%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM280_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 : n011.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 01:04:44 PM UTC 2026
% Result : Theorem 21.52s 4.99s
% Output : CNFRefutation 21.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 127 ( 28 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 66 ( 27 ~; 21 |; 14 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 62 ( 62 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 88 ( 86 usr; 23 prp; 0-3 aty)
% Number of functors : 300 ( 300 usr; 5 con; 0-5 aty)
% Number of variables : 66 ( 0 sgn 53 !; 13 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
vrempty: vRow ).
tff(pred_def_1,type,
vmatchingAttrL: ( vAttrL * vTType ) > $o ).
tff(pred_def_2,type,
visSomeTType: vOptTType > $o ).
tff(pred_def_3,type,
visSomeRawTable: vOptRawTable > $o ).
tff(pred_def_4,type,
vsameLength: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_5,type,
vfilterSingleRow: ( vRow * ( vAttrL * vPred ) ) > $o ).
tff(pred_def_6,type,
vlessThan: ( vVal * vVal ) > $o ).
tff(pred_def_7,type,
visSomeVal: vOptVal > $o ).
tff(pred_def_8,type,
vwelltypedRawtable: ( vRawTable * vTType ) > $o ).
tff(pred_def_9,type,
vgreaterThan: ( vVal * vVal ) > $o ).
tff(pred_def_10,type,
visValue: vQuery > $o ).
tff(pred_def_11,type,
vwelltypedtable: ( vTable * vTType ) > $o ).
tff(pred_def_12,type,
visSomeFType: vOptFType > $o ).
tff(pred_def_13,type,
vtcheckPred: ( vTType * vPred ) > $o ).
tff(pred_def_14,type,
vrowIn: ( vRawTable * vRow ) > $o ).
tff(pred_def_15,type,
visSomeTable: vOptTable > $o ).
tff(pred_def_16,type,
vwelltypedRow: ( vRow * vTType ) > $o ).
tff(pred_def_17,type,
visSomeQuery: vOptQuery > $o ).
tff(pred_def_18,type,
vstoreContextConsistent: ( vTTContext * vTStore ) > $o ).
tff(pred_def_19,type,
vptcheck: ( vTType * ( vQuery * vTTContext ) ) > $o ).
tff(pred_def_20,type,
sP0: ( vRawTable * ( vAttrL * vName ) ) > $o ).
tff(pred_def_21,type,
sP1: ( vRawTable * ( vAttrL * vName ) ) > $o ).
tff(pred_def_22,type,
sP2: ( vAttrL * vTType ) > $o ).
tff(pred_def_23,type,
sP3: ( vRawTable * ( vAttrL * vAttrL ) ) > $o ).
tff(pred_def_24,type,
sP4: ( vRawTable * ( vAttrL * vAttrL ) ) > $o ).
tff(pred_def_25,type,
sP5: ( vTable * vSelect ) > $o ).
tff(pred_def_26,type,
sP6: ( vTable * vSelect ) > $o ).
tff(pred_def_27,type,
sP7: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_28,type,
sP8: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_29,type,
sP9: ( vTStore * vName ) > $o ).
tff(pred_def_30,type,
sP10: ( vTStore * vName ) > $o ).
tff(pred_def_31,type,
sP11: ( vTType * vSelect ) > $o ).
tff(pred_def_32,type,
sP12: ( vTTContext * vName ) > $o ).
tff(pred_def_33,type,
sP13: ( vTTContext * vName ) > $o ).
tff(pred_def_34,type,
sP14: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_35,type,
sP15: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_36,type,
sP16: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_37,type,
sP17: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_38,type,
sP18: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_39,type,
sP19: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_40,type,
sP20: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_41,type,
sP21: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_42,type,
sP22: ( vTStore * vQuery ) > $o ).
tff(pred_def_43,type,
sP23: ( vTStore * vQuery ) > $o ).
tff(pred_def_44,type,
sP24: ( vTStore * vQuery ) > $o ).
tff(pred_def_45,type,
sP25: ( vTStore * vQuery ) > $o ).
tff(pred_def_46,type,
sP26: ( vTStore * vQuery ) > $o ).
tff(pred_def_47,type,
sP27: ( vTStore * vQuery ) > $o ).
tff(pred_def_48,type,
sP28: ( vTStore * vQuery ) > $o ).
tff(pred_def_49,type,
sP29: ( vTStore * vQuery ) > $o ).
tff(pred_def_50,type,
sP30: ( vTStore * vQuery ) > $o ).
tff(pred_def_51,type,
sP31: ( vTStore * vQuery ) > $o ).
tff(pred_def_52,type,
sP32: ( vTStore * vQuery ) > $o ).
tff(pred_def_53,type,
sP33: ( vTStore * vQuery ) > $o ).
tff(pred_def_54,type,
sP34: ( vTStore * vQuery ) > $o ).
tff(pred_def_55,type,
sP35: ( vTStore * vQuery ) > $o ).
tff(pred_def_56,type,
sP36: ( vTStore * vQuery ) > $o ).
tff(pred_def_57,type,
sP37: ( vTStore * vQuery ) > $o ).
tff(pred_def_58,type,
sP38: ( vTStore * vQuery ) > $o ).
tff(pred_def_59,type,
sP39: ( vTStore * vQuery ) > $o ).
tff(pred_def_60,type,
sP40: ( vRawTable * vRawTable ) > $o ).
tff(pred_def_61,type,
sP41: ( vRawTable * vRawTable ) > $o ).
tff(func_def_62,type,
vtypeOfExp: ( vTType * vExp ) > vOptFType ).
tff(func_def_63,type,
vdropFirstColRaw: vRawTable > vRawTable ).
tff(func_def_64,type,
vfindColType: ( vTType * vName ) > vOptFType ).
tff(func_def_65,type,
vinitName: vName ).
tff(func_def_66,type,
vfilterRows: ( vPred * ( vAttrL * vRawTable ) ) > vRawTable ).
tff(func_def_67,type,
vprojectType: ( vTType * vSelect ) > vOptTType ).
tff(func_def_68,type,
vprojectCols: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).
tff(func_def_69,type,
vrawDifference: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_70,type,
vappend: ( vAttrL * vAttrL ) > vAttrL ).
tff(func_def_71,type,
vgetFType: vOptFType > vFType ).
tff(func_def_72,type,
vgetQuery: vOptQuery > vQuery ).
tff(func_def_73,type,
vgetTType: vOptTType > vTType ).
tff(func_def_74,type,
vgetVal: vOptVal > vVal ).
tff(func_def_75,type,
vgetTable: vOptTable > vTable ).
tff(func_def_76,type,
vgetRawTable: vOptRawTable > vRawTable ).
tff(func_def_77,type,
sK42: vName ).
tff(func_def_78,type,
sK43: vFType ).
tff(func_def_79,type,
sK44: vTType ).
tff(func_def_80,type,
sK45: vRow > vVal ).
tff(func_def_81,type,
sK46: vRow > vRow ).
tff(func_def_82,type,
sK47: ( vTable * vTType ) > vTType ).
tff(func_def_83,type,
sK48: ( vTable * vTType ) > vAttrL ).
tff(func_def_84,type,
sK49: ( vTable * vTType ) > vRawTable ).
tff(func_def_85,type,
sK50: ( vTable * vTType ) > vTType ).
tff(func_def_86,type,
sK51: ( vTable * vTType ) > vAttrL ).
tff(func_def_87,type,
sK52: ( vTable * vTType ) > vRawTable ).
tff(func_def_88,type,
sK53: ( vRawTable * vTType ) > vRow ).
tff(func_def_89,type,
sK54: ( vRawTable * vTType ) > vRawTable ).
tff(func_def_90,type,
sK55: ( vRawTable * vTType ) > vTType ).
tff(func_def_91,type,
sK56: ( vRawTable * vTType ) > vTType ).
tff(func_def_92,type,
sK57: ( vRawTable * vTType ) > vRow ).
tff(func_def_93,type,
sK58: ( vRawTable * vTType ) > vRawTable ).
tff(func_def_94,type,
sK59: ( vRawTable * vTType ) > vTType ).
tff(func_def_95,type,
sK60: vTType > vName ).
tff(func_def_96,type,
sK61: vTType > vFType ).
tff(func_def_97,type,
sK62: vTType > vTType ).
tff(func_def_98,type,
sK63: vRawTable > vRow ).
tff(func_def_99,type,
sK64: vRawTable > vRawTable ).
tff(func_def_100,type,
sK65: ( vRawTable * ( vAttrL * vName ) ) > vName ).
tff(func_def_101,type,
sK66: ( vRawTable * ( vAttrL * vName ) ) > vAttrL ).
tff(func_def_102,type,
sK67: ( vRawTable * ( vAttrL * vName ) ) > vName ).
tff(func_def_103,type,
sK68: ( vRawTable * ( vAttrL * vName ) ) > vRawTable ).
tff(func_def_104,type,
sK69: ( vRawTable * ( vAttrL * vName ) ) > vName ).
tff(func_def_105,type,
sK70: ( vRawTable * ( vAttrL * vName ) ) > vAttrL ).
tff(func_def_106,type,
sK71: ( vRawTable * ( vAttrL * vName ) ) > vName ).
tff(func_def_107,type,
sK72: ( vRawTable * ( vAttrL * vName ) ) > vRawTable ).
tff(func_def_108,type,
sK73: ( vRawTable * ( vAttrL * vName ) ) > vName ).
tff(func_def_109,type,
sK74: ( vRawTable * ( vAttrL * vName ) ) > vRawTable ).
tff(func_def_110,type,
sK75: vRawTable > vRawTable ).
tff(func_def_111,type,
sK76: vRawTable > vVal ).
tff(func_def_112,type,
sK77: vRawTable > vRow ).
tff(func_def_113,type,
sK78: vRawTable > vRawTable ).
tff(func_def_114,type,
sK79: ( vAttrL * vTType ) > vTType ).
tff(func_def_115,type,
sK80: ( vAttrL * vTType ) > vAttrL ).
tff(func_def_116,type,
sK81: ( vAttrL * vTType ) > vTType ).
tff(func_def_117,type,
sK82: ( vAttrL * vTType ) > vName ).
tff(func_def_118,type,
sK83: ( vAttrL * vTType ) > vFType ).
tff(func_def_119,type,
sK84: ( vAttrL * vTType ) > vName ).
tff(func_def_120,type,
sK85: ( vAttrL * vTType ) > vAttrL ).
tff(func_def_121,type,
sK86: ( vAttrL * vTType ) > vTType ).
tff(func_def_122,type,
sK87: ( vAttrL * vTType ) > vName ).
tff(func_def_123,type,
sK88: ( vAttrL * vTType ) > vFType ).
tff(func_def_124,type,
sK89: ( vAttrL * vTType ) > vName ).
tff(func_def_125,type,
sK90: ( vAttrL * vTType ) > vAttrL ).
tff(func_def_126,type,
sK91: vTType > vName ).
tff(func_def_127,type,
sK92: vTType > vFType ).
tff(func_def_128,type,
sK93: vTType > vTType ).
tff(func_def_129,type,
sK94: vAttrL > vName ).
tff(func_def_130,type,
sK95: vAttrL > vAttrL ).
tff(func_def_131,type,
sK96: vTable > vAttrL ).
tff(func_def_132,type,
sK97: vTable > vRawTable ).
tff(func_def_133,type,
sK98: vTType > vName ).
tff(func_def_134,type,
sK99: vTType > vFType ).
tff(func_def_135,type,
sK100: vTType > vTType ).
tff(func_def_136,type,
sK101: vRow > vVal ).
tff(func_def_137,type,
sK102: vRow > vRow ).
tff(func_def_138,type,
sK103: vAttrL > vName ).
tff(func_def_139,type,
sK104: vAttrL > vAttrL ).
tff(func_def_140,type,
sK105: vOptRawTable > vRawTable ).
tff(func_def_141,type,
sK106: vOptRawTable > vRawTable ).
tff(func_def_142,type,
sK107: vRawTable > vRawTable ).
tff(func_def_143,type,
sK108: vRawTable > vVal ).
tff(func_def_144,type,
sK109: vRawTable > vRow ).
tff(func_def_145,type,
sK110: vRawTable > vRawTable ).
tff(func_def_146,type,
sK111: ( vRawTable * ( vAttrL * vAttrL ) ) > vRawTable ).
tff(func_def_147,type,
sK112: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).
tff(func_def_148,type,
sK113: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).
tff(func_def_149,type,
sK114: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).
tff(func_def_150,type,
sK115: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).
tff(func_def_151,type,
sK116: ( vRawTable * ( vAttrL * vAttrL ) ) > vName ).
tff(func_def_152,type,
sK117: ( vRawTable * ( vAttrL * vAttrL ) ) > vRawTable ).
tff(func_def_153,type,
sK118: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).
tff(func_def_154,type,
sK119: ( vRawTable * ( vAttrL * vAttrL ) ) > vOptRawTable ).
tff(func_def_155,type,
sK120: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).
tff(func_def_156,type,
sK121: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).
tff(func_def_157,type,
sK122: ( vRawTable * ( vAttrL * vAttrL ) ) > vName ).
tff(func_def_158,type,
sK123: ( vRawTable * ( vAttrL * vAttrL ) ) > vAttrL ).
tff(func_def_159,type,
sK124: ( vRawTable * ( vAttrL * vAttrL ) ) > vRawTable ).
tff(func_def_160,type,
sK125: ( vTable * vSelect ) > vAttrL ).
tff(func_def_161,type,
sK126: ( vTable * vSelect ) > vOptRawTable ).
tff(func_def_162,type,
sK127: ( vTable * vSelect ) > vTable ).
tff(func_def_163,type,
sK128: ( vTable * vSelect ) > vAttrL ).
tff(func_def_164,type,
sK129: ( vTable * vSelect ) > vOptRawTable ).
tff(func_def_165,type,
sK130: ( vTable * vSelect ) > vTable ).
tff(func_def_166,type,
sK131: ( vTable * vSelect ) > vTable ).
tff(func_def_167,type,
sK132: ( vRawTable * vRawTable ) > vVal ).
tff(func_def_168,type,
sK133: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_169,type,
sK134: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_170,type,
sK135: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_171,type,
sK136: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_172,type,
sK137: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_173,type,
sK138: vRawTable > vVal ).
tff(func_def_174,type,
sK139: vRawTable > vRawTable ).
tff(func_def_175,type,
sK140: vRawTable > vRow ).
tff(func_def_176,type,
sK141: vRawTable > vRawTable ).
tff(func_def_177,type,
sK142: vRawTable > vRow ).
tff(func_def_178,type,
sK143: vRawTable > vRawTable ).
tff(func_def_179,type,
sK144: ( vQuery * vQuery ) > vTable ).
tff(func_def_180,type,
sK145: ( vQuery * vQuery ) > vTable ).
tff(func_def_181,type,
sK146: ( vQuery * vQuery ) > vTable ).
tff(func_def_182,type,
sK147: ( vQuery * vQuery ) > vQuery ).
tff(func_def_183,type,
sK148: ( vQuery * vTable ) > vTable ).
tff(func_def_184,type,
sK149: ( vQuery * vTable ) > vTable ).
tff(func_def_185,type,
sK150: vQuery > vTable ).
tff(func_def_186,type,
sK151: vQuery > vSelect ).
tff(func_def_187,type,
sK152: vQuery > vName ).
tff(func_def_188,type,
sK153: vQuery > vPred ).
tff(func_def_189,type,
sK154: vQuery > vQuery ).
tff(func_def_190,type,
sK155: vQuery > vQuery ).
tff(func_def_191,type,
sK156: vQuery > vQuery ).
tff(func_def_192,type,
sK157: vQuery > vQuery ).
tff(func_def_193,type,
sK158: vQuery > vQuery ).
tff(func_def_194,type,
sK159: vQuery > vQuery ).
tff(func_def_195,type,
sK160: ( vQuery * vQuery ) > vTable ).
tff(func_def_196,type,
sK161: ( vQuery * vQuery ) > vTable ).
tff(func_def_197,type,
sK162: ( vQuery * vQuery ) > vTable ).
tff(func_def_198,type,
sK163: ( vQuery * vQuery ) > vQuery ).
tff(func_def_199,type,
sK164: ( vQuery * vTable ) > vTable ).
tff(func_def_200,type,
sK165: ( vQuery * vTable ) > vTable ).
tff(func_def_201,type,
sK166: ( vQuery * vQuery ) > vTable ).
tff(func_def_202,type,
sK167: ( vQuery * vQuery ) > vTable ).
tff(func_def_203,type,
sK168: ( vQuery * vQuery ) > vTable ).
tff(func_def_204,type,
sK169: ( vQuery * vQuery ) > vQuery ).
tff(func_def_205,type,
sK170: ( vQuery * vTable ) > vTable ).
tff(func_def_206,type,
sK171: ( vQuery * vTable ) > vTable ).
tff(func_def_207,type,
sK172: vTTContext > vName ).
tff(func_def_208,type,
sK173: vTTContext > vTType ).
tff(func_def_209,type,
sK174: vTTContext > vTTContext ).
tff(func_def_210,type,
sK175: ( vTStore * vName ) > vName ).
tff(func_def_211,type,
sK176: ( vTStore * vName ) > vTable ).
tff(func_def_212,type,
sK177: ( vTStore * vName ) > vTStore ).
tff(func_def_213,type,
sK178: ( vTStore * vName ) > vName ).
tff(func_def_214,type,
sK179: ( vTStore * vName ) > vName ).
tff(func_def_215,type,
sK180: ( vTStore * vName ) > vTable ).
tff(func_def_216,type,
sK181: ( vTStore * vName ) > vTStore ).
tff(func_def_217,type,
sK182: ( vTStore * vName ) > vName ).
tff(func_def_218,type,
sK183: ( vTStore * vName ) > vName ).
tff(func_def_219,type,
sK184: vOptTable > vTable ).
tff(func_def_220,type,
sK185: vSelect > vAttrL ).
tff(func_def_221,type,
sK186: vTable > vAttrL ).
tff(func_def_222,type,
sK187: vTable > vRawTable ).
tff(func_def_223,type,
sK188: vTable > vAttrL ).
tff(func_def_224,type,
sK189: vTable > vRawTable ).
tff(func_def_225,type,
sK190: ( vTType * vSelect ) > vAttrL ).
tff(func_def_226,type,
sK191: ( vTType * vSelect ) > vTType ).
tff(func_def_227,type,
sK192: ( vTType * vSelect ) > vTType ).
tff(func_def_228,type,
sK193: vOptTable > vTable ).
tff(func_def_229,type,
sK194: vOptQuery > vQuery ).
tff(func_def_230,type,
sK195: vOptQuery > vQuery ).
tff(func_def_231,type,
sK196: ( vTTContext * vName ) > vName ).
tff(func_def_232,type,
sK197: ( vTTContext * vName ) > vTType ).
tff(func_def_233,type,
sK198: ( vTTContext * vName ) > vTTContext ).
tff(func_def_234,type,
sK199: ( vTTContext * vName ) > vName ).
tff(func_def_235,type,
sK200: ( vTTContext * vName ) > vName ).
tff(func_def_236,type,
sK201: ( vTTContext * vName ) > vTType ).
tff(func_def_237,type,
sK202: ( vTTContext * vName ) > vTTContext ).
tff(func_def_238,type,
sK203: ( vTTContext * vName ) > vName ).
tff(func_def_239,type,
sK204: ( vTTContext * vName ) > vName ).
tff(func_def_240,type,
sK205: vTStore > vName ).
tff(func_def_241,type,
sK206: vTStore > vTable ).
tff(func_def_242,type,
sK207: vTStore > vTStore ).
tff(func_def_243,type,
sK208: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_244,type,
sK209: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_245,type,
sK210: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_246,type,
sK211: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_247,type,
sK212: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_248,type,
sK213: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_249,type,
sK214: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_250,type,
sK215: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_251,type,
sK216: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_252,type,
sK217: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_253,type,
sK218: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_254,type,
sK219: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_255,type,
sK220: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_256,type,
sK221: ( vRawTable * vRow ) > vRow ).
tff(func_def_257,type,
sK222: ( vRawTable * vRow ) > vRow ).
tff(func_def_258,type,
sK223: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_259,type,
sK224: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_260,type,
sK225: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_261,type,
sK226: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_262,type,
sK227: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_263,type,
sK228: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_264,type,
sK229: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_265,type,
sK230: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_266,type,
sK231: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_267,type,
sK232: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_268,type,
sK233: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_269,type,
sK234: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_270,type,
sK235: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_271,type,
sK236: ( vRawTable * vRow ) > vRow ).
tff(func_def_272,type,
sK237: ( vRawTable * vRow ) > vRow ).
tff(func_def_273,type,
sK238: ( vTStore * vQuery ) > vTable ).
tff(func_def_274,type,
sK239: ( vTStore * vQuery ) > vTable ).
tff(func_def_275,type,
sK240: ( vTStore * vQuery ) > vTStore ).
tff(func_def_276,type,
sK241: ( vTStore * vQuery ) > vTable ).
tff(func_def_277,type,
sK242: ( vTStore * vQuery ) > vTable ).
tff(func_def_278,type,
sK243: ( vTStore * vQuery ) > vTStore ).
tff(func_def_279,type,
sK244: ( vTStore * vQuery ) > vTable ).
tff(func_def_280,type,
sK245: ( vTStore * vQuery ) > vTable ).
tff(func_def_281,type,
sK246: ( vTStore * vQuery ) > vTStore ).
tff(func_def_282,type,
sK247: ( vTStore * vQuery ) > vPred ).
tff(func_def_283,type,
sK248: ( vTStore * vQuery ) > vSelect ).
tff(func_def_284,type,
sK249: ( vTStore * vQuery ) > vOptTable ).
tff(func_def_285,type,
sK250: ( vTStore * vQuery ) > vTStore ).
tff(func_def_286,type,
sK251: ( vTStore * vQuery ) > vName ).
tff(func_def_287,type,
sK252: ( vTStore * vQuery ) > vTable ).
tff(func_def_288,type,
sK253: ( vTStore * vQuery ) > vQuery ).
tff(func_def_289,type,
sK254: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_290,type,
sK255: ( vTStore * vQuery ) > vTStore ).
tff(func_def_291,type,
sK256: ( vTStore * vQuery ) > vTable ).
tff(func_def_292,type,
sK257: ( vTStore * vQuery ) > vQuery ).
tff(func_def_293,type,
sK258: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_294,type,
sK259: ( vTStore * vQuery ) > vTStore ).
tff(func_def_295,type,
sK260: ( vTStore * vQuery ) > vTable ).
tff(func_def_296,type,
sK261: ( vTStore * vQuery ) > vQuery ).
tff(func_def_297,type,
sK262: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_298,type,
sK263: ( vTStore * vQuery ) > vTStore ).
tff(func_def_299,type,
sK264: ( vTStore * vQuery ) > vTable ).
tff(func_def_300,type,
sK265: ( vTStore * vQuery ) > vQuery ).
tff(func_def_301,type,
sK266: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_302,type,
sK267: ( vTStore * vQuery ) > vTStore ).
tff(func_def_303,type,
sK268: ( vTStore * vQuery ) > vTable ).
tff(func_def_304,type,
sK269: ( vTStore * vQuery ) > vQuery ).
tff(func_def_305,type,
sK270: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_306,type,
sK271: ( vTStore * vQuery ) > vTStore ).
tff(func_def_307,type,
sK272: ( vTStore * vQuery ) > vTable ).
tff(func_def_308,type,
sK273: ( vTStore * vQuery ) > vQuery ).
tff(func_def_309,type,
sK274: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_310,type,
sK275: ( vTStore * vQuery ) > vTStore ).
tff(func_def_311,type,
sK276: ( vTStore * vQuery ) > vQuery ).
tff(func_def_312,type,
sK277: ( vTStore * vQuery ) > vQuery ).
tff(func_def_313,type,
sK278: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_314,type,
sK279: ( vTStore * vQuery ) > vTStore ).
tff(func_def_315,type,
sK280: ( vTStore * vQuery ) > vQuery ).
tff(func_def_316,type,
sK281: ( vTStore * vQuery ) > vQuery ).
tff(func_def_317,type,
sK282: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_318,type,
sK283: ( vTStore * vQuery ) > vTStore ).
tff(func_def_319,type,
sK284: ( vTStore * vQuery ) > vQuery ).
tff(func_def_320,type,
sK285: ( vTStore * vQuery ) > vQuery ).
tff(func_def_321,type,
sK286: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_322,type,
sK287: ( vTStore * vQuery ) > vTStore ).
tff(func_def_323,type,
sK288: ( vTStore * vQuery ) > vQuery ).
tff(func_def_324,type,
sK289: ( vTStore * vQuery ) > vQuery ).
tff(func_def_325,type,
sK290: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_326,type,
sK291: ( vTStore * vQuery ) > vTStore ).
tff(func_def_327,type,
sK292: ( vTStore * vQuery ) > vQuery ).
tff(func_def_328,type,
sK293: ( vTStore * vQuery ) > vQuery ).
tff(func_def_329,type,
sK294: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_330,type,
sK295: ( vTStore * vQuery ) > vTStore ).
tff(func_def_331,type,
sK296: ( vTStore * vQuery ) > vQuery ).
tff(func_def_332,type,
sK297: ( vTStore * vQuery ) > vQuery ).
tff(func_def_333,type,
sK298: ( vTStore * vQuery ) > vOptQuery ).
tff(func_def_334,type,
sK299: ( vTStore * vQuery ) > vTStore ).
tff(func_def_335,type,
sK300: ( vTStore * vQuery ) > vPred ).
tff(func_def_336,type,
sK301: ( vTStore * vQuery ) > vTable ).
tff(func_def_337,type,
sK302: ( vTStore * vQuery ) > vSelect ).
tff(func_def_338,type,
sK303: ( vTStore * vQuery ) > vOptTable ).
tff(func_def_339,type,
sK304: ( vTStore * vQuery ) > vOptTable ).
tff(func_def_340,type,
sK305: ( vTStore * vQuery ) > vTStore ).
tff(func_def_341,type,
sK306: ( vTStore * vQuery ) > vName ).
tff(func_def_342,type,
sK307: ( vTStore * vQuery ) > vPred ).
tff(func_def_343,type,
sK308: ( vTStore * vQuery ) > vTable ).
tff(func_def_344,type,
sK309: ( vTStore * vQuery ) > vSelect ).
tff(func_def_345,type,
sK310: ( vTStore * vQuery ) > vOptTable ).
tff(func_def_346,type,
sK311: ( vTStore * vQuery ) > vOptTable ).
tff(func_def_347,type,
sK312: ( vTStore * vQuery ) > vTStore ).
tff(func_def_348,type,
sK313: ( vTStore * vQuery ) > vName ).
tff(func_def_349,type,
sK314: ( vTStore * vQuery ) > vTable ).
tff(func_def_350,type,
sK315: ( vTStore * vQuery ) > vTStore ).
tff(func_def_351,type,
sK316: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_352,type,
sK317: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_353,type,
sK318: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_354,type,
sK319: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_355,type,
sK320: ( vRawTable * vRawTable ) > vRow ).
tff(func_def_356,type,
sK321: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_357,type,
sK322: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_358,type,
sK323: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_359,type,
sK324: ( vRawTable * vRawTable ) > vRawTable ).
tff(func_def_360,type,
sK325: ( vTTContext * ( vName * ( vSelect * ( vTType * vPred ) ) ) ) > vTType ).
tff(f25,axiom,
! [X0: vName,X1: vFType,X2: vTType] : ( vttempty != vttcons(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-ttempty-ttcons') ).
tff(f37,axiom,
! [X0: vVal,X1: vRow] : ( vrempty != vrcons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-rempty-rcons') ).
tff(f109,axiom,
! [X0: vTType,X1: vRow] :
( ( ( ! [X5: vVal,X6: vRow] : ( X1 != vrcons(X5,X6) )
| ! [X2: vName,X3: vFType,X4: vTType] : ( X0 != vttcons(X2,X3,X4) ) )
& ( ( X1 != vrempty )
| ( X0 != vttempty ) ) )
=> ~ vwelltypedRow(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','welltypedRow-2') ).
tff(f113,axiom,
! [X0: vTType,X1: vRow,X2: vRawTable] :
( vwelltypedRawtable(X0,vtcons(X1,X2))
<=> ( vwelltypedRawtable(X0,X2)
& vwelltypedRow(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','welltypedRawtable-1') ).
tff(f294,conjecture,
! [X0: vName,X1: vFType,X2: vTType] :
( vwelltypedRawtable(vttcons(X0,X1,X2),vtcons(vrempty,vrt2))
=> vwelltypedRawtable(X2,vdropFirstColRaw(vtcons(vrempty,vrt2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dropFirstColRawPreservesWelltypedRaw-tcons-rempty') ).
tff(f295,negated_conjecture,
~ ! [X0: vName,X1: vFType,X2: vTType] :
( vwelltypedRawtable(vttcons(X0,X1,X2),vtcons(vrempty,vrt2))
=> vwelltypedRawtable(X2,vdropFirstColRaw(vtcons(vrempty,vrt2))) ),
inference(negated_conjecture,[status(cth)],[f294]) ).
tff(f300,plain,
? [X0: vName,X1: vFType,X2: vTType] :
( vwelltypedRawtable(vttcons(X0,X1,X2),vtcons(vrempty,vrt2))
& ~ vwelltypedRawtable(X2,vdropFirstColRaw(vtcons(vrempty,vrt2))) ),
inference(ennf_transformation,[],[f295]) ).
tff(f320,plain,
! [X0: vTType,X1: vRow] :
( ( ? [X5: vVal,X6: vRow] : ( vrcons(X5,X6) = X1 )
& ? [X2: vName,X3: vFType,X4: vTType] : ( vttcons(X2,X3,X4) = X0 ) )
| ( ( vrempty = X1 )
& ( vttempty = X0 ) )
| ~ vwelltypedRow(X0,X1) ),
inference(ennf_transformation,[],[f109]) ).
tff(f321,plain,
! [X0: vTType,X1: vRow] :
( ( ? [X5: vVal,X6: vRow] : ( vrcons(X5,X6) = X1 )
& ? [X2: vName,X3: vFType,X4: vTType] : ( vttcons(X2,X3,X4) = X0 ) )
| ( ( vrempty = X1 )
& ( vttempty = X0 ) )
| ~ vwelltypedRow(X0,X1) ),
inference(flattening,[],[f320]) ).
tff(f449,plain,
( vwelltypedRawtable(vttcons(sK42,sK43,sK44),vtcons(vrempty,vrt2))
& ~ vwelltypedRawtable(sK44,vdropFirstColRaw(vtcons(vrempty,vrt2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43,sK44]),skolemize(X0,sK42),skolemize(X1,sK43),skolemize(X2,sK44)],[f300]) ).
tff(f457,plain,
! [X0: vTType,X1: vRow,X2: vRawTable] :
( ( ~ vwelltypedRawtable(X0,vtcons(X1,X2))
| ( vwelltypedRawtable(X0,X2)
& vwelltypedRow(X0,X1) ) )
& ( ~ vwelltypedRawtable(X0,X2)
| ~ vwelltypedRow(X0,X1)
| vwelltypedRawtable(X0,vtcons(X1,X2)) ) ),
inference(nnf_transformation,[],[f113]) ).
tff(f458,plain,
! [X0: vTType,X1: vRow,X2: vRawTable] :
( ( ~ vwelltypedRawtable(X0,vtcons(X1,X2))
| ( vwelltypedRawtable(X0,X2)
& vwelltypedRow(X0,X1) ) )
& ( ~ vwelltypedRawtable(X0,X2)
| ~ vwelltypedRow(X0,X1)
| vwelltypedRawtable(X0,vtcons(X1,X2)) ) ),
inference(flattening,[],[f457]) ).
tff(f478,plain,
! [X0: vTType,X1: vRow] :
( ( ( vrcons(sK101(X1),sK102(X1)) = X1 )
& ( vttcons(sK98(X0),sK99(X0),sK100(X0)) = X0 ) )
| ( ( vrempty = X1 )
& ( vttempty = X0 ) )
| ~ vwelltypedRow(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98,sK99,sK100,sK101,sK102]),skolemize(X2,sK98(X0)),skolemize(X3,sK99(X0)),skolemize(X4,sK100(X0)),skolemize(X5,sK101(X1)),skolemize(X6,sK102(X1))],[f321]) ).
tff(f631,plain,
vwelltypedRawtable(vttcons(sK42,sK43,sK44),vtcons(vrempty,vrt2)),
inference(cnf_transformation,[],[f449]) ).
tff(f633,plain,
! [X0: vVal,X1: vRow] : ( vrempty != vrcons(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tff(f657,plain,
! [X2: vRawTable,X0: vTType,X1: vRow] :
( ~ vwelltypedRawtable(X0,vtcons(X1,X2))
| vwelltypedRow(X0,X1) ),
inference(cnf_transformation,[],[f458]) ).
tff(f660,plain,
! [X2: vTType,X0: vName,X1: vFType] : ( vttempty != vttcons(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
tff(f728,plain,
! [X0: vTType,X1: vRow] :
( ( vrcons(sK101(X1),sK102(X1)) = X1 )
| ( vttempty = X0 )
| ~ vwelltypedRow(X0,X1) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_50,negated_conjecture,
vwelltypedRawtable(vttcons(sK42,sK43,sK44),vtcons(vrempty,vrt2)),
inference(cnf_transformation,[],[f631]) ).
tcf(c_51,plain,
! [X0_vRow: vRow,X0_vVal: vVal] : vrcons(X0_vVal,X0_vRow) != vrempty,
inference(cnf_transformation,[],[f633]) ).
tcf(c_75,plain,
! [X0_vRow: vRow,X0_vRawTable: vRawTable,X0_vTType: vTType] :
( vwelltypedRow(X0_vTType,X0_vRow)
| ~ vwelltypedRawtable(X0_vTType,vtcons(X0_vRow,X0_vRawTable)) ),
inference(cnf_transformation,[],[f657]) ).
tcf(c_78,plain,
! [X0_vName: vName,X0_vFType: vFType,X0_vTType: vTType] : vttcons(X0_vName,X0_vFType,X0_vTType) != vttempty,
inference(cnf_transformation,[],[f660]) ).
tcf(c_145,plain,
! [X0_vRow: vRow,X0_vTType: vTType] :
( ( X0_vTType = vttempty )
| ( vrcons(sK101(X0_vRow),sK102(X0_vRow)) = X0_vRow )
| ~ vwelltypedRow(X0_vTType,X0_vRow) ),
inference(cnf_transformation,[],[f728]) ).
tcf(c_70742,plain,
vwelltypedRow(vttcons(sK42,sK43,sK44),vrempty),
inference(superposition,[status(thm)],[c_50,c_75]) ).
tcf(c_78080,plain,
( ( vttcons(sK42,sK43,sK44) = vttempty )
| ( vrcons(sK101(vrempty),sK102(vrempty)) = vrempty ) ),
inference(superposition,[status(thm)],[c_70742,c_145]) ).
tcf(c_78096,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_78080,c_78,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM280_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 % Computer : n011.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Fri Sep 25 08:03:45 UTC 2026
% 0.17/0.40 % CPUTime :
% 0.17/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 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
% 0.17/0.48
% 0.17/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.48
% 0.17/0.48 % Detected problem language: tptp
% 0.17/0.50 % Proving...
% 21.52/4.99 % SZS status Started for theBenchmark.p
% 21.52/4.99 % SZS status Theorem for theBenchmark.p
% 21.52/4.99
% 21.52/4.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.52/4.99
% 21.52/4.99 % ------ iProver source info
% 21.52/4.99
% 21.52/4.99 % git: date: 2026-07-19 20:42:38 +0200
% 21.52/4.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.52/4.99 % git: non_committed_changes: false
% 21.52/4.99
% 21.52/4.99 % ------ Parsing...
% 21.52/4.99 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 21.52/4.99 %
% 21.52/4.99
% 21.52/4.99 % ------ Preprocessing... sup_sim: 1 pe_s pe_e sup_sim: 0 pe_s pe_e %
% 21.52/4.99
% 21.52/4.99 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 21.52/4.99 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
% 21.52/4.99 %
% 21.52/4.99
% 21.52/4.99 % ------ Preprocessing...
% 21.52/4.99 % ------ Proving...
% 21.52/4.99 % ------ Problem Properties
% 21.52/4.99
% 21.52/4.99 %
% 21.52/4.99 % clauses 491
% 21.52/4.99 % conjectures 1
% 21.52/4.99 % EPR 20
% 21.52/4.99 % Horn 351
% 21.52/4.99 % unary 61
% 21.52/4.99 % binary 309
% 21.52/4.99 % lits 1108
% 21.52/4.99 % lits eq 575
% 21.52/4.99 % fd_pure 0
% 21.52/4.99 % fd_pseudo 0
% 21.52/4.99 % fd_cond 27
% 21.52/4.99 % fd_pseudo_cond 36
% 21.52/4.99 % AC symbols 0
% 21.52/4.99
% 21.52/4.99 % ------ Schedule dynamic 5 is on
% 21.52/4.99
% 21.52/4.99 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.52/4.99
% 21.52/4.99
% 21.52/4.99 % ------
% 21.52/4.99 % Current options:
% 21.52/4.99 % ------
% 21.52/4.99
% 21.52/4.99
% 21.52/4.99 %
% 21.52/4.99
% 21.52/4.99 % ------ Proving...
% 21.52/4.99 %
% 21.52/4.99
% 21.52/4.99 % SZS status Theorem for theBenchmark.p
% 21.52/4.99
% 21.52/4.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.52/4.99
% 21.52/4.99
%------------------------------------------------------------------------------