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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : COM265_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n001.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 01:04:42 PM UTC 2026

% Result   : Theorem 127.07s 33.19s
% Output   : CNFRefutation 127.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   91 (  43 unt;   0 typ;   0 def)
%            Number of atoms       :  406 ( 152 equ)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :  113 (  34   ~;  61   |;  14   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :  236 ( 236 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   78 (  76 usr;  32 prp; 0-3 aty)
%            Number of functors    :  213 ( 213 usr;  19 con; 0-4 aty)
%            Number of variables   :  174 (   0 sgn 149   !;  25   ?; 174   :)

% 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: ( vAnsMap * vQID ) > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_40,type,
    vMC: ( vATMap * vATMap ) > vMapConf ).

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,
    sK30: vQMap ).

tff(func_def_112,type,
    sK31: vATMap ).

tff(func_def_113,type,
    sK32: vATMap ).

tff(func_def_114,type,
    sK33: vAval ).

tff(func_def_115,type,
    sK34: vAnsMap ).

tff(func_def_116,type,
    sK35: vQuestionnaire > vQuestionnaire ).

tff(func_def_117,type,
    sK36: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).

tff(func_def_118,type,
    sK37: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).

tff(func_def_119,type,
    sK38: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).

tff(func_def_120,type,
    sK39: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).

tff(func_def_121,type,
    sK40: vQConf > vAnsMap ).

tff(func_def_122,type,
    sK41: vQConf > vQMap ).

tff(func_def_123,type,
    sK42: vQConf > vQuestionnaire ).

tff(func_def_124,type,
    sK43: vMapConf > vATMap ).

tff(func_def_125,type,
    sK44: vMapConf > vATMap ).

tff(func_def_126,type,
    sK45: ( vAnsMap * ( vYN * vQMap ) ) > vAnsMap ).

tff(func_def_127,type,
    sK46: ( vAnsMap * ( vYN * vQMap ) ) > vQMap ).

tff(func_def_128,type,
    sK47: ( vAnsMap * ( vYN * vQMap ) ) > vQuestionnaire ).

tff(func_def_129,type,
    sK48: ( vQMap * vAnsMap ) > vAnsMap ).

tff(func_def_130,type,
    sK49: ( vQMap * vAnsMap ) > vQMap ).

tff(func_def_131,type,
    sK50: ( vQMap * vAnsMap ) > vQuestionnaire ).

tff(func_def_132,type,
    sK51: ( vQMap * vAnsMap ) > vAnsMap ).

tff(func_def_133,type,
    sK52: ( vQMap * vAnsMap ) > vQMap ).

tff(func_def_134,type,
    sK53: ( vQMap * vAnsMap ) > vQuestionnaire ).

tff(func_def_135,type,
    sK54: vAnsMap > vQID ).

tff(func_def_136,type,
    sK55: vAnsMap > vAval ).

tff(func_def_137,type,
    sK56: vAnsMap > vAnsMap ).

tff(func_def_138,type,
    sK57: vQMap > vQID ).

tff(func_def_139,type,
    sK58: vQMap > vLabel ).

tff(func_def_140,type,
    sK59: vQMap > vAType ).

tff(func_def_141,type,
    sK60: vQMap > vQMap ).

tff(func_def_142,type,
    sK61: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).

tff(func_def_143,type,
    sK62: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).

tff(func_def_144,type,
    sK63: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).

tff(func_def_145,type,
    sK64: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).

tff(func_def_146,type,
    sK65: ( vAnsMap * vQID ) > vQID ).

tff(func_def_147,type,
    sK66: ( vAnsMap * vQID ) > vAval ).

tff(func_def_148,type,
    sK67: ( vAnsMap * vQID ) > vAnsMap ).

tff(func_def_149,type,
    sK68: ( vAnsMap * vQID ) > vQID ).

tff(func_def_150,type,
    sK69: ( vAnsMap * vQID ) > vQID ).

tff(func_def_151,type,
    sK70: ( vAnsMap * vQID ) > vAval ).

tff(func_def_152,type,
    sK71: ( vAnsMap * vQID ) > vAnsMap ).

tff(func_def_153,type,
    sK72: ( vAnsMap * vQID ) > vQID ).

tff(func_def_154,type,
    sK73: ( vAnsMap * vQID ) > vQID ).

tff(func_def_155,type,
    sK74: vAnsMap > vQID ).

tff(func_def_156,type,
    sK75: vAnsMap > vAval ).

tff(func_def_157,type,
    sK76: vAnsMap > vAnsMap ).

tff(func_def_158,type,
    sK77: ( vATMap * vQID ) > vQID ).

tff(func_def_159,type,
    sK78: ( vATMap * vQID ) > vAType ).

tff(func_def_160,type,
    sK79: ( vATMap * vQID ) > vATMap ).

tff(func_def_161,type,
    sK80: ( vATMap * vQID ) > vQID ).

tff(func_def_162,type,
    sK81: ( vATMap * vQID ) > vQID ).

tff(func_def_163,type,
    sK82: ( vATMap * vQID ) > vAType ).

tff(func_def_164,type,
    sK83: ( vATMap * vQID ) > vATMap ).

tff(func_def_165,type,
    sK84: ( vATMap * vQID ) > vQID ).

tff(func_def_166,type,
    sK85: ( vATMap * vQID ) > vQID ).

tff(func_def_167,type,
    sK86: vATMap > vQID ).

tff(func_def_168,type,
    sK87: vATMap > vAType ).

tff(func_def_169,type,
    sK88: vATMap > vATMap ).

tff(func_def_170,type,
    sK89: vAval > vYN ).

tff(func_def_171,type,
    sK90: vAval > vnat ).

tff(func_def_172,type,
    sK91: vAval > vstring ).

tff(func_def_173,type,
    sK92: ( vQMap * vQID ) > vQMap ).

tff(func_def_174,type,
    sK93: ( vQMap * vQID ) > vQID ).

tff(func_def_175,type,
    sK94: ( vQMap * vQID ) > vAType ).

tff(func_def_176,type,
    sK95: ( vQMap * vQID ) > vLabel ).

tff(func_def_177,type,
    sK96: ( vQMap * vQID ) > vQID ).

tff(func_def_178,type,
    sK97: ( vQMap * vQID ) > vQMap ).

tff(func_def_179,type,
    sK98: ( vQMap * vQID ) > vQID ).

tff(func_def_180,type,
    sK99: ( vQMap * vQID ) > vAType ).

tff(func_def_181,type,
    sK100: ( vQMap * vQID ) > vLabel ).

tff(func_def_182,type,
    sK101: ( vQMap * vQID ) > vQID ).

tff(func_def_183,type,
    sK102: ( vQMap * vQID ) > vQID ).

tff(func_def_184,type,
    sK103: vQMap > vQID ).

tff(func_def_185,type,
    sK104: vQMap > vLabel ).

tff(func_def_186,type,
    sK105: vQMap > vAType ).

tff(func_def_187,type,
    sK106: vQMap > vQMap ).

tff(func_def_188,type,
    sK107: vAval > vnat ).

tff(func_def_189,type,
    sK108: vAval > vnat ).

tff(func_def_190,type,
    sK109: vAval > vnat ).

tff(func_def_191,type,
    sK110: vAval > vnat ).

tff(func_def_192,type,
    sK111: vAval > vnat ).

tff(func_def_193,type,
    sK112: vAval > vnat ).

tff(func_def_194,type,
    sK113: vAval > vnat ).

tff(func_def_195,type,
    sK114: vAval > vnat ).

tff(func_def_196,type,
    sK115: vAval > vnat ).

tff(func_def_197,type,
    sK116: vAval > vnat ).

tff(func_def_198,type,
    sK117: vAval > vYN ).

tff(func_def_199,type,
    sK118: vAval > vYN ).

tff(func_def_200,type,
    sK119: vAval > vYN ).

tff(func_def_201,type,
    sK120: vAval > vYN ).

tff(func_def_202,type,
    sK121: vAval > vnat ).

tff(func_def_203,type,
    sK122: vAval > vnat ).

tff(func_def_204,type,
    sK123: vOptExp > vExp ).

tff(func_def_205,type,
    sK124: ( vAType * ( vAType * vBinOpT ) ) > vAType ).

tff(func_def_206,type,
    sK125: ( vAType * ( vAType * vBinOpT ) ) > vAType ).

tff(func_def_207,type,
    sK126: ( vAType * ( vAType * vBinOpT ) ) > vBinOpT ).

tff(func_def_208,type,
    sK127: ( vAType * ( vAType * vBinOpT ) ) > vAType ).

tff(func_def_209,type,
    sK128: ( vAType * ( vAType * vBinOpT ) ) > vAType ).

tff(func_def_210,type,
    sK129: vOptAval > vAval ).

tff(func_def_211,type,
    sK130: vOptAval > vAval ).

tff(func_def_212,type,
    sK131: ( vQID * vATMap ) > vAType ).

tff(func_def_213,type,
    sK132: vOptAType > vAType ).

tff(func_def_214,type,
    sK133: vAval > vYN ).

tff(func_def_215,type,
    sK134: vAval > vnat ).

tff(func_def_216,type,
    sK135: vAval > vstring ).

tff(func_def_217,type,
    sK136: vOptQuestion > vQID ).

tff(func_def_218,type,
    sK137: vOptQuestion > vLabel ).

tff(func_def_219,type,
    sK138: vOptQuestion > vAType ).

tff(func_def_220,type,
    sK139: vOptQuestion > vQID ).

tff(func_def_221,type,
    sK140: vOptQuestion > vLabel ).

tff(func_def_222,type,
    sK141: vOptQuestion > vAType ).

tff(func_def_223,type,
    sK142: vEntry > vQID ).

tff(func_def_224,type,
    sK143: vEntry > vLabel ).

tff(func_def_225,type,
    sK144: vEntry > vAType ).

tff(func_def_226,type,
    sK145: vEntry > vQID ).

tff(func_def_227,type,
    sK146: vEntry > vAType ).

tff(func_def_228,type,
    sK147: vEntry > vExp ).

tff(func_def_229,type,
    sK148: vEntry > vQID ).

tff(func_def_230,type,
    sK149: vEntry > vLabel ).

tff(func_def_231,type,
    sK150: vEntry > vAType ).

tff(func_def_232,type,
    sK151: vEntry > vQID ).

tff(func_def_233,type,
    sK152: vOptExp > vExp ).

tff(func_def_234,type,
    sK153: vExp > vAval ).

tff(func_def_235,type,
    sK154: vExp > vQID ).

tff(func_def_236,type,
    sK155: vExp > vExp ).

tff(func_def_237,type,
    sK156: vExp > vBinOpT ).

tff(func_def_238,type,
    sK157: vExp > vExp ).

tff(func_def_239,type,
    sK158: vExp > vUnOpT ).

tff(func_def_240,type,
    sK159: vExp > vExp ).

tff(func_def_241,type,
    sK160: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).

tff(func_def_242,type,
    sK161: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).

tff(func_def_243,type,
    sK162: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).

tff(func_def_244,type,
    sK163: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).

tff(func_def_245,type,
    sK164: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).

tff(func_def_246,type,
    sK165: vOptQConf > vQConf ).

tff(func_def_247,type,
    sK166: vOptAType > vAType ).

tff(func_def_248,type,
    sK167: vExp > vExp ).

tff(func_def_249,type,
    sK168: vExp > vAval ).

tff(func_def_250,type,
    sK169: vExp > vAval ).

tff(func_def_251,type,
    sK170: vOptQConf > vQConf ).

tff(f12,axiom,
    ! [X0: vYN] :
      ( ( X0 = vno )
      | ( X0 = vyes ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-YN') ).

tff(f17,axiom,
    ! [X0: vMapConf] :
    ? [X1: vATMap,X2: vATMap] : ( X0 = vMC(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-MapConf') ).

tff(f22,axiom,
    vYesNo != vNumber,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-YesNo-Number') ).

tff(f23,axiom,
    vYesNo != vText,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-YesNo-Text') ).

tff(f24,axiom,
    vNumber != vText,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-Number-Text') ).

tff(f56,axiom,
    ! [X0: vOptQConf] :
      ( ? [X1: vQConf] : ( X0 = vsomeQConf(X1) )
      | ( X0 = vnoQConf ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-OptQConf') ).

tff(f58,axiom,
    ! [X0: vQConf] : ( vnoQConf != vsomeQConf(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noQConf-someQConf') ).

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

tff(f132,axiom,
    ! [X0: vQConf] :
    ? [X1: vAnsMap,X2: vQMap,X3: vQuestionnaire] : ( X0 = vQC(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-QConf') ).

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/sandbox2/benchmark/theBenchmark.p','typeOf-INV') ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p','reduce-12') ).

tff(f316,axiom,
    ! [X0: vATMap,X1: vnat] : ( vecheck(X0,vconstant(vNum(X1))) = vsomeAType(vNumber) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','echeck-1') ).

tff(f317,axiom,
    ! [X0: vATMap,X1: vstring] : ( vecheck(X0,vconstant(vT(X1))) = vsomeAType(vText) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','echeck-2') ).

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/sandbox2/benchmark/theBenchmark.p','Tqcond_inv1') ).

tff(f363,conjecture,
    ! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAval,X4: vAnsMap] :
      ( ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(vconstant(X3),vq1,vq2),vMC(X1,X2))
        & ~ visValue(vqcond(vconstant(X3),vq1,vq2)) )
     => ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqcond(vconstant(X3),vq1,vq2),X4,X0) = vsomeQConf(vQC(X5,X6,X7)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Progress-qcond-constant') ).

tff(f364,negated_conjecture,
    ~ ! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAval,X4: vAnsMap] :
        ( ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(vconstant(X3),vq1,vq2),vMC(X1,X2))
          & ~ visValue(vqcond(vconstant(X3),vq1,vq2)) )
       => ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqcond(vconstant(X3),vq1,vq2),X4,X0) = vsomeQConf(vQC(X5,X6,X7)) ) ),
    inference(negated_conjecture,[status(cth)],[f363]) ).

tff(f368,plain,
    ? [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAval,X4: vAnsMap] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(vconstant(X3),vq1,vq2),vMC(X1,X2))
      & ~ visValue(vqcond(vconstant(X3),vq1,vq2))
      & ! [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqcond(vconstant(X3),vq1,vq2),X4,X0) ) ),
    inference(ennf_transformation,[],[f364]) ).

tff(f369,plain,
    ? [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAval,X4: vAnsMap] :
      ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(vconstant(X3),vq1,vq2),vMC(X1,X2))
      & ~ visValue(vqcond(vconstant(X3),vq1,vq2))
      & ! [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqcond(vconstant(X3),vq1,vq2),X4,X0) ) ),
    inference(flattening,[],[f368]) ).

tff(f435,plain,
    ! [X0: vAType,X1: vAType] :
      ( ( vsomeAType(X1) != vsomeAType(X0) )
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f60]) ).

tff(f446,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(f524,plain,
    ( vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK30)),vqcond(vconstant(sK33),vq1,vq2),vMC(sK31,sK32))
    & ~ visValue(vqcond(vconstant(sK33),vq1,vq2))
    & ! [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqcond(vconstant(sK33),vq1,vq2),sK34,sK30) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33,sK34]),skolemize(X0,sK30),skolemize(X1,sK31),skolemize(X2,sK32),skolemize(X3,sK33),skolemize(X4,sK34)],[f369]) ).

tff(f528,plain,
    ! [X0: vQConf] : ( vQC(sK40(X0),sK41(X0),sK42(X0)) = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42]),skolemize(X1,sK40(X0)),skolemize(X2,sK41(X0)),skolemize(X3,sK42(X0))],[f132]) ).

tff(f529,plain,
    ! [X0: vMapConf] : ( vMC(sK43(X0),sK44(X0)) = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK43,sK44]),skolemize(X1,sK43(X0)),skolemize(X2,sK44(X0))],[f17]) ).

tff(f553,plain,
    ! [X0: vAval] :
      ( ( ( vtypeOf(X0) = vText )
        & ( vT(sK91(X0)) = X0 ) )
      | ( ( vtypeOf(X0) = vNumber )
        & ( vNum(sK90(X0)) = X0 ) )
      | ( ( vtypeOf(X0) = vYesNo )
        & ( vB(sK89(X0)) = X0 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK89,sK90,sK91]),skolemize(X1,sK89(X0)),skolemize(X2,sK90(X0)),skolemize(X3,sK91(X0))],[f189]) ).

tff(f619,plain,
    ! [X0: vOptQConf] :
      ( ( vsomeQConf(sK165(X0)) = X0 )
      | ( X0 = vnoQConf ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK165]),skolemize(X1,sK165(X0))],[f56]) ).

tff(f625,plain,
    vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK30)),vqcond(vconstant(sK33),vq1,vq2),vMC(sK31,sK32)),
    inference(cnf_transformation,[],[f524]) ).

tff(f627,plain,
    ! [X6: vQMap,X7: vQuestionnaire,X5: vAnsMap] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqcond(vconstant(sK33),vq1,vq2),sK34,sK30) ),
    inference(cnf_transformation,[],[f524]) ).

tff(f640,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(f641,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(f653,plain,
    ! [X0: vQConf] : ( vQC(sK40(X0),sK41(X0),sK42(X0)) = X0 ),
    inference(cnf_transformation,[],[f528]) ).

tff(f656,plain,
    ! [X0: vMapConf] : ( vMC(sK43(X0),sK44(X0)) = X0 ),
    inference(cnf_transformation,[],[f529]) ).

tff(f681,plain,
    ! [X0: vYN] :
      ( ( vno = X0 )
      | ( vyes = X0 ) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f728,plain,
    ! [X0: vAval] :
      ( ( vT(sK91(X0)) = X0 )
      | ( vNumber = vtypeOf(X0) )
      | ( vYesNo = vtypeOf(X0) ) ),
    inference(cnf_transformation,[],[f553]) ).

tff(f729,plain,
    ! [X0: vAval] :
      ( ( vText = vtypeOf(X0) )
      | ( vNum(sK90(X0)) = X0 )
      | ( vYesNo = vtypeOf(X0) ) ),
    inference(cnf_transformation,[],[f553]) ).

tff(f731,plain,
    ! [X0: vAval] :
      ( ( vText = vtypeOf(X0) )
      | ( vNumber = vtypeOf(X0) )
      | ( vB(sK89(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f553]) ).

tff(f759,plain,
    ! [X0: vATMap,X1: vnat] : ( vsomeAType(vNumber) = vecheck(X0,vconstant(vNum(X1))) ),
    inference(cnf_transformation,[],[f316]) ).

tff(f889,plain,
    ! [X0: vAType,X1: vAType] :
      ( ( vsomeAType(X1) != vsomeAType(X0) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f435]) ).

tff(f891,plain,
    ! [X0: vATMap,X1: vstring] : ( vecheck(X0,vconstant(vT(X1))) = vsomeAType(vText) ),
    inference(cnf_transformation,[],[f317]) ).

tff(f902,plain,
    vYesNo != vNumber,
    inference(cnf_transformation,[],[f22]) ).

tff(f903,plain,
    vNumber != vText,
    inference(cnf_transformation,[],[f24]) ).

tff(f904,plain,
    vYesNo != vText,
    inference(cnf_transformation,[],[f23]) ).

tff(f927,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,[],[f446]) ).

tff(f1000,plain,
    ! [X0: vQConf] : ( vnoQConf != vsomeQConf(X0) ),
    inference(cnf_transformation,[],[f58]) ).

tff(f1001,plain,
    ! [X0: vOptQConf] :
      ( ( vsomeQConf(sK165(X0)) = X0 )
      | ( vnoQConf = X0 ) ),
    inference(cnf_transformation,[],[f619]) ).

tcf(c_49,negated_conjecture,
    ! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : vreduce(vqcond(vconstant(sK33),vq1,vq2),sK34,sK30) != vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)),
    inference(cnf_transformation,[],[f627]) ).

tcf(c_51,negated_conjecture,
    vptcheck(vMC(vtypeAM(sK34),vtypeQM(sK30)),vqcond(vconstant(sK33),vq1,vq2),vMC(sK31,sK32)),
    inference(cnf_transformation,[],[f625]) ).

tcf(c_64,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,[],[f640]) ).

tcf(c_65,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,[],[f641]) ).

tcf(c_77,plain,
    ! [X0_vQConf: vQConf] : vQC(sK40(X0_vQConf),sK41(X0_vQConf),sK42(X0_vQConf)) = X0_vQConf,
    inference(cnf_transformation,[],[f653]) ).

tcf(c_80,plain,
    ! [X0_vMapConf: vMapConf] : vMC(sK43(X0_vMapConf),sK44(X0_vMapConf)) = X0_vMapConf,
    inference(cnf_transformation,[],[f656]) ).

tcf(c_105,plain,
    ! [X0_vYN: vYN] :
      ( ( X0_vYN = vno )
      | ( X0_vYN = vyes ) ),
    inference(cnf_transformation,[],[f681]) ).

tcf(c_154,plain,
    ! [X0_vAval: vAval] :
      ( ( vtypeOf(X0_vAval) = vText )
      | ( vtypeOf(X0_vAval) = vNumber )
      | ( vB(sK89(X0_vAval)) = X0_vAval ) ),
    inference(cnf_transformation,[],[f731]) ).

tcf(c_156,plain,
    ! [X0_vAval: vAval] :
      ( ( vtypeOf(X0_vAval) = vText )
      | ( vtypeOf(X0_vAval) = vYesNo )
      | ( vNum(sK90(X0_vAval)) = X0_vAval ) ),
    inference(cnf_transformation,[],[f729]) ).

tcf(c_157,plain,
    ! [X0_vAval: vAval] :
      ( ( vtypeOf(X0_vAval) = vYesNo )
      | ( vtypeOf(X0_vAval) = vNumber )
      | ( vT(sK91(X0_vAval)) = X0_vAval ) ),
    inference(cnf_transformation,[],[f728]) ).

tcf(c_183,plain,
    ! [X0_vATMap: vATMap,X0_vnat: vnat] : vecheck(X0_vATMap,vconstant(vNum(X0_vnat))) = vsomeAType(vNumber),
    inference(cnf_transformation,[],[f759]) ).

tcf(c_313,plain,
    ! [X0_vAType: vAType,X1_vAType: vAType] :
      ( ( X0_vAType = X1_vAType )
      | ( vsomeAType(X0_vAType) != vsomeAType(X1_vAType) ) ),
    inference(cnf_transformation,[],[f889]) ).

tcf(c_315,plain,
    ! [X0_vATMap: vATMap,X0_vstring: vstring] : vecheck(X0_vATMap,vconstant(vT(X0_vstring))) = vsomeAType(vText),
    inference(cnf_transformation,[],[f891]) ).

tcf(c_326,plain,
    vNumber != vYesNo,
    inference(cnf_transformation,[],[f902]) ).

tcf(c_327,plain,
    vNumber != vText,
    inference(cnf_transformation,[],[f903]) ).

tcf(c_328,plain,
    vYesNo != vText,
    inference(cnf_transformation,[],[f904]) ).

tcf(c_351,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,[],[f927]) ).

tcf(c_423,plain,
    ! [X0_vQConf: vQConf] : vsomeQConf(X0_vQConf) != vnoQConf,
    inference(cnf_transformation,[],[f1000]) ).

tcf(c_424,plain,
    ! [X0_vOptQConf: vOptQConf] :
      ( ( X0_vOptQConf = vnoQConf )
      | ( vsomeQConf(sK165(X0_vOptQConf)) = X0_vOptQConf ) ),
    inference(cnf_transformation,[],[f1001]) ).

tcf(c_32208,plain,
    ( ( vNumber = vYesNo )
    | ( vsomeAType(vNumber) != vsomeAType(vYesNo) ) ),
    inference(instantiation,[status(thm)],[c_313]) ).

tcf(c_32210,plain,
    ( ( vYesNo = vText )
    | ( vsomeAType(vYesNo) != vsomeAType(vText) ) ),
    inference(instantiation,[status(thm)],[c_313]) ).

tcf(c_66172,plain,
    ! [X0_vQConf: vQConf] : vreduce(vqcond(vconstant(sK33),vq1,vq2),sK34,sK30) != vsomeQConf(X0_vQConf),
    inference(superposition,[status(thm)],[c_77,c_49]) ).

tcf(c_66361,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_105,c_64]) ).

tcf(c_67226,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_156,c_183]) ).

tcf(c_67741,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_157,c_315]) ).

tcf(c_68489,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_80,c_351]) ).

tcf(c_69843,plain,
    ! [X0_vOptQConf: vOptQConf] :
      ( ( X0_vOptQConf = vnoQConf )
      | ( vreduce(vqcond(vconstant(sK33),vq1,vq2),sK34,sK30) != X0_vOptQConf ) ),
    inference(superposition,[status(thm)],[c_424,c_66172]) ).

tcf(c_70182,plain,
    ! [X0_vQuestionnaire: vQuestionnaire,X0_vAval: vAval,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] :
      ( ( sK89(X0_vAval) = vyes )
      | ( 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_154,c_66361]) ).

tcf(c_82679,plain,
    vecheck(vtypeAM(sK34),vconstant(sK33)) = vsomeAType(vYesNo),
    inference(superposition,[status(thm)],[c_51,c_68489]) ).

tcf(c_82742,plain,
    ( ( vtypeOf(sK33) = vYesNo )
    | ( vtypeOf(sK33) = vNumber )
    | ( vsomeAType(vYesNo) = vsomeAType(vText) ) ),
    inference(superposition,[status(thm)],[c_82679,c_67741]) ).

tcf(c_82744,plain,
    ( ( vtypeOf(sK33) = vText )
    | ( vtypeOf(sK33) = vYesNo )
    | ( vsomeAType(vNumber) = vsomeAType(vYesNo) ) ),
    inference(superposition,[status(thm)],[c_82679,c_67226]) ).

tcf(c_93108,plain,
    vreduce(vqcond(vconstant(sK33),vq1,vq2),sK34,sK30) = vnoQConf,
    inference(equality_resolution,[status(thm)],[c_69843]) ).

tcf(c_95006,plain,
    ( ( sK89(sK33) = vyes )
    | ( vtypeOf(sK33) = vText )
    | ( vtypeOf(sK33) = vNumber )
    | ( vsomeQConf(vQC(sK34,sK30,vq2)) = vnoQConf ) ),
    inference(superposition,[status(thm)],[c_70182,c_93108]) ).

tcf(c_95013,plain,
    ( ( sK89(sK33) = vyes )
    | ( vtypeOf(sK33) = vText )
    | ( vtypeOf(sK33) = vNumber ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_95006,c_423]) ).

tcf(c_105071,plain,
    ( ( vtypeOf(sK33) = vText )
    | ( vtypeOf(sK33) = vNumber )
    | ( vB(vyes) = sK33 ) ),
    inference(superposition,[status(thm)],[c_95013,c_154]) ).

tcf(c_121746,plain,
    ( ( vtypeOf(sK33) = vYesNo )
    | ( vtypeOf(sK33) = vNumber ) ),
    inference(global_subsumption_just,[status(thm)],[c_82742,c_328,c_32210,c_82742]) ).

tcf(c_121761,plain,
    ( ( vYesNo = vText )
    | ( vtypeOf(sK33) = vNumber )
    | ( vB(vyes) = sK33 ) ),
    inference(superposition,[status(thm)],[c_121746,c_105071]) ).

tcf(c_121763,plain,
    ( ( vtypeOf(sK33) = vNumber )
    | ( vB(vyes) = sK33 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_121761,c_328]) ).

tcf(c_122605,plain,
    ( ( vtypeOf(sK33) = vText )
    | ( vtypeOf(sK33) = vYesNo ) ),
    inference(global_subsumption_just,[status(thm)],[c_82744,c_326,c_32208,c_82744]) ).

tcf(c_122622,plain,
    ( ( vNumber = vText )
    | ( vtypeOf(sK33) = vYesNo )
    | ( vB(vyes) = sK33 ) ),
    inference(superposition,[status(thm)],[c_122605,c_121763]) ).

tcf(c_122625,plain,
    ( ( vtypeOf(sK33) = vYesNo )
    | ( vB(vyes) = sK33 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_122622,c_327]) ).

tcf(c_122805,plain,
    ( ( vNumber = vYesNo )
    | ( vB(vyes) = sK33 ) ),
    inference(superposition,[status(thm)],[c_122625,c_121763]) ).

tcf(c_122807,plain,
    vB(vyes) = sK33,
    inference(forward_subsumption_resolution,[status(thm)],[c_122805,c_326]) ).

tcf(c_122823,plain,
    ! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap,X1_vQuestionnaire: vQuestionnaire] : vreduce(vqcond(vconstant(sK33),X0_vQuestionnaire,X1_vQuestionnaire),X0_vAnsMap,X0_vQMap) = vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)),
    inference(demodulation,[status(thm)],[c_65,c_122807]) ).

tcf(c_122824,plain,
    vsomeQConf(vQC(sK34,sK30,vq1)) = vnoQConf,
    inference(demodulation,[status(thm)],[c_93108,c_122823]) ).

tcf(c_122825,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_122824,c_423]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM265_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38  % Computer : n001.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Fri Sep 25 08:08:25 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44  
% 0.16/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.44  
% 0.16/0.44  % Detected problem language: tptp
% 0.16/0.45  % Proving...
% 127.07/33.19  % SZS status Started for theBenchmark.p
% 127.07/33.19  % SZS status Theorem for theBenchmark.p
% 127.07/33.19  
% 127.07/33.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 127.07/33.19  
% 127.07/33.19  % ------  iProver source info
% 127.07/33.19  
% 127.07/33.19  % git: date: 2026-07-19 20:42:38 +0200
% 127.07/33.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 127.07/33.19  % git: non_committed_changes: false
% 127.07/33.19  
% 127.07/33.19  % ------ Parsing...
% 127.07/33.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 127.07/33.19  % 
% 127.07/33.19  
% 127.07/33.19  % ------ Preprocessing... sup_sim: 2  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  pe_s  pe_e % 
% 127.07/33.19  
% 127.07/33.19  % ------ Preprocessing...% ------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 127.07/33.19   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
% 127.07/33.19  % 
% 127.07/33.19  
% 127.07/33.19  % ------ Preprocessing...
% 127.07/33.19  % ------ Proving...
% 127.07/33.19  % ------ Problem Properties 
% 127.07/33.19  
% 127.07/33.19  % 
% 127.07/33.19  % clauses                               386
% 127.07/33.19  % conjectures                           3
% 127.07/33.19  % EPR                                   96
% 127.07/33.19  % Horn                                  310
% 127.07/33.19  % unary                                 119
% 127.07/33.19  % binary                                204
% 127.07/33.19  % lits                                  790
% 127.07/33.19  % lits eq                               508
% 127.07/33.19  % fd_pure                               3
% 127.07/33.19  % fd_pseudo                             0
% 127.07/33.19  % fd_cond                               56
% 127.07/33.19  % fd_pseudo_cond                        68
% 127.07/33.19  % AC symbols                            0
% 127.07/33.19  
% 127.07/33.19  % ------ Schedule dynamic 5 is on 
% 127.07/33.19  
% 127.07/33.19  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 127.07/33.19  
% 127.07/33.19  
% 127.07/33.19  % ------ 
% 127.07/33.19  % Current options:
% 127.07/33.19  % ------ 
% 127.07/33.19  
% 127.07/33.19  
% 127.07/33.19  % 
% 127.07/33.19  
% 127.07/33.19  % ------ Proving...
% 127.07/33.19  % Proof_search_loop: time out after: 1731 full_loop iterations
% 127.07/33.19  
% 127.07/33.19  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 127.07/33.19  
% 127.07/33.19  
% 127.07/33.19  % ------ 
% 127.07/33.19  % Current options:
% 127.07/33.19  % ------ 
% 127.07/33.19  
% 127.07/33.19  
% 127.07/33.19  % 
% 127.07/33.19  
% 127.07/33.19  % ------ Proving...
% 127.07/33.19  % Proof_search_loop: time out after: 1918 full_loop iterations
% 127.07/33.19  
% 127.07/33.19  % ------ Option_1: Negative Selections Time Limit: 35.
% 127.07/33.19  
% 127.07/33.19  
% 127.07/33.19  % ------ 
% 127.07/33.19  % Current options:
% 127.07/33.19  % ------ 
% 127.07/33.19  
% 127.07/33.19  
% 127.07/33.19  % 
% 127.07/33.19  
% 127.07/33.19  % ------ Proving...
% 127.07/33.19  % 
% 127.07/33.19  
% 127.07/33.19  % SZS status Theorem for theBenchmark.p
% 127.07/33.19  
% 127.07/33.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 127.07/33.19  
% 127.07/33.19  
%------------------------------------------------------------------------------