)],[c_280854,c_81]) ).
tcf(c_283896,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vno )
| ( X2_vYN = X3_vYN )
| ( X1_vYN = vno )
| ( X0_vYN = X2_vYN )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_280854]) ).
tcf(c_283898,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_280854,c_59]) ).
tcf(c_283899,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vqcond(vconstant(vB(X0_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_50]) ).
tcf(c_283908,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_280854,c_261]) ).
tcf(c_283973,plain,
! [X0_vMapConf: vMapConf,X1_vMapConf: vMapConf] :
( ( sK46(X0_vMapConf) = sK46(X1_vMapConf) )
| ( X0_vMapConf != X1_vMapConf ) ),
inference(superposition,[status(thm)],[c_77,c_280989]) ).
tcf(c_283974,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] : sK46(vMC(X0_vATMap,X1_vATMap)) = X1_vATMap,
inference(equality_resolution,[status(thm)],[c_280989]) ).
tcf(c_283985,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_427]) ).
tcf(c_283986,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = vconstant(X0_vAval) )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_427]) ).
tcf(c_283987,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = vqvar(X0_vQID) )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283166,c_427]) ).
tcf(c_283988,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_427,c_135]) ).
tcf(c_283989,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_427,c_402]) ).
tcf(c_283993,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283987,c_337,c_414]) ).
tcf(c_283996,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = vconstant(X0_vAval) )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283986,c_337]) ).
tcf(c_284012,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_283985,c_337]) ).
tcf(c_284038,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_428]) ).
tcf(c_284039,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_428]) ).
tcf(c_284040,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283166,c_428]) ).
tcf(c_284041,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_428,c_135]) ).
tcf(c_284042,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_428,c_402]) ).
tcf(c_284046,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284040,c_337]) ).
tcf(c_284050,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284039,c_337]) ).
tcf(c_284066,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284038,c_337]) ).
tcf(c_284091,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_429]) ).
tcf(c_284092,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_429]) ).
tcf(c_284093,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283166,c_429]) ).
tcf(c_284094,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_429,c_135]) ).
tcf(c_284095,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_429,c_402]) ).
tcf(c_284099,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284093,c_337]) ).
tcf(c_284103,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284092,c_337]) ).
tcf(c_284119,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284091,c_337]) ).
tcf(c_284136,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] : vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap) = vMC(X0_vATMap,X1_vATMap),
inference(superposition,[status(thm)],[c_283974,c_77]) ).
tcf(c_284149,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))
| ( vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_59,c_430]) ).
tcf(c_284150,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))
| ( vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_60,c_430]) ).
tcf(c_284151,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))
| ( vqseq(vqempty,X0_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqseq(vqempty,X0_vQuestionnaire),X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_67,c_430]) ).
tcf(c_284153,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeQC(vnoQConf)
| ( vqsingle(vask(X0_vQID)) = vqempty )
| ( vreduce(vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire),X0_vAnsMap,vqmempty) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283492,c_430]) ).
tcf(c_284154,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = vqempty )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_430,c_454]) ).
tcf(c_284155,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vreduce(vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire),X0_vAnsMap,vqmempty) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_284153,c_434,c_108]) ).
tcf(c_284165,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))
| ( sK161(vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqseq(vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_59,c_431]) ).
tcf(c_284166,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))
| ( sK161(vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqseq(vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_60,c_431]) ).
tcf(c_284167,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))
| ( sK161(vqseq(vqempty,X0_vQuestionnaire),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqseq(vqseq(vqempty,X0_vQuestionnaire),X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_67,c_431]) ).
tcf(c_284168,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vnoQConf)
| ( sK161(vqempty,X0_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqseq(vqempty,X0_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_432,c_431]) ).
tcf(c_284170,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_431,c_454]) ).
tcf(c_284171,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vnoQConf)
| ( sK161(vqempty,X0_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) = vnoQConf ) ),
inference(light_normalisation,[status(thm)],[c_284168,c_67]) ).
tcf(c_284172,plain,
! [X0_vQuestionnaire: vQuestionnaire] : sK161(vqempty,X0_vQuestionnaire) = X0_vQuestionnaire,
inference(forward_subsumption_resolution,[status(thm)],[c_284171,c_434,c_435]) ).
tcf(c_284180,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_437]) ).
tcf(c_284181,plain,
! [X0_vEntry: vEntry,X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_389,c_437]) ).
tcf(c_284182,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_437]) ).
tcf(c_284196,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,sK45(vMC(X0_vATMap,X1_vATMap))) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_391]) ).
tcf(c_284198,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(vMC(X0_vATMap,X1_vATMap)) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_380]) ).
tcf(c_284200,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(vMC(X0_vATMap,X1_vATMap)) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqempty,vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_106]) ).
tcf(c_284202,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap,X6_vATMap: vATMap,X7_vATMap: vATMap] :
( ( X4_vATMap = X6_vATMap )
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,vMC(X6_vATMap,X7_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_96]) ).
tcf(c_284203,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap,X6_vATMap: vATMap,X7_vATMap: vATMap] :
( ( X5_vATMap = X7_vATMap )
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,vMC(X6_vATMap,X7_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_95]) ).
tcf(c_284205,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(vMC(X0_vATMap,X1_vATMap)) = X2_vATMap )
| ( vMC(X0_vATMap,X1_vATMap) != vMC(X2_vATMap,X3_vATMap) ) ),
inference(superposition,[status(thm)],[c_284136,c_75]) ).
tcf(c_284206,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(sK40(X1_vATMap,X0_vQuestionnaire,sK45(vMC(X0_vATMap,X1_vATMap))),sK41(X1_vATMap,X0_vQuestionnaire,sK45(vMC(X0_vATMap,X1_vATMap)))))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_58]) ).
tcf(c_284207,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X1_vQuestionnaire,vMC(sK38(X1_vATMap,sK45(vMC(X0_vATMap,X1_vATMap)),X1_vQuestionnaire),sK39(X1_vATMap,sK45(vMC(X0_vATMap,X1_vATMap)),X1_vQuestionnaire)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_57]) ).
tcf(c_284208,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap,X6_vATMap: vATMap,X7_vATMap: vATMap] :
( ( X4_vATMap = X6_vATMap )
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X1_vQuestionnaire,vMC(X6_vATMap,X7_vATMap))
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_56]) ).
tcf(c_284209,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap,X6_vATMap: vATMap,X7_vATMap: vATMap] :
( ( X5_vATMap = X7_vATMap )
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X1_vQuestionnaire,vMC(X6_vATMap,X7_vATMap))
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_55]) ).
tcf(c_284210,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X2_vATMap = X4_vATMap )
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_54]) ).
tcf(c_284211,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( X3_vATMap = X5_vATMap )
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(sK45(vMC(X0_vATMap,X1_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_53]) ).
tcf(c_284214,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = sK45(vMC(X2_vATMap,X3_vATMap)) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_391]) ).
tcf(c_284216,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(vMC(X2_vATMap,X3_vATMap)) = X0_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_380]) ).
tcf(c_284218,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(vMC(X2_vATMap,X3_vATMap)) = X0_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqempty,vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_106]) ).
tcf(c_284220,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap,X6_vATMap: vATMap,X7_vATMap: vATMap] :
( ( sK45(vMC(X2_vATMap,X3_vATMap)) = X6_vATMap )
| ~ vptcheck(vMC(X4_vATMap,X5_vATMap),X1_vQuestionnaire,vMC(X6_vATMap,X7_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_96]) ).
tcf(c_284223,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(vMC(X2_vATMap,X3_vATMap)) = X0_vATMap )
| ( vMC(X0_vATMap,X1_vATMap) != vMC(X2_vATMap,X3_vATMap) ) ),
inference(superposition,[status(thm)],[c_284136,c_75]) ).
tcf(c_284228,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap,X4_vATMap: vATMap,X5_vATMap: vATMap] :
( ( sK45(vMC(X2_vATMap,X3_vATMap)) = X4_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X4_vATMap,X5_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_54]) ).
tcf(c_284246,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(sK38(X1_vATMap,sK45(vMC(X0_vATMap,X1_vATMap)),X1_vQuestionnaire),sK39(X1_vATMap,sK45(vMC(X0_vATMap,X1_vATMap)),X1_vQuestionnaire)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_284207,c_284136]) ).
tcf(c_284249,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(sK40(X1_vATMap,X0_vQuestionnaire,sK45(vMC(X0_vATMap,X1_vATMap))),sK41(X1_vATMap,X0_vQuestionnaire,sK45(vMC(X0_vATMap,X1_vATMap)))))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),vMC(X2_vATMap,X3_vATMap)) ),
inference(light_normalisation,[status(thm)],[c_284206,c_284136]) ).
tcf(c_284274,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,sK45(X0_vMapConf)) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_438]) ).
tcf(c_284275,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,sK45(vMC(X0_vATMap,X1_vATMap))) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_438]) ).
tcf(c_284276,plain,
! [X0_vEntry: vEntry,X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vatmbind(sK136(X0_vEntry),sK138(X0_vEntry),X0_vATMap) = X2_vATMap )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_389,c_438]) ).
tcf(c_284277,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = sK45(X0_vMapConf) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_438]) ).
tcf(c_284278,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = sK45(vMC(X2_vATMap,X3_vATMap)) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_284136,c_438]) ).
tcf(c_284302,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_439]) ).
tcf(c_284312,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_440]) ).
tcf(c_284314,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vptcheck(vMC(vatmempty,X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(vatmbind(X0_vQID,X0_vAType,vatmempty),X0_vATMap)),
inference(superposition,[status(thm)],[c_255,c_440]) ).
tcf(c_284320,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vnoQConf)
| ( vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire),X1_vQuestionnaire),X0_vAnsMap,vqmempty) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284155,c_430]) ).
tcf(c_284321,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] : vreduce(vqseq(vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire),X1_vQuestionnaire),X0_vAnsMap,vqmempty) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_284320,c_434,c_101]) ).
tcf(c_284326,plain,
! [X0_vMapConf: vMapConf,X1_vMapConf: vMapConf] :
( ( sK45(X0_vMapConf) = sK45(X1_vMapConf) )
| ( X0_vMapConf != X1_vMapConf ) ),
inference(superposition,[status(thm)],[c_77,c_280990]) ).
tcf(c_284327,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK45(vMC(X0_vATMap,X1_vATMap)) = sK45(X0_vMapConf) )
| ( vMC(X0_vATMap,X1_vATMap) != X0_vMapConf ) ),
inference(superposition,[status(thm)],[c_284136,c_280990]) ).
tcf(c_284328,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] : sK45(vMC(X0_vATMap,X1_vATMap)) = X0_vATMap,
inference(equality_resolution,[status(thm)],[c_280990]) ).
tcf(c_284339,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK136(X0_vEntry) = X0_vQID )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( vquestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_441]) ).
tcf(c_284352,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK137(X0_vEntry) = X0_vLabel )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( vquestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_442]) ).
tcf(c_284365,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK138(X0_vEntry) = X0_vAType )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( vquestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_443]) ).
tcf(c_284374,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] : vMC(X0_vATMap,sK46(vMC(X0_vATMap,X1_vATMap))) = vMC(X0_vATMap,X1_vATMap),
inference(superposition,[status(thm)],[c_284328,c_77]) ).
tcf(c_284389,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_336,c_447]) ).
tcf(c_284390,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_429,c_447]) ).
tcf(c_284391,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_428,c_447]) ).
tcf(c_284392,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_427,c_447]) ).
tcf(c_284393,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_392,c_447]) ).
tcf(c_284394,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_333,c_447]) ).
tcf(c_284395,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_332,c_447]) ).
tcf(c_284449,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_336,c_448]) ).
tcf(c_284450,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_429,c_448]) ).
tcf(c_284451,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_428,c_448]) ).
tcf(c_284452,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_427,c_448]) ).
tcf(c_284453,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_392,c_448]) ).
tcf(c_284454,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_333,c_448]) ).
tcf(c_284455,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_332,c_448]) ).
tcf(c_284509,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_336,c_449]) ).
tcf(c_284510,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_429,c_449]) ).
tcf(c_284511,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_428,c_449]) ).
tcf(c_284512,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_427,c_449]) ).
tcf(c_284513,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_392,c_449]) ).
tcf(c_284514,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_333,c_449]) ).
tcf(c_284515,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_332,c_449]) ).
tcf(c_284561,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty) != vatmempty ) ),
inference(superposition,[status(thm)],[c_281097,c_282350]) ).
tcf(c_284562,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] : vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty)) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))),
inference(superposition,[status(thm)],[c_281097,c_87]) ).
tcf(c_284563,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty) != vatmempty,
inference(superposition,[status(thm)],[c_281097,c_281715]) ).
tcf(c_284569,plain,
! [X0_vMapConf: vMapConf,X1_vMapConf: vMapConf] :
( ( sK46(X0_vMapConf) = sK46(X1_vMapConf) )
| ~ vptcheck(X0_vMapConf,vqempty,X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_281220]) ).
tcf(c_284578,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_336,c_450]) ).
tcf(c_284579,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_429,c_450]) ).
tcf(c_284580,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_428,c_450]) ).
tcf(c_284581,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_427,c_450]) ).
tcf(c_284582,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( vexpIsValue(X0_vExp)
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_392,c_450]) ).
tcf(c_284583,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_333,c_450]) ).
tcf(c_284584,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_332,c_450]) ).
tcf(c_284627,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_336,c_451]) ).
tcf(c_284628,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_429,c_451]) ).
tcf(c_284629,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_428,c_451]) ).
tcf(c_284630,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_427,c_451]) ).
tcf(c_284631,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_392,c_451]) ).
tcf(c_284632,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_333,c_451]) ).
tcf(c_284633,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_332,c_451]) ).
tcf(c_284678,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_336,c_452]) ).
tcf(c_284679,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_429,c_452]) ).
tcf(c_284680,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_428,c_452]) ).
tcf(c_284681,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_427,c_452]) ).
tcf(c_284682,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X1_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_392,c_452]) ).
tcf(c_284683,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_333,c_452]) ).
tcf(c_284684,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_332,c_452]) ).
tcf(c_284743,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_1130,c_161]) ).
tcf(c_284744,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP9(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(superposition,[status(thm)],[c_1130,c_160]) ).
tcf(c_284745,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP9(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X1_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(superposition,[status(thm)],[c_1130,c_159]) ).
tcf(c_284746,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP9(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = vandop ) ),
inference(superposition,[status(thm)],[c_1130,c_158]) ).
tcf(c_284771,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( vtypeAM(X0_vAnsMap) != vatmempty ) ),
inference(superposition,[status(thm)],[c_3355,c_282350]) ).
tcf(c_284772,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3355,c_87]) ).
tcf(c_284775,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(light_normalisation,[status(thm)],[c_284772,c_87]) ).
tcf(c_284783,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3396,c_87]) ).
tcf(c_284785,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(light_normalisation,[status(thm)],[c_284783,c_87]) ).
tcf(c_284793,plain,
! [X0_vMapConf: vMapConf,X1_vMapConf: vMapConf] :
( ( sK45(X0_vMapConf) = sK45(X1_vMapConf) )
| ~ vptcheck(X0_vMapConf,vqempty,X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_281230]) ).
tcf(c_284811,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vNumber )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_755,c_161]) ).
tcf(c_284812,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(superposition,[status(thm)],[c_755,c_160]) ).
tcf(c_284813,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(superposition,[status(thm)],[c_755,c_159]) ).
tcf(c_284814,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = vandop ) ),
inference(superposition,[status(thm)],[c_755,c_158]) ).
tcf(c_284845,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(superposition,[status(thm)],[c_758,c_204]) ).
tcf(c_284846,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(superposition,[status(thm)],[c_758,c_203]) ).
tcf(c_284847,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vandop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(superposition,[status(thm)],[c_758,c_202]) ).
tcf(c_284873,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(superposition,[status(thm)],[c_761,c_204]) ).
tcf(c_284874,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = veqop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(superposition,[status(thm)],[c_761,c_203]) ).
tcf(c_284875,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vandop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(superposition,[status(thm)],[c_761,c_202]) ).
tcf(c_284911,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_763,c_153]) ).
tcf(c_284912,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_763,c_152]) ).
tcf(c_284914,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vgtop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_763,c_150]) ).
tcf(c_284956,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vYesNo )
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vsubop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(superposition,[status(thm)],[c_4365,c_204]) ).
tcf(c_284957,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vAType = vYesNo )
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vsubop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(superposition,[status(thm)],[c_4365,c_203]) ).
tcf(c_284958,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP16(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vgtop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType ) ),
inference(superposition,[status(thm)],[c_4365,c_202]) ).
tcf(c_284995,plain,
! [X0_vMapConf: vMapConf] :
( ( sK46(X0_vMapConf) = sK31 )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,X0_vMapConf)
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(sK45(X0_vMapConf),sK46(X0_vMapConf))) ),
inference(superposition,[status(thm)],[c_77,c_280867]) ).
tcf(c_284996,plain,
! [X0_vMapConf: vMapConf] :
( ( sK46(X0_vMapConf) = sK31 )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,X0_vMapConf)
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,X0_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_284995,c_77]) ).
tcf(c_285001,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283032,c_305]) ).
tcf(c_285002,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vunop(X1_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283032,c_304]) ).
tcf(c_285004,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283032,c_302]) ).
tcf(c_285005,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vunop(X0_vUnOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283032,c_306]) ).
tcf(c_285006,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vunop(X1_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285002,c_401]) ).
tcf(c_285007,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vunop(X0_vUnOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285005,c_401]) ).
tcf(c_285008,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vbinop(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285001,c_401]) ).
tcf(c_285009,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID))),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283051,c_305]) ).
tcf(c_285010,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283051,c_304]) ).
tcf(c_285012,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283051,c_302]) ).
tcf(c_285013,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283051,c_306]) ).
tcf(c_285014,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285010,c_401]) ).
tcf(c_285015,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285013,c_401]) ).
tcf(c_285016,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID))),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285009,c_401]) ).
tcf(c_285023,plain,
! [X0_vMapConf: vMapConf] :
( ( sK45(X0_vMapConf) = sK35 )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,X0_vMapConf)
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(sK45(X0_vMapConf),sK46(X0_vMapConf))) ),
inference(superposition,[status(thm)],[c_77,c_280880]) ).
tcf(c_285024,plain,
! [X0_vMapConf: vMapConf] :
( ( sK45(X0_vMapConf) = sK35 )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,X0_vMapConf)
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,X0_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285023,c_77]) ).
tcf(c_285035,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,X0_vMapConf)
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_280893]) ).
tcf(c_285046,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK45(X0_vMapConf) = X0_vATMap )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,X0_vMapConf)
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_280905]) ).
tcf(c_285051,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283148,c_305]) ).
tcf(c_285052,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283148,c_304]) ).
tcf(c_285054,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vunop(X0_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283148,c_302]) ).
tcf(c_285055,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283148,c_306]) ).
tcf(c_285056,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285052,c_401]) ).
tcf(c_285057,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285055,c_401]) ).
tcf(c_285058,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285051,c_401]) ).
tcf(c_285059,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283156,c_305]) ).
tcf(c_285060,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283156,c_304]) ).
tcf(c_285062,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283156,c_302]) ).
tcf(c_285063,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283156,c_306]) ).
tcf(c_285064,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285060,c_401]) ).
tcf(c_285065,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285063,c_401]) ).
tcf(c_285066,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_285059,c_401]) ).
tcf(c_285067,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK40(vtypeQM(sK33),vq1,vtypeAM(sK36)) = X0_vATMap )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_280918,c_280905]) ).
tcf(c_285068,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK41(vtypeQM(sK33),vq1,vtypeAM(sK36)) = X1_vATMap )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_280918,c_280893]) ).
tcf(c_285069,plain,
( ( sK40(vtypeQM(sK33),vq1,vtypeAM(sK36)) = sK35 )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(sK40(vtypeQM(sK33),vq1,vtypeAM(sK36)),sK41(vtypeQM(sK33),vq1,vtypeAM(sK36)))) ),
inference(superposition,[status(thm)],[c_280918,c_280880]) ).
tcf(c_285070,plain,
( ( sK41(vtypeQM(sK33),vq1,vtypeAM(sK36)) = sK31 )
| ~ vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(sK40(vtypeQM(sK33),vq1,vtypeAM(sK36)),sK41(vtypeQM(sK33),vq1,vtypeAM(sK36)))) ),
inference(superposition,[status(thm)],[c_280918,c_280867]) ).
tcf(c_285085,plain,
! [X0_vQConf: vQConf,X1_vQConf: vQConf] :
( ( sK44(X0_vQConf) = sK44(X1_vQConf) )
| ( X0_vQConf != X1_vQConf ) ),
inference(superposition,[status(thm)],[c_74,c_280962]) ).
tcf(c_285086,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : sK44(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) = X0_vQuestionnaire,
inference(equality_resolution,[status(thm)],[c_280962]) ).
tcf(c_285089,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : vQC(sK42(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)),sK43(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)),X0_vQuestionnaire) = vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire),
inference(superposition,[status(thm)],[c_285086,c_74]) ).
tcf(c_285100,plain,
! [X0_vQConf: vQConf,X1_vQConf: vQConf] :
( ( sK43(X0_vQConf) = sK43(X1_vQConf) )
| ( X0_vQConf != X1_vQConf ) ),
inference(superposition,[status(thm)],[c_74,c_280963]) ).
tcf(c_285101,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : sK43(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) = X0_vQMap,
inference(equality_resolution,[status(thm)],[c_280963]) ).
tcf(c_285108,plain,
! [X0_vQConf: vQConf,X1_vQConf: vQConf] :
( ( sK42(X0_vQConf) = sK42(X1_vQConf) )
| ( X0_vQConf != X1_vQConf ) ),
inference(superposition,[status(thm)],[c_74,c_280964]) ).
tcf(c_285109,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : sK42(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) = X0_vAnsMap,
inference(equality_resolution,[status(thm)],[c_280964]) ).
tcf(c_285117,plain,
! [X0_vMapConf: vMapConf,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(sK40(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf)),sK41(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf))))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_280991]) ).
tcf(c_285118,plain,
! [X0_vMapConf: vMapConf,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(sK40(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf)),sK41(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf))))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285117,c_77]) ).
tcf(c_285122,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : vQC(sK42(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)),X0_vQMap,sK44(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire))) = vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire),
inference(superposition,[status(thm)],[c_285101,c_74]) ).
tcf(c_285124,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : vQC(X0_vAnsMap,sK43(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)),sK44(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire))) = vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire),
inference(superposition,[status(thm)],[c_285109,c_74]) ).
tcf(c_285131,plain,
! [X0_vMapConf: vMapConf,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(sK38(sK46(X0_vMapConf),sK45(X0_vMapConf),X1_vQuestionnaire),sK39(sK46(X0_vMapConf),sK45(X0_vMapConf),X1_vQuestionnaire)))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_280992]) ).
tcf(c_285132,plain,
! [X0_vMapConf: vMapConf,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(sK38(sK46(X0_vMapConf),sK45(X0_vMapConf),X1_vQuestionnaire),sK39(sK46(X0_vMapConf),sK45(X0_vMapConf),X1_vQuestionnaire)))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285131,c_77]) ).
tcf(c_285145,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf)
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_280993]) ).
tcf(c_285146,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285145,c_77]) ).
tcf(c_285164,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf)
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_280994]) ).
tcf(c_285165,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285164,c_77]) ).
tcf(c_285193,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK45(X1_vMapConf) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf)
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_280995]) ).
tcf(c_285197,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK45(X1_vMapConf) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285193,c_77]) ).
tcf(c_285215,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK46(X1_vMapConf) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf)
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X1_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_280996]) ).
tcf(c_285219,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK46(X1_vMapConf) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285215,c_77]) ).
tcf(c_285232,plain,
vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq2,vMC(sK38(sK46(vMC(vtypeAM(sK36),vtypeQM(sK33))),sK45(vMC(vtypeAM(sK36),vtypeQM(sK33))),vq2),sK39(sK46(vMC(vtypeAM(sK36),vtypeQM(sK33))),sK45(vMC(vtypeAM(sK36),vtypeQM(sK33))),vq2))),
inference(superposition,[status(thm)],[c_50,c_281005]) ).
tcf(c_285234,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT] : vreduceExp(vunop(X0_vUnOpT,vqvar(X0_vQID)),vaempty) = vnoExp,
inference(global_subsumption_just,[status(thm)],[c_283225,c_38234,c_38235,c_59666]) ).
tcf(c_285242,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,vunop(X0_vUnOpT,vqvar(X0_vQID)),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_285234,c_429]) ).
tcf(c_285243,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,vunop(X0_vUnOpT,vqvar(X0_vQID)),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_285234,c_428]) ).
tcf(c_285244,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire)
| ( vunop(X0_vUnOpT,vqvar(X0_vQID)) = vconstant(vB(vyes)) )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_285234,c_427]) ).
tcf(c_285246,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| vexpIsValue(vunop(X0_vUnOpT,vqvar(X1_vQID)))
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vunop(X0_vUnOpT,vqvar(X1_vQID)))),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_285234,c_392]) ).
tcf(c_285247,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vunop(X0_vUnOpT,vqvar(X0_vQID)))
| ( vreduceExp(vbinop(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_285234,c_333]) ).
tcf(c_285248,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vunop(X1_vUnOpT,vqvar(X0_vQID)))
| ( vreduceExp(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_285234,c_332]) ).
tcf(c_285249,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( vexpIsValue(vunop(X1_vUnOpT,vqvar(X0_vQID)))
| ( vreduceExp(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285248,c_337]) ).
tcf(c_285252,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( vexpIsValue(vunop(X0_vUnOpT,vqvar(X0_vQID)))
| ( vreduceExp(vbinop(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285247,c_337]) ).
tcf(c_285255,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( vexpIsValue(vunop(X0_vUnOpT,vqvar(X1_vQID)))
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vunop(X0_vUnOpT,vqvar(X1_vQID)))),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285246,c_337]) ).
tcf(c_285258,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285244,c_337,c_405]) ).
tcf(c_285261,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,vunop(X0_vUnOpT,vqvar(X0_vQID)),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285243,c_337]) ).
tcf(c_285265,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,vunop(X0_vUnOpT,vqvar(X0_vQID)),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285242,c_337]) ).
tcf(c_285274,plain,
! [X0_vExp: vExp,X0_vUnOpT: vUnOpT] : sK154(vunop(X0_vUnOpT,X0_vExp)) = vunop(X0_vUnOpT,X0_vExp),
inference(equality_resolution,[status(thm)],[c_283555]) ).
tcf(c_285279,plain,
vptcheck(vMC(vtypeAM(sK36),vtypeQM(sK33)),vq1,vMC(sK40(sK46(vMC(vtypeAM(sK36),vtypeQM(sK33))),vq1,sK45(vMC(vtypeAM(sK36),vtypeQM(sK33)))),sK41(sK46(vMC(vtypeAM(sK36),vtypeQM(sK33))),vq1,sK45(vMC(vtypeAM(sK36),vtypeQM(sK33)))))),
inference(superposition,[status(thm)],[c_50,c_281008]) ).
tcf(c_285328,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(sK42(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty))),vtypeQM(sK43(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)))),sK44(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)),vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283,c_281059]) ).
tcf(c_285329,plain,
! [X0_vATMap: vATMap,X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(sK162(X0_vOptQConf))),vtypeQM(sK43(sK162(X0_vOptQConf)))),sK44(sK162(X0_vOptQConf)),vMC(X0_vATMap,X1_vATMap))
| ( X0_vOptQConf = vnoQConf )
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vq1,X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_436,c_281059]) ).
tcf(c_285330,plain,
! [X0_vATMap: vATMap,X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(sK167(X0_vOptQConf))),vtypeQM(sK43(sK167(X0_vOptQConf)))),sK44(sK167(X0_vOptQConf)),vMC(X0_vATMap,X1_vATMap))
| ( X0_vOptQConf = vnoQConf )
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vq1,X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_282266,c_281059]) ).
tcf(c_285331,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(vQC(sK36,sK33,vq2))),vtypeQM(sK43(vQC(sK36,sK33,vq2)))),sK44(vQC(sK36,sK33,vq2)),vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(sK34,sK37,sK32)) != vreduce(vq1,X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_3274,c_281059]) ).
tcf(c_285332,plain,
! [X0_vATMap: vATMap,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(sK167(vsomeQConf(X0_vQConf)))),vtypeQM(sK43(sK167(vsomeQConf(X0_vQConf))))),sK44(sK167(vsomeQConf(X0_vQConf))),vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vq1,X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_282267,c_281059]) ).
tcf(c_285355,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_262,c_281508]) ).
tcf(c_285356,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_260,c_281508]) ).
tcf(c_285357,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_258,c_281508]) ).
tcf(c_285358,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_365,c_281508]) ).
tcf(c_285359,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap) = vaempty )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmempty ) ),
inference(superposition,[status(thm)],[c_281508,c_282350]) ).
tcf(c_285360,plain,
! [X0_vstring: vstring,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,vT(X0_vstring),X0_vAnsMap))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vText,vtypeAM(X0_vAnsMap))),
inference(superposition,[status(thm)],[c_281508,c_87]) ).
tcf(c_285361,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmempty,
inference(superposition,[status(thm)],[c_281508,c_281715]) ).
tcf(c_285362,plain,
! [X0_vstring: vstring,X0_vQID: vQID] : vatmbind(X0_vQID,vtypeOf(vT(X0_vstring)),vatmempty) = vatmbind(X0_vQID,vText,vtypeAM(vaempty)),
inference(superposition,[status(thm)],[c_281508,c_281097]) ).
tcf(c_285385,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_263,c_281521]) ).
tcf(c_285386,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_259,c_281521]) ).
tcf(c_285387,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] :
( ( vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap) = vaempty )
| ( vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) != vatmempty ) ),
inference(superposition,[status(thm)],[c_281521,c_282350]) ).
tcf(c_285388,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,vNum(X0_vnat),X0_vAnsMap))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vNumber,vtypeAM(X0_vAnsMap))),
inference(superposition,[status(thm)],[c_281521,c_87]) ).
tcf(c_285389,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) != vatmempty,
inference(superposition,[status(thm)],[c_281521,c_281715]) ).
tcf(c_285390,plain,
! [X0_vQID: vQID,X0_vnat: vnat] : vatmbind(X0_vQID,vtypeOf(vNum(X0_vnat)),vatmempty) = vatmbind(X0_vQID,vNumber,vtypeAM(vaempty)),
inference(superposition,[status(thm)],[c_281521,c_281097]) ).
tcf(c_285404,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_261,c_281075]) ).
tcf(c_285406,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))
| ( X0_vYN = vno )
| ( sK161(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_281075,c_431]) ).
tcf(c_285407,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))
| ( X0_vYN = vno )
| ( vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_281075,c_430]) ).
tcf(c_285419,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(sK42(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty))),vtypeQM(sK43(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)))),sK44(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)),vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283,c_281084]) ).
tcf(c_285420,plain,
! [X0_vATMap: vATMap,X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(sK162(X0_vOptQConf))),vtypeQM(sK43(sK162(X0_vOptQConf)))),sK44(sK162(X0_vOptQConf)),vMC(X0_vATMap,X1_vATMap))
| ( X0_vOptQConf = vnoQConf )
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vq2,X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_436,c_281084]) ).
tcf(c_285421,plain,
! [X0_vATMap: vATMap,X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(sK167(X0_vOptQConf))),vtypeQM(sK43(sK167(X0_vOptQConf)))),sK44(sK167(X0_vOptQConf)),vMC(X0_vATMap,X1_vATMap))
| ( X0_vOptQConf = vnoQConf )
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vq2,X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_282266,c_281084]) ).
tcf(c_285422,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(vQC(sK36,sK33,vq2))),vtypeQM(sK43(vQC(sK36,sK33,vq2)))),sK44(vQC(sK36,sK33,vq2)),vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(sK34,sK37,sK32)) != vreduce(vq2,X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_3274,c_281084]) ).
tcf(c_285423,plain,
! [X0_vATMap: vATMap,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK42(sK167(vsomeQConf(X0_vQConf)))),vtypeQM(sK43(sK167(vsomeQConf(X0_vQConf))))),sK44(sK167(vsomeQConf(X0_vQConf))),vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vq2,X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_282267,c_281084]) ).
tcf(c_285461,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK46(X1_vMapConf) = X1_vATMap )
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,X0_vMapConf)
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),vqseq(X1_vQuestionnaire,X0_vQuestionnaire),X1_vMapConf)
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_281125]) ).
tcf(c_285468,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X3_vATMap )
| ~ vptcheck(X1_vMapConf,X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,X1_vMapConf)
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285461,c_77]) ).
tcf(c_285479,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_261,c_281522]) ).
tcf(c_285480,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap) = vaempty )
| ( vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) != vatmempty ) ),
inference(superposition,[status(thm)],[c_281522,c_282350]) ).
tcf(c_285481,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,vB(X0_vYN),X0_vAnsMap))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vYesNo,vtypeAM(X0_vAnsMap))),
inference(superposition,[status(thm)],[c_281522,c_87]) ).
tcf(c_285482,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) != vatmempty,
inference(superposition,[status(thm)],[c_281522,c_281715]) ).
tcf(c_285483,plain,
! [X0_vYN: vYN,X0_vQID: vQID] : vatmbind(X0_vQID,vtypeOf(vB(X0_vYN)),vatmempty) = vatmbind(X0_vQID,vYesNo,vtypeAM(vaempty)),
inference(superposition,[status(thm)],[c_281522,c_281097]) ).
tcf(c_285498,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap] :
( ( X1_vATMap = sK31 )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vtypeAM(sK36),vtypeQM(sK33)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqcond(vconstant(vB(vno)),vq1,vq2)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_50,c_281130]) ).
tcf(c_285499,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqempty),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_281236,c_281130]) ).
tcf(c_285500,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap] :
( ( sK39(vtypeQM(sK33),vtypeAM(sK36),vq2) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vtypeAM(sK36),vtypeQM(sK33)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vq2),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_280913,c_281130]) ).
tcf(c_285501,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap] :
( ( sK41(vtypeQM(sK33),vq1,vtypeAM(sK36)) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vtypeAM(sK36),vtypeQM(sK33)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vq1),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_280918,c_281130]) ).
tcf(c_285502,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(X1_vMapConf,X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(sK45(X1_vMapConf),sK46(X1_vMapConf)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_281130]) ).
tcf(c_285503,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK46(X1_vMapConf) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,X1_vMapConf)
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_281130]) ).
tcf(c_285543,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(X1_vMapConf) = X0_vATMap )
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,X0_vMapConf)
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),vqseq(X1_vQuestionnaire,X0_vQuestionnaire),X1_vMapConf)
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_281145]) ).
tcf(c_285550,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(X0_vMapConf) = X2_vATMap )
| ~ vptcheck(X1_vMapConf,X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,X1_vMapConf)
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285543,c_77]) ).
tcf(c_285567,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap] :
( ( X0_vATMap = sK35 )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vtypeAM(sK36),vtypeQM(sK33)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqcond(vconstant(vB(vno)),vq1,vq2)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_50,c_281150]) ).
tcf(c_285568,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqempty),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_281236,c_281150]) ).
tcf(c_285569,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap] :
( ( sK38(vtypeQM(sK33),vtypeAM(sK36),vq2) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vtypeAM(sK36),vtypeQM(sK33)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vq2),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_280913,c_281150]) ).
tcf(c_285570,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap] :
( ( sK40(vtypeQM(sK33),vq1,vtypeAM(sK36)) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vtypeAM(sK36),vtypeQM(sK33)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vq1),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_280918,c_281150]) ).
tcf(c_285571,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(X1_vMapConf,X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(sK45(X1_vMapConf),sK46(X1_vMapConf)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_281150]) ).
tcf(c_285572,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK45(X1_vMapConf) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X2_vATMap,X3_vATMap),X1_vQuestionnaire,X1_vMapConf)
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,X1_vQuestionnaire),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_77,c_281150]) ).
tcf(c_285634,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(sK54(X1_vATMap,X0_vATMap,X1_vQuestionnaire),sK55(X1_vATMap,X0_vATMap,X1_vQuestionnaire)))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_281163]) ).
tcf(c_285640,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(sK54(X1_vATMap,X0_vATMap,X1_vQuestionnaire),sK55(X1_vATMap,X0_vATMap,X1_vQuestionnaire)))
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285634,c_77]) ).
tcf(c_285652,plain,
! [X0_vMapConf: vMapConf,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,vMC(sK56(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf)),sK57(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf))))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_281176]) ).
tcf(c_285653,plain,
! [X0_vMapConf: vMapConf,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(sK56(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf)),sK57(sK46(X0_vMapConf),X0_vQuestionnaire,sK45(X0_vMapConf))))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285652,c_77]) ).
tcf(c_285668,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X1_vQuestionnaire,X0_vQuestionnaire),X1_vMapConf)
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,X0_vMapConf)
| ~ vptcheck(vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)),X0_vQuestionnaire,X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_281193]) ).
tcf(c_285673,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vMapConf: vMapConf,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf)
| ~ vptcheck(X0_vMapConf,X1_vQuestionnaire,X1_vMapConf)
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,X0_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_285668,c_77]) ).
tcf(c_285683,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vecheck(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(vtypeOf(vT(X0_vstring))),
inference(superposition,[status(thm)],[c_281508,c_282095]) ).
tcf(c_285684,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] : vecheck(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(vtypeOf(vNum(X0_vnat))),
inference(superposition,[status(thm)],[c_281521,c_282095]) ).
tcf(c_285685,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vecheck(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(vtypeOf(vB(X0_vYN))),
inference(superposition,[status(thm)],[c_281522,c_282095]) ).
tcf(c_285686,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : vecheck(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty),vqvar(X0_vQID)) = vsomeAType(vtypeOf(X0_vAval)),
inference(superposition,[status(thm)],[c_281097,c_282095]) ).
tcf(c_285687,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK47(X0_vAnsMap))) = vsomeAType(vtypeOf(sK48(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_85,c_282095]) ).
tcf(c_285688,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK47(X0_vAnsMap))) = vsomeAType(vtypeOf(sK48(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_83,c_282095]) ).
tcf(c_285689,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK89(X0_vAnsMap))) = vsomeAType(vtypeOf(sK90(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_238,c_282095]) ).
tcf(c_285690,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_440]) ).
tcf(c_285691,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))))
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_382]) ).
tcf(c_285692,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))))
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_361]) ).
tcf(c_285693,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282095,c_358]) ).
tcf(c_285694,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vtypeOf(X0_vAval)))
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_305]) ).
tcf(c_285695,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vtypeOf(X0_vAval)))
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vunop(X0_vUnOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_304]) ).
tcf(c_285696,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X1_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_303]) ).
tcf(c_285697,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282095,c_302]) ).
tcf(c_285698,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vtypeOf(X0_vAval)))
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_306]) ).
tcf(c_285699,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vecheck(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(vYesNo),
inference(light_normalisation,[status(thm)],[c_285685,c_268]) ).
tcf(c_285700,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vecheck(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(vNumber),
inference(light_normalisation,[status(thm)],[c_285684,c_267]) ).
tcf(c_285701,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vecheck(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(vText),
inference(light_normalisation,[status(thm)],[c_285683,c_266]) ).
tcf(c_285734,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( sK155(vconstant(X0_vAval)) = sK155(X0_vExp) )
| ( vconstant(X0_vAval) != X0_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_282186]) ).
tcf(c_285735,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( sK155(vconstant(X0_vAval)) = sK156(X0_vExp) )
| ( vconstant(X0_vAval) != X0_vExp ) ),
inference(superposition,[status(thm)],[c_282214,c_282186]) ).
tcf(c_285736,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK155(vconstant(X0_vAval)) = sK155(vconstant(X1_vAval)) )
| ( vconstant(X0_vAval) != vconstant(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_282183,c_282186]) ).
tcf(c_285737,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK155(vconstant(X1_vAval)) = sK156(vconstant(X0_vAval)) )
| ( vconstant(X0_vAval) != vconstant(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_282215,c_282186]) ).
tcf(c_285738,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( sK155(vconstant(sK155(X0_vExp))) = X0_vAval )
| ( vconstant(X0_vAval) != X0_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_282186]) ).
tcf(c_285739,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( sK155(vconstant(sK156(X0_vExp))) = X0_vAval )
| ( vconstant(X0_vAval) != X0_vExp ) ),
inference(superposition,[status(thm)],[c_282214,c_282186]) ).
tcf(c_285740,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK155(vconstant(sK155(vconstant(X1_vAval)))) = X0_vAval )
| ( vconstant(X0_vAval) != vconstant(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_282183,c_282186]) ).
tcf(c_285741,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK155(vconstant(sK156(vconstant(X1_vAval)))) = X0_vAval )
| ( vconstant(X0_vAval) != vconstant(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_282215,c_282186]) ).
tcf(c_285742,plain,
! [X0_vAval: vAval] : sK155(vconstant(X0_vAval)) = X0_vAval,
inference(equality_resolution,[status(thm)],[c_282186]) ).
tcf(c_285790,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vNum(sK61(X1_vAval)) = X1_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281346,c_115]) ).
tcf(c_285791,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vNum(sK60(X0_vAval)) = X0_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281346,c_114]) ).
tcf(c_285792,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281346,c_113]) ).
tcf(c_285843,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vNum(sK61(X1_vAval)) = X1_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281347,c_115]) ).
tcf(c_285844,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( vNum(sK60(X0_vAval)) = X0_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281347,c_114]) ).
tcf(c_285845,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281347,c_113]) ).
tcf(c_285899,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK61(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281348,c_115]) ).
tcf(c_285900,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK60(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281348,c_114]) ).
tcf(c_285901,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vsubop )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281348,c_113]) ).
tcf(c_285933,plain,
! [X0_vExp: vExp] :
( ( sK155(X0_vExp) = sK156(X0_vExp) )
| ( sK154(X0_vExp) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_282214,c_285742]) ).
tcf(c_285934,plain,
! [X0_vAval: vAval] : sK155(vconstant(X0_vAval)) = sK156(vconstant(X0_vAval)),
inference(superposition,[status(thm)],[c_282215,c_285742]) ).
tcf(c_285935,plain,
! [X0_vAval: vAval] : sK156(vconstant(X0_vAval)) = X0_vAval,
inference(light_normalisation,[status(thm)],[c_285934,c_285742]) ).
tcf(c_285961,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK61(X1_vAval)) = X1_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281399,c_115]) ).
tcf(c_285962,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK60(X0_vAval)) = X0_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281399,c_114]) ).
tcf(c_285963,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281399,c_113]) ).
tcf(c_286016,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK61(X1_vAval)) = X1_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281400,c_115]) ).
tcf(c_286017,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK60(X0_vAval)) = X0_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281400,c_114]) ).
tcf(c_286018,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281400,c_113]) ).
tcf(c_286071,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK61(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281401,c_115]) ).
tcf(c_286072,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vNum(sK60(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281401,c_114]) ).
tcf(c_286073,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK72(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281401,c_113]) ).
tcf(c_286135,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK61(X1_vAval)) = X1_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281452,c_115]) ).
tcf(c_286136,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK60(X0_vAval)) = X0_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281452,c_114]) ).
tcf(c_286137,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK59(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281452,c_113]) ).
tcf(c_286188,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK61(X1_vAval)) = X1_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281453,c_115]) ).
tcf(c_286189,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK60(X0_vAval)) = X0_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281453,c_114]) ).
tcf(c_286190,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK58(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281453,c_113]) ).
tcf(c_286244,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK61(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281454,c_115]) ).
tcf(c_286245,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vNum(sK60(X0_vAval)) = X0_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281454,c_114]) ).
tcf(c_286246,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( sP4(X0_vBinOpT,X0_vAval,X1_vAval)
| sP3(X0_vBinOpT,X0_vAval,X1_vAval)
| sP2(X0_vBinOpT,X0_vAval,X1_vAval)
| sP1(X0_vBinOpT,X0_vAval,X1_vAval)
| sP0(X0_vBinOpT,X0_vAval,X1_vAval)
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vsubop )
| ( vNum(sK73(X1_vAval)) = X1_vAval )
| ( vevalBinOp(X0_vBinOpT,X0_vAval,X1_vAval) = vnoExp ) ),
inference(superposition,[status(thm)],[c_281454,c_113]) ).
tcf(c_286302,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP13(X0_vBinOpT,X0_vAType,X1_vAType)
| sP12(X0_vBinOpT,X0_vAType,X1_vAType)
| sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = vsubop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_281779,c_145]) ).
tcf(c_286305,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP13(X0_vBinOpT,X0_vAType,X1_vAType)
| sP12(X0_vBinOpT,X0_vAType,X1_vAType)
| sP11(X0_vBinOpT,X0_vAType,X1_vAType)
| sP10(X0_vBinOpT,X0_vAType,X1_vAType)
| sP9(X0_vBinOpT,X0_vAType,X1_vAType)
| sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vsubop ) ),
inference(superposition,[status(thm)],[c_281779,c_142]) ).
tcf(c_286383,plain,
! [X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT,X2_vBinOpT: vBinOpT,X3_vBinOpT: vBinOpT] :
( ( X3_vBinOpT = vltop )
| ( X3_vBinOpT = vaddop )
| ( X3_vBinOpT = veqop )
| ( X3_vBinOpT = vorop )
| ( X3_vBinOpT = vmulop )
| ( X3_vBinOpT = vdivop )
| ( X3_vBinOpT = vandop )
| ( X3_vBinOpT = vsubop )
| ( X2_vBinOpT = vltop )
| ( X2_vBinOpT = vaddop )
| ( X2_vBinOpT = veqop )
| ( X2_vBinOpT = vorop )
| ( X2_vBinOpT = vmulop )
| ( X2_vBinOpT = vdivop )
| ( X2_vBinOpT = vandop )
| ( X2_vBinOpT = vsubop )
| ( X1_vBinOpT = vaddop )
| ( X1_vBinOpT = veqop )
| ( X1_vBinOpT = vorop )
| ( X1_vBinOpT = vmulop )
| ( X1_vBinOpT = vdivop )
| ( X1_vBinOpT = vandop )
| ( X1_vBinOpT = vsubop )
| ( X1_vBinOpT = X2_vBinOpT )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop )
| ( X0_vBinOpT = X3_vBinOpT )
| ( X0_vBinOpT = X1_vBinOpT ) ),
inference(superposition,[status(thm)],[c_281847,c_281847]) ).
tcf(c_286384,plain,
! [X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT,X2_vBinOpT: vBinOpT,X3_vBinOpT: vBinOpT] :
( ( X3_vBinOpT = vltop )
| ( X3_vBinOpT = vaddop )
| ( X3_vBinOpT = veqop )
| ( X3_vBinOpT = vorop )
| ( X3_vBinOpT = vmulop )
| ( X3_vBinOpT = vdivop )
| ( X3_vBinOpT = vandop )
| ( X3_vBinOpT = vsubop )
| ( X2_vBinOpT = vltop )
| ( X2_vBinOpT = vaddop )
| ( X2_vBinOpT = veqop )
| ( X2_vBinOpT = vorop )
| ( X2_vBinOpT = vmulop )
| ( X2_vBinOpT = vdivop )
| ( X2_vBinOpT = vandop )
| ( X2_vBinOpT = vsubop )
| ( X1_vBinOpT = vaddop )
| ( X1_vBinOpT = veqop )
| ( X1_vBinOpT = vorop )
| ( X1_vBinOpT = vmulop )
| ( X1_vBinOpT = vdivop )
| ( X1_vBinOpT = vandop )
| ( X1_vBinOpT = vsubop )
| ( X1_vBinOpT = X3_vBinOpT )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop )
| ( X0_vBinOpT = X2_vBinOpT )
| ( X0_vBinOpT = X1_vBinOpT ) ),
inference(superposition,[status(thm)],[c_281847,c_281847]) ).
tcf(c_286393,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop )
| ( sK150(X0_vExp) = vaddop )
| ( sK150(X0_vExp) = veqop )
| ( sK150(X0_vExp) = vorop )
| ( sK150(X0_vExp) = vmulop )
| ( sK150(X0_vExp) = vdivop )
| ( sK150(X0_vExp) = vandop )
| ( sK150(X0_vExp) = vsubop )
| ( sK150(X0_vExp) = X0_vBinOpT )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( vbinop(sK149(X0_vExp),vltop,sK151(X0_vExp)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_281847,c_408]) ).
tcf(c_286396,plain,
! [X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( ( vaddop = vgtop )
| ( veqop = vgtop )
| ( vorop = vgtop )
| ( vmulop = vgtop )
| ( vdivop = vgtop )
| ( vandop = vgtop )
| ( vsubop = vgtop )
| ( X1_vBinOpT = vgtop )
| ( X1_vBinOpT = vltop )
| ( X1_vBinOpT = vaddop )
| ( X1_vBinOpT = veqop )
| ( X1_vBinOpT = vorop )
| ( X1_vBinOpT = vmulop )
| ( X1_vBinOpT = vdivop )
| ( X1_vBinOpT = vandop )
| ( X1_vBinOpT = vsubop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop ) ),
inference(superposition,[status(thm)],[c_281847,c_221]) ).
tcf(c_286406,plain,
! [X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT,X2_vBinOpT: vBinOpT,X3_vBinOpT: vBinOpT] :
( ( X3_vBinOpT = vltop )
| ( X3_vBinOpT = vaddop )
| ( X3_vBinOpT = veqop )
| ( X3_vBinOpT = vorop )
| ( X3_vBinOpT = vmulop )
| ( X3_vBinOpT = vdivop )
| ( X3_vBinOpT = vandop )
| ( X3_vBinOpT = vsubop )
| ( X2_vBinOpT = vaddop )
| ( X2_vBinOpT = veqop )
| ( X2_vBinOpT = vorop )
| ( X2_vBinOpT = vmulop )
| ( X2_vBinOpT = vdivop )
| ( X2_vBinOpT = vandop )
| ( X2_vBinOpT = vsubop )
| ( X2_vBinOpT = X3_vBinOpT )
| ( X1_vBinOpT = vltop )
| ( X1_vBinOpT = vaddop )
| ( X1_vBinOpT = veqop )
| ( X1_vBinOpT = vorop )
| ( X1_vBinOpT = vmulop )
| ( X1_vBinOpT = vdivop )
| ( X1_vBinOpT = vandop )
| ( X1_vBinOpT = vsubop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop )
| ( X0_vBinOpT = X2_vBinOpT )
| ( X0_vBinOpT = X1_vBinOpT ) ),
inference(superposition,[status(thm)],[c_281847,c_281847]) ).
tcf(c_286408,plain,
! [X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( ( X1_vBinOpT = vltop )
| ( X1_vBinOpT = vaddop )
| ( X1_vBinOpT = veqop )
| ( X1_vBinOpT = vorop )
| ( X1_vBinOpT = vmulop )
| ( X1_vBinOpT = vdivop )
| ( X1_vBinOpT = vandop )
| ( X1_vBinOpT = vsubop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop )
| ( X0_vBinOpT = X1_vBinOpT )
| ( vcheckBinOp(X0_vBinOpT,vNumber,vNumber) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_281847,c_290]) ).
tcf(c_286469,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop )
| ( sK150(X0_vExp) = vltop )
| ( sK150(X0_vExp) = vaddop )
| ( sK150(X0_vExp) = veqop )
| ( sK150(X0_vExp) = vorop )
| ( sK150(X0_vExp) = vmulop )
| ( sK150(X0_vExp) = vdivop )
| ( sK150(X0_vExp) = vandop )
| ( sK150(X0_vExp) = vsubop )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( vbinop(sK149(X0_vExp),X0_vBinOpT,sK151(X0_vExp)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_281847,c_408]) ).
tcf(c_286555,plain,
! [X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( ( X1_vBinOpT = vgtop )
| ( X1_vBinOpT = vltop )
| ( X1_vBinOpT = vaddop )
| ( X1_vBinOpT = veqop )
| ( X1_vBinOpT = vorop )
| ( X1_vBinOpT = vmulop )
| ( X1_vBinOpT = vdivop )
| ( X1_vBinOpT = vandop )
| ( X1_vBinOpT = vsubop )
| ( X0_vBinOpT = vltop )
| ( X0_vBinOpT = vaddop )
| ( X0_vBinOpT = veqop )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vmulop )
| ( X0_vBinOpT = vdivop )
| ( X0_vBinOpT = vandop )
| ( X0_vBinOpT = vsubop ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_286396,c_345,c_216,c_342,c_330,c_325,c_319,c_312]) ).
tcf(c_286744,plain,
! [X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty) = sK167(vsomeQConf(X0_vQConf)) )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_283,c_282341]) ).
tcf(c_286745,plain,
! [X0_vQConf: vQConf,X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( sK167(vsomeQConf(X0_vQConf)) = sK162(X0_vOptQConf) )
| ( vsomeQConf(X0_vQConf) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_436,c_282341]) ).
tcf(c_286746,plain,
! [X0_vQConf: vQConf,X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( sK167(vsomeQConf(X0_vQConf)) = sK167(X0_vOptQConf) )
| ( vsomeQConf(X0_vQConf) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_282266,c_282341]) ).
tcf(c_286747,plain,
! [X0_vQConf: vQConf] :
( ( vQC(sK36,sK33,vq2) = sK167(vsomeQConf(X0_vQConf)) )
| ( vsomeQConf(vQC(sK34,sK37,sK32)) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_3274,c_282341]) ).
tcf(c_286748,plain,
! [X0_vQConf: vQConf,X1_vQConf: vQConf] :
( ( sK167(vsomeQConf(X0_vQConf)) = sK167(vsomeQConf(X1_vQConf)) )
| ( vsomeQConf(X0_vQConf) != vsomeQConf(X1_vQConf) ) ),
inference(superposition,[status(thm)],[c_282267,c_282341]) ).
tcf(c_286749,plain,
! [X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK167(vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty))) = X0_vQConf )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_283,c_282341]) ).
tcf(c_286750,plain,
! [X0_vQConf: vQConf,X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( sK167(vsomeQConf(sK162(X0_vOptQConf))) = X0_vQConf )
| ( vsomeQConf(X0_vQConf) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_436,c_282341]) ).
tcf(c_286751,plain,
! [X0_vQConf: vQConf,X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( sK167(vsomeQConf(sK167(X0_vOptQConf))) = X0_vQConf )
| ( vsomeQConf(X0_vQConf) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_282266,c_282341]) ).
tcf(c_286752,plain,
! [X0_vQConf: vQConf] :
( ( sK167(vsomeQConf(vQC(sK36,sK33,vq2))) = X0_vQConf )
| ( vsomeQConf(vQC(sK34,sK37,sK32)) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_3274,c_282341]) ).
tcf(c_286753,plain,
! [X0_vQConf: vQConf,X1_vQConf: vQConf] :
( ( sK167(vsomeQConf(sK167(vsomeQConf(X1_vQConf)))) = X0_vQConf )
| ( vsomeQConf(X0_vQConf) != vsomeQConf(X1_vQConf) ) ),
inference(superposition,[status(thm)],[c_282267,c_282341]) ).
tcf(c_286754,plain,
! [X0_vQConf: vQConf] : sK167(vsomeQConf(X0_vQConf)) = X0_vQConf,
inference(equality_resolution,[status(thm)],[c_282341]) ).
tcf(c_286771,plain,
! [X0_vQConf: vQConf] :
( ( sK167(vsomeQConf(vQC(sK34,sK37,sK32))) = X0_vQConf )
| ( vsomeQConf(vQC(sK34,sK37,sK32)) != vsomeQConf(X0_vQConf) ) ),
inference(light_normalisation,[status(thm)],[c_286752,c_3274]) ).
tcf(c_286776,plain,
! [X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK167(vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap)) = X0_vQConf )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(light_normalisation,[status(thm)],[c_286749,c_283]) ).
tcf(c_286826,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( sK47(X0_vAnsMap) = sK47(X1_vAnsMap) )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_281889]) ).
tcf(c_286827,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = sK47(X1_vAnsMap) )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_281889]) ).
tcf(c_286828,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X1_vAnsMap) = sK89(X0_vAnsMap) )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_281889]) ).
tcf(c_286829,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty ) ),
inference(equality_resolution,[status(thm)],[c_281889]) ).
tcf(c_286830,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vQID,
inference(forward_subsumption_resolution,[status(thm)],[c_286829,c_281715]) ).
tcf(c_286853,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = sK47(X1_vAnsMap) )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_281890]) ).
tcf(c_286854,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = sK47(X1_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_281890]) ).
tcf(c_286855,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK47(X1_vAnsMap) = sK89(X0_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_281890]) ).
tcf(c_286871,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK167(vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap)) = vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty),
inference(superposition,[status(thm)],[c_283,c_286754]) ).
tcf(c_286872,plain,
! [X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( sK162(X0_vOptQConf) = sK167(X0_vOptQConf) ) ),
inference(superposition,[status(thm)],[c_436,c_286754]) ).
tcf(c_286873,plain,
sK167(vsomeQConf(vQC(sK34,sK37,sK32))) = vQC(sK36,sK33,vq2),
inference(superposition,[status(thm)],[c_3274,c_286754]) ).
tcf(c_286882,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = sK89(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_238,c_286830]) ).
tcf(c_286884,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(vabind(X0_vQID,sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_286830,c_3355]) ).
tcf(c_286886,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(X0_vQID,sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_286830,c_83]) ).
tcf(c_286889,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vabind(X0_vQID,sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap),
inference(forward_subsumption_resolution,[status(thm)],[c_286886,c_237]) ).
tcf(c_286890,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeAM(vabind(X0_vQID,sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),
inference(forward_subsumption_resolution,[status(thm)],[c_286884,c_237]) ).
tcf(c_286899,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( sK48(X0_vAnsMap) = sK48(X1_vAnsMap) )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_281904]) ).
tcf(c_286900,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK48(X0_vAnsMap) = sK48(X1_vAnsMap) )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_281904]) ).
tcf(c_286901,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK48(X1_vAnsMap) = sK90(X0_vAnsMap) )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_281904]) ).
tcf(c_286902,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vAval )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty ) ),
inference(equality_resolution,[status(thm)],[c_281904]) ).
tcf(c_286903,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vAval,
inference(forward_subsumption_resolution,[status(thm)],[c_286902,c_281715]) ).
tcf(c_286929,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK48(X0_vAnsMap) = sK48(X1_vAnsMap) )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_281905]) ).
tcf(c_286930,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK48(X0_vAnsMap) = sK48(X1_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_281905]) ).
tcf(c_286931,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK48(X1_vAnsMap) = sK90(X0_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_281905]) ).
tcf(c_286951,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( sK49(X0_vAnsMap) = sK49(X1_vAnsMap) )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_281930]) ).
tcf(c_286952,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = sK49(X1_vAnsMap) )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_281930]) ).
tcf(c_286953,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK49(X1_vAnsMap) = sK91(X0_vAnsMap) )
| ( vtypeAM(X1_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_281930]) ).
tcf(c_286954,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vAnsMap )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty ) ),
inference(equality_resolution,[status(thm)],[c_281930]) ).
tcf(c_286955,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vAnsMap,
inference(forward_subsumption_resolution,[status(thm)],[c_286954,c_281715]) ).
tcf(c_286969,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK48(X0_vAnsMap) = sK90(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_238,c_286903]) ).
tcf(c_286970,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vtypeAM(vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAval,sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_286903,c_3396]) ).
tcf(c_286971,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAval,sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_286903,c_3355]) ).
tcf(c_286972,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAval,sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_286903,c_85]) ).
tcf(c_286973,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAval,sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_286903,c_83]) ).
tcf(c_286981,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = sK91(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_238,c_286955]) ).
tcf(c_286982,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vtypeAM(vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAnsMap)) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_286955,c_3396]) ).
tcf(c_286983,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAnsMap)) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_286955,c_3355]) ).
tcf(c_286984,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAnsMap) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_286955,c_85]) ).
tcf(c_286985,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAnsMap) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_286955,c_83]) ).
tcf(c_286999,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = sK49(X1_vAnsMap) )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_281931]) ).
tcf(c_287000,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = sK49(X1_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_281931]) ).
tcf(c_287001,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK49(X1_vAnsMap) = sK91(X0_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_281931]) ).
tcf(c_287076,plain,
! [X0_vQConf: vQConf] :
( ( vsomeQConf(X0_vQConf) = vnoQConf )
| ( sK162(vsomeQConf(X0_vQConf)) = X0_vQConf ) ),
inference(superposition,[status(thm)],[c_286872,c_286754]) ).
tcf(c_287077,plain,
! [X0_vQConf: vQConf] : sK162(vsomeQConf(X0_vQConf)) = X0_vQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_287076,c_435]) ).
tcf(c_287078,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK162(vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap)) = vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty),
inference(superposition,[status(thm)],[c_283,c_287077]) ).
tcf(c_287080,plain,
sK162(vsomeQConf(vQC(sK34,sK37,sK32))) = vQC(sK36,sK33,vq2),
inference(superposition,[status(thm)],[c_3274,c_287077]) ).
tcf(c_287155,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK90(X0_vAnsMap),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_286882,c_238]) ).
tcf(c_287162,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK89(X0_vAnsMap),sK48(X0_vAnsMap),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_286969,c_238]) ).
tcf(c_287229,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK89(X0_vAnsMap),sK90(X0_vAnsMap),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_286981,c_238]) ).
tcf(c_287233,plain,
vQC(sK34,sK37,sK32) = vQC(sK36,sK33,vq2),
inference(demodulation,[status(thm)],[c_286873,c_286754]) ).
tcf(c_287235,plain,
sK42(vQC(sK34,sK37,sK32)) = sK36,
inference(superposition,[status(thm)],[c_287233,c_285109]) ).
tcf(c_287236,plain,
sK43(vQC(sK34,sK37,sK32)) = sK33,
inference(superposition,[status(thm)],[c_287233,c_285101]) ).
tcf(c_287237,plain,
! [X0_vQConf: vQConf] :
( ( sK42(X0_vQConf) = sK36 )
| ( vQC(sK34,sK37,sK32) != X0_vQConf ) ),
inference(superposition,[status(thm)],[c_287233,c_280964]) ).
tcf(c_287238,plain,
! [X0_vQConf: vQConf] :
( ( sK43(X0_vQConf) = sK33 )
| ( vQC(sK34,sK37,sK32) != X0_vQConf ) ),
inference(superposition,[status(thm)],[c_287233,c_280963]) ).
tcf(c_287239,plain,
sK44(vQC(sK34,sK37,sK32)) = vq2,
inference(superposition,[status(thm)],[c_287233,c_285086]) ).
tcf(c_287240,plain,
! [X0_vQConf: vQConf] :
( ( sK44(X0_vQConf) = vq2 )
| ( vQC(sK34,sK37,sK32) != X0_vQConf ) ),
inference(superposition,[status(thm)],[c_287233,c_280962]) ).
tcf(c_287246,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQuestionnaire = vq2 )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != vQC(sK34,sK37,sK32) ) ),
inference(superposition,[status(thm)],[c_287233,c_73]) ).
tcf(c_287247,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = sK33 )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != vQC(sK34,sK37,sK32) ) ),
inference(superposition,[status(thm)],[c_287233,c_72]) ).
tcf(c_287248,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vAnsMap = sK36 )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != vQC(sK34,sK37,sK32) ) ),
inference(superposition,[status(thm)],[c_287233,c_71]) ).
tcf(c_287328,plain,
sK34 = sK36,
inference(demodulation,[status(thm)],[c_287235,c_285109]) ).
tcf(c_287329,plain,
vQC(sK34,sK33,vq2) = vQC(sK34,sK37,sK32),
inference(demodulation,[status(thm)],[c_287233,c_287328]) ).
tcf(c_287330,plain,
vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(sK40(vtypeQM(sK33),vq1,vtypeAM(sK34)),sK41(vtypeQM(sK33),vq1,vtypeAM(sK34)))),
inference(demodulation,[status(thm)],[c_280918,c_287328]) ).
tcf(c_287331,plain,
vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(sK38(vtypeQM(sK33),vtypeAM(sK34),vq2),sK39(vtypeQM(sK33),vtypeAM(sK34),vq2))),
inference(demodulation,[status(thm)],[c_280913,c_287328]) ).
tcf(c_287332,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(demodulation,[status(thm)],[c_280905,c_287328]) ).
tcf(c_287333,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(demodulation,[status(thm)],[c_280893,c_287328]) ).
tcf(c_287334,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X0_vATMap = sK35 )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(demodulation,[status(thm)],[c_280880,c_287328]) ).
tcf(c_287335,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X1_vATMap = sK31 )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(demodulation,[status(thm)],[c_280867,c_287328]) ).
tcf(c_287336,plain,
vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(vno)),vq1,vq2),vMC(sK35,sK31)),
inference(demodulation,[status(thm)],[c_50,c_287328]) ).
tcf(c_287352,plain,
sK43(vQC(sK34,sK33,vq2)) = sK33,
inference(light_normalisation,[status(thm)],[c_287236,c_287329]) ).
tcf(c_287359,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = sK91(X1_vAnsMap) )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_282067]) ).
tcf(c_287360,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = sK91(X1_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_282067]) ).
tcf(c_287361,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = sK91(X1_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_282067]) ).
tcf(c_287362,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK91(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(equality_resolution,[status(thm)],[c_282067]) ).
tcf(c_287363,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK91(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vAnsMap,
inference(forward_subsumption_resolution,[status(thm)],[c_287362,c_237]) ).
tcf(c_287385,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK48(X0_vAnsMap) = sK90(X1_vAnsMap) )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_282068]) ).
tcf(c_287386,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK48(X0_vAnsMap) = sK90(X1_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_282068]) ).
tcf(c_287387,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK90(X0_vAnsMap) = sK90(X1_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_282068]) ).
tcf(c_287388,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vAval ) ),
inference(equality_resolution,[status(thm)],[c_282068]) ).
tcf(c_287389,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vAval,
inference(forward_subsumption_resolution,[status(thm)],[c_287388,c_237]) ).
tcf(c_287417,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = sK89(X1_vAnsMap) )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_85,c_282069]) ).
tcf(c_287418,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = sK89(X1_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_83,c_282069]) ).
tcf(c_287419,plain,
! [X0_vAnsMap: vAnsMap,X1_vAnsMap: vAnsMap] :
( ( X1_vAnsMap = vaempty )
| ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = sK89(X1_vAnsMap) )
| ( X0_vAnsMap != X1_vAnsMap ) ),
inference(superposition,[status(thm)],[c_238,c_282069]) ).
tcf(c_287420,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK89(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vQID ) ),
inference(equality_resolution,[status(thm)],[c_282069]) ).
tcf(c_287421,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK89(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X0_vQID,
inference(forward_subsumption_resolution,[status(thm)],[c_287420,c_237]) ).
tcf(c_287435,plain,
sK44(vQC(sK34,sK33,vq2)) = vq2,
inference(light_normalisation,[status(thm)],[c_287239,c_287329]) ).
tcf(c_287437,plain,
! [X0_vAnsMap: vAnsMap] :
( ( sK49(X0_vAnsMap) = sK91(X0_vAnsMap) )
| ( vtypeAM(X0_vAnsMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_85,c_287363]) ).
tcf(c_287440,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(sK89(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAnsMap) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287363,c_238]) ).
tcf(c_287451,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)),vqvar(X1_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_281508,c_282083]) ).
tcf(c_287452,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)),vqvar(X1_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_281521,c_282083]) ).
tcf(c_287453,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)),vqvar(X1_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_281522,c_282083]) ).
tcf(c_287454,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty),vqvar(X1_vQID)) = vecheck(vtypeAM(vaempty),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_281097,c_282083]) ).
tcf(c_287455,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK47(X0_vAnsMap) = X0_vQID )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vecheck(vtypeAM(sK49(X0_vAnsMap)),vqvar(X0_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_85,c_282083]) ).
tcf(c_287456,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vecheck(vtypeAM(sK49(X0_vAnsMap)),vqvar(X0_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_83,c_282083]) ).
tcf(c_287457,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vecheck(vtypeAM(sK91(X0_vAnsMap)),vqvar(X0_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_238,c_282083]) ).
tcf(c_287458,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_440]) ).
tcf(c_287459,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)))))
| ( X0_vQID = X1_vQID )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_382]) ).
tcf(c_287460,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))))
| ( X0_vQID = X1_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282083,c_361]) ).
tcf(c_287461,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X2_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282083,c_358]) ).
tcf(c_287462,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQID: vQID] :
( visSomeAType(vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_305]) ).
tcf(c_287463,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQID: vQID] :
( visSomeAType(vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_304]) ).
tcf(c_287464,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID,X2_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X2_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X2_vQID )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X2_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X1_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_303]) ).
tcf(c_287465,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( X0_vQID = X1_vQID )
| ~ vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282083,c_302]) ).
tcf(c_287466,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQID: vQID] :
( visSomeAType(vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_306]) ).
tcf(c_287468,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty),vqvar(X1_vQID)) = vecheck(vatmempty,vqvar(X1_vQID)) ) ),
inference(light_normalisation,[status(thm)],[c_287454,c_88]) ).
tcf(c_287567,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_440]) ).
tcf(c_287568,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap)))))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_382]) ).
tcf(c_287569,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vtypeQM(sK53(X0_vQMap))))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282084,c_361]) ).
tcf(c_287570,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282084,c_358]) ).
tcf(c_287571,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_305]) ).
tcf(c_287572,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vunop(X0_vUnOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_304]) ).
tcf(c_287573,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( sK50(X0_vQMap) = X1_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_303]) ).
tcf(c_287574,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ~ vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282084,c_302]) ).
tcf(c_287575,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_306]) ).
tcf(c_287623,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_440]) ).
tcf(c_287624,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap)))))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_382]) ).
tcf(c_287625,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vtypeQM(sK53(X0_vQMap))))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282085,c_361]) ).
tcf(c_287626,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282085,c_358]) ).
tcf(c_287627,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_305]) ).
tcf(c_287628,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vunop(X0_vUnOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_304]) ).
tcf(c_287629,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X1_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_303]) ).
tcf(c_287630,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ~ vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282085,c_302]) ).
tcf(c_287631,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_306]) ).
tcf(c_287674,plain,
! [X0_vAnsMap: vAnsMap] :
( ( sK48(X0_vAnsMap) = sK90(X0_vAnsMap) )
| ( vtypeAM(X0_vAnsMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_85,c_287389]) ).
tcf(c_287677,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(sK89(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAval,sK91(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287389,c_238]) ).
tcf(c_287682,plain,
! [X0_vAnsMap: vAnsMap] :
( ( sK47(X0_vAnsMap) = sK89(X0_vAnsMap) )
| ( vtypeAM(X0_vAnsMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_85,c_287421]) ).
tcf(c_287685,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(X0_vQID,sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK91(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287421,c_238]) ).
tcf(c_287695,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vqvar(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vsomeAType(sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_93,c_282096]) ).
tcf(c_287697,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vquestion(sK50(X0_vQMap),X0_vLabel,X0_vAType)),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_440]) ).
tcf(c_287698,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vdefquestion(sK50(X0_vQMap),X0_vLabel,X0_vAType)),vMC(X0_vATMap,vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap))))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_382]) ).
tcf(c_287699,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap),vtypeQM(X0_vQMap)))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(sK50(X0_vQMap))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_361]) ).
tcf(c_287700,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282096,c_358]) ).
tcf(c_287701,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vbinop(vqvar(sK50(X0_vQMap)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_305]) ).
tcf(c_287702,plain,
! [X0_vQMap: vQMap,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vunop(X0_vUnOpT,vqvar(sK50(X0_vQMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_304]) ).
tcf(c_287703,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK50(X0_vQMap)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_303]) ).
tcf(c_287704,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqcond(vqvar(sK50(X0_vQMap)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ~ vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282096,c_302]) ).
tcf(c_287705,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vbinop(X0_vExp,X0_vBinOpT,vqvar(sK50(X0_vQMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_306]) ).
tcf(c_287706,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(sK53(X0_vQMap)))) = vsomeAType(sK52(sK53(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_282096,c_282085]) ).
tcf(c_287707,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(sK53(X0_vQMap)))) = vsomeAType(sK52(sK53(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_282096,c_282084]) ).
tcf(c_287716,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vqvar(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vsomeAType(sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) ) ),
inference(light_normalisation,[status(thm)],[c_287695,c_93]) ).
tcf(c_287717,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vqvar(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vsomeAType(sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_287716,c_256]) ).
tcf(c_287744,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vquestion(sK50(X0_vQMap),X0_vLabel,X0_vAType)),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_440]) ).
tcf(c_287745,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vLabel: vLabel,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vdefquestion(sK50(X0_vQMap),X0_vLabel,X0_vAType)),vMC(X0_vATMap,vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap))))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_382]) ).
tcf(c_287746,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap),vtypeQM(X0_vQMap)))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(sK50(X0_vQMap))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_361]) ).
tcf(c_287747,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vQMap = vqmempty )
| ( vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282097,c_358]) ).
tcf(c_287748,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( X0_vQMap = vqmempty )
| ( vecheck(vtypeQM(X0_vQMap),vbinop(vqvar(sK50(X0_vQMap)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_305]) ).
tcf(c_287749,plain,
! [X0_vQMap: vQMap,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( X0_vQMap = vqmempty )
| ( vecheck(vtypeQM(X0_vQMap),vunop(X0_vUnOpT,vqvar(sK50(X0_vQMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_304]) ).
tcf(c_287750,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK50(X0_vQMap)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_303]) ).
tcf(c_287751,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqcond(vqvar(sK50(X0_vQMap)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( X0_vQMap = vqmempty )
| ~ vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282097,c_302]) ).
tcf(c_287752,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( X0_vQMap = vqmempty )
| ( vecheck(vtypeQM(X0_vQMap),vbinop(X0_vExp,X0_vBinOpT,vqvar(sK50(X0_vQMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_306]) ).
tcf(c_287753,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(sK53(X0_vQMap)))) = vsomeAType(sK52(sK53(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_282097,c_282085]) ).
tcf(c_287754,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(sK53(X0_vQMap)))) = vsomeAType(sK52(sK53(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_282097,c_282084]) ).
tcf(c_287786,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281508,c_282112]) ).
tcf(c_287787,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281521,c_282112]) ).
tcf(c_287788,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281522,c_282112]) ).
tcf(c_287789,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281097,c_282112]) ).
tcf(c_287790,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( sK47(X0_vAnsMap) = X0_vQID )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_85,c_282112]) ).
tcf(c_287791,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_83,c_282112]) ).
tcf(c_287792,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_238,c_282112]) ).
tcf(c_287793,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vAnsMap: vAnsMap,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeAM(vabind(X1_vQID,X1_vAval,X1_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_87,c_282112]) ).
tcf(c_287794,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_282112]) ).
tcf(c_287795,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_282112]) ).
tcf(c_287796,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282112]) ).
tcf(c_287825,plain,
sK42(vQC(sK34,sK33,vq2)) = sK34,
inference(superposition,[status(thm)],[c_287329,c_285109]) ).
tcf(c_287826,plain,
sK43(vQC(sK34,sK33,vq2)) = sK37,
inference(superposition,[status(thm)],[c_287329,c_285101]) ).
tcf(c_287827,plain,
! [X0_vQConf: vQConf] :
( ( sK42(X0_vQConf) = sK34 )
| ( vQC(sK34,sK33,vq2) != X0_vQConf ) ),
inference(superposition,[status(thm)],[c_287329,c_280964]) ).
tcf(c_287828,plain,
! [X0_vQConf: vQConf] :
( ( sK43(X0_vQConf) = sK37 )
| ( vQC(sK34,sK33,vq2) != X0_vQConf ) ),
inference(superposition,[status(thm)],[c_287329,c_280963]) ).
tcf(c_287829,plain,
sK44(vQC(sK34,sK33,vq2)) = sK32,
inference(superposition,[status(thm)],[c_287329,c_285086]) ).
tcf(c_287830,plain,
! [X0_vQConf: vQConf] :
( ( sK44(X0_vQConf) = sK32 )
| ( vQC(sK34,sK33,vq2) != X0_vQConf ) ),
inference(superposition,[status(thm)],[c_287329,c_280962]) ).
tcf(c_287831,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK37)),sK32,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(sK34,sK33,vq2)) != vreduce(vq2,X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_287329,c_82]) ).
tcf(c_287832,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK37)),sK32,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(sK34,sK33,vq2)) != vreduce(vq1,X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_287329,c_78]) ).
tcf(c_287836,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQuestionnaire = sK32 )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != vQC(sK34,sK33,vq2) ) ),
inference(superposition,[status(thm)],[c_287329,c_73]) ).
tcf(c_287837,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = sK37 )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != vQC(sK34,sK33,vq2) ) ),
inference(superposition,[status(thm)],[c_287329,c_72]) ).
tcf(c_287838,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vAnsMap = sK34 )
| ( vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire) != vQC(sK34,sK33,vq2) ) ),
inference(superposition,[status(thm)],[c_287329,c_71]) ).
tcf(c_287864,plain,
sK33 = sK37,
inference(demodulation,[status(thm)],[c_287826,c_285101]) ).
tcf(c_287865,plain,
vQC(sK34,sK33,vq2) = vQC(sK34,sK33,sK32),
inference(demodulation,[status(thm)],[c_287329,c_287864]) ).
tcf(c_287866,plain,
~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),sK32,vMC(sK35,sK31)),
inference(demodulation,[status(thm)],[c_49,c_287864]) ).
tcf(c_287874,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_282113]) ).
tcf(c_287875,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_282113]) ).
tcf(c_287876,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vATMap = vatmempty )
| ( sK50(X0_vQMap) = sK101(X0_vATMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282113]) ).
tcf(c_287877,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vQID )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmbind(X1_vQID,X1_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_93,c_282113]) ).
tcf(c_287890,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmbind(X1_vQID,X1_vAType,X0_vATMap) ) ),
inference(light_normalisation,[status(thm)],[c_287877,c_93]) ).
tcf(c_287891,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmbind(X1_vQID,X1_vAType,X0_vATMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287890,c_256]) ).
tcf(c_287910,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_282114]) ).
tcf(c_287911,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_282114]) ).
tcf(c_287912,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK50(X0_vQMap) = sK101(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282114]) ).
tcf(c_287932,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeOf(vT(X0_vstring)) = X0_vAType )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281508,c_282131]) ).
tcf(c_287933,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeOf(vNum(X0_vnat)) = X0_vAType )
| ( vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281521,c_282131]) ).
tcf(c_287934,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeOf(vB(X0_vYN)) = X0_vAType )
| ( vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281522,c_282131]) ).
tcf(c_287935,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeOf(X0_vAval) = X0_vAType )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281097,c_282131]) ).
tcf(c_287936,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeOf(sK48(X0_vAnsMap)) = X0_vAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_85,c_282131]) ).
tcf(c_287937,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK48(X0_vAnsMap)) = X0_vAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_83,c_282131]) ).
tcf(c_287938,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(X0_vAnsMap)) = X0_vAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_238,c_282131]) ).
tcf(c_287939,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vAnsMap: vAnsMap,X1_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vtypeOf(X1_vAval) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeAM(vabind(X1_vQID,X1_vAval,X1_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_87,c_282131]) ).
tcf(c_287940,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeOf(X0_vAval) = sK52(X0_vQMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_282131]) ).
tcf(c_287941,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vtypeOf(X0_vAval) = sK52(X0_vQMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_282131]) ).
tcf(c_287942,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( vtypeOf(X0_vAval) = sK102(X0_vATMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282131]) ).
tcf(c_287945,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vAType = vYesNo )
| ( vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(light_normalisation,[status(thm)],[c_287934,c_268]) ).
tcf(c_287948,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(light_normalisation,[status(thm)],[c_287933,c_267]) ).
tcf(c_287951,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vAType = vText )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(light_normalisation,[status(thm)],[c_287932,c_266]) ).
tcf(c_287984,plain,
vq2 = sK32,
inference(demodulation,[status(thm)],[c_287829,c_285086]) ).
tcf(c_287993,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( sK52(X0_vQMap) = sK52(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_282132]) ).
tcf(c_287994,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = sK52(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_282132]) ).
tcf(c_287995,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vATMap = vatmempty )
| ( sK52(X0_vQMap) = sK102(X0_vATMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282132]) ).
tcf(c_287996,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vAType )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmbind(X1_vQID,X1_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_93,c_282132]) ).
tcf(c_288009,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vAType )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmbind(X1_vQID,X1_vAType,X0_vATMap) ) ),
inference(light_normalisation,[status(thm)],[c_287996,c_93]) ).
tcf(c_288010,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vAType )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmbind(X1_vQID,X1_vAType,X0_vATMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288009,c_256]) ).
tcf(c_288027,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X0_vQMap) = sK52(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_282133]) ).
tcf(c_288028,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = sK52(X1_vQMap) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_282133]) ).
tcf(c_288029,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK52(X0_vQMap) = sK102(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282133]) ).
tcf(c_288049,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeAM(X0_vAnsMap) = X0_vATMap )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281508,c_282150]) ).
tcf(c_288050,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeAM(X0_vAnsMap) = X0_vATMap )
| ( vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281521,c_282150]) ).
tcf(c_288051,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeAM(X0_vAnsMap) = X0_vATMap )
| ( vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281522,c_282150]) ).
tcf(c_288052,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeAM(vaempty) = X0_vATMap )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_281097,c_282150]) ).
tcf(c_288053,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(sK49(X0_vAnsMap)) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_85,c_282150]) ).
tcf(c_288054,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK49(X0_vAnsMap)) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_83,c_282150]) ).
tcf(c_288055,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK91(X0_vAnsMap)) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_238,c_282150]) ).
tcf(c_288056,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vAnsMap: vAnsMap,X1_vQID: vQID] :
( ( vtypeAM(X0_vAnsMap) = vtypeAM(X1_vAnsMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeAM(vabind(X1_vQID,X1_vAval,X1_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_87,c_282150]) ).
tcf(c_288057,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeAM(X0_vAnsMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_282150]) ).
tcf(c_288058,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeAM(X0_vAnsMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_282150]) ).
tcf(c_288059,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( vtypeAM(X0_vAnsMap) = sK103(X0_vATMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282150]) ).
tcf(c_288060,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(light_normalisation,[status(thm)],[c_288052,c_88]) ).
tcf(c_288103,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK89(X0_vAnsMap),sK90(X0_vAnsMap),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_287437,c_238]) ).
tcf(c_288113,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK89(X0_vAnsMap),sK48(X0_vAnsMap),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_287674,c_238]) ).
tcf(c_288125,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeQM(sK53(X1_vQMap)) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_282151]) ).
tcf(c_288126,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeQM(sK53(X1_vQMap)) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_282151]) ).
tcf(c_288127,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vATMap = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = sK103(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282151]) ).
tcf(c_288128,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmbind(X1_vQID,X1_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_93,c_282151]) ).
tcf(c_288141,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmbind(X1_vQID,X1_vAType,X0_vATMap) ) ),
inference(light_normalisation,[status(thm)],[c_288128,c_93]) ).
tcf(c_288142,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( ( vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) != vatmbind(X1_vQID,X1_vAType,X0_vATMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288141,c_256]) ).
tcf(c_288157,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeQM(sK53(X1_vQMap)) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_282152]) ).
tcf(c_288158,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeQM(sK53(X1_vQMap)) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_282152]) ).
tcf(c_288159,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = sK103(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282152]) ).
tcf(c_288202,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK90(X0_vAnsMap),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_287682,c_238]) ).
tcf(c_288208,plain,
~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(sK35,sK31)),
inference(light_normalisation,[status(thm)],[c_287866,c_287984]) ).
tcf(c_288280,plain,
sK162(vsomeQConf(vQC(sK34,sK33,vq2))) = vQC(sK34,sK33,vq2),
inference(light_normalisation,[status(thm)],[c_287080,c_287328,c_287864,c_287984]) ).
tcf(c_288370,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vlookupAnsMap(X0_vQID,vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vsomeAval(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_286830,c_282595]) ).
tcf(c_288371,plain,
! [X0_vAnsMap: vAnsMap] :
( visSomeAval(vsomeAval(sK48(X0_vAnsMap)))
| ( X0_vAnsMap = vaempty )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282595,c_356]) ).
tcf(c_288445,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vlookupAnsMap(sK47(X0_vAnsMap),X0_vAnsMap) = vsomeAval(sK90(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_287682,c_282596]) ).
tcf(c_288446,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vlookupAnsMap(sK47(X0_vAnsMap),X0_vAnsMap) = vsomeAval(sK90(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_286882,c_282596]) ).
tcf(c_288447,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vlookupAnsMap(X0_vQID,vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vsomeAval(sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_287421,c_282596]) ).
tcf(c_288448,plain,
! [X0_vAnsMap: vAnsMap] :
( visSomeAval(vsomeAval(sK90(X0_vAnsMap)))
| ( X0_vAnsMap = vaempty )
| ( vreduceExp(vqvar(sK89(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282596,c_356]) ).
tcf(c_288461,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vOptAType = vnoAType )
| ( sK146(vsomeAType(sK122(X0_vOptAType))) = X0_vAType )
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_282843]) ).
tcf(c_288462,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vOptAType = vnoAType )
| ( sK146(vsomeAType(sK146(X0_vOptAType))) = X0_vAType )
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_282843]) ).
tcf(c_288463,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( sK146(vsomeAType(sK146(vsomeAType(X0_vAType)))) = X1_vAType )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_282056,c_282843]) ).
tcf(c_288464,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vOptAType = vnoAType )
| ( sK146(vsomeAType(X0_vAType)) = sK122(X0_vOptAType) )
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_282843]) ).
tcf(c_288465,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vOptAType = vnoAType )
| ( sK146(vsomeAType(X0_vAType)) = sK146(X0_vOptAType) )
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_282843]) ).
tcf(c_288466,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( sK146(vsomeAType(X0_vAType)) = sK146(vsomeAType(X1_vAType)) )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_282056,c_282843]) ).
tcf(c_288467,plain,
! [X0_vAType: vAType] : sK146(vsomeAType(X0_vAType)) = X0_vAType,
inference(equality_resolution,[status(thm)],[c_282843]) ).
tcf(c_288519,plain,
! [X0_vATMap: vATMap,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(sK101(X0_vATMap),X0_vLabel,X0_vAType)),vMC(vatmbind(sK101(X0_vATMap),X0_vAType,X0_vATMap),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_440]) ).
tcf(c_288520,plain,
! [X0_vATMap: vATMap,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vdefquestion(sK101(X0_vATMap),X0_vLabel,X0_vAType)),vMC(X1_vATMap,vatmbind(sK101(X0_vATMap),X0_vAType,X0_vATMap)))
| ( X0_vATMap = vatmempty )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_382]) ).
tcf(c_288521,plain,
! [X0_vATMap: vATMap,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(sK101(X1_vATMap))),vMC(vatmbind(sK101(X1_vATMap),X0_vAType,X0_vATMap),X1_vATMap))
| ( X1_vATMap = vatmempty )
| ( vsomeAType(sK102(X1_vATMap)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(sK101(X1_vATMap))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_361]) ).
tcf(c_288522,plain,
! [X0_vATMap: vATMap,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( vatmbind(sK101(X0_vATMap),X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK101(X0_vATMap))),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(sK102(X0_vATMap)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282321,c_358]) ).
tcf(c_288523,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)))) = vsomeAType(sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap))) ) ),
inference(superposition,[status(thm)],[c_282321,c_239]) ).
tcf(c_288525,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(sK102(X0_vATMap)))
| ( X0_vATMap = vatmempty )
| ( vecheck(X0_vATMap,vbinop(vqvar(sK101(X0_vATMap)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_305]) ).
tcf(c_288526,plain,
! [X0_vATMap: vATMap,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(sK102(X0_vATMap)))
| ( X0_vATMap = vatmempty )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vqvar(sK101(X0_vATMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_304]) ).
tcf(c_288527,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK101(X0_vATMap)))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( vsomeAType(sK102(X0_vATMap)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_303]) ).
tcf(c_288528,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vqvar(sK101(X0_vATMap)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vATMap = vatmempty )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(sK102(X0_vATMap)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282321,c_302]) ).
tcf(c_288529,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(sK102(X0_vATMap)))
| ( X0_vATMap = vatmempty )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vqvar(sK101(X0_vATMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_306]) ).
tcf(c_288530,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = X0_vQID )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))))) = vsomeAType(sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) ) ),
inference(superposition,[status(thm)],[c_282321,c_282083]) ).
tcf(c_288531,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK101(vtypeQM(sK53(X0_vQMap))) = sK50(X0_vQMap) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK101(vtypeQM(sK53(X0_vQMap))))) = vsomeAType(sK102(vtypeQM(sK53(X0_vQMap)))) ) ),
inference(superposition,[status(thm)],[c_282321,c_282085]) ).
tcf(c_288532,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK101(vtypeQM(sK53(X0_vQMap))) = sK50(X0_vQMap) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK101(vtypeQM(sK53(X0_vQMap))))) = vsomeAType(sK102(vtypeQM(sK53(X0_vQMap)))) ) ),
inference(superposition,[status(thm)],[c_282321,c_282084]) ).
tcf(c_288533,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)))) = vsomeAType(sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288523,c_256]) ).
tcf(c_288548,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = X0_vQID )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))))) = vsomeAType(sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288530,c_281715]) ).
tcf(c_288580,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(vatmbind(X0_vQID,X0_vAType,sK103(X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_440]) ).
tcf(c_288581,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,sK103(X0_vATMap)),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),vMC(X1_vATMap,vatmbind(X0_vQID,X0_vAType,sK103(X0_vATMap))))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_382]) ).
tcf(c_288582,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,sK103(X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X1_vATMap),sK103(X0_vATMap)))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282322,c_361]) ).
tcf(c_288583,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,sK103(X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282322,c_358]) ).
tcf(c_288584,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X0_vQID)))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(sK103(X0_vATMap),vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_305]) ).
tcf(c_288585,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X0_vQID)))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(sK103(X0_vATMap),vunop(X0_vUnOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_304]) ).
tcf(c_288586,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vMC(vatmbind(X0_vQID,X0_vAType,sK103(X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X1_vQID )
| ( vecheck(X0_vATMap,vqvar(X1_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(sK103(X0_vATMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_303]) ).
tcf(c_288587,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ~ vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282322,c_302]) ).
tcf(c_288588,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X0_vQID)))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(sK103(X0_vATMap),vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_306]) ).
tcf(c_288589,plain,
! [X0_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( sK103(X0_vATMap) = vatmempty )
| ( sK101(sK103(X0_vATMap)) = sK101(X0_vATMap) )
| ( vecheck(X0_vATMap,vqvar(sK101(sK103(X0_vATMap)))) = vsomeAType(sK102(sK103(X0_vATMap))) ) ),
inference(superposition,[status(thm)],[c_282322,c_282321]) ).
tcf(c_288643,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( sK146(vsomeAType(X0_vAType)) = vYesNo )
| ( sK146(vsomeAType(X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_288467]) ).
tcf(c_288644,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( sK122(X0_vOptAType) = sK146(X0_vOptAType) ) ),
inference(superposition,[status(thm)],[c_299,c_288467]) ).
tcf(c_288652,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( sK146(X0_vOptAType) = vYesNo )
| ( sK146(X0_vOptAType) = vNumber )
| ( sK122(X0_vOptAType) = vText ) ),
inference(superposition,[status(thm)],[c_368,c_288644]) ).
tcf(c_288655,plain,
! [X0_vAType: vAType] :
( ( vsomeAType(X0_vAType) = vnoAType )
| ( sK122(vsomeAType(X0_vAType)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_288644,c_288467]) ).
tcf(c_288656,plain,
! [X0_vAType: vAType] : sK122(vsomeAType(X0_vAType)) = X0_vAType,
inference(forward_subsumption_resolution,[status(thm)],[c_288655,c_297]) ).
tcf(c_288670,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( X0_vATMap = vatmempty )
| ( sK103(X0_vATMap) = sK103(X1_vATMap) )
| ( X0_vATMap != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282324]) ).
tcf(c_288671,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( sK103(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X0_vATMap ) ),
inference(equality_resolution,[status(thm)],[c_282324]) ).
tcf(c_288672,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : sK103(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X0_vATMap,
inference(forward_subsumption_resolution,[status(thm)],[c_288671,c_256]) ).
tcf(c_288723,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = sK102(X1_vATMap) )
| ( X0_vATMap != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282325]) ).
tcf(c_288724,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X0_vAType ) ),
inference(equality_resolution,[status(thm)],[c_282325]) ).
tcf(c_288725,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X0_vAType,
inference(forward_subsumption_resolution,[status(thm)],[c_288724,c_256]) ).
tcf(c_288740,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = sK101(X1_vATMap) )
| ( X0_vATMap != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_257,c_282326]) ).
tcf(c_288741,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X0_vQID ) ),
inference(equality_resolution,[status(thm)],[c_282326]) ).
tcf(c_288742,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X0_vQID,
inference(forward_subsumption_resolution,[status(thm)],[c_288741,c_256]) ).
tcf(c_288748,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( sK122(vsomeAType(X0_vAType)) = vYesNo )
| ( sK122(vsomeAType(X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_288656]) ).
tcf(c_288751,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK103(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vtypeAM(X0_vAnsMap),
inference(superposition,[status(thm)],[c_87,c_288672]) ).
tcf(c_288752,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = sK103(vtypeQM(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_92,c_288672]) ).
tcf(c_288753,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK53(X0_vQMap)) = sK103(vtypeQM(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_90,c_288672]) ).
tcf(c_288754,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X1_vQID)) = vecheck(X0_vATMap,vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_288672,c_282322]) ).
tcf(c_288755,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( vatmbind(sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)),sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X0_vATMap) = vatmbind(X0_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_288672,c_257]) ).
tcf(c_288761,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X1_vQID)) = vecheck(X0_vATMap,vqvar(X1_vQID)) ) ),
inference(light_normalisation,[status(thm)],[c_288754,c_288742]) ).
tcf(c_288772,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) )
| ( vB(sK104(sK155(X0_vExp))) = sK155(X0_vExp) )
| ( vNum(sK105(sK155(X0_vExp))) = sK155(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282182,c_282360]) ).
tcf(c_288773,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) )
| ( vB(sK104(sK156(X0_vExp))) = sK156(X0_vExp) )
| ( vNum(sK105(sK156(X0_vExp))) = sK156(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282214,c_282360]) ).
tcf(c_288774,plain,
! [X0_vnat: vnat] :
( ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vB(sK104(vNum(X0_vnat))) = vNum(X0_vnat) )
| ( vNum(sK105(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(superposition,[status(thm)],[c_282360,c_109]) ).
tcf(c_288775,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282360,c_305]) ).
tcf(c_288776,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vText))
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282360,c_304]) ).
tcf(c_288777,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(X0_vAval))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282360,c_303]) ).
tcf(c_288778,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(X0_vAval),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_282360,c_302]) ).
tcf(c_288779,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282360,c_306]) ).
tcf(c_288780,plain,
! [X0_vYN: vYN] :
( ( vsomeAType(vYesNo) = vsomeAType(vText) )
| ( vB(sK104(vB(X0_vYN))) = vB(X0_vYN) )
| ( vNum(sK105(vB(X0_vYN))) = vB(X0_vYN) ) ),
inference(superposition,[status(thm)],[c_282360,c_308]) ).
tcf(c_288781,plain,
! [X0_vYN: vYN] :
( ( vsomeAType(vYesNo) = vsomeAType(vText) )
| ( vB(sK104(vB(X0_vYN))) = vB(X0_vYN) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_288780,c_69]) ).
tcf(c_288818,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_282361]) ).
tcf(c_288819,plain,
! [X0_vYN: vYN] :
( ( vB(sK104(vB(X0_vYN))) = vB(X0_vYN) )
| ( vNum(sK105(vB(X0_vYN))) = vB(X0_vYN) ) ),
inference(equality_resolution,[status(thm)],[c_282361]) ).
tcf(c_288820,plain,
! [X0_vYN: vYN] : vB(sK104(vB(X0_vYN))) = vB(X0_vYN),
inference(forward_subsumption_resolution,[status(thm)],[c_288819,c_69]) ).
tcf(c_288833,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_282362]) ).
tcf(c_288834,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_282362]) ).
tcf(c_288835,plain,
! [X0_vnat: vnat] :
( ( vB(sK104(vNum(X0_vnat))) = vNum(X0_vnat) )
| ( vNum(sK105(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(equality_resolution,[status(thm)],[c_282362]) ).
tcf(c_288849,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = vYesNo )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_288725]) ).
tcf(c_288850,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vtypeOf(X0_vAval),
inference(superposition,[status(thm)],[c_87,c_288725]) ).
tcf(c_288851,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = sK52(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_288725]) ).
tcf(c_288852,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK102(vtypeQM(X0_vQMap)) = sK52(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_288725]) ).
tcf(c_288853,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( vatmbind(sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X0_vAType,sK103(vatmbind(X0_vQID,X0_vAType,X0_vATMap))) = vatmbind(X0_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_288725,c_257]) ).
tcf(c_288861,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = X0_vQID,
inference(superposition,[status(thm)],[c_87,c_288742]) ).
tcf(c_288862,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK101(vtypeQM(X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_92,c_288742]) ).
tcf(c_288863,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK101(vtypeQM(X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_90,c_288742]) ).
tcf(c_288864,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X0_vQID)) = vsomeAType(sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap))) ) ),
inference(superposition,[status(thm)],[c_288742,c_282321]) ).
tcf(c_288865,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( vatmbind(X0_vQID,sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)),sK103(vatmbind(X0_vQID,X0_vAType,X0_vATMap))) = vatmbind(X0_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_288742,c_257]) ).
tcf(c_288873,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(global_subsumption_just,[status(thm)],[c_282379,c_74951,c_137704,c_161064]) ).
tcf(c_288880,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_264,c_288873]) ).
tcf(c_288881,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_262,c_288873]) ).
tcf(c_288882,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_260,c_288873]) ).
tcf(c_288883,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_258,c_288873]) ).
tcf(c_288884,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_288873]) ).
tcf(c_288915,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK155(X0_vExp)) = vText )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vNumber) )
| ( vB(sK104(sK155(X0_vExp))) = sK155(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282182,c_282382]) ).
tcf(c_288916,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK156(X0_vExp)) = vText )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vNumber) )
| ( vB(sK104(sK156(X0_vExp))) = sK156(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282214,c_282382]) ).
tcf(c_288917,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vNumber))
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282382,c_305]) ).
tcf(c_288918,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vNumber))
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282382,c_304]) ).
tcf(c_288919,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(X0_vAval))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282382,c_303]) ).
tcf(c_288920,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(X0_vAval),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vNumber) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282382,c_302]) ).
tcf(c_288921,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vNumber))
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282382,c_306]) ).
tcf(c_288954,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_282383]) ).
tcf(c_288963,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vyes) )
| ( sK104(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_81,c_288820]) ).
tcf(c_288964,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( vB(X0_vYN) = vB(X1_vYN) )
| ( sK104(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_280854,c_288820]) ).
tcf(c_288965,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( vB(X0_vYN) = vB(vno) )
| ( sK104(vB(X0_vYN)) = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_288820]) ).
tcf(c_288969,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK104(vB(X0_vYN)) = vno )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_288820,c_281075]) ).
tcf(c_288973,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( sK104(vB(X0_vYN)) = X1_vYN )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_288820,c_70]) ).
tcf(c_288975,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( sK104(vB(X1_vYN)) = X0_vYN )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_288820,c_70]) ).
tcf(c_288994,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = X0_vQID,
inference(superposition,[status(thm)],[c_281508,c_288861]) ).
tcf(c_288995,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK101(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) = X0_vQID,
inference(superposition,[status(thm)],[c_281521,c_288861]) ).
tcf(c_288996,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK101(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) = X0_vQID,
inference(superposition,[status(thm)],[c_281522,c_288861]) ).
tcf(c_288997,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : sK101(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) = X0_vQID,
inference(superposition,[status(thm)],[c_281097,c_288861]) ).
tcf(c_288998,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK101(vtypeAM(X0_vAnsMap)) = sK47(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_85,c_288861]) ).
tcf(c_288999,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK101(vtypeAM(X0_vAnsMap)) = sK47(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_83,c_288861]) ).
tcf(c_289000,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK101(vtypeAM(X0_vAnsMap)) = sK89(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_238,c_288861]) ).
tcf(c_289001,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) ) ),
inference(superposition,[status(thm)],[c_288861,c_282321]) ).
tcf(c_289002,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vatmbind(X0_vQID,sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),sK103(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_288861,c_257]) ).
tcf(c_289019,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK105(X0_vAval) = sK105(X1_vAval) )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_282384]) ).
tcf(c_289020,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK105(X0_vAval) = sK105(X1_vAval) )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_282384]) ).
tcf(c_289021,plain,
! [X0_vnat: vnat] :
( ( sK105(vNum(X0_vnat)) = X0_vnat )
| ( vtypeOf(vNum(X0_vnat)) = vText )
| ( vB(sK104(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(equality_resolution,[status(thm)],[c_282384]) ).
tcf(c_289022,plain,
! [X0_vnat: vnat] :
( ( vNumber = vText )
| ( sK105(vNum(X0_vnat)) = X0_vnat )
| ( vB(sK104(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(light_normalisation,[status(thm)],[c_289021,c_267]) ).
tcf(c_289023,plain,
! [X0_vnat: vnat] :
( ( sK105(vNum(X0_vnat)) = X0_vnat )
| ( vB(sK104(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289022,c_366]) ).
tcf(c_289050,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK155(X0_vExp)) = vNumber )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) )
| ( vB(sK104(sK155(X0_vExp))) = sK155(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282182,c_282404]) ).
tcf(c_289051,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK156(X0_vExp)) = vNumber )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) )
| ( vB(sK104(sK156(X0_vExp))) = sK156(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282214,c_282404]) ).
tcf(c_289053,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282404,c_305]) ).
tcf(c_289054,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vText))
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282404,c_304]) ).
tcf(c_289055,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(X0_vAval))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282404,c_303]) ).
tcf(c_289056,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(X0_vAval),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_282404,c_302]) ).
tcf(c_289057,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282404,c_306]) ).
tcf(c_289089,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_282405]) ).
tcf(c_289099,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap),
inference(superposition,[status(thm)],[c_281508,c_288751]) ).
tcf(c_289100,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK103(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap),
inference(superposition,[status(thm)],[c_281521,c_288751]) ).
tcf(c_289101,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK103(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap),
inference(superposition,[status(thm)],[c_281522,c_288751]) ).
tcf(c_289102,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : sK103(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) = vtypeAM(vaempty),
inference(superposition,[status(thm)],[c_281097,c_288751]) ).
tcf(c_289103,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(sK49(X0_vAnsMap)) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_85,c_288751]) ).
tcf(c_289104,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK49(X0_vAnsMap)) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_83,c_288751]) ).
tcf(c_289105,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK91(X0_vAnsMap)) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_238,c_288751]) ).
tcf(c_289106,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = X1_vQID )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X1_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_288751,c_282322]) ).
tcf(c_289107,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vatmbind(sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),vtypeAM(X0_vAnsMap)) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_288751,c_257]) ).
tcf(c_289108,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : sK103(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) = vatmempty,
inference(light_normalisation,[status(thm)],[c_289102,c_88]) ).
tcf(c_289116,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X1_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) ) ),
inference(light_normalisation,[status(thm)],[c_289106,c_288861]) ).
tcf(c_289126,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vText )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vYesNo )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_288850]) ).
tcf(c_289129,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = vtypeOf(vT(X0_vstring)),
inference(superposition,[status(thm)],[c_281508,c_288850]) ).
tcf(c_289130,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] : sK102(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) = vtypeOf(vNum(X0_vnat)),
inference(superposition,[status(thm)],[c_281521,c_288850]) ).
tcf(c_289131,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK102(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) = vtypeOf(vB(X0_vYN)),
inference(superposition,[status(thm)],[c_281522,c_288850]) ).
tcf(c_289132,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : sK102(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) = vtypeOf(X0_vAval),
inference(superposition,[status(thm)],[c_281097,c_288850]) ).
tcf(c_289133,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeOf(sK48(X0_vAnsMap)) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_85,c_288850]) ).
tcf(c_289134,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK48(X0_vAnsMap)) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_83,c_288850]) ).
tcf(c_289135,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(X0_vAnsMap)) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_238,c_288850]) ).
tcf(c_289136,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vatmbind(sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),vtypeOf(X0_vAval),sK103(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_288850,c_257]) ).
tcf(c_289137,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK102(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) = vYesNo,
inference(light_normalisation,[status(thm)],[c_289131,c_268]) ).
tcf(c_289138,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK102(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) = vNumber,
inference(light_normalisation,[status(thm)],[c_289130,c_267]) ).
tcf(c_289139,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = vText,
inference(light_normalisation,[status(thm)],[c_289129,c_266]) ).
tcf(c_289154,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_282406]) ).
tcf(c_289155,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_282406]) ).
tcf(c_289178,plain,
! [X0_vAval: vAval] :
( ( vB(vno) = X0_vAval )
| ( vB(vyes) = X0_vAval )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_282431,c_261]) ).
tcf(c_289179,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) = vB(vyes) )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_282431,c_288820]) ).
tcf(c_289184,plain,
! [X0_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) = vB(vyes) ) ),
inference(light_normalisation,[status(thm)],[c_289179,c_268]) ).
tcf(c_289185,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) = vB(vyes) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289184,c_367,c_296]) ).
tcf(c_289201,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK155(X0_vExp)) = vText )
| ( vtypeOf(sK155(X0_vExp)) = vNumber )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282182,c_282432]) ).
tcf(c_289202,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK156(X0_vExp)) = vText )
| ( vtypeOf(sK156(X0_vExp)) = vNumber )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282214,c_282432]) ).
tcf(c_289204,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vYesNo))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(X0_vATMap,vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282432,c_305]) ).
tcf(c_289205,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vYesNo))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282432,c_304]) ).
tcf(c_289206,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(X0_vAval))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282432,c_303]) ).
tcf(c_289207,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(X0_vAval),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_282432,c_302]) ).
tcf(c_289208,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vYesNo))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282432,c_306]) ).
tcf(c_289242,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vText )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_288852]) ).
tcf(c_289243,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_93,c_288852]) ).
tcf(c_289245,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK101(vtypeQM(X0_vQMap)),sK52(X0_vQMap),sK103(vtypeQM(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_288852,c_257]) ).
tcf(c_289253,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_289243,c_281]) ).
tcf(c_289263,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_93,c_288863]) ).
tcf(c_289265,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(X0_vQMap))) = vsomeAType(sK102(vtypeQM(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_288863,c_282321]) ).
tcf(c_289266,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),sK102(vtypeQM(X0_vQMap)),sK103(vtypeQM(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_288863,c_257]) ).
tcf(c_289273,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_289263,c_281]) ).
tcf(c_289286,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_282436]) ).
tcf(c_289287,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_282436]) ).
tcf(c_289305,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( sK47(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = sK101(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3396,c_288999]) ).
tcf(c_289306,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( sK47(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = sK101(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3355,c_288999]) ).
tcf(c_289307,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap) = vaempty )
| ( sK47(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281508,c_288999]) ).
tcf(c_289308,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] :
( ( vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap) = vaempty )
| ( sK47(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281521,c_288999]) ).
tcf(c_289309,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap) = vaempty )
| ( sK47(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281522,c_288999]) ).
tcf(c_289310,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( sK101(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) = sK47(vabind(X0_vQID,X0_vAval,vaempty)) ) ),
inference(superposition,[status(thm)],[c_281097,c_288999]) ).
tcf(c_289311,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK47(X0_vAnsMap))) = vsomeAType(sK102(vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_288999,c_282321]) ).
tcf(c_289312,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK47(X0_vAnsMap),sK102(vtypeAM(X0_vAnsMap)),sK103(vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_288999,c_257]) ).
tcf(c_289314,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : sK101(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) = sK47(vabind(X0_vQID,X0_vAval,vaempty)),
inference(forward_subsumption_resolution,[status(thm)],[c_289310,c_237]) ).
tcf(c_289321,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK47(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_289309,c_237]) ).
tcf(c_289322,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] : sK47(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_289308,c_237]) ).
tcf(c_289323,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK47(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_289307,c_237]) ).
tcf(c_289324,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK47(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = sK101(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289306,c_237]) ).
tcf(c_289327,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK47(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = sK101(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289305,c_237]) ).
tcf(c_289346,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( sK89(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = sK101(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3396,c_289000]) ).
tcf(c_289347,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( sK89(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = sK101(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3355,c_289000]) ).
tcf(c_289348,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap) = vaempty )
| ( sK89(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281508,c_289000]) ).
tcf(c_289349,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] :
( ( vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap) = vaempty )
| ( sK89(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281521,c_289000]) ).
tcf(c_289350,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap) = vaempty )
| ( sK89(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281522,c_289000]) ).
tcf(c_289351,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( sK101(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) = sK89(vabind(X0_vQID,X0_vAval,vaempty)) ) ),
inference(superposition,[status(thm)],[c_281097,c_289000]) ).
tcf(c_289352,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK89(X0_vAnsMap))) = vsomeAType(sK102(vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_289000,c_282321]) ).
tcf(c_289353,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK89(X0_vAnsMap),sK102(vtypeAM(X0_vAnsMap)),sK103(vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289000,c_257]) ).
tcf(c_289356,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( sK47(vabind(X0_vQID,X0_vAval,vaempty)) = sK89(vabind(X0_vQID,X0_vAval,vaempty)) ) ),
inference(light_normalisation,[status(thm)],[c_289351,c_289314]) ).
tcf(c_289357,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : sK47(vabind(X0_vQID,X0_vAval,vaempty)) = sK89(vabind(X0_vQID,X0_vAval,vaempty)),
inference(forward_subsumption_resolution,[status(thm)],[c_289356,c_237]) ).
tcf(c_289364,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK89(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_289350,c_237]) ).
tcf(c_289365,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] : sK89(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_289349,c_237]) ).
tcf(c_289366,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : sK89(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap)) = sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_289348,c_237]) ).
tcf(c_289367,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK89(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = sK101(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289347,c_237]) ).
tcf(c_289370,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK89(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = sK101(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289346,c_237]) ).
tcf(c_289393,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK104(X0_vAval) = sK104(X1_vAval) )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_282437]) ).
tcf(c_289394,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK104(vB(X0_vYN)) = sK104(X0_vAval) )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_288820,c_282437]) ).
tcf(c_289395,plain,
! [X0_vYN: vYN] :
( ( sK104(vB(X0_vYN)) = X0_vYN )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(equality_resolution,[status(thm)],[c_282437]) ).
tcf(c_289396,plain,
! [X0_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( sK104(vB(X0_vYN)) = X0_vYN ) ),
inference(light_normalisation,[status(thm)],[c_289395,c_268]) ).
tcf(c_289397,plain,
! [X0_vYN: vYN] : sK104(vB(X0_vYN)) = X0_vYN,
inference(forward_subsumption_resolution,[status(thm)],[c_289396,c_367,c_296]) ).
tcf(c_289426,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK155(X0_vExp)) = vYesNo )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) )
| ( vNum(sK105(sK155(X0_vExp))) = sK155(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282182,c_282464]) ).
tcf(c_289427,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK156(X0_vExp)) = vYesNo )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) )
| ( vNum(sK105(sK156(X0_vExp))) = sK156(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282214,c_282464]) ).
tcf(c_289428,plain,
! [X0_vnat: vnat] :
( ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vtypeOf(vNum(X0_vnat)) = vYesNo )
| ( vNum(sK105(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(superposition,[status(thm)],[c_282464,c_109]) ).
tcf(c_289429,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282464,c_305]) ).
tcf(c_289430,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vText))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282464,c_304]) ).
tcf(c_289431,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(X0_vAval))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282464,c_303]) ).
tcf(c_289432,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(X0_vAval),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_282464,c_302]) ).
tcf(c_289433,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282464,c_306]) ).
tcf(c_289435,plain,
! [X0_vAval: vAval] :
( ( vsomeAType(vYesNo) = vsomeAType(vText) )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vNum(sK105(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_282464,c_282432]) ).
tcf(c_289436,plain,
! [X0_vAval: vAval] :
( ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_282464,c_282382]) ).
tcf(c_289437,plain,
! [X0_vnat: vnat] :
( ( vNumber = vYesNo )
| ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vNum(sK105(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(light_normalisation,[status(thm)],[c_289428,c_267]) ).
tcf(c_289438,plain,
! [X0_vnat: vnat] :
( ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vNum(sK105(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289437,c_296]) ).
tcf(c_289484,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_282465]) ).
tcf(c_289494,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vyes )
| ( sK104(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_81,c_289397]) ).
tcf(c_289495,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( sK104(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_280854,c_289397]) ).
tcf(c_289496,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( sK104(vB(X0_vYN)) = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_289397]) ).
tcf(c_289497,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(vyes) )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_282431,c_289397]) ).
tcf(c_289502,plain,
! [X0_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(vyes) ) ),
inference(light_normalisation,[status(thm)],[c_289497,c_268]) ).
tcf(c_289503,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(vyes) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289502,c_367,c_296]) ).
tcf(c_289519,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(superposition,[status(thm)],[c_280854,c_289503]) ).
tcf(c_289520,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vno )
| ( sK104(vB(vyes)) = X0_vYN ) ),
inference(superposition,[status(thm)],[c_289503,c_289397]) ).
tcf(c_289521,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289503,c_282465]) ).
tcf(c_289522,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289503,c_282437]) ).
tcf(c_289523,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289503,c_282405]) ).
tcf(c_289524,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289503,c_282383]) ).
tcf(c_289525,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289503,c_282361]) ).
tcf(c_289526,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vYN = vno )
| ( vtypeAM(vabind(X0_vQID,vB(vyes),X0_vAnsMap)) = vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_289503,c_281522]) ).
tcf(c_289528,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap] :
( ( X0_vYN = vno )
| ( vecheck(X0_vATMap,vconstant(vB(vyes))) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_289503,c_308]) ).
tcf(c_289529,plain,
! [X0_vYN: vYN,X0_vstring: vstring] :
( ( X0_vYN = vno )
| ( vT(X0_vstring) != vB(vyes) ) ),
inference(superposition,[status(thm)],[c_289503,c_363]) ).
tcf(c_289530,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vno )
| ( vtypeOf(vB(vyes)) = vYesNo ) ),
inference(superposition,[status(thm)],[c_289503,c_268]) ).
tcf(c_289532,plain,
! [X0_vYN: vYN,X0_vnat: vnat] :
( ( X0_vYN = vno )
| ( vNum(X0_vnat) != vB(vyes) ) ),
inference(superposition,[status(thm)],[c_289503,c_69]) ).
tcf(c_289533,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vB(X0_vYN) != vB(vyes) ) ),
inference(superposition,[status(thm)],[c_289503,c_70]) ).
tcf(c_289535,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_289503,c_289503]) ).
tcf(c_289537,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vno )
| ( sK104(vB(X0_vYN)) = vyes ) ),
inference(superposition,[status(thm)],[c_289503,c_289397]) ).
tcf(c_289539,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( sK104(X0_vAval) = vyes )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289503,c_282437]) ).
tcf(c_289547,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_289503,c_70]) ).
tcf(c_289548,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vyes )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_289503,c_70]) ).
tcf(c_289610,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_282466]) ).
tcf(c_289611,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_282466]) ).
tcf(c_289612,plain,
! [X0_vnat: vnat] :
( ( vtypeOf(vNum(X0_vnat)) = vYesNo )
| ( vNum(sK105(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(equality_resolution,[status(thm)],[c_282466]) ).
tcf(c_289613,plain,
! [X0_vnat: vnat] :
( ( vNumber = vYesNo )
| ( vNum(sK105(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(light_normalisation,[status(thm)],[c_289612,c_267]) ).
tcf(c_289614,plain,
! [X0_vnat: vnat] : vNum(sK105(vNum(X0_vnat))) = vNum(X0_vnat),
inference(forward_subsumption_resolution,[status(thm)],[c_289613,c_296]) ).
tcf(c_289640,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK155(X0_vExp)) = vText )
| ( vtypeOf(sK155(X0_vExp)) = vYesNo )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_282182,c_282486]) ).
tcf(c_289641,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK156(X0_vExp)) = vText )
| ( vtypeOf(sK156(X0_vExp)) = vYesNo )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_282214,c_282486]) ).
tcf(c_289642,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vNumber))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vecheck(X0_vATMap,vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282486,c_305]) ).
tcf(c_289643,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vNumber))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282486,c_304]) ).
tcf(c_289644,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(X0_vAval))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282486,c_303]) ).
tcf(c_289645,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(X0_vAval),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vNumber) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282486,c_302]) ).
tcf(c_289646,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vNumber))
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282486,c_306]) ).
tcf(c_289650,plain,
! [X0_vAval: vAval] :
( ( vsomeAType(vNumber) = vsomeAType(vYesNo) )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_282486,c_282432]) ).
tcf(c_289651,plain,
! [X0_vAval: vAval] :
( ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_282486,c_282404]) ).
tcf(c_289693,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( vtypeOf(X0_vAval) = vText )
| ( sK105(vNum(X0_vnat)) = sK105(X0_vAval) )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289614,c_282384]) ).
tcf(c_289698,plain,
! [X0_vnat: vnat,X1_vnat: vnat] :
( ( sK105(vNum(X0_vnat)) = X1_vnat )
| ( vNum(X0_vnat) != vNum(X1_vnat) ) ),
inference(superposition,[status(thm)],[c_289614,c_134]) ).
tcf(c_289701,plain,
! [X0_vnat: vnat,X1_vnat: vnat] :
( ( sK105(vNum(X1_vnat)) = X0_vnat )
| ( vNum(X0_vnat) != vNum(X1_vnat) ) ),
inference(superposition,[status(thm)],[c_289614,c_134]) ).
tcf(c_289720,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289503,c_282487]) ).
tcf(c_289721,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_282487]) ).
tcf(c_289745,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK105(X0_vAval) = sK105(X1_vAval) )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_282488]) ).
tcf(c_289746,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK105(X0_vAval) = sK105(X1_vAval) )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_282488]) ).
tcf(c_289747,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( sK105(vNum(X0_vnat)) = sK105(X0_vAval) )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289614,c_282488]) ).
tcf(c_289748,plain,
! [X0_vnat: vnat] :
( ( sK105(vNum(X0_vnat)) = X0_vnat )
| ( vtypeOf(vNum(X0_vnat)) = vText )
| ( vtypeOf(vNum(X0_vnat)) = vYesNo ) ),
inference(equality_resolution,[status(thm)],[c_282488]) ).
tcf(c_289749,plain,
! [X0_vnat: vnat] :
( ( vNumber = vText )
| ( vNumber = vYesNo )
| ( sK105(vNum(X0_vnat)) = X0_vnat ) ),
inference(light_normalisation,[status(thm)],[c_289748,c_267]) ).
tcf(c_289750,plain,
! [X0_vnat: vnat] : sK105(vNum(X0_vnat)) = X0_vnat,
inference(forward_subsumption_resolution,[status(thm)],[c_289749,c_366,c_296]) ).
tcf(c_289782,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK155(X0_vExp)) = vYesNo )
| ( vtypeOf(sK155(X0_vExp)) = vNumber )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_282182,c_282525]) ).
tcf(c_289783,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vtypeOf(sK156(X0_vExp)) = vYesNo )
| ( vtypeOf(sK156(X0_vExp)) = vNumber )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_282214,c_282525]) ).
tcf(c_289785,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(X0_vATMap,vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282525,c_305]) ).
tcf(c_289786,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vText))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282525,c_304]) ).
tcf(c_289787,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(X0_vAval))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282525,c_303]) ).
tcf(c_289788,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(X0_vAval),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_282525,c_302]) ).
tcf(c_289789,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282525,c_306]) ).
tcf(c_289791,plain,
! [X0_vAval: vAval] :
( ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_282525,c_282486]) ).
tcf(c_289792,plain,
! [X0_vAval: vAval] :
( ( vsomeAType(vYesNo) = vsomeAType(vText) )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_282525,c_282432]) ).
tcf(c_289833,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_93,c_288753]) ).
tcf(c_289835,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK101(vtypeQM(X0_vQMap)) = X0_vQID )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_288753,c_282322]) ).
tcf(c_289836,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK101(vtypeQM(X0_vQMap)),sK102(vtypeQM(X0_vQMap)),vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_288753,c_257]) ).
tcf(c_289840,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_289833,c_281]) ).
tcf(c_289856,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289503,c_282526]) ).
tcf(c_289857,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_282526]) ).
tcf(c_289877,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_282527]) ).
tcf(c_289878,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_282527]) ).
tcf(c_289918,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vText )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_288851]) ).
tcf(c_289921,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK101(vtypeQM(X0_vQMap)),sK52(X0_vQMap),sK103(vtypeQM(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_288851,c_257]) ).
tcf(c_289934,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(X0_vQMap))) = vsomeAType(sK102(vtypeQM(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_288862,c_282321]) ).
tcf(c_289935,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),sK102(vtypeQM(X0_vQMap)),sK103(vtypeQM(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_288862,c_257]) ).
tcf(c_289964,plain,
! [X0_vOptExp: vOptExp,X1_vOptExp: vOptExp] :
( ( X1_vOptExp = vnoExp )
| ( X0_vOptExp = vnoExp )
| ( sK74(X0_vOptExp) = sK123(X1_vOptExp) )
| ( X0_vOptExp != X1_vOptExp ) ),
inference(superposition,[status(thm)],[c_281551,c_282563]) ).
tcf(c_289965,plain,
! [X0_vOptExp: vOptExp,X1_vOptExp: vOptExp] :
( ( X1_vOptExp = vnoExp )
| ( X0_vOptExp = vnoExp )
| ( sK123(X0_vOptExp) = sK123(X1_vOptExp) )
| ( X0_vOptExp != X1_vOptExp ) ),
inference(superposition,[status(thm)],[c_339,c_282563]) ).
tcf(c_289966,plain,
! [X0_vOptExp: vOptExp,X1_vOptExp: vOptExp] :
( ( X1_vOptExp = vnoExp )
| ( X0_vOptExp = vnoExp )
| ( vgetExp(X0_vOptExp) = sK123(X1_vOptExp) )
| ( X0_vOptExp != X1_vOptExp ) ),
inference(superposition,[status(thm)],[c_283085,c_282563]) ).
tcf(c_289967,plain,
! [X0_vExp: vExp] :
( ( vsomeExp(X0_vExp) = vnoExp )
| ( sK123(vsomeExp(X0_vExp)) = X0_vExp ) ),
inference(equality_resolution,[status(thm)],[c_282563]) ).
tcf(c_289968,plain,
! [X0_vExp: vExp] : sK123(vsomeExp(X0_vExp)) = X0_vExp,
inference(forward_subsumption_resolution,[status(thm)],[c_289967,c_338]) ).
tcf(c_290023,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vlookupAnsMap(X0_vQID,vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vsomeAval(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_286830,c_282594]) ).
tcf(c_290024,plain,
! [X0_vAnsMap: vAnsMap] :
( visSomeAval(vsomeAval(sK48(X0_vAnsMap)))
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282594,c_356]) ).
tcf(c_290086,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK47(X0_vAnsMap))) = vsomeAType(sK102(vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_288998,c_282321]) ).
tcf(c_290087,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK47(X0_vAnsMap),sK102(vtypeAM(X0_vAnsMap)),sK103(vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_288998,c_257]) ).
tcf(c_290100,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( vtypeAM(sK49(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3396,c_289104]) ).
tcf(c_290101,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( vtypeAM(sK49(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3355,c_289104]) ).
tcf(c_290102,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap) = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281508,c_289104]) ).
tcf(c_290103,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] :
( ( vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap) = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281521,c_289104]) ).
tcf(c_290104,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap) = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281522,c_289104]) ).
tcf(c_290105,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,vaempty))) = sK103(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) ) ),
inference(superposition,[status(thm)],[c_281097,c_289104]) ).
tcf(c_290106,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK101(vtypeAM(X0_vAnsMap)) = X0_vQID )
| ( vecheck(vtypeAM(sK49(X0_vAnsMap)),vqvar(X0_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_289104,c_282322]) ).
tcf(c_290107,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK101(vtypeAM(X0_vAnsMap)),sK102(vtypeAM(X0_vAnsMap)),vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289104,c_257]) ).
tcf(c_290108,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289104,c_288751]) ).
tcf(c_290110,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : vtypeAM(sK49(vabind(X0_vQID,X0_vAval,vaempty))) = sK103(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)),
inference(forward_subsumption_resolution,[status(thm)],[c_290105,c_237]) ).
tcf(c_290114,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeAM(sK49(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290104,c_237]) ).
tcf(c_290115,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] : vtypeAM(sK49(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290103,c_237]) ).
tcf(c_290116,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeAM(sK49(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290102,c_237]) ).
tcf(c_290121,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK49(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290101,c_237]) ).
tcf(c_290124,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(sK49(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290100,c_237]) ).
tcf(c_290213,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( vtypeAM(sK91(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3396,c_289105]) ).
tcf(c_290214,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( vtypeAM(sK91(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3355,c_289105]) ).
tcf(c_290215,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap) = vaempty )
| ( vtypeAM(sK91(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281508,c_289105]) ).
tcf(c_290216,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] :
( ( vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap) = vaempty )
| ( vtypeAM(sK91(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281521,c_289105]) ).
tcf(c_290217,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap) = vaempty )
| ( vtypeAM(sK91(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281522,c_289105]) ).
tcf(c_290218,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( vtypeAM(sK91(vabind(X0_vQID,X0_vAval,vaempty))) = sK103(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) ) ),
inference(superposition,[status(thm)],[c_281097,c_289105]) ).
tcf(c_290219,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK101(vtypeAM(X0_vAnsMap)) = X0_vQID )
| ( vecheck(vtypeAM(sK91(X0_vAnsMap)),vqvar(X0_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_289105,c_282322]) ).
tcf(c_290220,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK101(vtypeAM(X0_vAnsMap)),sK102(vtypeAM(X0_vAnsMap)),vtypeAM(sK91(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289105,c_257]) ).
tcf(c_290221,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(sK91(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289105,c_288751]) ).
tcf(c_290222,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK49(X0_vAnsMap)) = vtypeAM(sK91(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_289105,c_289104]) ).
tcf(c_290226,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,vaempty))) = vtypeAM(sK91(vabind(X0_vQID,X0_vAval,vaempty))) ) ),
inference(light_normalisation,[status(thm)],[c_290218,c_290110]) ).
tcf(c_290227,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : vtypeAM(sK49(vabind(X0_vQID,X0_vAval,vaempty))) = vtypeAM(sK91(vabind(X0_vQID,X0_vAval,vaempty))),
inference(forward_subsumption_resolution,[status(thm)],[c_290226,c_237]) ).
tcf(c_290231,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeAM(sK91(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290217,c_237]) ).
tcf(c_290232,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] : vtypeAM(sK91(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290216,c_237]) ).
tcf(c_290233,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeAM(sK91(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290215,c_237]) ).
tcf(c_290238,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK91(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290214,c_237]) ).
tcf(c_290241,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(sK91(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290213,c_237]) ).
tcf(c_290258,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK48(X0_vAnsMap)) = vText ) ),
inference(superposition,[status(thm)],[c_368,c_289134]) ).
tcf(c_290261,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( vtypeOf(sK48(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3396,c_289134]) ).
tcf(c_290262,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( vtypeOf(sK48(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3355,c_289134]) ).
tcf(c_290263,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap) = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281508,c_289134]) ).
tcf(c_290264,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] :
( ( vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap) = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281521,c_289134]) ).
tcf(c_290265,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap) = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281522,c_289134]) ).
tcf(c_290266,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,vaempty))) = sK102(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) ) ),
inference(superposition,[status(thm)],[c_281097,c_289134]) ).
tcf(c_290267,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK101(vtypeAM(X0_vAnsMap)),vtypeOf(sK48(X0_vAnsMap)),sK103(vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289134,c_257]) ).
tcf(c_290268,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vtypeOf(X0_vAval) ) ),
inference(superposition,[status(thm)],[c_289134,c_288850]) ).
tcf(c_290270,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : vtypeOf(sK48(vabind(X0_vQID,X0_vAval,vaempty))) = sK102(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)),
inference(forward_subsumption_resolution,[status(thm)],[c_290266,c_237]) ).
tcf(c_290278,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeOf(sK48(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290265,c_237]) ).
tcf(c_290279,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] : vtypeOf(sK48(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290264,c_237]) ).
tcf(c_290280,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeOf(sK48(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290263,c_237]) ).
tcf(c_290281,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK48(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290262,c_237]) ).
tcf(c_290284,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeOf(sK48(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290261,c_237]) ).
tcf(c_290373,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK90(X0_vAnsMap)) = vText ) ),
inference(superposition,[status(thm)],[c_368,c_289135]) ).
tcf(c_290377,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( vtypeOf(sK90(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3396,c_289135]) ).
tcf(c_290378,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = vaempty )
| ( vtypeOf(sK90(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3355,c_289135]) ).
tcf(c_290379,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap) = vaempty )
| ( vtypeOf(sK90(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281508,c_289135]) ).
tcf(c_290380,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] :
( ( vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap) = vaempty )
| ( vtypeOf(sK90(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281521,c_289135]) ).
tcf(c_290381,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap) = vaempty )
| ( vtypeOf(sK90(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_281522,c_289135]) ).
tcf(c_290382,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( vtypeOf(sK90(vabind(X0_vQID,X0_vAval,vaempty))) = sK102(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty)) ) ),
inference(superposition,[status(thm)],[c_281097,c_289135]) ).
tcf(c_290383,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK101(vtypeAM(X0_vAnsMap)),vtypeOf(sK90(X0_vAnsMap)),sK103(vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289135,c_257]) ).
tcf(c_290384,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeOf(sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vtypeOf(X0_vAval) ) ),
inference(superposition,[status(thm)],[c_289135,c_288850]) ).
tcf(c_290385,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK48(X0_vAnsMap)) = vtypeOf(sK90(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_289135,c_289134]) ).
tcf(c_290389,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,vaempty) = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,vaempty))) = vtypeOf(sK90(vabind(X0_vQID,X0_vAval,vaempty))) ) ),
inference(light_normalisation,[status(thm)],[c_290382,c_290270]) ).
tcf(c_290390,plain,
! [X0_vAval: vAval,X0_vQID: vQID] : vtypeOf(sK48(vabind(X0_vQID,X0_vAval,vaempty))) = vtypeOf(sK90(vabind(X0_vQID,X0_vAval,vaempty))),
inference(forward_subsumption_resolution,[status(thm)],[c_290389,c_237]) ).
tcf(c_290398,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeOf(sK90(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290381,c_237]) ).
tcf(c_290399,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] : vtypeOf(sK90(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290380,c_237]) ).
tcf(c_290400,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vtypeOf(sK90(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290379,c_237]) ).
tcf(c_290401,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290378,c_237]) ).
tcf(c_290404,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeOf(sK90(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_290377,c_237]) ).
tcf(c_290422,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(superposition,[status(thm)],[c_280854,c_289185]) ).
tcf(c_290423,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282526]) ).
tcf(c_290424,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282487]) ).
tcf(c_290425,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vno) )
| ( sK104(vB(vyes)) = X0_vYN ) ),
inference(superposition,[status(thm)],[c_289185,c_289397]) ).
tcf(c_290426,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(X0_vYN) = vB(vno) )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282465]) ).
tcf(c_290427,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282437]) ).
tcf(c_290428,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282405]) ).
tcf(c_290429,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282383]) ).
tcf(c_290430,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vB(X0_vYN) = vB(vno) )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282361]) ).
tcf(c_290431,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vB(X0_vYN) = vB(vno) )
| ( vtypeAM(vabind(X0_vQID,vB(vyes),X0_vAnsMap)) = vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_289185,c_281522]) ).
tcf(c_290433,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap] :
( ( vB(X0_vYN) = vB(vno) )
| ( vecheck(X0_vATMap,vconstant(vB(vyes))) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_289185,c_308]) ).
tcf(c_290434,plain,
! [X0_vYN: vYN,X0_vstring: vstring] :
( ( vB(X0_vYN) = vB(vno) )
| ( vT(X0_vstring) != vB(vyes) ) ),
inference(superposition,[status(thm)],[c_289185,c_363]) ).
tcf(c_290435,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vno) )
| ( vtypeOf(vB(vyes)) = vYesNo ) ),
inference(superposition,[status(thm)],[c_289185,c_268]) ).
tcf(c_290437,plain,
! [X0_vYN: vYN,X0_vnat: vnat] :
( ( vB(X0_vYN) = vB(vno) )
| ( vNum(X0_vnat) != vB(vyes) ) ),
inference(superposition,[status(thm)],[c_289185,c_69]) ).
tcf(c_290438,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X0_vYN = X1_vYN )
| ( vB(X1_vYN) = vB(vno) )
| ( vB(X0_vYN) != vB(vyes) ) ),
inference(superposition,[status(thm)],[c_289185,c_70]) ).
tcf(c_290439,plain,
! [X0_vAval: vAval] :
( ( vB(vyes) = X0_vAval )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = vB(vno) ) ),
inference(superposition,[status(thm)],[c_289185,c_261]) ).
tcf(c_290440,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( vB(X1_vYN) = vB(vno) )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_289185,c_289185]) ).
tcf(c_290441,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_289185,c_289503]) ).
tcf(c_290442,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vB(X0_vYN) = vB(vno) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_289185,c_60]) ).
tcf(c_290443,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282526]) ).
tcf(c_290444,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282487]) ).
tcf(c_290445,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vno) )
| ( sK104(vB(X0_vYN)) = vyes ) ),
inference(superposition,[status(thm)],[c_289185,c_289397]) ).
tcf(c_290446,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(X0_vYN) = vB(vno) )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282465]) ).
tcf(c_290447,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( sK104(X0_vAval) = vyes )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282437]) ).
tcf(c_290448,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282405]) ).
tcf(c_290449,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_282383]) ).
tcf(c_290455,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_289185,c_70]) ).
tcf(c_290456,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X0_vYN = vyes )
| ( vB(X1_vYN) = vB(vno) )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_289185,c_70]) ).
tcf(c_290457,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vyes )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(light_normalisation,[status(thm)],[c_290445,c_289397]) ).
tcf(c_290565,plain,
! [X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQConf = vnoQConf )
| ( vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty) = sK162(X0_vOptQConf) )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_283,c_282658]) ).
tcf(c_290566,plain,
! [X0_vOptQConf: vOptQConf,X1_vOptQConf: vOptQConf] :
( ( X1_vOptQConf = vnoQConf )
| ( X0_vOptQConf = vnoQConf )
| ( sK162(X0_vOptQConf) = sK162(X1_vOptQConf) )
| ( X0_vOptQConf != X1_vOptQConf ) ),
inference(superposition,[status(thm)],[c_436,c_282658]) ).
tcf(c_290567,plain,
! [X0_vOptQConf: vOptQConf,X1_vOptQConf: vOptQConf] :
( ( X1_vOptQConf = vnoQConf )
| ( X0_vOptQConf = vnoQConf )
| ( sK162(X1_vOptQConf) = sK167(X0_vOptQConf) )
| ( X0_vOptQConf != X1_vOptQConf ) ),
inference(superposition,[status(thm)],[c_282266,c_282658]) ).
tcf(c_290591,plain,
! [X0_vOptExp: vOptExp,X1_vOptExp: vOptExp] :
( ( X1_vOptExp = vnoExp )
| ( X0_vOptExp = vnoExp )
| ( sK74(X0_vOptExp) = sK74(X1_vOptExp) )
| ( X0_vOptExp != X1_vOptExp ) ),
inference(superposition,[status(thm)],[c_281551,c_282671]) ).
tcf(c_290592,plain,
! [X0_vOptExp: vOptExp,X1_vOptExp: vOptExp] :
( ( X1_vOptExp = vnoExp )
| ( X0_vOptExp = vnoExp )
| ( sK74(X1_vOptExp) = sK123(X0_vOptExp) )
| ( X0_vOptExp != X1_vOptExp ) ),
inference(superposition,[status(thm)],[c_339,c_282671]) ).
tcf(c_290593,plain,
! [X0_vOptExp: vOptExp,X1_vOptExp: vOptExp] :
( ( X1_vOptExp = vnoExp )
| ( X0_vOptExp = vnoExp )
| ( vgetExp(X0_vOptExp) = sK74(X1_vOptExp) )
| ( X0_vOptExp != X1_vOptExp ) ),
inference(superposition,[status(thm)],[c_283085,c_282671]) ).
tcf(c_290619,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vatmbind(sK118(X0_vQMap),vText,vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_368,c_282682]) ).
tcf(c_290620,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK121(X0_vQMap)) = vtypeAM(X0_vAnsMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_282150]) ).
tcf(c_290621,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vtypeOf(X0_vAval) = sK120(X0_vQMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_282131]) ).
tcf(c_290622,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_282112]) ).
tcf(c_290623,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK101(vtypeQM(X0_vQMap)) = sK118(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_288742]) ).
tcf(c_290624,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK102(vtypeQM(X0_vQMap)) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_288725]) ).
tcf(c_290625,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK121(X0_vQMap)) = sK103(vtypeQM(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282682,c_288672]) ).
tcf(c_290626,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = sK118(X0_vQMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282682,c_282326]) ).
tcf(c_290627,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = sK120(X0_vQMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282682,c_282325]) ).
tcf(c_290628,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( vtypeQM(sK121(X0_vQMap)) = sK103(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282682,c_282324]) ).
tcf(c_290629,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( vtypeQM(sK53(X1_vQMap)) = vtypeQM(sK121(X0_vQMap)) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_282152]) ).
tcf(c_290630,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(sK53(X1_vQMap)) = vtypeQM(sK121(X0_vQMap)) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_282151]) ).
tcf(c_290631,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X1_vQMap) = sK120(X0_vQMap) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_282133]) ).
tcf(c_290632,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X1_vQMap) = sK120(X0_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_282132]) ).
tcf(c_290633,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK50(X1_vQMap) = sK118(X0_vQMap) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_282114]) ).
tcf(c_290634,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(X1_vQMap) = sK118(X0_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_282113]) ).
tcf(c_290638,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK118(X0_vQMap))) = vsomeAType(sK120(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282682,c_240]) ).
tcf(c_290639,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(sK121(X0_vQMap)),vqvar(X0_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282682,c_239]) ).
tcf(c_290641,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK121(X0_vQMap)) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_243]) ).
tcf(c_290642,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = X0_vAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_242]) ).
tcf(c_290643,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282682,c_241]) ).
tcf(c_290763,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vyes )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_280854,c_290457]) ).
tcf(c_290770,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vyes )
| ( vB(vyes) = vB(vno) )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(superposition,[status(thm)],[c_290457,c_289185]) ).
tcf(c_290771,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(vno) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290457,c_282526]) ).
tcf(c_290772,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(vno) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290457,c_282487]) ).
tcf(c_290774,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vyes )
| ( sK104(vB(vno)) = X0_vYN ) ),
inference(superposition,[status(thm)],[c_290457,c_289397]) ).
tcf(c_290775,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(vno) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290457,c_282465]) ).
tcf(c_290776,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(vno) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290457,c_282437]) ).
tcf(c_290777,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(vno) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290457,c_282405]) ).
tcf(c_290778,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(vno) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290457,c_282383]) ).
tcf(c_290779,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(vno) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290457,c_282361]) ).
tcf(c_290780,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vYN = vyes )
| ( vtypeAM(vabind(X0_vQID,vB(vno),X0_vAnsMap)) = vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_290457,c_281522]) ).
tcf(c_290782,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap] :
( ( X0_vYN = vyes )
| ( vecheck(X0_vATMap,vconstant(vB(vno))) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_290457,c_308]) ).
tcf(c_290783,plain,
! [X0_vYN: vYN,X0_vstring: vstring] :
( ( X0_vYN = vyes )
| ( vT(X0_vstring) != vB(vno) ) ),
inference(superposition,[status(thm)],[c_290457,c_363]) ).
tcf(c_290784,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vyes )
| ( vtypeOf(vB(vno)) = vYesNo ) ),
inference(superposition,[status(thm)],[c_290457,c_268]) ).
tcf(c_290786,plain,
! [X0_vYN: vYN,X0_vnat: vnat] :
( ( X0_vYN = vyes )
| ( vNum(X0_vnat) != vB(vno) ) ),
inference(superposition,[status(thm)],[c_290457,c_69]) ).
tcf(c_290787,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = X1_vYN )
| ( vB(X0_vYN) != vB(vno) ) ),
inference(superposition,[status(thm)],[c_290457,c_70]) ).
tcf(c_290788,plain,
! [X0_vAval: vAval] :
( ( vB(vno) = X0_vAval )
| ( sK104(X0_vAval) = vyes )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_290457,c_261]) ).
tcf(c_290789,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_290457,c_290457]) ).
tcf(c_290790,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vyes )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_290457,c_59]) ).
tcf(c_290795,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290457,c_282437]) ).
tcf(c_290866,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),vText)),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_368,c_282685]) ).
tcf(c_290867,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vnoQConf ) ),
inference(superposition,[status(thm)],[c_282685,c_282692]) ).
tcf(c_290868,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_282685,c_282694]) ).
tcf(c_290869,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK161(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282685,c_431]) ).
tcf(c_290870,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))) = vqempty )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282685,c_430]) ).
tcf(c_290879,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),vText)),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_368,c_282686]) ).
tcf(c_290880,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vnoQConf ) ),
inference(superposition,[status(thm)],[c_282686,c_282692]) ).
tcf(c_290881,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))
| ( X0_vQMap = vqmempty ) ),
inference(superposition,[status(thm)],[c_282686,c_282694]) ).
tcf(c_290882,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))
| ( X0_vQMap = vqmempty )
| ( sK161(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282686,c_431]) ).
tcf(c_290883,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))
| ( X0_vQMap = vqmempty )
| ( vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))) = vqempty )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282686,c_430]) ).
tcf(c_290892,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),vText)),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_368,c_282687]) ).
tcf(c_290895,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))
| ( X0_vQMap = vqmempty )
| ( sK161(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK121(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282687,c_431]) ).
tcf(c_290896,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))
| ( X0_vQMap = vqmempty )
| ( vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))) = vqempty )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK121(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282687,c_430]) ).
tcf(c_290907,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_93,c_290623]) ).
tcf(c_290909,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK118(X0_vQMap))) = vsomeAType(sK102(vtypeQM(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_290623,c_282321]) ).
tcf(c_290910,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK118(X0_vQMap),sK102(vtypeQM(X0_vQMap)),sK103(vtypeQM(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290623,c_257]) ).
tcf(c_290912,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = sK118(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290623,c_288863]) ).
tcf(c_290921,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290907,c_281]) ).
tcf(c_290927,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_290912,c_282687]) ).
tcf(c_290928,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vatmbind(sK50(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290912,c_282682]) ).
tcf(c_290929,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vqmbind(sK50(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap),sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_290912,c_282]) ).
tcf(c_290941,plain,
! [X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vQC(X0_vAnsMap,vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap),sK53(X0_vQMap)),vqempty) = X0_vQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_282686,c_282693]) ).
tcf(c_290942,plain,
! [X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vQC(X0_vAnsMap,vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap),sK53(X0_vQMap)),vqempty) = X0_vQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_282685,c_282693]) ).
tcf(c_290943,plain,
! [X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vQC(X0_vAnsMap,vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap),sK121(X0_vQMap)),vqempty) = X0_vQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_282687,c_282693]) ).
tcf(c_290944,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty) = vQC(X1_vAnsMap,vqmbind(X1_vQID,X1_vLabel,X1_vAType,X1_vQMap),vqempty) )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vreduce(vqsingle(vdefquestion(X1_vQID,X1_vLabel,X1_vAType)),X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283,c_282693]) ).
tcf(c_290946,plain,
! [X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQConf = vnoQConf )
| ( vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty) = sK167(X0_vOptQConf) )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_282266,c_282693]) ).
tcf(c_290967,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap)))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ( X0_vQMap = vqmempty )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282686,c_282703]) ).
tcf(c_290968,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap)))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282685,c_282703]) ).
tcf(c_290969,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(sK118(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK121(X0_vQMap)))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ( X0_vQMap = vqmempty )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282687,c_282703]) ).
tcf(c_290991,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vText )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_290624]) ).
tcf(c_290994,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_93,c_290624]) ).
tcf(c_290996,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK101(vtypeQM(X0_vQMap)),sK120(X0_vQMap),sK103(vtypeQM(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290624,c_257]) ).
tcf(c_290998,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290624,c_288852]) ).
tcf(c_291008,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_290994,c_281]) ).
tcf(c_291014,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = vText ) ),
inference(superposition,[status(thm)],[c_368,c_290998]) ).
tcf(c_291015,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK52(X0_vQMap))),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_290998,c_282687]) ).
tcf(c_291016,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vatmbind(sK118(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290998,c_282682]) ).
tcf(c_291017,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),sK52(X0_vQMap),sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_290998,c_282]) ).
tcf(c_291039,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap)))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ( X0_vQMap = vqmempty )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282686,c_282707]) ).
tcf(c_291040,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap)))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282685,c_282707]) ).
tcf(c_291041,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(sK118(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK121(X0_vQMap)))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ( X0_vQMap = vqmempty )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_282687,c_282707]) ).
tcf(c_291060,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( visSomeQuestion(vlookupQMap(X0_vQID,X0_vQMap))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282718,c_378]) ).
tcf(c_291076,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( visSomeQuestion(vlookupQMap(X0_vQID,X0_vQMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282719,c_378]) ).
tcf(c_291086,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( vtypeOf(sK90(sK91(X0_vAnsMap))) = sK102(vtypeAM(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_290222,c_289135]) ).
tcf(c_291087,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( vtypeOf(sK48(sK91(X0_vAnsMap))) = sK102(vtypeAM(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_290222,c_289134]) ).
tcf(c_291088,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( vtypeAM(sK91(sK91(X0_vAnsMap))) = sK103(vtypeAM(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_290222,c_289105]) ).
tcf(c_291089,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( vtypeAM(sK49(sK91(X0_vAnsMap))) = sK103(vtypeAM(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_290222,c_289104]) ).
tcf(c_291090,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK91(X0_vAnsMap)) = vatmempty )
| ( sK101(vtypeAM(sK49(X0_vAnsMap))) = sK47(sK91(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_290222,c_288998]) ).
tcf(c_291091,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( sK101(vtypeAM(sK49(X0_vAnsMap))) = sK89(sK91(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_290222,c_289000]) ).
tcf(c_291092,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( sK101(vtypeAM(sK49(X0_vAnsMap))) = sK47(sK91(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_290222,c_288999]) ).
tcf(c_291093,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( vtypeAM(sK49(X0_vAnsMap)) != vatmempty ) ),
inference(superposition,[status(thm)],[c_290222,c_282350]) ).
tcf(c_291094,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(vabind(X0_vQID,X0_vAval,sK91(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_290222,c_87]) ).
tcf(c_291131,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( visSomeQuestion(vlookupQMap(X0_vQID,X0_vQMap))
| ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,sK121(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282720,c_378]) ).
tcf(c_291140,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(sK50(X0_vQMap),sK51(X0_vQMap),vText) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_368,c_282737]) ).
tcf(c_291144,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282737,c_376]) ).
tcf(c_291145,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK50(X0_vQMap),X0_vQMap))
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_282737,c_370]) ).
tcf(c_291146,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282737,c_373]) ).
tcf(c_291147,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK51(X0_vQMap) = X0_vLabel )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282737,c_372]) ).
tcf(c_291148,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282737,c_371]) ).
tcf(c_291191,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vsomeQuestion(sK50(X0_vQMap),sK51(X0_vQMap),vText) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_368,c_282738]) ).
tcf(c_291195,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282738,c_376]) ).
tcf(c_291196,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK50(X0_vQMap),X0_vQMap))
| ( X0_vQMap = vqmempty ) ),
inference(superposition,[status(thm)],[c_282738,c_370]) ).
tcf(c_291197,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282738,c_373]) ).
tcf(c_291198,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK51(X0_vQMap) = X0_vLabel )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282738,c_372]) ).
tcf(c_291199,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282738,c_371]) ).
tcf(c_291222,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( visSomeQuestion(vlookupQMap(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap))
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_284,c_291196]) ).
tcf(c_291223,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap))
| ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282719,c_291196]) ).
tcf(c_291224,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap))
| ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282718,c_291196]) ).
tcf(c_291225,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap))
| ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282720,c_291196]) ).
tcf(c_291226,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291196,c_369]) ).
tcf(c_291241,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( visSomeQuestion(vlookupQMap(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap))
| ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_291222,c_281]) ).
tcf(c_291269,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap))
| ( X0_vQMap = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty ) ),
inference(superposition,[status(thm)],[c_282719,c_291145]) ).
tcf(c_291270,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty ) ),
inference(superposition,[status(thm)],[c_282718,c_291145]) ).
tcf(c_291271,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap))
| ( X0_vQMap = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty ) ),
inference(superposition,[status(thm)],[c_282720,c_291145]) ).
tcf(c_291272,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291145,c_369]) ).
tcf(c_291291,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQuestion(sK50(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290912,c_282739]) ).
tcf(c_291292,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vsomeQuestion(sK118(X0_vQMap),sK119(X0_vQMap),vText) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_368,c_282739]) ).
tcf(c_291293,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQuestion(sK118(X0_vQMap),sK119(X0_vQMap),sK52(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290998,c_282739]) ).
tcf(c_291297,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282739,c_376]) ).
tcf(c_291298,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK118(X0_vQMap),X0_vQMap))
| ( X0_vQMap = vqmempty ) ),
inference(superposition,[status(thm)],[c_282739,c_370]) ).
tcf(c_291299,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = X0_vAType )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282739,c_373]) ).
tcf(c_291300,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK119(X0_vQMap) = X0_vLabel )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282739,c_372]) ).
tcf(c_291301,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282739,c_371]) ).
tcf(c_291337,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282754]) ).
tcf(c_291338,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282754]) ).
tcf(c_291339,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(X1_vQMap) = sK118(X0_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282754]) ).
tcf(c_291340,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty ) ),
inference(equality_resolution,[status(thm)],[c_282754]) ).
tcf(c_291341,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID ) ),
inference(light_normalisation,[status(thm)],[c_291340,c_93]) ).
tcf(c_291342,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID,
inference(forward_subsumption_resolution,[status(thm)],[c_291341,c_256]) ).
tcf(c_291364,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282755]) ).
tcf(c_291365,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282755]) ).
tcf(c_291366,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK50(X1_vQMap) = sK118(X0_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282755]) ).
tcf(c_291387,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( visSomeQuestion(vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap))
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_284,c_291298]) ).
tcf(c_291388,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap))
| ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282719,c_291298]) ).
tcf(c_291389,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap))
| ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282718,c_291298]) ).
tcf(c_291390,plain,
! [X0_vQMap: vQMap] :
( visSomeQuestion(vlookupQMap(sK118(sK121(X0_vQMap)),X0_vQMap))
| ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK118(sK121(X0_vQMap)) = sK118(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282720,c_291298]) ).
tcf(c_291392,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQuestion(sK130(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291298,c_369]) ).
tcf(c_291407,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( visSomeQuestion(vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap))
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID ) ),
inference(light_normalisation,[status(thm)],[c_291387,c_290921]) ).
tcf(c_291411,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( visSomeQuestion(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty ) ),
inference(superposition,[status(thm)],[c_291342,c_291145]) ).
tcf(c_291412,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( visSomeQuestion(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty ) ),
inference(superposition,[status(thm)],[c_291342,c_291196]) ).
tcf(c_291413,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_282738]) ).
tcf(c_291414,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vsomeQuestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_282737]) ).
tcf(c_291415,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291342,c_282686]) ).
tcf(c_291416,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291342,c_282685]) ).
tcf(c_291417,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vecheck(vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqvar(X0_vQID)) = vsomeAType(sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_291342,c_282097]) ).
tcf(c_291418,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vecheck(vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqvar(X0_vQID)) = vsomeAType(sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_291342,c_282096]) ).
tcf(c_291419,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_92]) ).
tcf(c_291421,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(X0_vQID,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_90]) ).
tcf(c_291422,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291342,c_89]) ).
tcf(c_291423,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( visSomeQuestion(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty ) ),
inference(light_normalisation,[status(thm)],[c_291412,c_285]) ).
tcf(c_291424,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( visSomeQuestion(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty ) ),
inference(light_normalisation,[status(thm)],[c_291411,c_93,c_285]) ).
tcf(c_291425,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vqvar(X0_vQID)) = vsomeAType(sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) ) ),
inference(light_normalisation,[status(thm)],[c_291417,c_93]) ).
tcf(c_291426,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vqvar(X0_vQID)) = vsomeAType(sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_291425,c_281]) ).
tcf(c_291427,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vqvar(X0_vQID)) = vsomeAType(sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) ) ),
inference(light_normalisation,[status(thm)],[c_291418,c_93]) ).
tcf(c_291429,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(X0_vQID,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_291421,c_93,c_289840]) ).
tcf(c_291430,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vatmbind(X0_vQID,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),
inference(forward_subsumption_resolution,[status(thm)],[c_291429,c_281]) ).
tcf(c_291431,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(light_normalisation,[status(thm)],[c_291413,c_285]) ).
tcf(c_291432,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQuestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType),
inference(forward_subsumption_resolution,[status(thm)],[c_291431,c_281]) ).
tcf(c_291433,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_291419,c_93,c_289840]) ).
tcf(c_291435,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vsomeQuestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(light_normalisation,[status(thm)],[c_291414,c_93,c_285]) ).
tcf(c_291437,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vqmbind(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291422,c_281]) ).
tcf(c_291438,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291415,c_283]) ).
tcf(c_291439,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vreduce(vqsingle(vdefquestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291438,c_281]) ).
tcf(c_291440,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291416,c_93,c_283]) ).
tcf(c_291474,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK50(X0_vQMap) = sK118(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282756]) ).
tcf(c_291475,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = sK118(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282756]) ).
tcf(c_291476,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = sK118(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282756]) ).
tcf(c_291477,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID ) ),
inference(equality_resolution,[status(thm)],[c_282756]) ).
tcf(c_291478,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID ) ),
inference(light_normalisation,[status(thm)],[c_291477,c_290921]) ).
tcf(c_291503,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( sK51(X0_vQMap) = sK51(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282774]) ).
tcf(c_291504,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK51(X0_vQMap) = sK51(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282774]) ).
tcf(c_291505,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK51(X1_vQMap) = sK119(X0_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282774]) ).
tcf(c_291506,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vLabel )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty ) ),
inference(equality_resolution,[status(thm)],[c_282774]) ).
tcf(c_291507,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vLabel ) ),
inference(light_normalisation,[status(thm)],[c_291506,c_93]) ).
tcf(c_291508,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vLabel,
inference(forward_subsumption_resolution,[status(thm)],[c_291507,c_256]) ).
tcf(c_291528,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK51(X0_vQMap) = sK51(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282775]) ).
tcf(c_291529,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK51(X0_vQMap) = sK51(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282775]) ).
tcf(c_291530,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK51(X1_vQMap) = sK119(X0_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282775]) ).
tcf(c_291550,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK51(X0_vQMap) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282,c_291508]) ).
tcf(c_291551,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vlookupQMap(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291508,c_282738]) ).
tcf(c_291552,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vsomeQuestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vlookupQMap(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291508,c_282737]) ).
tcf(c_291553,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291508,c_282686]) ).
tcf(c_291554,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291508,c_282685]) ).
tcf(c_291555,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291508,c_91]) ).
tcf(c_291556,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291508,c_89]) ).
tcf(c_291559,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(X0_vQID,X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291556,c_291342]) ).
tcf(c_291560,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vqmbind(X0_vQID,X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291559,c_281]) ).
tcf(c_291561,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vqmbind(X0_vQID,X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291555,c_93,c_291342]) ).
tcf(c_291563,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(X0_vQID,X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(light_normalisation,[status(thm)],[c_291551,c_285,c_291342]) ).
tcf(c_291564,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQuestion(X0_vQID,X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType),
inference(forward_subsumption_resolution,[status(thm)],[c_291563,c_281]) ).
tcf(c_291565,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vsomeQuestion(X0_vQID,X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(light_normalisation,[status(thm)],[c_291552,c_93,c_285,c_291342]) ).
tcf(c_291567,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291553,c_283,c_291342]) ).
tcf(c_291568,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291567,c_281]) ).
tcf(c_291569,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291554,c_93,c_283,c_291342]) ).
tcf(c_291590,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQuestion(sK118(X0_vQMap),sK51(X0_vQMap),sK120(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291550,c_282739]) ).
tcf(c_291591,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK51(X0_vQMap),sK120(X0_vQMap))),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_291550,c_282687]) ).
tcf(c_291592,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vqmbind(sK118(X0_vQMap),sK51(X0_vQMap),sK120(X0_vQMap),sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_291550,c_282]) ).
tcf(c_291605,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK51(X0_vQMap) = sK119(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282776]) ).
tcf(c_291606,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK51(X0_vQMap) = sK119(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282776]) ).
tcf(c_291607,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK119(X0_vQMap) = sK119(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282776]) ).
tcf(c_291608,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vLabel ) ),
inference(equality_resolution,[status(thm)],[c_282776]) ).
tcf(c_291609,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vLabel,
inference(forward_subsumption_resolution,[status(thm)],[c_291608,c_281]) ).
tcf(c_291629,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( sK52(X0_vQMap) = sK52(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282805]) ).
tcf(c_291630,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = sK52(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282805]) ).
tcf(c_291631,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X1_vQMap) = sK120(X0_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282805]) ).
tcf(c_291632,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vAType )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty ) ),
inference(equality_resolution,[status(thm)],[c_282805]) ).
tcf(c_291633,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vAType ) ),
inference(light_normalisation,[status(thm)],[c_291632,c_93]) ).
tcf(c_291634,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vAType,
inference(forward_subsumption_resolution,[status(thm)],[c_291633,c_256]) ).
tcf(c_291654,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X0_vQMap) = sK52(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282806]) ).
tcf(c_291655,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = sK52(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282806]) ).
tcf(c_291656,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X1_vQMap) = sK120(X0_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282806]) ).
tcf(c_291671,plain,
! [X0_vQMap: vQMap] :
( ( sK51(X0_vQMap) = sK119(X0_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_91,c_291609]) ).
tcf(c_291674,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291609,c_282739]) ).
tcf(c_291675,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291609,c_282687]) ).
tcf(c_291676,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291609,c_282]) ).
tcf(c_291679,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291676,c_290921,c_291008]) ).
tcf(c_291680,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vqmbind(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291679,c_281]) ).
tcf(c_291681,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_291674,c_290921,c_291008]) ).
tcf(c_291682,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQuestion(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),
inference(forward_subsumption_resolution,[status(thm)],[c_291681,c_281]) ).
tcf(c_291683,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))))),X0_vAnsMap,sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291675,c_283,c_290921,c_291008]) ).
tcf(c_291684,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vreduce(vqsingle(vdefquestion(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))))),X0_vAnsMap,sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291683,c_281]) ).
tcf(c_291700,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_291634]) ).
tcf(c_291702,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType) = vlookupQMap(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291634,c_282738]) ).
tcf(c_291703,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vsomeQuestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType) = vlookupQMap(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291634,c_282737]) ).
tcf(c_291704,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType)),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291634,c_282686]) ).
tcf(c_291705,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType)),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291634,c_282685]) ).
tcf(c_291706,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vatmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType,vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291634,c_92]) ).
tcf(c_291707,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291634,c_91]) ).
tcf(c_291708,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType,vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291634,c_90]) ).
tcf(c_291709,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291634,c_89]) ).
tcf(c_291711,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(X0_vQID,X0_vAType,sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_291708,c_93,c_289840,c_291342]) ).
tcf(c_291712,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] : vatmbind(X0_vQID,X0_vAType,sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),
inference(forward_subsumption_resolution,[status(thm)],[c_291711,c_281]) ).
tcf(c_291713,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_291706,c_93,c_289840,c_291342]) ).
tcf(c_291715,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291709,c_291342,c_291508]) ).
tcf(c_291716,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vqmbind(X0_vQID,X0_vLabel,X0_vAType,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291715,c_281]) ).
tcf(c_291717,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291707,c_93,c_291342,c_291508]) ).
tcf(c_291721,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291704,c_283,c_291342,c_291508]) ).
tcf(c_291722,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291721,c_281]) ).
tcf(c_291723,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291705,c_93,c_283,c_291342,c_291508]) ).
tcf(c_291734,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X0_vQMap) = sK120(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282807]) ).
tcf(c_291735,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = sK120(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282807]) ).
tcf(c_291736,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = sK120(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282807]) ).
tcf(c_291737,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vAType ) ),
inference(equality_resolution,[status(thm)],[c_282807]) ).
tcf(c_291738,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vAType ) ),
inference(light_normalisation,[status(thm)],[c_291737,c_291008]) ).
tcf(c_291757,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( sK53(X0_vQMap) = sK53(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282825]) ).
tcf(c_291758,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK53(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282825]) ).
tcf(c_291759,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X1_vQMap) = sK121(X0_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282825]) ).
tcf(c_291760,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQMap )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty ) ),
inference(equality_resolution,[status(thm)],[c_282825]) ).
tcf(c_291761,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQMap ) ),
inference(light_normalisation,[status(thm)],[c_291760,c_93]) ).
tcf(c_291762,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQMap,
inference(forward_subsumption_resolution,[status(thm)],[c_291761,c_256]) ).
tcf(c_291782,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK53(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282826]) ).
tcf(c_291783,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK53(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282826]) ).
tcf(c_291784,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK53(X1_vQMap) = sK121(X0_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282826]) ).
tcf(c_291798,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK121(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282,c_291762]) ).
tcf(c_291799,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vQID )
| ( vlookupQMap(X1_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vlookupQMap(X1_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291762,c_282719]) ).
tcf(c_291800,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vQID )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vlookupQMap(X1_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vlookupQMap(X1_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291762,c_282718]) ).
tcf(c_291801,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291762,c_282686]) ).
tcf(c_291802,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291762,c_282685]) ).
tcf(c_291803,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vQID )
| ( vecheck(vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqvar(X1_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_291762,c_282085]) ).
tcf(c_291804,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vQID )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vecheck(vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqvar(X1_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_291762,c_282084]) ).
tcf(c_291805,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vatmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vtypeQM(X0_vQMap)) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291762,c_92]) ).
tcf(c_291806,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291762,c_91]) ).
tcf(c_291807,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vtypeQM(X0_vQMap)) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291762,c_90]) ).
tcf(c_291808,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291762,c_89]) ).
tcf(c_291811,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vqmbind(X1_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vlookupQMap(X0_vQID,vqmbind(X1_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291799,c_291342]) ).
tcf(c_291813,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X1_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vlookupQMap(X0_vQID,vqmbind(X1_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291800,c_93,c_291342]) ).
tcf(c_291817,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vqvar(X1_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) ) ),
inference(light_normalisation,[status(thm)],[c_291803,c_93,c_291342]) ).
tcf(c_291818,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vqvar(X1_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_291817,c_281]) ).
tcf(c_291821,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vqvar(X1_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) ) ),
inference(light_normalisation,[status(thm)],[c_291804,c_93,c_291342]) ).
tcf(c_291853,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,sK53(X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291798,c_282720]) ).
tcf(c_291854,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_291798,c_282687]) ).
tcf(c_291855,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vatmbind(sK118(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291798,c_282682]) ).
tcf(c_291856,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap),sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_291798,c_282]) ).
tcf(c_291872,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK121(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_91,c_282827]) ).
tcf(c_291873,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK121(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_89,c_282827]) ).
tcf(c_291874,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = sK121(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_282,c_282827]) ).
tcf(c_291875,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQMap ) ),
inference(equality_resolution,[status(thm)],[c_282827]) ).
tcf(c_291876,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQMap,
inference(forward_subsumption_resolution,[status(thm)],[c_291875,c_281]) ).
tcf(c_291902,plain,
! [X0_vOptAType: vOptAType,X1_vOptAType: vOptAType] :
( ( X1_vOptAType = vnoAType )
| ( X0_vOptAType = vnoAType )
| ( sK122(X0_vOptAType) = sK122(X1_vOptAType) )
| ( X0_vOptAType != X1_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_282844]) ).
tcf(c_291903,plain,
! [X0_vOptAType: vOptAType,X1_vOptAType: vOptAType] :
( ( X1_vOptAType = vnoAType )
| ( X0_vOptAType = vnoAType )
| ( sK122(X1_vOptAType) = sK146(X0_vOptAType) )
| ( X0_vOptAType != X1_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_282844]) ).
tcf(c_291921,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = sK121(X0_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_91,c_291876]) ).
tcf(c_291924,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vQID )
| ( vlookupQMap(X1_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vlookupQMap(X1_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291876,c_282720]) ).
tcf(c_291925,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_291876,c_282687]) ).
tcf(c_291926,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vtypeQM(X0_vQMap)) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291876,c_282682]) ).
tcf(c_291927,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291876,c_282]) ).
tcf(c_291930,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( vqmbind(X1_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X1_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID )
| ( vlookupQMap(X0_vQID,vqmbind(X1_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291924,c_290921]) ).
tcf(c_291931,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( sK101(vatmbind(X1_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID )
| ( vlookupQMap(X0_vQID,vqmbind(X1_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_291930,c_281]) ).
tcf(c_291934,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vtypeQM(X0_vQMap)) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_291926,c_93,c_290921,c_291008]) ).
tcf(c_291935,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] : vatmbind(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vtypeQM(X0_vQMap)) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),
inference(forward_subsumption_resolution,[status(thm)],[c_291934,c_281]) ).
tcf(c_291936,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291927,c_290921,c_291008,c_291609]) ).
tcf(c_291937,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vqmbind(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291936,c_281]) ).
tcf(c_291938,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))))),X0_vAnsMap,X0_vQMap) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_291925,c_283,c_290921,c_291008,c_291609]) ).
tcf(c_291939,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vreduce(vqsingle(vdefquestion(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))))),X0_vAnsMap,X0_vQMap) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_291938,c_281]) ).
tcf(c_291961,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(sK118(X0_vQMap),sK51(X0_vQMap),sK120(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291671,c_282739]) ).
tcf(c_291962,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK51(X0_vQMap),sK120(X0_vQMap))),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_291671,c_282687]) ).
tcf(c_291963,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK118(X0_vQMap),sK51(X0_vQMap),sK120(X0_vQMap),sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_291671,c_282]) ).
tcf(c_291980,plain,
! [X0_vOptAType: vOptAType,X1_vOptAType: vOptAType] :
( ( X1_vOptAType = vnoAType )
| ( X0_vOptAType = vnoAType )
| ( sK122(X0_vOptAType) = sK146(X1_vOptAType) )
| ( X0_vOptAType != X1_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_282867]) ).
tcf(c_291981,plain,
! [X0_vOptAType: vOptAType,X1_vOptAType: vOptAType] :
( ( X1_vOptAType = vnoAType )
| ( X0_vOptAType = vnoAType )
| ( sK146(X0_vOptAType) = sK146(X1_vOptAType) )
| ( X0_vOptAType != X1_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_282867]) ).
tcf(c_291995,plain,
! [X0_vMapConf: vMapConf,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vMapConf: vMapConf,X1_vQuestionnaire: vQuestionnaire] :
( ( vecheck(sK45(X0_vMapConf),X0_vExp) = vsomeAType(vYesNo) )
| ~ vptcheck(X0_vMapConf,vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_282877]) ).
tcf(c_292003,plain,
! [X0_vMapConf: vMapConf,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( vecheck(sK45(X0_vMapConf),X0_vExp) = vsomeAType(X0_vAType) )
| ~ vptcheck(X0_vMapConf,vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_282887]) ).
tcf(c_292012,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(X0_vQID,sK53(X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291921,c_282720]) ).
tcf(c_292013,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_291921,c_282687]) ).
tcf(c_292014,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK118(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291921,c_282682]) ).
tcf(c_292015,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap),sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_291921,c_282]) ).
tcf(c_292034,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(X0_vAnsMap)) = vYesNo )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK48(X0_vAnsMap)) = vText ) ),
inference(superposition,[status(thm)],[c_368,c_290385]) ).
tcf(c_292036,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vtypeOf(sK48(X0_vAnsMap)),vtypeAM(X1_vAnsMap)) = vtypeAM(vabind(X0_vQID,sK90(X0_vAnsMap),X1_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_290385,c_87]) ).
tcf(c_292043,plain,
vsomeAType(vNumber) != vsomeAType(vYesNo),
inference(global_subsumption_just,[status(thm)],[c_282900,c_296,c_38279]) ).
tcf(c_292055,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap,X2_vQID: vQID,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(X2_vQID,X1_vAType,X0_vATMap)),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(X2_vQID,X1_vAType,X0_vATMap)),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(X2_vQID,X1_vAType,X0_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_239,c_282901]) ).
tcf(c_292056,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),X1_vATMap),vqcond(vqvar(X1_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vQID = X1_vQID )
| ~ vptcheck(vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_240,c_282901]) ).
tcf(c_292057,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vatmempty),X0_vATMap),vqcond(vqvar(X1_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( X0_vQID = X1_vQID )
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vatmempty),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vatmempty),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_255,c_282901]) ).
tcf(c_292058,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap),vqcond(vqvar(X1_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( X0_vQID = X1_vQID )
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282095,c_282901]) ).
tcf(c_292059,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqcond(vqvar(sK101(X0_vATMap)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(sK102(X0_vATMap)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282321,c_282901]) ).
tcf(c_292060,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap),vqcond(vqvar(sK50(X0_vQMap)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282097,c_282901]) ).
tcf(c_292061,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap),vqcond(vqvar(sK50(X0_vQMap)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282096,c_282901]) ).
tcf(c_292062,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap,X2_vQID: vQID] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeAM(vabind(X2_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeAM(vabind(X2_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeAM(vabind(X2_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282083,c_282901]) ).
tcf(c_292063,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282085,c_282901]) ).
tcf(c_292064,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ( X0_vQID = X1_vQID )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282084,c_282901]) ).
tcf(c_292065,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,sK103(X0_vATMap)),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,sK103(X0_vATMap)),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,sK103(X0_vATMap)),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_282322,c_282901]) ).
tcf(c_292194,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),X0_vATMap),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vOptAType = vnoAType )
| ~ vptcheck(vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_282902]) ).
tcf(c_292195,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),X0_vATMap),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vOptAType = vnoAType )
| ~ vptcheck(vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_282902]) ).
tcf(c_292196,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,vYesNo,X0_vATMap),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,vYesNo,X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,vYesNo,X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap)) ),
inference(equality_resolution,[status(thm)],[c_282902]) ).
tcf(c_292229,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vtypeQM(sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_93,c_290625]) ).
tcf(c_292231,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK101(vtypeQM(X0_vQMap)) = X0_vQID )
| ( vecheck(vtypeQM(sK121(X0_vQMap)),vqvar(X0_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_290625,c_282322]) ).
tcf(c_292232,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK101(vtypeQM(X0_vQMap)),sK102(vtypeQM(X0_vQMap)),vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290625,c_257]) ).
tcf(c_292233,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeQM(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_290625,c_288753]) ).
tcf(c_292239,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_292229,c_291876]) ).
tcf(c_292250,plain,
vsomeAType(vYesNo) != vsomeAType(vText),
inference(global_subsumption_just,[status(thm)],[c_282904,c_367,c_38281]) ).
tcf(c_292252,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_368,c_292250]) ).
tcf(c_292276,plain,
! [X0_vYN: vYN,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf)
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(sK45(X0_vMapConf),sK46(X0_vMapConf)))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(sK45(X0_vMapConf),sK46(X0_vMapConf))) ),
inference(superposition,[status(thm)],[c_77,c_282905]) ).
tcf(c_292294,plain,
! [X0_vYN: vYN,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vMapConf)
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,X0_vMapConf)
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,X0_vMapConf) ),
inference(light_normalisation,[status(thm)],[c_292276,c_77]) ).
tcf(c_292309,plain,
! [X0_vOptQConf: vOptQConf,X1_vOptQConf: vOptQConf] :
( ( X1_vOptQConf = vnoQConf )
| ( X0_vOptQConf = vnoQConf )
| ( sK162(X0_vOptQConf) = sK167(X1_vOptQConf) )
| ( X0_vOptQConf != X1_vOptQConf ) ),
inference(superposition,[status(thm)],[c_436,c_282936]) ).
tcf(c_292310,plain,
! [X0_vOptQConf: vOptQConf,X1_vOptQConf: vOptQConf] :
( ( X1_vOptQConf = vnoQConf )
| ( X0_vOptQConf = vnoQConf )
| ( sK167(X0_vOptQConf) = sK167(X1_vOptQConf) )
| ( X0_vOptQConf != X1_vOptQConf ) ),
inference(superposition,[status(thm)],[c_282266,c_282936]) ).
tcf(c_292326,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282719,c_291195]) ).
tcf(c_292327,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282718,c_291195]) ).
tcf(c_292328,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282720,c_291195]) ).
tcf(c_292329,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_291342,c_291195]) ).
tcf(c_292330,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vnoQuestion ) ),
inference(light_normalisation,[status(thm)],[c_292329,c_285]) ).
tcf(c_292348,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID )
| ( vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_284,c_291297]) ).
tcf(c_292349,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282719,c_291297]) ).
tcf(c_292350,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282718,c_291297]) ).
tcf(c_292351,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK118(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vlookupQMap(sK118(sK121(X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282720,c_291297]) ).
tcf(c_292365,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID )
| ( vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap) != vnoQuestion ) ),
inference(light_normalisation,[status(thm)],[c_292348,c_290921]) ).
tcf(c_292390,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X1_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_282952]) ).
tcf(c_292392,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmempty),X0_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_255,c_282952]) ).
tcf(c_292393,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_282952]) ).
tcf(c_292394,plain,
! [X0_vATMap: vATMap,X0_vnat: vnat,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK101(X0_vATMap),X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(sK101(X0_vATMap),X0_vAType,X0_vATMap),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_282952]) ).
tcf(c_292395,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vnat: vnat,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_282952]) ).
tcf(c_292396,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vnat: vnat,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_282952]) ).
tcf(c_292397,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_282952]) ).
tcf(c_292398,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_282952]) ).
tcf(c_292399,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_282952]) ).
tcf(c_292400,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(X0_vQID,X0_vAType,sK103(X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_282952]) ).
tcf(c_292463,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID] :
( vptcheck(vMC(vatmbind(X2_vQID,X1_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(X2_vQID,X1_vAType,X0_vATMap)),X1_vATMap))
| ( X1_vQID = X2_vQID )
| ( X0_vQID = X2_vQID )
| ( vecheck(X0_vATMap,vqvar(X1_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_282953]) ).
tcf(c_292464,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X1_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X1_vAType) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_240,c_282953]) ).
tcf(c_292465,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vAType,vqvar(X1_vQID))),vMC(vatmbind(sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vAType,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( vecheck(X0_vATMap,vqvar(X1_vQID)) != vsomeAType(X1_vAType) )
| ( vsomeAType(sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_282953]) ).
tcf(c_292466,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID,X2_vQID: vQID] :
( vptcheck(vMC(vatmbind(X0_vQID,vtypeOf(X0_vAval),vtypeAM(X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X2_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(X0_vQID,vtypeOf(X0_vAval),vtypeAM(X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X2_vQID )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X2_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X1_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_87,c_282953]) ).
tcf(c_292467,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) != vnoAType )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_92,c_282953]) ).
tcf(c_292468,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) != vnoAType )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_90,c_282953]) ).
tcf(c_292469,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(sK101(X0_vATMap),sK102(X0_vATMap),sK103(X0_vATMap)),X1_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(sK101(X0_vATMap),sK102(X0_vATMap),sK103(X0_vATMap))),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X1_vQID)) != vnoAType )
| ( vecheck(sK103(X0_vATMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_257,c_282953]) ).
tcf(c_292470,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(sK118(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK121(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(sK118(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK121(X0_vQMap)))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) != vnoAType )
| ( vecheck(vtypeQM(sK121(X0_vQMap)),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282682,c_282953]) ).
tcf(c_292497,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X1_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( vatmbind(X1_vQID,X1_vAType,X0_vATMap) = vatmempty )
| ( vsomeAType(X1_vAType) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(light_normalisation,[status(thm)],[c_292465,c_288725,c_288742]) ).
tcf(c_292522,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X1_vAType,vqvar(X1_vQID))),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_282954]) ).
tcf(c_292524,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vAType,vqvar(X0_vQID))),vMC(vatmbind(sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vAType,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vsomeAType(sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_282954]) ).
tcf(c_292525,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(X0_vQID,vtypeOf(X0_vAval),vtypeAM(X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(X0_vQID,vtypeOf(X0_vAval),vtypeAM(X0_vAnsMap))),X0_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X1_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_87,c_282954]) ).
tcf(c_292526,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK50(X0_vQMap)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_92,c_282954]) ).
tcf(c_292527,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK50(X0_vQMap)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(sK50(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_90,c_282954]) ).
tcf(c_292528,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(sK101(X0_vATMap),sK102(X0_vATMap),sK103(X0_vATMap)),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK101(X0_vATMap)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(sK101(X0_vATMap),sK102(X0_vATMap),sK103(X0_vATMap))),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( vsomeAType(sK102(X0_vATMap)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_257,c_282954]) ).
tcf(c_292529,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vatmbind(sK118(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK121(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK118(X0_vQMap)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(sK118(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK121(X0_vQMap)))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(sK120(X0_vQMap)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282682,c_282954]) ).
tcf(c_292551,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X1_vAType,vqvar(X0_vQID))),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vnoAType )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(light_normalisation,[status(thm)],[c_292524,c_288725,c_288742]) ).
tcf(c_292595,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291876,c_292233]) ).
tcf(c_292596,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( vtypeQM(sK121(sK121(X0_vQMap))) = sK103(vtypeQM(sK53(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_292233,c_290625]) ).
tcf(c_292597,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK102(vtypeQM(sK53(X0_vQMap))) = sK120(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_290624]) ).
tcf(c_292598,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK101(vtypeQM(sK53(X0_vQMap))) = sK118(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_290623]) ).
tcf(c_292599,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( sK101(vtypeQM(sK53(X0_vQMap))) = sK50(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_288862]) ).
tcf(c_292600,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( sK102(vtypeQM(sK53(X0_vQMap))) = sK52(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_288851]) ).
tcf(c_292601,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( vtypeQM(sK53(sK121(X0_vQMap))) = sK103(vtypeQM(sK53(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_292233,c_288753]) ).
tcf(c_292602,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK101(vtypeQM(sK53(X0_vQMap))) = sK50(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_288863]) ).
tcf(c_292603,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK102(vtypeQM(sK53(X0_vQMap))) = sK52(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_288852]) ).
tcf(c_292604,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( vtypeQM(sK53(sK121(X0_vQMap))) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_282152]) ).
tcf(c_292605,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( vtypeQM(sK53(sK121(X0_vQMap))) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_282151]) ).
tcf(c_292606,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK52(sK121(X0_vQMap)) = X0_vAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_282133]) ).
tcf(c_292607,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK52(sK121(X0_vQMap)) = X0_vAType )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_282132]) ).
tcf(c_292608,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_282114]) ).
tcf(c_292609,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK121(X0_vQMap)) = X0_vQID )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_292233,c_282113]) ).
tcf(c_292610,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(sK50(sK121(X0_vQMap)))) = vsomeAType(sK52(sK121(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_292233,c_282097]) ).
tcf(c_292611,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(sK50(sK121(X0_vQMap)))) = vsomeAType(sK52(sK121(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_292233,c_282096]) ).
tcf(c_292612,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( vtypeQM(sK53(X0_vQMap)) != vatmempty ) ),
inference(superposition,[status(thm)],[c_292233,c_281717]) ).
tcf(c_292689,plain,
! [X0_vAval: vAval,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( sK125(vsomeAval(sK124(X0_vOptAval))) = X0_vAval )
| ( vsomeAval(X0_vAval) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_351,c_283128]) ).
tcf(c_292690,plain,
! [X0_vAval: vAval,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( sK125(vsomeAval(sK125(X0_vOptAval))) = X0_vAval )
| ( vsomeAval(X0_vAval) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_281967,c_283128]) ).
tcf(c_292691,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK125(vsomeAval(sK125(vsomeAval(X0_vAval)))) = X1_vAval )
| ( vsomeAval(X0_vAval) != vsomeAval(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_281968,c_283128]) ).
tcf(c_292692,plain,
! [X0_vAval: vAval,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( sK125(vsomeAval(X0_vAval)) = sK124(X0_vOptAval) )
| ( vsomeAval(X0_vAval) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_351,c_283128]) ).
tcf(c_292693,plain,
! [X0_vAval: vAval,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( sK125(vsomeAval(X0_vAval)) = sK125(X0_vOptAval) )
| ( vsomeAval(X0_vAval) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_281967,c_283128]) ).
tcf(c_292694,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK125(vsomeAval(X0_vAval)) = sK125(vsomeAval(X1_vAval)) )
| ( vsomeAval(X0_vAval) != vsomeAval(X1_vAval) ) ),
inference(superposition,[status(thm)],[c_281968,c_283128]) ).
tcf(c_292695,plain,
! [X0_vAval: vAval] : sK125(vsomeAval(X0_vAval)) = X0_vAval,
inference(equality_resolution,[status(thm)],[c_283128]) ).
tcf(c_292732,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X1_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_282956]) ).
tcf(c_292734,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmempty),X0_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_255,c_282956]) ).
tcf(c_292735,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_282956]) ).
tcf(c_292736,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK101(X0_vATMap),X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(sK101(X0_vATMap),X0_vAType,X0_vATMap),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_282956]) ).
tcf(c_292737,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vQMap: vQMap,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_282956]) ).
tcf(c_292738,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vQMap: vQMap,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_282956]) ).
tcf(c_292739,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_282956]) ).
tcf(c_292740,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_282956]) ).
tcf(c_292741,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_282956]) ).
tcf(c_292742,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(X0_vQID,X0_vAType,sK103(X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_282956]) ).
tcf(c_292775,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X1_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_282957]) ).
tcf(c_292777,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmempty),X0_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_255,c_282957]) ).
tcf(c_292778,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_282957]) ).
tcf(c_292779,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK101(X0_vATMap),X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(sK101(X0_vATMap),X0_vAType,X0_vATMap),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_282957]) ).
tcf(c_292780,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_282957]) ).
tcf(c_292781,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_282957]) ).
tcf(c_292782,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_282957]) ).
tcf(c_292783,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_282957]) ).
tcf(c_292784,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_282957]) ).
tcf(c_292785,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(X0_vQID,X0_vAType,sK103(X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_282957]) ).
tcf(c_292819,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X1_vQID,sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(X1_vQID,sK122(X0_vOptAType),vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,vqvar(X1_vQID)) != vnoAType )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_239,c_282958]) ).
tcf(c_292821,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqsingle(vvalue(X0_vQID,sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vatmempty),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(vatmempty,X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_255,c_282958]) ).
tcf(c_292822,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282095,c_282958]) ).
tcf(c_292823,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK101(X0_vATMap),sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(sK101(X0_vATMap),sK122(X0_vOptAType),X0_vATMap),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType )
| ( vecheck(X0_vATMap,X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282321,c_282958]) ).
tcf(c_292824,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQMap: vQMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(sK50(X0_vQMap),sK122(X0_vOptAType),vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType )
| ( vecheck(vtypeQM(X0_vQMap),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282097,c_282958]) ).
tcf(c_292825,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQMap: vQMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(sK50(X0_vQMap),sK122(X0_vOptAType),vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType )
| ( vecheck(vtypeQM(X0_vQMap),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282096,c_282958]) ).
tcf(c_292826,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X1_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X1_vQID,sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(X1_vQID,sK122(X0_vOptAType),vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) != vnoAType )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282083,c_282958]) ).
tcf(c_292827,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282085,c_282958]) ).
tcf(c_292828,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282084,c_282958]) ).
tcf(c_292829,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),sK103(X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(sK103(X0_vATMap),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282322,c_282958]) ).
tcf(c_292875,plain,
! [X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( sK124(X0_vOptAval) = sK125(X0_vOptAval) ) ),
inference(superposition,[status(thm)],[c_351,c_292695]) ).
tcf(c_292899,plain,
! [X0_vAval: vAval] :
( ( vsomeAval(X0_vAval) = vnoAval )
| ( sK124(vsomeAval(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_292875,c_292695]) ).
tcf(c_292900,plain,
! [X0_vAval: vAval] : sK124(vsomeAval(X0_vAval)) = X0_vAval,
inference(forward_subsumption_resolution,[status(thm)],[c_292899,c_350]) ).
tcf(c_292909,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(X1_vQID,sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(X1_vQID,sK146(X0_vOptAType),vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,vqvar(X1_vQID)) != vnoAType )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_239,c_282959]) ).
tcf(c_292911,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqsingle(vvalue(X0_vQID,sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vatmempty),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(vatmempty,X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_255,c_282959]) ).
tcf(c_292912,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282095,c_282959]) ).
tcf(c_292913,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK101(X0_vATMap),sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(sK101(X0_vATMap),sK146(X0_vOptAType),X0_vATMap),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType )
| ( vecheck(X0_vATMap,X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282321,c_282959]) ).
tcf(c_292914,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQMap: vQMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(sK50(X0_vQMap),sK146(X0_vOptAType),vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType )
| ( vecheck(vtypeQM(X0_vQMap),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282097,c_282959]) ).
tcf(c_292915,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQMap: vQMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vvalue(sK50(X0_vQMap),sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(sK50(X0_vQMap),sK146(X0_vOptAType),vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType )
| ( vecheck(vtypeQM(X0_vQMap),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282096,c_282959]) ).
tcf(c_292916,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X1_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vvalue(X1_vQID,sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(X1_vQID,sK146(X0_vOptAType),vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) != vnoAType )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282083,c_282959]) ).
tcf(c_292917,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282085,c_282959]) ).
tcf(c_292918,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vvalue(X0_vQID,sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282084,c_282959]) ).
tcf(c_292919,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqsingle(vvalue(X0_vQID,sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),sK103(X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(sK103(X0_vATMap),X0_vExp) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282322,c_282959]) ).
tcf(c_292958,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X2_vQID)))
| ( X1_vQID = X2_vQID )
| ( X0_vQID = X2_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vunop(X0_vUnOpT,vqvar(X2_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_282998]) ).
tcf(c_292959,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( visSomeAType(vsomeAType(X1_vAType))
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_240,c_282998]) ).
tcf(c_292960,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vnoAType)
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmempty),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_255,c_282998]) ).
tcf(c_292961,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vsomeAType(vtypeOf(X0_vAval)))
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_282998]) ).
tcf(c_292962,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType] :
( visSomeAType(vsomeAType(sK102(X0_vATMap)))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vunop(X0_vUnOpT,vqvar(sK101(X0_vATMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_282998]) ).
tcf(c_292963,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vunop(X0_vUnOpT,vqvar(sK50(X0_vQMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_282998]) ).
tcf(c_292964,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vunop(X0_vUnOpT,vqvar(sK50(X0_vQMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_282998]) ).
tcf(c_292965,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID,X2_vQID: vQID] :
( visSomeAType(vecheck(vtypeAM(X0_vAnsMap),vqvar(X2_vQID)))
| ( X1_vQID = X2_vQID )
| ( X0_vQID = X2_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vunop(X0_vUnOpT,vqvar(X2_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_282998]) ).
tcf(c_292966,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_282998]) ).
tcf(c_292967,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( sK50(X0_vQMap) = X1_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_282998]) ).
tcf(c_292968,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,sK103(X0_vATMap)),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_282998]) ).
tcf(c_292969,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vsomeAType(sK146(vecheck(X0_vATMap,vqvar(X1_vQID)))) = vecheck(X0_vATMap,vqvar(X1_vQID)) )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282998,c_399]) ).
tcf(c_292970,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmempty),vunop(X0_vUnOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_292960,c_401]) ).
tcf(c_293013,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( visSomeAType(vnoAType)
| ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vbinop(vunop(X0_vUnOpT,X0_vExp),X0_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283003,c_305]) ).
tcf(c_293014,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vunop(X1_vUnOpT,X0_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283003,c_304]) ).
tcf(c_293016,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vunop(X0_vUnOpT,X0_vExp),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283003,c_302]) ).
tcf(c_293017,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( visSomeAType(vnoAType)
| ( vsomeAType(sK146(vecheck(X0_vATMap,X1_vExp))) = vecheck(X0_vATMap,X1_vExp) )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,X1_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283003,c_306]) ).
tcf(c_293018,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vunop(X1_vUnOpT,X0_vExp))) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293014,c_401]) ).
tcf(c_293021,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X1_vExp))) = vecheck(X0_vATMap,X1_vExp) )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,X1_vExp))) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293017,c_401]) ).
tcf(c_293024,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vbinop(vunop(X0_vUnOpT,X0_vExp),X0_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293013,c_401]) ).
tcf(c_293036,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X2_vQID)))
| ( X1_vQID = X2_vQID )
| ( X0_vQID = X2_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vbinop(vqvar(X2_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_283015]) ).
tcf(c_293037,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( visSomeAType(vsomeAType(X1_vAType))
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_240,c_283015]) ).
tcf(c_293038,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vnoAType)
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmempty),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_255,c_283015]) ).
tcf(c_293039,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vsomeAType(vtypeOf(X0_vAval)))
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_283015]) ).
tcf(c_293040,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType] :
( visSomeAType(vsomeAType(sK102(X0_vATMap)))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vbinop(vqvar(sK101(X0_vATMap)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_283015]) ).
tcf(c_293041,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vbinop(vqvar(sK50(X0_vQMap)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_283015]) ).
tcf(c_293042,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vbinop(vqvar(sK50(X0_vQMap)),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_283015]) ).
tcf(c_293043,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID,X2_vQID: vQID] :
( visSomeAType(vecheck(vtypeAM(X0_vAnsMap),vqvar(X2_vQID)))
| ( X1_vQID = X2_vQID )
| ( X0_vQID = X2_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vbinop(vqvar(X2_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_283015]) ).
tcf(c_293044,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_283015]) ).
tcf(c_293045,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( sK50(X0_vQMap) = X1_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_283015]) ).
tcf(c_293046,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,sK103(X0_vATMap)),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_283015]) ).
tcf(c_293047,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vsomeAType(sK146(vecheck(X0_vATMap,vqvar(X1_vQID)))) = vecheck(X0_vATMap,vqvar(X1_vQID)) )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283015,c_399]) ).
tcf(c_293048,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmempty),vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293038,c_401]) ).
tcf(c_293089,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vecheck(X0_vATMap,X0_vExp) = vnoAType )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( vsomeAType(sK146(vecheck(X0_vATMap,sK149(X0_vExp)))) = vecheck(X0_vATMap,sK149(X0_vExp)) ) ),
inference(superposition,[status(thm)],[c_408,c_283020]) ).
tcf(c_293090,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( visSomeAType(vnoAType)
| ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vbinop(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vBinOpT,X2_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283020,c_305]) ).
tcf(c_293091,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( visSomeAType(vnoAType)
| ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283020,c_304]) ).
tcf(c_293093,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283020,c_302]) ).
tcf(c_293094,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( visSomeAType(vnoAType)
| ( vsomeAType(sK146(vecheck(X0_vATMap,X1_vExp))) = vecheck(X0_vATMap,X1_vExp) )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,X2_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283020,c_306]) ).
tcf(c_293095,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293091,c_401]) ).
tcf(c_293098,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X1_vExp))) = vecheck(X0_vATMap,X1_vExp) )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,X2_vExp))) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293094,c_401]) ).
tcf(c_293101,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vbinop(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vBinOpT,X2_vExp)) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293090,c_401]) ).
tcf(c_293113,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp)),X2_vBinOpT,X2_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283149,c_305]) ).
tcf(c_293114,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283149,c_304]) ).
tcf(c_293116,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(X0_vExp,X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283149,c_302]) ).
tcf(c_293117,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vbinop(vqvar(X0_vQID),X2_vBinOpT,X2_vExp)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283149,c_306]) ).
tcf(c_293118,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293114,c_401]) ).
tcf(c_293119,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vbinop(vqvar(X0_vQID),X2_vBinOpT,X2_vExp)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293117,c_401]) ).
tcf(c_293120,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp)),X2_vBinOpT,X2_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293113,c_401]) ).
tcf(c_293121,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp),X2_vBinOpT,X2_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283150,c_305]) ).
tcf(c_293122,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283150,c_304]) ).
tcf(c_293124,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283150,c_302]) ).
tcf(c_293125,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp),X2_vBinOpT,X2_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283150,c_306]) ).
tcf(c_293126,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293122,c_401]) ).
tcf(c_293127,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp),X2_vBinOpT,X2_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293125,c_401]) ).
tcf(c_293128,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vbinop(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp),X2_vBinOpT,X2_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293121,c_401]) ).
tcf(c_293141,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X2_vQID)))
| ( X1_vQID = X2_vQID )
| ( X0_vQID = X2_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vbinop(X0_vExp,X0_vBinOpT,vqvar(X2_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_283043]) ).
tcf(c_293142,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( visSomeAType(vsomeAType(X1_vAType))
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_240,c_283043]) ).
tcf(c_293143,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vnoAType)
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmempty),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_255,c_283043]) ).
tcf(c_293144,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vsomeAType(vtypeOf(X0_vAval)))
| ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_283043]) ).
tcf(c_293145,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType] :
( visSomeAType(vsomeAType(sK102(X0_vATMap)))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vbinop(X0_vExp,X0_vBinOpT,vqvar(sK101(X0_vATMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_283043]) ).
tcf(c_293146,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vbinop(X0_vExp,X0_vBinOpT,vqvar(sK50(X0_vQMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_283043]) ).
tcf(c_293147,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType] :
( visSomeAType(vsomeAType(sK52(X0_vQMap)))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),vbinop(X0_vExp,X0_vBinOpT,vqvar(sK50(X0_vQMap)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_283043]) ).
tcf(c_293148,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID,X2_vQID: vQID] :
( visSomeAType(vecheck(vtypeAM(X0_vAnsMap),vqvar(X2_vQID)))
| ( X1_vQID = X2_vQID )
| ( X0_vQID = X2_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vbinop(X0_vExp,X0_vBinOpT,vqvar(X2_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_283043]) ).
tcf(c_293149,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_283043]) ).
tcf(c_293150,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( sK50(X0_vQMap) = X1_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_283043]) ).
tcf(c_293151,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X1_vQID)))
| ( X0_vQID = X1_vQID )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,sK103(X0_vATMap)),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_283043]) ).
tcf(c_293152,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vsomeAType(sK146(vecheck(X0_vATMap,vqvar(X1_vQID)))) = vecheck(X0_vATMap,vqvar(X1_vQID)) )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283043,c_399]) ).
tcf(c_293153,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,vatmempty),vbinop(X0_vExp,X0_vBinOpT,vqvar(X1_vQID))) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293143,c_401]) ).
tcf(c_293208,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vecheck(X0_vATMap,X0_vExp) = vnoAType )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( vsomeAType(sK146(vecheck(X0_vATMap,sK151(X0_vExp)))) = vecheck(X0_vATMap,sK151(X0_vExp)) ) ),
inference(superposition,[status(thm)],[c_408,c_283049]) ).
tcf(c_293209,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( visSomeAType(vnoAType)
| ( vsomeAType(sK146(vecheck(X0_vATMap,X1_vExp))) = vecheck(X0_vATMap,X1_vExp) )
| ( vecheck(X0_vATMap,vbinop(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vBinOpT,X2_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283049,c_305]) ).
tcf(c_293210,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( visSomeAType(vnoAType)
| ( vsomeAType(sK146(vecheck(X0_vATMap,X1_vExp))) = vecheck(X0_vATMap,X1_vExp) )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283049,c_304]) ).
tcf(c_293212,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqcond(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(sK146(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283049,c_302]) ).
tcf(c_293213,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( visSomeAType(vnoAType)
| ( vsomeAType(sK146(vecheck(X0_vATMap,X2_vExp))) = vecheck(X0_vATMap,X2_vExp) )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,X2_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283049,c_306]) ).
tcf(c_293214,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X1_vExp))) = vecheck(X0_vATMap,X1_vExp) )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293210,c_401]) ).
tcf(c_293217,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X2_vExp))) = vecheck(X0_vATMap,X2_vExp) )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,X2_vExp))) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293213,c_401]) ).
tcf(c_293220,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( ( vsomeAType(sK146(vecheck(X0_vATMap,X1_vExp))) = vecheck(X0_vATMap,X1_vExp) )
| ( vecheck(X0_vATMap,vbinop(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vBinOpT,X2_vExp)) = vnoAType ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293209,c_401]) ).
tcf(c_293235,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X0_vAnsMap))
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283064,c_334]) ).
tcf(c_293236,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283064,c_419]) ).
tcf(c_293237,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283064,c_418]) ).
tcf(c_293251,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID))),X2_vBinOpT,X2_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283157,c_305]) ).
tcf(c_293252,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283157,c_304]) ).
tcf(c_293254,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283157,c_302]) ).
tcf(c_293255,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vbinop(X2_vExp,X2_vBinOpT,vqvar(X0_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283157,c_306]) ).
tcf(c_293256,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293252,c_401]) ).
tcf(c_293257,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vbinop(X2_vExp,X2_vBinOpT,vqvar(X0_vQID))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293255,c_401]) ).
tcf(c_293258,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID))),X2_vBinOpT,X2_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293251,c_401]) ).
tcf(c_293259,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp),X2_vBinOpT,X2_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283158,c_305]) ).
tcf(c_293260,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283158,c_304]) ).
tcf(c_293262,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283158,c_302]) ).
tcf(c_293263,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID)),X2_vBinOpT,X2_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283158,c_306]) ).
tcf(c_293264,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293260,c_401]) ).
tcf(c_293265,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID)),X2_vBinOpT,X2_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293263,c_401]) ).
tcf(c_293266,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT] : vecheck(vatmempty,vbinop(vbinop(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp),X2_vBinOpT,X2_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293259,c_401]) ).
tcf(c_293294,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| visSomeExp(vreduceExp(X2_vExp,X1_vAnsMap))
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283075,c_334]) ).
tcf(c_293295,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283075,c_419]) ).
tcf(c_293296,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283075,c_418]) ).
tcf(c_293318,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( visSomeExp(vnoExp)
| vexpIsValue(X1_vExp)
| ( sK154(X1_vExp) = X1_vExp )
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283557,c_283103]) ).
tcf(c_293320,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283166,c_283103]) ).
tcf(c_293321,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vunop(X0_vUnOpT,vqvar(X0_vQID)))
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_285234,c_283103]) ).
tcf(c_293322,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( vsomeExp(sK74(vreduceExp(X1_vExp,X0_vAnsMap))) = vreduceExp(X1_vExp,X0_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283103,c_135]) ).
tcf(c_293323,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK154(X2_vExp) = X2_vExp )
| ( vreduceExp(vbinop(X2_vExp,X1_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_283103,c_452]) ).
tcf(c_293324,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK154(X2_vExp) = X2_vExp )
| ( vreduceExp(vbinop(X2_vExp,X1_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283103,c_451]) ).
tcf(c_293325,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK154(X1_vExp) = X1_vExp )
| ( vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283103,c_450]) ).
tcf(c_293326,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X1_vExp) = X1_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283103,c_449]) ).
tcf(c_293327,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X1_vExp) = X1_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283103,c_448]) ).
tcf(c_293328,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X1_vExp) = X1_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283103,c_447]) ).
tcf(c_293329,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK154(X1_vExp) = X1_vExp )
| ( vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283103,c_402]) ).
tcf(c_293330,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( vexpIsValue(vqvar(X0_vQID))
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293320,c_337]) ).
tcf(c_293334,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK154(X1_vExp) = X1_vExp )
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293318,c_337]) ).
tcf(c_293339,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( vexpIsValue(vunop(X0_vUnOpT,vqvar(X0_vQID)))
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293321,c_337]) ).
tcf(c_293430,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( visSomeExp(vnoExp)
| vexpIsValue(vconstant(X1_vAval))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vconstant(X1_vAval)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_335,c_283104]) ).
tcf(c_293431,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283166,c_283104]) ).
tcf(c_293432,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vunop(X0_vUnOpT,vqvar(X0_vQID)))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_285234,c_283104]) ).
tcf(c_293433,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283104,c_135]) ).
tcf(c_293434,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vbinop(vconstant(X0_vAval),X1_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_283104,c_452]) ).
tcf(c_293435,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vbinop(vconstant(X0_vAval),X1_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283104,c_451]) ).
tcf(c_293436,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283104,c_450]) ).
tcf(c_293437,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283104,c_449]) ).
tcf(c_293438,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283104,c_448]) ).
tcf(c_293439,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283104,c_447]) ).
tcf(c_293440,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283104,c_402]) ).
tcf(c_293441,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( vexpIsValue(vqvar(X0_vQID))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293431,c_337]) ).
tcf(c_293444,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( vexpIsValue(vunop(X0_vUnOpT,vqvar(X0_vQID)))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vunop(X0_vUnOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293432,c_337]) ).
tcf(c_293524,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] : vreduceExp(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),vaempty) = vnoExp,
inference(global_subsumption_just,[status(thm)],[c_283228,c_38234,c_38235,c_68108]) ).
tcf(c_293526,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vqvar(X0_vQID),X1_vBinOpT,X0_vExp))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X0_vExp)),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_293524,c_283104]) ).
tcf(c_293533,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_293524,c_429]) ).
tcf(c_293534,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_293524,c_428]) ).
tcf(c_293535,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire)
| ( vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp) = vconstant(vB(vyes)) )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_293524,c_427]) ).
tcf(c_293537,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp))
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp))),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_293524,c_392]) ).
tcf(c_293538,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))
| ( vreduceExp(vbinop(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_293524,c_333]) ).
tcf(c_293539,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))
| ( vreduceExp(vunop(X0_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_293524,c_332]) ).
tcf(c_293540,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp))
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp)),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_293524,c_283103]) ).
tcf(c_293541,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( vexpIsValue(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))
| ( vreduceExp(vunop(X0_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp)),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293539,c_337]) ).
tcf(c_293544,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( vexpIsValue(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))
| ( vreduceExp(vbinop(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293538,c_337]) ).
tcf(c_293547,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( vexpIsValue(vbinop(vqvar(X0_vQID),X1_vBinOpT,X0_vExp))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X0_vExp)),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293526,c_337]) ).
tcf(c_293550,plain,
! [X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( vexpIsValue(vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp))
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vbinop(vqvar(X1_vQID),X0_vBinOpT,X0_vExp))),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293537,c_337]) ).
tcf(c_293553,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( vexpIsValue(vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp))
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp)),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293540,c_337]) ).
tcf(c_293557,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293535,c_337,c_410]) ).
tcf(c_293560,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293534,c_337]) ).
tcf(c_293564,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( sP29(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293533,c_337]) ).
tcf(c_293640,plain,
! [X0_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) ) ),
inference(equality_resolution,[status(thm)],[c_283553]) ).
tcf(c_293654,plain,
! [X0_vMapConf: vMapConf,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( vecheck(sK45(X0_vMapConf),vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(X0_vMapConf,vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_283117]) ).
tcf(c_293664,plain,
! [X0_vOptAval: vOptAval,X1_vOptAval: vOptAval] :
( ( X1_vOptAval = vnoAval )
| ( X0_vOptAval = vnoAval )
| ( sK124(X0_vOptAval) = sK124(X1_vOptAval) )
| ( X0_vOptAval != X1_vOptAval ) ),
inference(superposition,[status(thm)],[c_351,c_283129]) ).
tcf(c_293665,plain,
! [X0_vOptAval: vOptAval,X1_vOptAval: vOptAval] :
( ( X1_vOptAval = vnoAval )
| ( X0_vOptAval = vnoAval )
| ( sK124(X1_vOptAval) = sK125(X0_vOptAval) )
| ( X0_vOptAval != X1_vOptAval ) ),
inference(superposition,[status(thm)],[c_281967,c_283129]) ).
tcf(c_293681,plain,
! [X0_vOptAval: vOptAval,X1_vOptAval: vOptAval] :
( ( X1_vOptAval = vnoAval )
| ( X0_vOptAval = vnoAval )
| ( sK124(X0_vOptAval) = sK125(X1_vOptAval) )
| ( X0_vOptAval != X1_vOptAval ) ),
inference(superposition,[status(thm)],[c_351,c_283130]) ).
tcf(c_293682,plain,
! [X0_vOptAval: vOptAval,X1_vOptAval: vOptAval] :
( ( X1_vOptAval = vnoAval )
| ( X0_vOptAval = vnoAval )
| ( sK125(X0_vOptAval) = sK125(X1_vOptAval) )
| ( X0_vOptAval != X1_vOptAval ) ),
inference(superposition,[status(thm)],[c_281967,c_283130]) ).
tcf(c_293701,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X0_vAnsMap))
| ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_293640,c_334]) ).
tcf(c_293702,plain,
! [X0_vExp: vExp] :
( ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) )
| ( vconstant(sK156(X0_vExp)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_293640,c_419]) ).
tcf(c_293703,plain,
! [X0_vExp: vExp] :
( ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) )
| ( vconstant(sK155(X0_vExp)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_293640,c_418]) ).
tcf(c_293787,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK154(X1_vExp) = X1_vExp )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_283554]) ).
tcf(c_293788,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] : sK154(vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp),
inference(equality_resolution,[status(thm)],[c_283554]) ).
tcf(c_293799,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vreduceExp(vqvar(X0_vQID),X0_vAnsMap) = vnoExp )
| ( vsomeAval(sK124(vlookupAnsMap(X0_vQID,X0_vAnsMap))) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_292875,c_283165]) ).
tcf(c_293801,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vsomeAval(sK125(vsomeAval(X0_vAval))) = vsomeAval(X0_vAval) )
| ( vreduceExp(vqvar(X0_vQID),vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_352,c_283165]) ).
tcf(c_293802,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vsomeAval(sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap))) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_357,c_283165]) ).
tcf(c_293803,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vsomeAval(sK125(vsomeAval(sK48(X0_vAnsMap)))) = vsomeAval(sK48(X0_vAnsMap)) )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282594,c_283165]) ).
tcf(c_293804,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vsomeAval(sK125(vsomeAval(sK48(X0_vAnsMap)))) = vsomeAval(sK48(X0_vAnsMap)) )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282595,c_283165]) ).
tcf(c_293805,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vsomeAval(sK125(vsomeAval(sK90(X0_vAnsMap)))) = vsomeAval(sK90(X0_vAnsMap)) )
| ( vreduceExp(vqvar(sK89(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282596,c_283165]) ).
tcf(c_293806,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap)) = sK125(X0_vOptAval) )
| ( vreduceExp(vqvar(X0_vQID),X0_vAnsMap) = vnoExp )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_283165,c_283130]) ).
tcf(c_293807,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap)) = sK124(X0_vOptAval) )
| ( vreduceExp(vqvar(X0_vQID),X0_vAnsMap) = vnoExp )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_283165,c_283129]) ).
tcf(c_293808,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK124(vlookupAnsMap(X0_vQID,X0_vAnsMap)) = sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap)) )
| ( vreduceExp(vqvar(X0_vQID),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283165,c_292900]) ).
tcf(c_293810,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vreduceExp(vqvar(X0_vQID),X0_vAnsMap) = vnoExp )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) != vnoAval ) ),
inference(superposition,[status(thm)],[c_283165,c_350]) ).
tcf(c_293812,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap)) = X0_vAval )
| ( vreduceExp(vqvar(X0_vQID),X0_vAnsMap) = vnoExp )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) != vsomeAval(X0_vAval) ) ),
inference(superposition,[status(thm)],[c_283165,c_355]) ).
tcf(c_293859,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X1_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vlookupAnsMap(X1_vQID,vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vlookupAnsMap(X1_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_286955,c_283174]) ).
tcf(c_293860,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK47(X0_vAnsMap) = X0_vQID )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vreduceExp(vqvar(X0_vQID),sK49(X0_vAnsMap)) = vnoExp )
| ( vsomeAval(sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap))) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283174,c_283165]) ).
tcf(c_293861,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeAval(vlookupAnsMap(X0_vQID,X0_vAnsMap))
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vreduceExp(vqvar(X0_vQID),sK49(X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283174,c_356]) ).
tcf(c_293862,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK47(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vtypeAM(sK49(X0_vAnsMap)) = vatmempty )
| ( vlookupAnsMap(sK47(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK48(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283174,c_282594]) ).
tcf(c_293863,plain,
! [X0_vAnsMap: vAnsMap] :
( ( sK49(X0_vAnsMap) = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK47(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vlookupAnsMap(sK47(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK48(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283174,c_282595]) ).
tcf(c_293864,plain,
! [X0_vAnsMap: vAnsMap] :
( ( sK49(X0_vAnsMap) = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK89(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vlookupAnsMap(sK89(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK90(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283174,c_282596]) ).
tcf(c_293869,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vlookupAnsMap(X0_vQID,vabind(X1_vQID,X0_vAval,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(light_normalisation,[status(thm)],[c_293859,c_286830]) ).
tcf(c_293911,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X1_vQID )
| ( vlookupAnsMap(X1_vQID,vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vlookupAnsMap(X1_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_286955,c_283175]) ).
tcf(c_293912,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(X0_vQID),sK49(X0_vAnsMap)) = vnoExp )
| ( vsomeAval(sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap))) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283175,c_283165]) ).
tcf(c_293913,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeAval(vlookupAnsMap(X0_vQID,X0_vAnsMap))
| ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(X0_vQID),sK49(X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283175,c_356]) ).
tcf(c_293914,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK47(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vtypeAM(sK49(X0_vAnsMap)) = vatmempty )
| ( vlookupAnsMap(sK47(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK48(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283175,c_282594]) ).
tcf(c_293915,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = vaempty )
| ( sK47(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vlookupAnsMap(sK47(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK48(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283175,c_282595]) ).
tcf(c_293916,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = vaempty )
| ( sK89(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vlookupAnsMap(sK89(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK90(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283175,c_282596]) ).
tcf(c_293921,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vabind(X1_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vlookupAnsMap(X0_vQID,vabind(X1_vQID,X0_vAval,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(light_normalisation,[status(thm)],[c_293911,c_286830]) ).
tcf(c_293939,plain,
! [X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_293788]) ).
tcf(c_293947,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID)))),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283610,c_305]) ).
tcf(c_293948,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT,X3_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vunop(X3_vUnOpT,vqvar(X0_vQID)))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283610,c_304]) ).
tcf(c_293950,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vUnOpT: vUnOpT,X2_vATMap: vATMap,X2_vUnOpT: vUnOpT] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID)))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283610,c_302]) ).
tcf(c_293951,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID)))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283610,c_306]) ).
tcf(c_293952,plain,
! [X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT,X3_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vunop(X3_vUnOpT,vqvar(X0_vQID)))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293948,c_401]) ).
tcf(c_293953,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID)))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293951,c_401]) ).
tcf(c_293954,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID)))),X0_vBinOpT,X0_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_293947,c_401]) ).
tcf(c_293972,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vlookupAnsMap(X0_vQID,sK49(X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287437,c_283176]) ).
tcf(c_293973,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,sK49(X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_286981,c_283176]) ).
tcf(c_293974,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK89(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = X1_vQID )
| ( vlookupAnsMap(X1_vQID,vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vlookupAnsMap(X1_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287363,c_283176]) ).
tcf(c_293975,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(X0_vQID),sK91(X0_vAnsMap)) = vnoExp )
| ( vsomeAval(sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap))) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283176,c_283165]) ).
tcf(c_293976,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeAval(vlookupAnsMap(X0_vQID,X0_vAnsMap))
| ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(X0_vQID),sK91(X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283176,c_356]) ).
tcf(c_293977,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK47(sK91(X0_vAnsMap)) = sK89(X0_vAnsMap) )
| ( vtypeAM(sK91(X0_vAnsMap)) = vatmempty )
| ( vlookupAnsMap(sK47(sK91(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK48(sK91(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283176,c_282594]) ).
tcf(c_293978,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( sK47(sK91(X0_vAnsMap)) = sK89(X0_vAnsMap) )
| ( vlookupAnsMap(sK47(sK91(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK48(sK91(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283176,c_282595]) ).
tcf(c_293979,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( sK89(sK91(X0_vAnsMap)) = sK89(X0_vAnsMap) )
| ( vlookupAnsMap(sK89(sK91(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK90(sK91(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283176,c_282596]) ).
tcf(c_294027,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vQID: vQID] :
( visSomeAval(vnoAval)
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,vaempty)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_236,c_283177]) ).
tcf(c_294028,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( visSomeAval(vsomeAval(X1_vAval))
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,vabind(X0_vQID,X1_vAval,X0_vAnsMap))) = vnoExp ) ),
inference(superposition,[status(thm)],[c_352,c_283177]) ).
tcf(c_294029,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID,X2_vQID: vQID] :
( visSomeAval(vlookupAnsMap(X0_vQID,X0_vAnsMap))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,vabind(X2_vQID,X1_vAval,X0_vAnsMap))) = vnoExp ) ),
inference(superposition,[status(thm)],[c_357,c_283177]) ).
tcf(c_294030,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeAval(vsomeAval(sK48(X0_vAnsMap)))
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282594,c_283177]) ).
tcf(c_294031,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeAval(vsomeAval(sK48(X0_vAnsMap)))
| ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282595,c_283177]) ).
tcf(c_294032,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeAval(vsomeAval(sK90(X0_vAnsMap)))
| ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(sK89(X0_vAnsMap)),vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282596,c_283177]) ).
tcf(c_294033,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( visSomeAval(vlookupAnsMap(X0_vQID,X0_vAnsMap))
| ( X0_vQID = X1_vQID )
| ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,sK49(X0_vAnsMap))) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283175,c_283177]) ).
tcf(c_294034,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( visSomeAval(vlookupAnsMap(X0_vQID,X0_vAnsMap))
| ( X0_vQID = X1_vQID )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,sK49(X0_vAnsMap))) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283174,c_283177]) ).
tcf(c_294035,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( visSomeAval(vlookupAnsMap(X0_vQID,X0_vAnsMap))
| ( X0_vQID = X1_vQID )
| ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,sK91(X0_vAnsMap))) = vnoExp ) ),
inference(superposition,[status(thm)],[c_283176,c_283177]) ).
tcf(c_294037,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,vaempty)) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_294027,c_349]) ).
tcf(c_294080,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap,X2_vQID: vQID,X2_vAType: vAType,X3_vATMap: vATMap] :
( ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X1_vAType,vatmbind(X2_vQID,X2_vAType,X0_vATMap))),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_239,c_283197]) ).
tcf(c_294081,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap,X2_vAType: vAType,X3_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X1_vQID,X1_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X2_vAType,vatmbind(X1_vQID,X0_vAType,X1_vATMap))),vqsingle(vask(X1_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_240,c_283197]) ).
tcf(c_294083,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( vatmbind(X1_vQID,X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)))),vqsingle(vask(X1_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282095,c_283197]) ).
tcf(c_294084,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vatmbind(sK101(X0_vATMap),X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,vatmbind(X0_vQID,X1_vAType,X0_vATMap)),vqsingle(vask(sK101(X0_vATMap))),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(sK102(X0_vATMap)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282321,c_283197]) ).
tcf(c_294085,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType,X2_vATMap: vATMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vtypeQM(X0_vQMap))),vqsingle(vask(sK50(X0_vQMap))),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282097,c_283197]) ).
tcf(c_294086,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType,X2_vATMap: vATMap] :
( ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vtypeQM(X0_vQMap))),vqsingle(vask(sK50(X0_vQMap))),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282096,c_283197]) ).
tcf(c_294087,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap,X2_vQID: vQID] :
( ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X1_vAType,vtypeAM(vabind(X2_vQID,X0_vAval,X0_vAnsMap)))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282083,c_283197]) ).
tcf(c_294088,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X1_vAType,vtypeQM(sK53(X0_vQMap)))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282085,c_283197]) ).
tcf(c_294089,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X1_vAType,vtypeQM(sK53(X0_vQMap)))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282084,c_283197]) ).
tcf(c_294090,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X1_vAType,sK103(X0_vATMap))),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282322,c_283197]) ).
tcf(c_294091,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK122(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_283197]) ).
tcf(c_294092,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK146(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_283197]) ).
tcf(c_294174,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vnoQConf)
| ( vqseq(vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire),X1_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqseq(vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire),X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,vqmempty) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284321,c_430]) ).
tcf(c_294175,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] : vreduce(vqseq(vqseq(vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire),X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,vqmempty) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_294174,c_434,c_101]) ).
tcf(c_294183,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,sK122(X0_vOptAType),X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_283198]) ).
tcf(c_294184,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,sK146(X0_vOptAType),X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_283198]) ).
tcf(c_294185,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK122(X0_vOptAType),X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_283198]) ).
tcf(c_294186,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK146(X0_vOptAType),X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_283198]) ).
tcf(c_294187,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap)) ),
inference(equality_resolution,[status(thm)],[c_283198]) ).
tcf(c_294231,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK122(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282095,c_283200]) ).
tcf(c_294232,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( vatmbind(sK101(X0_vATMap),sK122(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK101(X0_vATMap))),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(sK102(X0_vATMap)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282321,c_283200]) ).
tcf(c_294233,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( vatmbind(sK50(X0_vQMap),sK122(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282097,c_283200]) ).
tcf(c_294234,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),sK122(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282096,c_283200]) ).
tcf(c_294235,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQID: vQID,X2_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK122(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282083,c_283200]) ).
tcf(c_294236,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vatmbind(X0_vQID,sK122(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282085,c_283200]) ).
tcf(c_294237,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(X0_vQID,sK122(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282084,c_283200]) ).
tcf(c_294238,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vatmbind(X0_vQID,sK122(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,sK103(X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282322,c_283200]) ).
tcf(c_294239,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vecheck(X1_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vatmbind(X0_vQID,sK122(vecheck(X1_vATMap,vqvar(X0_vQID))),X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap)) ),
inference(equality_resolution,[status(thm)],[c_283200]) ).
tcf(c_294319,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK146(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282095,c_283201]) ).
tcf(c_294320,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( vatmbind(sK101(X0_vATMap),sK146(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK101(X0_vATMap))),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(sK102(X0_vATMap)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282321,c_283201]) ).
tcf(c_294321,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( vatmbind(sK50(X0_vQMap),sK146(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282097,c_283201]) ).
tcf(c_294322,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),sK146(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(X0_vQMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(sK52(X0_vQMap)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282096,c_283201]) ).
tcf(c_294323,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vATMap: vATMap,X1_vQID: vQID,X2_vATMap: vATMap] :
( ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vatmbind(X0_vQID,sK146(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282083,c_283201]) ).
tcf(c_294324,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vatmbind(X0_vQID,sK146(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282085,c_283201]) ).
tcf(c_294325,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(X0_vQID,sK146(X0_vOptAType),X0_vATMap) = X1_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vtypeQM(sK53(X0_vQMap))),vqsingle(vask(X0_vQID)),vMC(X1_vATMap,X2_vATMap))
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282084,c_283201]) ).
tcf(c_294326,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vatmbind(X0_vQID,sK146(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,sK103(X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282322,c_283201]) ).
tcf(c_294327,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vecheck(X1_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vatmbind(X0_vQID,sK146(vecheck(X1_vATMap,vqvar(X0_vQID))),X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap)) ),
inference(equality_resolution,[status(thm)],[c_283201]) ).
tcf(c_294434,plain,
! [X0_vQConf: vQConf] :
( ( sK43(X0_vQConf) = sK33 )
| ( vQC(sK34,sK33,vq2) != X0_vQConf ) ),
inference(light_normalisation,[status(thm)],[c_287238,c_287864,c_287984]) ).
tcf(c_294435,plain,
! [X0_vQConf: vQConf] :
( ( sK44(X0_vQConf) = vq2 )
| ( vQC(sK34,sK33,vq2) != X0_vQConf ) ),
inference(light_normalisation,[status(thm)],[c_287240,c_287864,c_287984]) ).
tcf(c_294443,plain,
! [X0_vOptExp: vOptExp,X1_vOptExp: vOptExp] :
( ( X1_vOptExp = vnoExp )
| ( X0_vOptExp = vnoExp )
| ( vgetExp(X1_vOptExp) = sK74(X0_vOptExp) )
| ( X0_vOptExp != X1_vOptExp ) ),
inference(superposition,[status(thm)],[c_281551,c_283239]) ).
tcf(c_294444,plain,
! [X0_vOptExp: vOptExp,X1_vOptExp: vOptExp] :
( ( X1_vOptExp = vnoExp )
| ( X0_vOptExp = vnoExp )
| ( vgetExp(X1_vOptExp) = sK123(X0_vOptExp) )
| ( X0_vOptExp != X1_vOptExp ) ),
inference(superposition,[status(thm)],[c_339,c_283239]) ).
tcf(c_294445,plain,
! [X0_vOptExp: vOptExp,X1_vOptExp: vOptExp] :
( ( X1_vOptExp = vnoExp )
| ( X0_vOptExp = vnoExp )
| ( vgetExp(X0_vOptExp) = vgetExp(X1_vOptExp) )
| ( X0_vOptExp != X1_vOptExp ) ),
inference(superposition,[status(thm)],[c_283085,c_283239]) ).
tcf(c_294465,plain,
! [X0_vMapConf: vMapConf,X0_vQID: vQID,X1_vMapConf: vMapConf] :
( ( vsomeAType(sK126(sK46(X0_vMapConf),X0_vQID)) = vecheck(sK46(X0_vMapConf),vqvar(X0_vQID)) )
| ~ vptcheck(X0_vMapConf,vqsingle(vask(X0_vQID)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_283248]) ).
tcf(c_294474,plain,
! [X0_vMapConf: vMapConf,X0_vQID: vQID,X1_vMapConf: vMapConf] :
( ( vecheck(sK45(X0_vMapConf),vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(X0_vMapConf,vqsingle(vask(X0_vQID)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_283259]) ).
tcf(c_294486,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID,X2_vAType: vAType] :
( vptcheck(vMC(X1_vATMap,vatmbind(X2_vQID,X1_vAType,vatmbind(X1_vQID,X2_vAType,X0_vATMap))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X1_vATMap),vatmbind(X2_vQID,X1_vAType,vatmbind(X1_vQID,X2_vAType,X0_vATMap))))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_239,c_283270]) ).
tcf(c_294487,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X2_vAType,vatmbind(X0_vQID,X0_vAType,X1_vATMap))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X1_vAType,X0_vATMap),vatmbind(X1_vQID,X2_vAType,vatmbind(X0_vQID,X0_vAType,X1_vATMap))))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_240,c_283270]) ).
tcf(c_294489,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X1_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vatmbind(X1_vQID,X1_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_283270]) ).
tcf(c_294490,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,X1_vATMap)),vqsingle(vask(sK101(X1_vATMap))),vMC(vatmbind(sK101(X1_vATMap),X0_vAType,X0_vATMap),vatmbind(X0_vQID,X1_vAType,X1_vATMap)))
| ( X1_vATMap = vatmempty )
| ( sK101(X1_vATMap) = X0_vQID )
| ( vsomeAType(sK102(X1_vATMap)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(sK101(X1_vATMap))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_283270]) ).
tcf(c_294491,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vtypeQM(X0_vQMap))),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap),vatmbind(X0_vQID,X1_vAType,vtypeQM(X0_vQMap))))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(sK50(X0_vQMap))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_283270]) ).
tcf(c_294492,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vtypeQM(X0_vQMap))),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap),vatmbind(X0_vQID,X1_vAType,vtypeQM(X0_vQMap))))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(sK50(X0_vQMap))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_283270]) ).
tcf(c_294493,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID] :
( vptcheck(vMC(X0_vATMap,vatmbind(X2_vQID,X1_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vatmbind(X2_vQID,X1_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)))))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282083,c_283270]) ).
tcf(c_294494,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X1_vAType,vtypeQM(sK53(X0_vQMap)))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vatmbind(X1_vQID,X1_vAType,vtypeQM(sK53(X0_vQMap)))))
| ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282085,c_283270]) ).
tcf(c_294495,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X1_vAType,vtypeQM(sK53(X0_vQMap)))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vatmbind(X1_vQID,X1_vAType,vtypeQM(sK53(X0_vQMap)))))
| ( X0_vQID = X1_vQID )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282084,c_283270]) ).
tcf(c_294496,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X1_vAType,sK103(X0_vATMap))),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X1_vATMap),vatmbind(X1_vQID,X1_vAType,sK103(X0_vATMap))))
| ( X0_vQID = X1_vQID )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_282322,c_283270]) ).
tcf(c_294497,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID] :
( vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),X1_vATMap),vatmbind(X1_vQID,X0_vAType,X0_vATMap)))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_299,c_283270]) ).
tcf(c_294498,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID] :
( vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),X1_vATMap),vatmbind(X1_vQID,X0_vAType,X0_vATMap)))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282055,c_283270]) ).
tcf(c_294657,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X2_vAType,X0_vATMap),vatmbind(X0_vQID,X0_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X2_vAType,X0_vATMap)),vatmbind(X0_vQID,X0_vAType,X1_vATMap)))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_283271]) ).
tcf(c_294659,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(vatmempty,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X1_vAType,vatmempty),vatmbind(X0_vQID,X0_vAType,X0_vATMap)))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_255,c_283271]) ).
tcf(c_294660,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vatmbind(X0_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X1_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),vatmbind(X0_vQID,X0_vAType,X0_vATMap)))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_283271]) ).
tcf(c_294661,plain,
! [X0_vATMap: vATMap,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(sK101(X0_vATMap),X0_vAType,X1_vATMap)),vqsingle(vask(sK101(X0_vATMap))),vMC(vatmbind(sK101(X0_vATMap),X1_vAType,X0_vATMap),vatmbind(sK101(X0_vATMap),X0_vAType,X1_vATMap)))
| ( X0_vATMap = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_283271]) ).
tcf(c_294662,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),X1_vAType,vtypeQM(X0_vQMap)),vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap)))
| ( X0_vQMap = vqmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_283271]) ).
tcf(c_294663,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(vtypeQM(X0_vQMap),vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap)),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),X1_vAType,vtypeQM(X0_vQMap)),vatmbind(sK50(X0_vQMap),X0_vAType,X0_vATMap)))
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_283271]) ).
tcf(c_294664,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),vatmbind(X0_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X1_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),vatmbind(X0_vQID,X0_vAType,X0_vATMap)))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_283271]) ).
tcf(c_294665,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),vatmbind(X0_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X1_vAType,vtypeQM(sK53(X0_vQMap))),vatmbind(X0_vQID,X0_vAType,X0_vATMap)))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_283271]) ).
tcf(c_294666,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),vatmbind(X0_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X1_vAType,vtypeQM(sK53(X0_vQMap))),vatmbind(X0_vQID,X0_vAType,X0_vATMap)))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_283271]) ).
tcf(c_294667,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType] :
( vptcheck(vMC(sK103(X0_vATMap),vatmbind(X0_vQID,X0_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X1_vAType,sK103(X0_vATMap)),vatmbind(X0_vQID,X0_vAType,X1_vATMap)))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_283271]) ).
tcf(c_294717,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeAval(vsomeAval(sK90(X0_vAnsMap)))
| ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_288446,c_283177]) ).
tcf(c_294718,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vsomeAval(sK125(vsomeAval(sK90(X0_vAnsMap)))) = vsomeAval(sK90(X0_vAnsMap)) )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_288446,c_283165]) ).
tcf(c_294719,plain,
! [X0_vAnsMap: vAnsMap] :
( visSomeAval(vsomeAval(sK90(X0_vAnsMap)))
| ( X0_vAnsMap = vaempty )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_288446,c_356]) ).
tcf(c_294722,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vsomeAval(sK48(X0_vAnsMap)) = vsomeAval(sK90(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_288446,c_282594]) ).
tcf(c_294723,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vsomeAval(sK48(X0_vAnsMap)) = vsomeAval(sK90(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_288446,c_282595]) ).
tcf(c_294724,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = vaempty )
| ( sK47(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vlookupAnsMap(sK47(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK90(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_288446,c_283175]) ).
tcf(c_294725,plain,
! [X0_vAnsMap: vAnsMap] :
( ( sK49(X0_vAnsMap) = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK47(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vlookupAnsMap(sK47(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK90(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_288446,c_283174]) ).
tcf(c_294726,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( sK47(sK91(X0_vAnsMap)) = sK89(X0_vAnsMap) )
| ( vlookupAnsMap(sK47(sK91(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK90(sK91(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_288446,c_283176]) ).
tcf(c_294897,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vatmbind(X1_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_283273]) ).
tcf(c_294899,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vatmempty),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_255,c_283273]) ).
tcf(c_294900,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282095,c_283273]) ).
tcf(c_294901,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK101(X1_vATMap))),vMC(vatmbind(sK101(X1_vATMap),sK122(X0_vOptAType),X1_vATMap),X0_vATMap))
| ( X1_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK102(X1_vATMap)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(sK101(X1_vATMap))) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282321,c_283273]) ).
tcf(c_294902,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),sK122(X0_vOptAType),vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(sK50(X0_vQMap))) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282097,c_283273]) ).
tcf(c_294903,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),sK122(X0_vOptAType),vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(sK50(X0_vQMap))) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282096,c_283273]) ).
tcf(c_294904,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_283273]) ).
tcf(c_294905,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_283273]) ).
tcf(c_294906,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_283273]) ).
tcf(c_294907,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK122(X0_vOptAType),sK103(X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_283273]) ).
tcf(c_294958,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vatmbind(X1_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_283274]) ).
tcf(c_294960,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vatmempty),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_255,c_283274]) ).
tcf(c_294961,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282095,c_283274]) ).
tcf(c_294962,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK101(X1_vATMap))),vMC(vatmbind(sK101(X1_vATMap),sK146(X0_vOptAType),X1_vATMap),X0_vATMap))
| ( X1_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK102(X1_vATMap)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(sK101(X1_vATMap))) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282321,c_283274]) ).
tcf(c_294963,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),sK146(X0_vOptAType),vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(sK50(X0_vQMap))) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282097,c_283274]) ).
tcf(c_294964,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap] :
( vptcheck(vMC(vtypeQM(X0_vQMap),X0_vATMap),vqsingle(vask(sK50(X0_vQMap))),vMC(vatmbind(sK50(X0_vQMap),sK146(X0_vOptAType),vtypeQM(X0_vQMap)),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(sK50(X0_vQMap))) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_282096,c_283274]) ).
tcf(c_294965,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_283274]) ).
tcf(c_294966,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_283274]) ).
tcf(c_294967,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( vptcheck(vMC(vtypeQM(sK53(X0_vQMap)),X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),vtypeQM(sK53(X0_vQMap))),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_283274]) ).
tcf(c_294968,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(sK103(X0_vATMap),X1_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,sK146(X0_vOptAType),sK103(X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( X0_vOptAType = vnoAType )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != X0_vOptAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_283274]) ).
tcf(c_295058,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vsomeAval(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vsomeAval(X0_vAval) ) ),
inference(superposition,[status(thm)],[c_287389,c_294723]) ).
tcf(c_295059,plain,
! [X0_vAnsMap: vAnsMap,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( X0_vAnsMap = vaempty )
| ( sK90(X0_vAnsMap) = sK125(X0_vOptAval) )
| ( vsomeAval(sK48(X0_vAnsMap)) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_294723,c_283130]) ).
tcf(c_295060,plain,
! [X0_vAnsMap: vAnsMap,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( X0_vAnsMap = vaempty )
| ( sK90(X0_vAnsMap) = sK124(X0_vOptAval) )
| ( vsomeAval(sK48(X0_vAnsMap)) != X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_294723,c_283129]) ).
tcf(c_295061,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK124(vsomeAval(sK48(X0_vAnsMap))) = sK90(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_294723,c_292900]) ).
tcf(c_295062,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK125(vsomeAval(sK48(X0_vAnsMap))) = sK90(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_294723,c_292695]) ).
tcf(c_295064,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vsomeAval(sK48(X0_vAnsMap)) != vnoAval ) ),
inference(superposition,[status(thm)],[c_294723,c_350]) ).
tcf(c_295065,plain,
! [X0_vAnsMap: vAnsMap] :
( visSomeAval(vsomeAval(sK48(X0_vAnsMap)))
| ( X0_vAnsMap = vaempty ) ),
inference(superposition,[status(thm)],[c_294723,c_354]) ).
tcf(c_295066,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK90(X0_vAnsMap) = X0_vAval )
| ( vsomeAval(sK48(X0_vAnsMap)) != vsomeAval(X0_vAval) ) ),
inference(superposition,[status(thm)],[c_294723,c_355]) ).
tcf(c_295092,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vT(X0_vstring) != X0_vAval )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(global_subsumption_just,[status(thm)],[c_283304,c_75003,c_137704,c_161064]) ).
tcf(c_295093,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(renaming,[status(thm)],[c_295092]) ).
tcf(c_295101,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK106(X1_vAval) )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_264,c_295093]) ).
tcf(c_295102,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK106(X1_vAval) )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_262,c_295093]) ).
tcf(c_295103,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK106(X1_vAval) )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_260,c_295093]) ).
tcf(c_295104,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK106(X1_vAval) )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_258,c_295093]) ).
tcf(c_295105,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X1_vAval) = sK129(X0_vAval) )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_295093]) ).
tcf(c_295106,plain,
! [X0_vstring: vstring] :
( ( sK106(vT(X0_vstring)) = X0_vstring )
| ( vtypeOf(vT(X0_vstring)) = vNumber ) ),
inference(equality_resolution,[status(thm)],[c_295093]) ).
tcf(c_295107,plain,
! [X0_vstring: vstring] :
( ( vNumber = vText )
| ( sK106(vT(X0_vstring)) = X0_vstring ) ),
inference(light_normalisation,[status(thm)],[c_295106,c_266]) ).
tcf(c_295108,plain,
! [X0_vstring: vstring] : sK106(vT(X0_vstring)) = X0_vstring,
inference(forward_subsumption_resolution,[status(thm)],[c_295107,c_366]) ).
tcf(c_295193,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vT(X0_vstring) != X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval ) ),
inference(global_subsumption_just,[status(thm)],[c_283305,c_80586,c_137704,c_161064]) ).
tcf(c_295194,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK106(X0_vAval) = X0_vstring )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(renaming,[status(thm)],[c_295193]) ).
tcf(c_295202,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK106(X1_vAval) )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_264,c_295194]) ).
tcf(c_295203,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK106(X1_vAval) )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_262,c_295194]) ).
tcf(c_295204,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK106(X1_vAval) )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_260,c_295194]) ).
tcf(c_295205,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK106(X1_vAval) )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_258,c_295194]) ).
tcf(c_295206,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X1_vAval) = sK129(X0_vAval) )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_295194]) ).
tcf(c_295251,plain,
! [X0_vAval: vAval] :
( ( sK106(X0_vAval) = sK129(X0_vAval) )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_295108]) ).
tcf(c_295275,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) )
| ( vB(sK127(sK155(X0_vExp))) = sK155(X0_vExp) )
| ( vNum(sK128(sK155(X0_vExp))) = sK155(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282182,c_283332]) ).
tcf(c_295276,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vecheck(X0_vATMap,X0_vExp) = vsomeAType(vText) )
| ( vB(sK127(sK156(X0_vExp))) = sK156(X0_vExp) )
| ( vNum(sK128(sK156(X0_vExp))) = sK156(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_282214,c_283332]) ).
tcf(c_295277,plain,
! [X0_vnat: vnat] :
( ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vB(sK127(vNum(X0_vnat))) = vNum(X0_vnat) )
| ( vNum(sK128(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(superposition,[status(thm)],[c_283332,c_109]) ).
tcf(c_295278,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283332,c_305]) ).
tcf(c_295279,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vUnOpT: vUnOpT] :
( visSomeAType(vsomeAType(vText))
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vunop(X0_vUnOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283332,c_304]) ).
tcf(c_295280,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vconstant(X0_vAval))),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283332,c_303]) ).
tcf(c_295282,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( visSomeAType(vsomeAType(vText))
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,vconstant(X0_vAval))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283332,c_306]) ).
tcf(c_295283,plain,
! [X0_vYN: vYN] :
( ( vsomeAType(vYesNo) = vsomeAType(vText) )
| ( vB(sK127(vB(X0_vYN))) = vB(X0_vYN) )
| ( vNum(sK128(vB(X0_vYN))) = vB(X0_vYN) ) ),
inference(superposition,[status(thm)],[c_283332,c_308]) ).
tcf(c_295284,plain,
! [X0_vAval: vAval] :
( ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_283332,c_282486]) ).
tcf(c_295285,plain,
! [X0_vAval: vAval] :
( ( vsomeAType(vYesNo) = vsomeAType(vText) )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_283332,c_282432]) ).
tcf(c_295286,plain,
! [X0_vAval: vAval] :
( ( vsomeAType(vNumber) = vsomeAType(vText) )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_283332,c_282382]) ).
tcf(c_295287,plain,
! [X0_vYN: vYN] : vB(sK127(vB(X0_vYN))) = vB(X0_vYN),
inference(forward_subsumption_resolution,[status(thm)],[c_295283,c_292250,c_69]) ).
tcf(c_295291,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_295285,c_292250]) ).
tcf(c_295353,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(global_subsumption_just,[status(thm)],[c_283333,c_64190,c_88837,c_254392]) ).
tcf(c_295363,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vB(vno) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290457,c_295353]) ).
tcf(c_295364,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vB(X0_vYN) = vB(vno) )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289185,c_295353]) ).
tcf(c_295365,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vB(vyes) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289503,c_295353]) ).
tcf(c_295366,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK127(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_295353]) ).
tcf(c_295400,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( vB(X0_vYN) = vB(X1_vYN) )
| ( sK127(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_280854,c_295287]) ).
tcf(c_295401,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( vB(X0_vYN) = vB(vno) )
| ( sK127(vB(X0_vYN)) = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_295287]) ).
tcf(c_295408,plain,
! [X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK127(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_261,c_295287]) ).
tcf(c_295410,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vno) )
| ( sK127(vB(X0_vYN)) = vyes ) ),
inference(superposition,[status(thm)],[c_295287,c_290457]) ).
tcf(c_295411,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vyes) )
| ( vB(sK127(vB(X0_vYN))) = vB(vno) ) ),
inference(superposition,[status(thm)],[c_295287,c_289185]) ).
tcf(c_295414,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vyes) )
| ( sK127(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_295287,c_289503]) ).
tcf(c_295415,plain,
! [X0_vYN: vYN] : sK104(vB(X0_vYN)) = sK127(vB(X0_vYN)),
inference(superposition,[status(thm)],[c_295287,c_289397]) ).
tcf(c_295417,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK127(vB(X0_vYN)) = sK104(X0_vAval) )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_295287,c_282437]) ).
tcf(c_295422,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK127(vB(X0_vYN)) = vno )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_295287,c_281075]) ).
tcf(c_295426,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( sK127(vB(X0_vYN)) = X1_vYN )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_295287,c_70]) ).
tcf(c_295428,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( sK127(vB(X1_vYN)) = X0_vYN )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_295287,c_70]) ).
tcf(c_295429,plain,
! [X0_vYN: vYN] : sK127(vB(X0_vYN)) = X0_vYN,
inference(light_normalisation,[status(thm)],[c_295415,c_289397]) ).
tcf(c_295641,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( sK127(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_280854,c_295429]) ).
tcf(c_295642,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( sK127(vB(X0_vYN)) = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_295429]) ).
tcf(c_295643,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vyes )
| ( sK127(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_290457,c_295429]) ).
tcf(c_295645,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vno )
| ( sK127(vB(X0_vYN)) = vyes ) ),
inference(superposition,[status(thm)],[c_289503,c_295429]) ).
tcf(c_295646,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vyes )
| ( sK127(vB(vno)) = X0_vYN ) ),
inference(superposition,[status(thm)],[c_290457,c_295429]) ).
tcf(c_295647,plain,
! [X0_vYN: vYN] :
( ( vB(X0_vYN) = vB(vno) )
| ( sK127(vB(vyes)) = X0_vYN ) ),
inference(superposition,[status(thm)],[c_289185,c_295429]) ).
tcf(c_295648,plain,
! [X0_vYN: vYN] :
( ( X0_vYN = vno )
| ( sK127(vB(vyes)) = X0_vYN ) ),
inference(superposition,[status(thm)],[c_289503,c_295429]) ).
tcf(c_295649,plain,
! [X0_vAval: vAval] :
( ( sK104(X0_vAval) = sK127(X0_vAval) )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_261,c_295429]) ).
tcf(c_295691,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(sK127(X1_vAval)) = X1_vAval )
| ( vNum(sK128(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_263,c_283334]) ).
tcf(c_295692,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X1_vAval)) = X1_vAval )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_259,c_283334]) ).
tcf(c_295693,plain,
! [X0_vnat: vnat] :
( ( vB(sK127(vNum(X0_vnat))) = vNum(X0_vnat) )
| ( vNum(sK128(vNum(X0_vnat))) = vNum(X0_vnat) ) ),
inference(equality_resolution,[status(thm)],[c_283334]) ).
tcf(c_295794,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X1_vAval)) = X1_vAval )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_283334]) ).
tcf(c_295795,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_282527]) ).
tcf(c_295796,plain,
! [X0_vAval: vAval] :
( ( sK105(X0_vAval) = sK128(X0_vAval) )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_289750]) ).
tcf(c_295797,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK105(X1_vAval) = sK128(X0_vAval) )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_282488]) ).
tcf(c_295798,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_282466]) ).
tcf(c_295799,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_282436]) ).
tcf(c_295800,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_282406]) ).
tcf(c_295801,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK105(X1_vAval) = sK128(X0_vAval) )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_282384]) ).
tcf(c_295802,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vB(sK104(X1_vAval)) = X1_vAval )
| ( vNum(sK105(X1_vAval)) = X1_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_282362]) ).
tcf(c_295803,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_283335,c_281521]) ).
tcf(c_295804,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_362]) ).
tcf(c_295807,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval] :
( ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vecheck(X0_vATMap,vconstant(X0_vAval)) = vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_283335,c_109]) ).
tcf(c_295809,plain,
! [X0_vAval: vAval,X0_vnat: vnat] :
( ( sK128(X0_vAval) = X0_vnat )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(X0_vnat) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_283335,c_134]) ).
tcf(c_295988,plain,
! [X0_vstring: vstring,X0_vAval: vAval] :
( ( sK129(X0_vAval) = X0_vstring )
| ( vT(X0_vstring) != X0_vAval ) ),
inference(global_subsumption_just,[status(thm)],[c_283336,c_64200,c_88840,c_137706,c_161066,c_254389]) ).
tcf(c_295995,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK129(X1_vAval) )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_264,c_295988]) ).
tcf(c_295996,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK129(X1_vAval) )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_262,c_295988]) ).
tcf(c_295997,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK129(X1_vAval) )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_260,c_295988]) ).
tcf(c_295998,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK106(X0_vAval) = sK129(X1_vAval) )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_258,c_295988]) ).
tcf(c_295999,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( sK129(X0_vAval) = sK129(X1_vAval) )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_365,c_295988]) ).
tcf(c_296000,plain,
! [X0_vstring: vstring] : sK129(vT(X0_vstring)) = X0_vstring,
inference(equality_resolution,[status(thm)],[c_295988]) ).
tcf(c_296042,plain,
! [X0_vAval: vAval] :
( ( sK106(X0_vAval) = sK129(X0_vAval) )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_264,c_296000]) ).
tcf(c_296043,plain,
! [X0_vAval: vAval] :
( ( sK106(X0_vAval) = sK129(X0_vAval) )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vNum(sK105(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_262,c_296000]) ).
tcf(c_296044,plain,
! [X0_vAval: vAval] :
( ( sK106(X0_vAval) = sK129(X0_vAval) )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_260,c_296000]) ).
tcf(c_296045,plain,
! [X0_vAval: vAval] :
( ( sK106(X0_vAval) = sK129(X0_vAval) )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_258,c_296000]) ).
tcf(c_296071,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vsomeAType(X0_vAType) = vsomeAType(vText) ) ),
inference(light_normalisation,[status(thm)],[c_283360,c_288467]) ).
tcf(c_296085,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X1_vATMap),vatmbind(X1_vQID,X1_vAType,X0_vATMap)))
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQID = X1_vQID )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_296071,c_283270]) ).
tcf(c_296086,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_296071,c_283198]) ).
tcf(c_296087,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vQID = X1_vQID )
| ( vatmbind(X0_vQID,X1_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_296071,c_283197]) ).
tcf(c_296089,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( sK146(X0_vOptAType) = X0_vAType )
| ( vsomeAType(vText) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_296071,c_282867]) ).
tcf(c_296090,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( sK122(X0_vOptAType) = X0_vAType )
| ( vsomeAType(vText) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_296071,c_282844]) ).
tcf(c_296091,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK122(vsomeAType(vText)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_296071,c_288656]) ).
tcf(c_296092,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK146(vsomeAType(vText)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_296071,c_288467]) ).
tcf(c_296093,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(vatmbind(X0_vQID,X0_vAType,X1_vATMap),X0_vATMap))
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_296071,c_361]) ).
tcf(c_296094,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_296071,c_358]) ).
tcf(c_296095,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap))
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vecheck(X0_vATMap,X0_vExp) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_296071,c_303]) ).
tcf(c_296097,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vsomeAType(vText) != vnoAType ) ),
inference(superposition,[status(thm)],[c_296071,c_297]) ).
tcf(c_296098,plain,
! [X0_vAType: vAType] :
( visSomeAType(vsomeAType(vText))
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(superposition,[status(thm)],[c_296071,c_400]) ).
tcf(c_296099,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( vatmbind(X0_vQID,X1_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_296071,c_283198]) ).
tcf(c_296100,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_296071,c_298]) ).
tcf(c_296103,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,X1_vAType,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,vText,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_296071,c_283198]) ).
tcf(c_296104,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,vText,X0_vATMap),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ~ vptcheck(vMC(vatmbind(X0_vQID,vText,X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,vText,X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_296071,c_282902]) ).
tcf(c_296105,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( sK146(X0_vOptAType) = vText )
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_296071,c_282867]) ).
tcf(c_296106,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( sK122(X0_vOptAType) = vText )
| ( vsomeAType(X0_vAType) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_296071,c_282844]) ).
tcf(c_296107,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK122(vsomeAType(X0_vAType)) = vText ) ),
inference(superposition,[status(thm)],[c_296071,c_288656]) ).
tcf(c_296108,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK146(vsomeAType(X0_vAType)) = vText ) ),
inference(superposition,[status(thm)],[c_296071,c_288467]) ).
tcf(c_296109,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vText )
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_296071,c_298]) ).
tcf(c_296112,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( vatmbind(X0_vQID,vText,X0_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,X1_vATMap)),vqsingle(vask(X0_vQID)),vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_296071,c_283198]) ).
tcf(c_296113,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vText )
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_296071,c_298]) ).
tcf(c_296114,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vsomeAType(X0_vAType) = vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_296071,c_296071]) ).
tcf(c_296263,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( vsomeAType(vText) = X0_vOptAType )
| ( sK146(X0_vOptAType) = vNumber )
| ( sK122(X0_vOptAType) = vYesNo ) ),
inference(superposition,[status(thm)],[c_283361,c_288644]) ).
tcf(c_296264,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( vsomeAType(vText) = X0_vOptAType )
| ( vsomeAType(vYesNo) = X0_vOptAType )
| ( sK146(X0_vOptAType) = vNumber ) ),
inference(superposition,[status(thm)],[c_283361,c_282055]) ).
tcf(c_296265,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( vsomeAType(X0_vAType) = vnoAType )
| ( vsomeAType(X0_vAType) = vsomeAType(vText) )
| ( sK146(vsomeAType(X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283361,c_288467]) ).
tcf(c_296274,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vsomeAType(X0_vAType) = vnoAType )
| ( vsomeAType(X0_vAType) = vsomeAType(vText) ) ),
inference(light_normalisation,[status(thm)],[c_296265,c_288467]) ).
tcf(c_296314,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( vsomeAType(vText) = X0_vOptAType )
| ( vsomeAType(vYesNo) = X0_vOptAType )
| ( sK122(X0_vOptAType) = vNumber ) ),
inference(superposition,[status(thm)],[c_283362,c_299]) ).
tcf(c_296315,plain,
! [X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( vsomeAType(X0_vAType) = vnoAType )
| ( vsomeAType(X0_vAType) = vsomeAType(vText) )
| ( sK122(vsomeAType(X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283362,c_288656]) ).
tcf(c_296340,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vqmbind(sK50(X0_vQMap),sK119(X0_vQMap),vText,sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_290912,c_283363]) ).
tcf(c_296341,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK118(X0_vQMap),sK51(X0_vQMap),vText,sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_291671,c_283363]) ).
tcf(c_296342,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vqmbind(sK118(X0_vQMap),sK51(X0_vQMap),vText,sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_291550,c_283363]) ).
tcf(c_296343,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vqmbind(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,vText,sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291609,c_283363]) ).
tcf(c_296344,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),X0_vAType,sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_368,c_283363]) ).
tcf(c_296345,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),vText,sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_291921,c_283363]) ).
tcf(c_296346,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),vText,sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_291798,c_283363]) ).
tcf(c_296347,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vqmbind(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vText,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291876,c_283363]) ).
tcf(c_296348,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = sK121(X1_vQMap) )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282827]) ).
tcf(c_296349,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK53(X0_vQMap) = sK121(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283363,c_291762]) ).
tcf(c_296350,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK53(X1_vQMap) = sK121(X0_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282826]) ).
tcf(c_296351,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK53(X1_vQMap) = sK121(X0_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282825]) ).
tcf(c_296352,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK120(X1_vQMap) = vText )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282807]) ).
tcf(c_296354,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK52(X1_vQMap) = vText )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282806]) ).
tcf(c_296355,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK52(X1_vQMap) = vText )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282805]) ).
tcf(c_296356,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK119(X0_vQMap) = sK119(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282776]) ).
tcf(c_296357,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK51(X0_vQMap) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283363,c_291508]) ).
tcf(c_296358,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK51(X1_vQMap) = sK119(X0_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282775]) ).
tcf(c_296359,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK51(X1_vQMap) = sK119(X0_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282774]) ).
tcf(c_296360,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK118(X0_vQMap) = sK118(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282756]) ).
tcf(c_296361,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK118(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283363,c_291342]) ).
tcf(c_296362,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK50(X1_vQMap) = sK118(X0_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282755]) ).
tcf(c_296363,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK50(X1_vQMap) = sK118(X0_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_282754]) ).
tcf(c_296372,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,sK121(X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283363,c_284]) ).
tcf(c_296373,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK121(X1_vQMap) = X0_vQMap )
| ( sK120(X1_vQMap) = vYesNo )
| ( sK120(X1_vQMap) = vNumber )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_289]) ).
tcf(c_296374,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vAType = vText )
| ( sK120(X1_vQMap) = vYesNo )
| ( sK120(X1_vQMap) = vNumber )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_288]) ).
tcf(c_296375,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK120(X1_vQMap) = vYesNo )
| ( sK120(X1_vQMap) = vNumber )
| ( sK119(X1_vQMap) = X0_vLabel )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_287]) ).
tcf(c_296376,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK120(X1_vQMap) = vYesNo )
| ( sK120(X1_vQMap) = vNumber )
| ( sK118(X1_vQMap) = X0_vQID )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283363,c_286]) ).
tcf(c_296514,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = vYesNo )
| ( sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = vNumber )
| ( vqmbind(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,vText,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_296347,c_290921,c_291008,c_291609]) ).
tcf(c_296515,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = vYesNo )
| ( sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = vNumber )
| ( vqmbind(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vLabel,vText,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_296514,c_281]) ).
tcf(c_296604,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = vYesNo )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = vNumber )
| ( vatmbind(X0_vQID,vText,sK103(vatmbind(X0_vQID,X0_vAType,X0_vATMap))) = vatmbind(X0_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_288742,c_283366]) ).
tcf(c_296605,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vYesNo )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vNumber )
| ( vatmbind(X0_vQID,vText,sK103(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_288861,c_283366]) ).
tcf(c_296606,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber )
| ( vatmbind(sK118(X0_vQMap),vText,sK103(vtypeQM(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290623,c_283366]) ).
tcf(c_296607,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber )
| ( vatmbind(sK50(X0_vQMap),vText,sK103(vtypeQM(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_288862,c_283366]) ).
tcf(c_296609,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK47(X0_vAnsMap),vText,sK103(vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_288998,c_283366]) ).
tcf(c_296610,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK89(X0_vAnsMap),vText,sK103(vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289000,c_283366]) ).
tcf(c_296612,plain,
! [X0_vATMap: vATMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( vatmbind(sK101(X0_vATMap),X0_vAType,sK103(X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_368,c_283366]) ).
tcf(c_296613,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = vYesNo )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = vNumber )
| ( vatmbind(sK101(vatmbind(X0_vQID,X0_vAType,X0_vATMap)),vText,X0_vATMap) = vatmbind(X0_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_288672,c_283366]) ).
tcf(c_296614,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vYesNo )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vNumber )
| ( vatmbind(sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),vText,vtypeAM(X0_vAnsMap)) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_288751,c_283366]) ).
tcf(c_296615,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber )
| ( vatmbind(sK101(vtypeQM(X0_vQMap)),vText,vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290625,c_283366]) ).
tcf(c_296616,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber )
| ( vatmbind(sK101(vtypeQM(X0_vQMap)),vText,vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_288753,c_283366]) ).
tcf(c_296617,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK101(vtypeAM(X0_vAnsMap)),vText,vtypeAM(sK91(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289105,c_283366]) ).
tcf(c_296618,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK101(vtypeAM(X0_vAnsMap)),vText,vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289104,c_283366]) ).
tcf(c_296619,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( vtypeAM(X0_vAnsMap) = sK103(X0_vATMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282150]) ).
tcf(c_296620,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282131]) ).
tcf(c_296621,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282112]) ).
tcf(c_296622,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(sK101(X0_vATMap),vText,sK103(X0_vATMap)),X1_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK101(X0_vATMap)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(sK101(X0_vATMap),vText,sK103(X0_vATMap))),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283366,c_282954]) ).
tcf(c_296623,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(sK101(X0_vATMap),vText,sK103(X0_vATMap)),X1_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(sK101(X0_vATMap),vText,sK103(X0_vATMap))),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X1_vQID)) != vnoAType )
| ( vecheck(sK103(X0_vATMap),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_283366,c_282953]) ).
tcf(c_296624,plain,
! [X0_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vText )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber ) ),
inference(superposition,[status(thm)],[c_283366,c_288725]) ).
tcf(c_296625,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( sK101(X0_vATMap) = sK101(X1_vATMap) )
| ( X0_vATMap != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282326]) ).
tcf(c_296626,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( X0_vATMap = vatmempty )
| ( sK102(X1_vATMap) = vText )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( X0_vATMap != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282325]) ).
tcf(c_296627,plain,
! [X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( X0_vATMap = vatmempty )
| ( sK103(X0_vATMap) = sK103(X1_vATMap) )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( X0_vATMap != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282324]) ).
tcf(c_296628,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( vtypeQM(sK53(X0_vQMap)) = sK103(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282152]) ).
tcf(c_296629,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = sK103(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282151]) ).
tcf(c_296630,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( sK52(X0_vQMap) = vText )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282133]) ).
tcf(c_296631,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( sK52(X0_vQMap) = vText )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282132]) ).
tcf(c_296632,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( sK50(X0_vQMap) = sK101(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282114]) ).
tcf(c_296633,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( sK50(X0_vQMap) = sK101(X0_vATMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_282113]) ).
tcf(c_296637,plain,
! [X0_vATMap: vATMap] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( vecheck(X0_vATMap,vqvar(sK101(X0_vATMap))) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_283366,c_240]) ).
tcf(c_296638,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vYesNo )
| ( sK102(X0_vATMap) = vNumber )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(sK103(X0_vATMap),vqvar(X0_vQID)) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_283366,c_239]) ).
tcf(c_296640,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( sK103(X1_vATMap) = X0_vATMap )
| ( sK102(X1_vATMap) = vYesNo )
| ( sK102(X1_vATMap) = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_243]) ).
tcf(c_296641,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( X0_vAType = vText )
| ( sK102(X1_vATMap) = vYesNo )
| ( sK102(X1_vATMap) = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_242]) ).
tcf(c_296642,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( ( X1_vATMap = vatmempty )
| ( sK102(X1_vATMap) = vYesNo )
| ( sK102(X1_vATMap) = vNumber )
| ( sK101(X1_vATMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != X1_vATMap ) ),
inference(superposition,[status(thm)],[c_283366,c_241]) ).
tcf(c_296784,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmbind(X0_vQID,vText,X0_vATMap) ) ),
inference(light_normalisation,[status(thm)],[c_296613,c_288725,c_288742]) ).
tcf(c_296785,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) = vatmbind(X0_vQID,vText,X0_vATMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_296784,c_256]) ).
tcf(c_296791,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) ) ),
inference(light_normalisation,[status(thm)],[c_296605,c_288751,c_288850]) ).
tcf(c_296870,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,vText,vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_283374]) ).
tcf(c_296871,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_368,c_283374]) ).
tcf(c_296872,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vatmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vText,vtypeQM(X0_vQMap)) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291762,c_283374]) ).
tcf(c_296874,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283374,c_282131]) ).
tcf(c_296876,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK50(X0_vQMap)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283374,c_282954]) ).
tcf(c_296877,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) != vnoAType )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_283374,c_282953]) ).
tcf(c_296879,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = vText ) ),
inference(superposition,[status(thm)],[c_283374,c_288725]) ).
tcf(c_296881,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vATMap = vatmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK101(X0_vATMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283374,c_282326]) ).
tcf(c_296882,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283374,c_282325]) ).
tcf(c_296883,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vATMap = vatmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = sK103(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283374,c_282324]) ).
tcf(c_296884,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeQM(sK53(X1_vQMap)) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283374,c_282152]) ).
tcf(c_296886,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283374,c_282133]) ).
tcf(c_296887,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( sK52(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283374,c_282132]) ).
tcf(c_296888,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283374,c_282114]) ).
tcf(c_296893,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(X0_vQMap))) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_283374,c_240]) ).
tcf(c_296897,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283374,c_242]) ).
tcf(c_296965,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmbind(X0_vQID,vText,vtypeQM(X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_296872,c_93,c_291342,c_291634]) ).
tcf(c_296966,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmbind(X0_vQID,vText,vtypeQM(X0_vQMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_296965,c_256]) ).
tcf(c_296970,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vatmbind(X0_vQID,vText,sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_296870,c_93,c_289840,c_291634]) ).
tcf(c_296971,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,vText,sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_296970,c_256]) ).
tcf(c_297041,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vqmbind(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vText,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291342,c_283375]) ).
tcf(c_297042,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,vText,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291508,c_283375]) ).
tcf(c_297043,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),X0_vAType,sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_368,c_283375]) ).
tcf(c_297044,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vText,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291762,c_283375]) ).
tcf(c_297045,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = sK121(X0_vQMap) )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_283375,c_291876]) ).
tcf(c_297046,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK121(X1_vQMap) )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282827]) ).
tcf(c_297047,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK53(X1_vQMap) )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282826]) ).
tcf(c_297048,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( sK53(X0_vQMap) = sK53(X1_vQMap) )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282825]) ).
tcf(c_297049,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK120(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282807]) ).
tcf(c_297050,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_283375,c_291634]) ).
tcf(c_297052,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282806]) ).
tcf(c_297053,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( sK52(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282805]) ).
tcf(c_297054,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK51(X0_vQMap) = sK119(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282776]) ).
tcf(c_297055,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK51(X0_vQMap) = sK51(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282775]) ).
tcf(c_297057,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK118(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282756]) ).
tcf(c_297058,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_282755]) ).
tcf(c_297069,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( sK53(X1_vQMap) = X0_vQMap )
| ( sK52(X1_vQMap) = vYesNo )
| ( sK52(X1_vQMap) = vNumber )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_289]) ).
tcf(c_297070,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X0_vAType = vText )
| ( sK52(X1_vQMap) = vYesNo )
| ( sK52(X1_vQMap) = vNumber )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283375,c_288]) ).
tcf(c_297157,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,vText,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_297044,c_93,c_291342,c_291508,c_291634]) ).
tcf(c_297158,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,vText,X0_vQMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_297157,c_256]) ).
tcf(c_297191,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vatmbind(X0_vQID,vText,vtypeQM(sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_283376]) ).
tcf(c_297192,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vatmbind(sK50(X0_vQMap),X0_vAType,vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_368,c_283376]) ).
tcf(c_297193,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vatmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vText,vtypeQM(X0_vQMap)) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291762,c_283376]) ).
tcf(c_297194,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeAM(X0_vAnsMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_282150]) ).
tcf(c_297195,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_282131]) ).
tcf(c_297196,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_282112]) ).
tcf(c_297197,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vptcheck(vMC(vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(sK50(X0_vQMap)))),vMC(vatmbind(X0_vQID,X0_vAType,vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283376,c_282954]) ).
tcf(c_297198,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( vptcheck(vMC(vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vvalue(X1_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X1_vQID,X0_vAType,vatmbind(sK50(X0_vQMap),vText,vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X1_vQID)) != vnoAType )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_283376,c_282953]) ).
tcf(c_297199,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK101(vtypeQM(X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_288742]) ).
tcf(c_297200,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK102(vtypeQM(X0_vQMap)) = vText ) ),
inference(superposition,[status(thm)],[c_283376,c_288725]) ).
tcf(c_297201,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(sK53(X0_vQMap)) = sK103(vtypeQM(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_283376,c_288672]) ).
tcf(c_297202,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK101(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283376,c_282326]) ).
tcf(c_297203,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283376,c_282325]) ).
tcf(c_297204,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vATMap = vatmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(sK53(X0_vQMap)) = sK103(X0_vATMap) )
| ( vtypeQM(X0_vQMap) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283376,c_282324]) ).
tcf(c_297205,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeQM(sK53(X1_vQMap)) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_282152]) ).
tcf(c_297206,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeQM(sK53(X1_vQMap)) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_282151]) ).
tcf(c_297207,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_282133]) ).
tcf(c_297208,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_282132]) ).
tcf(c_297209,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_282114]) ).
tcf(c_297210,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( vtypeQM(X0_vQMap) != vtypeQM(X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_282113]) ).
tcf(c_297214,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(sK50(X0_vQMap))) = vsomeAType(vText) ) ),
inference(superposition,[status(thm)],[c_283376,c_240]) ).
tcf(c_297215,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_283376,c_239]) ).
tcf(c_297216,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) != vatmempty ) ),
inference(superposition,[status(thm)],[c_283376,c_256]) ).
tcf(c_297217,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(sK53(X0_vQMap)) = X0_vATMap )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_243]) ).
tcf(c_297218,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_242]) ).
tcf(c_297219,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vatmbind(X0_vQID,X0_vAType,X0_vATMap) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283376,c_241]) ).
tcf(c_297335,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmbind(X0_vQID,vText,vtypeQM(X0_vQMap)) )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty ) ),
inference(light_normalisation,[status(thm)],[c_297193,c_93,c_291342,c_291634]) ).
tcf(c_297337,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(X0_vQID,vText,sK103(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_297191,c_93,c_289840,c_291634]) ).
tcf(c_297420,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vqmbind(X0_vQID,sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vText,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291342,c_283377]) ).
tcf(c_297421,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vLabel,vText,sK53(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291508,c_283377]) ).
tcf(c_297422,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),X0_vAType,sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_368,c_283377]) ).
tcf(c_297423,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vqmbind(sK50(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vText,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_291762,c_283377]) ).
tcf(c_297425,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK121(X1_vQMap) )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282827]) ).
tcf(c_297426,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK53(X1_vQMap) )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282826]) ).
tcf(c_297427,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = sK53(X1_vQMap) )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282825]) ).
tcf(c_297428,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK120(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282807]) ).
tcf(c_297429,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber ) ),
inference(superposition,[status(thm)],[c_283377,c_291634]) ).
tcf(c_297430,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK51(X0_vQMap) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283377,c_291609]) ).
tcf(c_297431,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282806]) ).
tcf(c_297432,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X1_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282805]) ).
tcf(c_297433,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK51(X0_vQMap) = sK119(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282776]) ).
tcf(c_297434,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK51(X0_vQMap) = sK51(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282775]) ).
tcf(c_297435,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK51(X0_vQMap) = sK51(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282774]) ).
tcf(c_297436,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK118(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282756]) ).
tcf(c_297437,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282755]) ).
tcf(c_297438,plain,
! [X0_vQMap: vQMap,X1_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK50(X1_vQMap) )
| ( vtypeQM(X1_vQMap) = vatmempty )
| ( X0_vQMap != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_282754]) ).
tcf(c_297447,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,sK53(X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283377,c_284]) ).
tcf(c_297448,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK53(X1_vQMap) = X0_vQMap )
| ( sK52(X1_vQMap) = vYesNo )
| ( sK52(X1_vQMap) = vNumber )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_289]) ).
tcf(c_297449,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( X0_vAType = vText )
| ( sK52(X1_vQMap) = vYesNo )
| ( sK52(X1_vQMap) = vNumber )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_288]) ).
tcf(c_297450,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X1_vQMap) = vYesNo )
| ( sK52(X1_vQMap) = vNumber )
| ( sK51(X1_vQMap) = X0_vLabel )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_287]) ).
tcf(c_297451,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQMap: vQMap] :
( ( X1_vQMap = vqmempty )
| ( sK52(X1_vQMap) = vYesNo )
| ( sK52(X1_vQMap) = vNumber )
| ( sK50(X1_vQMap) = X0_vQID )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) != X1_vQMap ) ),
inference(superposition,[status(thm)],[c_283377,c_286]) ).
tcf(c_297563,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,vText,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_297423,c_291342,c_291508,c_291634]) ).
tcf(c_297647,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( vtypeQM(sK53(sK121(X0_vQMap))) = sK103(vtypeQM(sK53(X0_vQMap))) ) ),
inference(superposition,[status(thm)],[c_292233,c_288752]) ).
tcf(c_297648,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber )
| ( vatmbind(sK101(vtypeQM(X0_vQMap)),vText,vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_288752,c_283366]) ).
tcf(c_297649,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK101(vtypeQM(X0_vQMap)) = X0_vQID )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_288752,c_282322]) ).
tcf(c_297650,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK101(vtypeQM(X0_vQMap)),sK102(vtypeQM(X0_vQMap)),vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_288752,c_257]) ).
tcf(c_297651,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeQM(sK53(X0_vQMap)) = vtypeQM(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_288752,c_290625]) ).
tcf(c_297681,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(X0_vAnsMap)) = vYesNo )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK89(X0_vAnsMap),vText,vtypeAM(sK91(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_238,c_283378]) ).
tcf(c_297682,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeOf(sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283378,c_289135]) ).
tcf(c_297683,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283378,c_289134]) ).
tcf(c_297684,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(sK91(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283378,c_289105]) ).
tcf(c_297685,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283378,c_289104]) ).
tcf(c_297686,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_283378,c_288998]) ).
tcf(c_297687,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = sK89(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_283378,c_289000]) ).
tcf(c_297688,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_283378,c_288999]) ).
tcf(c_297689,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmempty ) ),
inference(superposition,[status(thm)],[c_283378,c_282350]) ).
tcf(c_297690,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vText,vtypeAM(X0_vAnsMap))) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283378,c_87]) ).
tcf(c_297691,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = vtypeOf(X0_vAval) ) ),
inference(superposition,[status(thm)],[c_283378,c_288850]) ).
tcf(c_297692,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283378,c_288751]) ).
tcf(c_297693,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_283378,c_288861]) ).
tcf(c_297694,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeAM(X0_vAnsMap) = X0_vATMap )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_283378,c_282150]) ).
tcf(c_297695,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = X0_vAType )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_283378,c_282131]) ).
tcf(c_297696,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_283378,c_282112]) ).
tcf(c_297697,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)),vqvar(X1_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_283378,c_282083]) ).
tcf(c_297698,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vecheck(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(vtypeOf(X0_vAval)) ) ),
inference(superposition,[status(thm)],[c_283378,c_282095]) ).
tcf(c_297699,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) != vatmempty ) ),
inference(superposition,[status(thm)],[c_283378,c_281715]) ).
tcf(c_297700,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeOf(sK48(X0_vAnsMap)) = vYesNo )
| ( vtypeOf(sK48(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK47(X0_vAnsMap),vText,vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283378,c_3396]) ).
tcf(c_297701,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK48(X0_vAnsMap)) = vYesNo )
| ( vtypeOf(sK48(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK47(X0_vAnsMap),vText,vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283378,c_3355]) ).
tcf(c_297704,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty) = vatmbind(X0_vQID,vText,vtypeAM(vaempty)) ) ),
inference(superposition,[status(thm)],[c_283378,c_281097]) ).
tcf(c_297708,plain,
! [X0_vAval: vAval,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmempty) = vatmbind(X0_vQID,vText,vatmempty) ) ),
inference(light_normalisation,[status(thm)],[c_297704,c_88]) ).
tcf(c_297746,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = X0_vQID ) ),
inference(light_normalisation,[status(thm)],[c_297688,c_286830]) ).
tcf(c_297748,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( sK101(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = X0_vQID ) ),
inference(light_normalisation,[status(thm)],[c_297686,c_286830]) ).
tcf(c_297749,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(light_normalisation,[status(thm)],[c_297685,c_286955]) ).
tcf(c_297751,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = vtypeOf(X0_vAval) ) ),
inference(light_normalisation,[status(thm)],[c_297683,c_286903]) ).
tcf(c_297857,plain,
! [X0_vAType: vAType,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( ( X3_vAType = vYesNo )
| ( X3_vAType = vNumber )
| ( X2_vAType = vYesNo )
| ( X2_vAType = vNumber )
| ( X1_vAType = vNumber )
| ( X1_vAType = X2_vAType )
| ( X0_vAType = vNumber )
| ( X0_vAType = X3_vAType )
| ( X0_vAType = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_283379]) ).
tcf(c_297858,plain,
! [X0_vAType: vAType,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( ( X3_vAType = vYesNo )
| ( X3_vAType = vNumber )
| ( X2_vAType = vYesNo )
| ( X2_vAType = vNumber )
| ( X1_vAType = vNumber )
| ( X1_vAType = X3_vAType )
| ( X0_vAType = vNumber )
| ( X0_vAType = X2_vAType )
| ( X0_vAType = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_283379]) ).
tcf(c_297864,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vAnsMap = vaempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( sK102(vtypeAM(X0_vAnsMap)) = X0_vAType )
| ( vtypeOf(sK90(X0_vAnsMap)) = vYesNo ) ),
inference(superposition,[status(thm)],[c_283379,c_289135]) ).
tcf(c_297865,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vAnsMap = vaempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( sK102(vtypeAM(X0_vAnsMap)) = X0_vAType )
| ( vtypeOf(sK48(X0_vAnsMap)) = vYesNo ) ),
inference(superposition,[status(thm)],[c_283379,c_289134]) ).
tcf(c_297866,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber )
| ( sK102(vtypeQM(X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_290624]) ).
tcf(c_297867,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vYesNo )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber )
| ( sK102(vtypeQM(X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_288851]) ).
tcf(c_297868,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber )
| ( sK102(vtypeQM(X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_288852]) ).
tcf(c_297869,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vNumber )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_288850]) ).
tcf(c_297870,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK90(X0_vAnsMap)) = X0_vAType )
| ( vtypeOf(sK48(X0_vAnsMap)) = vYesNo ) ),
inference(superposition,[status(thm)],[c_283379,c_290385]) ).
tcf(c_297871,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = vNumber )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_288725]) ).
tcf(c_297872,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_291634]) ).
tcf(c_297873,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( sK122(vsomeAType(X0_vAType)) = vNumber )
| ( sK122(vsomeAType(X0_vAType)) = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_288656]) ).
tcf(c_297874,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( sK146(vsomeAType(X0_vAType)) = vNumber )
| ( sK146(vsomeAType(X0_vAType)) = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_288467]) ).
tcf(c_297875,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( sK146(X0_vOptAType) = vNumber )
| ( sK146(X0_vOptAType) = X0_vAType )
| ( sK122(X0_vOptAType) = vYesNo ) ),
inference(superposition,[status(thm)],[c_283379,c_288644]) ).
tcf(c_297876,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(vYesNo) = X0_vOptAType )
| ( sK146(X0_vOptAType) = vNumber )
| ( sK146(X0_vOptAType) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_282055]) ).
tcf(c_297877,plain,
! [X0_vEntry: vEntry,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK138(X0_vEntry) = vNumber )
| ( sK138(X0_vEntry) = X0_vAType )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vYesNo) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283379,c_389]) ).
tcf(c_297878,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK135(X0_vOptQuestion) = X0_vAType )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK134(X0_vOptQuestion),vYesNo) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_377]) ).
tcf(c_297879,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( vsomeAType(vYesNo) = X0_vOptAType )
| ( sK122(X0_vOptAType) = vNumber )
| ( sK122(X0_vOptAType) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_299]) ).
tcf(c_297880,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vNumber )
| ( sK120(X0_vQMap) = X0_vAType )
| ( vsomeQuestion(sK118(X0_vQMap),sK119(X0_vQMap),vYesNo) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_282739]) ).
tcf(c_297881,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vNumber )
| ( sK120(X0_vQMap) = X0_vAType )
| ( sK52(X0_vQMap) = vYesNo ) ),
inference(superposition,[status(thm)],[c_283379,c_290998]) ).
tcf(c_297882,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vNumber )
| ( sK120(X0_vQMap) = X0_vAType )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),vYesNo)),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_283379,c_282687]) ).
tcf(c_297883,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vNumber )
| ( sK120(X0_vQMap) = X0_vAType )
| ( vatmbind(sK118(X0_vQMap),vYesNo,vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_282682]) ).
tcf(c_297884,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vNumber )
| ( sK120(X0_vQMap) = X0_vAType )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),vYesNo,sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_283379,c_282]) ).
tcf(c_297886,plain,
! [X0_vstring: vstring,X0_vAType: vAType] :
( ( vYesNo = vText )
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(vT(X0_vstring)) = vNumber )
| ( vtypeOf(vT(X0_vstring)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_266]) ).
tcf(c_297895,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( vNumber = vText )
| ( X1_vAType = vText )
| ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_368]) ).
tcf(c_297898,plain,
! [X0_vATMap: vATMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vATMap = vatmempty )
| ( sK102(X0_vATMap) = vNumber )
| ( sK102(X0_vATMap) = X0_vAType )
| ( vatmbind(sK101(X0_vATMap),vYesNo,sK103(X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_283379,c_257]) ).
tcf(c_297906,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vsomeQuestion(sK50(X0_vQMap),sK51(X0_vQMap),vYesNo) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_282738]) ).
tcf(c_297907,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(sK50(X0_vQMap),sK51(X0_vQMap),vYesNo) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_282737]) ).
tcf(c_297908,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),vYesNo)),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_283379,c_282686]) ).
tcf(c_297909,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),vYesNo)),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_283379,c_282685]) ).
tcf(c_297910,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),vYesNo,vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_92]) ).
tcf(c_297911,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),vYesNo,sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_283379,c_91]) ).
tcf(c_297912,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vatmbind(sK50(X0_vQMap),vYesNo,vtypeQM(sK53(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_90]) ).
tcf(c_297913,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vqmbind(sK50(X0_vQMap),sK51(X0_vQMap),vYesNo,sK53(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_283379,c_89]) ).
tcf(c_297914,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = X0_vAType )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_283379,c_87]) ).
tcf(c_297915,plain,
! [X0_vAType: vAType,X1_vAType: vAType,X2_vAType: vAType,X3_vAType: vAType] :
( ( X3_vAType = vYesNo )
| ( X3_vAType = vNumber )
| ( X2_vAType = vNumber )
| ( X2_vAType = X3_vAType )
| ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vNumber )
| ( X0_vAType = X2_vAType )
| ( X0_vAType = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_283379]) ).
tcf(c_297917,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vAType: vAType,X2_vATMap: vATMap,X2_vAType: vAType,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( X2_vAType = vYesNo )
| ( X2_vAType = vNumber )
| ( X1_vAType = vNumber )
| ( X1_vAType = X2_vAType )
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
inference(superposition,[status(thm)],[c_283379,c_282902]) ).
tcf(c_297918,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) ) ),
inference(superposition,[status(thm)],[c_283379,c_292043]) ).
tcf(c_297919,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( vcheckBinOp(vorop,X0_vAType,X0_vAType) = vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_283379,c_340]) ).
tcf(c_297920,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( vcheckBinOp(vandop,X0_vAType,X0_vAType) = vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_283379,c_316]) ).
tcf(c_297990,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vAnsMap = vaempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK90(X0_vAnsMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_289135]) ).
tcf(c_297991,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vAnsMap = vaempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK48(X0_vAnsMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_289134]) ).
tcf(c_297992,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = X0_vAType )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_290624]) ).
tcf(c_297993,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_288851]) ).
tcf(c_297994,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = X0_vAType )
| ( sK102(vtypeQM(X0_vQMap)) = vYesNo )
| ( sK102(vtypeQM(X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_288852]) ).
tcf(c_297995,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(X0_vAval) = X0_vAType )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vYesNo )
| ( sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_288850]) ).
tcf(c_297996,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(X0_vAnsMap)) = vYesNo )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK48(X0_vAnsMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_290385]) ).
tcf(c_297997,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = vYesNo )
| ( sK102(vatmbind(X0_vQID,X0_vAType,X0_vATMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_288725]) ).
tcf(c_297998,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_291634]) ).
tcf(c_297999,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( sK122(vsomeAType(X0_vAType)) = vYesNo )
| ( sK122(vsomeAType(X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_288656]) ).
tcf(c_298000,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( sK146(vsomeAType(X0_vAType)) = vYesNo )
| ( sK146(vsomeAType(X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_288467]) ).
tcf(c_298002,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( sK146(X0_vOptAType) = vYesNo )
| ( sK146(X0_vOptAType) = vNumber )
| ( sK122(X0_vOptAType) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_288644]) ).
tcf(c_298003,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( sK146(X0_vOptAType) = vYesNo )
| ( sK146(X0_vOptAType) = vNumber )
| ( vsomeAType(X0_vAType) = X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_283379,c_282055]) ).
tcf(c_298004,plain,
! [X0_vEntry: vEntry,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),X0_vAType) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283379,c_389]) ).
tcf(c_298005,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK134(X0_vOptQuestion),X0_vAType) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_377]) ).
tcf(c_298007,plain,
! [X0_vOptAType: vOptAType,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptAType = vnoAType )
| ( sK122(X0_vOptAType) = vYesNo )
| ( sK122(X0_vOptAType) = vNumber )
| ( vsomeAType(X0_vAType) = X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_283379,c_299]) ).
tcf(c_298008,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vsomeQuestion(sK118(X0_vQMap),sK119(X0_vQMap),X0_vAType) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_282739]) ).
tcf(c_298009,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_290998]) ).
tcf(c_298010,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),X0_vAType)),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_283379,c_282687]) ).
tcf(c_298011,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vatmbind(sK118(X0_vQMap),X0_vAType,vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_282682]) ).
tcf(c_298049,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vsomeQuestion(sK50(X0_vQMap),sK51(X0_vQMap),X0_vAType) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_282738]) ).
tcf(c_298050,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(sK50(X0_vQMap),sK51(X0_vQMap),X0_vAType) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_282737]) ).
tcf(c_298051,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),X0_vAType)),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_283379,c_282686]) ).
tcf(c_298052,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),X0_vAType)),X0_vAnsMap,sK53(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_283379,c_282685]) ).
tcf(c_298057,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,vtypeAM(X0_vAnsMap)) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_283379,c_87]) ).
tcf(c_298091,plain,
! [X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vText )
| ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_297895,c_366]) ).
tcf(c_298097,plain,
! [X0_vAType: vAType] :
( ( vYesNo = vText )
| ( vNumber = vText )
| ( X0_vAType = vText )
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(light_normalisation,[status(thm)],[c_297886,c_266]) ).
tcf(c_298241,plain,
! [X0_vAval: vAval,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = X0_vAType ) ),
inference(light_normalisation,[status(thm)],[c_297995,c_288850]) ).
tcf(c_298574,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK132(X0_vOptQuestion) = vYesNo )
| ( sK132(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK131(X0_vOptQuestion),vText) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_368,c_283429]) ).
tcf(c_298575,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK132(X0_vOptQuestion) = vYesNo )
| ( sK132(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK131(X0_vOptQuestion),X0_vAType) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_283429]) ).
tcf(c_298576,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK132(X0_vOptQuestion) = vNumber )
| ( sK132(X0_vOptQuestion) = X0_vAType )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK131(X0_vOptQuestion),vYesNo) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_283429]) ).
tcf(c_298582,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK132(X0_vOptQuestion) = X0_vAType )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283429,c_373]) ).
tcf(c_298583,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK131(X0_vOptQuestion) = X0_vLabel )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283429,c_372]) ).
tcf(c_298584,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK130(X0_vOptQuestion) = X0_vQID )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283429,c_371]) ).
tcf(c_298652,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283378,c_289103]) ).
tcf(c_298654,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vatmempty )
| ( vtypeAM(sK49(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3396,c_289103]) ).
tcf(c_298655,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vatmempty )
| ( vtypeAM(sK49(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK103(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3355,c_289103]) ).
tcf(c_298660,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK91(X0_vAnsMap)) = vatmempty )
| ( vtypeAM(sK49(sK91(X0_vAnsMap))) = sK103(vtypeAM(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_290222,c_289103]) ).
tcf(c_298661,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK101(vtypeAM(X0_vAnsMap)),vText,vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289103,c_283366]) ).
tcf(c_298662,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK101(vtypeAM(X0_vAnsMap)) = X0_vQID )
| ( vecheck(vtypeAM(sK49(X0_vAnsMap)),vqvar(X0_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_289103,c_282322]) ).
tcf(c_298663,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK101(vtypeAM(X0_vAnsMap)),sK102(vtypeAM(X0_vAnsMap)),vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289103,c_257]) ).
tcf(c_298664,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289103,c_288751]) ).
tcf(c_298665,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(sK49(X0_vAnsMap)) = vtypeAM(sK91(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_289103,c_289105]) ).
tcf(c_298684,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( sK103(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(light_normalisation,[status(thm)],[c_298652,c_286955]) ).
tcf(c_298695,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vYesNo )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber )
| ( vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),vText) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_368,c_283430]) ).
tcf(c_298696,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vYesNo )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber )
| ( vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X1_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_283379,c_283430]) ).
tcf(c_298697,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X1_vAType )
| ( vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),vYesNo) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_283379,c_283430]) ).
tcf(c_298702,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X1_vAType )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(superposition,[status(thm)],[c_283430,c_373]) ).
tcf(c_298703,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X1_vLabel )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(superposition,[status(thm)],[c_283430,c_372]) ).
tcf(c_298704,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X1_vQID )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(superposition,[status(thm)],[c_283430,c_371]) ).
tcf(c_298707,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( sK132(vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType)) = X0_vAType )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(superposition,[status(thm)],[c_283430,c_373]) ).
tcf(c_298708,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( sK131(vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType)) = X0_vLabel )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(superposition,[status(thm)],[c_283430,c_372]) ).
tcf(c_298709,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( ( sK130(vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType)) = X0_vQID )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vsomeQuestion(X1_vQID,X1_vLabel,X1_vAType) ) ),
inference(superposition,[status(thm)],[c_283430,c_371]) ).
tcf(c_298760,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK131(X0_vOptQuestion),sK132(X0_vOptQuestion)) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283462,c_283430]) ).
tcf(c_298766,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283462,c_373]) ).
tcf(c_298767,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK134(X0_vOptQuestion) = X0_vLabel )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283462,c_372]) ).
tcf(c_298768,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK133(X0_vOptQuestion) = X0_vQID )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283462,c_371]) ).
tcf(c_298794,plain,
! [X0_vOptQuestion: vOptQuestion,X1_vOptQuestion: vOptQuestion] :
( ( X1_vOptQuestion = vnoQuestion )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK132(X0_vOptQuestion) = sK135(X1_vOptQuestion) )
| ( X0_vOptQuestion != X1_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283429,c_283468]) ).
tcf(c_298795,plain,
! [X0_vOptQuestion: vOptQuestion,X1_vOptQuestion: vOptQuestion] :
( ( X1_vOptQuestion = vnoQuestion )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = sK135(X1_vOptQuestion) )
| ( X0_vOptQuestion != X1_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_377,c_283468]) ).
tcf(c_298796,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = sK135(X0_vOptQuestion) )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283430,c_283468]) ).
tcf(c_298797,plain,
! [X0_vOptQuestion: vOptQuestion,X1_vOptQuestion: vOptQuestion] :
( ( X1_vOptQuestion = vnoQuestion )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X1_vOptQuestion) = vText )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( X0_vOptQuestion != X1_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283462,c_283468]) ).
tcf(c_298798,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK52(X0_vQMap) = sK135(X0_vOptQuestion) )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_282738,c_283468]) ).
tcf(c_298799,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQMap: vQMap] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK52(X0_vQMap) = sK135(X0_vOptQuestion) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_282737,c_283468]) ).
tcf(c_298800,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK120(X0_vQMap) = sK135(X0_vOptQuestion) )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_282739,c_283468]) ).
tcf(c_298801,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vAType ) ),
inference(equality_resolution,[status(thm)],[c_283468]) ).
tcf(c_298802,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vAType,
inference(forward_subsumption_resolution,[status(thm)],[c_298801,c_376]) ).
tcf(c_298851,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vYesNo )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_298802]) ).
tcf(c_298852,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vYesNo )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_298802]) ).
tcf(c_298853,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_298802]) ).
tcf(c_298854,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK132(X0_vOptQuestion) = sK135(X0_vOptQuestion) ) ),
inference(superposition,[status(thm)],[c_283429,c_298802]) ).
tcf(c_298855,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),
inference(superposition,[status(thm)],[c_283430,c_298802]) ).
tcf(c_298856,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vText )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber ) ),
inference(superposition,[status(thm)],[c_283462,c_298802]) ).
tcf(c_298857,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK52(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282738,c_298802]) ).
tcf(c_298858,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK52(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282737,c_298802]) ).
tcf(c_298859,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282739,c_298802]) ).
tcf(c_298860,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(sK133(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK134(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_298802,c_377]) ).
tcf(c_298863,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vAType,
inference(light_normalisation,[status(thm)],[c_298855,c_298802]) ).
tcf(c_298875,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQuestion(sK133(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK134(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType),
inference(forward_subsumption_resolution,[status(thm)],[c_298860,c_376]) ).
tcf(c_298878,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType),
inference(demodulation,[status(thm)],[c_283430,c_298863]) ).
tcf(c_298908,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vYesNo )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_298863]) ).
tcf(c_298909,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vYesNo )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_298863]) ).
tcf(c_298910,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber )
| ( sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_298863]) ).
tcf(c_298912,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK132(X0_vOptQuestion) = vText ) ),
inference(superposition,[status(thm)],[c_283462,c_298863]) ).
tcf(c_298913,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK52(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282738,c_298863]) ).
tcf(c_298914,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK52(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282737,c_298863]) ).
tcf(c_298915,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282739,c_298863]) ).
tcf(c_298944,plain,
! [X0_vOptQuestion: vOptQuestion,X1_vOptQuestion: vOptQuestion] :
( ( X1_vOptQuestion = vnoQuestion )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK131(X0_vOptQuestion) = sK134(X1_vOptQuestion) )
| ( X0_vOptQuestion != X1_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283429,c_283469]) ).
tcf(c_298945,plain,
! [X0_vOptQuestion: vOptQuestion,X1_vOptQuestion: vOptQuestion] :
( ( X1_vOptQuestion = vnoQuestion )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK134(X0_vOptQuestion) = sK134(X1_vOptQuestion) )
| ( X0_vOptQuestion != X1_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_377,c_283469]) ).
tcf(c_298946,plain,
! [X0_vOptQuestion: vOptQuestion,X1_vOptQuestion: vOptQuestion] :
( ( X1_vOptQuestion = vnoQuestion )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK134(X0_vOptQuestion) = sK134(X1_vOptQuestion) )
| ( X0_vOptQuestion != X1_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283462,c_283469]) ).
tcf(c_298947,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK51(X0_vQMap) = sK134(X0_vOptQuestion) )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_282738,c_283469]) ).
tcf(c_298948,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQMap: vQMap] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK51(X0_vQMap) = sK134(X0_vOptQuestion) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_282737,c_283469]) ).
tcf(c_298949,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK119(X0_vQMap) = sK134(X0_vOptQuestion) )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_282739,c_283469]) ).
tcf(c_298950,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( sK134(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vLabel ) ),
inference(equality_resolution,[status(thm)],[c_283469]) ).
tcf(c_298951,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK134(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vLabel,
inference(forward_subsumption_resolution,[status(thm)],[c_298950,c_376]) ).
tcf(c_299010,plain,
! [X0_vOptQuestion: vOptQuestion,X1_vOptQuestion: vOptQuestion] :
( ( X1_vOptQuestion = vnoQuestion )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK130(X0_vOptQuestion) = sK133(X1_vOptQuestion) )
| ( X0_vOptQuestion != X1_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283429,c_283470]) ).
tcf(c_299011,plain,
! [X0_vOptQuestion: vOptQuestion,X1_vOptQuestion: vOptQuestion] :
( ( X1_vOptQuestion = vnoQuestion )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK133(X0_vOptQuestion) = sK133(X1_vOptQuestion) )
| ( X0_vOptQuestion != X1_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_377,c_283470]) ).
tcf(c_299012,plain,
! [X0_vOptQuestion: vOptQuestion,X1_vOptQuestion: vOptQuestion] :
( ( X1_vOptQuestion = vnoQuestion )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK133(X0_vOptQuestion) = sK133(X1_vOptQuestion) )
| ( X0_vOptQuestion != X1_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283462,c_283470]) ).
tcf(c_299013,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK50(X0_vQMap) = sK133(X0_vOptQuestion) )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_282738,c_283470]) ).
tcf(c_299014,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQMap: vQMap] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK50(X0_vQMap) = sK133(X0_vOptQuestion) )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_282737,c_283470]) ).
tcf(c_299015,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK118(X0_vQMap) = sK133(X0_vOptQuestion) )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_282739,c_283470]) ).
tcf(c_299016,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( sK133(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vQID ) ),
inference(equality_resolution,[status(thm)],[c_283470]) ).
tcf(c_299017,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK133(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vQID,
inference(forward_subsumption_resolution,[status(thm)],[c_299016,c_376]) ).
tcf(c_299059,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeQuestion(vnoQuestion)
| ( X0_vQID = X1_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X1_vQID,X0_vLabel,X0_vAType,vqmempty)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_280,c_283489]) ).
tcf(c_299060,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType,X2_vQID: vQID] :
( visSomeQuestion(vlookupQMap(X0_vQID,X0_vQMap))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X1_vQID,X0_vLabel,X0_vAType,vqmbind(X2_vQID,X1_vLabel,X1_vAType,X0_vQMap))) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284,c_283489]) ).
tcf(c_299061,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vLabel: vLabel,X1_vAType: vAType] :
( visSomeQuestion(vsomeQuestion(X0_vQID,X1_vLabel,X1_vAType))
| ( X0_vQID = X1_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X1_vQID,X0_vLabel,X0_vAType,vqmbind(X0_vQID,X1_vLabel,X1_vAType,X0_vQMap))) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_285,c_283489]) ).
tcf(c_299062,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeQuestion(vlookupQMap(X0_vQID,X0_vQMap))
| ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X1_vQID,X0_vLabel,X0_vAType,sK53(X0_vQMap))) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282719,c_283489]) ).
tcf(c_299063,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeQuestion(vlookupQMap(X0_vQID,X0_vQMap))
| ( X0_vQID = X1_vQID )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X1_vQID,X0_vLabel,X0_vAType,sK53(X0_vQMap))) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282718,c_283489]) ).
tcf(c_299064,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeQuestion(vlookupQMap(X0_vQID,X0_vQMap))
| ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X1_vQID,X0_vLabel,X0_vAType,sK121(X0_vQMap))) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282720,c_283489]) ).
tcf(c_299065,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X1_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),sK132(vlookupQMap(X0_vQID,X0_vQMap))) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283489,c_369]) ).
tcf(c_299066,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X1_vQID,X0_vLabel,X0_vAType,vqmempty)) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_299059,c_375]) ).
tcf(c_299118,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK131(X0_vOptQuestion) = sK134(X0_vOptQuestion) ) ),
inference(superposition,[status(thm)],[c_283429,c_298951]) ).
tcf(c_299119,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK51(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282738,c_298951]) ).
tcf(c_299120,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK51(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282737,c_298951]) ).
tcf(c_299121,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK134(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282739,c_298951]) ).
tcf(c_299122,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vYesNo )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber )
| ( vsomeQuestion(sK133(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vLabel,vText) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_298951,c_283462]) ).
tcf(c_299123,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(sK133(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vLabel,sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_298951,c_377]) ).
tcf(c_299133,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,vText) ) ),
inference(light_normalisation,[status(thm)],[c_299122,c_298802,c_299017]) ).
tcf(c_299134,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,vText) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_299133,c_376]) ).
tcf(c_299138,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK130(X0_vOptQuestion) = sK133(X0_vOptQuestion) ) ),
inference(superposition,[status(thm)],[c_283429,c_299017]) ).
tcf(c_299139,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282738,c_299017]) ).
tcf(c_299140,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282737,c_299017]) ).
tcf(c_299141,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK133(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = sK118(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282739,c_299017]) ).
tcf(c_299142,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vYesNo )
| ( sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = vNumber )
| ( vsomeQuestion(X0_vQID,sK134(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),vText) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_299017,c_283462]) ).
tcf(c_299143,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(X0_vQID,sK134(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_299017,c_377]) ).
tcf(c_299185,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK132(vlookupQMap(X0_vQID,X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(X0_vQID,X0_vQMap)) = vNumber )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),vText) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_368,c_283491]) ).
tcf(c_299186,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK132(vlookupQMap(X0_vQID,X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(X0_vQID,X0_vQMap)) = vNumber )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),X0_vAType) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_283491]) ).
tcf(c_299187,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK132(vlookupQMap(X0_vQID,X0_vQMap)) = vNumber )
| ( sK132(vlookupQMap(X0_vQID,X0_vQMap)) = X0_vAType )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),vYesNo) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283379,c_283491]) ).
tcf(c_299190,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vnoQConf )
| ( vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_285,c_283491]) ).
tcf(c_299191,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),sK132(vlookupQMap(X0_vQID,X0_vQMap))) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282719,c_283491]) ).
tcf(c_299192,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),sK132(vlookupQMap(X0_vQID,X0_vQMap))) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282718,c_283491]) ).
tcf(c_299193,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK118(X0_vQMap) = X0_vQID )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,sK121(X0_vQMap)) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),sK132(vlookupQMap(X0_vQID,X0_vQMap))) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282720,c_283491]) ).
tcf(c_299195,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( visSomeQC(vnoQConf)
| ( vqsingle(vask(X0_vQID)) = vqempty )
| ( vreduce(vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),sK132(vlookupQMap(X0_vQID,X0_vQMap))) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283491,c_430]) ).
tcf(c_299196,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK130(vlookupQMap(X0_vQID,X0_vQMap)) = sK133(vlookupQMap(X0_vQID,X0_vQMap)) )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283491,c_299017]) ).
tcf(c_299197,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK131(vlookupQMap(X0_vQID,X0_vQMap)) = sK134(vlookupQMap(X0_vQID,X0_vQMap)) )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283491,c_298951]) ).
tcf(c_299198,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK130(vlookupQMap(X0_vQID,X0_vQMap)) = sK133(X0_vOptQuestion) )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vlookupQMap(X0_vQID,X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283491,c_283470]) ).
tcf(c_299199,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK131(vlookupQMap(X0_vQID,X0_vQMap)) = sK134(X0_vOptQuestion) )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vlookupQMap(X0_vQID,X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283491,c_283469]) ).
tcf(c_299200,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK132(vlookupQMap(X0_vQID,X0_vQMap)) = sK135(vlookupQMap(X0_vQID,X0_vQMap)) )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283491,c_298802]) ).
tcf(c_299201,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK132(vlookupQMap(X0_vQID,X0_vQMap)) = sK135(X0_vOptQuestion) )
| ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vlookupQMap(X0_vQID,X0_vQMap) != X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283491,c_283468]) ).
tcf(c_299205,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vlookupQMap(X0_vQID,X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_283491,c_376]) ).
tcf(c_299207,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( sK132(vlookupQMap(X1_vQID,X0_vQMap)) = X0_vAType )
| ( vreduce(vqsingle(vask(X1_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(X1_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283491,c_373]) ).
tcf(c_299208,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( sK131(vlookupQMap(X1_vQID,X0_vQMap)) = X0_vLabel )
| ( vreduce(vqsingle(vask(X1_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(X1_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283491,c_372]) ).
tcf(c_299209,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID] :
( ( sK130(vlookupQMap(X1_vQID,X0_vQMap)) = X0_vQID )
| ( vreduce(vqsingle(vask(X1_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vlookupQMap(X1_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283491,c_371]) ).
tcf(c_299240,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vreduce(vqseq(vqsingle(vask(X0_vQID)),X0_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(X0_vQID,X0_vQMap)),sK131(vlookupQMap(X0_vQID,X0_vQMap)),sK132(vlookupQMap(X0_vQID,X0_vQMap))) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_299195,c_434,c_108]) ).
tcf(c_299320,plain,
! [X0_vMapConf: vMapConf,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( vatmbind(X0_vQID,X0_vAType,sK46(X0_vMapConf)) = sK46(X1_vMapConf) )
| ~ vptcheck(X0_vMapConf,vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_283502]) ).
tcf(c_299336,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK132(X0_vOptQuestion) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_298854]) ).
tcf(c_299337,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK135(X0_vOptQuestion) = X0_vAType )
| ( sK132(X0_vOptQuestion) = vYesNo ) ),
inference(superposition,[status(thm)],[c_283379,c_298854]) ).
tcf(c_299339,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK134(X0_vOptQuestion),sK132(X0_vOptQuestion)) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_298854,c_377]) ).
tcf(c_299379,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK131(X0_vOptQuestion),vText) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_299118,c_283462]) ).
tcf(c_299380,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK131(X0_vOptQuestion),sK135(X0_vOptQuestion)) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_299118,c_377]) ).
tcf(c_299381,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vLabel ) ),
inference(superposition,[status(thm)],[c_299118,c_298951]) ).
tcf(c_299384,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vLabel,
inference(forward_subsumption_resolution,[status(thm)],[c_299381,c_376]) ).
tcf(c_299402,plain,
! [X0_vMapConf: vMapConf,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( sK45(X0_vMapConf) = sK45(X1_vMapConf) )
| ~ vptcheck(X0_vMapConf,vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_283516]) ).
tcf(c_299414,plain,
! [X0_vMapConf: vMapConf,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( vecheck(sK46(X0_vMapConf),vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(X0_vMapConf,vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_283527]) ).
tcf(c_299419,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK131(X0_vOptQuestion) = sK134(X0_vOptQuestion) ) ),
inference(superposition,[status(thm)],[c_283462,c_299384]) ).
tcf(c_299420,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK51(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282738,c_299384]) ).
tcf(c_299421,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK51(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282737,c_299384]) ).
tcf(c_299422,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK131(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282739,c_299384]) ).
tcf(c_299423,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vLabel,sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_299384,c_283429]) ).
tcf(c_299434,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vLabel,X0_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(light_normalisation,[status(thm)],[c_299423,c_298863]) ).
tcf(c_299435,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vLabel,X0_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType),
inference(forward_subsumption_resolution,[status(thm)],[c_299434,c_376]) ).
tcf(c_299467,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK134(X0_vOptQuestion),vText) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_299138,c_283462]) ).
tcf(c_299468,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK134(X0_vOptQuestion),sK135(X0_vOptQuestion)) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_299138,c_377]) ).
tcf(c_299469,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_299138,c_299017]) ).
tcf(c_299472,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vQID,
inference(forward_subsumption_resolution,[status(thm)],[c_299469,c_376]) ).
tcf(c_299487,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID,X2_vAType: vAType] :
( vptcheck(vMC(X1_vATMap,vatmbind(X2_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X2_vAType)),vMC(X1_vATMap,vatmbind(X0_vQID,X2_vAType,vatmbind(X2_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)))))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_283536]) ).
tcf(c_299489,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X0_vAType,vatmempty)),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,vatmempty))))
| ( X0_vQID = X1_vQID ) ),
inference(superposition,[status(thm)],[c_255,c_283536]) ).
tcf(c_299490,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))))))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_283536]) ).
tcf(c_299491,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType] :
( vptcheck(vMC(X1_vATMap,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),vqsingle(vdefquestion(sK101(X0_vATMap),X0_vLabel,X1_vAType)),vMC(X1_vATMap,vatmbind(sK101(X0_vATMap),X1_vAType,vatmbind(X0_vQID,X0_vAType,X0_vATMap))))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_283536]) ).
tcf(c_299492,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vqsingle(vdefquestion(sK50(X0_vQMap),X0_vLabel,X1_vAType)),vMC(X0_vATMap,vatmbind(sK50(X0_vQMap),X1_vAType,vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_283536]) ).
tcf(c_299493,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vqsingle(vdefquestion(sK50(X0_vQMap),X0_vLabel,X1_vAType)),vMC(X0_vATMap,vatmbind(sK50(X0_vQMap),X1_vAType,vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_283536]) ).
tcf(c_299494,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID] :
( vptcheck(vMC(X0_vATMap,vatmbind(X2_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vatmbind(X2_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))))))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_283536]) ).
tcf(c_299495,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap)))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))))))
| ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_283536]) ).
tcf(c_299496,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap)))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(X0_vATMap,vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))))))
| ( X0_vQID = X1_vQID )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_283536]) ).
tcf(c_299497,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X0_vAType,sK103(X0_vATMap))),vqsingle(vdefquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(X1_vATMap,vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,sK103(X0_vATMap)))))
| ( X0_vQID = X1_vQID )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_283536]) ).
tcf(c_299529,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,vatmempty))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType))),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_283538,c_281150]) ).
tcf(c_299530,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,vatmempty) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(X2_vATMap,vatmempty))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType))),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_283538,c_281130]) ).
tcf(c_299533,plain,
! [X0_vATMap: vATMap] : sK45(vMC(X0_vATMap,vatmempty)) = X0_vATMap,
inference(superposition,[status(thm)],[c_283538,c_283516]) ).
tcf(c_299534,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : vatmbind(X0_vQID,X0_vAType,sK46(vMC(X0_vATMap,vatmempty))) = vatmbind(X0_vQID,X0_vAType,vatmempty),
inference(superposition,[status(thm)],[c_283538,c_283502]) ).
tcf(c_299536,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : sK45(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,vatmempty))) = X0_vATMap,
inference(superposition,[status(thm)],[c_283538,c_283517]) ).
tcf(c_299537,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : sK46(vMC(X0_vATMap,vatmbind(X0_vQID,X0_vAType,vatmempty))) = vatmbind(X0_vQID,X0_vAType,vatmempty),
inference(superposition,[status(thm)],[c_283538,c_283503]) ).
tcf(c_299573,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK155(X0_vExp) = sK155(X1_vExp) )
| ( sK154(X1_vExp) = X1_vExp )
| ( sK154(X0_vExp) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_283559]) ).
tcf(c_299574,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK155(X1_vExp) = sK156(X0_vExp) )
| ( sK154(X1_vExp) = X1_vExp )
| ( sK154(X0_vExp) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_282214,c_283559]) ).
tcf(c_299587,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK130(X0_vOptQuestion) = sK133(X0_vOptQuestion) ) ),
inference(superposition,[status(thm)],[c_283462,c_299472]) ).
tcf(c_299588,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282738,c_299472]) ).
tcf(c_299589,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282737,c_299472]) ).
tcf(c_299590,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK130(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = sK118(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282739,c_299472]) ).
tcf(c_299591,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(X0_vQID,sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_299472,c_283429]) ).
tcf(c_299626,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK48(X0_vAnsMap)) = vText ) ),
inference(superposition,[status(thm)],[c_368,c_289133]) ).
tcf(c_299627,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vYesNo )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK48(X0_vAnsMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_289133]) ).
tcf(c_299628,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK102(vtypeAM(X0_vAnsMap)) = vNumber )
| ( sK102(vtypeAM(X0_vAnsMap)) = X0_vAType )
| ( vtypeOf(sK48(X0_vAnsMap)) = vYesNo ) ),
inference(superposition,[status(thm)],[c_283379,c_289133]) ).
tcf(c_299631,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_283378,c_289133]) ).
tcf(c_299633,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vatmempty )
| ( vtypeOf(sK48(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3396,c_289133]) ).
tcf(c_299634,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vatmempty )
| ( vtypeOf(sK48(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK102(vtypeAM(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_3355,c_289133]) ).
tcf(c_299639,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK91(X0_vAnsMap)) = vatmempty )
| ( vtypeOf(sK48(sK91(X0_vAnsMap))) = sK102(vtypeAM(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_290222,c_289133]) ).
tcf(c_299640,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vatmbind(sK101(vtypeAM(X0_vAnsMap)),vtypeOf(sK48(X0_vAnsMap)),sK103(vtypeAM(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_289133,c_257]) ).
tcf(c_299641,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vtypeOf(X0_vAval) ) ),
inference(superposition,[status(thm)],[c_289133,c_288850]) ).
tcf(c_299642,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vtypeOf(sK48(X0_vAnsMap)) = vtypeOf(sK90(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_289133,c_289135]) ).
tcf(c_299670,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vatmempty )
| ( sK102(vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap))) = vtypeOf(X0_vAval) ) ),
inference(light_normalisation,[status(thm)],[c_299631,c_286903]) ).
tcf(c_299703,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK155(X0_vExp) = sK156(X1_vExp) )
| ( sK154(X1_vExp) = X1_vExp )
| ( sK154(X0_vExp) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_283601]) ).
tcf(c_299704,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK156(X0_vExp) = sK156(X1_vExp) )
| ( sK154(X1_vExp) = X1_vExp )
| ( sK154(X0_vExp) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_282214,c_283601]) ).
tcf(c_299715,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283611,c_305]) ).
tcf(c_299716,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID)))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283611,c_304]) ).
tcf(c_299718,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vUnOpT: vUnOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283611,c_302]) ).
tcf(c_299719,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283611,c_306]) ).
tcf(c_299720,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID)))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_299716,c_401]) ).
tcf(c_299721,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(X1_vExp,X1_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_299719,c_401]) ).
tcf(c_299722,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_299715,c_401]) ).
tcf(c_299731,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283612,c_305]) ).
tcf(c_299732,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID))),X0_vBinOpT,X0_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283612,c_304]) ).
tcf(c_299734,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vUnOpT: vUnOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),X0_vBinOpT,X0_vExp),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_283612,c_302]) ).
tcf(c_299735,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),X1_vBinOpT,X1_vExp))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_283612,c_306]) ).
tcf(c_299736,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vbinop(vunop(X1_vUnOpT,vunop(X2_vUnOpT,vqvar(X0_vQID))),X0_vBinOpT,X0_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_299732,c_401]) ).
tcf(c_299737,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),X1_vBinOpT,X1_vExp))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_299735,c_401]) ).
tcf(c_299738,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vqvar(X0_vQID))),X0_vBinOpT,X0_vExp),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_299731,c_401]) ).
tcf(c_299762,plain,
! [X0_vEntry: vEntry] :
( ( sK144(X0_vEntry) = vYesNo )
| ( sK144(X0_vEntry) = vNumber )
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),vText) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry ) ),
inference(superposition,[status(thm)],[c_368,c_283621]) ).
tcf(c_299763,plain,
! [X0_vEntry: vEntry,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK144(X0_vEntry) = vYesNo )
| ( sK144(X0_vEntry) = vNumber )
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),X0_vAType) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283379,c_283621]) ).
tcf(c_299764,plain,
! [X0_vEntry: vEntry,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK144(X0_vEntry) = vNumber )
| ( sK144(X0_vEntry) = X0_vAType )
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),vYesNo) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283379,c_283621]) ).
tcf(c_299765,plain,
! [X0_vEntry: vEntry,X0_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,vatmempty),vqsingle(X0_vEntry),vMC(X0_vATMap,vatmbind(sK142(X0_vEntry),sK144(X0_vEntry),vatmempty)))
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283621,c_283538]) ).
tcf(c_299766,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vecheck(X1_vATMap,vqvar(sK142(X0_vEntry))) = vnoAType )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_283621,c_283527]) ).
tcf(c_299767,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( sK45(X0_vMapConf) = X0_vATMap )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_283621,c_283517]) ).
tcf(c_299768,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( sK45(X0_vMapConf) = X0_vATMap )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(X0_vMapConf,vqsingle(X0_vEntry),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_283621,c_283516]) ).
tcf(c_299769,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vatmbind(sK142(X0_vEntry),sK144(X0_vEntry),X1_vATMap) = sK46(X0_vMapConf) )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_283621,c_283503]) ).
tcf(c_299770,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vatmbind(sK142(X0_vEntry),sK144(X0_vEntry),sK46(X0_vMapConf)) = X1_vATMap )
| ~ vptcheck(X0_vMapConf,vqsingle(X0_vEntry),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_283621,c_283502]) ).
tcf(c_299771,plain,
! [X0_vEntry: vEntry,X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(sK142(X0_vEntry),sK144(X0_vEntry),vtypeQM(X0_vQMap))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vqsingle(X0_vEntry),X0_vAnsMap,X0_vQMap) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283621,c_282707]) ).
tcf(c_299772,plain,
! [X0_vEntry: vEntry,X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(X0_vAnsMap),vatmbind(sK142(X0_vEntry),sK144(X0_vEntry),vtypeQM(X0_vQMap))),vqempty,vMC(X0_vATMap,X1_vATMap))
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(vqsingle(X0_vEntry),X0_vAnsMap,X0_vQMap) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_283621,c_282703]) ).
tcf(c_299773,plain,
! [X0_vEntry: vEntry,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vQC(X0_vAnsMap,vqmbind(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry),X0_vQMap),vqempty) = X0_vQConf )
| ( vreduce(vqsingle(X0_vEntry),X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_283621,c_282693]) ).
tcf(c_299774,plain,
! [X0_vEntry: vEntry,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vreduce(vqsingle(X0_vEntry),X0_vAnsMap,X0_vQMap) != vnoQConf ) ),
inference(superposition,[status(thm)],[c_283621,c_282692]) ).
tcf(c_299778,plain,
! [X0_vEntry: vEntry,X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_283621,c_380]) ).
tcf(c_299779,plain,
! [X0_vEntry: vEntry,X0_vATMap: vATMap,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vatmbind(sK142(X0_vEntry),sK144(X0_vEntry),X1_vATMap) = X3_vATMap )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),vMC(X2_vATMap,X3_vATMap)) ),
inference(superposition,[status(thm)],[c_283621,c_379]) ).
tcf(c_299780,plain,
! [X0_vEntry: vEntry,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vvalue(X0_vQID,X0_vAType,X0_vExp) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283621,c_384]) ).
tcf(c_299781,plain,
! [X0_vEntry: vEntry,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( visSomeQC(vreduce(vqsingle(X0_vEntry),X0_vAnsMap,X0_vQMap))
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283621,c_282694]) ).
tcf(c_299782,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vask(X0_vQID) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283621,c_383]) ).
tcf(c_299783,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK144(X0_vEntry) = X0_vAType )
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283621,c_388]) ).
tcf(c_299784,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK143(X0_vEntry) = X0_vLabel )
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283621,c_387]) ).
tcf(c_299785,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK142(X0_vEntry) = X0_vQID )
| ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283621,c_386]) ).
tcf(c_299786,plain,
! [X0_vEntry: vEntry,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vquestion(X0_vQID,X0_vLabel,X0_vAType) != X0_vEntry ) ),
inference(superposition,[status(thm)],[c_283621,c_385]) ).
tcf(c_300031,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType] :
( ( vask(sK145(vvalue(X0_vQID,X0_vAType,X0_vExp))) = vvalue(X0_vQID,X0_vAType,X0_vExp) )
| ( vvalue(sK139(vvalue(X0_vQID,X0_vAType,X0_vExp)),sK140(vvalue(X0_vQID,X0_vAType,X0_vExp)),sK141(vvalue(X0_vQID,X0_vAType,X0_vExp))) = vvalue(X0_vQID,X0_vAType,X0_vExp) )
| ( vdefquestion(sK142(vvalue(X0_vQID,X0_vAType,X0_vExp)),sK143(vvalue(X0_vQID,X0_vAType,X0_vExp)),sK144(vvalue(X0_vQID,X0_vAType,X0_vExp))) = vvalue(X0_vQID,X0_vAType,X0_vExp) ) ),
inference(equality_resolution,[status(thm)],[c_283622]) ).
tcf(c_300032,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType] :
( ( vask(sK145(vvalue(X0_vQID,X0_vAType,X0_vExp))) = vvalue(X0_vQID,X0_vAType,X0_vExp) )
| ( vvalue(sK139(vvalue(X0_vQID,X0_vAType,X0_vExp)),sK140(vvalue(X0_vQID,X0_vAType,X0_vExp)),sK141(vvalue(X0_vQID,X0_vAType,X0_vExp))) = vvalue(X0_vQID,X0_vAType,X0_vExp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_300031,c_384]) ).
tcf(c_300057,plain,
! [X0_vEntry: vEntry,X1_vEntry: vEntry] :
( ( sK138(X0_vEntry) = vYesNo )
| ( sK138(X0_vEntry) = vNumber )
| ( vask(sK145(X1_vEntry)) = X1_vEntry )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vquestion(sK136(X0_vEntry),sK137(X0_vEntry),vText) = X0_vEntry )
| ( vvalue(sK139(X1_vEntry),sK140(X1_vEntry),sK141(X1_vEntry)) = X1_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X1_vEntry),sK143(X1_vEntry),sK144(X1_vEntry)) = X1_vEntry )
| ( X0_vEntry != X1_vEntry ) ),
inference(superposition,[status(thm)],[c_283621,c_283623]) ).
tcf(c_300058,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vask(sK145(vdefquestion(X0_vQID,X0_vLabel,X0_vAType))) = vdefquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vvalue(sK139(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),sK140(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),sK141(vdefquestion(X0_vQID,X0_vLabel,X0_vAType))) = vdefquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vdefquestion(sK142(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),sK143(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),sK144(vdefquestion(X0_vQID,X0_vLabel,X0_vAType))) = vdefquestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(equality_resolution,[status(thm)],[c_283623]) ).
tcf(c_300079,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282719,c_291144]) ).
tcf(c_300080,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282718,c_291144]) ).
tcf(c_300081,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282720,c_291144]) ).
tcf(c_300082,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) != vnoQuestion ) ),
inference(superposition,[status(thm)],[c_291342,c_291144]) ).
tcf(c_300083,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) = vatmempty )
| ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) != vnoQuestion ) ),
inference(light_normalisation,[status(thm)],[c_300082,c_93,c_285]) ).
tcf(c_300114,plain,
! [X0_vQID: vQID] :
( ( vask(sK145(vask(X0_vQID))) = vask(X0_vQID) )
| ( vvalue(sK139(vask(X0_vQID)),sK140(vask(X0_vQID)),sK141(vask(X0_vQID))) = vask(X0_vQID) )
| ( vdefquestion(sK142(vask(X0_vQID)),sK143(vask(X0_vQID)),sK144(vask(X0_vQID))) = vask(X0_vQID) ) ),
inference(equality_resolution,[status(thm)],[c_283624]) ).
tcf(c_300115,plain,
! [X0_vQID: vQID] : vask(sK145(vask(X0_vQID))) = vask(X0_vQID),
inference(forward_subsumption_resolution,[status(thm)],[c_300114,c_393,c_383]) ).
tcf(c_300121,plain,
! [X0_vMapConf: vMapConf,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( sK46(X0_vMapConf) = sK46(X1_vMapConf) )
| ~ vptcheck(X0_vMapConf,vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_283651]) ).
tcf(c_300130,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vreduce(vqsingle(vask(X0_vQID)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(sK145(vask(X0_vQID)),X0_vQMap)),sK131(vlookupQMap(sK145(vask(X0_vQID)),X0_vQMap)),sK132(vlookupQMap(sK145(vask(X0_vQID)),X0_vQMap))) = vlookupQMap(sK145(vask(X0_vQID)),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_300115,c_283491]) ).
tcf(c_300131,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( ( vecheck(X0_vATMap,vqvar(sK145(vask(X0_vQID)))) = vnoAType )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_300115,c_283259]) ).
tcf(c_300132,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( ( vsomeAType(sK126(X1_vATMap,sK145(vask(X0_vQID)))) = vecheck(X1_vATMap,vqvar(sK145(vask(X0_vQID)))) )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(X0_vQID)),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_300115,c_283248]) ).
tcf(c_300137,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( sK145(vask(X0_vQID)) = X1_vQID )
| ( vask(X0_vQID) != vask(X1_vQID) ) ),
inference(superposition,[status(thm)],[c_300115,c_423]) ).
tcf(c_300138,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( sK145(vask(X1_vQID)) = X0_vQID )
| ( vask(X0_vQID) != vask(X1_vQID) ) ),
inference(superposition,[status(thm)],[c_300115,c_423]) ).
tcf(c_300159,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( vexpIsValue(sK154(X0_vExp))
| ( sK154(X1_vExp) = X1_vExp )
| ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( sK154(X0_vExp) != X1_vExp ) ),
inference(superposition,[status(thm)],[c_293702,c_283553]) ).
tcf(c_300160,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( vexpIsValue(sK154(X0_vExp))
| ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vconstant(X0_vAval) != sK154(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_293702,c_416]) ).
tcf(c_300198,plain,
! [X0_vMapConf: vMapConf,X0_vExp: vExp,X0_vQID: vQID,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( vatmbind(X0_vQID,X0_vAType,sK45(X0_vMapConf)) = sK45(X1_vMapConf) )
| ~ vptcheck(X0_vMapConf,vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_283661]) ).
tcf(c_300213,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X1_vAnsMap))
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_334]) ).
tcf(c_300214,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_419]) ).
tcf(c_300215,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_418]) ).
tcf(c_300241,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( vexpIsValue(sK154(X0_vExp))
| ( sK154(X1_vExp) = X1_vExp )
| ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( sK154(X0_vExp) != X1_vExp ) ),
inference(superposition,[status(thm)],[c_293703,c_283553]) ).
tcf(c_300242,plain,
! [X0_vAval: vAval,X0_vExp: vExp] :
( vexpIsValue(sK154(X0_vExp))
| ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vconstant(X0_vAval) != sK154(X0_vExp) ) ),
inference(superposition,[status(thm)],[c_293703,c_416]) ).
tcf(c_300257,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( vconstant(sK155(vqvar(X1_vQID))) = vqvar(X1_vQID) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283682,c_418]) ).
tcf(c_300258,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] : vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_300257,c_414]) ).
tcf(c_300266,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X1_vAnsMap))
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283720,c_334]) ).
tcf(c_300267,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283720,c_419]) ).
tcf(c_300268,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283720,c_418]) ).
tcf(c_300288,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X1_vAnsMap))
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_334]) ).
tcf(c_300289,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_419]) ).
tcf(c_300290,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_418]) ).
tcf(c_300327,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeQC(vnoQConf)
| ( vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))) = vqempty )
| ( vreduce(vqseq(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),X0_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_300258,c_430]) ).
tcf(c_300328,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] : vreduce(vqseq(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),X0_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_300327,c_434,c_108]) ).
tcf(c_300337,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| visSomeExp(vreduceExp(X2_vExp,X1_vAnsMap))
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283722,c_334]) ).
tcf(c_300338,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283722,c_419]) ).
tcf(c_300339,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283722,c_418]) ).
tcf(c_300367,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X1_vAnsMap))
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283723,c_334]) ).
tcf(c_300368,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283723,c_419]) ).
tcf(c_300369,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283723,c_418]) ).
tcf(c_300412,plain,
! [X0_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( sK150(X0_vExp) = vltop )
| ( sK150(X0_vExp) = vaddop )
| ( sK150(X0_vExp) = veqop )
| ( sK150(X0_vExp) = vorop )
| ( sK150(X0_vExp) = vmulop )
| ( sK150(X0_vExp) = vdivop )
| ( sK150(X0_vExp) = vandop )
| ( sK150(X0_vExp) = vsubop )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_283768,c_293788]) ).
tcf(c_300413,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK154(X1_vExp) = X1_vExp )
| ( sK150(X0_vExp) = vltop )
| ( sK150(X0_vExp) = vaddop )
| ( sK150(X0_vExp) = veqop )
| ( sK150(X0_vExp) = vorop )
| ( sK150(X0_vExp) = vmulop )
| ( sK150(X0_vExp) = vdivop )
| ( sK150(X0_vExp) = vandop )
| ( sK150(X0_vExp) = vsubop )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_283768,c_283554]) ).
tcf(c_300422,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X2_vExp: vExp] :
( ( sK151(X2_vExp) = X1_vExp )
| ( sK150(X2_vExp) = vltop )
| ( sK150(X2_vExp) = vaddop )
| ( sK150(X2_vExp) = veqop )
| ( sK150(X2_vExp) = vorop )
| ( sK150(X2_vExp) = vmulop )
| ( sK150(X2_vExp) = vdivop )
| ( sK150(X2_vExp) = vandop )
| ( sK150(X2_vExp) = vsubop )
| ( vqvar(sK148(X2_vExp)) = X2_vExp )
| ( vconstant(sK147(X2_vExp)) = X2_vExp )
| ( vunop(sK152(X2_vExp),sK153(X2_vExp)) = X2_vExp )
| ( vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != X2_vExp ) ),
inference(superposition,[status(thm)],[c_283768,c_413]) ).
tcf(c_300423,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X2_vExp: vExp] :
( ( X0_vBinOpT = vgtop )
| ( sK150(X2_vExp) = vltop )
| ( sK150(X2_vExp) = vaddop )
| ( sK150(X2_vExp) = veqop )
| ( sK150(X2_vExp) = vorop )
| ( sK150(X2_vExp) = vmulop )
| ( sK150(X2_vExp) = vdivop )
| ( sK150(X2_vExp) = vandop )
| ( sK150(X2_vExp) = vsubop )
| ( vqvar(sK148(X2_vExp)) = X2_vExp )
| ( vconstant(sK147(X2_vExp)) = X2_vExp )
| ( vunop(sK152(X2_vExp),sK153(X2_vExp)) = X2_vExp )
| ( vbinop(X0_vExp,X0_vBinOpT,X1_vExp) != X2_vExp ) ),
inference(superposition,[status(thm)],[c_283768,c_412]) ).
tcf(c_300492,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vText )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_298857]) ).
tcf(c_300493,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = X0_vAType )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_298857]) ).
tcf(c_300494,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_298857]) ).
tcf(c_300498,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK135(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK52(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_298857]) ).
tcf(c_300499,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK135(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK52(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_298857]) ).
tcf(c_300500,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK135(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK52(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_298857]) ).
tcf(c_300501,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK135(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_298857]) ).
tcf(c_300502,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK52(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298857,c_298854]) ).
tcf(c_300503,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298857,c_377]) ).
tcf(c_300570,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vText )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_298859]) ).
tcf(c_300571,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = X0_vAType )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_298859]) ).
tcf(c_300572,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vNumber )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_298859]) ).
tcf(c_300575,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID )
| ( sK135(vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap)) = sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_284,c_298859]) ).
tcf(c_300576,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK135(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK120(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_298859]) ).
tcf(c_300577,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK135(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK120(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_298859]) ).
tcf(c_300578,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK118(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK135(vlookupQMap(sK118(sK121(X0_vQMap)),X0_vQMap)) = sK120(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_298859]) ).
tcf(c_300579,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290912,c_298859]) ).
tcf(c_300580,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298859,c_298854]) ).
tcf(c_300581,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK134(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298859,c_377]) ).
tcf(c_300618,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID )
| ( sK135(vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap)) = sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(light_normalisation,[status(thm)],[c_300575,c_290921,c_291008]) ).
tcf(c_300675,plain,
! [X0_vExp: vExp,X0_vUnOpT: vUnOpT] :
( ( vqvar(sK148(vunop(X0_vUnOpT,X0_vExp))) = vunop(X0_vUnOpT,X0_vExp) )
| ( vconstant(sK147(vunop(X0_vUnOpT,X0_vExp))) = vunop(X0_vUnOpT,X0_vExp) )
| ( vunop(sK152(vunop(X0_vUnOpT,X0_vExp)),sK153(vunop(X0_vUnOpT,X0_vExp))) = vunop(X0_vUnOpT,X0_vExp) ) ),
inference(equality_resolution,[status(thm)],[c_283769]) ).
tcf(c_300688,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vqvar(sK148(X1_vExp)) = X1_vExp )
| ( vconstant(sK147(X1_vExp)) = X1_vExp )
| ( vunop(sK152(X1_vExp),sK153(X1_vExp)) = X1_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_282182,c_283770]) ).
tcf(c_300690,plain,
! [X0_vAval: vAval] :
( ( vqvar(sK148(vconstant(X0_vAval))) = vconstant(X0_vAval) )
| ( vconstant(sK147(vconstant(X0_vAval))) = vconstant(X0_vAval) )
| ( vunop(sK152(vconstant(X0_vAval)),sK153(vconstant(X0_vAval))) = vconstant(X0_vAval) ) ),
inference(equality_resolution,[status(thm)],[c_283770]) ).
tcf(c_300691,plain,
! [X0_vAval: vAval] :
( ( vqvar(sK148(vconstant(X0_vAval))) = vconstant(X0_vAval) )
| ( vconstant(sK147(vconstant(X0_vAval))) = vconstant(X0_vAval) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_300690,c_405]) ).
tcf(c_300708,plain,
! [X0_vQID: vQID] :
( ( vqvar(sK148(vqvar(X0_vQID))) = vqvar(X0_vQID) )
| ( vconstant(sK147(vqvar(X0_vQID))) = vqvar(X0_vQID) )
| ( vunop(sK152(vqvar(X0_vQID)),sK153(vqvar(X0_vQID))) = vqvar(X0_vQID) ) ),
inference(equality_resolution,[status(thm)],[c_283771]) ).
tcf(c_300709,plain,
! [X0_vQID: vQID] : vqvar(sK148(vqvar(X0_vQID))) = vqvar(X0_vQID),
inference(forward_subsumption_resolution,[status(thm)],[c_300708,c_414,c_404]) ).
tcf(c_300728,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X0_vAType,X0_vATMap)),vqsingle(vdefquestion(sK148(vqvar(X0_vQID)),X0_vLabel,X1_vAType)),vMC(X1_vATMap,vatmbind(sK148(vqvar(X0_vQID)),X1_vAType,vatmbind(X1_vQID,X0_vAType,X0_vATMap))))
| ( sK148(vqvar(X0_vQID)) = X1_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_283536]) ).
tcf(c_300729,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),sK146(X0_vOptAType),X1_vATMap),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(sK148(vqvar(X0_vQID)))) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_300709,c_283274]) ).
tcf(c_300730,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),sK122(X0_vOptAType),X1_vATMap),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(sK148(vqvar(X0_vQID)))) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_300709,c_283273]) ).
tcf(c_300731,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X1_vATMap)),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),X1_vAType,X0_vATMap),vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X1_vATMap)))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_283271]) ).
tcf(c_300732,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X1_vAType,X1_vATMap)),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap),vatmbind(X1_vQID,X1_vAType,X1_vATMap)))
| ( sK148(vqvar(X0_vQID)) = X1_vQID )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(sK148(vqvar(X0_vQID)))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_283270]) ).
tcf(c_300733,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(sK148(vqvar(X0_vQID)),sK146(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_300709,c_283201]) ).
tcf(c_300734,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vOptAType = vnoAType )
| ( vatmbind(sK148(vqvar(X0_vQID)),sK122(X0_vOptAType),X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_300709,c_283200]) ).
tcf(c_300735,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( sK148(vqvar(X0_vQID)) = X1_vQID )
| ( vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_300709,c_283197]) ).
tcf(c_300742,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK148(vqvar(X0_vQID)),sK146(X0_vOptAType),X0_vExp)),vMC(vatmbind(sK148(vqvar(X0_vQID)),sK146(X0_vOptAType),X0_vATMap),X1_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,X0_vExp) != X0_vOptAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_282959]) ).
tcf(c_300743,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK148(vqvar(X0_vQID)),sK122(X0_vOptAType),X0_vExp)),vMC(vatmbind(sK148(vqvar(X0_vQID)),sK122(X0_vOptAType),X0_vATMap),X1_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X0_vATMap,X0_vExp) != X0_vOptAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_282958]) ).
tcf(c_300744,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK148(vqvar(X0_vQID)),X0_vAType,vconstant(vB(X0_vYN)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap),X1_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vYesNo) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_282957]) ).
tcf(c_300745,plain,
! [X0_vATMap: vATMap,X0_vstring: vstring,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK148(vqvar(X0_vQID)),X0_vAType,vconstant(vT(X0_vstring)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap),X1_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vText) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_282956]) ).
tcf(c_300746,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vnat: vnat,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vvalue(sK148(vqvar(X0_vQID)),X0_vAType,vconstant(vNum(X0_vnat)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap),X1_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(vNumber) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_282952]) ).
tcf(c_300747,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqcond(vqvar(sK148(vqvar(X0_vQID))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( sK148(vqvar(X0_vQID)) = X1_vQID )
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_300709,c_282901]) ).
tcf(c_300748,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK148(vqvar(X0_vQID)) = sK101(X0_vATMap) )
| ( vecheck(sK103(X0_vATMap),vqvar(X0_vQID)) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_300709,c_282322]) ).
tcf(c_300749,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK148(vqvar(X0_vQID)) = sK50(X0_vQMap) )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_300709,c_282085]) ).
tcf(c_300750,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK148(vqvar(X0_vQID)) = sK50(X0_vQMap) )
| ( vecheck(vtypeQM(sK53(X0_vQMap)),vqvar(X0_vQID)) = vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_300709,c_282084]) ).
tcf(c_300751,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] : vecheck(vtypeAM(vabind(sK148(vqvar(X0_vQID)),X0_vAval,X0_vAnsMap)),vqvar(X0_vQID)) = vsomeAType(vtypeOf(X0_vAval)),
inference(superposition,[status(thm)],[c_300709,c_282095]) ).
tcf(c_300757,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vquestion(sK148(vqvar(X0_vQID)),X0_vLabel,X0_vAType)),vMC(vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap),X1_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_440]) ).
tcf(c_300761,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vdefquestion(sK148(vqvar(X0_vQID)),X0_vLabel,X0_vAType)),vMC(X1_vATMap,vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap)))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_382]) ).
tcf(c_300762,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( sK148(vqvar(X0_vQID)) = X1_vQID )
| ( vqvar(X0_vQID) != vqvar(X1_vQID) ) ),
inference(superposition,[status(thm)],[c_300709,c_415]) ).
tcf(c_300763,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap),X1_vATMap))
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(sK148(vqvar(X0_vQID)))) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_361]) ).
tcf(c_300765,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X1_vATMap) = X2_vATMap )
| ~ vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) ) ),
inference(superposition,[status(thm)],[c_300709,c_358]) ).
tcf(c_300770,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : vecheck(vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap),vqvar(X0_vQID)) = vsomeAType(X0_vAType),
inference(superposition,[status(thm)],[c_300709,c_240]) ).
tcf(c_300775,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X1_vQID)))
| ( sK148(vqvar(X1_vQID)) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vbinop(X0_vExp,X0_vBinOpT,vqvar(sK148(vqvar(X1_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_283043]) ).
tcf(c_300776,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X1_vQID)))
| ( sK148(vqvar(X1_vQID)) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vbinop(vqvar(sK148(vqvar(X1_vQID))),X0_vBinOpT,X0_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_283015]) ).
tcf(c_300777,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeAType(vecheck(X0_vATMap,vqvar(X1_vQID)))
| ( sK148(vqvar(X1_vQID)) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vunop(X0_vUnOpT,vqvar(sK148(vqvar(X1_vQID))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_282998]) ).
tcf(c_300778,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(sK148(vqvar(X1_vQID)),X1_vAType,vqvar(X0_vQID))),vMC(vatmbind(sK148(vqvar(X1_vQID)),X1_vAType,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X1_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_282954]) ).
tcf(c_300779,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vvalue(sK148(vqvar(X1_vQID)),X1_vAType,vqvar(X2_vQID))),vMC(vatmbind(sK148(vqvar(X1_vQID)),X1_vAType,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vQID = X2_vQID )
| ( vecheck(X0_vATMap,vqvar(X2_vQID)) != vsomeAType(X1_vAType) )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X1_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_300709,c_282953]) ).
tcf(c_300780,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( sK148(vqvar(X1_vQID)) = X0_vQID )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),vqvar(X1_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_300709,c_282083]) ).
tcf(c_300781,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( sK148(vqvar(X1_vQID)) = X0_vQID )
| ( vqvar(X0_vQID) != vqvar(X1_vQID) ) ),
inference(superposition,[status(thm)],[c_300709,c_415]) ).
tcf(c_300782,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( sK148(vqvar(X1_vQID)) = X0_vQID )
| ( vecheck(vatmbind(X0_vQID,X0_vAType,X0_vATMap),vqvar(X1_vQID)) = vecheck(X0_vATMap,vqvar(X1_vQID)) ) ),
inference(superposition,[status(thm)],[c_300709,c_239]) ).
tcf(c_300824,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap] :
( vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap),X1_vATMap))
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(light_normalisation,[status(thm)],[c_300763,c_300709]) ).
tcf(c_300852,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),sK122(X0_vOptAType),X1_vATMap),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(light_normalisation,[status(thm)],[c_300730,c_300709]) ).
tcf(c_300857,plain,
! [X0_vOptAType: vOptAType,X0_vATMap: vATMap,X0_vQID: vQID,X1_vATMap: vATMap] :
( vptcheck(vMC(X1_vATMap,X0_vATMap),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),sK146(X0_vOptAType),X1_vATMap),X0_vATMap))
| ( X0_vOptAType = vnoAType )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vnoAType )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != X0_vOptAType ) ),
inference(light_normalisation,[status(thm)],[c_300729,c_300709]) ).
tcf(c_300868,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(X0_vATMap,vatmbind(X1_vQID,X1_vAType,X1_vATMap)),vqsingle(vask(sK148(vqvar(X0_vQID)))),vMC(vatmbind(sK148(vqvar(X0_vQID)),X0_vAType,X0_vATMap),vatmbind(X1_vQID,X1_vAType,X1_vATMap)))
| ( sK148(vqvar(X0_vQID)) = X1_vQID )
| ( vecheck(X1_vATMap,vqvar(X0_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(light_normalisation,[status(thm)],[c_300732,c_300709]) ).
tcf(c_300877,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqcond(vqvar(X0_vQID),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X2_vATMap,X3_vATMap))
| ( sK148(vqvar(X0_vQID)) = X1_vQID )
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),X1_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,X0_vATMap),X1_vATMap),X0_vQuestionnaire,vMC(X2_vATMap,X3_vATMap))
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vsomeAType(vYesNo) ) ),
inference(light_normalisation,[status(thm)],[c_300747,c_300709]) ).
tcf(c_300950,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vText )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_298913]) ).
tcf(c_300951,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = X0_vAType )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_298913]) ).
tcf(c_300952,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_298913]) ).
tcf(c_300955,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK132(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK52(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_298913]) ).
tcf(c_300956,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK132(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK52(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_298913]) ).
tcf(c_300957,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK132(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK52(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_298913]) ).
tcf(c_300958,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK132(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_298913]) ).
tcf(c_300959,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298913,c_283429]) ).
tcf(c_300960,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vask(sK50(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298913,c_283491]) ).
tcf(c_301029,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK149(X0_vExp) = sK149(X1_vExp) )
| ( vqvar(sK148(X1_vExp)) = X1_vExp )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X1_vExp)) = X1_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X1_vExp),sK153(X1_vExp)) = X1_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_283804]) ).
tcf(c_301031,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( sK149(vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = X0_vExp )
| ( vqvar(sK148(vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp) )
| ( vconstant(sK147(vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp) )
| ( vunop(sK152(vbinop(X0_vExp,X0_vBinOpT,X1_vExp)),sK153(vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp) ) ),
inference(equality_resolution,[status(thm)],[c_283804]) ).
tcf(c_301047,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(sK34,sK33,vq2)) != vreduce(vq2,X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_283817,c_287328,c_287864,c_287984]) ).
tcf(c_301048,plain,
! [X0_vATMap: vATMap,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(X0_vAnsMap),vtypeQM(X0_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vsomeQConf(vQC(sK34,sK33,vq2)) != vreduce(vq1,X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_283818,c_287328,c_287864,c_287984]) ).
tcf(c_301055,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vText )
| ( sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_298915]) ).
tcf(c_301056,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = X0_vAType )
| ( sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_298915]) ).
tcf(c_301057,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vNumber )
| ( sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_298915]) ).
tcf(c_301059,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID )
| ( sK132(vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap)) = sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_284,c_298915]) ).
tcf(c_301060,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK132(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK120(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_298915]) ).
tcf(c_301061,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK132(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK120(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_298915]) ).
tcf(c_301062,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK118(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK132(vlookupQMap(sK118(sK121(X0_vQMap)),X0_vQMap)) = sK120(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_298915]) ).
tcf(c_301063,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290912,c_298915]) ).
tcf(c_301064,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298915,c_283429]) ).
tcf(c_301065,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vask(sK118(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298915,c_283491]) ).
tcf(c_301102,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID )
| ( sK132(vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap)) = sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(light_normalisation,[status(thm)],[c_301059,c_290921,c_291008]) ).
tcf(c_301150,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK134(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK51(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299119]) ).
tcf(c_301151,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK134(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK51(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299119]) ).
tcf(c_301152,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK134(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK51(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299119]) ).
tcf(c_301153,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK134(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_299119]) ).
tcf(c_301154,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK51(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299119,c_299118]) ).
tcf(c_301155,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),vText) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299119,c_283462]) ).
tcf(c_301156,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299119,c_377]) ).
tcf(c_301258,plain,
! [X0_vQConf: vQConf] :
( ( vQC(sK34,sK33,vq2) = X0_vQConf )
| ( vsomeQConf(vQC(sK34,sK33,vq2)) != vsomeQConf(X0_vQConf) ) ),
inference(light_normalisation,[status(thm)],[c_283822,c_287328,c_287864,c_287984]) ).
tcf(c_301269,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK150(X0_vExp) = sK150(X1_vExp) )
| ( vqvar(sK148(X1_vExp)) = X1_vExp )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X1_vExp)) = X1_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X1_vExp),sK153(X1_vExp)) = X1_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_283838]) ).
tcf(c_301270,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK150(X1_vExp) = vgtop )
| ( sK150(X0_vExp) = vltop )
| ( sK150(X0_vExp) = vaddop )
| ( sK150(X0_vExp) = veqop )
| ( sK150(X0_vExp) = vorop )
| ( sK150(X0_vExp) = vmulop )
| ( sK150(X0_vExp) = vdivop )
| ( sK150(X0_vExp) = vandop )
| ( sK150(X0_vExp) = vsubop )
| ( vqvar(sK148(X1_vExp)) = X1_vExp )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X1_vExp)) = X1_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X1_vExp),sK153(X1_vExp)) = X1_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_283768,c_283838]) ).
tcf(c_301271,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( sK150(vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = X0_vBinOpT )
| ( vqvar(sK148(vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp) )
| ( vconstant(sK147(vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp) )
| ( vunop(sK152(vbinop(X0_vExp,X0_vBinOpT,X1_vExp)),sK153(vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp) ) ),
inference(equality_resolution,[status(thm)],[c_283838]) ).
tcf(c_301315,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK151(X0_vExp) = sK151(X1_vExp) )
| ( vqvar(sK148(X1_vExp)) = X1_vExp )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X1_vExp)) = X1_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X1_vExp),sK153(X1_vExp)) = X1_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_408,c_283851]) ).
tcf(c_301316,plain,
! [X0_vExp: vExp,X1_vExp: vExp] :
( ( sK151(X0_vExp) = sK151(X1_vExp) )
| ( sK150(X0_vExp) = vltop )
| ( sK150(X0_vExp) = vaddop )
| ( sK150(X0_vExp) = veqop )
| ( sK150(X0_vExp) = vorop )
| ( sK150(X0_vExp) = vmulop )
| ( sK150(X0_vExp) = vdivop )
| ( sK150(X0_vExp) = vandop )
| ( sK150(X0_vExp) = vsubop )
| ( vqvar(sK148(X1_vExp)) = X1_vExp )
| ( vqvar(sK148(X0_vExp)) = X0_vExp )
| ( vconstant(sK147(X1_vExp)) = X1_vExp )
| ( vconstant(sK147(X0_vExp)) = X0_vExp )
| ( vunop(sK152(X1_vExp),sK153(X1_vExp)) = X1_vExp )
| ( vunop(sK152(X0_vExp),sK153(X0_vExp)) = X0_vExp )
| ( X0_vExp != X1_vExp ) ),
inference(superposition,[status(thm)],[c_283768,c_283851]) ).
tcf(c_301317,plain,
! [X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( sK151(vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = X1_vExp )
| ( vqvar(sK148(vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp) )
| ( vconstant(sK147(vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp) )
| ( vunop(sK152(vbinop(X0_vExp,X0_vBinOpT,X1_vExp)),sK153(vbinop(X0_vExp,X0_vBinOpT,X1_vExp))) = vbinop(X0_vExp,X0_vBinOpT,X1_vExp) ) ),
inference(equality_resolution,[status(thm)],[c_283851]) ).
tcf(c_301403,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID )
| ( sK134(vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap)) = sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_284,c_299121]) ).
tcf(c_301404,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK134(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK119(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299121]) ).
tcf(c_301405,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK134(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK119(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299121]) ).
tcf(c_301406,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK118(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK134(vlookupQMap(sK118(sK121(X0_vQMap)),X0_vQMap)) = sK119(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299121]) ).
tcf(c_301407,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290912,c_299121]) ).
tcf(c_301408,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK131(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299121,c_299118]) ).
tcf(c_301409,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vNumber )
| ( vsomeQuestion(sK133(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),vText) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299121,c_283462]) ).
tcf(c_301410,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299121,c_377]) ).
tcf(c_301431,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID )
| ( sK134(vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap)) = X0_vLabel ) ),
inference(light_normalisation,[status(thm)],[c_301403,c_290921,c_291609]) ).
tcf(c_301466,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK133(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK50(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299139]) ).
tcf(c_301467,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK133(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK50(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299139]) ).
tcf(c_301468,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK133(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK50(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299139]) ).
tcf(c_301469,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK133(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_291342,c_299139]) ).
tcf(c_301470,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299139,c_299138]) ).
tcf(c_301471,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( vsomeQuestion(sK50(X0_vQMap),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),vText) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299139,c_283462]) ).
tcf(c_301472,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK50(X0_vQMap),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299139,c_377]) ).
tcf(c_301508,plain,
! [X0_vMapConf: vMapConf,X0_vQID: vQID,X1_vMapConf: vMapConf] :
( ( sK46(X0_vMapConf) = sK46(X1_vMapConf) )
| ~ vptcheck(X0_vMapConf,vqsingle(vask(X0_vQID)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_283864]) ).
tcf(c_301542,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X1_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(light_normalisation,[status(thm)],[c_283891,c_287328]) ).
tcf(c_301552,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X0_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X1_vYN = vno )
| ( X0_vYN = vyes ) ),
inference(superposition,[status(thm)],[c_290457,c_301542]) ).
tcf(c_301554,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X0_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vno ) ),
inference(superposition,[status(thm)],[c_289503,c_301542]) ).
tcf(c_301556,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(vyes)),vq1,vq2),vMC(sK35,sK31))
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(superposition,[status(thm)],[c_289185,c_301542]) ).
tcf(c_301558,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(X0_vAval),vq1,vq2),vMC(sK35,sK31))
| ( X0_vYN = vno )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_261,c_301542]) ).
tcf(c_301559,plain,
! [X0_vYN: vYN,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vYN: vYN,X1_vATMap: vATMap] :
( ( X1_vYN = vno )
| ( X0_vATMap = sK35 )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vtypeAM(sK34),vtypeQM(sK33)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqcond(vconstant(vB(X0_vYN)),vq1,vq2)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_301542,c_281150]) ).
tcf(c_301560,plain,
! [X0_vYN: vYN,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X1_vYN: vYN,X1_vATMap: vATMap] :
( ( X1_vATMap = sK31 )
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vtypeAM(sK34),vtypeQM(sK33)))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqcond(vconstant(vB(X0_vYN)),vq1,vq2)),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_301542,c_281130]) ).
tcf(c_301561,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X1_vYN: vYN,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X0_vATMap = X2_vATMap )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_301542,c_281042]) ).
tcf(c_301562,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X1_vYN: vYN,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_301542,c_281037]) ).
tcf(c_301563,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X1_vYN: vYN,X1_vATMap: vATMap] :
( ( X0_vATMap = sK35 )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_301542,c_281032]) ).
tcf(c_301564,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X1_vYN: vYN,X1_vATMap: vATMap] :
( ( X1_vATMap = sK31 )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_301542,c_281027]) ).
tcf(c_301565,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(sK40(sK46(vMC(vtypeAM(sK34),vtypeQM(sK33))),vq1,sK45(vMC(vtypeAM(sK34),vtypeQM(sK33)))),sK41(sK46(vMC(vtypeAM(sK34),vtypeQM(sK33))),vq1,sK45(vMC(vtypeAM(sK34),vtypeQM(sK33))))))
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_301542,c_281008]) ).
tcf(c_301566,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(sK38(sK46(vMC(vtypeAM(sK34),vtypeQM(sK33))),sK45(vMC(vtypeAM(sK34),vtypeQM(sK33))),vq2),sK39(sK46(vMC(vtypeAM(sK34),vtypeQM(sK33))),sK45(vMC(vtypeAM(sK34),vtypeQM(sK33))),vq2)))
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_301542,c_281005]) ).
tcf(c_301567,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vecheck(vtypeAM(sK34),vconstant(vB(X0_vYN))) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_301542,c_282877]) ).
tcf(c_301659,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID )
| ( sK133(vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap)) = sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_284,c_299141]) ).
tcf(c_301660,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK133(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK118(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299141]) ).
tcf(c_301661,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK133(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK118(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299141]) ).
tcf(c_301662,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK118(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK133(vlookupQMap(sK118(sK121(X0_vQMap)),X0_vQMap)) = sK118(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299141]) ).
tcf(c_301664,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK130(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = sK118(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299141,c_299138]) ).
tcf(c_301665,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap)) = vNumber )
| ( vsomeQuestion(sK118(X0_vQMap),sK134(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),vText) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299141,c_283462]) ).
tcf(c_301666,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK118(X0_vQMap),sK134(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299141,c_377]) ).
tcf(c_301685,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID )
| ( sK133(vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap)) = sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(light_normalisation,[status(thm)],[c_301659,c_290921]) ).
tcf(c_301713,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK131(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK51(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299420]) ).
tcf(c_301714,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK131(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK51(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299420]) ).
tcf(c_301715,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK131(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK51(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299420]) ).
tcf(c_301716,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK131(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_299420]) ).
tcf(c_301717,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299420,c_283429]) ).
tcf(c_301718,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vask(sK50(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299420,c_283491]) ).
tcf(c_301769,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( vB(vno) = X0_vAval )
| ( sK104(X0_vAval) = X1_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_280854,c_283892]) ).
tcf(c_301775,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(vno) = X0_vAval )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_283892,c_261]) ).
tcf(c_301776,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vB(X0_vYN) = vB(vno) )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283892,c_289397]) ).
tcf(c_301777,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vB(vno) = X0_vAval )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK127(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_283892,c_295429]) ).
tcf(c_301778,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vB(vno) = X0_vAval )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK104(vB(X0_vYN)) = vno ) ),
inference(superposition,[status(thm)],[c_283892,c_289397]) ).
tcf(c_301779,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(vno) = X1_vAval )
| ( vB(vno) = X0_vAval )
| ( sK104(X1_vAval) = X0_vYN )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_283892,c_283892]) ).
tcf(c_301780,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vB(vno) = X1_vAval )
| ( vB(vyes) = X0_vAval )
| ( sK104(X1_vAval) = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_283892,c_282431]) ).
tcf(c_301781,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( vB(vno) = X0_vAval )
| ( sK104(X1_vAval) = vno )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(sK104(X0_vAval)) = X1_vAval ) ),
inference(superposition,[status(thm)],[c_283892,c_261]) ).
tcf(c_301789,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(light_normalisation,[status(thm)],[c_301776,c_268]) ).
tcf(c_301790,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_301789,c_367,c_296]) ).
tcf(c_301838,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vno )
| ( X2_vYN = X3_vYN )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X1_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_280854,c_283898]) ).
tcf(c_301847,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_289503,c_283898]) ).
tcf(c_301851,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_261,c_283898]) ).
tcf(c_301852,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( sK127(vB(X1_vYN)) = X0_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_295429]) ).
tcf(c_301853,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( sK104(vB(X1_vYN)) = X0_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_289397]) ).
tcf(c_301855,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vB(vno) = X0_vAval )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_261]) ).
tcf(c_301856,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vyes )
| ( vB(X1_vYN) = vB(vno) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_289185]) ).
tcf(c_301860,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vyes )
| ( vreduce(vqcond(vconstant(vB(vno)),X2_vQuestionnaire,X3_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vsomeQConf(vQC(X1_vAnsMap,X1_vQMap,X2_vQuestionnaire)) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_60]) ).
tcf(c_301861,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap,X2_vYN: vYN,X2_vQuestionnaire: vQuestionnaire,X3_vYN: vYN,X3_vQuestionnaire: vQuestionnaire] :
( ( X2_vYN = X3_vYN )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X3_vYN )
| ( vreduce(vqcond(vconstant(vB(X1_vYN)),X2_vQuestionnaire,X3_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vsomeQConf(vQC(X1_vAnsMap,X1_vQMap,X3_vQuestionnaire)) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_283898]) ).
tcf(c_301862,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = X2_vYN )
| ( vB(X1_vYN) = vB(X2_vYN) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_290457]) ).
tcf(c_301863,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vno )
| ( X1_vYN = X3_vYN )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X2_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_280854]) ).
tcf(c_301865,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = X1_vYN )
| ( vreduce(vqcond(vconstant(vB(X1_vYN)),X2_vQuestionnaire,X3_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vsomeQConf(vQC(X1_vAnsMap,X1_vQMap,X3_vQuestionnaire)) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_59]) ).
tcf(c_301866,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vreduce(vqcond(vconstant(vB(sK127(vB(X0_vYN)))),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_295429]) ).
tcf(c_301867,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vreduce(vqcond(vconstant(vB(sK104(vB(X0_vYN)))),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_289397]) ).
tcf(c_301869,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( vB(vyes) = X0_vAval )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vreduce(vqcond(vconstant(vB(sK104(X0_vAval))),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_282431]) ).
tcf(c_301870,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval )
| ( vreduce(vqcond(vconstant(vB(sK104(X0_vAval))),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_261]) ).
tcf(c_301875,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( vreduce(vqcond(vconstant(vB(vyes)),X2_vQuestionnaire,X3_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vsomeQConf(vQC(X1_vAnsMap,X1_vQMap,X3_vQuestionnaire)) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_60]) ).
tcf(c_301876,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap,X2_vYN: vYN,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X2_vYN )
| ( vreduce(vqcond(vconstant(vB(vno)),X2_vQuestionnaire,X3_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vsomeQConf(vQC(X1_vAnsMap,X1_vQMap,X3_vQuestionnaire)) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_283898]) ).
tcf(c_301880,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( vreduce(vqcond(vconstant(vB(vno)),X2_vQuestionnaire,X3_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vsomeQConf(vQC(X1_vAnsMap,X1_vQMap,X3_vQuestionnaire)) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_59]) ).
tcf(c_301881,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = X1_vYN )
| ( sK127(vB(X1_vYN)) = vno )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_295429]) ).
tcf(c_301882,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = X1_vYN )
| ( sK104(vB(X1_vYN)) = vno )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_289397]) ).
tcf(c_301883,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vB(vno) = X0_vAval )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_283892]) ).
tcf(c_301885,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_261]) ).
tcf(c_301886,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( vyes = vno )
| ( vB(X1_vYN) = vB(vno) )
| ( vB(X0_vYN) = vB(X1_vYN) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_289185]) ).
tcf(c_301887,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( vyes = vno )
| ( X1_vYN = vno )
| ( vB(X0_vYN) = vB(X1_vYN) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_289503]) ).
tcf(c_301889,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vyes = vno )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) )
| ( X0_vYN != vno ) ),
inference(superposition,[status(thm)],[c_283898,c_80]) ).
tcf(c_301890,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( vyes = vno )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X2_vQuestionnaire,X3_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vsomeQConf(vQC(X1_vAnsMap,X1_vQMap,X3_vQuestionnaire)) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_60]) ).
tcf(c_301897,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( sK161(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283898,c_431]) ).
tcf(c_301898,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283898,c_430]) ).
tcf(c_301909,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) )
| ( X0_vYN != vno ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_301889,c_80]) ).
tcf(c_301933,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( vB(X0_vYN) = vB(X1_vYN) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_301887,c_80]) ).
tcf(c_301941,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( vB(X1_vYN) = vB(vno) )
| ( vB(X0_vYN) = vB(X1_vYN) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_301886,c_80]) ).
tcf(c_301960,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( ( vreduce(vqcond(vconstant(vB(X0_vYN)),X2_vQuestionnaire,X3_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vsomeQConf(vQC(X1_vAnsMap,X1_vQMap,X3_vQuestionnaire)) )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_301890,c_80]) ).
tcf(c_302109,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X0_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(light_normalisation,[status(thm)],[c_283899,c_287328]) ).
tcf(c_302128,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X1_vYN: vYN,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vYN = vno )
| ( X0_vATMap = X2_vATMap )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_302109,c_281042]) ).
tcf(c_302129,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X1_vYN: vYN,X1_vATMap: vATMap,X2_vATMap: vATMap,X3_vATMap: vATMap] :
( ( X1_vATMap = X3_vATMap )
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X2_vATMap,X3_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_302109,c_281037]) ).
tcf(c_302130,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X1_vYN: vYN,X1_vATMap: vATMap] :
( ( X1_vYN = vno )
| ( X0_vATMap = sK35 )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_302109,c_281032]) ).
tcf(c_302131,plain,
! [X0_vYN: vYN,X0_vATMap: vATMap,X1_vYN: vYN,X1_vATMap: vATMap] :
( ( X1_vATMap = sK31 )
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(X0_vATMap,X1_vATMap))
| ~ vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_302109,c_281027]) ).
tcf(c_302132,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq1,vMC(sK40(sK46(vMC(vtypeAM(sK34),vtypeQM(sK33))),vq1,sK45(vMC(vtypeAM(sK34),vtypeQM(sK33)))),sK41(sK46(vMC(vtypeAM(sK34),vtypeQM(sK33))),vq1,sK45(vMC(vtypeAM(sK34),vtypeQM(sK33))))))
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_302109,c_281008]) ).
tcf(c_302133,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vq2,vMC(sK38(sK46(vMC(vtypeAM(sK34),vtypeQM(sK33))),sK45(vMC(vtypeAM(sK34),vtypeQM(sK33))),vq2),sK39(sK46(vMC(vtypeAM(sK34),vtypeQM(sK33))),sK45(vMC(vtypeAM(sK34),vtypeQM(sK33))),vq2)))
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_302109,c_281005]) ).
tcf(c_302173,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID )
| ( sK131(vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap)) = sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_284,c_299422]) ).
tcf(c_302174,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK131(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK119(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299422]) ).
tcf(c_302175,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK131(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK119(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299422]) ).
tcf(c_302176,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK118(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK131(vlookupQMap(sK118(sK121(X0_vQMap)),X0_vQMap)) = sK119(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299422]) ).
tcf(c_302177,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_290912,c_299422]) ).
tcf(c_302178,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299422,c_283429]) ).
tcf(c_302179,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vask(sK118(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299422,c_283491]) ).
tcf(c_302200,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID )
| ( sK131(vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap)) = X0_vLabel ) ),
inference(light_normalisation,[status(thm)],[c_302173,c_290921,c_291609]) ).
tcf(c_302254,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(vno) = X1_vAval )
| ( sK104(X1_vAval) = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_283892,c_283908]) ).
tcf(c_302257,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X1_vYN) = X0_vAval )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283898,c_283908]) ).
tcf(c_302275,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( vyes = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(superposition,[status(thm)],[c_283908,c_289185]) ).
tcf(c_302278,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vAval: vAval] :
( ( X0_vAval = X1_vAval )
| ( X0_vYN = vno )
| ( sK104(X1_vAval) = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_283908]) ).
tcf(c_302281,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( sK127(X0_vAval) = X0_vYN )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_295429]) ).
tcf(c_302288,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( sK104(X0_vAval) = vno )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_289397]) ).
tcf(c_302290,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vAval: vAval] :
( ( X0_vYN = vno )
| ( sK104(X1_vAval) = X0_vYN )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( X0_vAval != X1_vAval ) ),
inference(superposition,[status(thm)],[c_283908,c_282437]) ).
tcf(c_302298,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_268]) ).
tcf(c_302302,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_283908,c_70]) ).
tcf(c_302303,plain,
! [X0_vAval: vAval,X1_vAval: vAval] :
( ( X0_vAval = X1_vAval )
| ( sK104(X1_vAval) = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X1_vAval) = vText )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_261]) ).
tcf(c_302304,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = X0_vAval )
| ( sK104(sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vno )
| ( vtypeOf(sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vText )
| ( vtypeOf(sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_287389]) ).
tcf(c_302305,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = X0_vAval )
| ( sK104(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vno )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vText )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_286903]) ).
tcf(c_302306,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = X0_vAval )
| ( sK104(sK124(vsomeAval(X0_vAval))) = vno )
| ( vtypeOf(sK124(vsomeAval(X0_vAval))) = vText )
| ( vtypeOf(sK124(vsomeAval(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_292900]) ).
tcf(c_302307,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = X0_vAval )
| ( sK104(sK156(vconstant(X0_vAval))) = vno )
| ( vtypeOf(sK156(vconstant(X0_vAval))) = vText )
| ( vtypeOf(sK156(vconstant(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_285935]) ).
tcf(c_302308,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = X0_vAval )
| ( sK104(sK155(vconstant(X0_vAval))) = vno )
| ( vtypeOf(sK155(vconstant(X0_vAval))) = vText )
| ( vtypeOf(sK155(vconstant(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_285742]) ).
tcf(c_302309,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vYN = vno )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vsomeAval(vB(X0_vYN)) )
| ( vreduceExp(vqvar(X0_vQID),X0_vAnsMap) = vnoExp )
| ( sK104(sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap))) = vno )
| ( vtypeOf(sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap))) = vText )
| ( vtypeOf(sK125(vlookupAnsMap(X0_vQID,X0_vAnsMap))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_283165]) ).
tcf(c_302310,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = X0_vAval )
| ( sK104(sK125(vsomeAval(X0_vAval))) = vno )
| ( vtypeOf(sK125(vsomeAval(X0_vAval))) = vText )
| ( vtypeOf(sK125(vsomeAval(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_292695]) ).
tcf(c_302311,plain,
! [X0_vYN: vYN,X0_vExp: vExp] :
( ( X0_vYN = vno )
| ( sK154(X0_vExp) = X0_vExp )
| ( vB(X0_vYN) = sK155(X0_vExp) )
| ( sK104(sK156(X0_vExp)) = vno )
| ( vtypeOf(sK156(X0_vExp)) = vText )
| ( vtypeOf(sK156(X0_vExp)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_285933]) ).
tcf(c_302312,plain,
! [X0_vYN: vYN,X0_vExp: vExp] :
( ( X0_vYN = vno )
| ( sK154(X0_vExp) = X0_vExp )
| ( sK104(sK156(X0_vExp)) = vno )
| ( vtypeOf(sK156(X0_vExp)) = vText )
| ( vtypeOf(sK156(X0_vExp)) = vNumber )
| ( vconstant(vB(X0_vYN)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_283908,c_282214]) ).
tcf(c_302313,plain,
! [X0_vYN: vYN,X0_vExp: vExp] :
( ( X0_vYN = vno )
| ( sK154(X0_vExp) = X0_vExp )
| ( sK104(sK155(X0_vExp)) = vno )
| ( vtypeOf(sK155(X0_vExp)) = vText )
| ( vtypeOf(sK155(X0_vExp)) = vNumber )
| ( vconstant(vB(X0_vYN)) = X0_vExp ) ),
inference(superposition,[status(thm)],[c_283908,c_282182]) ).
tcf(c_302314,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = X0_vAval )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( vNum(sK128(X0_vAval)) = X0_vAval )
| ( sK104(vT(sK129(X0_vAval))) = vno )
| ( vtypeOf(vT(sK129(X0_vAval))) = vText )
| ( vtypeOf(vT(sK129(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_365]) ).
tcf(c_302315,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(X0_vYN) = X0_vAval )
| ( vB(sK127(X0_vAval)) = X0_vAval )
| ( sK104(vNum(sK128(X0_vAval))) = vno )
| ( vtypeOf(vNum(sK128(X0_vAval))) = vText )
| ( vtypeOf(vNum(sK128(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_283335]) ).
tcf(c_302317,plain,
! [X0_vYN: vYN,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = sK124(X0_vOptAval) )
| ( sK104(sK125(X0_vOptAval)) = vno )
| ( vtypeOf(sK125(X0_vOptAval)) = vText )
| ( vtypeOf(sK125(X0_vOptAval)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_292875]) ).
tcf(c_302318,plain,
! [X0_vYN: vYN,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( X0_vYN = vno )
| ( sK104(sK125(X0_vOptAval)) = vno )
| ( vtypeOf(sK125(X0_vOptAval)) = vText )
| ( vtypeOf(sK125(X0_vOptAval)) = vNumber )
| ( vsomeAval(vB(X0_vYN)) = X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_283908,c_281967]) ).
tcf(c_302319,plain,
! [X0_vYN: vYN,X0_vOptAval: vOptAval] :
( ( X0_vOptAval = vnoAval )
| ( X0_vYN = vno )
| ( sK104(sK124(X0_vOptAval)) = vno )
| ( vtypeOf(sK124(X0_vOptAval)) = vText )
| ( vtypeOf(sK124(X0_vOptAval)) = vNumber )
| ( vsomeAval(vB(X0_vYN)) = X0_vOptAval ) ),
inference(superposition,[status(thm)],[c_283908,c_351]) ).
tcf(c_302332,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval )
| ( sK104(vT(sK106(X0_vAval))) = vno )
| ( vtypeOf(vT(sK106(X0_vAval))) = vText )
| ( vtypeOf(vT(sK106(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_264]) ).
tcf(c_302333,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(X0_vYN) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( sK104(vT(sK106(X0_vAval))) = vno )
| ( vtypeOf(vT(sK106(X0_vAval))) = vText )
| ( vtypeOf(vT(sK106(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_262]) ).
tcf(c_302334,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( sK104(vT(sK106(X0_vAval))) = vno )
| ( vtypeOf(vT(sK106(X0_vAval))) = vText )
| ( vtypeOf(vT(sK106(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_260]) ).
tcf(c_302335,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vB(X0_vYN) = X0_vAval )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( sK104(vT(sK106(X0_vAval))) = vno )
| ( vtypeOf(vT(sK106(X0_vAval))) = vText )
| ( vtypeOf(vT(sK106(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_258]) ).
tcf(c_302336,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vB(X0_vYN) = X0_vAval )
| ( sK104(vNum(sK105(X0_vAval))) = vno )
| ( vtypeOf(vNum(sK105(X0_vAval))) = vText )
| ( vtypeOf(vNum(sK105(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_263]) ).
tcf(c_302337,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vB(X0_vYN) = X0_vAval )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( sK104(vNum(sK105(X0_vAval))) = vno )
| ( vtypeOf(vNum(sK105(X0_vAval))) = vText )
| ( vtypeOf(vNum(sK105(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_259]) ).
tcf(c_302338,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval )
| ( sK104(vB(sK104(X0_vAval))) = vno )
| ( vtypeOf(vB(sK104(X0_vAval))) = vText )
| ( vtypeOf(vB(sK104(X0_vAval))) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_261]) ).
tcf(c_302339,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK90(X0_vAnsMap)) = vno )
| ( vtypeOf(sK90(X0_vAnsMap)) = vText )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vsomeAval(vB(X0_vYN)) = vsomeAval(sK48(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_283908,c_294723]) ).
tcf(c_302340,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK90(X0_vAnsMap)) = vno )
| ( vtypeOf(sK90(X0_vAnsMap)) = vText )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vtypeOf(vB(X0_vYN)) = vtypeOf(sK48(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_283908,c_290385]) ).
tcf(c_302341,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vYN = vno )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vB(X0_vYN) = sK48(X0_vAnsMap) )
| ( sK104(sK90(X0_vAnsMap)) = vno )
| ( vtypeOf(sK90(X0_vAnsMap)) = vText )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_287674]) ).
tcf(c_302342,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = sK48(X0_vAnsMap) )
| ( sK104(sK90(X0_vAnsMap)) = vno )
| ( vtypeOf(sK90(X0_vAnsMap)) = vText )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_286969]) ).
tcf(c_302343,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK90(X0_vAnsMap)) = vno )
| ( vtypeOf(sK90(X0_vAnsMap)) = vText )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vabind(sK89(X0_vAnsMap),vB(X0_vYN),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_283908,c_238]) ).
tcf(c_302345,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vYN = vno )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK104(sK48(X0_vAnsMap)) = vno )
| ( vtypeOf(sK48(X0_vAnsMap)) = vText )
| ( vtypeOf(sK48(X0_vAnsMap)) = vNumber )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),vB(X0_vYN),sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283908,c_3396]) ).
tcf(c_302346,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK48(X0_vAnsMap)) = vno )
| ( vtypeOf(sK48(X0_vAnsMap)) = vText )
| ( vtypeOf(sK48(X0_vAnsMap)) = vNumber )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),vB(X0_vYN),sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283908,c_3355]) ).
tcf(c_302347,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vYN = vno )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK104(sK48(X0_vAnsMap)) = vno )
| ( vtypeOf(sK48(X0_vAnsMap)) = vText )
| ( vtypeOf(sK48(X0_vAnsMap)) = vNumber )
| ( vabind(sK47(X0_vAnsMap),vB(X0_vYN),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_283908,c_85]) ).
tcf(c_302348,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK48(X0_vAnsMap)) = vno )
| ( vtypeOf(sK48(X0_vAnsMap)) = vText )
| ( vtypeOf(sK48(X0_vAnsMap)) = vNumber )
| ( vabind(sK47(X0_vAnsMap),vB(X0_vYN),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_283908,c_83]) ).
tcf(c_302349,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X1_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X2_vYN = vno )
| ( X1_vYN = vno )
| ( X0_vYN = X2_vYN )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_301542]) ).
tcf(c_302350,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = X2_vYN )
| ( sK104(vB(X2_vYN)) = vno )
| ( vtypeOf(vB(X2_vYN)) = vText )
| ( vtypeOf(vB(X2_vYN)) = vNumber )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_283908,c_70]) ).
tcf(c_302366,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X1_vYN) = X0_vAval )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_283908]) ).
tcf(c_302367,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X2_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X2_vYN = vno )
| ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_302109]) ).
tcf(c_302368,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vno )
| ( sK104(vB(X1_vYN)) = vno )
| ( vtypeOf(vB(X1_vYN)) = vText )
| ( vtypeOf(vB(X1_vYN)) = vNumber )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283908,c_283898]) ).
tcf(c_302369,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( sK127(vB(X1_vYN)) = X0_vYN )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_295429]) ).
tcf(c_302371,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vyes )
| ( vB(X1_vYN) = vB(vno) )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_290457]) ).
tcf(c_302372,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( vB(X1_vYN) = vB(vyes) )
| ( vB(X0_vYN) = vB(vno) )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_289185]) ).
tcf(c_302373,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK104(vB(X1_vYN)) = vno )
| ( vtypeOf(vB(X1_vYN)) = vText )
| ( vtypeOf(vB(X1_vYN)) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_283908,c_282526]) ).
tcf(c_302374,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( sK104(vB(X1_vYN)) = vno )
| ( vtypeOf(vB(X1_vYN)) = vText )
| ( vtypeOf(vB(X1_vYN)) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_283908,c_282487]) ).
tcf(c_302375,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( vB(X1_vYN) = vB(vyes) )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_289503]) ).
tcf(c_302376,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( sK104(vB(X1_vYN)) = X0_vYN )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_289397]) ).
tcf(c_302377,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( sK104(vB(X1_vYN)) = vno )
| ( vtypeOf(vB(X1_vYN)) = vText )
| ( vtypeOf(vB(X1_vYN)) = vNumber )
| ( vNum(sK105(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_283908,c_282465]) ).
tcf(c_302378,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X0_vYN = vno )
| ( sK104(X0_vAval) = X1_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK104(vB(X1_vYN)) = vno )
| ( vtypeOf(vB(X1_vYN)) = vText )
| ( vtypeOf(vB(X1_vYN)) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_283908,c_282437]) ).
tcf(c_302379,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vNumber )
| ( sK104(vB(X1_vYN)) = vno )
| ( vtypeOf(vB(X1_vYN)) = vText )
| ( vtypeOf(vB(X1_vYN)) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_283908,c_282405]) ).
tcf(c_302380,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X0_vYN = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( sK104(vB(X1_vYN)) = vno )
| ( vtypeOf(vB(X1_vYN)) = vText )
| ( vtypeOf(vB(X1_vYN)) = vNumber )
| ( vB(sK104(X0_vAval)) = X0_vAval )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_283908,c_282383]) ).
tcf(c_302383,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( sK104(vB(X1_vYN)) = vno )
| ( vtypeOf(vB(X1_vYN)) = vText )
| ( vtypeOf(vB(X1_vYN)) = vNumber )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283908,c_281075]) ).
tcf(c_302386,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X1_vYN)) = vYesNo )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_268]) ).
tcf(c_302387,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X1_vYN = X2_vYN )
| ( X0_vYN = vno )
| ( sK104(vB(X2_vYN)) = vno )
| ( vtypeOf(vB(X2_vYN)) = vText )
| ( vtypeOf(vB(X2_vYN)) = vNumber )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_283908,c_70]) ).
tcf(c_302391,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( sK104(vB(vyes)) = vno )
| ( vtypeOf(vB(vyes)) = vText )
| ( vtypeOf(vB(vyes)) = vNumber )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283908,c_60]) ).
tcf(c_302392,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vyes )
| ( vB(X0_vYN) = vB(X1_vYN) )
| ( sK104(vB(vno)) = vno )
| ( vtypeOf(vB(vno)) = vText )
| ( vtypeOf(vB(vno)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_290457]) ).
tcf(c_302393,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( sK104(vB(vno)) = vno )
| ( vtypeOf(vB(vno)) = vText )
| ( vtypeOf(vB(vno)) = vNumber )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_283908,c_59]) ).
tcf(c_302409,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( vtypeOf(vB(X0_vYN)) = vYesNo ) ),
inference(light_normalisation,[status(thm)],[c_302386,c_268,c_289397]) ).
tcf(c_302410,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( sK104(vB(X0_vYN)) = X1_vYN ) ),
inference(light_normalisation,[status(thm)],[c_302376,c_268,c_289397]) ).
tcf(c_302411,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(light_normalisation,[status(thm)],[c_302410,c_289397]) ).
tcf(c_302426,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_302275,c_80]) ).
tcf(c_302432,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(vyes) ) ),
inference(light_normalisation,[status(thm)],[c_302375,c_268,c_289397]) ).
tcf(c_302434,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(light_normalisation,[status(thm)],[c_302371,c_268,c_289397]) ).
tcf(c_302496,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( vB(X1_vYN) = vB(vyes) )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(light_normalisation,[status(thm)],[c_302372,c_268,c_289397]) ).
tcf(c_302497,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( vB(X1_vYN) = vB(vyes) )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_302496,c_367,c_296]) ).
tcf(c_302502,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK90(X0_vAnsMap)) = vno )
| ( vtypeOf(sK90(X0_vAnsMap)) = vText )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vtypeOf(sK48(X0_vAnsMap)) = vYesNo ) ),
inference(light_normalisation,[status(thm)],[c_302340,c_268]) ).
tcf(c_302653,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X2_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X2_vYN = vno )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(light_normalisation,[status(thm)],[c_302367,c_268,c_289397]) ).
tcf(c_302664,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval ) ),
inference(light_normalisation,[status(thm)],[c_302366,c_268,c_289397]) ).
tcf(c_302872,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK130(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK50(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299588]) ).
tcf(c_302873,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK130(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK50(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299588]) ).
tcf(c_302874,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK130(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK50(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299588]) ).
tcf(c_302875,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK130(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_291342,c_299588]) ).
tcf(c_302876,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK50(X0_vQMap),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299588,c_283429]) ).
tcf(c_302877,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vask(sK50(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK50(X0_vQMap),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299588,c_283491]) ).
tcf(c_302915,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID )
| ( sK130(vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vQMap)) = sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_284,c_299590]) ).
tcf(c_302916,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK130(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK118(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299590]) ).
tcf(c_302917,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK118(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK130(vlookupQMap(sK118(sK53(X0_vQMap)),X0_vQMap)) = sK118(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299590]) ).
tcf(c_302918,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK118(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK130(vlookupQMap(sK118(sK121(X0_vQMap)),X0_vQMap)) = sK118(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299590]) ).
tcf(c_302920,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK118(X0_vQMap),sK131(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299590,c_283429]) ).
tcf(c_302921,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vask(sK118(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK118(X0_vQMap),sK131(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299590,c_283491]) ).
tcf(c_302940,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID )
| ( sK130(vlookupQMap(sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap)) = sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) ) ),
inference(light_normalisation,[status(thm)],[c_302915,c_290921]) ).
tcf(c_303265,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( sK145(vask(sK145(vask(X0_vQID)))) = X1_vQID )
| ( vask(X0_vQID) != vask(X1_vQID) ) ),
inference(superposition,[status(thm)],[c_300115,c_300137]) ).
tcf(c_303266,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( sK145(vask(X0_vQID)) = sK145(vask(X1_vQID)) )
| ( vask(X0_vQID) != vask(X1_vQID) ) ),
inference(superposition,[status(thm)],[c_300115,c_300137]) ).
tcf(c_303267,plain,
! [X0_vQID: vQID] : sK145(vask(X0_vQID)) = X0_vQID,
inference(equality_resolution,[status(thm)],[c_300137]) ).
tcf(c_303281,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(sK155(X0_vExp)) = vconstant(vB(vyes)) )
| ( vreduce(vqcond(vconstant(sK155(X0_vExp)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282182,c_283996]) ).
tcf(c_303282,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(sK156(X0_vExp)) = vconstant(vB(vyes)) )
| ( vreduce(vqcond(vconstant(sK156(X0_vExp)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282214,c_283996]) ).
tcf(c_303506,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vText )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_300579]) ).
tcf(c_303507,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = X0_vAType )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_300579]) ).
tcf(c_303508,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_300579]) ).
tcf(c_303513,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK135(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK120(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_300579]) ).
tcf(c_303514,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK135(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK120(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_300579]) ).
tcf(c_303515,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK135(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK120(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_300579]) ).
tcf(c_303516,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK135(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_300579]) ).
tcf(c_303517,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_300579,c_298854]) ).
tcf(c_303518,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_300579,c_377]) ).
tcf(c_303569,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( sK148(vqvar(sK148(vqvar(X0_vQID)))) = X1_vQID )
| ( vqvar(X0_vQID) != vqvar(X1_vQID) ) ),
inference(superposition,[status(thm)],[c_300709,c_300762]) ).
tcf(c_303570,plain,
! [X0_vQID: vQID,X1_vQID: vQID] :
( ( sK148(vqvar(X0_vQID)) = sK148(vqvar(X1_vQID)) )
| ( vqvar(X0_vQID) != vqvar(X1_vQID) ) ),
inference(superposition,[status(thm)],[c_300709,c_300762]) ).
tcf(c_303571,plain,
! [X0_vQID: vQID] : sK148(vqvar(X0_vQID)) = X0_vQID,
inference(equality_resolution,[status(thm)],[c_300762]) ).
tcf(c_303844,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK159(X0_vQuestionnaire,vconstant(sK155(X0_vExp)),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(sK155(X0_vExp)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282182,c_284050]) ).
tcf(c_303845,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK159(X0_vQuestionnaire,vconstant(sK156(X0_vExp)),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(sK156(X0_vExp)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282214,c_284050]) ).
tcf(c_303903,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vText )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_301063]) ).
tcf(c_303904,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = X0_vAType )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_301063]) ).
tcf(c_303905,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_301063]) ).
tcf(c_303909,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK132(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK120(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_301063]) ).
tcf(c_303910,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK132(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK120(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_301063]) ).
tcf(c_303911,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK132(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK120(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_301063]) ).
tcf(c_303912,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK132(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_301063]) ).
tcf(c_303913,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_301063,c_283429]) ).
tcf(c_303914,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vask(sK50(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_301063,c_283491]) ).
tcf(c_304240,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK134(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK119(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_301407]) ).
tcf(c_304241,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK134(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK119(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_301407]) ).
tcf(c_304242,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK134(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK119(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_301407]) ).
tcf(c_304243,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK134(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_301407]) ).
tcf(c_304244,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_301407,c_299118]) ).
tcf(c_304245,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),vText) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_301407,c_283462]) ).
tcf(c_304246,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_301407,c_377]) ).
tcf(c_304391,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK160(X0_vQuestionnaire,vconstant(sK155(X0_vExp)),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(sK155(X0_vExp)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282182,c_284103]) ).
tcf(c_304392,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK160(X0_vQuestionnaire,vconstant(sK156(X0_vExp)),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(sK156(X0_vExp)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282214,c_284103]) ).
tcf(c_304442,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK53(X0_vQMap) = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK131(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK119(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_302177]) ).
tcf(c_304443,plain,
! [X0_vQMap: vQMap] :
( ( sK53(X0_vQMap) = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( sK131(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK119(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_302177]) ).
tcf(c_304444,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK121(X0_vQMap) = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( sK131(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK119(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_302177]) ).
tcf(c_304445,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK131(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_302177]) ).
tcf(c_304446,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_302177,c_283429]) ).
tcf(c_304447,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vreduce(vqsingle(vask(sK50(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_302177,c_283491]) ).
tcf(c_304489,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = vqempty )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQConf(sK162(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_286872,c_284154]) ).
tcf(c_304490,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) )
| ( vreduce(vqseq(vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_59,c_284154]) ).
tcf(c_304491,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) )
| ( vreduce(vqseq(vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_60,c_284154]) ).
tcf(c_304492,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vqseq(vqempty,X0_vQuestionnaire) = vqempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) )
| ( vreduce(vqseq(vqseq(vqempty,X0_vQuestionnaire),X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_67,c_284154]) ).
tcf(c_304496,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283898,c_284154]) ).
tcf(c_304497,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_281075,c_284154]) ).
tcf(c_304502,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) )
| ( vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))) = vqempty )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282686,c_284154]) ).
tcf(c_304503,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) )
| ( vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))) = vqempty )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282685,c_284154]) ).
tcf(c_304504,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) )
| ( vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))) = vqempty )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK121(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282687,c_284154]) ).
tcf(c_304509,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vOptQConf = vnoQConf )
| ( X0_vQuestionnaire = vqempty )
| ( sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) = sK167(X0_vOptQConf) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_284154,c_282936]) ).
tcf(c_304510,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( ( X0_vQuestionnaire = vqempty )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty) = sK167(vreduce(X0_vQuestionnaire,X1_vAnsMap,X1_vQMap)) )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vreduce(X0_vQuestionnaire,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_284154,c_282693]) ).
tcf(c_304511,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vOptQConf = vnoQConf )
| ( X0_vQuestionnaire = vqempty )
| ( sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) = sK162(X0_vOptQConf) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_284154,c_282658]) ).
tcf(c_304512,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = vqempty )
| ( sK162(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) = sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284154,c_287077]) ).
tcf(c_304513,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(sK42(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)))),vtypeQM(sK43(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))))),sK44(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))),vMC(X0_vATMap,X1_vATMap))
| ( X0_vQuestionnaire = vqempty )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_284154,c_281084]) ).
tcf(c_304514,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(sK42(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)))),vtypeQM(sK43(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))))),sK44(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))),vMC(X0_vATMap,X1_vATMap))
| ( X0_vQuestionnaire = vqempty )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_284154,c_281059]) ).
tcf(c_304515,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = vqempty )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != vnoQConf ) ),
inference(superposition,[status(thm)],[c_284154,c_435]) ).
tcf(c_304516,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = vqempty )
| ( sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) = X0_vQConf )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_284154,c_68]) ).
tcf(c_304519,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = vqempty )
| ( vsomeQConf(sK167(vnoQConf)) = vnoQConf )
| ( vqseq(X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284154,c_284154]) ).
tcf(c_304520,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vnoQConf)
| ( X0_vQuestionnaire = vqempty )
| ( sK161(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284154,c_431]) ).
tcf(c_304521,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vnoQConf)
| ( X0_vQuestionnaire = vqempty )
| ( vqseq(X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284154,c_430]) ).
tcf(c_304532,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) )
| ( vreduce(vqseq(vqseq(vqempty,X0_vQuestionnaire),X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304492,c_101]) ).
tcf(c_304549,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = vqempty )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304521,c_434,c_101]) ).
tcf(c_304553,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = vqempty )
| ( sK161(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304520,c_434]) ).
tcf(c_304558,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) )
| ( vreduce(vqseq(vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304491,c_63]) ).
tcf(c_304561,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) )
| ( vreduce(vqseq(vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304490,c_63]) ).
tcf(c_304565,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304497,c_63]) ).
tcf(c_304573,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304496,c_63]) ).
tcf(c_304578,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK121(X0_vQMap)) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304504,c_108]) ).
tcf(c_304582,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304502,c_108]) ).
tcf(c_304586,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304503,c_108]) ).
tcf(c_304707,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQConf(sK162(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_286872,c_284170]) ).
tcf(c_304708,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) )
| ( sK161(vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqseq(vqcond(vconstant(vB(vno)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_59,c_284170]) ).
tcf(c_304709,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) )
| ( sK161(vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqseq(vqcond(vconstant(vB(vyes)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_60,c_284170]) ).
tcf(c_304713,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X0_vQuestionnaire = vqempty )
| ( vsomeQConf(sK167(vnoQConf)) = vnoQConf )
| ( sK161(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284154,c_284170]) ).
tcf(c_304715,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X0_vYN = X1_vYN )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) )
| ( sK161(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283898,c_284170]) ).
tcf(c_304716,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( X0_vYN = vno )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) )
| ( sK161(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqseq(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_281075,c_284170]) ).
tcf(c_304721,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) )
| ( sK161(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282686,c_284170]) ).
tcf(c_304722,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) )
| ( sK161(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK50(X0_vQMap),sK51(X0_vQMap),sK52(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK53(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282685,c_284170]) ).
tcf(c_304723,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vsomeQConf(sK167(vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)))) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) )
| ( sK161(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqseq(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vQuestionnaire),X0_vAnsMap,sK121(X0_vQMap)) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_282687,c_284170]) ).
tcf(c_304728,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vOptQConf = vnoQConf )
| ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) = sK167(X0_vOptQConf) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_284170,c_282936]) ).
tcf(c_304729,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty) = sK167(vreduce(X0_vQuestionnaire,X1_vAnsMap,X1_vQMap)) )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) != vreduce(X0_vQuestionnaire,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_284170,c_282693]) ).
tcf(c_304730,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vOptQConf: vOptQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( X0_vOptQConf = vnoQConf )
| ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) = sK162(X0_vOptQConf) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_284170,c_282658]) ).
tcf(c_304731,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK162(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) = sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284170,c_287077]) ).
tcf(c_304732,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(sK42(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)))),vtypeQM(sK43(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))))),sK44(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))),vMC(X0_vATMap,X1_vATMap))
| ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq2,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != vreduce(vq2,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_284170,c_281084]) ).
tcf(c_304733,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vQMap: vQMap] :
( vptcheck(vMC(vtypeAM(sK42(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)))),vtypeQM(sK43(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))))),sK44(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))),vMC(X0_vATMap,X1_vATMap))
| ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ~ vptcheck(vMC(vtypeAM(X1_vAnsMap),vtypeQM(X1_vQMap)),vq1,vMC(X0_vATMap,X1_vATMap))
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != vreduce(vq1,X1_vAnsMap,X1_vQMap) ) ),
inference(superposition,[status(thm)],[c_284170,c_281059]) ).
tcf(c_304734,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != vnoQConf ) ),
inference(superposition,[status(thm)],[c_284170,c_435]) ).
tcf(c_304735,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQConf: vQConf,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap)) = X0_vQConf )
| ( vreduce(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) != vsomeQConf(X0_vQConf) ) ),
inference(superposition,[status(thm)],[c_284170,c_68]) ).
tcf(c_304739,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( vsomeQConf(sK167(vnoQConf)) = vnoQConf )
| ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vqseq(X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284170,c_284154]) ).
tcf(c_304740,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vnoQConf)
| ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK161(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284170,c_431]) ).
tcf(c_304741,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vnoQConf)
| ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vqseq(X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284170,c_430]) ).
tcf(c_304766,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304741,c_434,c_101]) ).
tcf(c_304770,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( ( sK161(X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK161(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = X2_vQuestionnaire )
| ( vsomeQConf(sK167(vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap))) = vreduce(X0_vQuestionnaire,X0_vAnsMap,X0_vQMap) )
| ( vreduce(vqseq(vqseq(X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304740,c_434]) ).
tcf(c_304922,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vbinop(vunop(X1_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp)),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285006,c_305]) ).
tcf(c_304923,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(vunop(X2_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285006,c_304]) ).
tcf(c_304925,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vUnOpT: vUnOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vunop(X0_vUnOpT,vbinop(vunop(X1_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp)),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_285006,c_302]) ).
tcf(c_304926,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vbinop(vunop(X1_vUnOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp)))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285006,c_306]) ).
tcf(c_304927,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(vunop(X2_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_304923,c_401]) ).
tcf(c_304928,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vbinop(vunop(X1_vUnOpT,vqvar(X0_vQID)),X1_vBinOpT,X1_vExp)))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_304926,c_401]) ).
tcf(c_304929,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vbinop(vunop(X1_vUnOpT,vqvar(X0_vQID)),X0_vBinOpT,X0_vExp)),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_304922,c_401]) ).
tcf(c_304942,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(X0_vMapConf,vqsingle(X0_vEntry),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_389,c_284180]) ).
tcf(c_304943,plain,
! [X0_vMapConf: vMapConf,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( sK46(X0_vMapConf) = sK46(X1_vMapConf) )
| ~ vptcheck(X0_vMapConf,vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_284180]) ).
tcf(c_304964,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( sK46(X0_vMapConf) = X1_vATMap )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_284181]) ).
tcf(c_304977,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285014,c_305]) ).
tcf(c_304978,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vunop(X2_vUnOpT,vqvar(X0_vQID)))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285014,c_304]) ).
tcf(c_304980,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vUnOpT: vUnOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_285014,c_302]) ).
tcf(c_304981,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vbinop(X1_vExp,X1_vBinOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285014,c_306]) ).
tcf(c_304982,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vunop(X2_vUnOpT,vqvar(X0_vQID)))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_304978,c_401]) ).
tcf(c_304983,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vbinop(X1_vExp,X1_vBinOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_304981,c_401]) ).
tcf(c_304984,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vunop(X1_vUnOpT,vqvar(X0_vQID)))),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_304977,c_401]) ).
tcf(c_304985,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285056,c_305]) ).
tcf(c_304986,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285056,c_304]) ).
tcf(c_304988,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vUnOpT: vUnOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_285056,c_302]) ).
tcf(c_304989,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285056,c_306]) ).
tcf(c_304990,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_304986,c_401]) ).
tcf(c_304991,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(vqvar(X0_vQID),X1_vBinOpT,X1_vExp))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_304989,c_401]) ).
tcf(c_304992,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp))),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_304985,c_401]) ).
tcf(c_305004,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)))),X1_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285064,c_305]) ).
tcf(c_305005,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285064,c_304]) ).
tcf(c_305007,plain,
! [X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vATMap: vATMap,X1_vQuestionnaire: vQuestionnaire,X1_vUnOpT: vUnOpT,X2_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqcond(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)))),X1_vQuestionnaire,X0_vQuestionnaire),vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X1_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ~ vptcheck(vMC(vatmempty,X0_vATMap),X0_vQuestionnaire,vMC(X1_vATMap,X2_vATMap))
| ( vsomeAType(vYesNo) != vnoAType ) ),
inference(superposition,[status(thm)],[c_285064,c_302]) ).
tcf(c_305008,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] :
( visSomeAType(vnoAType)
| ( vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID)))))) = vnoAType ) ),
inference(superposition,[status(thm)],[c_285064,c_306]) ).
tcf(c_305009,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] : vecheck(vatmempty,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vunop(X2_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_305005,c_401]) ).
tcf(c_305010,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(X0_vExp,X0_vBinOpT,vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(X1_vExp,X1_vBinOpT,vqvar(X0_vQID)))))) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_305008,c_401]) ).
tcf(c_305011,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT] : vecheck(vatmempty,vbinop(vunop(X0_vUnOpT,vunop(X1_vUnOpT,vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)))),X1_vBinOpT,X1_vExp)) = vnoAType,
inference(forward_subsumption_resolution,[status(thm)],[c_305004,c_401]) ).
tcf(c_305017,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK90(X0_vAnsMap)) = vno )
| ( vtypeOf(sK90(X0_vAnsMap)) = vText )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vabind(sK47(X0_vAnsMap),vB(X0_vYN),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_283908,c_287155]) ).
tcf(c_305018,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_287674,c_287155]) ).
tcf(c_305019,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_286969,c_287155]) ).
tcf(c_305020,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAval,sK91(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287389,c_287155]) ).
tcf(c_305021,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK47(X0_vAnsMap),sK90(X0_vAnsMap),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_287437,c_287155]) ).
tcf(c_305022,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK47(X0_vAnsMap),sK90(X0_vAnsMap),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_286981,c_287155]) ).
tcf(c_305023,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(sK47(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAnsMap) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287363,c_287155]) ).
tcf(c_305024,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(X0_vAnsMap)) = vYesNo )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK47(X0_vAnsMap),vText,vtypeAM(sK91(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287155,c_283378]) ).
tcf(c_305032,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vecheck(vtypeAM(sK91(X0_vAnsMap)),vqvar(X0_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_287155,c_282083]) ).
tcf(c_305044,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK47(X0_vAnsMap))) = vsomeAType(vtypeOf(sK90(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_287155,c_282095]) ).
tcf(c_305054,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,sK91(X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287155,c_357]) ).
tcf(c_305166,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(X0_vQID,sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK91(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287421,c_287162]) ).
tcf(c_305167,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK48(X0_vAnsMap)) = vno )
| ( vtypeOf(sK48(X0_vAnsMap)) = vText )
| ( vtypeOf(sK48(X0_vAnsMap)) = vNumber )
| ( vabind(sK89(X0_vAnsMap),vB(X0_vYN),sK91(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_283908,c_287162]) ).
tcf(c_305169,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vabind(sK89(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_287437,c_287162]) ).
tcf(c_305170,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK89(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_286981,c_287162]) ).
tcf(c_305171,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(sK89(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK48(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAnsMap) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287363,c_287162]) ).
tcf(c_305172,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK48(X0_vAnsMap)) = vYesNo )
| ( vtypeOf(sK48(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK89(X0_vAnsMap),vText,vtypeAM(sK91(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287162,c_283378]) ).
tcf(c_305192,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(sK89(X0_vAnsMap))) = vsomeAType(vtypeOf(sK48(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_287162,c_282095]) ).
tcf(c_305193,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vlookupAnsMap(sK89(X0_vAnsMap),X0_vAnsMap) = vsomeAval(sK48(X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_287162,c_352]) ).
tcf(c_305245,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( visSomeAval(vsomeAval(sK48(X0_vAnsMap)))
| ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(sK89(X0_vAnsMap)),vabind(X0_vQID,X0_vAval,X0_vAnsMap)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_305193,c_283177]) ).
tcf(c_305246,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vsomeAval(sK125(vsomeAval(sK48(X0_vAnsMap)))) = vsomeAval(sK48(X0_vAnsMap)) )
| ( vreduceExp(vqvar(sK89(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_305193,c_283165]) ).
tcf(c_305247,plain,
! [X0_vAnsMap: vAnsMap] :
( visSomeAval(vsomeAval(sK48(X0_vAnsMap)))
| ( X0_vAnsMap = vaempty )
| ( vreduceExp(vqvar(sK89(X0_vAnsMap)),X0_vAnsMap) = vnoExp ) ),
inference(superposition,[status(thm)],[c_305193,c_356]) ).
tcf(c_305251,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK49(X0_vAnsMap) = vaempty )
| ( sK89(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vlookupAnsMap(sK89(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK48(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_305193,c_283175]) ).
tcf(c_305252,plain,
! [X0_vAnsMap: vAnsMap] :
( ( sK49(X0_vAnsMap) = vaempty )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( sK89(sK49(X0_vAnsMap)) = sK47(X0_vAnsMap) )
| ( vlookupAnsMap(sK89(sK49(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK48(sK49(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_305193,c_283174]) ).
tcf(c_305253,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( sK91(X0_vAnsMap) = vaempty )
| ( sK89(sK91(X0_vAnsMap)) = sK89(X0_vAnsMap) )
| ( vlookupAnsMap(sK89(sK91(X0_vAnsMap)),X0_vAnsMap) = vsomeAval(sK48(sK91(X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_305193,c_283176]) ).
tcf(c_305278,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(X0_vQID,sK90(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287421,c_287229]) ).
tcf(c_305279,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK90(X0_vAnsMap)) = vno )
| ( vtypeOf(sK90(X0_vAnsMap)) = vText )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vabind(sK89(X0_vAnsMap),vB(X0_vYN),sK49(X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_283908,c_287229]) ).
tcf(c_305282,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(X0_vQID,X0_vAval,X0_vAnsMap) = vaempty )
| ( vabind(sK89(vabind(X0_vQID,X0_vAval,X0_vAnsMap)),X0_vAval,sK49(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) = vabind(X0_vQID,X0_vAval,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287389,c_287229]) ).
tcf(c_305284,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(X0_vAnsMap)) = vYesNo )
| ( vtypeOf(sK90(X0_vAnsMap)) = vNumber )
| ( vatmbind(sK89(X0_vAnsMap),vText,vtypeAM(sK49(X0_vAnsMap))) = vtypeAM(X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_287229,c_283378]) ).
tcf(c_305291,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vecheck(vtypeAM(sK49(X0_vAnsMap)),vqvar(X0_vQID)) = vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_287229,c_282083]) ).
tcf(c_305335,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] : sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vAType,
inference(light_normalisation,[status(thm)],[c_289253,c_291634]) ).
tcf(c_305340,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vatmbind(sK136(X0_vEntry),sK138(X0_vEntry),sK45(X0_vMapConf)) = X0_vATMap )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(X0_vMapConf,vqsingle(X0_vEntry),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_389,c_284274]) ).
tcf(c_305341,plain,
! [X0_vMapConf: vMapConf,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( vatmbind(X0_vQID,X0_vAType,sK45(X0_vMapConf)) = sK45(X1_vMapConf) )
| ~ vptcheck(X0_vMapConf,vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_284274]) ).
tcf(c_305362,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vask(sK145(vdefquestion(X0_vQID,X0_vLabel,X0_vAType))) = vdefquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vatmbind(sK136(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),sK138(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vATMap) = X0_vATMap )
| ( vvalue(sK139(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),sK140(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),sK141(vdefquestion(X0_vQID,X0_vLabel,X0_vAType))) = vdefquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vdefquestion(sK142(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),sK143(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),sK144(vdefquestion(X0_vQID,X0_vLabel,X0_vAType))) = vdefquestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_283538,c_284276]) ).
tcf(c_305364,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vatmbind(sK136(X0_vEntry),sK138(X0_vEntry),X0_vATMap) = sK45(X0_vMapConf) )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_284276]) ).
tcf(c_305375,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] : sK101(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = X0_vQID,
inference(light_normalisation,[status(thm)],[c_289273,c_291342]) ).
tcf(c_305387,plain,
! [X0_vMapConf: vMapConf,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vMapConf: vMapConf] :
( ( vecheck(sK45(X0_vMapConf),vqvar(X0_vQID)) = vnoAType )
| ~ vptcheck(X0_vMapConf,vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType)),X1_vMapConf) ),
inference(superposition,[status(thm)],[c_77,c_284302]) ).
tcf(c_305388,plain,
! [X0_vEntry: vEntry,X0_vMapConf: vMapConf,X0_vATMap: vATMap,X1_vATMap: vATMap] :
( ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vecheck(X0_vATMap,vqvar(sK136(X0_vEntry))) = vnoAType )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ~ vptcheck(vMC(X0_vATMap,X1_vATMap),vqsingle(X0_vEntry),X0_vMapConf) ),
inference(superposition,[status(thm)],[c_389,c_284302]) ).
tcf(c_305404,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID,X2_vAType: vAType] :
( vptcheck(vMC(vatmbind(X2_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap)),X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X2_vAType)),vMC(vatmbind(X0_vQID,X2_vAType,vatmbind(X2_vQID,X0_vAType,vatmbind(X1_vQID,X1_vAType,X0_vATMap))),X1_vATMap))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_239,c_284312]) ).
tcf(c_305406,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vatmempty),X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,vatmempty)),X0_vATMap))
| ( X0_vQID = X1_vQID ) ),
inference(superposition,[status(thm)],[c_255,c_284312]) ).
tcf(c_305407,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( vsomeAType(vtypeOf(X0_vAval)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282095,c_284312]) ).
tcf(c_305408,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,X0_vATMap),X1_vATMap),vqsingle(vquestion(sK101(X0_vATMap),X0_vLabel,X1_vAType)),vMC(vatmbind(sK101(X0_vATMap),X1_vAType,vatmbind(X0_vQID,X0_vAType,X0_vATMap)),X1_vATMap))
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vsomeAType(sK102(X0_vATMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282321,c_284312]) ).
tcf(c_305409,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap),vqsingle(vquestion(sK50(X0_vQMap),X0_vLabel,X1_vAType)),vMC(vatmbind(sK50(X0_vQMap),X1_vAType,vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vATMap))
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282097,c_284312]) ).
tcf(c_305410,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),X0_vATMap),vqsingle(vquestion(sK50(X0_vQMap),X0_vLabel,X1_vAType)),vMC(vatmbind(sK50(X0_vQMap),X1_vAType,vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vATMap))
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeAType(sK52(X0_vQMap)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282096,c_284312]) ).
tcf(c_305411,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType,X2_vQID: vQID] :
( vptcheck(vMC(vatmbind(X2_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap))),X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X2_vQID,X0_vAType,vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)))),X0_vATMap))
| ( X0_vQID = X2_vQID )
| ( X0_vQID = X1_vQID )
| ( vecheck(vtypeAM(X0_vAnsMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282083,c_284312]) ).
tcf(c_305412,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282085,c_284312]) ).
tcf(c_305413,plain,
! [X0_vATMap: vATMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap))),X0_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,vtypeQM(sK53(X0_vQMap)))),X0_vATMap))
| ( X0_vQID = X1_vQID )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vecheck(vtypeQM(X0_vQMap),vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282084,c_284312]) ).
tcf(c_305414,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X1_vQID: vQID,X1_vAType: vAType] :
( vptcheck(vMC(vatmbind(X1_vQID,X0_vAType,sK103(X0_vATMap)),X1_vATMap),vqsingle(vquestion(X0_vQID,X0_vLabel,X1_vAType)),vMC(vatmbind(X0_vQID,X1_vAType,vatmbind(X1_vQID,X0_vAType,sK103(X0_vATMap))),X1_vATMap))
| ( X0_vQID = X1_vQID )
| ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_282322,c_284312]) ).
tcf(c_305440,plain,
! [X0_vEntry: vEntry,X0_vATMap: vATMap] :
( vptcheck(vMC(vatmempty,X0_vATMap),vqsingle(X0_vEntry),vMC(vatmbind(sK136(X0_vEntry),sK138(X0_vEntry),vatmempty),X0_vATMap))
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_284314]) ).
tcf(c_305441,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( vatmbind(X0_vQID,X0_vAType,vatmempty) = X0_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vatmempty,X2_vATMap))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType))),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_284314,c_281150]) ).
tcf(c_305442,plain,
! [X0_vMapConf: vMapConf,X0_vATMap: vATMap,X0_vQuestionnaire: vQuestionnaire,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vATMap: vATMap,X2_vATMap: vATMap] :
( ( X1_vATMap = X2_vATMap )
| ~ vptcheck(X0_vMapConf,X0_vQuestionnaire,vMC(vatmempty,X2_vATMap))
| ~ vptcheck(X0_vMapConf,vqseq(X0_vQuestionnaire,vqsingle(vquestion(X0_vQID,X0_vLabel,X0_vAType))),vMC(X0_vATMap,X1_vATMap)) ),
inference(superposition,[status(thm)],[c_284314,c_281130]) ).
tcf(c_305445,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : vatmbind(X0_vQID,X0_vAType,sK45(vMC(vatmempty,X0_vATMap))) = vatmbind(X0_vQID,X0_vAType,vatmempty),
inference(superposition,[status(thm)],[c_284314,c_284274]) ).
tcf(c_305446,plain,
! [X0_vATMap: vATMap] : sK46(vMC(vatmempty,X0_vATMap)) = X0_vATMap,
inference(superposition,[status(thm)],[c_284314,c_284180]) ).
tcf(c_305448,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : sK45(vMC(vatmbind(X0_vQID,X0_vAType,vatmempty),X0_vATMap)) = vatmbind(X0_vQID,X0_vAType,vatmempty),
inference(superposition,[status(thm)],[c_284314,c_284277]) ).
tcf(c_305449,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID,X0_vAType: vAType] : sK46(vMC(vatmbind(X0_vQID,X0_vAType,vatmempty),X0_vATMap)) = X0_vATMap,
inference(superposition,[status(thm)],[c_284314,c_284182]) ).
tcf(c_305450,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vask(sK145(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vatmbind(sK136(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK138(vquestion(X0_vQID,X0_vLabel,X0_vAType)),vatmempty) = vatmbind(X0_vQID,X0_vAType,vatmempty) )
| ( vvalue(sK139(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK140(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK141(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vdefquestion(sK142(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK143(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK144(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_284314,c_284276]) ).
tcf(c_305488,plain,
! [X0_vEntry: vEntry,X1_vEntry: vEntry] :
( ( sK136(X0_vEntry) = sK136(X1_vEntry) )
| ( vask(sK145(X1_vEntry)) = X1_vEntry )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X1_vEntry),sK140(X1_vEntry),sK141(X1_vEntry)) = X1_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X1_vEntry),sK143(X1_vEntry),sK144(X1_vEntry)) = X1_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( X0_vEntry != X1_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_284339]) ).
tcf(c_305489,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK136(vquestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vQID )
| ( vask(sK145(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vvalue(sK139(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK140(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK141(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vdefquestion(sK142(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK143(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK144(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(equality_resolution,[status(thm)],[c_284339]) ).
tcf(c_305514,plain,
! [X0_vEntry: vEntry,X1_vEntry: vEntry] :
( ( sK137(X0_vEntry) = sK137(X1_vEntry) )
| ( vask(sK145(X1_vEntry)) = X1_vEntry )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X1_vEntry),sK140(X1_vEntry),sK141(X1_vEntry)) = X1_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X1_vEntry),sK143(X1_vEntry),sK144(X1_vEntry)) = X1_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( X0_vEntry != X1_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_284352]) ).
tcf(c_305515,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK137(vquestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vLabel )
| ( vask(sK145(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vvalue(sK139(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK140(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK141(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vdefquestion(sK142(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK143(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK144(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(equality_resolution,[status(thm)],[c_284352]) ).
tcf(c_305540,plain,
! [X0_vEntry: vEntry,X1_vEntry: vEntry] :
( ( sK138(X0_vEntry) = sK138(X1_vEntry) )
| ( vask(sK145(X1_vEntry)) = X1_vEntry )
| ( vask(sK145(X0_vEntry)) = X0_vEntry )
| ( vvalue(sK139(X1_vEntry),sK140(X1_vEntry),sK141(X1_vEntry)) = X1_vEntry )
| ( vvalue(sK139(X0_vEntry),sK140(X0_vEntry),sK141(X0_vEntry)) = X0_vEntry )
| ( vdefquestion(sK142(X1_vEntry),sK143(X1_vEntry),sK144(X1_vEntry)) = X1_vEntry )
| ( vdefquestion(sK142(X0_vEntry),sK143(X0_vEntry),sK144(X0_vEntry)) = X0_vEntry )
| ( X0_vEntry != X1_vEntry ) ),
inference(superposition,[status(thm)],[c_389,c_284365]) ).
tcf(c_305541,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( sK138(vquestion(X0_vQID,X0_vLabel,X0_vAType)) = X0_vAType )
| ( vask(sK145(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vvalue(sK139(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK140(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK141(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) )
| ( vdefquestion(sK142(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK143(vquestion(X0_vQID,X0_vLabel,X0_vAType)),sK144(vquestion(X0_vQID,X0_vLabel,X0_vAType))) = vquestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(equality_resolution,[status(thm)],[c_284365]) ).
tcf(c_305631,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X1_vYN) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_283908,c_289535]) ).
tcf(c_305638,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( vB(X1_vYN) = vB(X2_vYN) )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_289535]) ).
tcf(c_305689,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vno )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_289535,c_283898]) ).
tcf(c_305699,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( sK104(X0_vAval) = X1_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_289535,c_282437]) ).
tcf(c_305708,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vno )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_289535,c_70]) ).
tcf(c_305711,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X1_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X2_vYN = vno )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( X0_vYN = X2_vYN ) ),
inference(superposition,[status(thm)],[c_289535,c_301542]) ).
tcf(c_305712,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = vno )
| ( X0_vYN = X2_vYN )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_289535,c_70]) ).
tcf(c_305744,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X2_vYN = vno )
| ( X1_vYN = vno )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(light_normalisation,[status(thm)],[c_305638,c_268,c_289397]) ).
tcf(c_306121,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = vno )
| ( X0_vYN = vyes )
| ( vB(X1_vYN) = vB(X2_vYN) )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_290789]) ).
tcf(c_306134,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( vB(X1_vYN) = vB(X2_vYN) )
| ( sK104(vB(X0_vYN)) = vno )
| ( vtypeOf(vB(X0_vYN)) = vText )
| ( vtypeOf(vB(X0_vYN)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283908,c_290789]) ).
tcf(c_306187,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X2_vYN = vyes )
| ( X1_vYN = vno )
| ( X0_vYN = vyes )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_290789,c_289535]) ).
tcf(c_306188,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( sK104(X0_vAval) = vno )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_290789,c_283908]) ).
tcf(c_306189,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X2_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X2_vYN = vyes )
| ( X1_vYN = vno )
| ( X0_vYN = vyes )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_290789,c_302109]) ).
tcf(c_306191,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( sK127(vB(X0_vYN)) = X1_vYN ) ),
inference(superposition,[status(thm)],[c_290789,c_295429]) ).
tcf(c_306194,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( vB(X1_vYN) = vB(vyes) )
| ( vB(X0_vYN) = vB(vno) ) ),
inference(superposition,[status(thm)],[c_290789,c_289185]) ).
tcf(c_306197,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( vB(X0_vYN) = vB(vyes) ) ),
inference(superposition,[status(thm)],[c_290789,c_289503]) ).
tcf(c_306198,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( sK104(vB(X0_vYN)) = X1_vYN ) ),
inference(superposition,[status(thm)],[c_290789,c_289397]) ).
tcf(c_306200,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( sK104(X0_vAval) = X1_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) != X0_vAval ) ),
inference(superposition,[status(thm)],[c_290789,c_282437]) ).
tcf(c_306205,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_290789,c_281075]) ).
tcf(c_306209,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vyes )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_290789,c_70]) ).
tcf(c_306212,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X2_vYN = vyes )
| ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_290789,c_289535]) ).
tcf(c_306213,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK33)),vqcond(vconstant(vB(X1_vYN)),vq1,vq2),vMC(sK35,sK31))
| ( X2_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( X0_vYN = X2_vYN ) ),
inference(superposition,[status(thm)],[c_290789,c_301542]) ).
tcf(c_306214,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = vyes )
| ( X0_vYN = X2_vYN )
| ( vB(X0_vYN) != vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_290789,c_70]) ).
tcf(c_306215,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( sK104(X0_vAval) = vyes )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_290789,c_261]) ).
tcf(c_306216,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( X0_vYN = X1_vYN ) ),
inference(light_normalisation,[status(thm)],[c_306198,c_289397]) ).
tcf(c_306279,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X2_vYN = vno )
| ( X2_vYN = vyes )
| ( X1_vYN = vno )
| ( X0_vYN = vyes )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(light_normalisation,[status(thm)],[c_306134,c_268,c_289397]) ).
tcf(c_306281,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( vYesNo = vText )
| ( vNumber = vYesNo )
| ( X2_vYN = vno )
| ( X2_vYN = vyes )
| ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(light_normalisation,[status(thm)],[c_306121,c_268,c_289397]) ).
tcf(c_306436,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( X0_vYN = X2_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_306216]) ).
tcf(c_306448,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X2_vYN = vyes )
| ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_306216]) ).
tcf(c_306455,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vyes )
| ( X2_vYN = vyes )
| ( X1_vYN = X3_vYN )
| ( X0_vYN = X2_vYN )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_306216,c_306216]) ).
tcf(c_306456,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vyes )
| ( X2_vYN = vyes )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X3_vYN )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_306216,c_306216]) ).
tcf(c_306464,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( vyes = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( sK104(X0_vAval) = X1_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_306216,c_283908]) ).
tcf(c_306465,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vyes )
| ( vB(vno) = X0_vAval )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_306216,c_283892]) ).
tcf(c_306467,plain,
! [X0_vYN: vYN,X0_vAval: vAval] :
( ( X0_vYN = vyes )
| ( vB(vyes) = X0_vAval )
| ( sK104(X0_vAval) = X0_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber ) ),
inference(superposition,[status(thm)],[c_306216,c_261]) ).
tcf(c_306468,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vyes )
| ( X2_vYN = X3_vYN )
| ( X1_vYN = vyes )
| ( X0_vYN = X2_vYN )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_306216,c_306216]) ).
tcf(c_306470,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = X2_vYN )
| ( vB(X0_vYN) = vB(vno) )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_306216,c_289185]) ).
tcf(c_306471,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vno )
| ( vB(X0_vYN) = vB(X1_vYN) ) ),
inference(superposition,[status(thm)],[c_306216,c_289503]) ).
tcf(c_306472,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = X2_vYN )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_306216,c_81]) ).
tcf(c_306473,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = X1_vYN )
| ( X0_vYN != vno ) ),
inference(superposition,[status(thm)],[c_306216,c_80]) ).
tcf(c_306474,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire] :
( ( X1_vYN = vyes )
| ( X0_vYN = X1_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_306216,c_60]) ).
tcf(c_306493,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = X1_vYN )
| ( sK127(vB(X0_vYN)) = vyes ) ),
inference(superposition,[status(thm)],[c_306216,c_295429]) ).
tcf(c_306494,plain,
! [X0_vYN: vYN,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = X1_vYN )
| ( sK104(vB(X0_vYN)) = vyes ) ),
inference(superposition,[status(thm)],[c_306216,c_289397]) ).
tcf(c_306495,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vno )
| ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( sK104(X0_vAval) = vyes )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval ) ),
inference(superposition,[status(thm)],[c_306216,c_283908]) ).
tcf(c_306506,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vYN: vYN] :
( ( vyes = vno )
| ( X1_vYN = vyes )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X2_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(superposition,[status(thm)],[c_306216,c_283898]) ).
tcf(c_306508,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( vyes = vno )
| ( X2_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vyes )
| ( X0_vYN = X1_vYN ) ),
inference(superposition,[status(thm)],[c_306216,c_280854]) ).
tcf(c_306540,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = vyes )
| ( X0_vYN = X1_vYN ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306508,c_80]) ).
tcf(c_306582,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X1_vYN )
| ( vreduce(vqcond(vconstant(vB(X0_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306506,c_80]) ).
tcf(c_306601,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X1_vYN: vYN] :
( ( X1_vYN = vyes )
| ( X0_vYN = vno )
| ( sK104(X0_vAval) = X1_vYN )
| ( vtypeOf(X0_vAval) = vText )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vB(X0_vYN) = X0_vAval ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306464,c_80]) ).
tcf(c_306680,plain,
! [X0_vYN: vYN,X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vYN: vYN,X1_vQuestionnaire: vQuestionnaire,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vyes )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X3_vYN )
| ( vreduce(vqcond(vconstant(vB(X2_vYN)),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X1_vQuestionnaire)) )
| ( X0_vYN != X1_vYN ) ),
inference(superposition,[status(thm)],[c_283898,c_306473]) ).
tcf(c_306681,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vyes )
| ( X2_vYN = vno )
| ( X1_vYN = X2_vYN )
| ( X0_vYN = X3_vYN )
| ( X0_vYN != X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_306473]) ).
tcf(c_306682,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN,X3_vYN: vYN] :
( ( X3_vYN = vno )
| ( X2_vYN = vyes )
| ( X1_vYN = X3_vYN )
| ( X0_vYN = X2_vYN )
| ( X0_vYN != X1_vYN ) ),
inference(superposition,[status(thm)],[c_280854,c_306473]) ).
tcf(c_306686,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( vyes = vno )
| ( X2_vYN = vyes )
| ( X1_vYN = vyes )
| ( X0_vYN = X2_vYN )
| ( X0_vYN != X1_vYN ) ),
inference(superposition,[status(thm)],[c_306216,c_306473]) ).
tcf(c_306690,plain,
! [X0_vYN: vYN,X1_vYN: vYN,X2_vYN: vYN] :
( ( X2_vYN = vyes )
| ( X1_vYN = vyes )
| ( X0_vYN = X2_vYN )
| ( X0_vYN != X1_vYN ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306686,c_80]) ).
tcf(c_306813,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vQID,
inference(demodulation,[status(thm)],[c_290921,c_288742]) ).
tcf(c_306815,plain,
! [X0_vQMap: vQMap] :
( ( sK50(X0_vQMap) = sK118(X0_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_91,c_306813]) ).
tcf(c_306817,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( sK50(X0_vQMap) = sK118(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283377,c_306813]) ).
tcf(c_306825,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( vqmbind(X0_vQID,sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vText,sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_306813,c_283363]) ).
tcf(c_306828,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(X0_vQID,sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_306813,c_282739]) ).
tcf(c_306830,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))),X0_vAnsMap,sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_306813,c_282687]) ).
tcf(c_306831,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(X0_vQID,sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vtypeQM(sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_306813,c_282682]) ).
tcf(c_306832,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(X0_vQID,sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_306813,c_282]) ).
tcf(c_306839,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(X0_vQID,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vtypeQM(X0_vQMap)) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)) ) ),
inference(light_normalisation,[status(thm)],[c_306831,c_93,c_291008,c_291876]) ).
tcf(c_306840,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] : vatmbind(X0_vQID,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),vtypeQM(X0_vQMap)) = vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)),
inference(forward_subsumption_resolution,[status(thm)],[c_306839,c_281]) ).
tcf(c_306841,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(X0_vQID,X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(light_normalisation,[status(thm)],[c_306828,c_285,c_291008,c_291609]) ).
tcf(c_306842,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vsomeQuestion(X0_vQID,X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap)))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType),
inference(forward_subsumption_resolution,[status(thm)],[c_306841,c_281]) ).
tcf(c_306843,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(X0_vQID,X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_306832,c_291008,c_291609,c_291876]) ).
tcf(c_306844,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vqmbind(X0_vQID,X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))),X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_306843,c_281]) ).
tcf(c_306845,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))))),X0_vAnsMap,X0_vQMap) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap) ) ),
inference(light_normalisation,[status(thm)],[c_306830,c_283,c_291008,c_291609,c_291876]) ).
tcf(c_306846,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))))),X0_vAnsMap,X0_vQMap) = vreduce(vqsingle(vdefquestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAnsMap,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_306845,c_281]) ).
tcf(c_306847,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,vText,X0_vQMap) )
| ( sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = vYesNo )
| ( sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = vNumber ) ),
inference(light_normalisation,[status(thm)],[c_306825,c_291008,c_291609,c_291876]) ).
tcf(c_306848,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmbind(X0_vQID,X0_vLabel,vText,X0_vQMap) )
| ( sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = vYesNo )
| ( sK102(vatmbind(X0_vQID,X0_vAType,vtypeQM(X0_vQMap))) = vNumber ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_306847,c_281]) ).
tcf(c_306879,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_306815,c_299422]) ).
tcf(c_306881,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK119(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_306815,c_299121]) ).
tcf(c_306882,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_306815,c_298915]) ).
tcf(c_306883,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK120(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_306815,c_298859]) ).
tcf(c_306884,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK50(X0_vQMap),sK119(X0_vQMap),vText,sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_306815,c_283363]) ).
tcf(c_306887,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(sK50(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_306815,c_282739]) ).
tcf(c_306888,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK50(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap))),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_306815,c_282687]) ).
tcf(c_306889,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK50(X0_vQMap),sK120(X0_vQMap),vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_306815,c_282682]) ).
tcf(c_306890,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK50(X0_vQMap),sK119(X0_vQMap),sK120(X0_vQMap),sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_306815,c_282]) ).
tcf(c_307040,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) = vatmbind(X0_vQID,vText,vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty)) ) ),
inference(superposition,[status(thm)],[c_368,c_284562]) ).
tcf(c_307041,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vatmbind(X0_vQID,X0_vAType,vatmbind(X1_vQID,vtypeOf(X0_vAval),vatmempty)) = vtypeAM(vabind(X0_vQID,X1_vAval,vabind(X1_vQID,X0_vAval,vaempty))) ) ),
inference(superposition,[status(thm)],[c_283379,c_284562]) ).
tcf(c_307042,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vtypeOf(X0_vAval) = X0_vAType )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) = vatmbind(X0_vQID,vYesNo,vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty)) ) ),
inference(superposition,[status(thm)],[c_283379,c_284562]) ).
tcf(c_307043,plain,
! [X0_vstring: vstring,X0_vAval: vAval,X0_vQID: vQID,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,vT(X0_vstring),vabind(X1_vQID,X0_vAval,vaempty))) = vatmbind(X0_vQID,vText,vatmbind(X1_vQID,vtypeOf(X0_vAval),vatmempty)),
inference(superposition,[status(thm)],[c_266,c_284562]) ).
tcf(c_307044,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vnat: vnat,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,vNum(X0_vnat),vabind(X1_vQID,X0_vAval,vaempty))) = vatmbind(X0_vQID,vNumber,vatmbind(X1_vQID,vtypeOf(X0_vAval),vatmempty)),
inference(superposition,[status(thm)],[c_267,c_284562]) ).
tcf(c_307045,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X0_vQID: vQID,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,vB(X0_vYN),vabind(X1_vQID,X0_vAval,vaempty))) = vatmbind(X0_vQID,vYesNo,vatmbind(X1_vQID,vtypeOf(X0_vAval),vatmempty)),
inference(superposition,[status(thm)],[c_268,c_284562]) ).
tcf(c_307046,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vtypeOf(sK48(X0_vAnsMap)),vatmbind(X1_vQID,vtypeOf(X0_vAval),vatmempty)) = vtypeAM(vabind(X0_vQID,sK90(X0_vAnsMap),vabind(X1_vQID,X0_vAval,vaempty))) ) ),
inference(superposition,[status(thm)],[c_290385,c_284562]) ).
tcf(c_307049,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vText,vatmempty)) ) ),
inference(superposition,[status(thm)],[c_368,c_284562]) ).
tcf(c_307050,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(X1_vAval) = vYesNo )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,X0_vAType,vatmempty)) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) ) ),
inference(superposition,[status(thm)],[c_283379,c_284562]) ).
tcf(c_307051,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( vtypeOf(X1_vAval) = vNumber )
| ( vtypeOf(X1_vAval) = X0_vAType )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vYesNo,vatmempty)) ) ),
inference(superposition,[status(thm)],[c_283379,c_284562]) ).
tcf(c_307052,plain,
! [X0_vstring: vstring,X0_vAval: vAval,X0_vQID: vQID,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,vT(X0_vstring),vaempty))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vText,vatmempty)),
inference(superposition,[status(thm)],[c_266,c_284562]) ).
tcf(c_307053,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vnat: vnat,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,vNum(X0_vnat),vaempty))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vNumber,vatmempty)),
inference(superposition,[status(thm)],[c_267,c_284562]) ).
tcf(c_307054,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X0_vQID: vQID,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,vB(X0_vYN),vaempty))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vYesNo,vatmempty)),
inference(superposition,[status(thm)],[c_268,c_284562]) ).
tcf(c_307055,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vtypeOf(sK48(X0_vAnsMap)),vatmempty)) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,sK90(X0_vAnsMap),vaempty))) ) ),
inference(superposition,[status(thm)],[c_290385,c_284562]) ).
tcf(c_307056,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID,X2_vAval: vAval,X2_vQID: vQID] :
( ( vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty) = vtypeAM(X0_vAnsMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vtypeAM(vabind(X2_vQID,X2_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_284562,c_282150]) ).
tcf(c_307057,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID,X2_vAval: vAval,X2_vQID: vQID] :
( ( vtypeOf(X0_vAval) = vtypeOf(X2_vAval) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vtypeAM(vabind(X2_vQID,X2_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_284562,c_282131]) ).
tcf(c_307058,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID,X2_vAval: vAval,X2_vQID: vQID] :
( ( X0_vQID = X2_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vtypeAM(vabind(X2_vQID,X2_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_284562,c_282112]) ).
tcf(c_307059,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID,X2_vQID: vQID] :
( vptcheck(vMC(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty)),X0_vATMap),vqsingle(vvalue(X2_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X2_vQID,X0_vAType,vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty))),X0_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))),vqvar(X2_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_284562,c_282954]) ).
tcf(c_307060,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID,X2_vQID: vQID,X3_vQID: vQID] :
( vptcheck(vMC(vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty)),X0_vATMap),vqsingle(vvalue(X2_vQID,X0_vAType,vqvar(X3_vQID))),vMC(vatmbind(X2_vQID,X0_vAType,vatmbind(X0_vQID,vtypeOf(X0_vAval),vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty))),X0_vATMap))
| ( X0_vQID = X3_vQID )
| ( vecheck(vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty),vqvar(X3_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))),vqvar(X2_vQID)) != vnoAType ) ),
inference(superposition,[status(thm)],[c_284562,c_282953]) ).
tcf(c_307061,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] : sK101(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty)))) = X0_vQID,
inference(superposition,[status(thm)],[c_284562,c_288742]) ).
tcf(c_307062,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] : sK102(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty)))) = vtypeOf(X0_vAval),
inference(superposition,[status(thm)],[c_284562,c_288725]) ).
tcf(c_307063,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] : sK103(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty)))) = vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty),
inference(superposition,[status(thm)],[c_284562,c_288672]) ).
tcf(c_307064,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK101(X0_vATMap) = X0_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_284562,c_282326]) ).
tcf(c_307065,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( vtypeOf(X0_vAval) = sK102(X0_vATMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_284562,c_282325]) ).
tcf(c_307066,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty) = sK103(X0_vATMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != X0_vATMap ) ),
inference(superposition,[status(thm)],[c_284562,c_282324]) ).
tcf(c_307067,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty) = vtypeQM(sK53(X0_vQMap)) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284562,c_282152]) ).
tcf(c_307068,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty) = vtypeQM(sK53(X0_vQMap)) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284562,c_282151]) ).
tcf(c_307069,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vtypeOf(X0_vAval) = sK52(X0_vQMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284562,c_282133]) ).
tcf(c_307070,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeOf(X0_vAval) = sK52(X0_vQMap) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284562,c_282132]) ).
tcf(c_307071,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284562,c_282114]) ).
tcf(c_307072,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( sK50(X0_vQMap) = X0_vQID )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284562,c_282113]) ).
tcf(c_307076,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] : vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))),vqvar(X0_vQID)) = vsomeAType(vtypeOf(X0_vAval)),
inference(superposition,[status(thm)],[c_284562,c_240]) ).
tcf(c_307077,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID,X2_vQID: vQID] :
( ( X0_vQID = X2_vQID )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))),vqvar(X2_vQID)) = vecheck(vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty),vqvar(X2_vQID)) ) ),
inference(superposition,[status(thm)],[c_284562,c_239]) ).
tcf(c_307078,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vatmempty,
inference(superposition,[status(thm)],[c_284562,c_256]) ).
tcf(c_307079,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID,X2_vQID: vQID] :
( ( vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty) = X0_vATMap )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vatmbind(X2_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_284562,c_243]) ).
tcf(c_307080,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID,X2_vQID: vQID] :
( ( vtypeOf(X0_vAval) = X0_vAType )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vatmbind(X2_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_284562,c_242]) ).
tcf(c_307081,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID,X2_vQID: vQID] :
( ( X0_vQID = X2_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))) != vatmbind(X2_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_284562,c_241]) ).
tcf(c_307153,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID,X2_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))),X0_vATMap),vqsingle(vvalue(X2_vQID,X0_vAType,vqvar(X0_vQID))),vMC(vatmbind(X2_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty)))),X0_vATMap))
| ( vsomeAType(vtypeOf(X0_vAval)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))),vqvar(X2_vQID)) != vnoAType ) ),
inference(light_normalisation,[status(thm)],[c_307059,c_284562]) ).
tcf(c_307157,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vQID: vQID,X0_vAType: vAType,X1_vAval: vAval,X1_vQID: vQID,X2_vQID: vQID,X3_vQID: vQID] :
( vptcheck(vMC(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))),X0_vATMap),vqsingle(vvalue(X2_vQID,X0_vAType,vqvar(X3_vQID))),vMC(vatmbind(X2_vQID,X0_vAType,vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty)))),X0_vATMap))
| ( X0_vQID = X3_vQID )
| ( vecheck(vatmbind(X1_vQID,vtypeOf(X1_vAval),vatmempty),vqvar(X3_vQID)) != vsomeAType(X0_vAType) )
| ( vecheck(vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vaempty))),vqvar(X2_vQID)) != vnoAType ) ),
inference(light_normalisation,[status(thm)],[c_307060,c_284562]) ).
tcf(c_307261,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] : sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X0_vAType,
inference(demodulation,[status(thm)],[c_291008,c_288725]) ).
tcf(c_307264,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( X0_vAType = vText )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_307261]) ).
tcf(c_307265,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = X1_vAType )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vYesNo )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_307261]) ).
tcf(c_307266,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vNumber )
| ( sK120(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = X1_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_307261]) ).
tcf(c_307268,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = sK120(X0_vQMap) )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_91,c_307261]) ).
tcf(c_307270,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber ) ),
inference(superposition,[status(thm)],[c_283377,c_307261]) ).
tcf(c_307271,plain,
! [X0_vQMap: vQMap] :
( ( sK120(X0_vQMap) = vText )
| ( sK52(X0_vQMap) = vYesNo )
| ( sK52(X0_vQMap) = vNumber )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_283375,c_307261]) ).
tcf(c_307272,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK120(X0_vQMap) = vText )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber ) ),
inference(superposition,[status(thm)],[c_283363,c_307261]) ).
tcf(c_307273,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vsomeQuestion(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType) = vlookupQMap(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_307261,c_282739]) ).
tcf(c_307275,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType)),X0_vAnsMap,sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vsomeQConf(vQC(X0_vAnsMap,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap),vqempty)) ) ),
inference(superposition,[status(thm)],[c_307261,c_282687]) ).
tcf(c_307276,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vatmbind(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType,vtypeQM(sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)))) = vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_307261,c_282682]) ).
tcf(c_307277,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) = vqmempty )
| ( vqmbind(sK118(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),sK119(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)),X0_vAType,sK121(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_307261,c_282]) ).
tcf(c_307311,plain,
! [X0_vQMap: vQMap] :
( ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = vText )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_368,c_307268]) ).
tcf(c_307312,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK120(X0_vQMap) = vYesNo )
| ( sK120(X0_vQMap) = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_283379,c_307268]) ).
tcf(c_307313,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK120(X0_vQMap) = vNumber )
| ( sK120(X0_vQMap) = X0_vAType )
| ( sK52(X0_vQMap) = vYesNo )
| ( vtypeQM(X0_vQMap) = vatmempty ) ),
inference(superposition,[status(thm)],[c_283379,c_307268]) ).
tcf(c_307315,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vsomeQuestion(sK118(X0_vQMap),sK119(X0_vQMap),sK52(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_307268,c_282739]) ).
tcf(c_307316,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vdefquestion(sK118(X0_vQMap),sK119(X0_vQMap),sK52(X0_vQMap))),X0_vAnsMap,sK121(X0_vQMap)) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqempty)) ) ),
inference(superposition,[status(thm)],[c_307268,c_282687]) ).
tcf(c_307317,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vatmbind(sK118(X0_vQMap),sK52(X0_vQMap),vtypeQM(sK121(X0_vQMap))) = vtypeQM(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_307268,c_282682]) ).
tcf(c_307318,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( vqmbind(sK118(X0_vQMap),sK119(X0_vQMap),sK52(X0_vQMap),sK121(X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_307268,c_282]) ).
tcf(c_307380,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X1_vAnsMap))
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_334]) ).
tcf(c_307381,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_419]) ).
tcf(c_307382,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_418]) ).
tcf(c_307468,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT] : vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),vaempty) = vnoExp,
inference(global_subsumption_just,[status(thm)],[c_293441,c_38234,c_38235,c_293441]) ).
tcf(c_307471,plain,
! [X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_282182,c_307468]) ).
tcf(c_307482,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vAval: vAval,X1_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vconstant(X1_vAval),X1_vBinOpT,vqvar(X0_vQID)))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vbinop(vconstant(X1_vAval),X1_vBinOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_307468,c_283104]) ).
tcf(c_307489,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_307468,c_429]) ).
tcf(c_307490,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_307468,c_428]) ).
tcf(c_307491,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| sP29(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire)
| ( vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)) = vconstant(vB(vyes)) )
| ( vreduce(vqcond(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_307468,c_427]) ).
tcf(c_307493,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X1_vQID)))
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X1_vQID)))),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_307468,c_392]) ).
tcf(c_307494,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)))
| ( vreduceExp(vbinop(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X1_vBinOpT,X0_vExp),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_307468,c_333]) ).
tcf(c_307495,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)))
| ( vreduceExp(vunop(X0_vUnOpT,vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_307468,c_332]) ).
tcf(c_307496,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( visSomeExp(vnoExp)
| vexpIsValue(vbinop(vconstant(X0_vAval),X1_vBinOpT,vqvar(X0_vQID)))
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vbinop(vconstant(X0_vAval),X1_vBinOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(superposition,[status(thm)],[c_307468,c_283103]) ).
tcf(c_307499,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( vexpIsValue(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)))
| ( vreduceExp(vunop(X0_vUnOpT,vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307495,c_337]) ).
tcf(c_307502,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( vexpIsValue(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)))
| ( vreduceExp(vbinop(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X1_vBinOpT,X0_vExp),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307494,c_337]) ).
tcf(c_307505,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vAval: vAval,X1_vBinOpT: vBinOpT] :
( vexpIsValue(vbinop(vconstant(X1_vAval),X1_vBinOpT,vqvar(X0_vQID)))
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vbinop(vconstant(X1_vAval),X1_vBinOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307482,c_337]) ).
tcf(c_307508,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQID: vQID] :
( vexpIsValue(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X1_vQID)))
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X1_vQID)))),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307493,c_337]) ).
tcf(c_307511,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vBinOpT: vBinOpT] :
( vexpIsValue(vbinop(vconstant(X0_vAval),X1_vBinOpT,vqvar(X0_vQID)))
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vbinop(vconstant(X0_vAval),X1_vBinOpT,vqvar(X0_vQID))),vaempty) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307496,c_337]) ).
tcf(c_307579,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vreduceExp(vqvar(X0_vQID),vabind(X1_vQID,X0_vAval,X0_vAnsMap)) = vnoExp )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) != vnoAval ) ),
inference(superposition,[status(thm)],[c_357,c_293810]) ).
tcf(c_307580,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),X0_vAnsMap) = vnoExp )
| ( vsomeAval(sK90(X0_vAnsMap)) != vnoAval ) ),
inference(superposition,[status(thm)],[c_288446,c_293810]) ).
tcf(c_307581,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),X0_vAnsMap) = vnoExp )
| ( vsomeAval(sK48(X0_vAnsMap)) != vnoAval ) ),
inference(superposition,[status(thm)],[c_282594,c_293810]) ).
tcf(c_307582,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vreduceExp(vqvar(sK47(X0_vAnsMap)),X0_vAnsMap) = vnoExp )
| ( vsomeAval(sK48(X0_vAnsMap)) != vnoAval ) ),
inference(superposition,[status(thm)],[c_282595,c_293810]) ).
tcf(c_307583,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vreduceExp(vqvar(sK89(X0_vAnsMap)),X0_vAnsMap) = vnoExp )
| ( vsomeAval(sK48(X0_vAnsMap)) != vnoAval ) ),
inference(superposition,[status(thm)],[c_305193,c_293810]) ).
tcf(c_307584,plain,
! [X0_vAnsMap: vAnsMap] :
( ( X0_vAnsMap = vaempty )
| ( vreduceExp(vqvar(sK89(X0_vAnsMap)),X0_vAnsMap) = vnoExp )
| ( vsomeAval(sK90(X0_vAnsMap)) != vnoAval ) ),
inference(superposition,[status(thm)],[c_282596,c_293810]) ).
tcf(c_307585,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK47(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(X0_vQID),sK49(X0_vAnsMap)) = vnoExp )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) != vnoAval ) ),
inference(superposition,[status(thm)],[c_283175,c_293810]) ).
tcf(c_307586,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK47(X0_vAnsMap) = X0_vQID )
| ( vtypeAM(X0_vAnsMap) = vatmempty )
| ( vreduceExp(vqvar(X0_vQID),sK49(X0_vAnsMap)) = vnoExp )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) != vnoAval ) ),
inference(superposition,[status(thm)],[c_283174,c_293810]) ).
tcf(c_307587,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK89(X0_vAnsMap) = X0_vQID )
| ( vreduceExp(vqvar(X0_vQID),sK91(X0_vAnsMap)) = vnoExp )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) != vnoAval ) ),
inference(superposition,[status(thm)],[c_283176,c_293810]) ).
tcf(c_307631,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X1_vAnsMap))
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_334]) ).
tcf(c_307632,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_419]) ).
tcf(c_307633,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_418]) ).
tcf(c_307680,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| visSomeExp(vreduceExp(X2_vExp,X1_vAnsMap))
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_334]) ).
tcf(c_307681,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_419]) ).
tcf(c_307682,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_418]) ).
tcf(c_307745,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vAval: vAval,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),vabind(X1_vQID,X1_vAval,vaempty)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_294037,c_283104]) ).
tcf(c_307752,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| sP29(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire)
| ( X0_vQID = X1_vQID )
| ( sK160(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_429]) ).
tcf(c_307753,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| sP29(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire)
| ( X0_vQID = X1_vQID )
| ( sK159(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_428]) ).
tcf(c_307754,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| sP29(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire)
| ( X0_vQID = X1_vQID )
| ( vconstant(vB(vyes)) = vqvar(X0_vQID) )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_427]) ).
tcf(c_307756,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID,X2_vQID: vQID] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X1_vQID))
| ( X1_vQID = X2_vQID )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vabind(X2_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_392]) ).
tcf(c_307757,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),vabind(X1_vQID,X0_vAval,vaempty)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_294037,c_333]) ).
tcf(c_307758,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vunop(X0_vUnOpT,vqvar(X0_vQID)),vabind(X1_vQID,X0_vAval,vaempty)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_294037,c_332]) ).
tcf(c_307759,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| vexpIsValue(vqvar(X0_vQID))
| ( X0_vQID = X1_vQID )
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),vabind(X1_vQID,X0_vAval,vaempty)) = vnoExp ) ),
inference(superposition,[status(thm)],[c_294037,c_283103]) ).
tcf(c_307760,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQID: vQID] :
( vexpIsValue(vqvar(X0_vQID))
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vunop(X0_vUnOpT,vqvar(X0_vQID)),vabind(X1_vQID,X0_vAval,vaempty)) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307758,c_337]) ).
tcf(c_307764,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQID: vQID] :
( vexpIsValue(vqvar(X0_vQID))
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),vabind(X1_vQID,X0_vAval,vaempty)) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307757,c_337]) ).
tcf(c_307768,plain,
! [X0_vAval: vAval,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vAval: vAval,X1_vQID: vQID] :
( vexpIsValue(vqvar(X0_vQID))
| ( X0_vQID = X1_vQID )
| ( vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),vabind(X1_vQID,X1_vAval,vaempty)) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307745,c_337]) ).
tcf(c_307772,plain,
! [X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID,X2_vQID: vQID] :
( vexpIsValue(vqvar(X1_vQID))
| ( X1_vQID = X2_vQID )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),vabind(X2_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307756,c_337]) ).
tcf(c_307776,plain,
! [X0_vAval: vAval,X0_vExp: vExp,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQID: vQID] :
( vexpIsValue(vqvar(X0_vQID))
| ( X0_vQID = X1_vQID )
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,vqvar(X0_vQID)),vabind(X1_vQID,X0_vAval,vaempty)) = vnoExp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307759,c_337]) ).
tcf(c_307911,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| visSomeExp(vreduceExp(X1_vExp,X1_vAnsMap))
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_334]) ).
tcf(c_307912,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_419]) ).
tcf(c_307913,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X0_vAType: vAType] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_418]) ).
tcf(c_307938,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| visSomeExp(vreduceExp(X2_vExp,X1_vAnsMap))
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284627,c_334]) ).
tcf(c_307939,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284627,c_419]) ).
tcf(c_307940,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284627,c_418]) ).
tcf(c_307997,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vText )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_298858]) ).
tcf(c_307998,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_298858]) ).
tcf(c_307999,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vYesNo )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_298858]) ).
tcf(c_308004,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK135(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK52(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_298858]) ).
tcf(c_308005,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK135(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK52(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_298858]) ).
tcf(c_308006,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( sK135(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK52(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_298858]) ).
tcf(c_308007,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( sK135(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_298858]) ).
tcf(c_308008,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK52(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298858,c_298854]) ).
tcf(c_308009,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298858,c_377]) ).
tcf(c_308117,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| visSomeExp(vreduceExp(X2_vExp,X1_vAnsMap))
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_334]) ).
tcf(c_308118,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_419]) ).
tcf(c_308119,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_418]) ).
tcf(c_308139,plain,
! [X0_vQMap: vQMap] :
( ( sK52(X0_vQMap) = vText )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_368,c_298914]) ).
tcf(c_308140,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = X0_vAType )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber ) ),
inference(superposition,[status(thm)],[c_283379,c_298914]) ).
tcf(c_308141,plain,
! [X0_vQMap: vQMap,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( sK52(X0_vQMap) = vYesNo )
| ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_283379,c_298914]) ).
tcf(c_308145,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK132(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK52(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_298914]) ).
tcf(c_308146,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK132(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK52(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_298914]) ).
tcf(c_308147,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( sK132(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK52(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_298914]) ).
tcf(c_308148,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( sK132(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK52(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_298914]) ).
tcf(c_308149,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298914,c_283429]) ).
tcf(c_308150,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vask(sK50(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298914,c_283491]) ).
tcf(c_308217,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK134(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK51(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299120]) ).
tcf(c_308218,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK134(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK51(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299120]) ).
tcf(c_308219,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( sK134(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK51(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299120]) ).
tcf(c_308220,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( sK134(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_299120]) ).
tcf(c_308221,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK51(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299120,c_299118]) ).
tcf(c_308222,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),vText) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299120,c_283462]) ).
tcf(c_308223,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299120,c_377]) ).
tcf(c_308357,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X3_vExp)
| visSomeExp(vreduceExp(X3_vExp,X1_vAnsMap))
| ( vreduceExp(vbinop(X0_vExp,X2_vBinOpT,X3_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284632,c_334]) ).
tcf(c_308358,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284632,c_419]) ).
tcf(c_308359,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284632,c_418]) ).
tcf(c_308382,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| visSomeExp(vreduceExp(X2_vExp,X1_vAnsMap))
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284633,c_334]) ).
tcf(c_308383,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( vconstant(sK156(X0_vExp)) = X0_vExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284633,c_419]) ).
tcf(c_308384,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( ( vconstant(sK155(X0_vExp)) = X0_vExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284633,c_418]) ).
tcf(c_308414,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(X2_vExp,X1_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284633,c_284678]) ).
tcf(c_308415,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(X2_vExp,X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X2_vBinOpT,X3_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284632,c_284678]) ).
tcf(c_308416,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(X2_vExp,X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_284678]) ).
tcf(c_308417,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(X2_vExp,X1_vAnsMap) = vnoExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284627,c_284678]) ).
tcf(c_308418,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X1_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_284678]) ).
tcf(c_308419,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_284678]) ).
tcf(c_308420,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_284678]) ).
tcf(c_308421,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X1_vAnsMap) = vnoExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_284678]) ).
tcf(c_308422,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283723,c_284678]) ).
tcf(c_308423,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283722,c_284678]) ).
tcf(c_308424,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_284678]) ).
tcf(c_308425,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(X0_vExp,X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283720,c_284678]) ).
tcf(c_308426,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X1_vAnsMap) = vnoExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_284678]) ).
tcf(c_308427,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) )
| ( vreduceExp(X1_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_293640,c_284678]) ).
tcf(c_308428,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283075,c_284678]) ).
tcf(c_308429,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X1_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283064,c_284678]) ).
tcf(c_308430,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(X1_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_417,c_284678]) ).
tcf(c_308431,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_420,c_284678]) ).
tcf(c_308544,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK133(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK50(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299140]) ).
tcf(c_308545,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK133(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK50(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299140]) ).
tcf(c_308546,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( sK133(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK50(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299140]) ).
tcf(c_308547,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( sK133(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_291342,c_299140]) ).
tcf(c_308548,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = sK50(X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299140,c_299138]) ).
tcf(c_308549,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vYesNo )
| ( sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap)) = vNumber )
| ( vsomeQuestion(sK50(X0_vQMap),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),vText) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299140,c_283462]) ).
tcf(c_308550,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK50(X0_vQMap),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299140,c_377]) ).
tcf(c_308595,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK134(X0_vOptQuestion),sK132(X0_vOptQuestion)) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_299138,c_299339]) ).
tcf(c_308596,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(X0_vQID,sK134(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_299017,c_299339]) ).
tcf(c_308597,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK50(X0_vQMap),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299140,c_299339]) ).
tcf(c_308598,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK50(X0_vQMap),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299139,c_299339]) ).
tcf(c_308599,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK118(X0_vQMap),sK134(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299141,c_299339]) ).
tcf(c_308600,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK131(X0_vOptQuestion),sK132(X0_vOptQuestion)) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_299118,c_299339]) ).
tcf(c_308601,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(sK133(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vLabel,sK132(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_298951,c_299339]) ).
tcf(c_308602,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299120,c_299339]) ).
tcf(c_308603,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_301407,c_299339]) ).
tcf(c_308604,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299119,c_299339]) ).
tcf(c_308605,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK132(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299121,c_299339]) ).
tcf(c_308608,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( sK132(X0_vOptQuestion) = vYesNo )
| ( sK132(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK134(X0_vOptQuestion),vText) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_368,c_299339]) ).
tcf(c_308609,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK132(X0_vOptQuestion) = vYesNo )
| ( sK132(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK134(X0_vOptQuestion),X0_vAType) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_299339]) ).
tcf(c_308610,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK132(X0_vOptQuestion) = vNumber )
| ( sK132(X0_vOptQuestion) = X0_vAType )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK134(X0_vOptQuestion),vYesNo) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_299339]) ).
tcf(c_308742,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X2_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284633,c_284679]) ).
tcf(c_308743,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X2_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X2_vBinOpT,X3_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284632,c_284679]) ).
tcf(c_308744,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X2_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_284679]) ).
tcf(c_308745,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK160(X0_vQuestionnaire,X2_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284627,c_284679]) ).
tcf(c_308746,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_284679]) ).
tcf(c_308747,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_284679]) ).
tcf(c_308748,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X2_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_284679]) ).
tcf(c_308749,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_284679]) ).
tcf(c_308750,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283723,c_284679]) ).
tcf(c_308751,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283722,c_284679]) ).
tcf(c_308752,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_284679]) ).
tcf(c_308753,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduceExp(X0_vExp,X1_vAnsMap) = vnoExp )
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283720,c_284679]) ).
tcf(c_308754,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_284679]) ).
tcf(c_308755,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) )
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_293640,c_284679]) ).
tcf(c_308756,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283075,c_284679]) ).
tcf(c_308757,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283064,c_284679]) ).
tcf(c_308758,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_417,c_284679]) ).
tcf(c_308759,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_420,c_284679]) ).
tcf(c_308948,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X2_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284633,c_284680]) ).
tcf(c_308949,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X2_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X2_vBinOpT,X3_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284632,c_284680]) ).
tcf(c_308950,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X2_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_284680]) ).
tcf(c_308951,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK159(X0_vQuestionnaire,X2_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284627,c_284680]) ).
tcf(c_308952,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_284680]) ).
tcf(c_308953,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_284680]) ).
tcf(c_308954,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X2_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_284680]) ).
tcf(c_308955,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_284680]) ).
tcf(c_308956,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283723,c_284680]) ).
tcf(c_308957,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283722,c_284680]) ).
tcf(c_308958,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_284680]) ).
tcf(c_308959,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vreduceExp(X0_vExp,X1_vAnsMap) = vnoExp )
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283720,c_284680]) ).
tcf(c_308960,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_284680]) ).
tcf(c_308961,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) )
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_293640,c_284680]) ).
tcf(c_308962,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283075,c_284680]) ).
tcf(c_308963,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283064,c_284680]) ).
tcf(c_308964,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_417,c_284680]) ).
tcf(c_308965,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_420,c_284680]) ).
tcf(c_309198,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X2_vExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284633,c_284681]) ).
tcf(c_309199,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X2_vExp )
| ( vreduceExp(vbinop(X0_vExp,X2_vBinOpT,X3_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284632,c_284681]) ).
tcf(c_309200,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X2_vExp )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_284681]) ).
tcf(c_309201,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| sP29(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X2_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X2_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284627,c_284681]) ).
tcf(c_309202,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_284681]) ).
tcf(c_309203,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_284681]) ).
tcf(c_309204,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X2_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_284681]) ).
tcf(c_309205,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_284681]) ).
tcf(c_309206,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283723,c_284681]) ).
tcf(c_309207,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283722,c_284681]) ).
tcf(c_309208,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_284681]) ).
tcf(c_309209,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduceExp(X0_vExp,X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283720,c_284681]) ).
tcf(c_309210,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_284681]) ).
tcf(c_309211,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_293640,c_284681]) ).
tcf(c_309212,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283075,c_284681]) ).
tcf(c_309213,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283064,c_284681]) ).
tcf(c_309214,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| sP29(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_417,c_284681]) ).
tcf(c_309215,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_420,c_284681]) ).
tcf(c_309381,plain,
! [X0_vOptQuestion: vOptQuestion] :
( ( X0_vOptQuestion = vnoQuestion )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK131(X0_vOptQuestion),sK135(X0_vOptQuestion)) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_299138,c_299380]) ).
tcf(c_309382,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(X0_vQID,sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_299017,c_299380]) ).
tcf(c_309383,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK50(X0_vQMap),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299140,c_299380]) ).
tcf(c_309384,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK50(X0_vQMap),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299139,c_299380]) ).
tcf(c_309385,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK118(X0_vQMap),sK131(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299141,c_299380]) ).
tcf(c_309393,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK131(X0_vOptQuestion),X0_vAType) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_299380]) ).
tcf(c_309394,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK135(X0_vOptQuestion) = X0_vAType )
| ( vsomeQuestion(sK133(X0_vOptQuestion),sK131(X0_vOptQuestion),vYesNo) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_299380]) ).
tcf(c_309396,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(sK133(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK131(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_298802,c_299380]) ).
tcf(c_309397,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298858,c_299380]) ).
tcf(c_309398,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_300579,c_299380]) ).
tcf(c_309399,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298857,c_299380]) ).
tcf(c_309400,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK133(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK131(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298859,c_299380]) ).
tcf(c_309509,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK131(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK51(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299421]) ).
tcf(c_309510,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK131(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK51(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299421]) ).
tcf(c_309511,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( sK131(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK51(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299421]) ).
tcf(c_309512,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( sK131(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = sK51(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_291342,c_299421]) ).
tcf(c_309514,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299421,c_283429]) ).
tcf(c_309515,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vask(sK50(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299421,c_283491]) ).
tcf(c_309562,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X1_vExp,X1_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)),X0_vBinOpT,X2_vExp)) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284633,c_284682]) ).
tcf(c_309563,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vbinop(X1_vExp,X2_vBinOpT,X3_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X1_vExp,X1_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)),X0_vBinOpT,X2_vExp)) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284632,c_284682]) ).
tcf(c_309564,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X2_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X2_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X1_vExp)),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_284682]) ).
tcf(c_309565,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(X1_vExp,X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X1_vExp,X1_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)),X0_vBinOpT,X2_vExp)) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284627,c_284682]) ).
tcf(c_309566,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X1_vExp)),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_284682]) ).
tcf(c_309567,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X1_vExp)),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_284682]) ).
tcf(c_309568,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType,X2_vQMap: vQMap,X2_vQID: vQID,X2_vAType: vAType] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X2_vQID,X2_vAType,X1_vExp)),X1_vAnsMap,X2_vQMap) = vnoQConf )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_284682]) ).
tcf(c_309569,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X1_vExp)),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_284682]) ).
tcf(c_309570,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vunop(X1_vUnOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X1_vExp,X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283723,c_284682]) ).
tcf(c_309571,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X1_vExp,X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283722,c_284682]) ).
tcf(c_309572,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X1_vExp)),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_284682]) ).
tcf(c_309573,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(X1_vExp,X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X1_vExp,X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283720,c_284682]) ).
tcf(c_309574,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X1_vExp)),X1_vAnsMap,X1_vQMap) = vnoQConf )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_284682]) ).
tcf(c_309575,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK154(sK154(X1_vExp)) = sK154(X1_vExp) )
| ( vsomeExp(vbinop(X1_vExp,X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_293640,c_284682]) ).
tcf(c_309576,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(sK74(vreduceExp(X1_vExp,X1_vAnsMap))) = vreduceExp(X1_vExp,X1_vAnsMap) )
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X1_vExp,X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283075,c_284682]) ).
tcf(c_309577,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vsomeExp(sK74(vreduceExp(X1_vExp,X1_vAnsMap))) = vreduceExp(X1_vExp,X1_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X1_vExp,X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283064,c_284682]) ).
tcf(c_309578,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK154(X1_vExp) = X1_vExp )
| ( vsomeExp(vbinop(X1_vExp,X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X1_vExp,X0_vBinOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_417,c_284682]) ).
tcf(c_309579,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType] :
( vexpIsValue(X0_vExp)
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_420,c_284682]) ).
tcf(c_309794,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X2_vExp,X2_vBinOpT,X3_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284633,c_284683]) ).
tcf(c_309795,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp,X3_vBinOpT: vBinOpT,X4_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(vbinop(X2_vExp,X3_vBinOpT,X4_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X2_vBinOpT,X3_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284632,c_284683]) ).
tcf(c_309796,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(vbinop(X2_vExp,X2_vBinOpT,X3_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_284683]) ).
tcf(c_309797,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X2_vExp,X2_vBinOpT,X3_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284627,c_284683]) ).
tcf(c_309798,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_284683]) ).
tcf(c_309799,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vbinop(X1_vExp,X2_vBinOpT,X3_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_284683]) ).
tcf(c_309800,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vBinOpT: vBinOpT,X1_vAType: vAType,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_284683]) ).
tcf(c_309801,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_284683]) ).
tcf(c_309802,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283723,c_284683]) ).
tcf(c_309803,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vbinop(X1_vExp,X2_vBinOpT,X3_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283722,c_284683]) ).
tcf(c_309804,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_284683]) ).
tcf(c_309805,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X0_vExp,X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283720,c_284683]) ).
tcf(c_309806,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_284683]) ).
tcf(c_309807,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) )
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_293640,c_284683]) ).
tcf(c_309808,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vbinop(X1_vExp,X2_vBinOpT,X3_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283075,c_284683]) ).
tcf(c_309809,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283064,c_284683]) ).
tcf(c_309810,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vbinop(X1_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_417,c_284683]) ).
tcf(c_309811,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp,X1_vBinOpT: vBinOpT] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_420,c_284683]) ).
tcf(c_309992,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(vunop(X1_vUnOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284633,c_284684]) ).
tcf(c_309993,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp,X2_vBinOpT: vBinOpT,X3_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X2_vBinOpT,X3_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284632,c_284684]) ).
tcf(c_309994,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284631,c_284684]) ).
tcf(c_309995,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X2_vExp)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X0_vUnOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X1_vBinOpT,vgetExp(vreduceExp(X2_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284627,c_284684]) ).
tcf(c_309996,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X1_vUnOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284584,c_284684]) ).
tcf(c_309997,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284583,c_284684]) ).
tcf(c_309998,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vQMap: vQMap,X1_vQID: vQID,X1_vAType: vAType] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X1_vQID,X1_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284582,c_284684]) ).
tcf(c_309999,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284578,c_284684]) ).
tcf(c_310000,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT,X2_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X2_vUnOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X1_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283723,c_284684]) ).
tcf(c_310001,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X1_vUnOpT: vUnOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X1_vUnOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283722,c_284684]) ).
tcf(c_310002,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(vunop(X1_vUnOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283721,c_284684]) ).
tcf(c_310003,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| ( vreduceExp(X0_vExp,X1_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X1_vUnOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X1_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283720,c_284684]) ).
tcf(c_310004,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X0_vAType: vAType,X1_vAnsMap: vAnsMap,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X1_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X1_vAnsMap) )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283681,c_284684]) ).
tcf(c_310005,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK154(sK154(X0_vExp)) = sK154(X0_vExp) )
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_293640,c_284684]) ).
tcf(c_310006,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vBinOpT: vBinOpT,X2_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vbinop(X0_vExp,X1_vBinOpT,X2_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283075,c_284684]) ).
tcf(c_310007,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vAnsMap: vAnsMap,X1_vExp: vExp,X1_vUnOpT: vUnOpT] :
( vexpIsValue(X1_vExp)
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X1_vAnsMap))) = vreduceExp(X0_vExp,X1_vAnsMap) )
| ( vreduceExp(vunop(X1_vUnOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X1_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283064,c_284684]) ).
tcf(c_310008,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( vreduceExp(vunop(X0_vUnOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_417,c_284684]) ).
tcf(c_310009,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X0_vUnOpT: vUnOpT] :
( vexpIsValue(X0_vExp)
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(vconstant(X0_vAval),X0_vBinOpT,X0_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_420,c_284684]) ).
tcf(c_310231,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vLabel,sK135(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType))) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_298951,c_299468]) ).
tcf(c_310232,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299120,c_299468]) ).
tcf(c_310233,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_301407,c_299468]) ).
tcf(c_310234,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK51(X0_vQMap),sK135(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299119,c_299468]) ).
tcf(c_310235,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK119(X0_vQMap),sK135(vlookupQMap(sK118(X0_vQMap),X0_vQMap))) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299121,c_299468]) ).
tcf(c_310239,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vYesNo )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK134(X0_vOptQuestion),X0_vAType) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_299468]) ).
tcf(c_310240,plain,
! [X0_vOptQuestion: vOptQuestion,X0_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vOptQuestion = vnoQuestion )
| ( sK135(X0_vOptQuestion) = vNumber )
| ( sK135(X0_vOptQuestion) = X0_vAType )
| ( vsomeQuestion(sK130(X0_vOptQuestion),sK134(X0_vOptQuestion),vYesNo) = X0_vOptQuestion ) ),
inference(superposition,[status(thm)],[c_283379,c_299468]) ).
tcf(c_310242,plain,
! [X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) = vnoQuestion )
| ( vsomeQuestion(sK130(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),sK134(vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType)),X0_vAType) = vsomeQuestion(X0_vQID,X0_vLabel,X0_vAType) ) ),
inference(superposition,[status(thm)],[c_298802,c_299468]) ).
tcf(c_310243,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298858,c_299468]) ).
tcf(c_310244,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_300579,c_299468]) ).
tcf(c_310245,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK134(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK52(X0_vQMap)) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298857,c_299468]) ).
tcf(c_310246,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK118(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK130(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK134(vlookupQMap(sK118(X0_vQMap),X0_vQMap)),sK120(X0_vQMap)) = vlookupQMap(sK118(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_298859,c_299468]) ).
tcf(c_310322,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(global_subsumption_just,[status(thm)],[c_284743,c_165,c_161,c_9787]) ).
tcf(c_310346,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ( X0_vAType = vYesNo )
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType) ),
inference(global_subsumption_just,[status(thm)],[c_284744,c_10239]) ).
tcf(c_310347,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(renaming,[status(thm)],[c_310346]) ).
tcf(c_310356,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_310347,c_169]) ).
tcf(c_310357,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( sK76(X0_vBinOpT,X0_vAType,X1_vAType) = X1_vAType ) ),
inference(superposition,[status(thm)],[c_310347,c_168]) ).
tcf(c_310358,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vYesNo )
| ( X1_vAType = vNumber )
| ( sK75(X0_vBinOpT,X0_vAType,X1_vAType) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_310347,c_167]) ).
tcf(c_310359,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = veqop ) ),
inference(superposition,[status(thm)],[c_310347,c_166]) ).
tcf(c_310389,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vNumber )
| ( X1_vAType = vYesNo )
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| sP8(X0_vBinOpT,X1_vAType,X0_vAType) ),
inference(global_subsumption_just,[status(thm)],[c_284745,c_10256]) ).
tcf(c_310390,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X1_vAType = vYesNo )
| ( X0_vAType = vNumber ) ),
inference(renaming,[status(thm)],[c_310389]) ).
tcf(c_310399,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_310390,c_169]) ).
tcf(c_310400,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( sK76(X0_vBinOpT,X0_vAType,X1_vAType) = X1_vAType ) ),
inference(superposition,[status(thm)],[c_310390,c_168]) ).
tcf(c_310401,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( X0_vAType = vYesNo )
| ( sK75(X0_vBinOpT,X0_vAType,X1_vAType) = X0_vAType ) ),
inference(superposition,[status(thm)],[c_310390,c_167]) ).
tcf(c_310402,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X1_vAType = vYesNo )
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = veqop ) ),
inference(superposition,[status(thm)],[c_310390,c_166]) ).
tcf(c_310427,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK130(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK50(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282719,c_299589]) ).
tcf(c_310428,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( sK50(sK53(X0_vQMap)) = sK50(X0_vQMap) )
| ( vtypeQM(sK53(X0_vQMap)) = vatmempty )
| ( sK130(vlookupQMap(sK50(sK53(X0_vQMap)),X0_vQMap)) = sK50(sK53(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282718,c_299589]) ).
tcf(c_310429,plain,
! [X0_vQMap: vQMap] :
( ( X0_vQMap = vqmempty )
| ( sK50(sK121(X0_vQMap)) = sK118(X0_vQMap) )
| ( vtypeQM(sK121(X0_vQMap)) = vatmempty )
| ( sK130(vlookupQMap(sK50(sK121(X0_vQMap)),X0_vQMap)) = sK50(sK121(X0_vQMap)) ) ),
inference(superposition,[status(thm)],[c_282720,c_299589]) ).
tcf(c_310430,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vLabel: vLabel,X0_vAType: vAType] :
( ( vtypeQM(vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap)) = vatmempty )
| ( sK130(vlookupQMap(X0_vQID,vqmbind(X0_vQID,X0_vLabel,X0_vAType,X0_vQMap))) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_291342,c_299589]) ).
tcf(c_310432,plain,
! [X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vlookupQMap(sK50(X0_vQMap),X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK50(X0_vQMap),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299589,c_283429]) ).
tcf(c_310433,plain,
! [X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] :
( ( vtypeQM(X0_vQMap) = vatmempty )
| ( vreduce(vqsingle(vask(sK50(X0_vQMap))),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeQuestion(sK50(X0_vQMap),sK131(vlookupQMap(sK50(X0_vQMap),X0_vQMap)),sK132(vlookupQMap(sK50(X0_vQMap),X0_vQMap))) = vlookupQMap(sK50(X0_vQMap),X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_299589,c_283491]) ).
tcf(c_310482,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeQC(vnoQConf)
| ( vqseq(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),X0_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqseq(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),X0_vQuestionnaire),X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_300328,c_430]) ).
tcf(c_310483,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] : vreduce(vqseq(vqseq(vqsingle(vvalue(X0_vQID,X0_vAType,vqvar(X1_vQID))),X0_vQuestionnaire),X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_310482,c_434,c_101]) ).
tcf(c_310497,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP8(X0_vBinOpT,X0_vAType,X1_vAType)
| sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( X1_vAType = vNumber )
| ( X0_vBinOpT = vandop )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_284746,c_165]) ).
tcf(c_310500,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( sP8(X0_vBinOpT,X1_vAType,X0_vAType)
| sP7(X0_vBinOpT,X1_vAType,X0_vAType)
| ( X0_vAType = vNumber )
| ( X0_vBinOpT = vorop )
| ( X0_vBinOpT = vandop ) ),
inference(superposition,[status(thm)],[c_284746,c_162]) ).
tcf(c_310531,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( vabind(X1_vQID,X1_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,sK48(vabind(X1_vQID,X1_vAval,X0_vAnsMap)),sK49(vabind(X1_vQID,X1_vAval,X0_vAnsMap))))) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_286830,c_284775]) ).
tcf(c_310532,plain,
! [X0_vYN: vYN,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( X0_vYN = vno )
| ( sK104(sK48(X0_vAnsMap)) = vno )
| ( vtypeOf(sK48(X0_vAnsMap)) = vText )
| ( vtypeOf(sK48(X0_vAnsMap)) = vNumber )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),vB(X0_vYN),sK49(X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_283908,c_284775]) ).
tcf(c_310533,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( vabind(X1_vQID,X1_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(vabind(X1_vQID,X1_vAval,X0_vAnsMap)),X1_vAval,sK49(vabind(X1_vQID,X1_vAval,X0_vAnsMap))))) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_286903,c_284775]) ).
tcf(c_310534,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( vabind(X1_vQID,X1_vAval,X0_vAnsMap) = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(vabind(X1_vQID,X1_vAval,X0_vAnsMap)),sK48(vabind(X1_vQID,X1_vAval,X0_vAnsMap)),X0_vAnsMap))) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_286955,c_284775]) ).
tcf(c_310535,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_289133]) ).
tcf(c_310536,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = sK103(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_289103]) ).
tcf(c_310537,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( vtypeOf(sK90(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_289135]) ).
tcf(c_310538,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = sK102(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_289134]) ).
tcf(c_310539,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( vtypeAM(sK91(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = sK103(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_289105]) ).
tcf(c_310540,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = sK103(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_289104]) ).
tcf(c_310541,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK47(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmempty ) ),
inference(superposition,[status(thm)],[c_284775,c_288998]) ).
tcf(c_310542,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( sK89(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_289000]) ).
tcf(c_310543,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( sK47(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = sK101(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_288999]) ).
tcf(c_310545,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vatmbind(X0_vQID,vtypeOf(X0_vAval),vtypeAM(vabind(X1_vQID,X1_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_87]) ).
tcf(c_310546,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(X0_vAval) = vYesNo )
| ( vtypeOf(X0_vAval) = vNumber )
| ( vatmbind(X0_vQID,vText,vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_284775,c_283378]) ).
tcf(c_310548,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = sK103(vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap))) ) ),
inference(superposition,[status(thm)],[c_284775,c_288751]) ).
tcf(c_310550,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = X0_vATMap )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_284775,c_282150]) ).
tcf(c_310552,plain,
! [X0_vATMap: vATMap,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,X0_vAnsMap)) != vatmbind(X1_vQID,X0_vAType,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_284775,c_282112]) ).
tcf(c_310553,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( X0_vAnsMap = vaempty )
| ( vecheck(vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))),vqvar(X0_vQID)) = vecheck(vtypeAM(vabind(X1_vQID,X0_vAval,X0_vAnsMap)),vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_284775,c_282083]) ).
tcf(c_310556,plain,
! [X0_vstring: vstring,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vText,vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,vT(X0_vstring),X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_284775,c_281508]) ).
tcf(c_310557,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID,X0_vnat: vnat] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vNumber,vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,vNum(X0_vnat),X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_284775,c_281521]) ).
tcf(c_310558,plain,
! [X0_vYN: vYN,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vYesNo,vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vtypeAM(vabind(X0_vQID,vB(X0_vYN),X0_vAnsMap)) ) ),
inference(superposition,[status(thm)],[c_284775,c_281522]) ).
tcf(c_310563,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vYesNo,vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmbind(X0_vQID,vYesNo,vtypeAM(X0_vAnsMap)) ) ),
inference(light_normalisation,[status(thm)],[c_310558,c_281522]) ).
tcf(c_310566,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vNumber,vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmbind(X0_vQID,vNumber,vtypeAM(X0_vAnsMap)) ) ),
inference(light_normalisation,[status(thm)],[c_310557,c_281521]) ).
tcf(c_310569,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vatmbind(X0_vQID,vText,vtypeAM(vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmbind(X0_vQID,vText,vtypeAM(X0_vAnsMap)) ) ),
inference(light_normalisation,[status(thm)],[c_310556,c_281508]) ).
tcf(c_310584,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(vabind(X1_vQID,X1_vAval,X0_vAnsMap)),sK48(vabind(X1_vQID,X1_vAval,X0_vAnsMap)),X0_vAnsMap))) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_310534,c_237]) ).
tcf(c_310585,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(vabind(X1_vQID,X1_vAval,X0_vAnsMap)),X1_vAval,sK49(vabind(X1_vQID,X1_vAval,X0_vAnsMap))))) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_310533,c_237]) ).
tcf(c_310586,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID,X1_vAval: vAval,X1_vQID: vQID] : vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,sK48(vabind(X1_vQID,X1_vAval,X0_vAnsMap)),sK49(vabind(X1_vQID,X1_vAval,X0_vAnsMap))))) = vtypeAM(vabind(X0_vQID,X0_vAval,vabind(X1_vQID,X1_vAval,X0_vAnsMap))),
inference(forward_subsumption_resolution,[status(thm)],[c_310531,c_237]) ).
tcf(c_310587,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( sK47(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = X0_vQID ) ),
inference(light_normalisation,[status(thm)],[c_310543,c_288861]) ).
tcf(c_310588,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( sK89(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = X0_vQID ) ),
inference(light_normalisation,[status(thm)],[c_310542,c_288861]) ).
tcf(c_310589,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK47(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = X0_vQID )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmempty ) ),
inference(light_normalisation,[status(thm)],[c_310541,c_288861]) ).
tcf(c_310590,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeAM(X0_vAnsMap) ) ),
inference(light_normalisation,[status(thm)],[c_310540,c_288751]) ).
tcf(c_310591,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeAM(X0_vAnsMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_310590,c_237]) ).
tcf(c_310594,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( vtypeAM(sK91(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeAM(X0_vAnsMap) ) ),
inference(light_normalisation,[status(thm)],[c_310539,c_288751]) ).
tcf(c_310595,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(sK91(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeAM(X0_vAnsMap) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_310594,c_237]) ).
tcf(c_310598,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeOf(X0_vAval) ) ),
inference(light_normalisation,[status(thm)],[c_310538,c_288850]) ).
tcf(c_310599,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeOf(X0_vAval) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_310598,c_237]) ).
tcf(c_310602,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))) = vaempty )
| ( vtypeOf(sK90(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeOf(X0_vAval) ) ),
inference(light_normalisation,[status(thm)],[c_310537,c_288850]) ).
tcf(c_310603,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeOf(sK90(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeOf(X0_vAval) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_310602,c_237]) ).
tcf(c_310606,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmempty )
| ( vtypeAM(sK49(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeAM(X0_vAnsMap) ) ),
inference(light_normalisation,[status(thm)],[c_310536,c_288751]) ).
tcf(c_310608,plain,
! [X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vtypeAM(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap)))) = vatmempty )
| ( vtypeOf(sK48(vabind(X0_vQID,X0_vAval,vabind(sK47(X0_vAnsMap),sK48(X0_vAnsMap),sK49(X0_vAnsMap))))) = vtypeOf(X0_vAval) ) ),
inference(light_normalisation,[status(thm)],[c_310535,c_288850]) ).
tff(f489,definition,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP0(X0,X1,X2)
| ( ? [X18: vYN] : ( vB(X18) = X2 )
& ? [X17: vYN] : ( vB(X17) = X1 )
& ( vorop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
tff(f490,definition,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP1(X0,X1,X2)
| ( ? [X16: vYN] : ( vB(X16) = X2 )
& ? [X15: vYN] : ( vB(X15) = X1 )
& ( vandop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
tff(f491,definition,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP2(X0,X1,X2)
| ( ? [X14: vnat] : ( vNum(X14) = X2 )
& ? [X13: vnat] : ( vNum(X13) = X1 )
& ( vltop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
tff(f492,definition,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP3(X0,X1,X2)
| ( ? [X12: vnat] : ( vNum(X12) = X2 )
& ? [X11: vnat] : ( vNum(X11) = X1 )
& ( vgtop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
tff(f493,definition,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP4(X0,X1,X2)
| ( ? [X10: vnat] : ( vNum(X10) = X2 )
& ? [X9: vnat] : ( vNum(X9) = X1 )
& ( vdivop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
tff(f494,definition,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP5(X0,X1,X2)
| ( ? [X8: vnat] : ( vNum(X8) = X2 )
& ? [X7: vnat] : ( vNum(X7) = X1 )
& ( vmulop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
tff(f495,definition,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP6(X0,X1,X2)
| ( ? [X6: vnat] : ( vNum(X6) = X2 )
& ? [X5: vnat] : ( vNum(X5) = X1 )
& ( vsubop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
tff(f496,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ( veqop = X0 )
| sP0(X0,X1,X2)
| sP1(X0,X1,X2)
| sP2(X0,X1,X2)
| sP3(X0,X1,X2)
| sP4(X0,X1,X2)
| sP5(X0,X1,X2)
| sP6(X0,X1,X2)
| ( ? [X4: vnat] : ( vNum(X4) = X2 )
& ? [X3: vnat] : ( vNum(X3) = X1 )
& ( vaddop = X0 ) )
| ( vevalBinOp(X0,X1,X2) = vnoExp ) ),
inference(definition_folding,[],[f404,f495,f494,f493,f492,f491,f490,f489]) ).
tff(f497,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP7(X0,X1,X2)
| ? [X5: vBinOpT,X6: vAType,X7: vAType] :
( ( vcheckBinOp(X0,X1,X2) = vnoAType )
& ( X2 = X7 )
& ( X1 = X6 )
& ( X0 = X5 )
& ( X5 != veqop )
& ( ( X7 != vYesNo )
| ( X6 != vYesNo )
| ( X5 != vorop ) )
& ( ( X7 != vYesNo )
| ( X6 != vYesNo )
| ( X5 != vandop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vltop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vgtop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vdivop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vmulop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vsubop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vaddop ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
tff(f498,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP8(X0,X1,X2)
| ? [X3: vAType,X4: vAType] :
( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = X4 )
& ( X1 = X3 )
& ( X0 = veqop ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
tff(f499,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP9(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vYesNo )
& ( X1 = vYesNo )
& ( X0 = vorop ) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
tff(f500,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP10(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vYesNo )
& ( X1 = vYesNo )
& ( X0 = vandop ) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
tff(f501,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP11(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vltop ) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
tff(f502,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP12(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vYesNo) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vgtop ) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
tff(f503,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP13(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vdivop ) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
tff(f504,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP14(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vmulop ) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
tff(f505,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP15(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vsubop ) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
tff(f506,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( sP7(X0,X1,X2)
| sP8(X0,X1,X2)
| sP9(X0,X1,X2)
| sP10(X0,X1,X2)
| sP11(X0,X1,X2)
| sP12(X0,X1,X2)
| sP13(X0,X1,X2)
| sP14(X0,X1,X2)
| sP15(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vsomeAType(vNumber) )
& ( X2 = vNumber )
& ( X1 = vNumber )
& ( X0 = vaddop ) ) ),
inference(definition_folding,[],[f311,f505,f504,f503,f502,f501,f500,f499,f498,f497]) ).
tff(f507,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP16(X0,X1,X2)
| ( ( vYesNo = X2 )
& ( vYesNo = X1 )
& ( vorop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
tff(f508,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP17(X0,X1,X2)
| ( ( vYesNo = X2 )
& ( vYesNo = X1 )
& ( vandop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
tff(f509,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP18(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vltop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
tff(f510,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP19(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vgtop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
tff(f511,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP20(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vdivop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
tff(f512,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP21(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vmulop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
tff(f513,definition,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP22(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vsubop = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
tff(f514,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ( veqop = X0 )
| sP16(X0,X1,X2)
| sP17(X0,X1,X2)
| sP18(X0,X1,X2)
| sP19(X0,X1,X2)
| sP20(X0,X1,X2)
| sP21(X0,X1,X2)
| sP22(X0,X1,X2)
| ( ( vNumber = X2 )
& ( vNumber = X1 )
& ( vaddop = X0 ) )
| ( vcheckBinOp(X0,X1,X2) = vnoAType ) ),
inference(definition_folding,[],[f409,f513,f512,f511,f510,f509,f508,f507]) ).
tff(f515,definition,
! [X0: vQID,X1: vAnsMap] :
( ~ sP23(X0,X1)
| ? [X7: vQID,X8: vAval,X9: vAnsMap,X10: vQID] :
( ( vlookupAnsMap(X0,X1) = vlookupAnsMap(X10,X9) )
& ( X1 = vabind(X7,X8,X9) )
& ( X0 = X10 )
& ( X10 != X7 ) ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
tff(f516,definition,
! [X0: vQID,X1: vAnsMap] :
( ~ sP24(X0,X1)
| ? [X3: vQID,X4: vAval,X5: vAnsMap,X6: vQID] :
( ( vlookupAnsMap(X0,X1) = vsomeAval(X4) )
& ( X1 = vabind(X3,X4,X5) )
& ( X0 = X6 )
& ( X6 = X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
tff(f517,plain,
! [X0: vQID,X1: vAnsMap] :
( sP23(X0,X1)
| sP24(X0,X1)
| ? [X2: vQID] :
( ( vlookupAnsMap(X0,X1) = vnoAval )
& ( X1 = vaempty )
& ( X0 = X2 ) ) ),
inference(definition_folding,[],[f196,f516,f515]) ).
tff(f518,definition,
! [X0: vQID,X1: vATMap] :
( ~ sP25(X0,X1)
| ? [X7: vQID,X8: vAType,X9: vATMap,X10: vQID] :
( ( vlookupATMap(X0,X1) = vlookupATMap(X10,X9) )
& ( X1 = vatmbind(X7,X8,X9) )
& ( X0 = X10 )
& ( X10 != X7 ) ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
tff(f519,definition,
! [X0: vQID,X1: vATMap] :
( ~ sP26(X0,X1)
| ? [X3: vQID,X4: vAType,X5: vATMap,X6: vQID] :
( ( vlookupATMap(X0,X1) = vsomeAType(X4) )
& ( X1 = vatmbind(X3,X4,X5) )
& ( X0 = X6 )
& ( X6 = X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
tff(f520,plain,
! [X0: vQID,X1: vATMap] :
( sP25(X0,X1)
| sP26(X0,X1)
| ? [X2: vQID] :
( ( vlookupATMap(X0,X1) = vnoAType )
& ( X1 = vatmempty )
& ( X0 = X2 ) ) ),
inference(definition_folding,[],[f283,f519,f518]) ).
tff(f521,definition,
! [X0: vQID,X1: vQMap] :
( ~ sP27(X0,X1)
| ? [X8: vQMap,X9: vQID,X10: vAType,X11: vLabel,X12: vQID] :
( ( vlookupQMap(X0,X1) = vlookupQMap(X12,X8) )
& ( X1 = vqmbind(X9,X11,X10,X8) )
& ( X0 = X12 )
& ( X12 != X9 ) ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
tff(f522,definition,
! [X0: vQID,X1: vQMap] :
( ~ sP28(X0,X1)
| ? [X3: vQMap,X4: vQID,X5: vAType,X6: vLabel,X7: vQID] :
( ( vlookupQMap(X0,X1) = vsomeQuestion(X7,X6,X5) )
& ( X1 = vqmbind(X4,X6,X5,X3) )
& ( X0 = X7 )
& ( X7 = X4 ) ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
tff(f523,plain,
! [X0: vQID,X1: vQMap] :
( sP27(X0,X1)
| sP28(X0,X1)
| ? [X2: vQID] :
( ( vlookupQMap(X0,X1) = vnoQuestion )
& ( X1 = vqmempty )
& ( X0 = X2 ) ) ),
inference(definition_folding,[],[f207,f522,f521]) ).
tff(f524,definition,
! [X2: vExp,X1: vQuestionnaire,X4: vQuestionnaire] :
( ~ sP29(X2,X1,X4)
| ? [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 = X8 )
& ( X1 = X7 )
& ( vconstant(vB(vno)) = X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
tff(f525,plain,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( visSomeExp(vreduceExp(X2,X3))
| sP29(X2,X1,X4)
| ? [X5: vQuestionnaire,X6: vQuestionnaire] :
( ( X4 = X6 )
& ( X1 = X5 )
& ( vconstant(vB(vyes)) = X2 ) )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vnoQConf ) ),
inference(definition_folding,[],[f471,f524]) ).
tff(f526,definition,
! [X2: vExp,X1: vQuestionnaire,X4: vQuestionnaire] :
( ~ sP30(X2,X1,X4)
| ? [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 = X8 )
& ( X1 = X7 )
& ( vconstant(vB(vno)) = X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
tff(f527,plain,
! [X0: vQMap,X1: vQuestionnaire,X2: vExp,X3: vAnsMap,X4: vQuestionnaire] :
( ~ visSomeExp(vreduceExp(X2,X3))
| sP30(X2,X1,X4)
| ? [X5: vQuestionnaire,X6: vQuestionnaire] :
( ( X4 = X6 )
& ( X1 = X5 )
& ( vconstant(vB(vyes)) = X2 ) )
| ( vreduce(vqcond(X2,X1,X4),X3,X0) = vsomeQConf(vQC(X3,X0,vqcond(vgetExp(vreduceExp(X2,X3)),X1,X4))) ) ),
inference(definition_folding,[],[f481,f526]) ).
tff(f555,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP0(X0,X1,X2)
| ( ? [X18: vYN] : ( vB(X18) = X2 )
& ? [X17: vYN] : ( vB(X17) = X1 )
& ( vorop = X0 ) ) ),
inference(nnf_transformation,[],[f489]) ).
tff(f556,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP0(X0,X1,X2)
| ( ? [X4: vYN] : ( vB(X4) = X2 )
& ? [X3: vYN] : ( vB(X3) = X1 )
& ( vorop = X0 ) ) ),
inference(rectify,[],[f555]) ).
tff(f557,plain,
! [X0: vBinOpT,X1: vAval,X2: vAval] :
( ~ sP0(X0,X1,X2)
| ( ( vB(sK71(X2)) = X2 )
& ( vB(sK70(X1)) = X1 )
& ( vorop = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71]),skolemize(X3,sK70(X1)),skolemize(X4,sK71(X2))],[f556]) ).
tff(f569,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP7(X0,X1,X2)
| ? [X5: vBinOpT,X6: vAType,X7: vAType] :
( ( vcheckBinOp(X0,X1,X2) = vnoAType )
& ( X2 = X7 )
& ( X1 = X6 )
& ( X0 = X5 )
& ( X5 != veqop )
& ( ( X7 != vYesNo )
| ( X6 != vYesNo )
| ( X5 != vorop ) )
& ( ( X7 != vYesNo )
| ( X6 != vYesNo )
| ( X5 != vandop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vltop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vgtop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vdivop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vmulop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vsubop ) )
& ( ( X7 != vNumber )
| ( X6 != vNumber )
| ( X5 != vaddop ) ) ) ),
inference(nnf_transformation,[],[f497]) ).
tff(f570,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP7(X0,X1,X2)
| ? [X3: vBinOpT,X4: vAType,X5: vAType] :
( ( vcheckBinOp(X0,X1,X2) = vnoAType )
& ( X2 = X5 )
& ( X1 = X4 )
& ( X0 = X3 )
& ( veqop != X3 )
& ( ( vYesNo != X5 )
| ( vYesNo != X4 )
| ( vorop != X3 ) )
& ( ( vYesNo != X5 )
| ( vYesNo != X4 )
| ( vandop != X3 ) )
& ( ( vNumber != X5 )
| ( vNumber != X4 )
| ( vltop != X3 ) )
& ( ( vNumber != X5 )
| ( vNumber != X4 )
| ( vgtop != X3 ) )
& ( ( vNumber != X5 )
| ( vNumber != X4 )
| ( vdivop != X3 ) )
& ( ( vNumber != X5 )
| ( vNumber != X4 )
| ( vmulop != X3 ) )
& ( ( vNumber != X5 )
| ( vNumber != X4 )
| ( vsubop != X3 ) )
& ( ( vNumber != X5 )
| ( vNumber != X4 )
| ( vaddop != X3 ) ) ) ),
inference(rectify,[],[f569]) ).
tff(f571,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP7(X0,X1,X2)
| ( ( vcheckBinOp(X0,X1,X2) = vnoAType )
& ( sK79(X0,X1,X2) = X2 )
& ( sK78(X0,X1,X2) = X1 )
& ( sK77(X0,X1,X2) = X0 )
& ( veqop != sK77(X0,X1,X2) )
& ( ( vYesNo != sK79(X0,X1,X2) )
| ( vYesNo != sK78(X0,X1,X2) )
| ( vorop != sK77(X0,X1,X2) ) )
& ( ( vYesNo != sK79(X0,X1,X2) )
| ( vYesNo != sK78(X0,X1,X2) )
| ( vandop != sK77(X0,X1,X2) ) )
& ( ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vltop != sK77(X0,X1,X2) ) )
& ( ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vgtop != sK77(X0,X1,X2) ) )
& ( ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vdivop != sK77(X0,X1,X2) ) )
& ( ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vmulop != sK77(X0,X1,X2) ) )
& ( ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vsubop != sK77(X0,X1,X2) ) )
& ( ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vaddop != sK77(X0,X1,X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77,sK78,sK79]),skolemize(X3,sK77(X0,X1,X2)),skolemize(X4,sK78(X0,X1,X2)),skolemize(X5,sK79(X0,X1,X2))],[f570]) ).
tff(f578,plain,
! [X0: vBinOpT,X1: vAType,X2: vAType] :
( ~ sP16(X0,X1,X2)
| ( ( vYesNo = X2 )
& ( vYesNo = X1 )
& ( vorop = X0 ) ) ),
inference(nnf_transformation,[],[f507]) ).
tff(f582,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP23(X0,X1)
| ? [X7: vQID,X8: vAval,X9: vAnsMap,X10: vQID] :
( ( vlookupAnsMap(X0,X1) = vlookupAnsMap(X10,X9) )
& ( X1 = vabind(X7,X8,X9) )
& ( X0 = X10 )
& ( X10 != X7 ) ) ),
inference(nnf_transformation,[],[f515]) ).
tff(f583,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP23(X0,X1)
| ? [X2: vQID,X3: vAval,X4: vAnsMap,X5: vQID] :
( ( vlookupAnsMap(X0,X1) = vlookupAnsMap(X5,X4) )
& ( vabind(X2,X3,X4) = X1 )
& ( X0 = X5 )
& ( X2 != X5 ) ) ),
inference(rectify,[],[f582]) ).
tff(f584,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP23(X0,X1)
| ( ( vlookupAnsMap(X0,X1) = vlookupAnsMap(sK87(X0,X1),sK86(X0,X1)) )
& ( vabind(sK84(X0,X1),sK85(X0,X1),sK86(X0,X1)) = X1 )
& ( sK87(X0,X1) = X0 )
& ( sK84(X0,X1) != sK87(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84,sK85,sK86,sK87]),skolemize(X2,sK84(X0,X1)),skolemize(X3,sK85(X0,X1)),skolemize(X4,sK86(X0,X1)),skolemize(X5,sK87(X0,X1))],[f583]) ).
tff(f590,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP25(X0,X1)
| ? [X7: vQID,X8: vAType,X9: vATMap,X10: vQID] :
( ( vlookupATMap(X0,X1) = vlookupATMap(X10,X9) )
& ( X1 = vatmbind(X7,X8,X9) )
& ( X0 = X10 )
& ( X10 != X7 ) ) ),
inference(nnf_transformation,[],[f518]) ).
tff(f591,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP25(X0,X1)
| ? [X2: vQID,X3: vAType,X4: vATMap,X5: vQID] :
( ( vlookupATMap(X0,X1) = vlookupATMap(X5,X4) )
& ( vatmbind(X2,X3,X4) = X1 )
& ( X0 = X5 )
& ( X2 != X5 ) ) ),
inference(rectify,[],[f590]) ).
tff(f592,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP25(X0,X1)
| ( ( vlookupATMap(X0,X1) = vlookupATMap(sK99(X0,X1),sK98(X0,X1)) )
& ( vatmbind(sK96(X0,X1),sK97(X0,X1),sK98(X0,X1)) = X1 )
& ( sK99(X0,X1) = X0 )
& ( sK96(X0,X1) != sK99(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK96,sK97,sK98,sK99]),skolemize(X2,sK96(X0,X1)),skolemize(X3,sK97(X0,X1)),skolemize(X4,sK98(X0,X1)),skolemize(X5,sK99(X0,X1))],[f591]) ).
tff(f599,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP27(X0,X1)
| ? [X8: vQMap,X9: vQID,X10: vAType,X11: vLabel,X12: vQID] :
( ( vlookupQMap(X0,X1) = vlookupQMap(X12,X8) )
& ( X1 = vqmbind(X9,X11,X10,X8) )
& ( X0 = X12 )
& ( X12 != X9 ) ) ),
inference(nnf_transformation,[],[f521]) ).
tff(f600,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP27(X0,X1)
| ? [X2: vQMap,X3: vQID,X4: vAType,X5: vLabel,X6: vQID] :
( ( vlookupQMap(X0,X1) = vlookupQMap(X6,X2) )
& ( vqmbind(X3,X5,X4,X2) = X1 )
& ( X0 = X6 )
& ( X3 != X6 ) ) ),
inference(rectify,[],[f599]) ).
tff(f601,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP27(X0,X1)
| ( ( vlookupQMap(X0,X1) = vlookupQMap(sK116(X0,X1),sK112(X0,X1)) )
& ( vqmbind(sK113(X0,X1),sK115(X0,X1),sK114(X0,X1),sK112(X0,X1)) = X1 )
& ( sK116(X0,X1) = X0 )
& ( sK113(X0,X1) != sK116(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK112,sK113,sK114,sK115,sK116]),skolemize(X2,sK112(X0,X1)),skolemize(X3,sK113(X0,X1)),skolemize(X4,sK114(X0,X1)),skolemize(X5,sK115(X0,X1)),skolemize(X6,sK116(X0,X1))],[f600]) ).
tff(f618,plain,
! [X2: vExp,X1: vQuestionnaire,X4: vQuestionnaire] :
( ~ sP29(X2,X1,X4)
| ? [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 = X8 )
& ( X1 = X7 )
& ( vconstant(vB(vno)) = X2 ) ) ),
inference(nnf_transformation,[],[f524]) ).
tff(f619,plain,
! [X0: vExp,X1: vQuestionnaire,X2: vQuestionnaire] :
( ~ sP29(X0,X1,X2)
| ? [X3: vQuestionnaire,X4: vQuestionnaire] :
( ( X2 = X4 )
& ( X1 = X3 )
& ( vconstant(vB(vno)) = X0 ) ) ),
inference(rectify,[],[f618]) ).
tff(f620,plain,
! [X0: vExp,X1: vQuestionnaire,X2: vQuestionnaire] :
( ~ sP29(X0,X1,X2)
| ( ( sK158(X0,X1,X2) = X2 )
& ( sK157(X0,X1,X2) = X1 )
& ( vconstant(vB(vno)) = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK157,sK158]),skolemize(X3,sK157(X0,X1,X2)),skolemize(X4,sK158(X0,X1,X2))],[f619]) ).
tff(f624,plain,
! [X2: vExp,X1: vQuestionnaire,X4: vQuestionnaire] :
( ~ sP30(X2,X1,X4)
| ? [X7: vQuestionnaire,X8: vQuestionnaire] :
( ( X4 = X8 )
& ( X1 = X7 )
& ( vconstant(vB(vno)) = X2 ) ) ),
inference(nnf_transformation,[],[f526]) ).
tff(f625,plain,
! [X0: vExp,X1: vQuestionnaire,X2: vQuestionnaire] :
( ~ sP30(X0,X1,X2)
| ? [X3: vQuestionnaire,X4: vQuestionnaire] :
( ( X2 = X4 )
& ( X1 = X3 )
& ( vconstant(vB(vno)) = X0 ) ) ),
inference(rectify,[],[f624]) ).
tff(f626,plain,
! [X0: vExp,X1: vQuestionnaire,X2: vQuestionnaire] :
( ~ sP30(X0,X1,X2)
| ( ( sK164(X0,X1,X2) = X2 )
& ( sK163(X0,X1,X2) = X1 )
& ( vconstant(vB(vno)) = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK163,sK164]),skolemize(X3,sK163(X0,X1,X2)),skolemize(X4,sK164(X0,X1,X2))],[f625]) ).
tff(f708,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP0(X0,X1,X2)
| ( vB(sK71(X2)) = X2 ) ),
inference(cnf_transformation,[],[f557]) ).
tff(f709,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP0(X0,X1,X2)
| ( vB(sK70(X1)) = X1 ) ),
inference(cnf_transformation,[],[f557]) ).
tff(f710,plain,
! [X2: vAval,X0: vBinOpT,X1: vAval] :
( ~ sP0(X0,X1,X2)
| ( vorop = X0 ) ),
inference(cnf_transformation,[],[f557]) ).
tff(f750,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( vnoAType = vcheckBinOp(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f751,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( sK79(X0,X1,X2) = X2 ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f752,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( sK78(X0,X1,X2) = X1 ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f753,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( sK77(X0,X1,X2) = X0 ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f754,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( veqop != sK77(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f755,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( vYesNo != sK79(X0,X1,X2) )
| ( vYesNo != sK78(X0,X1,X2) )
| ( vorop != sK77(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f756,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( vYesNo != sK79(X0,X1,X2) )
| ( vYesNo != sK78(X0,X1,X2) )
| ( vandop != sK77(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f757,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vltop != sK77(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f758,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vgtop != sK77(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f759,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vdivop != sK77(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f760,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vmulop != sK77(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f761,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vsubop != sK77(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f762,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP7(X0,X1,X2)
| ( vNumber != sK79(X0,X1,X2) )
| ( vNumber != sK78(X0,X1,X2) )
| ( vaddop != sK77(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f571]) ).
tff(f785,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP16(X0,X1,X2)
| ( vYesNo = X2 ) ),
inference(cnf_transformation,[],[f578]) ).
tff(f786,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP16(X0,X1,X2)
| ( vYesNo = X1 ) ),
inference(cnf_transformation,[],[f578]) ).
tff(f787,plain,
! [X2: vAType,X0: vBinOpT,X1: vAType] :
( ~ sP16(X0,X1,X2)
| ( vorop = X0 ) ),
inference(cnf_transformation,[],[f578]) ).
tff(f809,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP23(X0,X1)
| ( vlookupAnsMap(X0,X1) = vlookupAnsMap(sK87(X0,X1),sK86(X0,X1)) ) ),
inference(cnf_transformation,[],[f584]) ).
tff(f810,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP23(X0,X1)
| ( vabind(sK84(X0,X1),sK85(X0,X1),sK86(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f584]) ).
tff(f811,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP23(X0,X1)
| ( sK87(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f584]) ).
tff(f812,plain,
! [X0: vQID,X1: vAnsMap] :
( ~ sP23(X0,X1)
| ( sK84(X0,X1) != sK87(X0,X1) ) ),
inference(cnf_transformation,[],[f584]) ).
tff(f828,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP25(X0,X1)
| ( vlookupATMap(X0,X1) = vlookupATMap(sK99(X0,X1),sK98(X0,X1)) ) ),
inference(cnf_transformation,[],[f592]) ).
tff(f829,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP25(X0,X1)
| ( vatmbind(sK96(X0,X1),sK97(X0,X1),sK98(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f592]) ).
tff(f830,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP25(X0,X1)
| ( sK99(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f592]) ).
tff(f831,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP25(X0,X1)
| ( sK96(X0,X1) != sK99(X0,X1) ) ),
inference(cnf_transformation,[],[f592]) ).
tff(f853,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP27(X0,X1)
| ( vlookupQMap(X0,X1) = vlookupQMap(sK116(X0,X1),sK112(X0,X1)) ) ),
inference(cnf_transformation,[],[f601]) ).
tff(f854,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP27(X0,X1)
| ( vqmbind(sK113(X0,X1),sK115(X0,X1),sK114(X0,X1),sK112(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f601]) ).
tff(f855,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP27(X0,X1)
| ( sK116(X0,X1) = X0 ) ),
inference(cnf_transformation,[],[f601]) ).
tff(f856,plain,
! [X0: vQID,X1: vQMap] :
( ~ sP27(X0,X1)
| ( sK113(X0,X1) != sK116(X0,X1) ) ),
inference(cnf_transformation,[],[f601]) ).
tff(f1005,plain,
! [X2: vQuestionnaire,X0: vExp,X1: vQuestionnaire] :
( ~ sP29(X0,X1,X2)
| ( sK158(X0,X1,X2) = X2 ) ),
inference(cnf_transformation,[],[f620]) ).
tff(f1006,plain,
! [X2: vQuestionnaire,X0: vExp,X1: vQuestionnaire] :
( ~ sP29(X0,X1,X2)
| ( sK157(X0,X1,X2) = X1 ) ),
inference(cnf_transformation,[],[f620]) ).
tff(f1007,plain,
! [X2: vQuestionnaire,X0: vExp,X1: vQuestionnaire] :
( ~ sP29(X0,X1,X2)
| ( vconstant(vB(vno)) = X0 ) ),
inference(cnf_transformation,[],[f620]) ).
tff(f1025,plain,
! [X2: vQuestionnaire,X0: vExp,X1: vQuestionnaire] :
( ~ sP30(X0,X1,X2)
| ( sK164(X0,X1,X2) = X2 ) ),
inference(cnf_transformation,[],[f626]) ).
tff(f1026,plain,
! [X2: vQuestionnaire,X0: vExp,X1: vQuestionnaire] :
( ~ sP30(X0,X1,X2)
| ( sK163(X0,X1,X2) = X1 ) ),
inference(cnf_transformation,[],[f626]) ).
tff(f1027,plain,
! [X2: vQuestionnaire,X0: vExp,X1: vQuestionnaire] :
( ~ sP30(X0,X1,X2)
| ( vconstant(vB(vno)) = X0 ) ),
inference(cnf_transformation,[],[f626]) ).
tff(f1040,plain,
! [X0: vQID,X1: vATMap] :
( ~ sP25(X0,X1)
| ( vecheck(X1,vqvar(X0)) = vecheck(sK98(X0,X1),vqvar(sK99(X0,X1))) ) ),
inference(definition_unfolding,[],[f828,f887,f887]) ).
tcf(c_128,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( X0_vBinOpT = vorop )
| ~ sP0(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f710]) ).
tcf(c_129,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vB(sK70(X0_vAval)) = X0_vAval )
| ~ sP0(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f709]) ).
tcf(c_130,plain,
! [X0_vAval: vAval,X0_vBinOpT: vBinOpT,X1_vAval: vAval] :
( ( vB(sK71(X1_vAval)) = X1_vAval )
| ~ sP0(X0_vBinOpT,X0_vAval,X1_vAval) ),
inference(cnf_transformation,[],[f708]) ).
tcf(c_170,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != vaddop ) ),
inference(cnf_transformation,[],[f762]) ).
tcf(c_171,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != vsubop ) ),
inference(cnf_transformation,[],[f761]) ).
tcf(c_172,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != vmulop ) ),
inference(cnf_transformation,[],[f760]) ).
tcf(c_173,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != vdivop ) ),
inference(cnf_transformation,[],[f759]) ).
tcf(c_174,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != vgtop ) ),
inference(cnf_transformation,[],[f758]) ).
tcf(c_175,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) != vNumber )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != vltop ) ),
inference(cnf_transformation,[],[f757]) ).
tcf(c_176,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) != vYesNo )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) != vYesNo )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != vandop ) ),
inference(cnf_transformation,[],[f756]) ).
tcf(c_177,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) != vYesNo )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) != vYesNo )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != vorop ) ),
inference(cnf_transformation,[],[f755]) ).
tcf(c_178,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != veqop ) ),
inference(cnf_transformation,[],[f754]) ).
tcf(c_179,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) = X0_vBinOpT )
| ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f753]) ).
tcf(c_180,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) = X0_vAType )
| ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f752]) ).
tcf(c_181,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) = X1_vAType )
| ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f751]) ).
tcf(c_182,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType )
| ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f750]) ).
tcf(c_205,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vBinOpT = vorop )
| ~ sP16(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f787]) ).
tcf(c_206,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X0_vAType = vYesNo )
| ~ sP16(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f786]) ).
tcf(c_207,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vYesNo )
| ~ sP16(X0_vBinOpT,X0_vAType,X1_vAType) ),
inference(cnf_transformation,[],[f785]) ).
tcf(c_229,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ~ sP23(X0_vQID,X0_vAnsMap)
| ( sK84(X0_vQID,X0_vAnsMap) != sK87(X0_vQID,X0_vAnsMap) ) ),
inference(cnf_transformation,[],[f812]) ).
tcf(c_230,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ~ sP23(X0_vQID,X0_vAnsMap) ),
inference(cnf_transformation,[],[f811]) ).
tcf(c_231,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap )
| ~ sP23(X0_vQID,X0_vAnsMap) ),
inference(cnf_transformation,[],[f810]) ).
tcf(c_232,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ~ sP23(X0_vQID,X0_vAnsMap) ),
inference(cnf_transformation,[],[f809]) ).
tcf(c_248,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ~ sP25(X0_vQID,X0_vATMap)
| ( sK96(X0_vQID,X0_vATMap) != sK99(X0_vQID,X0_vATMap) ) ),
inference(cnf_transformation,[],[f831]) ).
tcf(c_249,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ~ sP25(X0_vQID,X0_vATMap) ),
inference(cnf_transformation,[],[f830]) ).
tcf(c_250,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap )
| ~ sP25(X0_vQID,X0_vATMap) ),
inference(cnf_transformation,[],[f829]) ).
tcf(c_251,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ~ sP25(X0_vQID,X0_vATMap) ),
inference(cnf_transformation,[],[f1040]) ).
tcf(c_273,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ~ sP27(X0_vQID,X0_vQMap)
| ( sK113(X0_vQID,X0_vQMap) != sK116(X0_vQID,X0_vQMap) ) ),
inference(cnf_transformation,[],[f856]) ).
tcf(c_274,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ~ sP27(X0_vQID,X0_vQMap) ),
inference(cnf_transformation,[],[f855]) ).
tcf(c_275,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap )
| ~ sP27(X0_vQID,X0_vQMap) ),
inference(cnf_transformation,[],[f854]) ).
tcf(c_276,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ~ sP27(X0_vQID,X0_vQMap) ),
inference(cnf_transformation,[],[f853]) ).
tcf(c_424,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = X0_vExp )
| ~ sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) ),
inference(cnf_transformation,[],[f1007]) ).
tcf(c_425,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire] :
( ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ~ sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) ),
inference(cnf_transformation,[],[f1006]) ).
tcf(c_426,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire] :
( ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ~ sP29(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) ),
inference(cnf_transformation,[],[f1005]) ).
tcf(c_444,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = X0_vExp )
| ~ sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) ),
inference(cnf_transformation,[],[f1027]) ).
tcf(c_445,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire] :
( ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ~ sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) ),
inference(cnf_transformation,[],[f1026]) ).
tcf(c_446,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X1_vQuestionnaire: vQuestionnaire] :
( ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ~ sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) ),
inference(cnf_transformation,[],[f1025]) ).
tcf(c_283990,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_427,c_426]) ).
tcf(c_283991,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_427,c_425]) ).
tcf(c_283992,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_427,c_424]) ).
tcf(c_284043,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_428,c_426]) ).
tcf(c_284044,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_428,c_425]) ).
tcf(c_284045,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_428,c_424]) ).
tcf(c_284096,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_429,c_426]) ).
tcf(c_284097,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_429,c_425]) ).
tcf(c_284098,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap))
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_429,c_424]) ).
tcf(c_285607,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_282015,c_232]) ).
tcf(c_285608,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282015,c_231]) ).
tcf(c_285609,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_282015,c_230]) ).
tcf(c_286725,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282278,c_251]) ).
tcf(c_286726,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282278,c_250]) ).
tcf(c_286727,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_282278,c_249]) ).
tcf(c_287025,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_281991,c_232]) ).
tcf(c_287026,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_281991,c_231]) ).
tcf(c_287027,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_281991,c_230]) ).
tcf(c_287050,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_281992,c_232]) ).
tcf(c_287051,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_281992,c_231]) ).
tcf(c_287052,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_281992,c_230]) ).
tcf(c_287087,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_281993,c_232]) ).
tcf(c_287088,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_281993,c_231]) ).
tcf(c_287089,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_281993,c_230]) ).
tcf(c_287118,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_281994,c_232]) ).
tcf(c_287119,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_281994,c_231]) ).
tcf(c_287120,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK88(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_281994,c_230]) ).
tcf(c_287139,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_282013,c_232]) ).
tcf(c_287140,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282013,c_231]) ).
tcf(c_287141,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_282013,c_230]) ).
tcf(c_287171,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282014,c_232]) ).
tcf(c_287172,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282014,c_231]) ).
tcf(c_287173,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282014,c_230]) ).
tcf(c_287195,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_282016,c_232]) ).
tcf(c_287196,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282016,c_231]) ).
tcf(c_287197,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( X0_vAnsMap = vaempty )
| ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_282016,c_230]) ).
tcf(c_287213,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_282035,c_232]) ).
tcf(c_287214,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282035,c_231]) ).
tcf(c_287215,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vsomeAval(sK81(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_282035,c_230]) ).
tcf(c_287277,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282036,c_232]) ).
tcf(c_287278,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282036,c_231]) ).
tcf(c_287279,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vabind(sK80(X0_vQID,X0_vAnsMap),sK81(X0_vQID,X0_vAnsMap),sK82(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282036,c_230]) ).
tcf(c_287295,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_282037,c_232]) ).
tcf(c_287296,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282037,c_231]) ).
tcf(c_287297,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK83(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval ) ),
inference(superposition,[status(thm)],[c_282037,c_230]) ).
tcf(c_287316,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vlookupAnsMap(sK87(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = vlookupAnsMap(X0_vQID,X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_282038,c_232]) ).
tcf(c_287317,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval )
| ( vabind(sK84(X0_vQID,X0_vAnsMap),sK85(X0_vQID,X0_vAnsMap),sK86(X0_vQID,X0_vAnsMap)) = X0_vAnsMap ) ),
inference(superposition,[status(thm)],[c_282038,c_231]) ).
tcf(c_287318,plain,
! [X0_vAnsMap: vAnsMap,X0_vQID: vQID] :
( ( sK87(X0_vQID,X0_vAnsMap) = X0_vQID )
| ( sK80(X0_vQID,X0_vAnsMap) = sK83(X0_vQID,X0_vAnsMap) )
| ( vlookupAnsMap(X0_vQID,X0_vAnsMap) = vnoAval ) ),
inference(superposition,[status(thm)],[c_282038,c_230]) ).
tcf(c_288182,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282246,c_251]) ).
tcf(c_288183,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282246,c_250]) ).
tcf(c_288184,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282246,c_249]) ).
tcf(c_288215,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282247,c_251]) ).
tcf(c_288216,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282247,c_250]) ).
tcf(c_288217,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282247,c_249]) ).
tcf(c_288240,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282248,c_251]) ).
tcf(c_288241,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282248,c_250]) ).
tcf(c_288242,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_282248,c_249]) ).
tcf(c_288262,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282249,c_251]) ).
tcf(c_288263,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282249,c_250]) ).
tcf(c_288264,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK100(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_282249,c_249]) ).
tcf(c_288288,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282276,c_251]) ).
tcf(c_288289,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282276,c_250]) ).
tcf(c_288290,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282276,c_249]) ).
tcf(c_288306,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282277,c_251]) ).
tcf(c_288307,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282277,c_250]) ).
tcf(c_288308,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282277,c_249]) ).
tcf(c_288326,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282279,c_251]) ).
tcf(c_288327,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282279,c_250]) ).
tcf(c_288328,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( X0_vATMap = vatmempty )
| ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) ) ),
inference(superposition,[status(thm)],[c_282279,c_249]) ).
tcf(c_288348,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282508,c_276]) ).
tcf(c_288349,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282508,c_275]) ).
tcf(c_288350,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_282508,c_274]) ).
tcf(c_288381,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282298,c_251]) ).
tcf(c_288382,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282298,c_250]) ).
tcf(c_288383,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vsomeAType(sK93(X0_vQID,X0_vATMap)) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282298,c_249]) ).
tcf(c_288402,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282299,c_251]) ).
tcf(c_288403,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282299,c_250]) ).
tcf(c_288404,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vatmbind(sK92(X0_vQID,X0_vATMap),sK93(X0_vQID,X0_vATMap),sK94(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282299,c_249]) ).
tcf(c_288424,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK95(X0_vQID,X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282300,c_251]) ).
tcf(c_288425,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK95(X0_vQID,X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282300,c_250]) ).
tcf(c_288426,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK95(X0_vQID,X0_vATMap) = X0_vQID )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282300,c_249]) ).
tcf(c_288495,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vecheck(sK98(X0_vQID,X0_vATMap),vqvar(sK99(X0_vQID,X0_vATMap))) = vecheck(X0_vATMap,vqvar(X0_vQID)) ) ),
inference(superposition,[status(thm)],[c_282301,c_251]) ).
tcf(c_288496,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType )
| ( vatmbind(sK96(X0_vQID,X0_vATMap),sK97(X0_vQID,X0_vATMap),sK98(X0_vQID,X0_vATMap)) = X0_vATMap ) ),
inference(superposition,[status(thm)],[c_282301,c_250]) ).
tcf(c_288497,plain,
! [X0_vATMap: vATMap,X0_vQID: vQID] :
( ( sK99(X0_vQID,X0_vATMap) = X0_vQID )
| ( sK92(X0_vQID,X0_vATMap) = sK95(X0_vQID,X0_vATMap) )
| ( vecheck(X0_vATMap,vqvar(X0_vQID)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_282301,c_249]) ).
tcf(c_289902,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282542,c_276]) ).
tcf(c_289903,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282542,c_275]) ).
tcf(c_289904,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282542,c_274]) ).
tcf(c_289946,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282550,c_276]) ).
tcf(c_289947,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282550,c_275]) ).
tcf(c_289948,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282550,c_274]) ).
tcf(c_289990,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282582,c_276]) ).
tcf(c_289991,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282582,c_275]) ).
tcf(c_289992,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( X0_vQMap = vqmempty )
| ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282582,c_274]) ).
tcf(c_290034,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282613,c_276]) ).
tcf(c_290035,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282613,c_275]) ).
tcf(c_290036,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282613,c_274]) ).
tcf(c_290055,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282614,c_276]) ).
tcf(c_290056,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282614,c_275]) ).
tcf(c_290057,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282614,c_274]) ).
tcf(c_290144,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282615,c_276]) ).
tcf(c_290145,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282615,c_275]) ).
tcf(c_290146,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282615,c_274]) ).
tcf(c_290167,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282616,c_276]) ).
tcf(c_290168,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282616,c_275]) ).
tcf(c_290169,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK117(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID ) ),
inference(superposition,[status(thm)],[c_282616,c_274]) ).
tcf(c_290194,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282635,c_276]) ).
tcf(c_290195,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282635,c_275]) ).
tcf(c_290196,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vsomeQuestion(sK111(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282635,c_274]) ).
tcf(c_290321,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282636,c_276]) ).
tcf(c_290322,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282636,c_275]) ).
tcf(c_290323,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vqmbind(sK108(X0_vQID,X0_vQMap),sK110(X0_vQID,X0_vQMap),sK109(X0_vQID,X0_vQMap),sK107(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282636,c_274]) ).
tcf(c_290339,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282637,c_276]) ).
tcf(c_290340,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282637,c_275]) ).
tcf(c_290341,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK108(X0_vQID,X0_vQMap) = sK111(X0_vQID,X0_vQMap) )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282637,c_274]) ).
tcf(c_290357,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK111(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vlookupQMap(sK116(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = vlookupQMap(X0_vQID,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_282638,c_276]) ).
tcf(c_290358,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK111(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion )
| ( vqmbind(sK113(X0_vQID,X0_vQMap),sK115(X0_vQID,X0_vQMap),sK114(X0_vQID,X0_vQMap),sK112(X0_vQID,X0_vQMap)) = X0_vQMap ) ),
inference(superposition,[status(thm)],[c_282638,c_275]) ).
tcf(c_290359,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID] :
( ( sK116(X0_vQID,X0_vQMap) = X0_vQID )
| ( sK111(X0_vQID,X0_vQMap) = X0_vQID )
| ( vlookupQMap(X0_vQID,X0_vQMap) = vnoQuestion ) ),
inference(superposition,[status(thm)],[c_282638,c_274]) ).
tcf(c_297899,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType,X2_vAType: vAType] :
( ( X2_vAType = vYesNo )
| ( X2_vAType = vNumber )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) = vNumber )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) = X2_vAType )
| ~ sP7(X0_vBinOpT,X0_vAType,X1_vAType)
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) != vYesNo )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) != vorop ) ),
inference(superposition,[status(thm)],[c_283379,c_177]) ).
tcf(c_302790,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vyes)) = X0_vExp )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283988,c_426]) ).
tcf(c_302791,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vyes)) = X0_vExp )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283988,c_425]) ).
tcf(c_302792,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283988,c_424]) ).
tcf(c_302824,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283989,c_426]) ).
tcf(c_302825,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283989,c_425]) ).
tcf(c_302826,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283989,c_424]) ).
tcf(c_302968,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_283990]) ).
tcf(c_302969,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vconstant(vB(vyes)) = vconstant(X0_vAval) )
| ( sK158(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_283990]) ).
tcf(c_302970,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vconstant(vB(vyes)) = vqvar(X0_vQID) )
| ( sK158(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283166,c_283990]) ).
tcf(c_302971,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vunop(X0_vUnOpT,vqvar(X0_vQID)) = vconstant(vB(vyes)) )
| ( sK158(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_285234,c_283990]) ).
tcf(c_302972,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp) = vconstant(vB(vyes)) )
| ( sK158(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_293524,c_283990]) ).
tcf(c_302974,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( sK158(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_283990,c_452]) ).
tcf(c_302975,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283990,c_451]) ).
tcf(c_302976,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283990,c_450]) ).
tcf(c_302977,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283990,c_449]) ).
tcf(c_302978,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283990,c_448]) ).
tcf(c_302979,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK158(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283990,c_447]) ).
tcf(c_302981,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( ( sK158(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_302970,c_337,c_414]) ).
tcf(c_302984,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vyes)) = vconstant(X0_vAval) )
| ( sK158(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_302969,c_337]) ).
tcf(c_302988,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_302968,c_337]) ).
tcf(c_302993,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( ( sK158(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_302971,c_337,c_405]) ).
tcf(c_302996,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( ( sK158(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_302972,c_337,c_410]) ).
tcf(c_303075,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_283991]) ).
tcf(c_303076,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vconstant(vB(vyes)) = vconstant(X0_vAval) )
| ( sK157(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_283991]) ).
tcf(c_303077,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vconstant(vB(vyes)) = vqvar(X0_vQID) )
| ( sK157(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283166,c_283991]) ).
tcf(c_303078,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vunop(X0_vUnOpT,vqvar(X0_vQID)) = vconstant(vB(vyes)) )
| ( sK157(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_285234,c_283991]) ).
tcf(c_303079,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp) = vconstant(vB(vyes)) )
| ( sK157(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_293524,c_283991]) ).
tcf(c_303081,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vconstant(vB(vyes)) = X1_vExp )
| ( sK157(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_283991,c_452]) ).
tcf(c_303082,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283991,c_451]) ).
tcf(c_303083,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283991,c_450]) ).
tcf(c_303084,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283991,c_449]) ).
tcf(c_303085,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283991,c_448]) ).
tcf(c_303086,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK157(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283991,c_447]) ).
tcf(c_303088,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( ( sK157(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303077,c_337,c_414]) ).
tcf(c_303091,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vyes)) = vconstant(X0_vAval) )
| ( sK157(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303076,c_337]) ).
tcf(c_303095,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303075,c_337]) ).
tcf(c_303100,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( ( sK157(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303078,c_337,c_405]) ).
tcf(c_303103,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( ( sK157(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303079,c_337,c_410]) ).
tcf(c_303190,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_283992]) ).
tcf(c_303191,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vconstant(vB(vno)) = vconstant(X0_vAval) )
| ( vconstant(vB(vyes)) = vconstant(X0_vAval) )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_283992]) ).
tcf(c_303192,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vconstant(vB(vno)) = vqvar(X0_vQID) )
| ( vconstant(vB(vyes)) = vqvar(X0_vQID) )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283166,c_283992]) ).
tcf(c_303193,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vunop(X0_vUnOpT,vqvar(X0_vQID)) = vconstant(vB(vno)) )
| ( vunop(X0_vUnOpT,vqvar(X0_vQID)) = vconstant(vB(vyes)) )
| ( vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_285234,c_283992]) ).
tcf(c_303194,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp) = vconstant(vB(vno)) )
| ( vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp) = vconstant(vB(vyes)) )
| ( vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_293524,c_283992]) ).
tcf(c_303196,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vconstant(vB(vno)) = X1_vExp )
| ( vconstant(vB(vyes)) = X1_vExp )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_283992,c_452]) ).
tcf(c_303197,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_283992,c_451]) ).
tcf(c_303198,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283992,c_450]) ).
tcf(c_303199,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283992,c_449]) ).
tcf(c_303200,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283992,c_448]) ).
tcf(c_303201,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_283992,c_447]) ).
tcf(c_303203,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire] : vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_303192,c_337,c_414,c_414]) ).
tcf(c_303204,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = vconstant(X0_vAval) )
| ( vconstant(vB(vyes)) = vconstant(X0_vAval) )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303191,c_337]) ).
tcf(c_303208,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303190,c_337]) ).
tcf(c_303213,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] : vreduce(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_303193,c_337,c_405,c_405]) ).
tcf(c_303214,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] : vreduce(vqcond(vbinop(vqvar(X0_vQID),X0_vBinOpT,X0_vExp),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_303194,c_337,c_410,c_410]) ).
tcf(c_303258,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vnoQConf)
| ( vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_303203,c_430]) ).
tcf(c_303259,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] : vreduce(vqseq(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_303258,c_434,c_63]) ).
tcf(c_303316,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284041,c_426]) ).
tcf(c_303317,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284041,c_425]) ).
tcf(c_303318,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284041,c_424]) ).
tcf(c_303361,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284042,c_426]) ).
tcf(c_303362,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284042,c_425]) ).
tcf(c_303363,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284042,c_424]) ).
tcf(c_303400,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_284043]) ).
tcf(c_303401,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK159(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_284043]) ).
tcf(c_303406,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_284043,c_452]) ).
tcf(c_303407,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284043,c_451]) ).
tcf(c_303408,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284043,c_450]) ).
tcf(c_303409,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( sK158(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284043,c_449]) ).
tcf(c_303410,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( sK158(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284043,c_448]) ).
tcf(c_303411,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( sK158(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284043,c_447]) ).
tcf(c_303413,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK159(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303401,c_337]) ).
tcf(c_303417,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK154(X0_vExp) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303400,c_337]) ).
tcf(c_303599,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_284044]) ).
tcf(c_303600,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK159(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_284044]) ).
tcf(c_303605,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_284044,c_452]) ).
tcf(c_303606,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284044,c_451]) ).
tcf(c_303607,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284044,c_450]) ).
tcf(c_303608,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( sK157(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284044,c_449]) ).
tcf(c_303609,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( sK157(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284044,c_448]) ).
tcf(c_303610,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( sK157(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284044,c_447]) ).
tcf(c_303612,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK159(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303600,c_337]) ).
tcf(c_303616,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK154(X0_vExp) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303599,c_337]) ).
tcf(c_303758,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_284045]) ).
tcf(c_303759,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vconstant(vB(vno)) = vconstant(X0_vAval) )
| ( sK159(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_284045]) ).
tcf(c_303764,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vconstant(vB(vno)) = X1_vExp )
| ( sK159(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_284045,c_452]) ).
tcf(c_303765,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284045,c_451]) ).
tcf(c_303766,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284045,c_450]) ).
tcf(c_303767,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284045,c_449]) ).
tcf(c_303768,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284045,c_448]) ).
tcf(c_303769,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284045,c_447]) ).
tcf(c_303771,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = vconstant(X0_vAval) )
| ( sK159(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303759,c_337]) ).
tcf(c_303775,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK159(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303758,c_337]) ).
tcf(c_303878,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284094,c_426]) ).
tcf(c_303879,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284094,c_425]) ).
tcf(c_303880,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(sK74(vreduceExp(X0_vExp,X0_vAnsMap))) = vreduceExp(X0_vExp,X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284094,c_424]) ).
tcf(c_303993,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284095,c_426]) ).
tcf(c_303994,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284095,c_425]) ).
tcf(c_303995,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeExp(vunop(X0_vUnOpT,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))) = vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_284095,c_424]) ).
tcf(c_304026,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_284096]) ).
tcf(c_304027,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK160(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_284096]) ).
tcf(c_304032,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_284096,c_452]) ).
tcf(c_304033,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284096,c_451]) ).
tcf(c_304034,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284096,c_450]) ).
tcf(c_304035,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( sK158(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284096,c_449]) ).
tcf(c_304036,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( sK158(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284096,c_448]) ).
tcf(c_304037,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( sK158(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284096,c_447]) ).
tcf(c_304039,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK160(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304027,c_337]) ).
tcf(c_304043,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK154(X0_vExp) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304026,c_337]) ).
tcf(c_304169,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_284097]) ).
tcf(c_304170,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK160(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_284097]) ).
tcf(c_304175,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_284097,c_452]) ).
tcf(c_304176,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284097,c_451]) ).
tcf(c_304177,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284097,c_450]) ).
tcf(c_304178,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( sK157(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284097,c_449]) ).
tcf(c_304179,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( sK157(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284097,c_448]) ).
tcf(c_304180,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( sK157(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284097,c_447]) ).
tcf(c_304182,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK160(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304170,c_337]) ).
tcf(c_304186,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK154(X0_vExp) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304169,c_337]) ).
tcf(c_304314,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_283557,c_284098]) ).
tcf(c_304315,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vconstant(vB(vno)) = vconstant(X0_vAval) )
| ( sK160(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_335,c_284098]) ).
tcf(c_304320,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X1_vExp)
| ( vconstant(vB(vno)) = X1_vExp )
| ( sK160(X0_vQuestionnaire,X1_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X1_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(X0_vExp,X0_vBinOpT,vgetExp(vreduceExp(X1_vExp,X0_vAnsMap)))) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) )
| ~ vexpIsValue(X0_vExp) ),
inference(superposition,[status(thm)],[c_284098,c_452]) ).
tcf(c_304321,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf )
| ( vsomeExp(vbinop(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vBinOpT,X1_vExp)) = vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) ) ),
inference(superposition,[status(thm)],[c_284098,c_451]) ).
tcf(c_304322,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284098,c_450]) ).
tcf(c_304323,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284098,c_449]) ).
tcf(c_304324,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284098,c_448]) ).
tcf(c_304325,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP30(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284098,c_447]) ).
tcf(c_304327,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = vconstant(X0_vAval) )
| ( sK160(X0_vQuestionnaire,vconstant(X0_vAval),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vconstant(X0_vAval),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304315,c_337]) ).
tcf(c_304331,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( sK154(X0_vExp) = X0_vExp )
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK160(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304314,c_337]) ).
tcf(c_304469,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vnoQConf)
| ( vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_303213,c_430]) ).
tcf(c_304470,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire] : vreduce(vqseq(vqcond(vunop(X0_vUnOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_304469,c_434,c_63]) ).
tcf(c_304919,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( visSomeQC(vnoQConf)
| ( vqseq(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire) = vqempty )
| ( vreduce(vqseq(vqseq(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X3_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_303259,c_430]) ).
tcf(c_304920,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] : vreduce(vqseq(vqseq(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),X2_vQuestionnaire),X3_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_304919,c_434,c_101]) ).
tcf(c_305564,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284389,c_446]) ).
tcf(c_305565,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284389,c_445]) ).
tcf(c_305566,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284389,c_444]) ).
tcf(c_305596,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284392,c_446]) ).
tcf(c_305597,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284392,c_445]) ).
tcf(c_305598,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284392,c_444]) ).
tcf(c_305772,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284393,c_446]) ).
tcf(c_305773,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284393,c_445]) ).
tcf(c_305774,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284393,c_444]) ).
tcf(c_305803,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284394,c_446]) ).
tcf(c_305804,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284394,c_445]) ).
tcf(c_305805,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284394,c_444]) ).
tcf(c_305842,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284395,c_446]) ).
tcf(c_305843,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vyes)) = X0_vExp )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284395,c_445]) ).
tcf(c_305844,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( vconstant(vB(vyes)) = X0_vExp )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284395,c_444]) ).
tcf(c_305887,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284449,c_446]) ).
tcf(c_305888,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284449,c_445]) ).
tcf(c_305889,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284449,c_444]) ).
tcf(c_305917,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284450,c_446]) ).
tcf(c_305918,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284450,c_445]) ).
tcf(c_305919,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284450,c_444]) ).
tcf(c_305956,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284451,c_446]) ).
tcf(c_305957,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284451,c_445]) ).
tcf(c_305958,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284451,c_444]) ).
tcf(c_306046,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284453,c_446]) ).
tcf(c_306047,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284453,c_445]) ).
tcf(c_306048,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284453,c_444]) ).
tcf(c_306077,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284454,c_446]) ).
tcf(c_306078,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284454,c_445]) ).
tcf(c_306079,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284454,c_444]) ).
tcf(c_306307,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284455,c_446]) ).
tcf(c_306308,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284455,c_445]) ).
tcf(c_306309,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK165(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284455,c_444]) ).
tcf(c_306352,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284509,c_446]) ).
tcf(c_306353,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284509,c_445]) ).
tcf(c_306354,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
( ( vconstant(vB(vno)) = X0_vExp )
| ( vreduceExp(X0_vExp,X0_vAnsMap) = vnoExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284509,c_444]) ).
tcf(c_306382,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284510,c_446]) ).
tcf(c_306383,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284510,c_445]) ).
tcf(c_306384,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK160(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X3_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284510,c_444]) ).
tcf(c_306726,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284511,c_446]) ).
tcf(c_306727,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284511,c_445]) ).
tcf(c_306728,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap,X2_vQuestionnaire: vQuestionnaire,X3_vQuestionnaire: vQuestionnaire] :
( sP29(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK159(X2_vQuestionnaire,X0_vExp,X3_vQuestionnaire) = X2_vQuestionnaire )
| ( vreduce(vqcond(X0_vExp,X2_vQuestionnaire,X3_vQuestionnaire),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284511,c_444]) ).
tcf(c_306792,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284513,c_446]) ).
tcf(c_306793,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284513,c_445]) ).
tcf(c_306794,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType,X1_vQuestionnaire: vQuestionnaire,X1_vQMap: vQMap] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X1_vQMap) = vnoQConf )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284513,c_444]) ).
tcf(c_306952,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284514,c_446]) ).
tcf(c_306953,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284514,c_445]) ).
tcf(c_306954,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire,X1_vExp: vExp] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vbinop(X0_vExp,X0_vBinOpT,X1_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284514,c_444]) ).
tcf(c_307017,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK164(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284515,c_446]) ).
tcf(c_307018,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK163(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284515,c_445]) ).
tcf(c_307019,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vUnOpT: vUnOpT,X1_vQuestionnaire: vQuestionnaire] :
( vexpIsValue(X0_vExp)
| ( vconstant(vB(vno)) = X0_vExp )
| ( sK166(X0_vQuestionnaire,X0_vExp,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduceExp(vunop(X0_vUnOpT,X0_vExp),X0_vAnsMap) = vnoExp )
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqcond(vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)),X0_vQuestionnaire,X1_vQuestionnaire))) = vreduce(vqcond(X0_vExp,X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_284515,c_444]) ).
tcf(c_307479,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] :
( visSomeExp(vnoExp)
| ( vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)) = vconstant(vB(vno)) )
| ( vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)) = vconstant(vB(vyes)) )
| ( vreduce(vqcond(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_307468,c_283992]) ).
tcf(c_307526,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X0_vBinOpT: vBinOpT,X1_vQuestionnaire: vQuestionnaire] : vreduce(vqcond(vbinop(vconstant(X0_vAval),X0_vBinOpT,vqvar(X0_vQID)),X0_vQuestionnaire,X1_vQuestionnaire),vaempty,X0_vQMap) = vnoQConf,
inference(forward_subsumption_resolution,[status(thm)],[c_307479,c_337,c_410,c_410]) ).
tcf(c_307736,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| ( X0_vQID = X1_vQID )
| ( vconstant(vB(vno)) = vqvar(X0_vQID) )
| ( sK160(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_284098]) ).
tcf(c_307737,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| ( X0_vQID = X1_vQID )
| ( sK160(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_284097]) ).
tcf(c_307738,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| ( X0_vQID = X1_vQID )
| ( sK160(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_284096]) ).
tcf(c_307739,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| ( X0_vQID = X1_vQID )
| ( vconstant(vB(vno)) = vqvar(X0_vQID) )
| ( sK159(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_284045]) ).
tcf(c_307740,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| ( X0_vQID = X1_vQID )
| ( sK159(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_284044]) ).
tcf(c_307741,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| ( X0_vQID = X1_vQID )
| ( sK159(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_284043]) ).
tcf(c_307742,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| ( X0_vQID = X1_vQID )
| ( vconstant(vB(vno)) = vqvar(X0_vQID) )
| ( vconstant(vB(vyes)) = vqvar(X0_vQID) )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_283992]) ).
tcf(c_307743,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| ( X0_vQID = X1_vQID )
| ( vconstant(vB(vyes)) = vqvar(X0_vQID) )
| ( sK157(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_283991]) ).
tcf(c_307744,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( visSomeExp(vnoExp)
| ( X0_vQID = X1_vQID )
| ( vconstant(vB(vyes)) = vqvar(X0_vQID) )
| ( sK158(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(superposition,[status(thm)],[c_294037,c_283990]) ).
tcf(c_307795,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307742,c_337,c_414,c_414]) ).
tcf(c_307798,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( sK158(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307744,c_337,c_414]) ).
tcf(c_307802,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( sK157(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307743,c_337,c_414]) ).
tcf(c_307806,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( sK159(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307739,c_337,c_414]) ).
tcf(c_307810,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( sK160(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307736,c_337,c_414]) ).
tcf(c_307814,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( sK159(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK158(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307741,c_337]) ).
tcf(c_307819,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( sK159(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X0_vQuestionnaire )
| ( sK157(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307740,c_337]) ).
tcf(c_307824,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( sK160(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK158(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X1_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307738,c_337]) ).
tcf(c_307829,plain,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vQMap: vQMap,X0_vQID: vQID,X1_vQuestionnaire: vQuestionnaire,X1_vQID: vQID] :
( ( X0_vQID = X1_vQID )
| ( sK160(X0_vQuestionnaire,vqvar(X0_vQID),X1_vQuestionnaire) = X1_vQuestionnaire )
| ( sK157(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire) = X0_vQuestionnaire )
| ( vreduce(vqcond(vqvar(X0_vQID),X0_vQuestionnaire,X1_vQuestionnaire),vabind(X1_vQID,X0_vAval,vaempty),X0_vQMap) = vnoQConf ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307737,c_337]) ).
tcf(c_310330,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vnoAType )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_310322,c_182]) ).
tcf(c_310331,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ( sK79(X0_vBinOpT,X0_vAType,X1_vAType) = X1_vAType )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_310322,c_181]) ).
tcf(c_310332,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ( sK78(X0_vBinOpT,X0_vAType,X1_vAType) = X0_vAType )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_310322,c_180]) ).
tcf(c_310333,plain,
! [X0_vBinOpT: vBinOpT,X0_vAType: vAType,X1_vAType: vAType] :
( ( X1_vAType = vNumber )
| ( sK77(X0_vBinOpT,X0_vAType,X1_vAType) = X0_vBinOpT )
| ( vcheckBinOp(X0_vBinOpT,X0_vAType,X1_vAType) = vsomeAType(vYesNo) ) ),
inference(superposition,[status(thm)],[c_310322,c_179]) ).
tcf(c_310663,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_310608,c_310606,c_310603,c_310602,c_310599,c_310598,c_310595,c_310594,c_310591,c_310590,c_310589,c_310588,c_310587,c_310586,c_310585,c_310584,c_310569,c_310566,c_310563,c_310553,c_310552,c_310550,c_310548,c_310545,c_310543,c_310542,c_310541,c_310540,c_310539,c_310538,c_310537,c_310536,c_310535,c_310534,c_310533,c_310532,c_310531,c_310558,c_310557,c_310556,c_310546,c_310500,c_310497,c_310483,c_310482,c_310433,c_310432,c_310430,c_310429,c_310428,c_310427,c_310402,c_310401,c_310400,c_310399,c_310359,c_310358,c_310357,c_310356,c_310333,c_310332,c_310331,c_310330,c_310246,c_310245,c_310244,c_310243,c_310242,c_310240,c_310239,c_310235,c_310234,c_310233,c_310232,c_310231,c_310009,c_310008,c_310007,c_310006,c_310005,c_310004,c_310003,c_310002,c_310001,c_310000,c_309999,c_309998,c_309997,c_309996,c_309995,c_309994,c_309993,c_309992,c_309811,c_309810,c_309809,c_309808,c_309807,c_309806,c_309805,c_309804,c_309803,c_309802,c_309801,c_309800,c_309799,c_309798,c_309797,c_309796,c_309795,c_309794,c_309579,c_309578,c_309577,c_309576,c_309575,c_309574,c_309573,c_309572,c_309571,c_309570,c_309569,c_309568,c_309567,c_309566,c_309565,c_309564,c_309563,c_309562,c_309515,c_309514,c_309512,c_309511,c_309510,c_309509,c_309400,c_309399,c_309398,c_309397,c_309396,c_309394,c_309393,c_309385,c_309384,c_309383,c_309382,c_309381,c_309215,c_309214,c_309213,c_309212,c_309211,c_309210,c_309209,c_309208,c_309207,c_309206,c_309205,c_309204,c_309203,c_309202,c_309201,c_309200,c_309199,c_309198,c_308965,c_308964,c_308963,c_308962,c_308961,c_308960,c_308959,c_308958,c_308957,c_308956,c_308955,c_308954,c_308953,c_308952,c_308951,c_308950,c_308949,c_308948,c_308759,c_308758,c_308757,c_308756,c_308755,c_308754,c_308753,c_308752,c_308751,c_308750,c_308749,c_308748,c_308747,c_308746,c_308745,c_308744,c_308743,c_308742,c_308608,c_308610,c_308609,c_308605,c_308604,c_308603,c_308602,c_308601,c_308600,c_308599,c_308598,c_308597,c_308596,c_308595,c_308550,c_308549,c_308547,c_308546,c_308545,c_308544,c_308548,c_308431,c_308430,c_308429,c_308428,c_308427,c_308426,c_308425,c_308424,c_308423,c_308422,c_308421,c_308420,c_308419,c_308418,c_308417,c_308416,c_308415,c_308414,c_308384,c_308383,c_308382,c_308359,c_308358,c_308357,c_308223,c_308222,c_308220,c_308219,c_308218,c_308217,c_308221,c_308150,c_308149,c_308148,c_308147,c_308146,c_308145,c_308139,c_308141,c_308140,c_308119,c_308118,c_308117,c_308009,c_308007,c_308006,c_308005,c_308004,c_308008,c_307997,c_307999,c_307998,c_307940,c_307939,c_307938,c_307913,c_307912,c_307911,c_307829,c_307824,c_307819,c_307814,c_307810,c_307806,c_307802,c_307798,c_307795,c_307776,c_307772,c_307768,c_307764,c_307760,c_307759,c_307758,c_307757,c_307756,c_307754,c_307753,c_307752,c_307745,c_307744,c_307743,c_307742,c_307741,c_307740,c_307739,c_307738,c_307737,c_307736,c_307682,c_307681,c_307680,c_307633,c_307632,c_307631,c_307587,c_307586,c_307585,c_307584,c_307583,c_307582,c_307581,c_307580,c_307579,c_307526,c_307511,c_307508,c_307505,c_307502,c_307499,c_307496,c_307495,c_307494,c_307493,c_307491,c_307490,c_307489,c_307482,c_307479,c_307471,c_307468,c_307382,c_307381,c_307380,c_307318,c_307317,c_307316,c_307315,c_307311,c_307313,c_307312,c_307277,c_307276,c_307275,c_307273,c_307272,c_307271,c_307270,c_307268,c_307264,c_307266,c_307265,c_307261,c_307157,c_307153,c_307078,c_307077,c_307076,c_307081,c_307080,c_307079,c_307072,c_307071,c_307070,c_307069,c_307068,c_307067,c_307066,c_307065,c_307064,c_307063,c_307062,c_307061,c_307060,c_307059,c_307058,c_307057,c_307056,c_307055,c_307054,c_307053,c_307052,c_307049,c_307051,c_307050,c_307046,c_307045,c_307044,c_307043,c_307040,c_307042,c_307041,c_307019,c_307018,c_307017,c_306954,c_306953,c_306952,c_306890,c_306889,c_306888,c_306887,c_306884,c_306883,c_306882,c_306881,c_306879,c_306848,c_306847,c_306846,c_306845,c_306844,c_306843,c_306842,c_306841,c_306840,c_306839,c_306832,c_306831,c_306830,c_306828,c_306825,c_306817,c_306815,c_306813,c_306794,c_306793,c_306792,c_306728,c_306727,c_306726,c_306508,c_306506,c_306495,c_306494,c_306493,c_306465,c_306471,c_306470,c_306464,c_306384,c_306383,c_306382,c_306354,c_306353,c_306352,c_306309,c_306308,c_306307,c_306281,c_306279,c_306214,c_306213,c_306209,c_306200,c_306198,c_306191,c_306189,c_306188,c_306187,c_306134,c_306197,c_306194,c_306212,c_306121,c_306079,c_306078,c_306077,c_306048,c_306047,c_306046,c_305958,c_305957,c_305956,c_305919,c_305918,c_305917,c_305889,c_305888,c_305887,c_305844,c_305843,c_305842,c_305805,c_305804,c_305803,c_305774,c_305773,c_305772,c_305744,c_305712,c_305711,c_305708,c_305699,c_305689,c_305631,c_305638,c_305598,c_305597,c_305596,c_305566,c_305565,c_305564,c_305541,c_305540,c_305515,c_305514,c_305489,c_305488,c_305450,c_305449,c_305448,c_305446,c_305445,c_305442,c_305441,c_305440,c_305414,c_305413,c_305412,c_305411,c_305410,c_305409,c_305408,c_305407,c_305406,c_305404,c_305388,c_305387,c_305375,c_305364,c_305362,c_305341,c_305340,c_305335,c_305291,c_305284,c_305282,c_305279,c_305278,c_305247,c_305246,c_305245,c_305253,c_305252,c_305251,c_305193,c_305192,c_305172,c_305171,c_305170,c_305169,c_305167,c_305166,c_305054,c_305044,c_305032,c_305024,c_305023,c_305022,c_305021,c_305020,c_305019,c_305018,c_305017,c_305007,c_304988,c_304980,c_304964,c_304943,c_304942,c_304925,c_304920,c_304919,c_304770,c_304766,c_304741,c_304740,c_304739,c_304733,c_304732,c_304731,c_304730,c_304729,c_304728,c_304735,c_304723,c_304722,c_304721,c_304716,c_304715,c_304713,c_304709,c_304708,c_304707,c_304586,c_304582,c_304578,c_304573,c_304565,c_304561,c_304558,c_304553,c_304549,c_304532,c_304521,c_304520,c_304514,c_304513,c_304512,c_304511,c_304510,c_304509,c_304516,c_304504,c_304503,c_304502,c_304497,c_304496,c_304519,c_304492,c_304491,c_304490,c_304489,c_304470,c_304469,c_304447,c_304446,c_304445,c_304444,c_304443,c_304442,c_304392,c_304391,c_304331,c_304327,c_304325,c_304324,c_304323,c_304322,c_304321,c_304320,c_304315,c_304314,c_304246,c_304245,c_304243,c_304242,c_304241,c_304240,c_304244,c_304186,c_304182,c_304180,c_304179,c_304178,c_304177,c_304176,c_304175,c_304170,c_304169,c_304043,c_304039,c_304037,c_304036,c_304035,c_304034,c_304033,c_304032,c_304027,c_304026,c_303995,c_303994,c_303993,c_303914,c_303913,c_303912,c_303911,c_303910,c_303909,c_303903,c_303905,c_303904,c_303880,c_303879,c_303878,c_303845,c_303844,c_303775,c_303771,c_303769,c_303768,c_303767,c_303766,c_303765,c_303764,c_303759,c_303758,c_303616,c_303612,c_303610,c_303609,c_303608,c_303607,c_303606,c_303605,c_303600,c_303599,c_303571,c_303570,c_303569,c_303518,c_303516,c_303515,c_303514,c_303513,c_303517,c_303506,c_303508,c_303507,c_303417,c_303413,c_303411,c_303410,c_303409,c_303408,c_303407,c_303406,c_303401,c_303400,c_303363,c_303362,c_303361,c_303318,c_303317,c_303316,c_303282,c_303281,c_303267,c_303266,c_303265,c_303259,c_303258,c_303214,c_303213,c_303208,c_303204,c_303203,c_303201,c_303200,c_303199,c_303198,c_303197,c_303196,c_303194,c_303193,c_303192,c_303191,c_303190,c_303103,c_303100,c_303095,c_303091,c_303088,c_303086,c_303085,c_303084,c_303083,c_303082,c_303081,c_303079,c_303078,c_303077,c_303076,c_303075,c_302996,c_302993,c_302988,c_302984,c_302981,c_302979,c_302978,c_302977,c_302976,c_302975,c_302974,c_302972,c_302971,c_302970,c_302969,c_302968,c_302940,c_302921,c_302920,c_302918,c_302917,c_302916,c_302915,c_302877,c_302876,c_302875,c_302874,c_302873,c_302872,c_302826,c_302825,c_302824,c_302792,c_302791,c_302790,c_302664,c_302653,c_302502,c_302497,c_302496,c_302434,c_302432,c_302426,c_302411,c_302409,c_302393,c_302392,c_302391,c_302387,c_302386,c_302383,c_302380,c_302379,c_302378,c_302377,c_302376,c_302375,c_302374,c_302373,c_302372,c_302371,c_302369,c_302368,c_302367,c_302350,c_302349,c_302348,c_302347,c_302346,c_302345,c_302343,c_302342,c_302341,c_302340,c_302339,c_302338,c_302337,c_302336,c_302335,c_302334,c_302333,c_302332,c_302319,c_302318,c_302317,c_302315,c_302314,c_302313,c_302312,c_302311,c_302310,c_302309,c_302308,c_302307,c_302306,c_302305,c_302304,c_302302,c_302298,c_302290,c_302288,c_302281,c_302303,c_302278,c_302275,c_302366,c_302257,c_302254,c_302200,c_302179,c_302178,c_302177,c_302176,c_302175,c_302174,c_302173,c_302133,c_302132,c_302131,c_302130,c_302129,c_302128,c_301941,c_301933,c_301898,c_301897,c_301887,c_301886,c_301883,c_301882,c_301881,c_301880,c_301875,c_301869,c_301867,c_301866,c_301862,c_301860,c_301856,c_301853,c_301852,c_301847,c_301790,c_301789,c_301781,c_301780,c_301778,c_301777,c_301775,c_301776,c_301769,c_301779,c_301718,c_301717,c_301716,c_301715,c_301714,c_301713,c_301685,c_301666,c_301665,c_301662,c_301661,c_301660,c_301659,c_301664,c_301567,c_301566,c_301565,c_301564,c_301563,c_301562,c_301561,c_301560,c_301559,c_301556,c_301554,c_301472,c_301471,c_301469,c_301468,c_301467,c_301466,c_301470,c_301431,c_301410,c_301409,c_301407,c_301406,c_301405,c_301404,c_301403,c_301408,c_301317,c_301316,c_301315,c_301271,c_301270,c_301269,c_301258,c_301156,c_301155,c_301153,c_301152,c_301151,c_301150,c_301154,c_301102,c_301065,c_301064,c_301063,c_301062,c_301061,c_301060,c_301059,c_301055,c_301057,c_301056,c_301048,c_301047,c_301031,c_301029,c_300960,c_300959,c_300958,c_300957,c_300956,c_300955,c_300950,c_300952,c_300951,c_300877,c_300868,c_300857,c_300852,c_300824,c_300782,c_300781,c_300780,c_300779,c_300778,c_300777,c_300776,c_300775,c_300770,c_300765,c_300763,c_300762,c_300761,c_300757,c_300751,c_300750,c_300749,c_300748,c_300747,c_300746,c_300745,c_300744,c_300743,c_300742,c_300735,c_300734,c_300733,c_300732,c_300731,c_300730,c_300729,c_300728,c_300709,c_300708,c_300691,c_300690,c_300688,c_300675,c_300618,c_300581,c_300579,c_300578,c_300577,c_300576,c_300575,c_300580,c_300570,c_300572,c_300571,c_300503,c_300501,c_300500,c_300499,c_300498,c_300502,c_300492,c_300494,c_300493,c_300423,c_300422,c_300413,c_300412,c_300369,c_300368,c_300367,c_300339,c_300338,c_300337,c_300328,c_300327,c_300290,c_300289,c_300288,c_300268,c_300267,c_300266,c_300258,c_300257,c_300215,c_300214,c_300213,c_300198,c_300138,c_30013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71,c_283085,c_287233,c_286747,c_282936,c_282341,c_282343,c_283822,c_282658,c_301960,c_301909,c_301889,c_301890,c_301865,c_290790,c_54273,c_301861,c_282667,c_282559,c_282558,c_282227,c_282219,c_282215,c_282214,c_282193,c_282186,c_282183,c_282182,c_301838,c_306540,c_301863,c_306472,c_281918,c_281913,c_283899,c_283891,c_283898,c_283893,c_283888,c_283889,c_283896,c_281236,c_281075,c_280854,c_283821,c_283823,c_283064,c_283075,c_283681,c_283988,c_284041,c_284094,c_283720,c_284389,c_284449,c_284509,c_284578,c_284627,c_284678,c_281494,c_281551,c_284746,c_284745,c_284744,c_284743,c_284814,c_284813,c_284812,c_284811,c_310390,c_310347,c_310322,c_281454,c_281453,c_281452,c_281348,c_281347,c_281346,c_281401,c_281400,c_281399,c_284914,c_284912,c_284911,c_284847,c_284875,c_284873,c_284958,c_284956,c_281779,c_281776,c_283992,c_283991,c_283990,c_284045,c_284044,c_284043,c_284098,c_284097,c_284096,c_282615,c_282616,c_282614,c_282613,c_282542,c_282508,c_282550,c_282582,c_282637,c_282638,c_282636,c_282635,c_282249,c_282248,c_282247,c_282246,c_282279,c_282278,c_282277,c_282276,c_282301,c_282300,c_282299,c_282298,c_281994,c_281993,c_281992,c_281991,c_282016,c_282015,c_282014,c_282013,c_282038,c_282037,c_282036,c_282035,c_4365,c_282267,c_304515,c_304734,c_284154,c_284170,c_282266,c_282056,c_283049,c_283003,c_283020,c_282055,c_299205,c_283491,c_283430,c_283429,c_293810,c_283165,c_281968,c_281967,c_3396,c_3355,c_3274,c_1130,c_763,c_761,c_758,c_755,c_455,c_454,c_453,c_452,c_451,c_450,c_449,c_448,c_447,c_446,c_445,c_444,c_443,c_442,c_441,c_440,c_439,c_438,c_437,c_436,c_435,c_434,c_433,c_432,c_431,c_430,c_429,c_428,c_427,c_426,c_425,c_424,c_423,c_422,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_402,c_401,c_400,c_399,c_398,c_397,c_396,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_378,c_377,c_376,c_375,c_374,c_373,c_372,c_371,c_370,c_369,c_368,c_367,c_366,c_365,c_364,c_363,c_362,c_361,c_360,c_359,c_358,c_357,c_356,c_355,c_354,c_353,c_352,c_351,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335,c_334,c_333,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_320,c_319,c_318,c_317,c_316,c_315,c_314,c_313,c_312,c_311,c_310,c_309,c_308,c_307,c_306,c_305,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_297,c_296,c_295,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_286,c_285,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_277,c_276,c_275,c_274,c_273,c_272,c_271,c_270,c_269,c_268,c_267,c_266,c_282434,c_264,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_207,c_206,c_205,c_204,c_203,c_202,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_85,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM254_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.31 % Computer : n012.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8046.5625MB
% 0.08/0.31 % OS : Linux 6.8.0-71-generic
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Fri Sep 25 08:02:05 UTC 2026
% 0.08/0.31 % CPUTime :
% 0.08/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 Running first-order theorem proving
% 0.08/0.35 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36
% 0.08/0.36 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.36
% 0.13/0.36 % Detected problem language: tptp
% 0.13/0.37 % Proving...
% 214.64/32.95 % SZS status Started for theBenchmark.p
% 214.64/32.95 % SZS status Theorem for theBenchmark.p
% 214.64/32.95
% 214.64/32.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 214.64/32.95
% 214.64/32.95 % ------ iProver source info
% 214.64/32.95
% 214.64/32.95 % git: date: 2026-07-19 20:42:38 +0200
% 214.64/32.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 214.64/32.95 % git: non_committed_changes: false
% 214.64/32.95
% 214.64/32.95 % ------ Parsing...
% 214.64/32.95 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 214.64/32.95 %
% 214.64/32.95
% 214.64/32.95 % ------ Preprocessing... sup_sim: 3 pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 pe_s pe_e %
% 214.64/32.95
% 214.64/32.95 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 214.64/32.95 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 214.64/32.95 %
% 214.64/32.95
% 214.64/32.95 % ------ Preprocessing...
% 214.64/32.95 % ------ Proving...
% 214.64/32.95 % ------ Problem Properties
% 214.64/32.95
% 214.64/32.95 %
% 214.64/32.95 % clauses 391
% 214.64/32.95 % conjectures 2
% 214.64/32.95 % EPR 94
% 214.64/32.95 % Horn 312
% 214.64/32.95 % unary 119
% 214.64/32.95 % binary 203
% 214.64/32.95 % lits 810
% 214.64/32.95 % lits eq 517
% 214.64/32.95 % fd_pure 3
% 214.64/32.95 % fd_pseudo 0
% 214.64/32.95 % fd_cond 57
% 214.64/32.95 % fd_pseudo_cond 68
% 214.64/32.95 % AC symbols 0
% 214.64/32.95
% 214.64/32.95 % ------ Schedule dynamic 5 is on
% 214.64/32.95
% 214.64/32.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 214.64/32.95
% 214.64/32.95
% 214.64/32.95 % ------
% 214.64/32.95 % Current options:
% 214.64/32.95 % ------
% 214.64/32.95
% 214.64/32.95
% 214.64/32.95 %
% 214.64/32.95
% 214.64/32.95 % ------ Proving...
% 214.64/32.95 % Proof_search_loop: time out after: 2061 full_loop iterations
% 214.64/32.95
% 214.64/32.95 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 214.64/32.95
% 214.64/32.95
% 214.64/32.95 % ------
% 214.64/32.95 % Current options:
% 214.64/32.95 % ------
% 214.64/32.95
% 214.64/32.95
% 214.64/32.95 %
% 214.64/32.95
% 214.64/32.95 % ------ Proving...
% 214.64/32.95 % Proof_search_loop: time out after: 3719 full_loop iterations
% 214.64/32.95
% 214.64/32.95 % ------ Option_1: Negative Selections Time Limit: 35.
% 214.64/32.95
% 214.64/32.95
% 214.64/32.95 % ------
% 214.64/32.95 % Current options:
% 214.64/32.95 % ------
% 214.64/32.95
% 214.64/32.95
% 214.64/32.95 %
% 214.64/32.95
% 214.64/32.95 % ------ Proving...
% 214.64/32.95 %
% 214.64/32.95
% 214.64/32.95 % SZS status Theorem for theBenchmark.p
% 214.64/32.95
% 214.64/32.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 246.77/33.07
% 246.77/33.07
%------------------------------------------------------------------------------