%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU634^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:35:47 AM UTC 2026
% Result : Theorem 221.42s 32.89s
% Output : Refutation 221.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 44
% Syntax : Number of formulae : 188 ( 50 unt; 0 typ; 27 def)
% Number of atoms : 3482 ( 911 equ; 0 cnn)
% Maximal formula atoms : 152 ( 18 avg)
% Number of connectives : 2393 ( 200 ~; 243 |; 465 &; 720 @)
% ( 31 <=>; 660 =>; 0 <=; 0 <~>)
% Maximal formula depth : 158 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 812 ( 807 usr; 185 con; 0-4 aty)
% ( 63 !!; 11 ??; 0 @@+; 0 @@-)
% Number of variables : 219 ( 89 ^; 125 !; 5 ?; 219 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_192,type,
sP1: $o > $o ).
thf(func_def_193,type,
sP2: $o > $o ).
thf(func_def_196,type,
sK5: ( $i > $i > $o ) > $i > $i ).
thf(func_def_197,type,
sK6: ( $i > $i > $o ) > $i > $i ).
thf(func_def_198,type,
sK7: $i > $i > $o ).
thf(func_def_200,type,
sK9: $i > $i ).
thf(func_def_204,type,
sK13: $i > ( $i > $o ) > $i ).
thf(func_def_206,type,
sK15: $i > $o ).
thf(func_def_208,type,
sK17: $i > $i ).
thf(func_def_212,type,
sK21: $i > $i ).
thf(func_def_213,type,
sK22: $i > $i > $i ).
thf(func_def_214,type,
sK23: $i > $i > $i ).
thf(func_def_215,type,
sK24: $i > $i > $i ).
thf(func_def_216,type,
sK25: $i > $i > $i > $i ).
thf(func_def_218,type,
sK27: $i > $i ).
thf(func_def_219,type,
sK28: $i > $i ).
thf(func_def_220,type,
sK29: $i > $i ).
thf(func_def_221,type,
sK30: $i > $i ).
thf(func_def_222,type,
sK31: $i > $i ).
thf(func_def_223,type,
sK32: $i > $i ).
thf(func_def_224,type,
sK33: $i > $i ).
thf(func_def_225,type,
sK34: $i > $i ).
thf(func_def_226,type,
sK35: $i > $i ).
thf(func_def_227,type,
sK36: $i > $i ).
thf(func_def_228,type,
sK37: $i > $i ).
thf(func_def_229,type,
sK38: $i > $i ).
thf(func_def_230,type,
sK39: $i > $i ).
thf(func_def_231,type,
sK40: $i > $i ).
thf(func_def_232,type,
sK41: $i > $i ).
thf(func_def_233,type,
sK42: $i > $i ).
thf(func_def_234,type,
sK43: $i > $i ).
thf(func_def_235,type,
sK44: $i > $i ).
thf(func_def_236,type,
sK45: $i > $i > $i > $i ).
thf(func_def_237,type,
sK46: $i > $i > $i ).
thf(func_def_238,type,
sK47: $i > $i > $i ).
thf(func_def_239,type,
sK48: $i > $i > $i > $i ).
thf(func_def_240,type,
sK49: $i > $i > $i > $i ).
thf(func_def_241,type,
sK50: $i > $i > $i ).
thf(func_def_242,type,
sK51: $i > $i > $i > $i ).
thf(func_def_243,type,
sK52: $i > $i > $i ).
thf(func_def_244,type,
sK53: $i > $i > $i ).
thf(func_def_245,type,
sK54: $i > $i ).
thf(func_def_246,type,
sK55: $i > $i > $i > $i ).
thf(func_def_247,type,
sK56: $i > $i > $i ).
thf(func_def_248,type,
sK57: $i > $i > $i > $i ).
thf(func_def_249,type,
sK58: $i > $i > $i > $i ).
thf(func_def_250,type,
sK59: $i > $i > $i ).
thf(func_def_251,type,
sK60: $i > $i > $i > $i ).
thf(func_def_252,type,
sK61: $i > $i > $i > $i ).
thf(func_def_253,type,
sK62: $i > $i > $i ).
thf(func_def_254,type,
sK63: $i > $i > $i > $i ).
thf(func_def_255,type,
sK64: $i > $i > $i > $i ).
thf(func_def_256,type,
sK65: $i > $i > $i > $i ).
thf(func_def_257,type,
sK66: $i > $i > $i > $i ).
thf(func_def_258,type,
sK67: $i > $i > $i ).
thf(func_def_259,type,
sK68: $i > $i > $i > $i ).
thf(func_def_260,type,
sK69: $i > $i > $i > $i ).
thf(func_def_261,type,
sK70: $i > $i > $i > $i ).
thf(func_def_262,type,
sK71: $i > $i > $i > $i ).
thf(func_def_263,type,
sK72: $i > $i > $i > $i ).
thf(func_def_264,type,
sK73: $i > $i > $i ).
thf(func_def_265,type,
sK74: $i > $i > $i > $i ).
thf(func_def_266,type,
sK75: $i > $i > $i > $i ).
thf(func_def_267,type,
sK76: $i > $i > $i ).
thf(func_def_268,type,
sK77: $i > $i > $i > $i ).
thf(func_def_269,type,
sK78: $i > $i ).
thf(func_def_270,type,
sK79: $i > $i > $i > $i ).
thf(func_def_271,type,
sK80: $i > $i > $i > $i ).
thf(func_def_272,type,
sK81: $i > $i > $i > $i ).
thf(func_def_273,type,
sK82: $i > $i > $i ).
thf(func_def_274,type,
sK83: $i > $i > $i > $i ).
thf(func_def_275,type,
sK84: $i > $i > $i > $i ).
thf(func_def_276,type,
sK85: $i > $i > $i > $i ).
thf(func_def_277,type,
sK86: $i > $i > $i > $i ).
thf(func_def_278,type,
sK87: $i > $i ).
thf(func_def_279,type,
sK88: $i > $i > $i ).
thf(func_def_280,type,
sK89: $i > $i > $i > $i ).
thf(func_def_281,type,
sK90: $i > $i > $i > $i ).
thf(func_def_282,type,
sK91: $i > $i > $i > $i ).
thf(func_def_283,type,
sK92: $i > $i > $i > $i ).
thf(func_def_284,type,
sK93: $i > $i > $i > $i ).
thf(func_def_285,type,
sK94: $i > $i > $i ).
thf(func_def_286,type,
sK95: $i > $i > $i ).
thf(func_def_287,type,
sK96: $i > $i > $i > $i ).
thf(func_def_288,type,
sK97: $i > $i > $i ).
thf(func_def_289,type,
sK98: $i > $i ).
thf(func_def_290,type,
sK99: $i > $i ).
thf(func_def_291,type,
sK100: $i > $i ).
thf(func_def_292,type,
sK101: $i > $i ).
thf(func_def_293,type,
sK102: $i > $i ).
thf(func_def_294,type,
sK103: $i > $i ).
thf(func_def_295,type,
sK104: $i > $i ).
thf(func_def_296,type,
sK105: $i > $i ).
thf(func_def_297,type,
sK106: $i > $i ).
thf(func_def_298,type,
sK107: $i > $i ).
thf(func_def_299,type,
sK108: $i > $i > $i ).
thf(func_def_300,type,
sK109: $i > $i > $i > $i ).
thf(func_def_301,type,
sK110: $i > $i > $i > $i ).
thf(func_def_302,type,
sK111: $i > $i > $i > $i ).
thf(func_def_303,type,
sK112: $i > $i > $i > $i ).
thf(func_def_304,type,
sK113: $i > $i ).
thf(func_def_305,type,
sK114: $i > $i > $i > $i ).
thf(func_def_306,type,
sK115: $i > $i > $i ).
thf(func_def_307,type,
sK116: $i > $i > $i > $i ).
thf(func_def_308,type,
sK117: $i > $i > $i > $i ).
thf(func_def_309,type,
sK118: $i > $i > $i ).
thf(func_def_310,type,
sK119: $i > $i > $i > $i ).
thf(func_def_311,type,
sK120: $i > $i > $i > $i ).
thf(func_def_312,type,
sK121: $i > $i > $i > $i ).
thf(func_def_313,type,
sK122: $i > $i > $i > $i ).
thf(func_def_314,type,
sK123: $i > $i > $i > $i ).
thf(func_def_315,type,
sK124: $i > $i > $i ).
thf(func_def_316,type,
sK125: $i > $i > $i > $i ).
thf(func_def_317,type,
sK126: $i > $i > $i > $i ).
thf(func_def_318,type,
sK127: $i > $i ).
thf(func_def_319,type,
sK128: $i > $i > $i ).
thf(func_def_320,type,
sK129: $i > $i > $i > $i ).
thf(func_def_321,type,
sK130: $i > $i > $i > $i ).
thf(func_def_322,type,
sK131: $i > $i > $i > $i ).
thf(func_def_323,type,
sK132: $i > $i > $i > $i ).
thf(func_def_324,type,
sK133: $i > $i > $i > $i ).
thf(func_def_325,type,
sK134: $i > $i > $i ).
thf(func_def_326,type,
sK135: $i > $i > $i ).
thf(func_def_327,type,
sK136: $i > $i > $i > $i ).
thf(func_def_328,type,
sK137: $i > $i > $i ).
thf(func_def_329,type,
sK138: $i > $i ).
thf(func_def_330,type,
sK139: $i > $i > $i ).
thf(func_def_331,type,
sK140: $i > $i > $i > $i ).
thf(func_def_332,type,
sK141: $i > $i > $i > $i ).
thf(func_def_333,type,
sK142: $i > $i > $i > $i ).
thf(func_def_334,type,
sK143: $i > $i > $i > $i ).
thf(func_def_335,type,
sK144: $i > $i ).
thf(func_def_336,type,
sK145: $i > $i ).
thf(func_def_337,type,
sK146: $i > $i ).
thf(func_def_338,type,
sK147: $i > $i ).
thf(func_def_339,type,
sK148: $i > $i > $i ).
thf(func_def_340,type,
sK149: $i > $i > $i > $i ).
thf(func_def_341,type,
sK150: $i > $i > $i > $i ).
thf(func_def_342,type,
sK151: $i > $i > $i > $i ).
thf(func_def_343,type,
sK152: $i > $i > $i > $i ).
thf(func_def_344,type,
sK153: $i > $i > $i ).
thf(func_def_345,type,
sK154: $i > $i > $i > $i ).
thf(func_def_346,type,
sK155: $i > $i > $i > $i ).
thf(func_def_347,type,
sK156: $i > $i > $i > $i ).
thf(func_def_348,type,
sK157: $i > $i ).
thf(func_def_349,type,
sK158: $i > $i > $i > $i ).
thf(func_def_350,type,
sK159: $i > $i > $i ).
thf(func_def_351,type,
sK160: $i > $i > $i ).
thf(func_def_352,type,
sK161: $i > $i > $i > $i ).
thf(func_def_353,type,
sK162: $i > $i > $i ).
thf(func_def_354,type,
sK163: $i > $i ).
thf(func_def_355,type,
sK164: $i > $i ).
thf(func_def_356,type,
sK165: $i > $i ).
thf(func_def_357,type,
sK166: $i > $i > $i > $i ).
thf(func_def_358,type,
sK167: $i > $i > $i ).
thf(func_def_359,type,
sK168: $i > $i > $i ).
thf(func_def_360,type,
sK169: $i > $i > $i > $i ).
thf(func_def_361,type,
sK170: $i > $i > $i > $i ).
thf(func_def_362,type,
sK171: $i > $i > $i ).
thf(func_def_363,type,
sK172: $i > $i > $i > $i ).
thf(func_def_364,type,
sK173: $i > $i > $i > $i ).
thf(func_def_365,type,
sK174: $i > $i > $i > $i ).
thf(func_def_366,type,
sK175: $i > $i ).
thf(func_def_367,type,
sK176: $i > $i ).
thf(func_def_368,type,
sK177: $i > $i > $i ).
thf(func_def_369,type,
sK178: $i > $i > $i > $i ).
thf(func_def_370,type,
sK179: $i > $i > $i > $i ).
thf(func_def_371,type,
sK180: $i > $i > $i > $i ).
thf(func_def_372,type,
sK181: $i > $i > $i > $i ).
thf(func_def_373,type,
sK182: $i > $i ).
thf(func_def_374,type,
sK183: $i > $i > $i > $i ).
thf(func_def_375,type,
sK184: $i > $i > $i ).
thf(func_def_376,type,
sK185: $i > $i > $i > $i ).
thf(func_def_377,type,
sK186: $i > $i > $i ).
thf(func_def_378,type,
sK187: $i > $i > $i ).
thf(func_def_379,type,
sK188: $i > $i ).
thf(func_def_380,type,
sK189: $i > $i ).
thf(func_def_381,type,
sK190: $i > $i > $i ).
thf(func_def_382,type,
sK191: $i > $i > $i > $i ).
thf(func_def_383,type,
sK192: $i > $i > $i > $i ).
thf(func_def_384,type,
sK193: $i > $i > $i > $i ).
thf(func_def_385,type,
sK194: $i > $i ).
thf(func_def_386,type,
sK195: $i > $i > $i ).
thf(func_def_387,type,
sK196: $i > $i > $i > $i ).
thf(func_def_388,type,
sK197: $i > $i > $i > $i ).
thf(func_def_389,type,
sK198: $i > $i > $i > $i ).
thf(func_def_390,type,
sK199: $i > $i > $i > $i ).
thf(func_def_391,type,
sK200: $i > $i ).
thf(func_def_392,type,
sK201: $i > $i ).
thf(func_def_393,type,
sK202: $i > $i > $i > $i ).
thf(func_def_394,type,
sK203: $i > $i > $i ).
thf(func_def_395,type,
sK204: $i > $i > $i > $i ).
thf(func_def_396,type,
sK205: $i > $i > $i ).
thf(func_def_397,type,
sK206: $i > $i > $i ).
thf(func_def_398,type,
sK207: $i > $i > $i ).
thf(func_def_399,type,
sK208: $i > $i > $i > $i ).
thf(func_def_400,type,
sK209: $i > $i > $i ).
thf(func_def_401,type,
sK210: $i > $i > $i > $i ).
thf(func_def_402,type,
sK211: $i > $i > $i > $i ).
thf(func_def_403,type,
sK212: $i > $i ).
thf(func_def_404,type,
sK213: $i > $i ).
thf(func_def_405,type,
sK214: $i > $i > $i > $i ).
thf(func_def_406,type,
sK215: $i > $i > $i ).
thf(func_def_407,type,
sK216: $i > $i > $i > $i ).
thf(func_def_408,type,
sK217: $i > $i > $i ).
thf(func_def_409,type,
sK218: $i > $i > $i ).
thf(func_def_410,type,
sK219: $i > $i > $i ).
thf(func_def_411,type,
sK220: $i > $i ).
thf(func_def_412,type,
sK221: $i > $i > $i > $i ).
thf(func_def_413,type,
sK222: $i > $i > $i ).
thf(func_def_414,type,
sK223: $i > $i > $i ).
thf(func_def_415,type,
sK224: $i > $i > $i > $i ).
thf(func_def_416,type,
sK225: $i > $i > $i > $i ).
thf(func_def_417,type,
sK226: $i > $i > $i ).
thf(func_def_418,type,
sK227: $i > $i ).
thf(func_def_419,type,
sK228: $i > $i ).
thf(func_def_420,type,
sK229: $i > $i ).
thf(func_def_421,type,
sK230: $i > $i > $i > $i ).
thf(func_def_422,type,
sK231: $i > $i > $i ).
thf(func_def_423,type,
sK232: $i > $i > $i ).
thf(func_def_424,type,
sK233: $i > $i > $i > $i ).
thf(func_def_425,type,
sK234: $i > $i > $i > $i ).
thf(func_def_426,type,
sK235: $i > $i ).
thf(func_def_427,type,
sK236: $i > $i > $i > $i ).
thf(func_def_428,type,
sK237: $i > $i > $i ).
thf(func_def_429,type,
sK238: $i > $i > $i ).
thf(func_def_430,type,
sK239: $i > $i > $i > $i ).
thf(func_def_431,type,
sK240: $i > $i > $i > $i ).
thf(func_def_432,type,
sK241: $i > $i ).
thf(func_def_433,type,
sK242: $i > $i ).
thf(func_def_434,type,
sK243: $i > $i > $i > $i ).
thf(func_def_435,type,
sK244: $i > $i > $i ).
thf(func_def_436,type,
sK245: $i > $i > $i ).
thf(func_def_437,type,
sK246: $i > $i > $i > $i ).
thf(func_def_438,type,
sK247: $i > $i > $i ).
thf(func_def_439,type,
sK248: $i > $i > $i > $i ).
thf(func_def_440,type,
sK249: $i > $i > $i ).
thf(func_def_441,type,
sK250: $i > $i > $i ).
thf(func_def_442,type,
sK251: $i > $i > $i > $i ).
thf(func_def_443,type,
sK252: $i > $i ).
thf(func_def_444,type,
sK253: $i > $i ).
thf(func_def_445,type,
sK254: $i > $i ).
thf(func_def_446,type,
sK255: $i > $i ).
thf(func_def_447,type,
sK256: $i > $i > $i ).
thf(func_def_448,type,
sK257: $i > $i > $i > $i ).
thf(func_def_449,type,
sK258: $i > $i > $i > $i ).
thf(func_def_450,type,
sK259: $i > $i > $i > $i ).
thf(func_def_451,type,
sK260: $i > $i > $i > $i ).
thf(func_def_452,type,
sK261: $i > $i ).
thf(func_def_453,type,
sK262: $i > $i ).
thf(func_def_454,type,
sK263: $i > $i > $i ).
thf(func_def_455,type,
sK264: $i > $i > $i > $i ).
thf(func_def_456,type,
sK265: $i > $i > $i > $i ).
thf(func_def_457,type,
sK266: $i > $i > $i > $i ).
thf(func_def_458,type,
sK267: $i > $i > $i > $i ).
thf(func_def_459,type,
sK268: $i > $i ).
thf(func_def_460,type,
sK269: $i > $i > $i ).
thf(func_def_461,type,
sK270: $i > $i > $i > $i ).
thf(func_def_462,type,
sK271: $i > $i > $i > $i ).
thf(func_def_463,type,
sK272: $i > $i > $i > $i ).
thf(func_def_464,type,
sK273: $i > $i ).
thf(func_def_465,type,
sK274: $i > $i ).
thf(func_def_466,type,
sK275: $i > $i ).
thf(func_def_467,type,
sK276: $i > $i ).
thf(func_def_468,type,
sK277: $i > $i ).
thf(func_def_469,type,
sK278: $i > $i > $i > $i ).
thf(func_def_470,type,
sK279: $i > $i > $i ).
thf(func_def_471,type,
sK280: $i > $i > $i > $i ).
thf(func_def_472,type,
sK281: $i > $i > $i > $i ).
thf(func_def_473,type,
sK282: $i > $i ).
thf(func_def_474,type,
sK283: $i > $i > $i ).
thf(func_def_475,type,
sK284: $i > $i > $i > $i ).
thf(func_def_476,type,
sK285: $i > $i > $i > $i ).
thf(func_def_477,type,
sK286: $i > $i > $i > $i ).
thf(func_def_478,type,
sK287: $i > $i > $i > $i ).
thf(func_def_479,type,
sK288: $i > $i > $i ).
thf(func_def_480,type,
sK289: $i > $i > $i > $i ).
thf(func_def_481,type,
sK290: $i > $i > $i > $i ).
thf(func_def_482,type,
sK291: $i > $i > $i > $i ).
thf(func_def_483,type,
sK292: $i > $i ).
thf(func_def_484,type,
sK293: $i > $i ).
thf(func_def_485,type,
sK294: $i > $i ).
thf(func_def_486,type,
sK295: $i > $i ).
thf(func_def_487,type,
sK296: $i > $i ).
thf(func_def_488,type,
sK297: $i > $i ).
thf(func_def_489,type,
sK298: $i > $i ).
thf(func_def_490,type,
sK299: $i > $i ).
thf(func_def_491,type,
sK300: $i > $i ).
thf(func_def_492,type,
sK301: $i > $i ).
thf(func_def_493,type,
sK302: $i > $i ).
thf(func_def_494,type,
sK303: $i > $i ).
thf(func_def_495,type,
sK304: $i > $i ).
thf(func_def_496,type,
sK305: $i > $i ).
thf(func_def_497,type,
sK306: $i > $i ).
thf(func_def_498,type,
sK307: $i > $i ).
thf(func_def_499,type,
sK308: $i > $i ).
thf(func_def_500,type,
sK309: $i > $i ).
thf(func_def_501,type,
sK310: $i > $i ).
thf(func_def_502,type,
sK311: $i > $i ).
thf(func_def_503,type,
sK312: $i > $i > $i > $i ).
thf(func_def_504,type,
sK313: $i > $i > $i ).
thf(func_def_505,type,
sK314: $i > $i > $i ).
thf(func_def_506,type,
sK315: $i > $i > $i > $i ).
thf(func_def_507,type,
sK316: $i > $i > $i > $i ).
thf(func_def_508,type,
sK317: $i > $i > $i ).
thf(func_def_509,type,
sK318: $i > $i > $i > $i ).
thf(func_def_510,type,
sK319: $i > $i > $i ).
thf(func_def_511,type,
sK320: $i > $i > $i > $i ).
thf(func_def_512,type,
sK321: $i > $i > $i ).
thf(func_def_513,type,
sK322: $i > $i > $i ).
thf(func_def_514,type,
sK323: $i > $i > $i ).
thf(func_def_515,type,
sK324: $i > $i ).
thf(func_def_516,type,
sK325: $i > $i > $i ).
thf(func_def_517,type,
sK326: $i > $i > $i > $i ).
thf(func_def_518,type,
sK327: $i > $i > $i > $i ).
thf(func_def_519,type,
sK328: $i > $i > $i > $i ).
thf(func_def_520,type,
sK329: $i > $i > $i > $i ).
thf(func_def_521,type,
sK330: $i > $i > $i > $i ).
thf(func_def_522,type,
sK331: $i > $i > $i > $i ).
thf(func_def_523,type,
sK332: $i > $i > $i > $i ).
thf(func_def_524,type,
sK333: $i > $i > $i > $i ).
thf(func_def_525,type,
sK334: $i > $i > $i ).
thf(func_def_526,type,
sK335: $i > $i ).
thf(func_def_527,type,
sK336: $i > $i > $i > $i ).
thf(func_def_528,type,
sK337: $i > $i > $i > $i ).
thf(func_def_529,type,
sK338: $i > $i > $i > $i ).
thf(func_def_530,type,
sK339: $i > $i > $i > $i ).
thf(func_def_531,type,
sK340: $i > $i ).
thf(func_def_532,type,
sK341: $i > $i > $i > $i ).
thf(func_def_533,type,
sK342: $i > $i > $i > $i ).
thf(func_def_534,type,
sK343: $i > $i > $i > $i ).
thf(func_def_535,type,
sK344: $i > $i ).
thf(func_def_536,type,
sK345: $i > $i ).
thf(func_def_537,type,
sK346: $i > $i > $i > $i ).
thf(func_def_538,type,
sK347: $i > $i > $i ).
thf(func_def_539,type,
sK348: $i > $i > $i > $i ).
thf(func_def_540,type,
sK349: $i > $i ).
thf(func_def_541,type,
sK350: $i > $i > $i > $i ).
thf(func_def_542,type,
sK351: $i > $i > $i ).
thf(func_def_543,type,
sK352: $i > $i > $i > $i ).
thf(func_def_544,type,
sK353: $i > $i > $i > $i ).
thf(func_def_545,type,
sK354: $i > $i > $i ).
thf(func_def_546,type,
sK355: $i > $i > $i > $i ).
thf(func_def_547,type,
sK356: $i > $i > $i > $i ).
thf(func_def_548,type,
sK357: $i > $i > $i > $i ).
thf(func_def_549,type,
sK358: $i > $i > $i ).
thf(func_def_550,type,
sK359: $i > $i > $i ).
thf(func_def_551,type,
sK360: $i > $i > $i > $i ).
thf(func_def_552,type,
sK361: $i > $i > $i > $i ).
thf(func_def_553,type,
sK362: $i > $i > $i ).
thf(func_def_554,type,
sK363: $i > $i ).
thf(func_def_555,type,
sK364: $i > $i > $i ).
thf(func_def_556,type,
sK365: $i > $i > $i > $i ).
thf(func_def_557,type,
sK366: $i > $i > $i > $i ).
thf(func_def_558,type,
sK367: $i > $i > $i > $i ).
thf(func_def_559,type,
sK368: $i > $i > $i ).
thf(func_def_560,type,
sK369: $i > $i > $i > $i ).
thf(func_def_561,type,
sK370: $i > $i > $i > $i ).
thf(func_def_562,type,
sK371: $i > $i > $i > $i ).
thf(func_def_563,type,
sK372: $i > $i > $i > $i ).
thf(func_def_564,type,
sK373: $i > $i ).
thf(func_def_565,type,
sK374: $i > $i ).
thf(func_def_566,type,
sK375: $i > $i ).
thf(func_def_567,type,
sK376: $i > $i > $i > $i ).
thf(func_def_568,type,
sK377: $i > $i > $i ).
thf(func_def_569,type,
sK378: $i > $i > $i ).
thf(func_def_570,type,
sK379: $i > $i > $i > $i ).
thf(func_def_571,type,
sK380: $i > $i > $i > $i ).
thf(func_def_572,type,
sK381: $i > $i > $i ).
thf(func_def_573,type,
sK382: $i > $i ).
thf(func_def_574,type,
sK383: $i > $i > $i > $i ).
thf(func_def_575,type,
sK384: $i > $i > $i ).
thf(func_def_576,type,
sK385: $i > $i > $i > $i ).
thf(func_def_577,type,
sK386: $i > $i > $i > $i ).
thf(func_def_578,type,
sK387: $i > $i ).
thf(func_def_579,type,
sK388: $i > $i ).
thf(func_def_580,type,
sK389: $i > $i ).
thf(func_def_581,type,
sK390: $i > $i > $i > $i ).
thf(func_def_582,type,
sK391: $i > $i > $i ).
thf(func_def_583,type,
sK392: $i > $i > $i > $i ).
thf(func_def_584,type,
sK393: $i > $i > $i ).
thf(func_def_585,type,
sK394: $i > $i > $i ).
thf(func_def_586,type,
sK395: $i > $i > $i ).
thf(func_def_587,type,
sK396: $i > $i > $i > $i ).
thf(func_def_588,type,
sK397: $i > $i > $i > $i ).
thf(func_def_589,type,
sK398: $i > $i > $i > $i ).
thf(func_def_590,type,
sK399: $i > $i > $i > $i ).
thf(func_def_591,type,
sK400: $i > $i ).
thf(func_def_592,type,
sK401: $i > $i ).
thf(func_def_593,type,
sK402: $i > $i > $i ).
thf(func_def_594,type,
sK403: $i > $i > $i > $i ).
thf(func_def_595,type,
sK404: $i > $i > $i > $i ).
thf(func_def_596,type,
sK405: $i > $i > $i > $i ).
thf(func_def_597,type,
sK406: $i > $i ).
thf(func_def_598,type,
sK407: $i > $i > $i ).
thf(func_def_599,type,
sK408: $i > $i > $i > $i ).
thf(func_def_600,type,
sK409: $i > $i > $i > $i ).
thf(func_def_601,type,
sK410: $i > $i > $i > $i ).
thf(func_def_602,type,
sK411: $i > $i ).
thf(func_def_603,type,
sK412: $i > $i ).
thf(func_def_604,type,
sK413: $i > $i ).
thf(func_def_605,type,
sK414: $i > $i ).
thf(func_def_606,type,
sK415: $i > $i ).
thf(func_def_607,type,
sK416: $i > $i ).
thf(func_def_608,type,
sK417: $i > $i ).
thf(func_def_609,type,
sK418: $i > $i ).
thf(func_def_610,type,
sK419: $i > $i ).
thf(func_def_611,type,
sK420: $i > $i ).
thf(func_def_612,type,
sK421: $i > $i ).
thf(func_def_613,type,
sK422: $i > $i ).
thf(func_def_614,type,
sK423: $i > $i ).
thf(func_def_615,type,
sK424: $i > $i ).
thf(func_def_616,type,
sK425: $i > $i ).
thf(func_def_617,type,
sK426: $i > $i ).
thf(func_def_618,type,
sK427: $i > $i ).
thf(func_def_619,type,
sK428: $i > $i ).
thf(func_def_620,type,
sK429: $i > $i ).
thf(func_def_621,type,
sK430: $i > $i > $i > $i ).
thf(func_def_622,type,
sK431: $i > $i > $i ).
thf(func_def_623,type,
sK432: $i > $i > $i > $i ).
thf(func_def_624,type,
sK433: $i > $i > $i ).
thf(func_def_625,type,
sK434: $i > $i > $i ).
thf(func_def_626,type,
sK435: $i > $i > $i > $i ).
thf(func_def_627,type,
sK436: $i > $i > $i ).
thf(func_def_628,type,
sK437: $i > $i > $i ).
thf(func_def_629,type,
sK438: $i > $i > $i > $i ).
thf(func_def_630,type,
sK439: $i > $i > $i > $i ).
thf(func_def_631,type,
sK440: $i > $i ).
thf(func_def_632,type,
sK441: $i > $i > $i > $i ).
thf(func_def_633,type,
sK442: $i > $i > $i ).
thf(func_def_634,type,
sK443: $i > $i > $i > $i ).
thf(func_def_635,type,
sK444: $i > $i > $i > $i ).
thf(func_def_636,type,
sK445: $i > $i > $i ).
thf(func_def_637,type,
sK446: $i > $i > $i > $i ).
thf(func_def_638,type,
sK447: $i > $i > $i > $i ).
thf(func_def_639,type,
sK448: $i > $i > $i > $i ).
thf(func_def_640,type,
sK449: $i > $i > $i > $i ).
thf(func_def_641,type,
sK450: $i > $i ).
thf(func_def_642,type,
sK451: $i > $i > $i ).
thf(func_def_643,type,
sK452: $i > $i > $i > $i ).
thf(func_def_644,type,
sK453: $i > $i > $i > $i ).
thf(func_def_645,type,
sK454: $i > $i > $i > $i ).
thf(func_def_646,type,
sK455: $i > $i > $i ).
thf(func_def_647,type,
sK456: $i > $i > $i > $i ).
thf(func_def_648,type,
sK457: $i > $i > $i > $i ).
thf(func_def_649,type,
sK458: $i > $i > $i > $i ).
thf(func_def_650,type,
sK459: $i > $i > $i > $i ).
thf(func_def_651,type,
sK460: $i > $i > $i ).
thf(func_def_652,type,
sK461: $i > $i > $i > $i ).
thf(func_def_653,type,
sK462: $i > $i > $i > $i ).
thf(func_def_654,type,
sK463: $i > $i > $i > $i ).
thf(func_def_655,type,
sK464: $i > $i > $i > $i ).
thf(func_def_656,type,
sK465: $i > $i > $i ).
thf(func_def_657,type,
sK466: $i > $i > $i > $i ).
thf(func_def_658,type,
sK467: $i > $i > $i > $i ).
thf(func_def_659,type,
sK468: $i > $i > $i > $i ).
thf(func_def_660,type,
sK469: $i > $i > $i > $i ).
thf(func_def_661,type,
sK470: $i > $i > $i ).
thf(func_def_662,type,
sK471: $i > $i > $i > $i ).
thf(func_def_663,type,
sK472: $i > $i ).
thf(func_def_664,type,
sK473: $i > $i > $i > $i ).
thf(func_def_665,type,
sK474: $i > $i > $i > $i ).
thf(func_def_666,type,
sK475: $i > $i > $i > $i ).
thf(func_def_667,type,
sK476: $i > $i > $i > $i ).
thf(func_def_668,type,
sK477: $i > $i ).
thf(func_def_669,type,
sK478: $i > $i > $i ).
thf(func_def_670,type,
sK479: $i > $i > $i > $i ).
thf(func_def_671,type,
sK480: $i > $i > $i > $i ).
thf(func_def_672,type,
sK481: $i > $i > $i > $i ).
thf(func_def_673,type,
sK482: $i > $i > $i > $i ).
thf(func_def_674,type,
sK483: $i > $i > $i > $i ).
thf(func_def_675,type,
sK484: $i > $i > $i ).
thf(func_def_676,type,
sK485: $i > $i > $i ).
thf(func_def_677,type,
sK486: $i > $i > $i > $i ).
thf(func_def_678,type,
sK487: $i > $i > $i > $i ).
thf(func_def_682,type,
sK491: $i > $o ).
thf(func_def_690,type,
sK499: ( $i > $o ) > $i > $i ).
thf(func_def_691,type,
sK500: $i > $o ).
thf(func_def_699,type,
sK508: $i > $o ).
thf(func_def_704,type,
sK513: $i > $i ).
thf(func_def_707,type,
sK516: $i > $i ).
thf(func_def_712,type,
sK521: $i > $i > $i > $i ).
thf(func_def_713,type,
sK522: $i > $i > $i > $i ).
thf(func_def_725,type,
sK534: ( $i > $o ) > $i ).
thf(func_def_726,type,
sK535: $i > $o ).
thf(func_def_740,type,
sK549: $o > $i > $i > $i ).
thf(func_def_755,type,
sK564: $i > $o ).
thf(func_def_781,type,
sK590: $i > $i ).
thf(func_def_787,type,
sK596: ( $i > $o ) > $i > $i ).
thf(func_def_788,type,
sK597: $i > $o ).
thf(func_def_801,type,
sK610: $i > $o ).
thf(func_def_808,type,
sK617: $i > $i ).
thf(func_def_813,type,
sK622: ( $i > $o ) > $i ).
thf(func_def_814,type,
sK623: ( $i > $o ) > $i ).
thf(func_def_815,type,
sK624: $i > $o ).
thf(func_def_838,type,
sK647: $i > ( $i > $o ) > $i ).
thf(func_def_840,type,
sK649: $i > $o ).
thf(func_def_842,type,
sK651: $i > $i > $i ).
thf(func_def_855,type,
sK664: $i > $o ).
thf(func_def_857,type,
sK666: $i > $i > $i ).
thf(func_def_858,type,
sK667: $i > $i > $i ).
thf(func_def_868,type,
sK677: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_869,type,
sK678: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_870,type,
sK679: $i > $o ).
thf(func_def_871,type,
sK680: $i > $o ).
thf(func_def_872,type,
sK681: $i > $o ).
thf(func_def_880,type,
sK689: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_881,type,
sK690: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_882,type,
sK691: $i > $o ).
thf(func_def_883,type,
sK692: $i > $o ).
thf(func_def_896,type,
sK705: $i > $i > $i ).
thf(func_def_899,type,
sK708: ( $i > $o ) > $i > $i ).
thf(func_def_900,type,
sK709: $i > $o ).
thf(func_def_906,type,
sK715: $i > $i ).
thf(func_def_910,type,
sK719: $i > $o ).
thf(func_def_913,type,
sK722: ( $i > $o ) > $i > $i ).
thf(func_def_914,type,
sK723: $i > $o ).
thf(func_def_920,type,
sK729: $i > $o ).
thf(func_def_922,type,
sK731: $i > ( $i > $o ) > $i ).
thf(func_def_924,type,
sK733: $i > $o ).
thf(func_def_928,type,
sK737: $i > $i > $i ).
thf(func_def_937,type,
sK746: $i > $o ).
thf(func_def_946,type,
sK755: $i > $o ).
thf(func_def_956,type,
sK765: ( $i > $o ) > $i ).
thf(func_def_957,type,
sK766: $i > $o ).
thf(func_def_958,type,
sK767: $i > $i ).
thf(func_def_964,type,
sK773: $i > $o ).
thf(func_def_974,type,
sK783: $i > $i ).
thf(func_def_976,type,
sK785: ( $i > $o ) > $i > ( $i > $o ) > $i > $i ).
thf(func_def_977,type,
sK786: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_980,type,
sK789: $i > $o ).
thf(func_def_981,type,
sK790: $i > $o ).
thf(func_def_984,type,
sK793: $i > $o ).
thf(func_def_995,type,
sK804: ( $i > $o ) > $i > $i ).
thf(func_def_996,type,
sK805: $i > $o ).
thf(func_def_1006,type,
sK815: $i > $i > $i ).
thf(func_def_1020,type,
sK829: $i > $i > $i ).
thf(func_def_1023,type,
sK832: ( $i > $o ) > $i ).
thf(func_def_1024,type,
sK833: $i > $o ).
thf(func_def_1025,type,
sK834: $i > $i ).
thf(func_def_1035,type,
sK844: $i > $i > $i ).
thf(func_def_1049,type,
ph858:
!>[X0: $tType] : X0 ).
thf(func_def_1050,type,
sK859: ( $i > $o ) > $i > $i ).
thf(func_def_1051,type,
sK860: ( $i > $o ) > $i ).
thf(func_def_1052,type,
sK861: $i > $i ).
thf(func_def_1053,type,
sK862: $i > $i ).
thf(func_def_1054,type,
sK863: $i > $i > $i ).
thf(func_def_1055,type,
sK864: $i > $i > $i ).
thf(func_def_1056,type,
sK865: $i > $i > $i ).
thf(func_def_1057,type,
sK866: $i > $i > $i ).
thf(func_def_1058,type,
sK867: $i > $i > $i ).
thf(func_def_1059,type,
sK868: $i > $i > $i ).
thf(func_def_1060,type,
sK869: $i > $i > $i ).
thf(func_def_1061,type,
sK870: $i > $i > $i ).
thf(func_def_1062,type,
sK871: $i > $i > $i ).
thf(func_def_1063,type,
sK872: $i > $i > $i ).
thf(func_def_1064,type,
sK873: $i > $i > $i ).
thf(func_def_1065,type,
sK874: $i > $i > $i ).
thf(func_def_1066,type,
sK875: $i > $i > $i ).
thf(func_def_1067,type,
sK876: $i > $i > $i ).
thf(func_def_1068,type,
sK877: $i > $i > $i ).
thf(func_def_1069,type,
sK878: $i > $i > $i ).
thf(func_def_1070,type,
sK879: $i > $i ).
thf(func_def_1071,type,
sK880: $i > $i ).
thf(func_def_1072,type,
sK881: $i > $i > $i ).
thf(func_def_1073,type,
sK882: $i > $i > $i ).
thf(func_def_1074,type,
sK883: $i > $i > $i ).
thf(func_def_1075,type,
sK884: $i > $i > $i ).
thf(func_def_1076,type,
sK885: $i > $i ).
thf(func_def_1077,type,
sK886: $i > $i ).
thf(func_def_1078,type,
sK887: $i > $i > $i ).
thf(func_def_1079,type,
sK888: $i > $i > $i ).
thf(func_def_1080,type,
sK889: $i > $i > $i ).
thf(func_def_1081,type,
sK890: $i > $i > $i ).
thf(func_def_1082,type,
sK891: $i > $i > $i ).
thf(func_def_1083,type,
sK892: $i > $i > $i ).
thf(func_def_1084,type,
sK893: $i > $i > $i ).
thf(func_def_1085,type,
sK894: $i > $i > $i ).
thf(func_def_1086,type,
sK895: $i > $i > $i ).
thf(func_def_1087,type,
sK896: $i > $i ).
thf(func_def_1088,type,
sK897: $i > $i ).
thf(func_def_1089,type,
sK898: $i > $i > $i ).
thf(func_def_1090,type,
sK899: $i > $i > $i ).
thf(func_def_1091,type,
sK900: $i > $i > $i ).
thf(func_def_1092,type,
sK901: $i > $i ).
thf(func_def_1093,type,
sK902: $i > $i > $i ).
thf(func_def_1094,type,
sK903: $i > $i > $i ).
thf(func_def_1095,type,
sK904: $i > $i > $i ).
thf(func_def_1096,type,
sK905: $i > $i ).
thf(func_def_1097,type,
sK906: $i > $i ).
thf(func_def_1098,type,
sK907: $i > $i ).
thf(func_def_1099,type,
sK908: $i > $i > $i ).
thf(func_def_1100,type,
sK909: $i > $i ).
thf(func_def_1101,type,
sK910: $i > $i > $i ).
thf(func_def_1102,type,
sK911: $i > $i > $i ).
thf(func_def_1103,type,
sK912: $i > $i > $i ).
thf(func_def_1105,type,
sK914: $i > $i > $i ).
thf(func_def_1106,type,
sK915: $i > $i > $i ).
thf(func_def_1107,type,
sK916: $i > $i > $i ).
thf(func_def_1108,type,
sK917: $i > $i > $i ).
thf(func_def_1110,type,
sK919: $i > $i > $i ).
thf(func_def_1111,type,
sK920: $i > $i > $i ).
thf(func_def_1113,type,
sK922: $i > $i > $i ).
thf(func_def_1114,type,
sK923: $i > $i > $i ).
thf(func_def_1115,type,
sK924: $i > $i > $i ).
thf(f40534,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f6778,f6862,f7048,f7130,f7558,f7580,f7736,f8045,f8526,f8596,f8656,f8683,f8891,f8928,f8929,f9061,f9236,f12653,f12768,f13389,f13468,f13776,f15113,f15474,f15634,f40357,f40439,f40527]) ).
thf(f40527,plain,
( ( notinsingleton != $false )
| ( notinsingleton != $true )
| ( omegaSAx != $true )
| ( omegaSAx = $false ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f40439,plain,
( ( powersetAx != $false )
| ( powersetAx != $true )
| ( omegaSAx != $true )
| ( omegaSAx = $false ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f40357,plain,
( ~ spl3_64
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(avatar_contradiction_clause,[status(thm)],[f40356]) ).
thf(f40356,plain,
( $false
| ~ spl3_64
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(trivial_inequality_removal,[status(thm)],[f40355]) ).
thf(f40355,plain,
( ( $false = $true )
| ~ spl3_64
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(forward_demodulation,[status(thm)],[f40328,f34104]) ).
thf(f34104,plain,
( ( ( in @ sK913 @ sK0 )
= $false )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(binary_proxy_clausification,[status(thm)],[f34103]) ).
thf(f34103,plain,
( ( $false
= ( ( in @ sK913 @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) )
=> ( in @ sK913 @ sK0 ) ) )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(beta_eta_normalization,[status(thm)],[f34102]) ).
thf(f34102,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) )
=> ( in @ Y0 @ sK0 ) )
@ sK913 ) )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(sigma_clausification,[status(thm)],[f34101]) ).
thf(f34101,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) )
=> ( in @ Y0 @ sK0 ) ) ) )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(not_proxy_clausification,[status(thm)],[f34100]) ).
thf(f34100,plain,
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) )
=> ( in @ Y0 @ sK0 ) ) ) ) )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(boolean_simplification,[status(thm)],[f34083]) ).
thf(f34083,plain,
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) )
=> ( in @ Y0 @ sK0 ) ) )
= $false ) )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(superposition,[status(thm)],[f7554,f34063]) ).
thf(f34063,plain,
( ( $false
= ( in @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ ( powerset @ sK0 ) ) )
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(equality_resolution,[status(thm)],[f33910]) ).
thf(f33910,plain,
( ! [X0: $i] :
( ( sK0 != X0 )
| ( $false
= ( in @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ ( powerset @ X0 ) ) ) )
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(trivial_inequality_removal,[status(thm)],[f33769]) ).
thf(f33769,plain,
( ! [X0: $i] :
( ( $false
= ( in @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ ( powerset @ X0 ) ) )
| ( sK0 != X0 )
| ( $false = $true ) )
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(superposition,[status(thm)],[f17187,f15400]) ).
thf(f15400,plain,
( ( $false
= ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) )
| ~ spl3_1544 ),
inference(avatar_component_clause,[status(thm)],[f15399]) ).
thf(f15399,definition,
( spl3_1544
<=> ( $false
= ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) ) ),
introduced(definition,[new_symbols(naming,[spl3_1544])],[avatar_definition]) ).
thf(f17187,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( subset @ X2 @ X0 ) )
| ( $false
= ( in @ X2 @ ( powerset @ X1 ) ) )
| ( X0 != X1 ) )
| ~ spl3_298
| ~ spl3_520 ),
inference(superposition,[status(thm)],[f8595,f7735]) ).
thf(f7735,plain,
( ! [X2: $i,X1: $i] :
( ( ( powerset @ X1 )
= ( powerset @ X2 ) )
| ( X1 != X2 ) )
| ~ spl3_298 ),
inference(avatar_component_clause,[status(thm)],[f7734]) ).
thf(f7734,definition,
( spl3_298
<=> ! [X2: $i,X1: $i] :
( ( ( powerset @ X1 )
= ( powerset @ X2 ) )
| ( X1 != X2 ) ) ),
introduced(definition,[new_symbols(naming,[spl3_298])],[avatar_definition]) ).
thf(f8595,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( subset @ X1 @ X2 ) ) )
| ~ spl3_520 ),
inference(avatar_component_clause,[status(thm)],[f8594]) ).
thf(f8594,definition,
( spl3_520
<=> ! [X2: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( $true
= ( subset @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl3_520])],[avatar_definition]) ).
thf(f7554,plain,
( ! [X2: $i,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) ) )
= ( in @ X2 @ ( powerset @ X1 ) ) ) )
| ~ spl3_250 ),
inference(avatar_component_clause,[status(thm)],[f7553]) ).
thf(f7553,definition,
( spl3_250
<=> ! [X2: $i,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) ) )
= ( in @ X2 @ ( powerset @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl3_250])],[avatar_definition]) ).
thf(f40328,plain,
( ( ( in @ sK913 @ sK0 )
= $true )
| ~ spl3_64
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(backward_demodulation,[status(thm)],[f36197,f40264]) ).
thf(f40264,plain,
( ( sK918 = sK0 )
| ~ spl3_64
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(trivial_inequality_removal,[status(thm)],[f40232]) ).
thf(f40232,plain,
( ( sK918 = sK0 )
| ( $false = $true )
| ~ spl3_64
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(superposition,[status(thm)],[f6861,f36196]) ).
thf(f36196,plain,
( ( ( in @ sK918 @ ( setadjoin @ sK0 @ emptyset ) )
= $true )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(binary_proxy_clausification,[status(thm)],[f36195]) ).
thf(f36195,plain,
( ( ( ( in @ sK913 @ sK918 )
& ( in @ sK918 @ ( setadjoin @ sK0 @ emptyset ) ) )
= $true )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(beta_eta_normalization,[status(thm)],[f36194]) ).
thf(f36194,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( in @ sK913 @ Y0 )
& ( in @ Y0 @ ( setadjoin @ sK0 @ emptyset ) ) )
@ sK918 ) )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(sigma_clausification,[status(thm)],[f36193]) ).
thf(f36193,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ sK913 @ Y0 )
& ( in @ Y0 @ ( setadjoin @ sK0 @ emptyset ) ) ) ) )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(boolean_simplification,[status(thm)],[f36121]) ).
thf(f36121,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ sK913 @ Y0 )
& ( in @ Y0 @ ( setadjoin @ sK0 @ emptyset ) ) ) )
= $true )
= $true )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(superposition,[status(thm)],[f8655,f34105]) ).
thf(f34105,plain,
( ( ( in @ sK913 @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) )
= $true )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_1544 ),
inference(binary_proxy_clausification,[status(thm)],[f34103]) ).
thf(f8655,plain,
( ! [X2: $i,X1: $i] :
( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ X2 @ Y0 )
& ( in @ Y0 @ X1 ) ) )
= ( in @ X2 @ ( setunion @ X1 ) ) ) )
| ~ spl3_536 ),
inference(avatar_component_clause,[status(thm)],[f8654]) ).
thf(f8654,definition,
( spl3_536
<=> ! [X2: $i,X1: $i] :
( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ X2 @ Y0 )
& ( in @ Y0 @ X1 ) ) )
= ( in @ X2 @ ( setunion @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl3_536])],[avatar_definition]) ).
thf(f6861,plain,
( ! [X2: $i,X1: $i] :
( ( ( in @ X1 @ ( setadjoin @ X2 @ emptyset ) )
= $false )
| ( X1 = X2 ) )
| ~ spl3_64 ),
inference(avatar_component_clause,[status(thm)],[f6860]) ).
thf(f6860,definition,
( spl3_64
<=> ! [X2: $i,X1: $i] :
( ( ( in @ X1 @ ( setadjoin @ X2 @ emptyset ) )
= $false )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(naming,[spl3_64])],[avatar_definition]) ).
thf(f36197,plain,
( ( $true
= ( in @ sK913 @ sK918 ) )
| ~ spl3_250
| ~ spl3_298
| ~ spl3_520
| ~ spl3_536
| ~ spl3_1544 ),
inference(binary_proxy_clausification,[status(thm)],[f36195]) ).
thf(f15634,plain,
( spl3_1544
| ~ spl3_114
| ~ spl3_156
| ~ spl3_639 ),
inference(avatar_split_clause,[status(thm)],[f15630,f9059,f7201,f7046,f15399]) ).
thf(f7046,definition,
( spl3_114
<=> ( $false
= ( sP2 @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl3_114])],[avatar_definition]) ).
thf(f7201,definition,
( spl3_156
<=> ! [X4: $o] :
( ( $true = X4 )
| ( $false = X4 ) ) ),
introduced(definition,[new_symbols(naming,[spl3_156])],[avatar_definition]) ).
thf(f9059,definition,
( spl3_639
<=> ( $true
= ( sP2 @ ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl3_639])],[avatar_definition]) ).
thf(f15630,plain,
( ( $false
= ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) )
| ~ spl3_114
| ~ spl3_156
| ~ spl3_639 ),
inference(trivial_inequality_removal,[status(thm)],[f15627]) ).
thf(f15627,plain,
( ( $false
= ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) )
| ( $false = $true )
| ~ spl3_114
| ~ spl3_156
| ~ spl3_639 ),
inference(superposition,[status(thm)],[f15374,f9060]) ).
thf(f9060,plain,
( ( $true
= ( sP2 @ ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) ) )
| ~ spl3_639 ),
inference(avatar_component_clause,[status(thm)],[f9059]) ).
thf(f15374,plain,
( ! [X0: $o] :
( ( $false
= ( sP2 @ X0 ) )
| ( $false = X0 ) )
| ~ spl3_114
| ~ spl3_156 ),
inference(superposition,[status(thm)],[f7047,f7202]) ).
thf(f7202,plain,
( ! [X4: $o] :
( ( $true = X4 )
| ( $false = X4 ) )
| ~ spl3_156 ),
inference(avatar_component_clause,[status(thm)],[f7201]) ).
thf(f7047,plain,
( ( $false
= ( sP2 @ $true ) )
| ~ spl3_114 ),
inference(avatar_component_clause,[status(thm)],[f7046]) ).
thf(f15474,plain,
( ( prop2setI != $false )
| ( prop2setI != $true )
| ( omegaSAx != $true )
| ( omegaSAx = $false ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f15113,plain,
( spl3_156
| ~ spl3_379
| ~ spl3_606 ),
inference(avatar_split_clause,[status(thm)],[f15108,f8926,f8040,f7201]) ).
thf(f8040,definition,
( spl3_379
<=> ! [X1: $o] :
( ( $false = X1 )
| ( $true
= ( in @ emptyset @ ( prop2set @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl3_379])],[avatar_definition]) ).
thf(f8926,definition,
( spl3_606
<=> ! [X2: $i,X1: $o] :
( ( $true = X1 )
| ( $false
= ( in @ X2 @ ( prop2set @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl3_606])],[avatar_definition]) ).
thf(f15108,plain,
( ! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) )
| ~ spl3_379
| ~ spl3_606 ),
inference(trivial_inequality_removal,[status(thm)],[f15106]) ).
thf(f15106,plain,
( ! [X0: $o] :
( ( $false = X0 )
| ( $false = $true )
| ( $true = X0 ) )
| ~ spl3_379
| ~ spl3_606 ),
inference(superposition,[status(thm)],[f8041,f8927]) ).
thf(f8927,plain,
( ! [X2: $i,X1: $o] :
( ( $false
= ( in @ X2 @ ( prop2set @ X1 ) ) )
| ( $true = X1 ) )
| ~ spl3_606 ),
inference(avatar_component_clause,[status(thm)],[f8926]) ).
thf(f8041,plain,
( ! [X1: $o] :
( ( $true
= ( in @ emptyset @ ( prop2set @ X1 ) ) )
| ( $false = X1 ) )
| ~ spl3_379 ),
inference(avatar_component_clause,[status(thm)],[f8040]) ).
thf(f13776,plain,
( ( prop2setE != $false )
| ( prop2setE != $true )
| ( omegaSAx != $true )
| ( omegaSAx = $false ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f13468,plain,
( ( setunionAx != $false )
| ( setunionAx != $true )
| ( omegaSAx != $true )
| ( omegaSAx = $false ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f13389,plain,
( ( powersetE1 != $false )
| ( powersetE1 != $true )
| ( omegaSAx != $true )
| ( omegaSAx = $false ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f12768,plain,
( ( powerset__Cong != $false )
| ( powerset__Cong != $true )
| ( omegaSAx != $true )
| ( omegaSAx = $false ) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
thf(f12653,plain,
( ~ spl3_41
| ~ spl3_111 ),
inference(avatar_contradiction_clause,[status(thm)],[f12652]) ).
thf(f12652,plain,
( $false
| ~ spl3_41
| ~ spl3_111 ),
inference(trivial_inequality_removal,[status(thm)],[f12651]) ).
thf(f12651,plain,
( ( $false = $true )
| ~ spl3_41
| ~ spl3_111 ),
inference(backward_demodulation,[status(thm)],[f6777,f7036]) ).
thf(f7036,plain,
( ( omegaSAx = $false )
| ~ spl3_111 ),
inference(avatar_component_clause,[status(thm)],[f7035]) ).
thf(f7035,definition,
( spl3_111
<=> ( omegaSAx = $false ) ),
introduced(definition,[new_symbols(naming,[spl3_111])],[avatar_definition]) ).
thf(f6777,plain,
( ( omegaSAx = $true )
| ~ spl3_41 ),
inference(avatar_component_clause,[status(thm)],[f6776]) ).
thf(f6776,definition,
( spl3_41
<=> ( omegaSAx = $true ) ),
introduced(definition,[new_symbols(naming,[spl3_41])],[avatar_definition]) ).
thf(f9236,plain,
spl3_602,
inference(avatar_split_clause,[status(thm)],[f763,f8912]) ).
thf(f8912,definition,
( spl3_602
<=> ( prop2setE = $true ) ),
introduced(definition,[new_symbols(naming,[spl3_602])],[avatar_definition]) ).
thf(f763,plain,
prop2setE = $true,
inference(cnf_transformation,[status(thm)],[f465]) ).
thf(f465,plain,
( ( uniqinunit = $true )
& ( setadjoinSub2 = $true )
& ( subsetE2 = $true )
& ( notinemptyset = $true )
& ( setadjoinIL = $true )
& ( exuI2 = $true )
& ( prop2setE = $true )
& ( replAx = $true )
& ( kpairiskpair = $true )
& ( cartprodpairin = $true )
& ( upairinpowunion = $true )
& ( binunionLsub = $true )
& ( setadjoinE = $true )
& ( emptysetAx = $true )
& ( singletonsubset = $true )
& ( ubforcartprodlem1 = $true )
& ( emptyinunitempty = $true )
& ( setminusSubset1 = $true )
& ( nonemptyE1 = $true )
& ( upairsetIR = $true )
& ( omega__Cong = $true )
& ( sepSubset = $true )
& ( singletonsswitch = $true )
& ( subsetI2 = $true )
& ( setukpairIL = $true )
& ( binintersectSubset4 = $true )
& ( powersetAx = $true )
& ( eqinunit = $true )
& ( setadjoinSub = $true )
& ( setminusILneg = $true )
& ( ubforcartprodlem3 = $true )
& ( symdiffIneg2 = $true )
& ( notequalI2 = $true )
& ( wellorderingAx = $true )
& ( symdiffE = $true )
& ( powersetE1 = $true )
& ( disjointsetsI1 = $true )
& ( upairsetIL = $true )
& ( powerset__Cong = $true )
& ( binunionRsub = $true )
& ( ubforcartprodlem2 = $true )
& ( quantDeMorgan3 = $true )
& ( emptyE1 = $true )
& ( noeltsimpempty = $true )
& ( binunionEcases = $true )
& ( setadjoinAx = $true )
& ( emptysetimpfalse = $true )
& ( notdallE = $true )
& ( inCongP = $true )
& ( emptyI = $true )
& ( exuI3 = $true )
& ( cartprodmempair = $true )
& ( exuE3e = $true )
& ( emptysetsubset = $true )
& ( binunionE = $true )
& ( upairset2IR = $true )
& ( exuEu = $true )
& ( notequalI1 = $true )
& ( emptyInPowerset = $true )
& ( dsetconstr__Cong = $true )
& ( binintersectRsub = $true )
& ( prop2set2propI = $true )
& ( omega0Ax = $true )
& ( symdiffI2 = $true )
& ( inPowerset = $true )
& ( binintersectEL = $true )
& ( subset2powerset = $true )
& ( setminusIRneg = $true )
& ( nonemptyI1 = $true )
& ( binunionIL = $true )
& ( setadjoin__Cong = $true )
& ( $true
!= ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) )
& ( exuE2 = $true )
& ( dsetconstrI = $true )
& ( subsetRefl = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinIR = $true )
& ( setminusSubset2 = $true )
& ( setminusELneg = $true )
& ( notdexE = $true )
& ( nonemptyI = $true )
& ( setukpairIR = $true )
& ( symdiffI1 = $true )
& ( setminusER = $true )
& ( exu__Cong = $true )
& ( powersetI1 = $true )
& ( descr__Cong = $true )
& ( eqimpsubset1 = $true )
& ( binunionIR = $true )
& ( sepInPowerset = $true )
& ( binintersectI = $true )
& ( eqimpsubset2 = $true )
& ( kpairp = $true )
& ( emptyinPowerset = $true )
& ( exuE3u = $true )
& ( binintersectLsub = $true )
& ( powersetE = $true )
& ( subsetTrans = $true )
& ( setunionAx = $true )
& ( setunion__Cong = $true )
& ( notinsingleton = $true )
& ( vacuousDall = $true )
& ( emptyset__Cong = $true )
& ( omegaIndAx = $true )
& ( setunionE2 = $true )
& ( subPowSU = $true )
& ( upairsubunion = $true )
& ( notsubsetI = $true )
& ( omegaSAx = $true )
& ( setunionI = $true )
& ( symdiffIneg1 = $true )
& ( binintersectSubset2 = $true )
& ( bs114d = $true )
& ( setoftrueEq = $true )
& ( descrp = $true )
& ( setextsub = $true )
& ( in__Cong = $true )
& ( singletoninpowunion = $true )
& ( setext = $true )
& ( foundationAx = $true )
& ( binintersectSubset1 = $true )
& ( setminusERneg = $true )
& ( prop2setI = $true )
& ( upairsetE = $true )
& ( binintersectSubset3 = $true )
& ( quantDeMorgan2 = $true )
& ( setminusI = $true )
& ( quantDeMorgan1 = $true )
& ( binintersectER = $true )
& ( dsetconstrER = $true )
& ( emptysetE = $true )
& ( powersetI = $true )
& ( upairset2E = $true )
& ( setextAx = $true )
& ( setminusLsub = $true )
& ( singletoninpowerset = $true )
& ( secondinupair = $true )
& ( exuE1 = $true )
& ( subsetemptysetimpeq = $true )
& ( dsetconstrEL = $true )
& ( subsetE = $true )
& ( setbeta = $true )
& ( nonemptyImpWitness = $true )
& ( setminusEL = $true )
& ( setadjoinOr = $true )
& ( setunionE = $true )
& ( cartprodmempair1 = $true )
& ( powersetsubset = $true )
& ( subsetI1 = $true )
& ( quantDeMorgan4 = $true )
& ( exuI1 = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f463,f464]) ).
thf(f464,plain,
( ? [X0: $i] :
( $true
!= ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 ) )
=> ( $true
!= ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f463,plain,
( ( uniqinunit = $true )
& ( setadjoinSub2 = $true )
& ( subsetE2 = $true )
& ( notinemptyset = $true )
& ( setadjoinIL = $true )
& ( exuI2 = $true )
& ( prop2setE = $true )
& ( replAx = $true )
& ( kpairiskpair = $true )
& ( cartprodpairin = $true )
& ( upairinpowunion = $true )
& ( binunionLsub = $true )
& ( setadjoinE = $true )
& ( emptysetAx = $true )
& ( singletonsubset = $true )
& ( ubforcartprodlem1 = $true )
& ( emptyinunitempty = $true )
& ( setminusSubset1 = $true )
& ( nonemptyE1 = $true )
& ( upairsetIR = $true )
& ( omega__Cong = $true )
& ( sepSubset = $true )
& ( singletonsswitch = $true )
& ( subsetI2 = $true )
& ( setukpairIL = $true )
& ( binintersectSubset4 = $true )
& ( powersetAx = $true )
& ( eqinunit = $true )
& ( setadjoinSub = $true )
& ( setminusILneg = $true )
& ( ubforcartprodlem3 = $true )
& ( symdiffIneg2 = $true )
& ( notequalI2 = $true )
& ( wellorderingAx = $true )
& ( symdiffE = $true )
& ( powersetE1 = $true )
& ( disjointsetsI1 = $true )
& ( upairsetIL = $true )
& ( powerset__Cong = $true )
& ( binunionRsub = $true )
& ( ubforcartprodlem2 = $true )
& ( quantDeMorgan3 = $true )
& ( emptyE1 = $true )
& ( noeltsimpempty = $true )
& ( binunionEcases = $true )
& ( setadjoinAx = $true )
& ( emptysetimpfalse = $true )
& ( notdallE = $true )
& ( inCongP = $true )
& ( emptyI = $true )
& ( exuI3 = $true )
& ( cartprodmempair = $true )
& ( exuE3e = $true )
& ( emptysetsubset = $true )
& ( binunionE = $true )
& ( upairset2IR = $true )
& ( exuEu = $true )
& ( notequalI1 = $true )
& ( emptyInPowerset = $true )
& ( dsetconstr__Cong = $true )
& ( binintersectRsub = $true )
& ( prop2set2propI = $true )
& ( omega0Ax = $true )
& ( symdiffI2 = $true )
& ( inPowerset = $true )
& ( binintersectEL = $true )
& ( subset2powerset = $true )
& ( setminusIRneg = $true )
& ( nonemptyI1 = $true )
& ( binunionIL = $true )
& ( setadjoin__Cong = $true )
& ? [X0: $i] :
( $true
!= ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 ) )
& ( exuE2 = $true )
& ( dsetconstrI = $true )
& ( subsetRefl = $true )
& ( binintersectSubset5 = $true )
& ( setadjoinIR = $true )
& ( setminusSubset2 = $true )
& ( setminusELneg = $true )
& ( notdexE = $true )
& ( nonemptyI = $true )
& ( setukpairIR = $true )
& ( symdiffI1 = $true )
& ( setminusER = $true )
& ( exu__Cong = $true )
& ( powersetI1 = $true )
& ( descr__Cong = $true )
& ( eqimpsubset1 = $true )
& ( binunionIR = $true )
& ( sepInPowerset = $true )
& ( binintersectI = $true )
& ( eqimpsubset2 = $true )
& ( kpairp = $true )
& ( emptyinPowerset = $true )
& ( exuE3u = $true )
& ( binintersectLsub = $true )
& ( powersetE = $true )
& ( subsetTrans = $true )
& ( setunionAx = $true )
& ( setunion__Cong = $true )
& ( notinsingleton = $true )
& ( vacuousDall = $true )
& ( emptyset__Cong = $true )
& ( omegaIndAx = $true )
& ( setunionE2 = $true )
& ( subPowSU = $true )
& ( upairsubunion = $true )
& ( notsubsetI = $true )
& ( omegaSAx = $true )
& ( setunionI = $true )
& ( symdiffIneg1 = $true )
& ( binintersectSubset2 = $true )
& ( bs114d = $true )
& ( setoftrueEq = $true )
& ( descrp = $true )
& ( setextsub = $true )
& ( in__Cong = $true )
& ( singletoninpowunion = $true )
& ( setext = $true )
& ( foundationAx = $true )
& ( binintersectSubset1 = $true )
& ( setminusERneg = $true )
& ( prop2setI = $true )
& ( upairsetE = $true )
& ( binintersectSubset3 = $true )
& ( quantDeMorgan2 = $true )
& ( setminusI = $true )
& ( quantDeMorgan1 = $true )
& ( binintersectER = $true )
& ( dsetconstrER = $true )
& ( emptysetE = $true )
& ( powersetI = $true )
& ( upairset2E = $true )
& ( setextAx = $true )
& ( setminusLsub = $true )
& ( singletoninpowerset = $true )
& ( secondinupair = $true )
& ( exuE1 = $true )
& ( subsetemptysetimpeq = $true )
& ( dsetconstrEL = $true )
& ( subsetE = $true )
& ( setbeta = $true )
& ( nonemptyImpWitness = $true )
& ( setminusEL = $true )
& ( setadjoinOr = $true )
& ( setunionE = $true )
& ( cartprodmempair1 = $true )
& ( powersetsubset = $true )
& ( subsetI1 = $true )
& ( quantDeMorgan4 = $true )
& ( exuI1 = $true ) ),
inference(flattening,[status(thm)],[f462]) ).
thf(f462,plain,
( ? [X0: $i] :
( $true
!= ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 ) )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[status(thm)],[f409]) ).
thf(f409,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ! [X0: $i] :
( $true
= ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f408]) ).
thf(f408,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ! [X0: $i] : ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f156]) ).
thf(f156,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ! [X3: $i] : ( subset @ ( setunion @ ( setadjoin @ X3 @ emptyset ) ) @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f155]) ).
thf(f155,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ! [X3: $i] : ( subset @ ( setunion @ ( setadjoin @ X3 @ emptyset ) ) @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',setunionsingleton1) ).
thf(f9061,plain,
spl3_639,
inference(avatar_split_clause,[status(thm)],[f774,f9059]) ).
thf(f774,plain,
( $true
= ( sP2 @ ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) ) ),
inference(inequality_splitting,[status(thm)],[f698,f773]) ).
thf(f773,plain,
( $false
= ( sP2 @ $true ) ),
introduced(definition,[new_symbols(naming,[sP2])],[inequality_splitting_name_introduction]) ).
thf(f698,plain,
( $true
!= ( subset @ ( setunion @ ( setadjoin @ sK0 @ emptyset ) ) @ sK0 ) ),
inference(cnf_transformation,[status(thm)],[f465]) ).
thf(f8929,plain,
spl3_517,
inference(avatar_split_clause,[status(thm)],[f734,f8583]) ).
thf(f8583,definition,
( spl3_517
<=> ( powersetE1 = $true ) ),
introduced(definition,[new_symbols(naming,[spl3_517])],[avatar_definition]) ).
thf(f734,plain,
powersetE1 = $true,
inference(cnf_transformation,[status(thm)],[f465]) ).
thf(f8928,plain,
( spl3_605
| spl3_606 ),
inference(avatar_split_clause,[status(thm)],[f4674,f8926,f8923]) ).
thf(f8923,definition,
( spl3_605
<=> ( prop2setE = $false ) ),
introduced(definition,[new_symbols(naming,[spl3_605])],[avatar_definition]) ).
thf(f4674,plain,
! [X2: $i,X1: $o] :
( ( $true = X1 )
| ( prop2setE = $false )
| ( $false
= ( in @ X2 @ ( prop2set @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f4673]) ).
thf(f4673,plain,
! [X2: $i,X1: $o] :
( ( prop2setE = $false )
| ( ( ( in @ X2 @ ( prop2set @ X1 ) )
=> X1 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f4672]) ).
thf(f4672,plain,
! [X2: $i,X1: $o] :
( ( prop2setE = $false )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ ( prop2set @ X1 ) )
=> X1 )
@ X2 ) ) ),
inference(pi_clausification,[status(thm)],[f4671]) ).
thf(f4671,plain,
! [X1: $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( prop2set @ X1 ) )
=> X1 ) )
= $true )
| ( prop2setE = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f4670]) ).
thf(f4670,plain,
! [X1: $o] :
( ( prop2setE = $false )
| ( $true
= ( ^ [Y0: $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( prop2set @ Y0 ) )
=> Y0 ) )
@ X1 ) ) ),
inference(pi_clausification,[status(thm)],[f4669]) ).
thf(f4669,plain,
( ( prop2setE = $false )
| ( $true
= ( !! @ $o
@ ^ [Y0: $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( prop2set @ Y0 ) )
=> Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f558]) ).
thf(f558,plain,
( prop2setE
= ( !! @ $o
@ ^ [Y0: $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( prop2set @ Y0 ) )
=> Y0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f318]) ).
thf(f318,plain,
( prop2setE
= ( !! @ $o
@ ^ [Y0: $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( prop2set @ Y0 ) )
=> Y0 ) ) ) ),
inference(fool_elimination,[status(thm)],[f317]) ).
thf(f317,plain,
! [X0: $i,X1: $o] :
( ( ( in @ X0 @ ( prop2set @ X1 ) )
=> X1 )
= prop2setE ),
inference(rectify,[status(thm)],[f18]) ).
thf(f18,axiom,
! [X1: $i,X0: $o] :
( ( ( in @ X1 @ ( prop2set @ X0 ) )
=> X0 )
= prop2setE ),
file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',prop2setE) ).
thf(f8891,plain,
spl3_249,
inference(avatar_split_clause,[status(thm)],[f743,f7549]) ).
thf(f7549,definition,
( spl3_249
<=> ( powersetAx = $true ) ),
introduced(definition,[new_symbols(naming,[spl3_249])],[avatar_definition]) ).
thf(f743,plain,
powersetAx = $true,
inference(cnf_transformation,[status(thm)],[f465]) ).
thf(f8683,plain,
spl3_377,
inference(avatar_split_clause,[status(thm)],[f647,f8032]) ).
thf(f8032,definition,
( spl3_377
<=> ( prop2setI = $true ) ),
introduced(definition,[new_symbols(naming,[spl3_377])],[avatar_definition]) ).
thf(f647,plain,
prop2setI = $true,
inference(cnf_transformation,[status(thm)],[f465]) ).
thf(f8656,plain,
( spl3_535
| spl3_536 ),
inference(avatar_split_clause,[status(thm)],[f4941,f8654,f8651]) ).
thf(f8651,definition,
( spl3_535
<=> ( setunionAx = $false ) ),
introduced(definition,[new_symbols(naming,[spl3_535])],[avatar_definition]) ).
thf(f4941,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ X2 @ Y0 )
& ( in @ Y0 @ X1 ) ) )
= ( in @ X2 @ ( setunion @ X1 ) ) ) )
| ( setunionAx = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f4940]) ).
thf(f4940,plain,
! [X2: $i,X1: $i] :
( ( setunionAx = $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ Y1 )
& ( in @ Y1 @ X1 ) ) )
= ( in @ Y0 @ ( setunion @ X1 ) ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f4939]) ).
thf(f4939,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ Y1 )
& ( in @ Y1 @ X1 ) ) )
= ( in @ Y0 @ ( setunion @ X1 ) ) ) ) )
| ( setunionAx = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f4938]) ).
thf(f4938,plain,
! [X1: $i] :
( ( setunionAx = $false )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) )
= ( in @ Y1 @ ( setunion @ Y0 ) ) ) )
@ X1 ) ) ),
inference(pi_clausification,[status(thm)],[f4937]) ).
thf(f4937,plain,
( ( setunionAx = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) )
= ( in @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f615]) ).
thf(f615,plain,
( setunionAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) )
= ( in @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f294]) ).
thf(f294,plain,
( setunionAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y2 )
& ( in @ Y2 @ Y0 ) ) )
= ( in @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f293]) ).
thf(f293,plain,
( setunionAx
= ( ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( in @ X2 @ X1 )
& ( in @ X0 @ X2 ) )
<=> ( in @ X0 @ ( setunion @ X1 ) ) ) ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,axiom,
( setunionAx
= ( ! [X1: $i,X3: $i] :
( ? [X4: $i] :
( ( in @ X4 @ X3 )
& ( in @ X1 @ X4 ) )
<=> ( in @ X1 @ ( setunion @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',setunionAx) ).
thf(f8596,plain,
( spl3_519
| spl3_520 ),
inference(avatar_split_clause,[status(thm)],[f5000,f8594,f8591]) ).
thf(f8591,definition,
( spl3_519
<=> ( powersetE1 = $false ) ),
introduced(definition,[new_symbols(naming,[spl3_519])],[avatar_definition]) ).
thf(f5000,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( powerset @ X2 ) ) )
| ( powersetE1 = $false )
| ( $true
= ( subset @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f4999]) ).
thf(f4999,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( in @ X1 @ ( powerset @ X2 ) )
=> ( subset @ X1 @ X2 ) ) )
| ( powersetE1 = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f4998]) ).
thf(f4998,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
=> ( subset @ X1 @ Y0 ) )
@ X2 ) )
| ( powersetE1 = $false ) ),
inference(pi_clausification,[status(thm)],[f4997]) ).
thf(f4997,plain,
! [X1: $i] :
( ( powersetE1 = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
=> ( subset @ X1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f4996]) ).
thf(f4996,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ Y0 @ Y1 ) ) )
@ X1 ) )
| ( powersetE1 = $false ) ),
inference(pi_clausification,[status(thm)],[f4995]) ).
thf(f4995,plain,
( ( powersetE1 = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ Y0 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f524]) ).
thf(f524,plain,
( powersetE1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f262]) ).
thf(f262,plain,
( powersetE1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
=> ( subset @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f261]) ).
thf(f261,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ X1 @ X0 ) )
= powersetE1 ),
inference(rectify,[status(thm)],[f96]) ).
thf(f96,axiom,
! [X3: $i,X4: $i] :
( ( ( in @ X4 @ ( powerset @ X3 ) )
=> ( subset @ X4 @ X3 ) )
= powersetE1 ),
file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',powersetE1) ).
thf(f8526,plain,
spl3_60,
inference(avatar_split_clause,[status(thm)],[f669,f6846]) ).
thf(f6846,definition,
( spl3_60
<=> ( notinsingleton = $true ) ),
introduced(definition,[new_symbols(naming,[spl3_60])],[avatar_definition]) ).
thf(f669,plain,
notinsingleton = $true,
inference(cnf_transformation,[status(thm)],[f465]) ).
thf(f8045,plain,
( spl3_379
| spl3_380 ),
inference(avatar_split_clause,[status(thm)],[f5454,f8043,f8040]) ).
thf(f8043,definition,
( spl3_380
<=> ( prop2setI = $false ) ),
introduced(definition,[new_symbols(naming,[spl3_380])],[avatar_definition]) ).
thf(f5454,plain,
! [X1: $o] :
( ( $false = X1 )
| ( $true
= ( in @ emptyset @ ( prop2set @ X1 ) ) )
| ( prop2setI = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f5453]) ).
thf(f5453,plain,
! [X1: $o] :
( ( prop2setI = $false )
| ( $true
= ( X1
=> ( in @ emptyset @ ( prop2set @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f5452]) ).
thf(f5452,plain,
! [X1: $o] :
( ( $true
= ( ^ [Y0: $o] :
( Y0
=> ( in @ emptyset @ ( prop2set @ Y0 ) ) )
@ X1 ) )
| ( prop2setI = $false ) ),
inference(pi_clausification,[status(thm)],[f5451]) ).
thf(f5451,plain,
( ( prop2setI = $false )
| ( $true
= ( !! @ $o
@ ^ [Y0: $o] :
( Y0
=> ( in @ emptyset @ ( prop2set @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f537]) ).
thf(f537,plain,
( prop2setI
= ( !! @ $o
@ ^ [Y0: $o] :
( Y0
=> ( in @ emptyset @ ( prop2set @ Y0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
thf(f167,plain,
( prop2setI
= ( !! @ $o
@ ^ [Y0: $o] :
( Y0
=> ( in @ emptyset @ ( prop2set @ Y0 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f166]) ).
thf(f166,plain,
! [X0: $o] :
( ( X0
=> ( in @ emptyset @ ( prop2set @ X0 ) ) )
= prop2setI ),
inference(rectify,[status(thm)],[f59]) ).
thf(f59,axiom,
! [X0: $o] :
( ( X0
=> ( in @ emptyset @ ( prop2set @ X0 ) ) )
= prop2setI ),
file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',prop2setI) ).
thf(f7736,plain,
( spl3_297
| spl3_298 ),
inference(avatar_split_clause,[status(thm)],[f5727,f7734,f7731]) ).
thf(f7731,definition,
( spl3_297
<=> ( powerset__Cong = $false ) ),
introduced(definition,[new_symbols(naming,[spl3_297])],[avatar_definition]) ).
thf(f5727,plain,
! [X2: $i,X1: $i] :
( ( powerset__Cong = $false )
| ( ( powerset @ X1 )
= ( powerset @ X2 ) )
| ( X1 != X2 ) ),
inference(equality_proxy_clausification,[status(thm)],[f5726]) ).
thf(f5726,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( X2 = X1 ) )
| ( powerset__Cong = $false )
| ( ( powerset @ X1 )
= ( powerset @ X2 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f5725]) ).
thf(f5725,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( powerset @ X2 )
= ( powerset @ X1 ) ) )
| ( powerset__Cong = $false )
| ( $false
= ( X2 = X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f5724]) ).
thf(f5724,plain,
! [X2: $i,X1: $i] :
( ( powerset__Cong = $false )
| ( $true
= ( ( X2 = X1 )
=> ( ( powerset @ X2 )
= ( powerset @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f5723]) ).
thf(f5723,plain,
! [X2: $i,X1: $i] :
( ( powerset__Cong = $false )
| ( ( ^ [Y0: $i] :
( ( Y0 = X1 )
=> ( ( powerset @ Y0 )
= ( powerset @ X1 ) ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f5722]) ).
thf(f5722,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( Y0 = X1 )
=> ( ( powerset @ Y0 )
= ( powerset @ X1 ) ) ) ) )
| ( powerset__Cong = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f5721]) ).
thf(f5721,plain,
! [X1: $i] :
( ( powerset__Cong = $false )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 = Y0 )
=> ( ( powerset @ Y1 )
= ( powerset @ Y0 ) ) ) )
@ X1 ) ) ),
inference(pi_clausification,[status(thm)],[f5720]) ).
thf(f5720,plain,
( ( powerset__Cong = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 = Y0 )
=> ( ( powerset @ Y1 )
= ( powerset @ Y0 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f484]) ).
thf(f484,plain,
( powerset__Cong
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 = Y0 )
=> ( ( powerset @ Y1 )
= ( powerset @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f296]) ).
thf(f296,plain,
( powerset__Cong
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 = Y0 )
=> ( ( powerset @ Y1 )
= ( powerset @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f295]) ).
thf(f295,plain,
! [X0: $i,X1: $i] :
( ( ( X0 = X1 )
=> ( ( powerset @ X0 )
= ( powerset @ X1 ) ) )
= powerset__Cong ),
inference(rectify,[status(thm)],[f72]) ).
thf(f72,axiom,
! [X3: $i,X4: $i] :
( ( ( X3 = X4 )
=> ( ( powerset @ X3 )
= ( powerset @ X4 ) ) )
= powerset__Cong ),
file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',powerset__Cong) ).
thf(f7580,plain,
spl3_257,
inference(avatar_split_clause,[status(thm)],[f731,f7578]) ).
thf(f7578,definition,
( spl3_257
<=> ( powerset__Cong = $true ) ),
introduced(definition,[new_symbols(naming,[spl3_257])],[avatar_definition]) ).
thf(f731,plain,
powerset__Cong = $true,
inference(cnf_transformation,[status(thm)],[f465]) ).
thf(f7558,plain,
( spl3_250
| spl3_251 ),
inference(avatar_split_clause,[status(thm)],[f5874,f7556,f7553]) ).
thf(f7556,definition,
( spl3_251
<=> ( powersetAx = $false ) ),
introduced(definition,[new_symbols(naming,[spl3_251])],[avatar_definition]) ).
thf(f5874,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) ) )
= ( in @ X2 @ ( powerset @ X1 ) ) ) )
| ( powersetAx = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f5873]) ).
thf(f5873,plain,
! [X2: $i,X1: $i] :
( ( powersetAx = $false )
| ( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X1 ) ) )
= ( in @ Y0 @ ( powerset @ X1 ) ) )
@ X2 ) ) ),
inference(pi_clausification,[status(thm)],[f5872]) ).
thf(f5872,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X1 ) ) )
= ( in @ Y0 @ ( powerset @ X1 ) ) ) ) )
| ( powersetAx = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f5871]) ).
thf(f5871,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
= ( in @ Y1 @ ( powerset @ Y0 ) ) ) )
@ X1 )
= $true )
| ( powersetAx = $false ) ),
inference(pi_clausification,[status(thm)],[f5870]) ).
thf(f5870,plain,
( ( powersetAx = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
= ( in @ Y1 @ ( powerset @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f556]) ).
thf(f556,plain,
( powersetAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
= ( in @ Y1 @ ( powerset @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f280]) ).
thf(f280,plain,
( powersetAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
= ( in @ Y1 @ ( powerset @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f279]) ).
thf(f279,plain,
( powersetAx
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
<=> ( in @ X0 @ ( powerset @ X1 ) ) ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
( powersetAx
= ( ! [X4: $i,X3: $i] :
( ! [X1: $i] :
( ( in @ X1 @ X4 )
=> ( in @ X1 @ X3 ) )
<=> ( in @ X4 @ ( powerset @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',powersetAx) ).
thf(f7130,plain,
spl3_136,
inference(avatar_split_clause,[status(thm)],[f671,f7128]) ).
thf(f7128,definition,
( spl3_136
<=> ( setunionAx = $true ) ),
introduced(definition,[new_symbols(naming,[spl3_136])],[avatar_definition]) ).
thf(f671,plain,
setunionAx = $true,
inference(cnf_transformation,[status(thm)],[f465]) ).
thf(f7048,plain,
spl3_114,
inference(avatar_split_clause,[status(thm)],[f773,f7046]) ).
thf(f6862,plain,
( spl3_63
| spl3_64 ),
inference(avatar_split_clause,[status(thm)],[f6470,f6860,f6857]) ).
thf(f6857,definition,
( spl3_63
<=> ( notinsingleton = $false ) ),
introduced(definition,[new_symbols(naming,[spl3_63])],[avatar_definition]) ).
thf(f6470,plain,
! [X2: $i,X1: $i] :
( ( notinsingleton = $false )
| ( ( in @ X1 @ ( setadjoin @ X2 @ emptyset ) )
= $false )
| ( X1 = X2 ) ),
inference(not_proxy_clausification,[status(thm)],[f6469]) ).
thf(f6469,plain,
! [X2: $i,X1: $i] :
( ( notinsingleton = $false )
| ( X1 = X2 )
| ( $true
= ( ~ ( in @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f6468]) ).
thf(f6468,plain,
! [X2: $i,X1: $i] :
( ( notinsingleton = $false )
| ( ( X2 = X1 )
= $true )
| ( $true
= ( ~ ( in @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f6467]) ).
thf(f6467,plain,
! [X2: $i,X1: $i] :
( ( ( X2 != X1 )
= $false )
| ( notinsingleton = $false )
| ( $true
= ( ~ ( in @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f6466]) ).
thf(f6466,plain,
! [X2: $i,X1: $i] :
( ( notinsingleton = $false )
| ( $true
= ( ( X2 != X1 )
=> ~ ( in @ X1 @ ( setadjoin @ X2 @ emptyset ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f6465]) ).
thf(f6465,plain,
! [X2: $i,X1: $i] :
( ( notinsingleton = $false )
| ( $true
= ( ^ [Y0: $i] :
( ( Y0 != X1 )
=> ~ ( in @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) )
@ X2 ) ) ),
inference(pi_clausification,[status(thm)],[f6464]) ).
thf(f6464,plain,
! [X1: $i] :
( ( notinsingleton = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( Y0 != X1 )
=> ~ ( in @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f6463]) ).
thf(f6463,plain,
! [X1: $i] :
( ( notinsingleton = $false )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 != Y0 )
=> ~ ( in @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) )
@ X1 ) ) ),
inference(pi_clausification,[status(thm)],[f6462]) ).
thf(f6462,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 != Y0 )
=> ~ ( in @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) )
= $true )
| ( notinsingleton = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f489]) ).
thf(f489,plain,
( notinsingleton
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 != Y0 )
=> ~ ( in @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
thf(f175,plain,
( notinsingleton
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y1 != Y0 )
=> ~ ( in @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f174]) ).
thf(f174,plain,
( notinsingleton
= ( ! [X0: $i,X1: $i] :
( ( X0 != X1 )
=> ~ ( in @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) ) ),
inference(rectify,[status(thm)],[f47]) ).
thf(f47,axiom,
( notinsingleton
= ( ! [X1: $i,X2: $i] :
( ( X1 != X2 )
=> ~ ( in @ X2 @ ( setadjoin @ X1 @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',notinsingleton) ).
thf(f6778,plain,
spl3_41,
inference(avatar_split_clause,[status(thm)],[f661,f6776]) ).
thf(f661,plain,
omegaSAx = $true,
inference(cnf_transformation,[status(thm)],[f465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU634^1 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n001.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 12:29:50 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.47 ---- Original DTF file ---
% 0.30/0.47 thf(spec,logic,$$dhol).
% 0.30/0.47 %------------------------------------------------------------------------------
% 0.30/0.47 % File : SEU634^1 : TPTP v9.2.1. Released v3.7.0.
% 0.30/0.47 % Domain : Set Theory
% 0.30/0.47 % Problem : Ordered Pairs - Singletons
% 0.30/0.47 % Version : Especial.
% 0.30/0.47 % English : (! A:i.subset (setunion (setadjoin A emptyset)) A)
% 0.30/0.47
% 0.30/0.47 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.30/0.47 % Source : [Bro08]
% 0.30/0.47 % Names : ZFC136g [Bro08]
% 0.30/0.47
% 0.30/0.47 % Status : Theorem
% 0.30/0.47 % Rating : 0.56 v9.1.0, 0.50 v9.0.0, 0.60 v8.2.0, 0.69 v8.1.0, 0.64 v7.5.0, 0.71 v7.4.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.50 v7.0.0, 0.86 v6.4.0, 0.83 v6.3.0, 1.00 v6.2.0, 0.86 v6.1.0, 1.00 v5.4.0, 0.80 v4.1.0, 1.00 v3.7.0
% 0.30/0.47 % Syntax : Number of formulae : 328 ( 154 unt; 173 typ; 154 def)
% 0.30/0.47 % Number of atoms : 818 ( 215 equ; 0 cnn)
% 0.30/0.47 % Maximal formula atoms : 151 ( 5 avg)
% 0.30/0.47 % Number of connectives : 1408 ( 47 ~; 7 |; 33 &; 948 @)
% 0.30/0.47 % ( 14 <=>; 359 =>; 0 <=; 0 <~>)
% 0.30/0.47 % Maximal formula depth : 157 ( 2 avg)
% 0.30/0.47 % Number of types : 2 ( 0 usr)
% 0.30/0.47 % Number of type conns : 69 ( 69 >; 0 *; 0 +; 0 <<)
% 0.30/0.47 % Number of symbols : 176 ( 173 usr; 154 con; 0-2 aty)
% 0.30/0.47 % Number of variables : 447 ( 33 ^; 380 !; 34 ?; 447 :)
% 0.30/0.47 % SPC : TH0_THM_EQU_NAR
% 0.30/0.47
% 0.30/0.47 % Comments : http://mathgate.info/detsetitem.php?id=191
% 0.30/0.47 %------------------------------------------------------------------------------
% 0.30/0.47 thf(in_type,type,
% 0.30/0.47 in: $i > $i > $o ).
% 0.30/0.47
% 0.30/0.47 thf(exu_type,type,
% 0.30/0.47 exu: ( $i > $o ) > $o ).
% 0.30/0.47
% 0.30/0.47 thf(exu,definition,
% 0.30/0.47 ( exu
% 0.30/0.47 = ( ^ [Xphi: $i > $o] :
% 0.30/0.47 ? [Xx: $i] :
% 0.30/0.47 ( ( Xphi @ Xx )
% 0.30/0.47 & ! [Xy: $i] :
% 0.30/0.47 ( ( Xphi @ Xy )
% 0.30/0.47 => ( Xx = Xy ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setextAx_type,type,
% 0.30/0.47 setextAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setextAx,definition,
% 0.30/0.47 ( setextAx
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 <=> ( in @ Xx @ B ) )
% 0.30/0.47 => ( A = B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptyset_type,type,
% 0.30/0.47 emptyset: $i ).
% 0.30/0.47
% 0.30/0.47 thf(emptysetAx_type,type,
% 0.30/0.47 emptysetAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptysetAx,definition,
% 0.30/0.47 ( emptysetAx
% 0.30/0.47 = ( ! [Xx: $i] :
% 0.30/0.47 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoin_type,type,
% 0.30/0.47 setadjoin: $i > $i > $i ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinAx_type,type,
% 0.30/0.47 setadjoinAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinAx,definition,
% 0.30/0.47 ( setadjoinAx
% 0.30/0.47 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.30/0.47 <=> ( ( Xy = Xx )
% 0.30/0.47 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(powerset_type,type,
% 0.30/0.47 powerset: $i > $i ).
% 0.30/0.47
% 0.30/0.47 thf(powersetAx_type,type,
% 0.30/0.47 powersetAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(powersetAx,definition,
% 0.30/0.47 ( powersetAx
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( in @ B @ ( powerset @ A ) )
% 0.30/0.47 <=> ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setunion_type,type,
% 0.30/0.47 setunion: $i > $i ).
% 0.30/0.47
% 0.30/0.47 thf(setunionAx_type,type,
% 0.30/0.47 setunionAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setunionAx,definition,
% 0.30/0.47 ( setunionAx
% 0.30/0.47 = ( ! [A: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( setunion @ A ) )
% 0.30/0.47 <=> ? [B: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 & ( in @ B @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(omega_type,type,
% 0.30/0.47 omega: $i ).
% 0.30/0.47
% 0.30/0.47 thf(omega0Ax_type,type,
% 0.30/0.47 omega0Ax: $o ).
% 0.30/0.47
% 0.30/0.47 thf(omega0Ax,definition,
% 0.30/0.47 ( omega0Ax
% 0.30/0.47 = ( in @ emptyset @ omega ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(omegaSAx_type,type,
% 0.30/0.47 omegaSAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(omegaSAx,definition,
% 0.30/0.47 ( omegaSAx
% 0.30/0.47 = ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ omega )
% 0.30/0.47 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(omegaIndAx_type,type,
% 0.30/0.47 omegaIndAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(omegaIndAx,definition,
% 0.30/0.47 ( omegaIndAx
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ( ( ( in @ emptyset @ A )
% 0.30/0.47 & ! [Xx: $i] :
% 0.30/0.47 ( ( ( in @ Xx @ omega )
% 0.30/0.47 & ( in @ Xx @ A ) )
% 0.30/0.47 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.30/0.47 => ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ omega )
% 0.30/0.47 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(replAx_type,type,
% 0.30/0.47 replAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(replAx,definition,
% 0.30/0.47 ( replAx
% 0.30/0.47 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( exu
% 0.30/0.47 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.30/0.47 => ? [B: $i] :
% 0.30/0.47 ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 <=> ? [Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ A )
% 0.30/0.47 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(foundationAx_type,type,
% 0.30/0.47 foundationAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(foundationAx,definition,
% 0.30/0.47 ( foundationAx
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.30/0.47 => ? [B: $i] :
% 0.30/0.47 ( ( in @ B @ A )
% 0.30/0.47 & ~ ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(wellorderingAx_type,type,
% 0.30/0.47 wellorderingAx: $o ).
% 0.30/0.47
% 0.30/0.47 thf(wellorderingAx,definition,
% 0.30/0.47 ( wellorderingAx
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ? [B: $i] :
% 0.30/0.47 ( ! [C: $i] :
% 0.30/0.47 ( ( in @ C @ B )
% 0.30/0.47 => ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ C )
% 0.30/0.47 => ( in @ Xx @ A ) ) )
% 0.30/0.47 & ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( ( in @ Xx @ A )
% 0.30/0.47 & ( in @ Xy @ A ) )
% 0.30/0.47 => ( ! [C: $i] :
% 0.30/0.47 ( ( in @ C @ B )
% 0.30/0.47 => ( ( in @ Xx @ C )
% 0.30/0.47 <=> ( in @ Xy @ C ) ) )
% 0.30/0.47 => ( Xx = Xy ) ) )
% 0.30/0.47 & ! [C: $i,D: $i] :
% 0.30/0.47 ( ( ( in @ C @ B )
% 0.30/0.47 & ( in @ D @ B ) )
% 0.30/0.47 => ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ C )
% 0.30/0.47 => ( in @ Xx @ D ) )
% 0.30/0.47 | ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ D )
% 0.30/0.47 => ( in @ Xx @ C ) ) ) )
% 0.30/0.47 & ! [C: $i] :
% 0.30/0.47 ( ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ C )
% 0.30/0.47 => ( in @ Xx @ A ) )
% 0.30/0.47 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.30/0.47 => ? [D: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ D @ B )
% 0.30/0.47 & ( in @ Xx @ C )
% 0.30/0.47 & ~ ? [Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ D )
% 0.30/0.47 & ( in @ Xy @ C ) )
% 0.30/0.47 & ! [E: $i] :
% 0.30/0.47 ( ( in @ E @ B )
% 0.30/0.47 => ( ! [Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ E )
% 0.30/0.47 => ( in @ Xy @ D ) )
% 0.30/0.47 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(descr_type,type,
% 0.30/0.47 descr: ( $i > $o ) > $i ).
% 0.30/0.47
% 0.30/0.47 thf(descrp_type,type,
% 0.30/0.47 descrp: $o ).
% 0.30/0.47
% 0.30/0.47 thf(descrp,definition,
% 0.30/0.47 ( descrp
% 0.30/0.47 = ( ! [Xphi: $i > $o] :
% 0.30/0.47 ( ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 => ( Xphi
% 0.30/0.47 @ ( descr
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(dsetconstr_type,type,
% 0.30/0.47 dsetconstr: $i > ( $i > $o ) > $i ).
% 0.30/0.47
% 0.30/0.47 thf(dsetconstrI_type,type,
% 0.30/0.47 dsetconstrI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(dsetconstrI,definition,
% 0.30/0.47 ( dsetconstrI
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( ( Xphi @ Xx )
% 0.30/0.47 => ( in @ Xx
% 0.30/0.47 @ ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(dsetconstrEL_type,type,
% 0.30/0.47 dsetconstrEL: $o ).
% 0.30/0.47
% 0.30/0.47 thf(dsetconstrEL,definition,
% 0.30/0.47 ( dsetconstrEL
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx
% 0.30/0.47 @ ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.30/0.47 => ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(dsetconstrER_type,type,
% 0.30/0.47 dsetconstrER: $o ).
% 0.30/0.47
% 0.30/0.47 thf(dsetconstrER,definition,
% 0.30/0.47 ( dsetconstrER
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx
% 0.30/0.47 @ ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.30/0.47 => ( Xphi @ Xx ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(exuE1_type,type,
% 0.30/0.47 exuE1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(exuE1,definition,
% 0.30/0.47 ( exuE1
% 0.30/0.47 = ( ! [Xphi: $i > $o] :
% 0.30/0.47 ( ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 => ? [Xx: $i] :
% 0.30/0.47 ( ( Xphi @ Xx )
% 0.30/0.47 & ! [Xy: $i] :
% 0.30/0.47 ( ( Xphi @ Xy )
% 0.30/0.47 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(prop2set_type,type,
% 0.30/0.47 prop2set: $o > $i ).
% 0.30/0.47
% 0.30/0.47 thf(prop2setE_type,type,
% 0.30/0.47 prop2setE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(prop2setE,definition,
% 0.30/0.47 ( prop2setE
% 0.30/0.47 = ( ! [Xphi: $o,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.30/0.47 => Xphi ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptysetE_type,type,
% 0.30/0.47 emptysetE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptysetE,definition,
% 0.30/0.47 ( emptysetE
% 0.30/0.47 = ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ emptyset )
% 0.30/0.47 => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptysetimpfalse_type,type,
% 0.30/0.47 emptysetimpfalse: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptysetimpfalse,definition,
% 0.30/0.47 ( emptysetimpfalse
% 0.30/0.47 = ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ emptyset )
% 0.30/0.47 => $false ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(notinemptyset_type,type,
% 0.30/0.47 notinemptyset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(notinemptyset,definition,
% 0.30/0.47 ( notinemptyset
% 0.30/0.47 = ( ! [Xx: $i] :
% 0.30/0.47 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(exuE3e_type,type,
% 0.30/0.47 exuE3e: $o ).
% 0.30/0.47
% 0.30/0.47 thf(exuE3e,definition,
% 0.30/0.47 ( exuE3e
% 0.30/0.47 = ( ! [Xphi: $i > $o] :
% 0.30/0.47 ( ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setext_type,type,
% 0.30/0.47 setext: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setext,definition,
% 0.30/0.47 ( setext
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ Xx @ B ) )
% 0.30/0.47 => ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 => ( in @ Xx @ A ) )
% 0.30/0.47 => ( A = B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptyI_type,type,
% 0.30/0.47 emptyI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptyI,definition,
% 0.30/0.47 ( emptyI
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ~ ( in @ Xx @ A )
% 0.30/0.47 => ( A = emptyset ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(noeltsimpempty_type,type,
% 0.30/0.47 noeltsimpempty: $o ).
% 0.30/0.47
% 0.30/0.47 thf(noeltsimpempty,definition,
% 0.30/0.47 ( noeltsimpempty
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ~ ( in @ Xx @ A )
% 0.30/0.47 => ( A = emptyset ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setbeta_type,type,
% 0.30/0.47 setbeta: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setbeta,definition,
% 0.30/0.47 ( setbeta
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( ( in @ Xx
% 0.30/0.47 @ ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.30/0.47 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(nonempty_type,type,
% 0.30/0.47 nonempty: $i > $o ).
% 0.30/0.47
% 0.30/0.47 thf(nonempty,definition,
% 0.30/0.47 ( nonempty
% 0.30/0.47 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(nonemptyE1_type,type,
% 0.30/0.47 nonemptyE1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(nonemptyE1,definition,
% 0.30/0.47 ( nonemptyE1
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ( ( nonempty @ A )
% 0.30/0.47 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(nonemptyI_type,type,
% 0.30/0.47 nonemptyI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(nonemptyI,definition,
% 0.30/0.47 ( nonemptyI
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( ( Xphi @ Xx )
% 0.30/0.47 => ( nonempty
% 0.30/0.47 @ ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(nonemptyI1_type,type,
% 0.30/0.47 nonemptyI1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(nonemptyI1,definition,
% 0.30/0.47 ( nonemptyI1
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.30/0.47 => ( nonempty @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinIL_type,type,
% 0.30/0.47 setadjoinIL: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinIL,definition,
% 0.30/0.47 ( setadjoinIL
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptyinunitempty_type,type,
% 0.30/0.47 emptyinunitempty: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptyinunitempty,definition,
% 0.30/0.47 ( emptyinunitempty
% 0.30/0.47 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinIR_type,type,
% 0.30/0.47 setadjoinIR: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinIR,definition,
% 0.30/0.47 ( setadjoinIR
% 0.30/0.47 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ A )
% 0.30/0.47 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinE_type,type,
% 0.30/0.47 setadjoinE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinE,definition,
% 0.30/0.47 ( setadjoinE
% 0.30/0.47 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.30/0.47 => ! [Xphi: $o] :
% 0.30/0.47 ( ( ( Xy = Xx )
% 0.30/0.47 => Xphi )
% 0.30/0.47 => ( ( ( in @ Xy @ A )
% 0.30/0.47 => Xphi )
% 0.30/0.47 => Xphi ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinOr_type,type,
% 0.30/0.47 setadjoinOr: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinOr,definition,
% 0.30/0.47 ( setadjoinOr
% 0.30/0.47 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.30/0.47 => ( ( Xy = Xx )
% 0.30/0.47 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setoftrueEq_type,type,
% 0.30/0.47 setoftrueEq: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setoftrueEq,definition,
% 0.30/0.47 ( setoftrueEq
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ( ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xx: $i] : $true )
% 0.30/0.47 = A ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(powersetI_type,type,
% 0.30/0.47 powersetI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(powersetI,definition,
% 0.30/0.47 ( powersetI
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 => ( in @ Xx @ A ) )
% 0.30/0.47 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptyinPowerset_type,type,
% 0.30/0.47 emptyinPowerset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptyinPowerset,definition,
% 0.30/0.47 ( emptyinPowerset
% 0.30/0.47 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptyInPowerset_type,type,
% 0.30/0.47 emptyInPowerset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptyInPowerset,definition,
% 0.30/0.47 ( emptyInPowerset
% 0.30/0.47 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(powersetE_type,type,
% 0.30/0.47 powersetE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(powersetE,definition,
% 0.30/0.47 ( powersetE
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ B @ ( powerset @ A ) )
% 0.30/0.47 => ( ( in @ Xx @ B )
% 0.30/0.47 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setunionI_type,type,
% 0.30/0.47 setunionI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setunionI,definition,
% 0.30/0.47 ( setunionI
% 0.30/0.47 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 => ( ( in @ B @ A )
% 0.30/0.47 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setunionE_type,type,
% 0.30/0.47 setunionE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setunionE,definition,
% 0.30/0.47 ( setunionE
% 0.30/0.47 = ( ! [A: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( setunion @ A ) )
% 0.30/0.47 => ! [Xphi: $o] :
% 0.30/0.47 ( ! [B: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 => ( ( in @ B @ A )
% 0.30/0.47 => Xphi ) )
% 0.30/0.47 => Xphi ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(subPowSU_type,type,
% 0.30/0.47 subPowSU: $o ).
% 0.30/0.47
% 0.30/0.47 thf(subPowSU,definition,
% 0.30/0.47 ( subPowSU
% 0.30/0.47 = ( ! [A: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(exuE2_type,type,
% 0.30/0.47 exuE2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(exuE2,definition,
% 0.30/0.47 ( exuE2
% 0.30/0.47 = ( ! [Xphi: $i > $o] :
% 0.30/0.47 ( ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 => ? [Xx: $i] :
% 0.30/0.47 ! [Xy: $i] :
% 0.30/0.47 ( ( Xphi @ Xy )
% 0.30/0.47 <=> ( Xy = Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(nonemptyImpWitness_type,type,
% 0.30/0.47 nonemptyImpWitness: $o ).
% 0.30/0.47
% 0.30/0.47 thf(nonemptyImpWitness,definition,
% 0.30/0.47 ( nonemptyImpWitness
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ( ( nonempty @ A )
% 0.30/0.47 => ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 & $true ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(uniqinunit_type,type,
% 0.30/0.47 uniqinunit: $o ).
% 0.30/0.47
% 0.30/0.47 thf(uniqinunit,definition,
% 0.30/0.47 ( uniqinunit
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.30/0.47 => ( Xx = Xy ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(notinsingleton_type,type,
% 0.30/0.47 notinsingleton: $o ).
% 0.30/0.47
% 0.30/0.47 thf(notinsingleton,definition,
% 0.30/0.47 ( notinsingleton
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xx != Xy )
% 0.30/0.47 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(eqinunit_type,type,
% 0.30/0.47 eqinunit: $o ).
% 0.30/0.47
% 0.30/0.47 thf(eqinunit,definition,
% 0.30/0.47 ( eqinunit
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xx = Xy )
% 0.30/0.47 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(singletonsswitch_type,type,
% 0.30/0.47 singletonsswitch: $o ).
% 0.30/0.47
% 0.30/0.47 thf(singletonsswitch,definition,
% 0.30/0.47 ( singletonsswitch
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.30/0.47 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(upairsetE_type,type,
% 0.30/0.47 upairsetE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(upairsetE,definition,
% 0.30/0.47 ( upairsetE
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.30/0.47 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.30/0.47 => ( ( Xz = Xx )
% 0.30/0.47 | ( Xz = Xy ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(upairsetIL_type,type,
% 0.30/0.47 upairsetIL: $o ).
% 0.30/0.47
% 0.30/0.47 thf(upairsetIL,definition,
% 0.30/0.47 ( upairsetIL
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(upairsetIR_type,type,
% 0.30/0.47 upairsetIR: $o ).
% 0.30/0.47
% 0.30/0.47 thf(upairsetIR,definition,
% 0.30/0.47 ( upairsetIR
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptyE1_type,type,
% 0.30/0.47 emptyE1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptyE1,definition,
% 0.30/0.47 ( emptyE1
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.47 ( ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 & ( Xphi @ Xx ) )
% 0.30/0.47 => ( ( ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 = emptyset )
% 0.30/0.47 => $false ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(vacuousDall_type,type,
% 0.30/0.47 vacuousDall: $o ).
% 0.30/0.47
% 0.30/0.47 thf(vacuousDall,definition,
% 0.30/0.47 ( vacuousDall
% 0.30/0.47 = ( ! [Xphi: $i > $o,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ emptyset )
% 0.30/0.47 => ( Xphi @ Xx ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(quantDeMorgan1_type,type,
% 0.30/0.47 quantDeMorgan1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(quantDeMorgan1,definition,
% 0.30/0.47 ( quantDeMorgan1
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.47 ( ~ ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( Xphi @ Xx ) )
% 0.30/0.47 => ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(quantDeMorgan2_type,type,
% 0.30/0.47 quantDeMorgan2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(quantDeMorgan2,definition,
% 0.30/0.47 ( quantDeMorgan2
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ~ ( Xphi @ Xx ) )
% 0.30/0.47 => ~ ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 & ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(quantDeMorgan3_type,type,
% 0.30/0.47 quantDeMorgan3: $o ).
% 0.30/0.47
% 0.30/0.47 thf(quantDeMorgan3,definition,
% 0.30/0.47 ( quantDeMorgan3
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.47 ( ~ ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 & ( Xphi @ Xx ) )
% 0.30/0.47 => ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(quantDeMorgan4_type,type,
% 0.30/0.47 quantDeMorgan4: $o ).
% 0.30/0.47
% 0.30/0.47 thf(quantDeMorgan4,definition,
% 0.30/0.47 ( quantDeMorgan4
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.47 ( ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 & ~ ( Xphi @ Xx ) )
% 0.30/0.47 => ~ ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(prop2setI_type,type,
% 0.30/0.47 prop2setI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(prop2setI,definition,
% 0.30/0.47 ( prop2setI
% 0.30/0.47 = ( ! [Xphi: $o] :
% 0.30/0.47 ( Xphi
% 0.30/0.47 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(set2prop_type,type,
% 0.30/0.47 set2prop: $i > $o ).
% 0.30/0.47
% 0.30/0.47 thf(prop2set2propI_type,type,
% 0.30/0.47 prop2set2propI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(prop2set2propI,definition,
% 0.30/0.47 ( prop2set2propI
% 0.30/0.47 = ( ! [Xphi: $o] :
% 0.30/0.47 ( Xphi
% 0.30/0.47 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(notdexE_type,type,
% 0.30/0.47 notdexE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(notdexE,definition,
% 0.30/0.47 ( notdexE
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.47 ( ~ ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 & ( Xphi @ Xx ) )
% 0.30/0.47 => ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(notdallE_type,type,
% 0.30/0.47 notdallE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(notdallE,definition,
% 0.30/0.47 ( notdallE
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.47 ( ~ ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( Xphi @ Xx ) )
% 0.30/0.47 => ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(exuI1_type,type,
% 0.30/0.47 exuI1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(exuI1,definition,
% 0.30/0.47 ( exuI1
% 0.30/0.47 = ( ! [Xphi: $i > $o] :
% 0.30/0.47 ( ? [Xx: $i] :
% 0.30/0.47 ( ( Xphi @ Xx )
% 0.30/0.47 & ! [Xy: $i] :
% 0.30/0.47 ( ( Xphi @ Xy )
% 0.30/0.47 => ( Xx = Xy ) ) )
% 0.30/0.47 => ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(exuI3_type,type,
% 0.30/0.47 exuI3: $o ).
% 0.30/0.47
% 0.30/0.47 thf(exuI3,definition,
% 0.30/0.47 ( exuI3
% 0.30/0.47 = ( ! [Xphi: $i > $o] :
% 0.30/0.47 ( ? [Xx: $i] : ( Xphi @ Xx )
% 0.30/0.47 => ( ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xphi @ Xx )
% 0.30/0.47 => ( ( Xphi @ Xy )
% 0.30/0.47 => ( Xx = Xy ) ) )
% 0.30/0.47 => ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(exuI2_type,type,
% 0.30/0.47 exuI2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(exuI2,definition,
% 0.30/0.47 ( exuI2
% 0.30/0.47 = ( ! [Xphi: $i > $o] :
% 0.30/0.47 ( ? [Xx: $i] :
% 0.30/0.47 ! [Xy: $i] :
% 0.30/0.47 ( ( Xphi @ Xy )
% 0.30/0.47 <=> ( Xy = Xx ) )
% 0.30/0.47 => ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(inCongP_type,type,
% 0.30/0.47 inCongP: $o ).
% 0.30/0.47
% 0.30/0.47 thf(inCongP,definition,
% 0.30/0.47 ( inCongP
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( A = B )
% 0.30/0.47 => ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xx = Xy )
% 0.30/0.47 => ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(in__Cong_type,type,
% 0.30/0.47 in__Cong: $o ).
% 0.30/0.47
% 0.30/0.47 thf(in__Cong,definition,
% 0.30/0.47 ( in__Cong
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( A = B )
% 0.30/0.47 => ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xx = Xy )
% 0.30/0.47 => ( ( in @ Xx @ A )
% 0.30/0.47 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(exuE3u_type,type,
% 0.30/0.47 exuE3u: $o ).
% 0.30/0.47
% 0.30/0.47 thf(exuE3u,definition,
% 0.30/0.47 ( exuE3u
% 0.30/0.47 = ( ! [Xphi: $i > $o] :
% 0.30/0.47 ( ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 => ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xphi @ Xx )
% 0.30/0.47 => ( ( Xphi @ Xy )
% 0.30/0.47 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(exu__Cong_type,type,
% 0.30/0.47 exu__Cong: $o ).
% 0.30/0.47
% 0.30/0.47 thf(exu__Cong,definition,
% 0.30/0.47 ( exu__Cong
% 0.30/0.47 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.30/0.47 ( ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xx = Xy )
% 0.30/0.47 => ( ( Xphi @ Xx )
% 0.30/0.47 <=> ( Xpsi @ Xy ) ) )
% 0.30/0.47 => ( ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 <=> ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptyset__Cong_type,type,
% 0.30/0.47 emptyset__Cong: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptyset__Cong,definition,
% 0.30/0.47 ( emptyset__Cong
% 0.30/0.47 = ( emptyset = emptyset ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoin__Cong_type,type,
% 0.30/0.47 setadjoin__Cong: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoin__Cong,definition,
% 0.30/0.47 ( setadjoin__Cong
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xx = Xy )
% 0.30/0.47 => ! [Xz: $i,Xu: $i] :
% 0.30/0.47 ( ( Xz = Xu )
% 0.30/0.47 => ( ( setadjoin @ Xx @ Xz )
% 0.30/0.47 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(powerset__Cong_type,type,
% 0.30/0.47 powerset__Cong: $o ).
% 0.30/0.47
% 0.30/0.47 thf(powerset__Cong,definition,
% 0.30/0.47 ( powerset__Cong
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( A = B )
% 0.30/0.47 => ( ( powerset @ A )
% 0.30/0.47 = ( powerset @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setunion__Cong_type,type,
% 0.30/0.47 setunion__Cong: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setunion__Cong,definition,
% 0.30/0.47 ( setunion__Cong
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( A = B )
% 0.30/0.47 => ( ( setunion @ A )
% 0.30/0.47 = ( setunion @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(omega__Cong_type,type,
% 0.30/0.47 omega__Cong: $o ).
% 0.30/0.47
% 0.30/0.47 thf(omega__Cong,definition,
% 0.30/0.47 ( omega__Cong
% 0.30/0.47 = ( omega = omega ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(exuEu_type,type,
% 0.30/0.47 exuEu: $o ).
% 0.30/0.47
% 0.30/0.47 thf(exuEu,definition,
% 0.30/0.47 ( exuEu
% 0.30/0.47 = ( ! [Xphi: $i > $o] :
% 0.30/0.47 ( ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 => ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xphi @ Xx )
% 0.30/0.47 => ( ( Xphi @ Xy )
% 0.30/0.47 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(descr__Cong_type,type,
% 0.30/0.47 descr__Cong: $o ).
% 0.30/0.47
% 0.30/0.47 thf(descr__Cong,definition,
% 0.30/0.47 ( descr__Cong
% 0.30/0.47 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.30/0.47 ( ! [Xx: $i,Xy: $i] :
% 0.30/0.47 ( ( Xx = Xy )
% 0.30/0.47 => ( ( Xphi @ Xx )
% 0.30/0.47 <=> ( Xpsi @ Xy ) ) )
% 0.30/0.47 => ( ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 => ( ( exu
% 0.30/0.47 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 0.30/0.47 => ( ( descr
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 = ( descr
% 0.30/0.47 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(dsetconstr__Cong_type,type,
% 0.30/0.47 dsetconstr__Cong: $o ).
% 0.30/0.47
% 0.30/0.47 thf(dsetconstr__Cong,definition,
% 0.30/0.47 ( dsetconstr__Cong
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( A = B )
% 0.30/0.47 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ! [Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ B )
% 0.30/0.47 => ( ( Xx = Xy )
% 0.30/0.47 => ( ( Xphi @ Xx )
% 0.30/0.47 <=> ( Xpsi @ Xy ) ) ) ) )
% 0.30/0.47 => ( ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 = ( dsetconstr @ B
% 0.30/0.47 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(subset_type,type,
% 0.30/0.47 subset: $i > $i > $o ).
% 0.30/0.47
% 0.30/0.47 thf(disjoint_type,type,
% 0.30/0.47 disjoint: $i > $i > $o ).
% 0.30/0.47
% 0.30/0.47 thf(setsmeet_type,type,
% 0.30/0.47 setsmeet: $i > $i > $o ).
% 0.30/0.47
% 0.30/0.47 thf(subsetI1_type,type,
% 0.30/0.47 subsetI1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(subsetI1,definition,
% 0.30/0.47 ( subsetI1
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ Xx @ B ) )
% 0.30/0.47 => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(eqimpsubset2_type,type,
% 0.30/0.47 eqimpsubset2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(eqimpsubset2,definition,
% 0.30/0.47 ( eqimpsubset2
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( A = B )
% 0.30/0.47 => ( subset @ B @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(eqimpsubset1_type,type,
% 0.30/0.47 eqimpsubset1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(eqimpsubset1,definition,
% 0.30/0.47 ( eqimpsubset1
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( A = B )
% 0.30/0.47 => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(subsetI2_type,type,
% 0.30/0.47 subsetI2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(subsetI2,definition,
% 0.30/0.47 ( subsetI2
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ! [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ Xx @ B ) )
% 0.30/0.47 => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(emptysetsubset_type,type,
% 0.30/0.47 emptysetsubset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(emptysetsubset,definition,
% 0.30/0.47 ( emptysetsubset
% 0.30/0.47 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(subsetE_type,type,
% 0.30/0.47 subsetE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(subsetE,definition,
% 0.30/0.47 ( subsetE
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( subset @ A @ B )
% 0.30/0.47 => ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ Xx @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(subsetE2_type,type,
% 0.30/0.47 subsetE2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(subsetE2,definition,
% 0.30/0.47 ( subsetE2
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( subset @ A @ B )
% 0.30/0.47 => ( ~ ( in @ Xx @ B )
% 0.30/0.47 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(notsubsetI_type,type,
% 0.30/0.47 notsubsetI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(notsubsetI,definition,
% 0.30/0.47 ( notsubsetI
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( ~ ( in @ Xx @ B )
% 0.30/0.47 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(notequalI1_type,type,
% 0.30/0.47 notequalI1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(notequalI1,definition,
% 0.30/0.47 ( notequalI1
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ~ ( subset @ A @ B )
% 0.30/0.47 => ( A != B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(notequalI2_type,type,
% 0.30/0.47 notequalI2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(notequalI2,definition,
% 0.30/0.47 ( notequalI2
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( ~ ( in @ Xx @ B )
% 0.30/0.47 => ( A != B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(subsetRefl_type,type,
% 0.30/0.47 subsetRefl: $o ).
% 0.30/0.47
% 0.30/0.47 thf(subsetRefl,definition,
% 0.30/0.47 ( subsetRefl
% 0.30/0.47 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(subsetTrans_type,type,
% 0.30/0.47 subsetTrans: $o ).
% 0.30/0.47
% 0.30/0.47 thf(subsetTrans,definition,
% 0.30/0.47 ( subsetTrans
% 0.30/0.47 = ( ! [A: $i,B: $i,C: $i] :
% 0.30/0.47 ( ( subset @ A @ B )
% 0.30/0.47 => ( ( subset @ B @ C )
% 0.30/0.47 => ( subset @ A @ C ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinSub_type,type,
% 0.30/0.47 setadjoinSub: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinSub,definition,
% 0.30/0.47 ( setadjoinSub
% 0.30/0.47 = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinSub2_type,type,
% 0.30/0.47 setadjoinSub2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setadjoinSub2,definition,
% 0.30/0.47 ( setadjoinSub2
% 0.30/0.47 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.30/0.47 ( ( subset @ A @ B )
% 0.30/0.47 => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(subset2powerset_type,type,
% 0.30/0.47 subset2powerset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(subset2powerset,definition,
% 0.30/0.47 ( subset2powerset
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( subset @ A @ B )
% 0.30/0.47 => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setextsub_type,type,
% 0.30/0.47 setextsub: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setextsub,definition,
% 0.30/0.47 ( setextsub
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( subset @ A @ B )
% 0.30/0.47 => ( ( subset @ B @ A )
% 0.30/0.47 => ( A = B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(subsetemptysetimpeq_type,type,
% 0.30/0.47 subsetemptysetimpeq: $o ).
% 0.30/0.47
% 0.30/0.47 thf(subsetemptysetimpeq,definition,
% 0.30/0.47 ( subsetemptysetimpeq
% 0.30/0.47 = ( ! [A: $i] :
% 0.30/0.47 ( ( subset @ A @ emptyset )
% 0.30/0.47 => ( A = emptyset ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(powersetI1_type,type,
% 0.30/0.47 powersetI1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(powersetI1,definition,
% 0.30/0.47 ( powersetI1
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( subset @ B @ A )
% 0.30/0.47 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(powersetE1_type,type,
% 0.30/0.47 powersetE1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(powersetE1,definition,
% 0.30/0.47 ( powersetE1
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( in @ B @ ( powerset @ A ) )
% 0.30/0.47 => ( subset @ B @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(inPowerset_type,type,
% 0.30/0.47 inPowerset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(inPowerset,definition,
% 0.30/0.47 ( inPowerset
% 0.30/0.47 = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(powersetsubset_type,type,
% 0.30/0.47 powersetsubset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(powersetsubset,definition,
% 0.30/0.47 ( powersetsubset
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( subset @ A @ B )
% 0.30/0.47 => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(sepInPowerset_type,type,
% 0.30/0.47 sepInPowerset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(sepInPowerset,definition,
% 0.30/0.47 ( sepInPowerset
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.47 ( in
% 0.30/0.47 @ ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 @ ( powerset @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(sepSubset_type,type,
% 0.30/0.47 sepSubset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(sepSubset,definition,
% 0.30/0.47 ( sepSubset
% 0.30/0.47 = ( ! [A: $i,Xphi: $i > $o] :
% 0.30/0.47 ( subset
% 0.30/0.47 @ ( dsetconstr @ A
% 0.30/0.47 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/0.47 @ A ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binunion_type,type,
% 0.30/0.47 binunion: $i > $i > $i ).
% 0.30/0.47
% 0.30/0.47 thf(binunionIL_type,type,
% 0.30/0.47 binunionIL: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binunionIL,definition,
% 0.30/0.47 ( binunionIL
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(upairset2IR_type,type,
% 0.30/0.47 upairset2IR: $o ).
% 0.30/0.47
% 0.30/0.47 thf(upairset2IR,definition,
% 0.30/0.47 ( upairset2IR
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binunionIR_type,type,
% 0.30/0.47 binunionIR: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binunionIR,definition,
% 0.30/0.47 ( binunionIR
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binunionEcases_type,type,
% 0.30/0.47 binunionEcases: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binunionEcases,definition,
% 0.30/0.47 ( binunionEcases
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 0.30/0.47 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.30/0.47 => ( ( ( in @ Xx @ A )
% 0.30/0.47 => Xphi )
% 0.30/0.47 => ( ( ( in @ Xx @ B )
% 0.30/0.47 => Xphi )
% 0.30/0.47 => Xphi ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binunionE_type,type,
% 0.30/0.47 binunionE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binunionE,definition,
% 0.30/0.47 ( binunionE
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.30/0.47 => ( ( in @ Xx @ A )
% 0.30/0.47 | ( in @ Xx @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binunionLsub_type,type,
% 0.30/0.47 binunionLsub: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binunionLsub,definition,
% 0.30/0.47 ( binunionLsub
% 0.30/0.47 = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binunionRsub_type,type,
% 0.30/0.47 binunionRsub: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binunionRsub,definition,
% 0.30/0.47 ( binunionRsub
% 0.30/0.47 = ( ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersect_type,type,
% 0.30/0.47 binintersect: $i > $i > $i ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectI_type,type,
% 0.30/0.47 binintersectI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectI,definition,
% 0.30/0.47 ( binintersectI
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( ( in @ Xx @ B )
% 0.30/0.47 => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset5_type,type,
% 0.30/0.47 binintersectSubset5: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset5,definition,
% 0.30/0.47 ( binintersectSubset5
% 0.30/0.47 = ( ! [A: $i,B: $i,C: $i] :
% 0.30/0.47 ( ( subset @ C @ A )
% 0.30/0.47 => ( ( subset @ C @ B )
% 0.30/0.47 => ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectEL_type,type,
% 0.30/0.47 binintersectEL: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectEL,definition,
% 0.30/0.47 ( binintersectEL
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 0.30/0.47 => ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectLsub_type,type,
% 0.30/0.47 binintersectLsub: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectLsub,definition,
% 0.30/0.47 ( binintersectLsub
% 0.30/0.47 = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ A ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset2_type,type,
% 0.30/0.47 binintersectSubset2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset2,definition,
% 0.30/0.47 ( binintersectSubset2
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( subset @ A @ B )
% 0.30/0.47 => ( ( binintersect @ A @ B )
% 0.30/0.47 = A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset3_type,type,
% 0.30/0.47 binintersectSubset3: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset3,definition,
% 0.30/0.47 ( binintersectSubset3
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( ( binintersect @ A @ B )
% 0.30/0.47 = B )
% 0.30/0.47 => ( subset @ B @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectER_type,type,
% 0.30/0.47 binintersectER: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectER,definition,
% 0.30/0.47 ( binintersectER
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 0.30/0.47 => ( in @ Xx @ B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(disjointsetsI1_type,type,
% 0.30/0.47 disjointsetsI1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(disjointsetsI1,definition,
% 0.30/0.47 ( disjointsetsI1
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ~ ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 & ( in @ Xx @ B ) )
% 0.30/0.47 => ( ( binintersect @ A @ B )
% 0.30/0.47 = emptyset ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectRsub_type,type,
% 0.30/0.47 binintersectRsub: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectRsub,definition,
% 0.30/0.47 ( binintersectRsub
% 0.30/0.47 = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ B ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset4_type,type,
% 0.30/0.47 binintersectSubset4: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset4,definition,
% 0.30/0.47 ( binintersectSubset4
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( subset @ B @ A )
% 0.30/0.47 => ( ( binintersect @ A @ B )
% 0.30/0.47 = B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset1_type,type,
% 0.30/0.47 binintersectSubset1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(binintersectSubset1,definition,
% 0.30/0.47 ( binintersectSubset1
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( ( binintersect @ A @ B )
% 0.30/0.47 = A )
% 0.30/0.47 => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(bs114d_type,type,
% 0.30/0.47 bs114d: $o ).
% 0.30/0.47
% 0.30/0.47 thf(bs114d,definition,
% 0.30/0.47 ( bs114d
% 0.30/0.47 = ( ! [A: $i,B: $i,C: $i] :
% 0.30/0.47 ( ( binintersect @ A @ ( binunion @ B @ C ) )
% 0.30/0.47 = ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(regular_type,type,
% 0.30/0.47 regular: $i > $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminus_type,type,
% 0.30/0.47 setminus: $i > $i > $i ).
% 0.30/0.47
% 0.30/0.47 thf(setminusI_type,type,
% 0.30/0.47 setminusI: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusI,definition,
% 0.30/0.47 ( setminusI
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( ~ ( in @ Xx @ B )
% 0.30/0.47 => ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setminusEL_type,type,
% 0.30/0.47 setminusEL: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusEL,definition,
% 0.30/0.47 ( setminusEL
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( setminus @ A @ B ) )
% 0.30/0.47 => ( in @ Xx @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setminusER_type,type,
% 0.30/0.47 setminusER: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusER,definition,
% 0.30/0.47 ( setminusER
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( setminus @ A @ B ) )
% 0.30/0.47 => ~ ( in @ Xx @ B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setminusSubset2_type,type,
% 0.30/0.47 setminusSubset2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusSubset2,definition,
% 0.30/0.47 ( setminusSubset2
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( subset @ A @ B )
% 0.30/0.47 => ( ( setminus @ A @ B )
% 0.30/0.47 = emptyset ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setminusERneg_type,type,
% 0.30/0.47 setminusERneg: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusERneg,definition,
% 0.30/0.47 ( setminusERneg
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ~ ( in @ Xx @ ( setminus @ A @ B ) )
% 0.30/0.47 => ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ Xx @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setminusELneg_type,type,
% 0.30/0.47 setminusELneg: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusELneg,definition,
% 0.30/0.47 ( setminusELneg
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ~ ( in @ Xx @ ( setminus @ A @ B ) )
% 0.30/0.47 => ( ~ ( in @ Xx @ B )
% 0.30/0.47 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setminusILneg_type,type,
% 0.30/0.47 setminusILneg: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusILneg,definition,
% 0.30/0.47 ( setminusILneg
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ~ ( in @ Xx @ A )
% 0.30/0.47 => ~ ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setminusIRneg_type,type,
% 0.30/0.47 setminusIRneg: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusIRneg,definition,
% 0.30/0.47 ( setminusIRneg
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ B )
% 0.30/0.47 => ~ ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setminusLsub_type,type,
% 0.30/0.47 setminusLsub: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusLsub,definition,
% 0.30/0.47 ( setminusLsub
% 0.30/0.47 = ( ! [A: $i,B: $i] : ( subset @ ( setminus @ A @ B ) @ A ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setminusSubset1_type,type,
% 0.30/0.47 setminusSubset1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setminusSubset1,definition,
% 0.30/0.47 ( setminusSubset1
% 0.30/0.47 = ( ! [A: $i,B: $i] :
% 0.30/0.47 ( ( ( setminus @ A @ B )
% 0.30/0.47 = emptyset )
% 0.30/0.47 => ( subset @ A @ B ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(symdiff_type,type,
% 0.30/0.47 symdiff: $i > $i > $i ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffE_type,type,
% 0.30/0.47 symdiffE: $o ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffE,definition,
% 0.30/0.47 ( symdiffE
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( symdiff @ A @ B ) )
% 0.30/0.47 => ! [Xphi: $o] :
% 0.30/0.47 ( ( ( in @ Xx @ A )
% 0.30/0.47 => ( ~ ( in @ Xx @ B )
% 0.30/0.47 => Xphi ) )
% 0.30/0.47 => ( ( ~ ( in @ Xx @ A )
% 0.30/0.47 => ( ( in @ Xx @ B )
% 0.30/0.47 => Xphi ) )
% 0.30/0.47 => Xphi ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffI1_type,type,
% 0.30/0.47 symdiffI1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffI1,definition,
% 0.30/0.47 ( symdiffI1
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( ~ ( in @ Xx @ B )
% 0.30/0.47 => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffI2_type,type,
% 0.30/0.47 symdiffI2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffI2,definition,
% 0.30/0.47 ( symdiffI2
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ~ ( in @ Xx @ A )
% 0.30/0.47 => ( ( in @ Xx @ B )
% 0.30/0.47 => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffIneg1_type,type,
% 0.30/0.47 symdiffIneg1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffIneg1,definition,
% 0.30/0.47 ( symdiffIneg1
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( ( in @ Xx @ B )
% 0.30/0.47 => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffIneg2_type,type,
% 0.30/0.47 symdiffIneg2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(symdiffIneg2,definition,
% 0.30/0.47 ( symdiffIneg2
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ~ ( in @ Xx @ A )
% 0.30/0.47 => ( ~ ( in @ Xx @ B )
% 0.30/0.47 => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(iskpair_type,type,
% 0.30/0.47 iskpair: $i > $o ).
% 0.30/0.47
% 0.30/0.47 thf(iskpair,definition,
% 0.30/0.47 ( iskpair
% 0.30/0.47 = ( ^ [A: $i] :
% 0.30/0.47 ? [Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ ( setunion @ A ) )
% 0.30/0.47 & ? [Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ ( setunion @ A ) )
% 0.30/0.47 & ( A
% 0.30/0.47 = ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(secondinupair_type,type,
% 0.30/0.47 secondinupair: $o ).
% 0.30/0.47
% 0.30/0.47 thf(secondinupair,definition,
% 0.30/0.47 ( secondinupair
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setukpairIL_type,type,
% 0.30/0.47 setukpairIL: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setukpairIL,definition,
% 0.30/0.47 ( setukpairIL
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setunion @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(setukpairIR_type,type,
% 0.30/0.47 setukpairIR: $o ).
% 0.30/0.47
% 0.30/0.47 thf(setukpairIR,definition,
% 0.30/0.47 ( setukpairIR
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setunion @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(kpairiskpair_type,type,
% 0.30/0.47 kpairiskpair: $o ).
% 0.30/0.47
% 0.30/0.47 thf(kpairiskpair,definition,
% 0.30/0.47 ( kpairiskpair
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(kpair_type,type,
% 0.30/0.47 kpair: $i > $i > $i ).
% 0.30/0.47
% 0.30/0.47 thf(kpair,definition,
% 0.30/0.47 ( kpair
% 0.30/0.47 = ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(kpairp_type,type,
% 0.30/0.47 kpairp: $o ).
% 0.30/0.47
% 0.30/0.47 thf(kpairp,definition,
% 0.30/0.47 ( kpairp
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( kpair @ Xx @ Xy ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(cartprod_type,type,
% 0.30/0.47 cartprod: $i > $i > $i ).
% 0.30/0.47
% 0.30/0.47 thf(singletonsubset_type,type,
% 0.30/0.47 singletonsubset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(singletonsubset,definition,
% 0.30/0.47 ( singletonsubset
% 0.30/0.47 = ( ! [A: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(singletoninpowerset_type,type,
% 0.30/0.47 singletoninpowerset: $o ).
% 0.30/0.47
% 0.30/0.47 thf(singletoninpowerset,definition,
% 0.30/0.47 ( singletoninpowerset
% 0.30/0.47 = ( ! [A: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(singletoninpowunion_type,type,
% 0.30/0.47 singletoninpowunion: $o ).
% 0.30/0.47
% 0.30/0.47 thf(singletoninpowunion,definition,
% 0.30/0.47 ( singletoninpowunion
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(upairset2E_type,type,
% 0.30/0.47 upairset2E: $o ).
% 0.30/0.47
% 0.30/0.47 thf(upairset2E,definition,
% 0.30/0.47 ( upairset2E
% 0.30/0.47 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.30/0.47 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.30/0.47 => ( ( Xz = Xx )
% 0.30/0.47 | ( Xz = Xy ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(upairsubunion_type,type,
% 0.30/0.47 upairsubunion: $o ).
% 0.30/0.47
% 0.30/0.47 thf(upairsubunion,definition,
% 0.30/0.47 ( upairsubunion
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ! [Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ B )
% 0.30/0.47 => ( subset @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( binunion @ A @ B ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(upairinpowunion_type,type,
% 0.30/0.47 upairinpowunion: $o ).
% 0.30/0.47
% 0.30/0.47 thf(upairinpowunion,definition,
% 0.30/0.47 ( upairinpowunion
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ! [Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ B )
% 0.30/0.47 => ( in @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(ubforcartprodlem1_type,type,
% 0.30/0.47 ubforcartprodlem1: $o ).
% 0.30/0.47
% 0.30/0.47 thf(ubforcartprodlem1,definition,
% 0.30/0.47 ( ubforcartprodlem1
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ! [Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ B )
% 0.30/0.47 => ( subset @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(ubforcartprodlem2_type,type,
% 0.30/0.47 ubforcartprodlem2: $o ).
% 0.30/0.47
% 0.30/0.47 thf(ubforcartprodlem2,definition,
% 0.30/0.47 ( ubforcartprodlem2
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.47 => ! [Xy: $i] :
% 0.30/0.47 ( ( in @ Xy @ B )
% 0.30/0.47 => ( in @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(ubforcartprodlem3_type,type,
% 0.30/0.47 ubforcartprodlem3: $o ).
% 0.30/0.47
% 0.30/0.47 thf(ubforcartprodlem3,definition,
% 0.30/0.47 ( ubforcartprodlem3
% 0.30/0.47 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.47 ( ( in @ Xx @ A )
% 0.30/0.48 => ! [Xy: $i] :
% 0.30/0.48 ( ( in @ Xy @ B )
% 0.30/0.48 => ( in @ ( kpair @ Xx @ Xy ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
% 0.30/0.48
% 0.30/0.48 thf(cartprodpairin_type,type,
% 0.30/0.48 cartprodpairin: $o ).
% 0.30/0.48
% 0.30/0.48 thf(cartprodpairin,definition,
% 0.30/0.48 ( cartprodpairin
% 0.30/0.48 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.30/0.48 ( ( in @ Xx @ A )
% 0.30/0.48 => ! [Xy: $i] :
% 0.30/0.48 ( ( in @ Xy @ B )
% 0.30/0.48 => ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) ) ) ) ) ).
% 0.30/0.48
% 0.30/0.48 thf(cartprodmempair1_type,type,
% 0.30/0.48 cartprodmempair1: $o ).
% 0.30/0.48
% 0.30/0.48 thf(cartprodmempair1,definition,
% 0.30/0.48 ( cartprodmempair1
% 0.30/0.48 = ( ! [A: $i,B: $i,Xu: $i] :
% 0.30/0.48 ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 0.30/0.48 => ? [Xx: $i] :
% 0.30/0.48 ( ( in @ Xx @ A )
% 0.30/0.48 & ? [Xy: $i] :
% 0.30/0.48 ( ( in @ Xy @ B )
% 0.30/0.48 & ( Xu
% 0.30/0.48 = ( kpair @ Xx @ Xy ) ) ) ) ) ) ) ).
% 0.30/0.48
% 0.30/0.48 thf(cartprodmempair_type,type,
% 0.30/0.48 cartprodmempair: $o ).
% 0.30/0.48
% 0.30/0.48 thf(cartprodmempair,definition,
% 0.30/0.48 ( cartprodmempair
% 0.30/0.48 = ( ! [A: $i,B: $i,Xu: $i] :
% 0.30/0.48 ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 0.30/0.48 => ( iskpair @ Xu ) ) ) ) ).
% 0.30/0.48
% 0.30/0.48 thf(setunionE2_type,type,
% 0.30/0.48 setunionE2: $o ).
% 0.30/0.48
% 0.30/0.48 thf(setunionE2,definition,
% 0.30/0.48 ( setunionE2
% 0.30/0.48 = ( ! [A: $i,Xx: $i] :
% 0.30/0.48 ( ( in @ Xx @ ( setunion @ A ) )
% 0.30/0.48 => ? [X: $i] :
% 0.30/0.48 ( ( in @ X @ A )
% 0.30/0.48 & ( in @ Xx @ X ) ) ) ) ) ).
% 0.30/0.48
% 0.30/0.48 thf(setunionsingleton1,conjecture,
% 0.30/0.48 ( setextAx
% 0.30/0.48 => ( emptysetAx
% 0.30/0.48 => ( setadjoinAx
% 0.30/0.48 => ( powersetAx
% 0.30/0.48 => ( setunionAx
% 0.30/0.48 => ( omega0Ax
% 0.30/0.48 => ( omegaSAx
% 0.30/0.48 => ( omegaIndAx
% 0.30/0.48 => ( replAx
% 0.30/0.48 => ( foundationAx
% 0.30/0.48 => ( wellorderingAx
% 0.30/0.48 => ( descrp
% 0.30/0.48 => ( dsetconstrI
% 0.30/0.48 => ( dsetconstrEL
% 0.30/0.48 => ( dsetconstrER
% 0.30/0.48 => ( exuE1
% 0.30/0.48 => ( prop2setE
% 0.30/0.48 => ( emptysetE
% 0.30/0.48 => ( emptysetimpfalse
% 0.30/0.48 => ( notinemptyset
% 0.30/0.48 => ( exuE3e
% 0.30/0.48 => ( setext
% 0.30/0.48 => ( emptyI
% 0.30/0.48 => ( noeltsimpempty
% 0.30/0.48 => ( setbeta
% 0.30/0.48 => ( nonemptyE1
% 0.30/0.48 => ( nonemptyI
% 0.30/0.48 => ( nonemptyI1
% 0.30/0.48 => ( setadjoinIL
% 0.30/0.48 => ( emptyinunitempty
% 0.30/0.48 => ( setadjoinIR
% 0.30/0.48 => ( setadjoinE
% 0.30/0.48 => ( setadjoinOr
% 0.30/0.48 => ( setoftrueEq
% 0.30/0.48 => ( powersetI
% 0.30/0.48 => ( emptyinPowerset
% 0.30/0.48 => ( emptyInPowerset
% 0.30/0.48 => ( powersetE
% 0.30/0.48 => ( setunionI
% 0.30/0.48 => ( setunionE
% 0.30/0.48 => ( subPowSU
% 0.30/0.48 => ( exuE2
% 0.30/0.48 => ( nonemptyImpWitness
% 0.30/0.48 => ( uniqinunit
% 0.30/0.48 => ( notinsingleton
% 0.30/0.48 => ( eqinunit
% 0.30/0.48 => ( singletonsswitch
% 0.30/0.48 => ( upairsetE
% 0.30/0.48 => ( upairsetIL
% 0.30/0.48 => ( upairsetIR
% 0.30/0.48 => ( emptyE1
% 0.30/0.48 => ( vacuousDall
% 0.30/0.48 => ( quantDeMorgan1
% 0.30/0.48 => ( quantDeMorgan2
% 0.30/0.48 => ( quantDeMorgan3
% 0.30/0.48 => ( quantDeMorgan4
% 0.30/0.48 => ( prop2setI
% 0.30/0.48 => ( prop2set2propI
% 0.30/0.48 => ( notdexE
% 0.30/0.48 => ( notdallE
% 0.30/0.48 => ( exuI1
% 0.30/0.48 => ( exuI3
% 0.30/0.48 => ( exuI2
% 0.30/0.48 => ( inCongP
% 0.30/0.48 => ( in__Cong
% 0.30/0.48 => ( exuE3u
% 0.30/0.48 => ( exu__Cong
% 0.30/0.48 => ( emptyset__Cong
% 0.30/0.48 => ( setadjoin__Cong
% 0.30/0.48 => ( powerset__Cong
% 0.30/0.48 => ( setunion__Cong
% 0.30/0.48 => ( omega__Cong
% 0.30/0.48 => ( exuEu
% 0.30/0.48 => ( descr__Cong
% 0.30/0.48 => ( dsetconstr__Cong
% 0.30/0.48 => ( subsetI1
% 0.30/0.48 => ( eqimpsubset2
% 0.30/0.48 => ( eqimpsubset1
% 0.30/0.48 => ( subsetI2
% 0.30/0.48 => ( emptysetsubset
% 0.30/0.48 => ( subsetE
% 0.30/0.48 => ( subsetE2
% 0.30/0.48 => ( notsubsetI
% 0.30/0.48 => ( notequalI1
% 0.30/0.48 => ( notequalI2
% 0.30/0.48 => ( subsetRefl
% 0.30/0.48 => ( subsetTrans
% 0.30/0.48 => ( setadjoinSub
% 0.30/0.48 => ( setadjoinSub2
% 0.30/0.48 => ( subset2powerset
% 0.30/0.48 => ( setextsub
% 0.30/0.48 => ( subsetemptysetimpeq
% 0.30/0.48 => ( powersetI1
% 0.30/0.48 => ( powersetE1
% 0.30/0.48 => ( inPowerset
% 0.30/0.48 => ( powersetsubset
% 0.30/0.48 => ( sepInPowerset
% 0.30/0.48 => ( sepSubset
% 0.30/0.48 => ( binunionIL
% 0.30/0.48 => ( upairset2IR
% 0.30/0.48 => ( binunionIR
% 0.30/0.48 => ( binunionEcases
% 0.30/0.48 => ( binunionE
% 0.30/0.48 => ( binunionLsub
% 0.30/0.48 => ( binunionRsub
% 0.30/0.48 => ( binintersectI
% 0.30/0.48 => ( binintersectSubset5
% 0.30/0.48 => ( binintersectEL
% 0.30/0.48 => ( binintersectLsub
% 0.30/0.48 => ( binintersectSubset2
% 0.30/0.48 => ( binintersectSubset3
% 0.30/0.48 => ( binintersectER
% 0.30/0.48 => ( disjointsetsI1
% 0.30/0.48 => ( binintersectRsub
% 0.30/0.48 => ( binintersectSubset4
% 0.30/0.48 => ( binintersectSubset1
% 0.30/0.48 => ( bs114d
% 0.30/0.48 => ( setminusI
% 0.30/0.48 => ( setminusEL
% 0.30/0.48 => ( setminusER
% 0.30/0.48 => ( setminusSubset2
% 0.30/0.48 => ( setminusERneg
% 0.30/0.48 => ( setminusELneg
% 0.30/0.48 => ( setminusILneg
% 0.30/0.48 => ( setminusIRneg
% 0.30/0.48 => ( setminusLsub
% 0.30/0.48 => ( setminusSubset1
% 0.30/0.48 => ( symdiffE
% 0.30/0.48 => ( symdiffI1
% 0.30/0.48 => ( symdiffI2
% 0.30/0.48 => ( symdiffIneg1
% 0.30/0.48 => ( symdiffIneg2
% 0.30/0.48 => ( secondinupair
% 0.30/0.48 => ( setukpairIL
% 0.30/0.48 => ( setukpairIR
% 0.30/0.48 => ( kpairiskpair
% 0.30/0.48 => ( kpairp
% 0.30/0.48 => ( singletonsubset
% 0.30/0.48 => ( singletoninpowerset
% 0.30/0.48 => ( singletoninpowunion
% 0.30/0.48 => ( upairset2E
% 0.30/0.48 => ( upairsubunion
% 0.30/0.48 => ( upairinpowunion
% 0.30/0.48 => ( ubforcartprodlem1
% 0.30/0.48 => ( ubforcartprodlem2
% 0.30/0.48 => ( ubforcartprodlem3
% 0.30/0.48 => ( cartprodpairin
% 0.30/0.48 => ( cartprodmempair1
% 0.30/0.48 => ( cartprodmempair
% 0.30/0.48 => ( setunionE2
% 0.30/0.48 => ! [A: $i] : ( subset @ ( setunion @ ( setadjoin @ A @ emptyset ) ) @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.30/0.48
% 0.30/0.48 %------------------------------------------------------------------------------
% 0.30/0.48 ------------------------
% 2.51/1.57 ---- Embedded in THF ---
% 2.51/1.57 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.51/1.57 %%% Generated on Tue Feb 24 12:29:51 EST 2026
% 2.51/1.57 %%% using '$$dhol' embedding, version 1.3.0.
% 2.51/1.57 %%% Logic specification used:
% 2.51/1.57 %%% thf(spec, logic, $$dhol).
% 2.51/1.57
% 2.51/1.57 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2DTF24989.p
% See solution above
% 2.51/1.57 ------------------------
% 2.68/1.60 ---- Cleaned THF ---
% 2.68/1.60 thf(in_type,type,
% 2.68/1.60 in: $i > $i > $o ).
% 2.68/1.60
% 2.68/1.60 thf(exu_type,type,
% 2.68/1.60 exu: ( $i > $o ) > $o ).
% 2.68/1.60
% 2.68/1.60 thf(exu,definition,
% 2.68/1.60 ( exu
% 2.68/1.60 = ( ^ [Xphi: $i > $o] :
% 2.68/1.60 ? [Xx: $i] :
% 2.68/1.60 ( ( Xphi @ Xx )
% 2.68/1.60 & ! [Xy: $i] :
% 2.68/1.60 ( ( Xphi @ Xy )
% 2.68/1.60 => ( Xx = Xy ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setextAx_type,type,
% 2.68/1.60 setextAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setextAx,definition,
% 2.68/1.60 ( setextAx
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 <=> ( in @ Xx @ B ) )
% 2.68/1.60 => ( A = B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptyset_type,type,
% 2.68/1.60 emptyset: $i ).
% 2.68/1.60
% 2.68/1.60 thf(emptysetAx_type,type,
% 2.68/1.60 emptysetAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptysetAx,definition,
% 2.68/1.60 ( emptysetAx
% 2.68/1.60 = ( ! [Xx: $i] :
% 2.68/1.60 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoin_type,type,
% 2.68/1.60 setadjoin: $i > $i > $i ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinAx_type,type,
% 2.68/1.60 setadjoinAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinAx,definition,
% 2.68/1.60 ( setadjoinAx
% 2.68/1.60 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.68/1.60 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.68/1.60 <=> ( ( Xy = Xx )
% 2.68/1.60 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(powerset_type,type,
% 2.68/1.60 powerset: $i > $i ).
% 2.68/1.60
% 2.68/1.60 thf(powersetAx_type,type,
% 2.68/1.60 powersetAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(powersetAx,definition,
% 2.68/1.60 ( powersetAx
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( in @ B @ ( powerset @ A ) )
% 2.68/1.60 <=> ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ B )
% 2.68/1.60 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setunion_type,type,
% 2.68/1.60 setunion: $i > $i ).
% 2.68/1.60
% 2.68/1.60 thf(setunionAx_type,type,
% 2.68/1.60 setunionAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setunionAx,definition,
% 2.68/1.60 ( setunionAx
% 2.68/1.60 = ( ! [A: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ ( setunion @ A ) )
% 2.68/1.60 <=> ? [B: $i] :
% 2.68/1.60 ( ( in @ Xx @ B )
% 2.68/1.60 & ( in @ B @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(omega_type,type,
% 2.68/1.60 omega: $i ).
% 2.68/1.60
% 2.68/1.60 thf(omega0Ax_type,type,
% 2.68/1.60 omega0Ax: $o ).
% 2.68/1.60
% 2.68/1.60 thf(omega0Ax,definition,
% 2.68/1.60 ( omega0Ax
% 2.68/1.60 = ( in @ emptyset @ omega ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(omegaSAx_type,type,
% 2.68/1.60 omegaSAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(omegaSAx,definition,
% 2.68/1.60 ( omegaSAx
% 2.68/1.60 = ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ omega )
% 2.68/1.60 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(omegaIndAx_type,type,
% 2.68/1.60 omegaIndAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(omegaIndAx,definition,
% 2.68/1.60 ( omegaIndAx
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ( ( ( in @ emptyset @ A )
% 2.68/1.60 & ! [Xx: $i] :
% 2.68/1.60 ( ( ( in @ Xx @ omega )
% 2.68/1.60 & ( in @ Xx @ A ) )
% 2.68/1.60 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 2.68/1.60 => ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ omega )
% 2.68/1.60 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(replAx_type,type,
% 2.68/1.60 replAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(replAx,definition,
% 2.68/1.60 ( replAx
% 2.68/1.60 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( exu
% 2.68/1.60 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 2.68/1.60 => ? [B: $i] :
% 2.68/1.60 ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ B )
% 2.68/1.60 <=> ? [Xy: $i] :
% 2.68/1.60 ( ( in @ Xy @ A )
% 2.68/1.60 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(foundationAx_type,type,
% 2.68/1.60 foundationAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(foundationAx,definition,
% 2.68/1.60 ( foundationAx
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.68/1.60 => ? [B: $i] :
% 2.68/1.60 ( ( in @ B @ A )
% 2.68/1.60 & ~ ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ B )
% 2.68/1.60 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(wellorderingAx_type,type,
% 2.68/1.60 wellorderingAx: $o ).
% 2.68/1.60
% 2.68/1.60 thf(wellorderingAx,definition,
% 2.68/1.60 ( wellorderingAx
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ? [B: $i] :
% 2.68/1.60 ( ! [C: $i] :
% 2.68/1.60 ( ( in @ C @ B )
% 2.68/1.60 => ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ C )
% 2.68/1.60 => ( in @ Xx @ A ) ) )
% 2.68/1.60 & ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( ( in @ Xx @ A )
% 2.68/1.60 & ( in @ Xy @ A ) )
% 2.68/1.60 => ( ! [C: $i] :
% 2.68/1.60 ( ( in @ C @ B )
% 2.68/1.60 => ( ( in @ Xx @ C )
% 2.68/1.60 <=> ( in @ Xy @ C ) ) )
% 2.68/1.60 => ( Xx = Xy ) ) )
% 2.68/1.60 & ! [C: $i,D: $i] :
% 2.68/1.60 ( ( ( in @ C @ B )
% 2.68/1.60 & ( in @ D @ B ) )
% 2.68/1.60 => ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ C )
% 2.68/1.60 => ( in @ Xx @ D ) )
% 2.68/1.60 | ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ D )
% 2.68/1.60 => ( in @ Xx @ C ) ) ) )
% 2.68/1.60 & ! [C: $i] :
% 2.68/1.60 ( ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ C )
% 2.68/1.60 => ( in @ Xx @ A ) )
% 2.68/1.60 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 2.68/1.60 => ? [D: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ D @ B )
% 2.68/1.60 & ( in @ Xx @ C )
% 2.68/1.60 & ~ ? [Xy: $i] :
% 2.68/1.60 ( ( in @ Xy @ D )
% 2.68/1.60 & ( in @ Xy @ C ) )
% 2.68/1.60 & ! [E: $i] :
% 2.68/1.60 ( ( in @ E @ B )
% 2.68/1.60 => ( ! [Xy: $i] :
% 2.68/1.60 ( ( in @ Xy @ E )
% 2.68/1.60 => ( in @ Xy @ D ) )
% 2.68/1.60 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(descr_type,type,
% 2.68/1.60 descr: ( $i > $o ) > $i ).
% 2.68/1.60
% 2.68/1.60 thf(descrp_type,type,
% 2.68/1.60 descrp: $o ).
% 2.68/1.60
% 2.68/1.60 thf(descrp,definition,
% 2.68/1.60 ( descrp
% 2.68/1.60 = ( ! [Xphi: $i > $o] :
% 2.68/1.60 ( ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 => ( Xphi
% 2.68/1.60 @ ( descr
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(dsetconstr_type,type,
% 2.68/1.60 dsetconstr: $i > ( $i > $o ) > $i ).
% 2.68/1.60
% 2.68/1.60 thf(dsetconstrI_type,type,
% 2.68/1.60 dsetconstrI: $o ).
% 2.68/1.60
% 2.68/1.60 thf(dsetconstrI,definition,
% 2.68/1.60 ( dsetconstrI
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( ( Xphi @ Xx )
% 2.68/1.60 => ( in @ Xx
% 2.68/1.60 @ ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(dsetconstrEL_type,type,
% 2.68/1.60 dsetconstrEL: $o ).
% 2.68/1.60
% 2.68/1.60 thf(dsetconstrEL,definition,
% 2.68/1.60 ( dsetconstrEL
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx
% 2.68/1.60 @ ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.68/1.60 => ( in @ Xx @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(dsetconstrER_type,type,
% 2.68/1.60 dsetconstrER: $o ).
% 2.68/1.60
% 2.68/1.60 thf(dsetconstrER,definition,
% 2.68/1.60 ( dsetconstrER
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx
% 2.68/1.60 @ ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.68/1.60 => ( Xphi @ Xx ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(exuE1_type,type,
% 2.68/1.60 exuE1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(exuE1,definition,
% 2.68/1.60 ( exuE1
% 2.68/1.60 = ( ! [Xphi: $i > $o] :
% 2.68/1.60 ( ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 => ? [Xx: $i] :
% 2.68/1.60 ( ( Xphi @ Xx )
% 2.68/1.60 & ! [Xy: $i] :
% 2.68/1.60 ( ( Xphi @ Xy )
% 2.68/1.60 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(prop2set_type,type,
% 2.68/1.60 prop2set: $o > $i ).
% 2.68/1.60
% 2.68/1.60 thf(prop2setE_type,type,
% 2.68/1.60 prop2setE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(prop2setE,definition,
% 2.68/1.60 ( prop2setE
% 2.68/1.60 = ( ! [Xphi: $o,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 2.68/1.60 => Xphi ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptysetE_type,type,
% 2.68/1.60 emptysetE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptysetE,definition,
% 2.68/1.60 ( emptysetE
% 2.68/1.60 = ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ emptyset )
% 2.68/1.60 => ! [Xphi: $o] : Xphi ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptysetimpfalse_type,type,
% 2.68/1.60 emptysetimpfalse: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptysetimpfalse,definition,
% 2.68/1.60 ( emptysetimpfalse
% 2.68/1.60 = ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ emptyset )
% 2.68/1.60 => $false ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(notinemptyset_type,type,
% 2.68/1.60 notinemptyset: $o ).
% 2.68/1.60
% 2.68/1.60 thf(notinemptyset,definition,
% 2.68/1.60 ( notinemptyset
% 2.68/1.60 = ( ! [Xx: $i] :
% 2.68/1.60 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(exuE3e_type,type,
% 2.68/1.60 exuE3e: $o ).
% 2.68/1.60
% 2.68/1.60 thf(exuE3e,definition,
% 2.68/1.60 ( exuE3e
% 2.68/1.60 = ( ! [Xphi: $i > $o] :
% 2.68/1.60 ( ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setext_type,type,
% 2.68/1.60 setext: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setext,definition,
% 2.68/1.60 ( setext
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( in @ Xx @ B ) )
% 2.68/1.60 => ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ B )
% 2.68/1.60 => ( in @ Xx @ A ) )
% 2.68/1.60 => ( A = B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptyI_type,type,
% 2.68/1.60 emptyI: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptyI,definition,
% 2.68/1.60 ( emptyI
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ~ ( in @ Xx @ A )
% 2.68/1.60 => ( A = emptyset ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(noeltsimpempty_type,type,
% 2.68/1.60 noeltsimpempty: $o ).
% 2.68/1.60
% 2.68/1.60 thf(noeltsimpempty,definition,
% 2.68/1.60 ( noeltsimpempty
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ~ ( in @ Xx @ A )
% 2.68/1.60 => ( A = emptyset ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setbeta_type,type,
% 2.68/1.60 setbeta: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setbeta,definition,
% 2.68/1.60 ( setbeta
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( ( in @ Xx
% 2.68/1.60 @ ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.68/1.60 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(nonempty_type,type,
% 2.68/1.60 nonempty: $i > $o ).
% 2.68/1.60
% 2.68/1.60 thf(nonempty,definition,
% 2.68/1.60 ( nonempty
% 2.68/1.60 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(nonemptyE1_type,type,
% 2.68/1.60 nonemptyE1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(nonemptyE1,definition,
% 2.68/1.60 ( nonemptyE1
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ( ( nonempty @ A )
% 2.68/1.60 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(nonemptyI_type,type,
% 2.68/1.60 nonemptyI: $o ).
% 2.68/1.60
% 2.68/1.60 thf(nonemptyI,definition,
% 2.68/1.60 ( nonemptyI
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( ( Xphi @ Xx )
% 2.68/1.60 => ( nonempty
% 2.68/1.60 @ ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(nonemptyI1_type,type,
% 2.68/1.60 nonemptyI1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(nonemptyI1,definition,
% 2.68/1.60 ( nonemptyI1
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.68/1.60 => ( nonempty @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinIL_type,type,
% 2.68/1.60 setadjoinIL: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinIL,definition,
% 2.68/1.60 ( setadjoinIL
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptyinunitempty_type,type,
% 2.68/1.60 emptyinunitempty: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptyinunitempty,definition,
% 2.68/1.60 ( emptyinunitempty
% 2.68/1.60 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinIR_type,type,
% 2.68/1.60 setadjoinIR: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinIR,definition,
% 2.68/1.60 ( setadjoinIR
% 2.68/1.60 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.68/1.60 ( ( in @ Xy @ A )
% 2.68/1.60 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinE_type,type,
% 2.68/1.60 setadjoinE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinE,definition,
% 2.68/1.60 ( setadjoinE
% 2.68/1.60 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.68/1.60 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.68/1.60 => ! [Xphi: $o] :
% 2.68/1.60 ( ( ( Xy = Xx )
% 2.68/1.60 => Xphi )
% 2.68/1.60 => ( ( ( in @ Xy @ A )
% 2.68/1.60 => Xphi )
% 2.68/1.60 => Xphi ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinOr_type,type,
% 2.68/1.60 setadjoinOr: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinOr,definition,
% 2.68/1.60 ( setadjoinOr
% 2.68/1.60 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.68/1.60 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.68/1.60 => ( ( Xy = Xx )
% 2.68/1.60 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setoftrueEq_type,type,
% 2.68/1.60 setoftrueEq: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setoftrueEq,definition,
% 2.68/1.60 ( setoftrueEq
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ( ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xx: $i] : $true )
% 2.68/1.60 = A ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(powersetI_type,type,
% 2.68/1.60 powersetI: $o ).
% 2.68/1.60
% 2.68/1.60 thf(powersetI,definition,
% 2.68/1.60 ( powersetI
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ B )
% 2.68/1.60 => ( in @ Xx @ A ) )
% 2.68/1.60 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptyinPowerset_type,type,
% 2.68/1.60 emptyinPowerset: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptyinPowerset,definition,
% 2.68/1.60 ( emptyinPowerset
% 2.68/1.60 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptyInPowerset_type,type,
% 2.68/1.60 emptyInPowerset: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptyInPowerset,definition,
% 2.68/1.60 ( emptyInPowerset
% 2.68/1.60 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(powersetE_type,type,
% 2.68/1.60 powersetE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(powersetE,definition,
% 2.68/1.60 ( powersetE
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ B @ ( powerset @ A ) )
% 2.68/1.60 => ( ( in @ Xx @ B )
% 2.68/1.60 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setunionI_type,type,
% 2.68/1.60 setunionI: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setunionI,definition,
% 2.68/1.60 ( setunionI
% 2.68/1.60 = ( ! [A: $i,Xx: $i,B: $i] :
% 2.68/1.60 ( ( in @ Xx @ B )
% 2.68/1.60 => ( ( in @ B @ A )
% 2.68/1.60 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setunionE_type,type,
% 2.68/1.60 setunionE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setunionE,definition,
% 2.68/1.60 ( setunionE
% 2.68/1.60 = ( ! [A: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ ( setunion @ A ) )
% 2.68/1.60 => ! [Xphi: $o] :
% 2.68/1.60 ( ! [B: $i] :
% 2.68/1.60 ( ( in @ Xx @ B )
% 2.68/1.60 => ( ( in @ B @ A )
% 2.68/1.60 => Xphi ) )
% 2.68/1.60 => Xphi ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(subPowSU_type,type,
% 2.68/1.60 subPowSU: $o ).
% 2.68/1.60
% 2.68/1.60 thf(subPowSU,definition,
% 2.68/1.60 ( subPowSU
% 2.68/1.60 = ( ! [A: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(exuE2_type,type,
% 2.68/1.60 exuE2: $o ).
% 2.68/1.60
% 2.68/1.60 thf(exuE2,definition,
% 2.68/1.60 ( exuE2
% 2.68/1.60 = ( ! [Xphi: $i > $o] :
% 2.68/1.60 ( ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 => ? [Xx: $i] :
% 2.68/1.60 ! [Xy: $i] :
% 2.68/1.60 ( ( Xphi @ Xy )
% 2.68/1.60 <=> ( Xy = Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(nonemptyImpWitness_type,type,
% 2.68/1.60 nonemptyImpWitness: $o ).
% 2.68/1.60
% 2.68/1.60 thf(nonemptyImpWitness,definition,
% 2.68/1.60 ( nonemptyImpWitness
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ( ( nonempty @ A )
% 2.68/1.60 => ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 & $true ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(uniqinunit_type,type,
% 2.68/1.60 uniqinunit: $o ).
% 2.68/1.60
% 2.68/1.60 thf(uniqinunit,definition,
% 2.68/1.60 ( uniqinunit
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.68/1.60 => ( Xx = Xy ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(notinsingleton_type,type,
% 2.68/1.60 notinsingleton: $o ).
% 2.68/1.60
% 2.68/1.60 thf(notinsingleton,definition,
% 2.68/1.60 ( notinsingleton
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xx != Xy )
% 2.68/1.60 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(eqinunit_type,type,
% 2.68/1.60 eqinunit: $o ).
% 2.68/1.60
% 2.68/1.60 thf(eqinunit,definition,
% 2.68/1.60 ( eqinunit
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xx = Xy )
% 2.68/1.60 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(singletonsswitch_type,type,
% 2.68/1.60 singletonsswitch: $o ).
% 2.68/1.60
% 2.68/1.60 thf(singletonsswitch,definition,
% 2.68/1.60 ( singletonsswitch
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.68/1.60 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(upairsetE_type,type,
% 2.68/1.60 upairsetE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(upairsetE,definition,
% 2.68/1.60 ( upairsetE
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.68/1.60 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 2.68/1.60 => ( ( Xz = Xx )
% 2.68/1.60 | ( Xz = Xy ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(upairsetIL_type,type,
% 2.68/1.60 upairsetIL: $o ).
% 2.68/1.60
% 2.68/1.60 thf(upairsetIL,definition,
% 2.68/1.60 ( upairsetIL
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(upairsetIR_type,type,
% 2.68/1.60 upairsetIR: $o ).
% 2.68/1.60
% 2.68/1.60 thf(upairsetIR,definition,
% 2.68/1.60 ( upairsetIR
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptyE1_type,type,
% 2.68/1.60 emptyE1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptyE1,definition,
% 2.68/1.60 ( emptyE1
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.68/1.60 ( ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 & ( Xphi @ Xx ) )
% 2.68/1.60 => ( ( ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 = emptyset )
% 2.68/1.60 => $false ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(vacuousDall_type,type,
% 2.68/1.60 vacuousDall: $o ).
% 2.68/1.60
% 2.68/1.60 thf(vacuousDall,definition,
% 2.68/1.60 ( vacuousDall
% 2.68/1.60 = ( ! [Xphi: $i > $o,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ emptyset )
% 2.68/1.60 => ( Xphi @ Xx ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(quantDeMorgan1_type,type,
% 2.68/1.60 quantDeMorgan1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(quantDeMorgan1,definition,
% 2.68/1.60 ( quantDeMorgan1
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.68/1.60 ( ~ ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( Xphi @ Xx ) )
% 2.68/1.60 => ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(quantDeMorgan2_type,type,
% 2.68/1.60 quantDeMorgan2: $o ).
% 2.68/1.60
% 2.68/1.60 thf(quantDeMorgan2,definition,
% 2.68/1.60 ( quantDeMorgan2
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ~ ( Xphi @ Xx ) )
% 2.68/1.60 => ~ ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 & ( Xphi @ Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(quantDeMorgan3_type,type,
% 2.68/1.60 quantDeMorgan3: $o ).
% 2.68/1.60
% 2.68/1.60 thf(quantDeMorgan3,definition,
% 2.68/1.60 ( quantDeMorgan3
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.68/1.60 ( ~ ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 & ( Xphi @ Xx ) )
% 2.68/1.60 => ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(quantDeMorgan4_type,type,
% 2.68/1.60 quantDeMorgan4: $o ).
% 2.68/1.60
% 2.68/1.60 thf(quantDeMorgan4,definition,
% 2.68/1.60 ( quantDeMorgan4
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.68/1.60 ( ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 & ~ ( Xphi @ Xx ) )
% 2.68/1.60 => ~ ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( Xphi @ Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(prop2setI_type,type,
% 2.68/1.60 prop2setI: $o ).
% 2.68/1.60
% 2.68/1.60 thf(prop2setI,definition,
% 2.68/1.60 ( prop2setI
% 2.68/1.60 = ( ! [Xphi: $o] :
% 2.68/1.60 ( Xphi
% 2.68/1.60 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(set2prop_type,type,
% 2.68/1.60 set2prop: $i > $o ).
% 2.68/1.60
% 2.68/1.60 thf(prop2set2propI_type,type,
% 2.68/1.60 prop2set2propI: $o ).
% 2.68/1.60
% 2.68/1.60 thf(prop2set2propI,definition,
% 2.68/1.60 ( prop2set2propI
% 2.68/1.60 = ( ! [Xphi: $o] :
% 2.68/1.60 ( Xphi
% 2.68/1.60 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(notdexE_type,type,
% 2.68/1.60 notdexE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(notdexE,definition,
% 2.68/1.60 ( notdexE
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.68/1.60 ( ~ ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 & ( Xphi @ Xx ) )
% 2.68/1.60 => ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(notdallE_type,type,
% 2.68/1.60 notdallE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(notdallE,definition,
% 2.68/1.60 ( notdallE
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.68/1.60 ( ~ ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( Xphi @ Xx ) )
% 2.68/1.60 => ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(exuI1_type,type,
% 2.68/1.60 exuI1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(exuI1,definition,
% 2.68/1.60 ( exuI1
% 2.68/1.60 = ( ! [Xphi: $i > $o] :
% 2.68/1.60 ( ? [Xx: $i] :
% 2.68/1.60 ( ( Xphi @ Xx )
% 2.68/1.60 & ! [Xy: $i] :
% 2.68/1.60 ( ( Xphi @ Xy )
% 2.68/1.60 => ( Xx = Xy ) ) )
% 2.68/1.60 => ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(exuI3_type,type,
% 2.68/1.60 exuI3: $o ).
% 2.68/1.60
% 2.68/1.60 thf(exuI3,definition,
% 2.68/1.60 ( exuI3
% 2.68/1.60 = ( ! [Xphi: $i > $o] :
% 2.68/1.60 ( ? [Xx: $i] : ( Xphi @ Xx )
% 2.68/1.60 => ( ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xphi @ Xx )
% 2.68/1.60 => ( ( Xphi @ Xy )
% 2.68/1.60 => ( Xx = Xy ) ) )
% 2.68/1.60 => ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(exuI2_type,type,
% 2.68/1.60 exuI2: $o ).
% 2.68/1.60
% 2.68/1.60 thf(exuI2,definition,
% 2.68/1.60 ( exuI2
% 2.68/1.60 = ( ! [Xphi: $i > $o] :
% 2.68/1.60 ( ? [Xx: $i] :
% 2.68/1.60 ! [Xy: $i] :
% 2.68/1.60 ( ( Xphi @ Xy )
% 2.68/1.60 <=> ( Xy = Xx ) )
% 2.68/1.60 => ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(inCongP_type,type,
% 2.68/1.60 inCongP: $o ).
% 2.68/1.60
% 2.68/1.60 thf(inCongP,definition,
% 2.68/1.60 ( inCongP
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( A = B )
% 2.68/1.60 => ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xx = Xy )
% 2.68/1.60 => ( ( in @ Xx @ A )
% 2.68/1.60 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(in__Cong_type,type,
% 2.68/1.60 in__Cong: $o ).
% 2.68/1.60
% 2.68/1.60 thf(in__Cong,definition,
% 2.68/1.60 ( in__Cong
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( A = B )
% 2.68/1.60 => ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xx = Xy )
% 2.68/1.60 => ( ( in @ Xx @ A )
% 2.68/1.60 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(exuE3u_type,type,
% 2.68/1.60 exuE3u: $o ).
% 2.68/1.60
% 2.68/1.60 thf(exuE3u,definition,
% 2.68/1.60 ( exuE3u
% 2.68/1.60 = ( ! [Xphi: $i > $o] :
% 2.68/1.60 ( ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 => ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xphi @ Xx )
% 2.68/1.60 => ( ( Xphi @ Xy )
% 2.68/1.60 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(exu__Cong_type,type,
% 2.68/1.60 exu__Cong: $o ).
% 2.68/1.60
% 2.68/1.60 thf(exu__Cong,definition,
% 2.68/1.60 ( exu__Cong
% 2.68/1.60 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.68/1.60 ( ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xx = Xy )
% 2.68/1.60 => ( ( Xphi @ Xx )
% 2.68/1.60 <=> ( Xpsi @ Xy ) ) )
% 2.68/1.60 => ( ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 <=> ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptyset__Cong_type,type,
% 2.68/1.60 emptyset__Cong: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptyset__Cong,definition,
% 2.68/1.60 ( emptyset__Cong
% 2.68/1.60 = ( emptyset = emptyset ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoin__Cong_type,type,
% 2.68/1.60 setadjoin__Cong: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoin__Cong,definition,
% 2.68/1.60 ( setadjoin__Cong
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xx = Xy )
% 2.68/1.60 => ! [Xz: $i,Xu: $i] :
% 2.68/1.60 ( ( Xz = Xu )
% 2.68/1.60 => ( ( setadjoin @ Xx @ Xz )
% 2.68/1.60 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(powerset__Cong_type,type,
% 2.68/1.60 powerset__Cong: $o ).
% 2.68/1.60
% 2.68/1.60 thf(powerset__Cong,definition,
% 2.68/1.60 ( powerset__Cong
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( A = B )
% 2.68/1.60 => ( ( powerset @ A )
% 2.68/1.60 = ( powerset @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setunion__Cong_type,type,
% 2.68/1.60 setunion__Cong: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setunion__Cong,definition,
% 2.68/1.60 ( setunion__Cong
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( A = B )
% 2.68/1.60 => ( ( setunion @ A )
% 2.68/1.60 = ( setunion @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(omega__Cong_type,type,
% 2.68/1.60 omega__Cong: $o ).
% 2.68/1.60
% 2.68/1.60 thf(omega__Cong,definition,
% 2.68/1.60 ( omega__Cong
% 2.68/1.60 = ( omega = omega ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(exuEu_type,type,
% 2.68/1.60 exuEu: $o ).
% 2.68/1.60
% 2.68/1.60 thf(exuEu,definition,
% 2.68/1.60 ( exuEu
% 2.68/1.60 = ( ! [Xphi: $i > $o] :
% 2.68/1.60 ( ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 => ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xphi @ Xx )
% 2.68/1.60 => ( ( Xphi @ Xy )
% 2.68/1.60 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(descr__Cong_type,type,
% 2.68/1.60 descr__Cong: $o ).
% 2.68/1.60
% 2.68/1.60 thf(descr__Cong,definition,
% 2.68/1.60 ( descr__Cong
% 2.68/1.60 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.68/1.60 ( ! [Xx: $i,Xy: $i] :
% 2.68/1.60 ( ( Xx = Xy )
% 2.68/1.60 => ( ( Xphi @ Xx )
% 2.68/1.60 <=> ( Xpsi @ Xy ) ) )
% 2.68/1.60 => ( ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 => ( ( exu
% 2.68/1.60 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 2.68/1.60 => ( ( descr
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 = ( descr
% 2.68/1.60 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(dsetconstr__Cong_type,type,
% 2.68/1.60 dsetconstr__Cong: $o ).
% 2.68/1.60
% 2.68/1.60 thf(dsetconstr__Cong,definition,
% 2.68/1.60 ( dsetconstr__Cong
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( A = B )
% 2.68/1.60 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ! [Xy: $i] :
% 2.68/1.60 ( ( in @ Xy @ B )
% 2.68/1.60 => ( ( Xx = Xy )
% 2.68/1.60 => ( ( Xphi @ Xx )
% 2.68/1.60 <=> ( Xpsi @ Xy ) ) ) ) )
% 2.68/1.60 => ( ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 = ( dsetconstr @ B
% 2.68/1.60 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(subset_type,type,
% 2.68/1.60 subset: $i > $i > $o ).
% 2.68/1.60
% 2.68/1.60 thf(disjoint_type,type,
% 2.68/1.60 disjoint: $i > $i > $o ).
% 2.68/1.60
% 2.68/1.60 thf(setsmeet_type,type,
% 2.68/1.60 setsmeet: $i > $i > $o ).
% 2.68/1.60
% 2.68/1.60 thf(subsetI1_type,type,
% 2.68/1.60 subsetI1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(subsetI1,definition,
% 2.68/1.60 ( subsetI1
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( in @ Xx @ B ) )
% 2.68/1.60 => ( subset @ A @ B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(eqimpsubset2_type,type,
% 2.68/1.60 eqimpsubset2: $o ).
% 2.68/1.60
% 2.68/1.60 thf(eqimpsubset2,definition,
% 2.68/1.60 ( eqimpsubset2
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( A = B )
% 2.68/1.60 => ( subset @ B @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(eqimpsubset1_type,type,
% 2.68/1.60 eqimpsubset1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(eqimpsubset1,definition,
% 2.68/1.60 ( eqimpsubset1
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( A = B )
% 2.68/1.60 => ( subset @ A @ B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(subsetI2_type,type,
% 2.68/1.60 subsetI2: $o ).
% 2.68/1.60
% 2.68/1.60 thf(subsetI2,definition,
% 2.68/1.60 ( subsetI2
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ! [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( in @ Xx @ B ) )
% 2.68/1.60 => ( subset @ A @ B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(emptysetsubset_type,type,
% 2.68/1.60 emptysetsubset: $o ).
% 2.68/1.60
% 2.68/1.60 thf(emptysetsubset,definition,
% 2.68/1.60 ( emptysetsubset
% 2.68/1.60 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(subsetE_type,type,
% 2.68/1.60 subsetE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(subsetE,definition,
% 2.68/1.60 ( subsetE
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( subset @ A @ B )
% 2.68/1.60 => ( ( in @ Xx @ A )
% 2.68/1.60 => ( in @ Xx @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(subsetE2_type,type,
% 2.68/1.60 subsetE2: $o ).
% 2.68/1.60
% 2.68/1.60 thf(subsetE2,definition,
% 2.68/1.60 ( subsetE2
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( subset @ A @ B )
% 2.68/1.60 => ( ~ ( in @ Xx @ B )
% 2.68/1.60 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(notsubsetI_type,type,
% 2.68/1.60 notsubsetI: $o ).
% 2.68/1.60
% 2.68/1.60 thf(notsubsetI,definition,
% 2.68/1.60 ( notsubsetI
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( ~ ( in @ Xx @ B )
% 2.68/1.60 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(notequalI1_type,type,
% 2.68/1.60 notequalI1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(notequalI1,definition,
% 2.68/1.60 ( notequalI1
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ~ ( subset @ A @ B )
% 2.68/1.60 => ( A != B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(notequalI2_type,type,
% 2.68/1.60 notequalI2: $o ).
% 2.68/1.60
% 2.68/1.60 thf(notequalI2,definition,
% 2.68/1.60 ( notequalI2
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( ~ ( in @ Xx @ B )
% 2.68/1.60 => ( A != B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(subsetRefl_type,type,
% 2.68/1.60 subsetRefl: $o ).
% 2.68/1.60
% 2.68/1.60 thf(subsetRefl,definition,
% 2.68/1.60 ( subsetRefl
% 2.68/1.60 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(subsetTrans_type,type,
% 2.68/1.60 subsetTrans: $o ).
% 2.68/1.60
% 2.68/1.60 thf(subsetTrans,definition,
% 2.68/1.60 ( subsetTrans
% 2.68/1.60 = ( ! [A: $i,B: $i,C: $i] :
% 2.68/1.60 ( ( subset @ A @ B )
% 2.68/1.60 => ( ( subset @ B @ C )
% 2.68/1.60 => ( subset @ A @ C ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinSub_type,type,
% 2.68/1.60 setadjoinSub: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinSub,definition,
% 2.68/1.60 ( setadjoinSub
% 2.68/1.60 = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinSub2_type,type,
% 2.68/1.60 setadjoinSub2: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setadjoinSub2,definition,
% 2.68/1.60 ( setadjoinSub2
% 2.68/1.60 = ( ! [A: $i,Xx: $i,B: $i] :
% 2.68/1.60 ( ( subset @ A @ B )
% 2.68/1.60 => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(subset2powerset_type,type,
% 2.68/1.60 subset2powerset: $o ).
% 2.68/1.60
% 2.68/1.60 thf(subset2powerset,definition,
% 2.68/1.60 ( subset2powerset
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( subset @ A @ B )
% 2.68/1.60 => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(setextsub_type,type,
% 2.68/1.60 setextsub: $o ).
% 2.68/1.60
% 2.68/1.60 thf(setextsub,definition,
% 2.68/1.60 ( setextsub
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( subset @ A @ B )
% 2.68/1.60 => ( ( subset @ B @ A )
% 2.68/1.60 => ( A = B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(subsetemptysetimpeq_type,type,
% 2.68/1.60 subsetemptysetimpeq: $o ).
% 2.68/1.60
% 2.68/1.60 thf(subsetemptysetimpeq,definition,
% 2.68/1.60 ( subsetemptysetimpeq
% 2.68/1.60 = ( ! [A: $i] :
% 2.68/1.60 ( ( subset @ A @ emptyset )
% 2.68/1.60 => ( A = emptyset ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(powersetI1_type,type,
% 2.68/1.60 powersetI1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(powersetI1,definition,
% 2.68/1.60 ( powersetI1
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( subset @ B @ A )
% 2.68/1.60 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(powersetE1_type,type,
% 2.68/1.60 powersetE1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(powersetE1,definition,
% 2.68/1.60 ( powersetE1
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( in @ B @ ( powerset @ A ) )
% 2.68/1.60 => ( subset @ B @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(inPowerset_type,type,
% 2.68/1.60 inPowerset: $o ).
% 2.68/1.60
% 2.68/1.60 thf(inPowerset,definition,
% 2.68/1.60 ( inPowerset
% 2.68/1.60 = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(powersetsubset_type,type,
% 2.68/1.60 powersetsubset: $o ).
% 2.68/1.60
% 2.68/1.60 thf(powersetsubset,definition,
% 2.68/1.60 ( powersetsubset
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( subset @ A @ B )
% 2.68/1.60 => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(sepInPowerset_type,type,
% 2.68/1.60 sepInPowerset: $o ).
% 2.68/1.60
% 2.68/1.60 thf(sepInPowerset,definition,
% 2.68/1.60 ( sepInPowerset
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.68/1.60 ( in
% 2.68/1.60 @ ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 @ ( powerset @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(sepSubset_type,type,
% 2.68/1.60 sepSubset: $o ).
% 2.68/1.60
% 2.68/1.60 thf(sepSubset,definition,
% 2.68/1.60 ( sepSubset
% 2.68/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.68/1.60 ( subset
% 2.68/1.60 @ ( dsetconstr @ A
% 2.68/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.68/1.60 @ A ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binunion_type,type,
% 2.68/1.60 binunion: $i > $i > $i ).
% 2.68/1.60
% 2.68/1.60 thf(binunionIL_type,type,
% 2.68/1.60 binunionIL: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binunionIL,definition,
% 2.68/1.60 ( binunionIL
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(upairset2IR_type,type,
% 2.68/1.60 upairset2IR: $o ).
% 2.68/1.60
% 2.68/1.60 thf(upairset2IR,definition,
% 2.68/1.60 ( upairset2IR
% 2.68/1.60 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binunionIR_type,type,
% 2.68/1.60 binunionIR: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binunionIR,definition,
% 2.68/1.60 ( binunionIR
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ B )
% 2.68/1.60 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binunionEcases_type,type,
% 2.68/1.60 binunionEcases: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binunionEcases,definition,
% 2.68/1.60 ( binunionEcases
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 2.68/1.60 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.68/1.60 => ( ( ( in @ Xx @ A )
% 2.68/1.60 => Xphi )
% 2.68/1.60 => ( ( ( in @ Xx @ B )
% 2.68/1.60 => Xphi )
% 2.68/1.60 => Xphi ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binunionE_type,type,
% 2.68/1.60 binunionE: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binunionE,definition,
% 2.68/1.60 ( binunionE
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.68/1.60 => ( ( in @ Xx @ A )
% 2.68/1.60 | ( in @ Xx @ B ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binunionLsub_type,type,
% 2.68/1.60 binunionLsub: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binunionLsub,definition,
% 2.68/1.60 ( binunionLsub
% 2.68/1.60 = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binunionRsub_type,type,
% 2.68/1.60 binunionRsub: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binunionRsub,definition,
% 2.68/1.60 ( binunionRsub
% 2.68/1.60 = ( ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersect_type,type,
% 2.68/1.60 binintersect: $i > $i > $i ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectI_type,type,
% 2.68/1.60 binintersectI: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectI,definition,
% 2.68/1.60 ( binintersectI
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 => ( ( in @ Xx @ B )
% 2.68/1.60 => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset5_type,type,
% 2.68/1.60 binintersectSubset5: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset5,definition,
% 2.68/1.60 ( binintersectSubset5
% 2.68/1.60 = ( ! [A: $i,B: $i,C: $i] :
% 2.68/1.60 ( ( subset @ C @ A )
% 2.68/1.60 => ( ( subset @ C @ B )
% 2.68/1.60 => ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectEL_type,type,
% 2.68/1.60 binintersectEL: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectEL,definition,
% 2.68/1.60 ( binintersectEL
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 2.68/1.60 => ( in @ Xx @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectLsub_type,type,
% 2.68/1.60 binintersectLsub: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectLsub,definition,
% 2.68/1.60 ( binintersectLsub
% 2.68/1.60 = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ A ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset2_type,type,
% 2.68/1.60 binintersectSubset2: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset2,definition,
% 2.68/1.60 ( binintersectSubset2
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( subset @ A @ B )
% 2.68/1.60 => ( ( binintersect @ A @ B )
% 2.68/1.60 = A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset3_type,type,
% 2.68/1.60 binintersectSubset3: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset3,definition,
% 2.68/1.60 ( binintersectSubset3
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( ( binintersect @ A @ B )
% 2.68/1.60 = B )
% 2.68/1.60 => ( subset @ B @ A ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectER_type,type,
% 2.68/1.60 binintersectER: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectER,definition,
% 2.68/1.60 ( binintersectER
% 2.68/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 2.68/1.60 => ( in @ Xx @ B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(disjointsetsI1_type,type,
% 2.68/1.60 disjointsetsI1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(disjointsetsI1,definition,
% 2.68/1.60 ( disjointsetsI1
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ~ ? [Xx: $i] :
% 2.68/1.60 ( ( in @ Xx @ A )
% 2.68/1.60 & ( in @ Xx @ B ) )
% 2.68/1.60 => ( ( binintersect @ A @ B )
% 2.68/1.60 = emptyset ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectRsub_type,type,
% 2.68/1.60 binintersectRsub: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectRsub,definition,
% 2.68/1.60 ( binintersectRsub
% 2.68/1.60 = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ B ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset4_type,type,
% 2.68/1.60 binintersectSubset4: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset4,definition,
% 2.68/1.60 ( binintersectSubset4
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( subset @ B @ A )
% 2.68/1.60 => ( ( binintersect @ A @ B )
% 2.68/1.60 = B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset1_type,type,
% 2.68/1.60 binintersectSubset1: $o ).
% 2.68/1.60
% 2.68/1.60 thf(binintersectSubset1,definition,
% 2.68/1.60 ( binintersectSubset1
% 2.68/1.60 = ( ! [A: $i,B: $i] :
% 2.68/1.60 ( ( ( binintersect @ A @ B )
% 2.68/1.60 = A )
% 2.68/1.60 => ( subset @ A @ B ) ) ) ) ).
% 2.68/1.60
% 2.68/1.60 thf(bs114d_type,type,
% 2.68/1.60 bs114d: $o ).
% 2.68/1.60
% 2.68/1.60 thf(bs114d,definition,
% 2.68/1.60 ( bs114d
% 2.68/1.60 = ( ! [A: $i,B: $i,C: $i] :
% 2.68/1.60 ( ( binintersect @ A @ ( binunion @ B @ C ) )
% 2.68/1.61 = ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(regular_type,type,
% 2.68/1.61 regular: $i > $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminus_type,type,
% 2.68/1.61 setminus: $i > $i > $i ).
% 2.68/1.61
% 2.68/1.61 thf(setminusI_type,type,
% 2.68/1.61 setminusI: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusI,definition,
% 2.68/1.61 ( setminusI
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ( ~ ( in @ Xx @ B )
% 2.68/1.61 => ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setminusEL_type,type,
% 2.68/1.61 setminusEL: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusEL,definition,
% 2.68/1.61 ( setminusEL
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ ( setminus @ A @ B ) )
% 2.68/1.61 => ( in @ Xx @ A ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setminusER_type,type,
% 2.68/1.61 setminusER: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusER,definition,
% 2.68/1.61 ( setminusER
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ ( setminus @ A @ B ) )
% 2.68/1.61 => ~ ( in @ Xx @ B ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setminusSubset2_type,type,
% 2.68/1.61 setminusSubset2: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusSubset2,definition,
% 2.68/1.61 ( setminusSubset2
% 2.68/1.61 = ( ! [A: $i,B: $i] :
% 2.68/1.61 ( ( subset @ A @ B )
% 2.68/1.61 => ( ( setminus @ A @ B )
% 2.68/1.61 = emptyset ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setminusERneg_type,type,
% 2.68/1.61 setminusERneg: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusERneg,definition,
% 2.68/1.61 ( setminusERneg
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ~ ( in @ Xx @ ( setminus @ A @ B ) )
% 2.68/1.61 => ( ( in @ Xx @ A )
% 2.68/1.61 => ( in @ Xx @ B ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setminusELneg_type,type,
% 2.68/1.61 setminusELneg: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusELneg,definition,
% 2.68/1.61 ( setminusELneg
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ~ ( in @ Xx @ ( setminus @ A @ B ) )
% 2.68/1.61 => ( ~ ( in @ Xx @ B )
% 2.68/1.61 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setminusILneg_type,type,
% 2.68/1.61 setminusILneg: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusILneg,definition,
% 2.68/1.61 ( setminusILneg
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ~ ( in @ Xx @ A )
% 2.68/1.61 => ~ ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setminusIRneg_type,type,
% 2.68/1.61 setminusIRneg: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusIRneg,definition,
% 2.68/1.61 ( setminusIRneg
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ B )
% 2.68/1.61 => ~ ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setminusLsub_type,type,
% 2.68/1.61 setminusLsub: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusLsub,definition,
% 2.68/1.61 ( setminusLsub
% 2.68/1.61 = ( ! [A: $i,B: $i] : ( subset @ ( setminus @ A @ B ) @ A ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setminusSubset1_type,type,
% 2.68/1.61 setminusSubset1: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setminusSubset1,definition,
% 2.68/1.61 ( setminusSubset1
% 2.68/1.61 = ( ! [A: $i,B: $i] :
% 2.68/1.61 ( ( ( setminus @ A @ B )
% 2.68/1.61 = emptyset )
% 2.68/1.61 => ( subset @ A @ B ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(symdiff_type,type,
% 2.68/1.61 symdiff: $i > $i > $i ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffE_type,type,
% 2.68/1.61 symdiffE: $o ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffE,definition,
% 2.68/1.61 ( symdiffE
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ ( symdiff @ A @ B ) )
% 2.68/1.61 => ! [Xphi: $o] :
% 2.68/1.61 ( ( ( in @ Xx @ A )
% 2.68/1.61 => ( ~ ( in @ Xx @ B )
% 2.68/1.61 => Xphi ) )
% 2.68/1.61 => ( ( ~ ( in @ Xx @ A )
% 2.68/1.61 => ( ( in @ Xx @ B )
% 2.68/1.61 => Xphi ) )
% 2.68/1.61 => Xphi ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffI1_type,type,
% 2.68/1.61 symdiffI1: $o ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffI1,definition,
% 2.68/1.61 ( symdiffI1
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ( ~ ( in @ Xx @ B )
% 2.68/1.61 => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffI2_type,type,
% 2.68/1.61 symdiffI2: $o ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffI2,definition,
% 2.68/1.61 ( symdiffI2
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ~ ( in @ Xx @ A )
% 2.68/1.61 => ( ( in @ Xx @ B )
% 2.68/1.61 => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffIneg1_type,type,
% 2.68/1.61 symdiffIneg1: $o ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffIneg1,definition,
% 2.68/1.61 ( symdiffIneg1
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ( ( in @ Xx @ B )
% 2.68/1.61 => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffIneg2_type,type,
% 2.68/1.61 symdiffIneg2: $o ).
% 2.68/1.61
% 2.68/1.61 thf(symdiffIneg2,definition,
% 2.68/1.61 ( symdiffIneg2
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ~ ( in @ Xx @ A )
% 2.68/1.61 => ( ~ ( in @ Xx @ B )
% 2.68/1.61 => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(iskpair_type,type,
% 2.68/1.61 iskpair: $i > $o ).
% 2.68/1.61
% 2.68/1.61 thf(iskpair,definition,
% 2.68/1.61 ( iskpair
% 2.68/1.61 = ( ^ [A: $i] :
% 2.68/1.61 ? [Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ ( setunion @ A ) )
% 2.68/1.61 & ? [Xy: $i] :
% 2.68/1.61 ( ( in @ Xy @ ( setunion @ A ) )
% 2.68/1.61 & ( A
% 2.68/1.61 = ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(secondinupair_type,type,
% 2.68/1.61 secondinupair: $o ).
% 2.68/1.61
% 2.68/1.61 thf(secondinupair,definition,
% 2.68/1.61 ( secondinupair
% 2.68/1.61 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setukpairIL_type,type,
% 2.68/1.61 setukpairIL: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setukpairIL,definition,
% 2.68/1.61 ( setukpairIL
% 2.68/1.61 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setunion @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setukpairIR_type,type,
% 2.68/1.61 setukpairIR: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setukpairIR,definition,
% 2.68/1.61 ( setukpairIR
% 2.68/1.61 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setunion @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(kpairiskpair_type,type,
% 2.68/1.61 kpairiskpair: $o ).
% 2.68/1.61
% 2.68/1.61 thf(kpairiskpair,definition,
% 2.68/1.61 ( kpairiskpair
% 2.68/1.61 = ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(kpair_type,type,
% 2.68/1.61 kpair: $i > $i > $i ).
% 2.68/1.61
% 2.68/1.61 thf(kpair,definition,
% 2.68/1.61 ( kpair
% 2.68/1.61 = ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(kpairp_type,type,
% 2.68/1.61 kpairp: $o ).
% 2.68/1.61
% 2.68/1.61 thf(kpairp,definition,
% 2.68/1.61 ( kpairp
% 2.68/1.61 = ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( kpair @ Xx @ Xy ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(cartprod_type,type,
% 2.68/1.61 cartprod: $i > $i > $i ).
% 2.68/1.61
% 2.68/1.61 thf(singletonsubset_type,type,
% 2.68/1.61 singletonsubset: $o ).
% 2.68/1.61
% 2.68/1.61 thf(singletonsubset,definition,
% 2.68/1.61 ( singletonsubset
% 2.68/1.61 = ( ! [A: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(singletoninpowerset_type,type,
% 2.68/1.61 singletoninpowerset: $o ).
% 2.68/1.61
% 2.68/1.61 thf(singletoninpowerset,definition,
% 2.68/1.61 ( singletoninpowerset
% 2.68/1.61 = ( ! [A: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(singletoninpowunion_type,type,
% 2.68/1.61 singletoninpowunion: $o ).
% 2.68/1.61
% 2.68/1.61 thf(singletoninpowunion,definition,
% 2.68/1.61 ( singletoninpowunion
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(upairset2E_type,type,
% 2.68/1.61 upairset2E: $o ).
% 2.68/1.61
% 2.68/1.61 thf(upairset2E,definition,
% 2.68/1.61 ( upairset2E
% 2.68/1.61 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.68/1.61 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 2.68/1.61 => ( ( Xz = Xx )
% 2.68/1.61 | ( Xz = Xy ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(upairsubunion_type,type,
% 2.68/1.61 upairsubunion: $o ).
% 2.68/1.61
% 2.68/1.61 thf(upairsubunion,definition,
% 2.68/1.61 ( upairsubunion
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ! [Xy: $i] :
% 2.68/1.61 ( ( in @ Xy @ B )
% 2.68/1.61 => ( subset @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( binunion @ A @ B ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(upairinpowunion_type,type,
% 2.68/1.61 upairinpowunion: $o ).
% 2.68/1.61
% 2.68/1.61 thf(upairinpowunion,definition,
% 2.68/1.61 ( upairinpowunion
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ! [Xy: $i] :
% 2.68/1.61 ( ( in @ Xy @ B )
% 2.68/1.61 => ( in @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(ubforcartprodlem1_type,type,
% 2.68/1.61 ubforcartprodlem1: $o ).
% 2.68/1.61
% 2.68/1.61 thf(ubforcartprodlem1,definition,
% 2.68/1.61 ( ubforcartprodlem1
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ! [Xy: $i] :
% 2.68/1.61 ( ( in @ Xy @ B )
% 2.68/1.61 => ( subset @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(ubforcartprodlem2_type,type,
% 2.68/1.61 ubforcartprodlem2: $o ).
% 2.68/1.61
% 2.68/1.61 thf(ubforcartprodlem2,definition,
% 2.68/1.61 ( ubforcartprodlem2
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ! [Xy: $i] :
% 2.68/1.61 ( ( in @ Xy @ B )
% 2.68/1.61 => ( in @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(ubforcartprodlem3_type,type,
% 2.68/1.61 ubforcartprodlem3: $o ).
% 2.68/1.61
% 2.68/1.61 thf(ubforcartprodlem3,definition,
% 2.68/1.61 ( ubforcartprodlem3
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ! [Xy: $i] :
% 2.68/1.61 ( ( in @ Xy @ B )
% 2.68/1.61 => ( in @ ( kpair @ Xx @ Xy ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(cartprodpairin_type,type,
% 2.68/1.61 cartprodpairin: $o ).
% 2.68/1.61
% 2.68/1.61 thf(cartprodpairin,definition,
% 2.68/1.61 ( cartprodpairin
% 2.68/1.61 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 => ! [Xy: $i] :
% 2.68/1.61 ( ( in @ Xy @ B )
% 2.68/1.61 => ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(cartprodmempair1_type,type,
% 2.68/1.61 cartprodmempair1: $o ).
% 2.68/1.61
% 2.68/1.61 thf(cartprodmempair1,definition,
% 2.68/1.61 ( cartprodmempair1
% 2.68/1.61 = ( ! [A: $i,B: $i,Xu: $i] :
% 2.68/1.61 ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 2.68/1.61 => ? [Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ A )
% 2.68/1.61 & ? [Xy: $i] :
% 2.68/1.61 ( ( in @ Xy @ B )
% 2.68/1.61 & ( Xu
% 2.68/1.61 = ( kpair @ Xx @ Xy ) ) ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(cartprodmempair_type,type,
% 2.68/1.61 cartprodmempair: $o ).
% 2.68/1.61
% 2.68/1.61 thf(cartprodmempair,definition,
% 2.68/1.61 ( cartprodmempair
% 2.68/1.61 = ( ! [A: $i,B: $i,Xu: $i] :
% 2.68/1.61 ( ( in @ Xu @ ( cartprod @ A @ B ) )
% 2.68/1.61 => ( iskpair @ Xu ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setunionE2_type,type,
% 2.68/1.61 setunionE2: $o ).
% 2.68/1.61
% 2.68/1.61 thf(setunionE2,definition,
% 2.68/1.61 ( setunionE2
% 2.68/1.61 = ( ! [A: $i,Xx: $i] :
% 2.68/1.61 ( ( in @ Xx @ ( setunion @ A ) )
% 2.68/1.61 => ? [X: $i] :
% 2.68/1.61 ( ( in @ X @ A )
% 2.68/1.61 & ( in @ Xx @ X ) ) ) ) ) ).
% 2.68/1.61
% 2.68/1.61 thf(setunionsingleton1,conjecture,
% 2.68/1.61 ( setextAx
% 2.68/1.61 => ( emptysetAx
% 2.68/1.61 => ( setadjoinAx
% 2.68/1.61 => ( powersetAx
% 2.68/1.61 => ( setunionAx
% 2.68/1.61 => ( omega0Ax
% 2.68/1.61 => ( omegaSAx
% 2.68/1.61 => ( omegaIndAx
% 2.68/1.61 => ( replAx
% 2.68/1.61 => ( foundationAx
% 2.68/1.61 => ( wellorderingAx
% 2.68/1.61 => ( descrp
% 2.68/1.61 => ( dsetconstrI
% 2.68/1.61 => ( dsetconstrEL
% 2.68/1.61 => ( dsetconstrER
% 2.68/1.61 => ( exuE1
% 2.68/1.61 => ( prop2setE
% 2.68/1.61 => ( emptysetE
% 2.68/1.61 => ( emptysetimpfalse
% 2.68/1.61 => ( notinemptyset
% 2.68/1.61 => ( exuE3e
% 2.68/1.61 => ( setext
% 2.68/1.61 => ( emptyI
% 2.68/1.61 => ( noeltsimpempty
% 2.68/1.61 => ( setbeta
% 2.68/1.61 => ( nonemptyE1
% 2.68/1.61 => ( nonemptyI
% 2.68/1.61 => ( nonemptyI1
% 2.68/1.61 => ( setadjoinIL
% 2.68/1.61 => ( emptyinunitempty
% 2.68/1.61 => ( setadjoinIR
% 2.68/1.61 => ( setadjoinE
% 2.68/1.61 => ( setadjoinOr
% 2.68/1.61 => ( setoftrueEq
% 2.68/1.61 => ( powersetI
% 2.68/1.61 => ( emptyinPowerset
% 2.68/1.61 => ( emptyInPowerset
% 2.68/1.61 => ( powersetE
% 2.68/1.61 => ( setunionI
% 2.68/1.61 => ( setunionE
% 2.68/1.61 => ( subPowSU
% 2.68/1.61 => ( exuE2
% 2.68/1.61 => ( nonemptyImpWitness
% 2.68/1.61 => ( uniqinunit
% 2.68/1.61 => ( notinsingleton
% 2.68/1.61 => ( eqinunit
% 2.68/1.61 => ( singletonsswitch
% 2.68/1.61 => ( upairsetE
% 2.68/1.61 => ( upairsetIL
% 2.68/1.61 => ( upairsetIR
% 2.68/1.61 => ( emptyE1
% 2.68/1.61 => ( vacuousDall
% 2.68/1.61 => ( quantDeMorgan1
% 2.68/1.61 => ( quantDeMorgan2
% 2.68/1.61 => ( quantDeMorgan3
% 2.68/1.61 => ( quantDeMorgan4
% 2.68/1.61 => ( prop2setI
% 2.68/1.61 => ( prop2set2propI
% 2.68/1.61 => ( notdexE
% 2.68/1.61 => ( notdallE
% 2.68/1.61 => ( exuI1
% 2.68/1.61 => ( exuI3
% 2.68/1.61 => ( exuI2
% 2.68/1.61 => ( inCongP
% 2.68/1.61 => ( in__Cong
% 2.68/1.61 => ( exuE3u
% 2.68/1.61 => ( exu__Cong
% 2.68/1.61 => ( emptyset__Cong
% 2.68/1.61 => ( setadjoin__Cong
% 2.68/1.61 => ( powerset__Cong
% 2.68/1.61 => ( setunion__Cong
% 2.68/1.61 => ( omega__Cong
% 2.68/1.61 => ( exuEu
% 2.68/1.61 => ( descr__Cong
% 2.68/1.61 => ( dsetconstr__Cong
% 2.68/1.61 => ( subsetI1
% 2.68/1.61 => ( eqimpsubset2
% 2.68/1.61 => ( eqimpsubset1
% 2.68/1.61 => ( subsetI2
% 2.68/1.61 => ( emptysetsubset
% 2.68/1.61 => ( subsetE
% 2.68/1.61 => ( subsetE2
% 2.68/1.61 => ( notsubsetI
% 2.68/1.61 => ( notequalI1
% 2.68/1.61 => ( notequalI2
% 2.68/1.61 => ( subsetRefl
% 2.68/1.61 => ( subsetTrans
% 2.68/1.61 => ( setadjoinSub
% 2.68/1.61 => ( setadjoinSub2
% 2.68/1.61 => ( subset2powerset
% 2.68/1.61 => ( setextsub
% 2.68/1.61 => ( subsetemptysetimpeq
% 2.68/1.61 => ( powersetI1
% 2.68/1.61 => ( powersetE1
% 2.68/1.61 => ( inPowerset
% 2.68/1.61 => ( powersetsubset
% 2.68/1.61 => ( sepInPowerset
% 2.68/1.61 => ( sepSubset
% 2.68/1.61 => ( binunionIL
% 2.68/1.61 => ( upairset2IR
% 2.68/1.61 => ( binunionIR
% 2.68/1.61 => ( binunionEcases
% 2.68/1.61 => ( binunionE
% 2.68/1.61 => ( binunionLsub
% 2.68/1.61 => ( binunionRsub
% 2.68/1.61 => ( binintersectI
% 2.68/1.61 => ( binintersectSubset5
% 2.68/1.61 => ( binintersectEL
% 2.68/1.61 => ( binintersectLsub
% 2.68/1.61 => ( binintersectSubset2
% 2.68/1.61 => ( binintersectSubset3
% 2.68/1.61 => ( binintersectER
% 2.68/1.61 => ( disjointsetsI1
% 2.68/1.61 => ( binintersectRsub
% 2.68/1.61 => ( binintersectSubset4
% 2.68/1.61 => ( binintersectSubset1
% 2.68/1.61 => ( bs114d
% 2.68/1.61 => ( setminusI
% 2.68/1.61 => ( setminusEL
% 2.68/1.61 => ( setminusER
% 2.68/1.61 => ( setminusSubset2
% 2.68/1.61 => ( setminusERneg
% 2.68/1.61 => ( setminusELneg
% 2.68/1.61 => ( setminusILneg
% 2.68/1.61 => ( setminusIRneg
% 2.68/1.61 => ( setminusLsub
% 2.68/1.61 => ( setminusSubset1
% 2.68/1.61 => ( symdiffE
% 2.68/1.61 => ( symdiffI1
% 2.68/1.61 => ( symdiffI2
% 2.68/1.61 => ( symdiffIneg1
% 2.68/1.61 => ( symdiffIneg2
% 2.68/1.61 => ( secondinupair
% 2.68/1.61 => ( setukpairIL
% 2.68/1.61 => ( setukpairIR
% 2.68/1.61 => ( kpairiskpair
% 2.68/1.61 => ( kpairp
% 2.68/1.61 => ( singletonsubset
% 2.68/1.61 => ( singletoninpowerset
% 2.68/1.61 => ( singletoninpowunion
% 2.68/1.61 => ( upairset2E
% 2.68/1.61 => ( upairsubunion
% 2.68/1.61 => ( upairinpowunion
% 2.68/1.61 => ( ubforcartprodlem1
% 2.68/1.61 => ( ubforcartprodlem2
% 2.68/1.61 => ( ubforcartprodlem3
% 2.68/1.61 => ( cartprodpairin
% 2.68/1.61 => ( cartprodmempair1
% 2.68/1.61 => ( cartprodmempair
% 2.68/1.61 => ( setunionE2
% 2.68/1.61 => ! [A: $i] : ( subset @ ( setunion @ ( setadjoin @ A @ emptyset ) ) @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.68/1.61 ------------------------
% 2.68/1.63 % (25222)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/4Mi)
% 2.68/1.63 % (25228)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/18Mi)
% 2.68/1.63 % (25222)Instruction limit reached!
% 2.68/1.63 % (25222)------------------------------
% 2.68/1.63 % (25222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.63 % (25222)Termination reason: Unknown
% 2.68/1.63 % (25222)Termination phase: shuffling
% 2.68/1.63
% 2.68/1.63 % (25222)Memory used [KB]: 1407
% 2.68/1.63 % (25222)Time elapsed: 0.003 s
% 2.68/1.63 % (25222)Instructions burned: 7 (million)
% 2.68/1.63 % (25222)------------------------------
% 2.68/1.63 % (25222)------------------------------
% 2.68/1.63 % (25221)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/183Mi)
% 2.68/1.63 % (25228)Instruction limit reached!
% 2.68/1.63 % (25228)------------------------------
% 2.68/1.63 % (25228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.63 % (25228)Termination reason: Unknown
% 2.68/1.63 % (25228)Termination phase: Property scanning
% 2.68/1.63
% 2.68/1.63 % (25228)Memory used [KB]: 1535
% 2.68/1.63 % (25228)Time elapsed: 0.007 s
% 2.68/1.63 % (25228)Instructions burned: 18 (million)
% 2.68/1.63 % (25228)------------------------------
% 2.68/1.63 % (25228)------------------------------
% 2.68/1.63 % (25223)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/27Mi)
% 2.68/1.63 % (25224)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/2Mi)
% 2.68/1.63 % (25225)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/2Mi)
% 2.68/1.63 % (25226)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/275Mi)
% 2.68/1.64 % (25224)Instruction limit reached!
% 2.68/1.64 % (25224)------------------------------
% 2.68/1.64 % (25224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.64 % (25224)Termination reason: Unknown
% 2.68/1.64 % (25224)Termination phase: shuffling
% 2.68/1.64
% 2.68/1.64 % (25224)Memory used [KB]: 1279
% 2.68/1.64 % (25224)Time elapsed: 0.004 s
% 2.68/1.64 % (25224)Instructions burned: 3 (million)
% 2.68/1.64 % (25224)------------------------------
% 2.68/1.64 % (25224)------------------------------
% 2.68/1.64 % (25225)Instruction limit reached!
% 2.68/1.64 % (25225)------------------------------
% 2.68/1.64 % (25225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.64 % (25225)Termination reason: Unknown
% 2.68/1.64 % (25225)Termination phase: shuffling
% 2.68/1.64
% 2.68/1.64 % (25225)Memory used [KB]: 1279
% 2.68/1.64 % (25225)Time elapsed: 0.004 s
% 2.68/1.64 % (25225)Instructions burned: 3 (million)
% 2.68/1.64 % (25225)------------------------------
% 2.68/1.64 % (25225)------------------------------
% 2.68/1.64 % (25233)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/3Mi)
% 2.68/1.64 % (25233)Instruction limit reached!
% 2.68/1.64 % (25233)------------------------------
% 2.68/1.64 % (25233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.64 % (25233)Termination reason: Unknown
% 2.68/1.64 % (25233)Termination phase: shuffling
% 2.68/1.64
% 2.68/1.64 % (25233)Memory used [KB]: 1279
% 2.68/1.64 % (25233)Time elapsed: 0.002 s
% 2.68/1.64 % (25233)Instructions burned: 3 (million)
% 2.68/1.64 % (25233)------------------------------
% 2.68/1.64 % (25233)------------------------------
% 2.68/1.64 % (25237)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/37Mi)
% 2.68/1.65 % (25223)Instruction limit reached!
% 2.68/1.65 % (25223)------------------------------
% 2.68/1.65 % (25223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.65 % (25223)Termination reason: Unknown
% 2.68/1.65 % (25223)Termination phase: Property scanning
% 2.68/1.65
% 2.68/1.65 % (25223)Memory used [KB]: 1663
% 2.68/1.65 % (25223)Time elapsed: 0.016 s
% 2.68/1.65 % (25223)Instructions burned: 27 (million)
% 2.68/1.65 % (25223)------------------------------
% 2.68/1.65 % (25223)------------------------------
% 2.68/1.65 % (25243)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/1041Mi)
% 2.68/1.65 % (25240)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/15Mi)
% 2.68/1.65 % (25241)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/3Mi)
% 2.68/1.65 % (25237)Instruction limit reached!
% 2.68/1.65 % (25237)------------------------------
% 2.68/1.65 % (25237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.65 % (25237)Termination reason: Unknown
% 2.68/1.65 % (25237)Termination phase: Property scanning
% 2.68/1.65
% 2.68/1.65 % (25237)Memory used [KB]: 1791
% 2.68/1.65 % (25237)Time elapsed: 0.012 s
% 2.68/1.65 % (25237)Instructions burned: 39 (million)
% 2.68/1.65 % (25237)------------------------------
% 2.68/1.65 % (25237)------------------------------
% 2.68/1.66 % (25241)Instruction limit reached!
% 2.68/1.66 % (25241)------------------------------
% 2.68/1.66 % (25241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.66 % (25241)Termination reason: Unknown
% 2.68/1.66 % (25241)Termination phase: shuffling
% 2.68/1.66
% 2.68/1.66 % (25241)Memory used [KB]: 1279
% 2.68/1.66 % (25241)Time elapsed: 0.004 s
% 2.68/1.66 % (25241)Instructions burned: 3 (million)
% 2.68/1.66 % (25241)------------------------------
% 2.68/1.66 % (25241)------------------------------
% 2.68/1.66 % (25240)Instruction limit reached!
% 2.68/1.66 % (25240)------------------------------
% 2.68/1.66 % (25240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.66 % (25240)Termination reason: Unknown
% 2.68/1.66 % (25240)Termination phase: Property scanning
% 2.68/1.66
% 2.68/1.66 % (25240)Memory used [KB]: 1535
% 2.68/1.66 % (25240)Time elapsed: 0.011 s
% 2.68/1.66 % (25240)Instructions burned: 15 (million)
% 2.68/1.66 % (25240)------------------------------
% 2.68/1.66 % (25240)------------------------------
% 2.68/1.66 % (25251)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/16Mi)
% 2.68/1.67 % (25249)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/7Mi)
% 2.68/1.67 % (25249)Instruction limit reached!
% 2.68/1.67 % (25249)------------------------------
% 2.68/1.67 % (25249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.67 % (25249)Termination reason: Unknown
% 2.68/1.67 % (25249)Termination phase: shuffling
% 2.68/1.67
% 2.68/1.67 % (25249)Memory used [KB]: 1407
% 2.68/1.67 % (25249)Time elapsed: 0.006 s
% 2.68/1.67 % (25249)Instructions burned: 7 (million)
% 2.68/1.67 % (25249)------------------------------
% 2.68/1.67 % (25249)------------------------------
% 2.68/1.67 % (25251)Instruction limit reached!
% 2.68/1.67 % (25251)------------------------------
% 2.68/1.67 % (25251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.67 % (25251)Termination reason: Unknown
% 2.68/1.67 % (25251)Termination phase: shuffling
% 2.68/1.67
% 2.68/1.67 % (25251)Memory used [KB]: 1535
% 2.68/1.67 % (25251)Time elapsed: 0.007 s
% 2.68/1.67 % (25251)Instructions burned: 17 (million)
% 2.68/1.67 % (25251)------------------------------
% 2.68/1.67 % (25251)------------------------------
% 2.68/1.67 % (25252)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/3Mi)
% 2.68/1.67 % (25252)Instruction limit reached!
% 2.68/1.67 % (25252)------------------------------
% 2.68/1.67 % (25252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.67 % (25252)Termination reason: Unknown
% 2.68/1.67 % (25252)Termination phase: shuffling
% 2.68/1.67
% 2.68/1.67 % (25252)Memory used [KB]: 1279
% 2.68/1.67 % (25252)Time elapsed: 0.004 s
% 2.68/1.67 % (25252)Instructions burned: 4 (million)
% 2.68/1.67 % (25252)------------------------------
% 2.68/1.67 % (25252)------------------------------
% 2.68/1.68 % (25254)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/3Mi)
% 2.68/1.68 % (25254)Instruction limit reached!
% 2.68/1.68 % (25254)------------------------------
% 2.68/1.68 % (25254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.68 % (25254)Termination reason: Unknown
% 2.68/1.68 % (25254)Termination phase: shuffling
% 2.68/1.68
% 2.68/1.68 % (25254)Memory used [KB]: 1279
% 2.68/1.68 % (25254)Time elapsed: 0.003 s
% 2.68/1.68 % (25254)Instructions burned: 4 (million)
% 2.68/1.68 % (25254)------------------------------
% 2.68/1.68 % (25254)------------------------------
% 2.68/1.68 % (25259)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/3Mi)
% 2.68/1.68 % (25259)Instruction limit reached!
% 2.68/1.68 % (25259)------------------------------
% 2.68/1.68 % (25259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.68 % (25259)Termination reason: Unknown
% 2.68/1.68 % (25259)Termination phase: shuffling
% 2.68/1.68
% 2.68/1.68 % (25259)Memory used [KB]: 1279
% 2.68/1.68 % (25259)Time elapsed: 0.002 s
% 2.68/1.68 % (25259)Instructions burned: 4 (million)
% 2.68/1.68 % (25259)------------------------------
% 2.68/1.68 % (25259)------------------------------
% 2.68/1.69 % (25258)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/7Mi)
% 2.68/1.69 % (25265)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/18Mi)
% 2.68/1.69 % (25221)Instruction limit reached!
% 2.68/1.69 % (25221)------------------------------
% 2.68/1.69 % (25221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.69 % (25221)Termination reason: Unknown
% 2.68/1.69 % (25221)Termination phase: Saturation
% 2.68/1.69
% 2.68/1.69 % (25221)Memory used [KB]: 7419
% 2.68/1.69 % (25221)Time elapsed: 0.062 s
% 2.68/1.69 % (25221)Instructions burned: 183 (million)
% 2.68/1.69 % (25221)------------------------------
% 2.68/1.69 % (25221)------------------------------
% 2.68/1.69 % (25258)Instruction limit reached!
% 2.68/1.69 % (25258)------------------------------
% 2.68/1.69 % (25258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.69 % (25258)Termination reason: Unknown
% 2.68/1.69 % (25258)Termination phase: shuffling
% 2.68/1.69
% 2.68/1.69 % (25258)Memory used [KB]: 1407
% 2.68/1.69 % (25258)Time elapsed: 0.006 s
% 2.68/1.69 % (25258)Instructions burned: 8 (million)
% 2.68/1.69 % (25258)------------------------------
% 2.68/1.69 % (25258)------------------------------
% 2.68/1.69 % (25267)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/710Mi)
% 2.68/1.69 % (25262)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/4Mi)
% 2.68/1.69 % (25262)Instruction limit reached!
% 2.68/1.69 % (25262)------------------------------
% 2.68/1.69 % (25262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.68/1.69 % (25262)Termination reason: Unknown
% 2.68/1.69 % (25262)Termination phase: shuffling
% 2.68/1.69
% 2.68/1.69 % (25262)Memory used [KB]: 1279
% 2.68/1.69 % (25262)Time elapsed: 0.004 s
% 2.68/1.69 % (25262)Instructions burned: 4 (million)
% 2.68/1.69 % (25262)------------------------------
% 2.68/1.69 % (25262)------------------------------
% 2.72/1.70 % (25265)Instruction limit reached!
% 2.72/1.70 % (25265)------------------------------
% 2.72/1.70 % (25265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.70 % (25265)Termination reason: Unknown
% 2.72/1.70 % (25265)Termination phase: shuffling
% 2.72/1.70
% 2.72/1.70 % (25265)Memory used [KB]: 1663
% 2.72/1.70 % (25265)Time elapsed: 0.007 s
% 2.72/1.70 % (25265)Instructions burned: 20 (million)
% 2.72/1.70 % (25265)------------------------------
% 2.72/1.70 % (25265)------------------------------
% 2.72/1.71 % (25277)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/5Mi)
% 2.72/1.71 % (25271)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/6Mi)
% 2.72/1.71 % (25272)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/902Mi)
% 2.72/1.71 % (25277)Instruction limit reached!
% 2.72/1.71 % (25277)------------------------------
% 2.72/1.71 % (25277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.71 % (25277)Termination reason: Unknown
% 2.72/1.71 % (25277)Termination phase: shuffling
% 2.72/1.71
% 2.72/1.71 % (25277)Memory used [KB]: 1407
% 2.72/1.71 % (25277)Time elapsed: 0.004 s
% 2.72/1.71 % (25277)Instructions burned: 7 (million)
% 2.72/1.71 % (25277)------------------------------
% 2.72/1.71 % (25277)------------------------------
% 2.72/1.71 % (25271)Instruction limit reached!
% 2.72/1.71 % (25271)------------------------------
% 2.72/1.71 % (25271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.71 % (25271)Termination reason: Unknown
% 2.72/1.71 % (25271)Termination phase: shuffling
% 2.72/1.71
% 2.72/1.71 % (25271)Memory used [KB]: 1407
% 2.72/1.71 % (25271)Time elapsed: 0.006 s
% 2.72/1.71 % (25271)Instructions burned: 7 (million)
% 2.72/1.71 % (25271)------------------------------
% 2.72/1.71 % (25271)------------------------------
% 2.72/1.71 % (25275)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/21Mi)
% 2.72/1.72 % (25280)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/6Mi)
% 2.72/1.72 % (25280)Instruction limit reached!
% 2.72/1.72 % (25280)------------------------------
% 2.72/1.72 % (25280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.72 % (25280)Termination reason: Unknown
% 2.72/1.72 % (25280)Termination phase: shuffling
% 2.72/1.72
% 2.72/1.72 % (25280)Memory used [KB]: 1407
% 2.72/1.72 % (25280)Time elapsed: 0.004 s
% 2.72/1.72 % (25280)Instructions burned: 7 (million)
% 2.72/1.72 % (25280)------------------------------
% 2.72/1.72 % (25280)------------------------------
% 2.72/1.72 % (25275)Instruction limit reached!
% 2.72/1.72 % (25275)------------------------------
% 2.72/1.72 % (25275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.72 % (25275)Termination reason: Unknown
% 2.72/1.72 % (25275)Termination phase: shuffling
% 2.72/1.72
% 2.72/1.72 % (25275)Memory used [KB]: 1791
% 2.72/1.72 % (25275)Time elapsed: 0.013 s
% 2.72/1.72 % (25275)Instructions burned: 21 (million)
% 2.72/1.72 % (25275)------------------------------
% 2.72/1.72 % (25275)------------------------------
% 2.72/1.73 % (25282)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_24989 for (2999ds/377Mi)
% 2.72/1.73 % (25226)Instruction limit reached!
% 2.72/1.73 % (25226)------------------------------
% 2.72/1.73 % (25226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.73 % (25226)Termination reason: Unknown
% 2.72/1.73 % (25226)Termination phase: Saturation
% 2.72/1.73
% 2.72/1.73 % (25226)Memory used [KB]: 8059
% 2.72/1.73 % (25226)Time elapsed: 0.098 s
% 2.72/1.73 % (25226)Instructions burned: 277 (million)
% 2.72/1.73 % (25226)------------------------------
% 2.72/1.73 % (25226)------------------------------
% 2.72/1.73 % (25286)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_24989 for (2998ds/779Mi)
% 2.72/1.74 % (25293)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_24989 for (2998ds/879Mi)
% 2.72/1.74 % (25290)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_24989 for (2998ds/19Mi)
% 2.72/1.75 % (25290)Instruction limit reached!
% 2.72/1.75 % (25290)------------------------------
% 2.72/1.75 % (25290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.75 % (25290)Termination reason: Unknown
% 2.72/1.75 % (25290)Termination phase: shuffling
% 2.72/1.75
% 2.72/1.75 % (25290)Memory used [KB]: 1663
% 2.72/1.75 % (25290)Time elapsed: 0.011 s
% 2.72/1.75 % (25290)Instructions burned: 19 (million)
% 2.72/1.75 % (25290)------------------------------
% 2.72/1.75 % (25290)------------------------------
% 2.72/1.76 % (25299)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_24989 for (2998ds/17Mi)
% 2.72/1.77 % (25299)Instruction limit reached!
% 2.72/1.77 % (25299)------------------------------
% 2.72/1.77 % (25299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.77 % (25299)Termination reason: Unknown
% 2.72/1.77 % (25299)Termination phase: shuffling
% 2.72/1.77
% 2.72/1.77 % (25299)Memory used [KB]: 1535
% 2.72/1.77 % (25299)Time elapsed: 0.007 s
% 2.72/1.77 % (25299)Instructions burned: 18 (million)
% 2.72/1.77 % (25299)------------------------------
% 2.72/1.77 % (25299)------------------------------
% 2.72/1.78 % (25313)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_24989 for (2998ds/3Mi)
% 2.72/1.78 % (25313)Instruction limit reached!
% 2.72/1.78 % (25313)------------------------------
% 2.72/1.78 % (25313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.78 % (25313)Termination reason: Unknown
% 2.72/1.78 % (25313)Termination phase: shuffling
% 2.72/1.78
% 2.72/1.78 % (25313)Memory used [KB]: 1279
% 2.72/1.78 % (25313)Time elapsed: 0.003 s
% 2.72/1.78 % (25313)Instructions burned: 4 (million)
% 2.72/1.78 % (25313)------------------------------
% 2.72/1.78 % (25313)------------------------------
% 2.72/1.79 % (25316)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_24989 for (2998ds/30Mi)
% 2.72/1.80 % (25316)Instruction limit reached!
% 2.72/1.80 % (25316)------------------------------
% 2.72/1.80 % (25316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.80 % (25316)Termination reason: Unknown
% 2.72/1.80 % (25316)Termination phase: Property scanning
% 2.72/1.80
% 2.72/1.80 % (25316)Memory used [KB]: 1663
% 2.72/1.80 % (25316)Time elapsed: 0.011 s
% 2.72/1.80 % (25316)Instructions burned: 31 (million)
% 2.72/1.80 % (25316)------------------------------
% 2.72/1.80 % (25316)------------------------------
% 2.72/1.81 % (25327)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_24989 for (2998ds/127Mi)
% 2.72/1.85 % (25327)Instruction limit reached!
% 2.72/1.85 % (25327)------------------------------
% 2.72/1.85 % (25327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.85 % (25327)Termination reason: Unknown
% 2.72/1.85 % (25327)Termination phase: Saturation
% 2.72/1.85
% 2.72/1.85 % (25327)Memory used [KB]: 6780
% 2.72/1.85 % (25327)Time elapsed: 0.038 s
% 2.72/1.85 % (25327)Instructions burned: 128 (million)
% 2.72/1.85 % (25327)------------------------------
% 2.72/1.85 % (25327)------------------------------
% 2.72/1.85 % (25282)Instruction limit reached!
% 2.72/1.85 % (25282)------------------------------
% 2.72/1.85 % (25282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.85 % (25282)Termination reason: Unknown
% 2.72/1.85 % (25282)Termination phase: Saturation
% 2.72/1.85
% 2.72/1.85 % (25282)Memory used [KB]: 7803
% 2.72/1.85 % (25282)Time elapsed: 0.127 s
% 2.72/1.85 % (25282)Instructions burned: 377 (million)
% 2.72/1.85 % (25282)------------------------------
% 2.72/1.85 % (25282)------------------------------
% 2.72/1.86 % (25350)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_24989 for (2997ds/100Mi)
% 2.72/1.86 % (25356)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_24989 for (2997ds/3Mi)
% 2.72/1.86 % (25356)Instruction limit reached!
% 2.72/1.86 % (25356)------------------------------
% 2.72/1.86 % (25356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.86 % (25356)Termination reason: Unknown
% 2.72/1.86 % (25356)Termination phase: shuffling
% 2.72/1.86
% 2.72/1.86 % (25356)Memory used [KB]: 1279
% 2.72/1.86 % (25356)Time elapsed: 0.002 s
% 2.72/1.86 % (25356)Instructions burned: 4 (million)
% 2.72/1.86 % (25356)------------------------------
% 2.72/1.86 % (25356)------------------------------
% 2.72/1.88 % (25359)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_24989 for (2997ds/20Mi)
% 2.72/1.88 % (25359)Instruction limit reached!
% 2.72/1.88 % (25359)------------------------------
% 2.72/1.88 % (25359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.88 % (25359)Termination reason: Unknown
% 2.72/1.88 % (25359)Termination phase: SInE selection
% 2.72/1.88
% 2.72/1.88 % (25359)Memory used [KB]: 1535
% 2.72/1.88 % (25359)Time elapsed: 0.009 s
% 2.72/1.88 % (25359)Instructions burned: 23 (million)
% 2.72/1.88 % (25359)------------------------------
% 2.72/1.88 % (25359)------------------------------
% 2.72/1.89 % (25350)Instruction limit reached!
% 2.72/1.89 % (25350)------------------------------
% 2.72/1.89 % (25350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.89 % (25350)Termination reason: Unknown
% 2.72/1.89 % (25350)Termination phase: Saturation
% 2.72/1.89
% 2.72/1.89 % (25350)Memory used [KB]: 6652
% 2.72/1.89 % (25350)Time elapsed: 0.031 s
% 2.72/1.89 % (25350)Instructions burned: 101 (million)
% 2.72/1.89 % (25350)------------------------------
% 2.72/1.89 % (25350)------------------------------
% 2.72/1.89 % (25368)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_24989 for (2997ds/86Mi)
% 2.72/1.90 % (25371)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_24989 for (2997ds/107Mi)
% 2.72/1.90 % (25243)Instruction limit reached!
% 2.72/1.90 % (25243)------------------------------
% 2.72/1.90 % (25243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.90 % (25243)Termination reason: Unknown
% 2.72/1.90 % (25243)Termination phase: Saturation
% 2.72/1.90
% 2.72/1.90 % (25243)Memory used [KB]: 9210
% 2.72/1.90 % (25243)Time elapsed: 0.254 s
% 2.72/1.90 % (25243)Instructions burned: 1043 (million)
% 2.72/1.90 % (25243)------------------------------
% 2.72/1.90 % (25243)------------------------------
% 2.72/1.91 % (25378)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_24989 for (2997ds/39Mi)
% 2.72/1.92 % (25368)Instruction limit reached!
% 2.72/1.92 % (25368)------------------------------
% 2.72/1.92 % (25368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.92 % (25368)Termination reason: Unknown
% 2.72/1.92 % (25368)Termination phase: Saturation
% 2.72/1.92
% 2.72/1.92 % (25368)Memory used [KB]: 6524
% 2.72/1.92 % (25368)Time elapsed: 0.025 s
% 2.72/1.92 % (25368)Instructions burned: 86 (million)
% 2.72/1.92 % (25368)------------------------------
% 2.72/1.92 % (25368)------------------------------
% 2.72/1.92 % (25267)Instruction limit reached!
% 2.72/1.92 % (25267)------------------------------
% 2.72/1.92 % (25267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.92 % (25267)Termination reason: Unknown
% 2.72/1.92 % (25267)Termination phase: Saturation
% 2.72/1.92
% 2.72/1.92 % (25267)Memory used [KB]: 9083
% 2.72/1.92 % (25267)Time elapsed: 0.230 s
% 2.72/1.92 % (25267)Instructions burned: 710 (million)
% 2.72/1.92 % (25267)------------------------------
% 2.72/1.92 % (25267)------------------------------
% 2.72/1.92 % (25378)Instruction limit reached!
% 2.72/1.92 % (25378)------------------------------
% 2.72/1.92 % (25378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.92 % (25378)Termination reason: Unknown
% 2.72/1.92 % (25378)Termination phase: Property scanning
% 2.72/1.92
% 2.72/1.92 % (25378)Memory used [KB]: 1791
% 2.72/1.92 % (25378)Time elapsed: 0.012 s
% 2.72/1.92 % (25378)Instructions burned: 43 (million)
% 2.72/1.92 % (25378)------------------------------
% 2.72/1.92 % (25378)------------------------------
% 2.72/1.93 % (25371)Instruction limit reached!
% 2.72/1.93 % (25371)------------------------------
% 2.72/1.93 % (25371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.93 % (25371)Termination reason: Unknown
% 2.72/1.93 % (25371)Termination phase: Saturation
% 2.72/1.93
% 2.72/1.93 % (25371)Memory used [KB]: 6652
% 2.72/1.93 % (25371)Time elapsed: 0.032 s
% 2.72/1.93 % (25371)Instructions burned: 108 (million)
% 2.72/1.93 % (25371)------------------------------
% 2.72/1.93 % (25371)------------------------------
% 2.72/1.93 % (25384)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/448Mi)
% 2.72/1.93 % (25286)Instruction limit reached!
% 2.72/1.93 % (25286)------------------------------
% 2.72/1.93 % (25286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.93 % (25286)Termination reason: Unknown
% 2.72/1.93 % (25286)Termination phase: Saturation
% 2.72/1.93
% 2.72/1.93 % (25286)Memory used [KB]: 6652
% 2.72/1.93 % (25286)Time elapsed: 0.200 s
% 2.72/1.93 % (25286)Instructions burned: 781 (million)
% 2.72/1.93 % (25286)------------------------------
% 2.72/1.93 % (25286)------------------------------
% 2.72/1.93 % (25386)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/46Mi)
% 2.72/1.93 % (25387)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/98Mi)
% 2.72/1.94 % (25389)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/507Mi)
% 2.72/1.94 % (25390)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/149Mi)
% 2.72/1.94 % (25386)Instruction limit reached!
% 2.72/1.94 % (25386)------------------------------
% 2.72/1.94 % (25386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.94 % (25386)Termination reason: Unknown
% 2.72/1.94 % (25386)Termination phase: Property scanning
% 2.72/1.94
% 2.72/1.94 % (25386)Memory used [KB]: 1791
% 2.72/1.94 % (25386)Time elapsed: 0.014 s
% 2.72/1.94 % (25386)Instructions burned: 47 (million)
% 2.72/1.94 % (25386)------------------------------
% 2.72/1.94 % (25386)------------------------------
% 2.72/1.95 % (25396)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/39Mi)
% 2.72/1.96 % (25387)Instruction limit reached!
% 2.72/1.96 % (25387)------------------------------
% 2.72/1.96 % (25387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.96 % (25387)Termination reason: Unknown
% 2.72/1.96 % (25387)Termination phase: Saturation
% 2.72/1.96
% 2.72/1.96 % (25387)Memory used [KB]: 2046
% 2.72/1.96 % (25387)Time elapsed: 0.026 s
% 2.72/1.96 % (25387)Instructions burned: 98 (million)
% 2.72/1.96 % (25387)------------------------------
% 2.72/1.96 % (25387)------------------------------
% 2.72/1.96 % (25396)Instruction limit reached!
% 2.72/1.96 % (25396)------------------------------
% 2.72/1.96 % (25396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.96 % (25396)Termination reason: Unknown
% 2.72/1.96 % (25396)Termination phase: Property scanning
% 2.72/1.96
% 2.72/1.96 % (25396)Memory used [KB]: 1791
% 2.72/1.96 % (25396)Time elapsed: 0.012 s
% 2.72/1.96 % (25396)Instructions burned: 40 (million)
% 2.72/1.96 % (25396)------------------------------
% 2.72/1.96 % (25396)------------------------------
% 2.72/1.97 % (25402)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/6Mi)
% 2.72/1.97 % (25402)Instruction limit reached!
% 2.72/1.97 % (25402)------------------------------
% 2.72/1.97 % (25402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.97 % (25402)Termination reason: Unknown
% 2.72/1.97 % (25402)Termination phase: shuffling
% 2.72/1.97
% 2.72/1.97 % (25402)Memory used [KB]: 1407
% 2.72/1.97 % (25402)Time elapsed: 0.003 s
% 2.72/1.97 % (25402)Instructions burned: 7 (million)
% 2.72/1.97 % (25402)------------------------------
% 2.72/1.97 % (25402)------------------------------
% 2.72/1.97 % (25406)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/1087Mi)
% 2.72/1.98 % (25410)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/47Mi)
% 2.72/1.99 % (25390)Instruction limit reached!
% 2.72/1.99 % (25390)------------------------------
% 2.72/1.99 % (25390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.99 % (25390)Termination reason: Unknown
% 2.72/1.99 % (25390)Termination phase: Saturation
% 2.72/1.99
% 2.72/1.99 % (25390)Memory used [KB]: 7036
% 2.72/1.99 % (25390)Time elapsed: 0.048 s
% 2.72/1.99 % (25390)Instructions burned: 151 (million)
% 2.72/1.99 % (25390)------------------------------
% 2.72/1.99 % (25390)------------------------------
% 2.72/1.99 % (25410)Instruction limit reached!
% 2.72/1.99 % (25410)------------------------------
% 2.72/1.99 % (25410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/1.99 % (25410)Termination reason: Unknown
% 2.72/1.99 % (25410)Termination phase: Property scanning
% 2.72/1.99
% 2.72/1.99 % (25410)Memory used [KB]: 1791
% 2.72/1.99 % (25410)Time elapsed: 0.013 s
% 2.72/1.99 % (25410)Instructions burned: 47 (million)
% 2.72/1.99 % (25410)------------------------------
% 2.72/1.99 % (25410)------------------------------
% 2.72/2.00 % (25416)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/44Mi)
% 2.72/2.00 % (25418)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/432Mi)
% 2.72/2.01 % (25416)Instruction limit reached!
% 2.72/2.01 % (25416)------------------------------
% 2.72/2.01 % (25416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/2.01 % (25416)Termination reason: Unknown
% 2.72/2.01 % (25416)Termination phase: SInE selection
% 2.72/2.01
% 2.72/2.01 % (25416)Memory used [KB]: 1663
% 2.72/2.01 % (25416)Time elapsed: 0.013 s
% 2.72/2.01 % (25416)Instructions burned: 44 (million)
% 2.72/2.01 % (25416)------------------------------
% 2.72/2.01 % (25416)------------------------------
% 2.72/2.01 % (25293)Instruction limit reached!
% 2.72/2.01 % (25293)------------------------------
% 2.72/2.01 % (25293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.72/2.01 % (25293)Termination reason: Unknown
% 2.72/2.01 % (25293)Termination phase: Saturation
% 2.72/2.01
% 2.72/2.01 % (25293)Memory used [KB]: 8187
% 2.72/2.01 % (25293)Time elapsed: 0.292 s
% 2.72/2.01 % (25293)Instructions burned: 880 (million)
% 2.72/2.01 % (25293)------------------------------
% 2.72/2.01 % (25293)------------------------------
% 5.46/2.02 % (25425)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/31Mi)
% 5.46/2.02 % (25424)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_24989 for (2996ds/62Mi)
% 5.46/2.03 % (25272)Instruction limit reached!
% 5.46/2.03 % (25272)------------------------------
% 5.46/2.03 % (25272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.03 % (25272)Termination reason: Unknown
% 5.46/2.03 % (25272)Termination phase: Saturation
% 5.46/2.03
% 5.46/2.03 % (25272)Memory used [KB]: 10234
% 5.46/2.03 % (25272)Time elapsed: 0.320 s
% 5.46/2.03 % (25272)Instructions burned: 904 (million)
% 5.46/2.03 % (25272)------------------------------
% 5.46/2.03 % (25272)------------------------------
% 5.46/2.03 % (25425)Instruction limit reached!
% 5.46/2.03 % (25425)------------------------------
% 5.46/2.03 % (25425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.03 % (25425)Termination reason: Unknown
% 5.46/2.03 % (25425)Termination phase: Property scanning
% 5.46/2.03
% 5.46/2.03 % (25425)Memory used [KB]: 1791
% 5.46/2.03 % (25425)Time elapsed: 0.010 s
% 5.46/2.03 % (25425)Instructions burned: 34 (million)
% 5.46/2.03 % (25425)------------------------------
% 5.46/2.03 % (25425)------------------------------
% 5.46/2.04 % (25424)Instruction limit reached!
% 5.46/2.04 % (25424)------------------------------
% 5.46/2.04 % (25424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.04 % (25424)Termination reason: Unknown
% 5.46/2.04 % (25424)Termination phase: Property scanning
% 5.46/2.04
% 5.46/2.04 % (25424)Memory used [KB]: 1791
% 5.46/2.04 % (25424)Time elapsed: 0.019 s
% 5.46/2.04 % (25424)Instructions burned: 63 (million)
% 5.46/2.04 % (25424)------------------------------
% 5.46/2.04 % (25424)------------------------------
% 5.46/2.04 % (25430)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/96Mi)
% 5.46/2.04 % (25432)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/453Mi)
% 5.46/2.04 % (25384)Instruction limit reached!
% 5.46/2.04 % (25384)------------------------------
% 5.46/2.04 % (25384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.04 % (25384)Termination reason: Unknown
% 5.46/2.04 % (25384)Termination phase: Saturation
% 5.46/2.04
% 5.46/2.04 % (25384)Memory used [KB]: 6652
% 5.46/2.04 % (25384)Time elapsed: 0.117 s
% 5.46/2.04 % (25384)Instructions burned: 448 (million)
% 5.46/2.04 % (25384)------------------------------
% 5.46/2.04 % (25384)------------------------------
% 5.46/2.05 % (25436)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/71Mi)
% 5.46/2.05 % (25438)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/83Mi)
% 5.46/2.06 % (25430)Instruction limit reached!
% 5.46/2.06 % (25430)------------------------------
% 5.46/2.06 % (25430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.06 % (25430)Termination reason: Unknown
% 5.46/2.06 % (25430)Termination phase: Saturation
% 5.46/2.06
% 5.46/2.06 % (25430)Memory used [KB]: 6652
% 5.46/2.06 % (25430)Time elapsed: 0.029 s
% 5.46/2.06 % (25430)Instructions burned: 98 (million)
% 5.46/2.06 % (25430)------------------------------
% 5.46/2.06 % (25430)------------------------------
% 5.46/2.07 % (25436)Instruction limit reached!
% 5.46/2.07 % (25436)------------------------------
% 5.46/2.07 % (25436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.07 % (25436)Termination reason: Unknown
% 5.46/2.07 % (25436)Termination phase: Saturation
% 5.46/2.07
% 5.46/2.07 % (25436)Memory used [KB]: 6396
% 5.46/2.07 % (25436)Time elapsed: 0.020 s
% 5.46/2.07 % (25436)Instructions burned: 71 (million)
% 5.46/2.07 % (25436)------------------------------
% 5.46/2.07 % (25436)------------------------------
% 5.46/2.08 % (25445)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/11Mi)
% 5.46/2.08 % (25446)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/41Mi)
% 5.46/2.08 % (25438)Instruction limit reached!
% 5.46/2.08 % (25438)------------------------------
% 5.46/2.08 % (25438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.08 % (25438)Termination reason: Unknown
% 5.46/2.08 % (25438)Termination phase: Property scanning
% 5.46/2.08
% 5.46/2.08 % (25438)Memory used [KB]: 1918
% 5.46/2.08 % (25438)Time elapsed: 0.024 s
% 5.46/2.08 % (25438)Instructions burned: 84 (million)
% 5.46/2.08 % (25438)------------------------------
% 5.46/2.08 % (25438)------------------------------
% 5.46/2.08 % (25445)Instruction limit reached!
% 5.46/2.08 % (25445)------------------------------
% 5.46/2.08 % (25445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.08 % (25445)Termination reason: Unknown
% 5.46/2.08 % (25445)Termination phase: shuffling
% 5.46/2.08
% 5.46/2.08 % (25445)Memory used [KB]: 1407
% 5.46/2.08 % (25445)Time elapsed: 0.004 s
% 5.46/2.08 % (25445)Instructions burned: 11 (million)
% 5.46/2.08 % (25445)------------------------------
% 5.46/2.08 % (25445)------------------------------
% 5.46/2.09 % (25446)Instruction limit reached!
% 5.46/2.09 % (25446)------------------------------
% 5.46/2.09 % (25446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.09 % (25446)Termination reason: Unknown
% 5.46/2.09 % (25446)Termination phase: Property scanning
% 5.46/2.09
% 5.46/2.09 % (25446)Memory used [KB]: 1791
% 5.46/2.09 % (25446)Time elapsed: 0.012 s
% 5.46/2.09 % (25446)Instructions burned: 43 (million)
% 5.46/2.09 % (25446)------------------------------
% 5.46/2.09 % (25446)------------------------------
% 5.46/2.09 % (25449)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/6Mi)
% 5.46/2.09 % (25450)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/150Mi)
% 5.46/2.09 % (25449)Instruction limit reached!
% 5.46/2.09 % (25449)------------------------------
% 5.46/2.09 % (25449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.09 % (25449)Termination reason: Unknown
% 5.46/2.09 % (25449)Termination phase: shuffling
% 5.46/2.09
% 5.46/2.09 % (25449)Memory used [KB]: 1407
% 5.46/2.09 % (25449)Time elapsed: 0.004 s
% 5.46/2.09 % (25449)Instructions burned: 8 (million)
% 5.46/2.09 % (25449)------------------------------
% 5.46/2.09 % (25449)------------------------------
% 5.46/2.10 % (25454)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/343Mi)
% 5.46/2.10 % (25389)Instruction limit reached!
% 5.46/2.10 % (25389)------------------------------
% 5.46/2.10 % (25389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.10 % (25389)Termination reason: Unknown
% 5.46/2.10 % (25389)Termination phase: Saturation
% 5.46/2.10
% 5.46/2.10 % (25389)Memory used [KB]: 7291
% 5.46/2.10 % (25389)Time elapsed: 0.164 s
% 5.46/2.10 % (25389)Instructions burned: 507 (million)
% 5.46/2.10 % (25389)------------------------------
% 5.46/2.10 % (25389)------------------------------
% 5.46/2.10 % (25457)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/109Mi)
% 5.46/2.11 % (25418)Instruction limit reached!
% 5.46/2.11 % (25418)------------------------------
% 5.46/2.11 % (25418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.11 % (25418)Termination reason: Unknown
% 5.46/2.11 % (25418)Termination phase: Saturation
% 5.46/2.11
% 5.46/2.11 % (25418)Memory used [KB]: 3070
% 5.46/2.11 % (25418)Time elapsed: 0.109 s
% 5.46/2.11 % (25418)Instructions burned: 433 (million)
% 5.46/2.11 % (25418)------------------------------
% 5.46/2.11 % (25418)------------------------------
% 5.46/2.11 % (25462)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_24989 for (2995ds/253Mi)
% 6.00/2.12 % (25468)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_24989 for (2994ds/140Mi)
% 6.00/2.13 % (25457)Instruction limit reached!
% 6.00/2.13 % (25457)------------------------------
% 6.00/2.13 % (25457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.13 % (25457)Termination reason: Unknown
% 6.00/2.13 % (25457)Termination phase: Saturation
% 6.00/2.13
% 6.00/2.13 % (25457)Memory used [KB]: 6652
% 6.00/2.13 % (25457)Time elapsed: 0.032 s
% 6.00/2.13 % (25457)Instructions burned: 111 (million)
% 6.00/2.13 % (25457)------------------------------
% 6.00/2.13 % (25457)------------------------------
% 6.00/2.14 % (25450)Instruction limit reached!
% 6.00/2.14 % (25450)------------------------------
% 6.00/2.14 % (25450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.14 % (25450)Termination reason: Unknown
% 6.00/2.14 % (25450)Termination phase: Saturation
% 6.00/2.14
% 6.00/2.14 % (25450)Memory used [KB]: 7803
% 6.00/2.14 % (25450)Time elapsed: 0.050 s
% 6.00/2.14 % (25450)Instructions burned: 152 (million)
% 6.00/2.14 % (25450)------------------------------
% 6.00/2.14 % (25450)------------------------------
% 6.00/2.14 % (25482)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_24989 for (2994ds/614Mi)
% 6.00/2.15 % (25487)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_24989 for (2994ds/202Mi)
% 6.00/2.15 % (25432)Instruction limit reached!
% 6.00/2.15 % (25432)------------------------------
% 6.00/2.15 % (25432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.15 % (25432)Termination reason: Unknown
% 6.00/2.15 % (25432)Termination phase: Saturation
% 6.00/2.15
% 6.00/2.15 % (25432)Memory used [KB]: 6524
% 6.00/2.15 % (25432)Time elapsed: 0.112 s
% 6.00/2.15 % (25432)Instructions burned: 453 (million)
% 6.00/2.15 % (25432)------------------------------
% 6.00/2.15 % (25432)------------------------------
% 6.00/2.15 % (25468)Instruction limit reached!
% 6.00/2.15 % (25468)------------------------------
% 6.00/2.15 % (25468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.15 % (25468)Termination reason: Unknown
% 6.00/2.15 % (25468)Termination phase: Saturation
% 6.00/2.15
% 6.00/2.15 % (25468)Memory used [KB]: 6524
% 6.00/2.15 % (25468)Time elapsed: 0.039 s
% 6.00/2.15 % (25468)Instructions burned: 140 (million)
% 6.00/2.15 % (25468)------------------------------
% 6.00/2.15 % (25468)------------------------------
% 6.00/2.16 % (25492)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_24989 for (2994ds/339Mi)
% 6.00/2.16 % (25493)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_24989 for (2994ds/283Mi)
% 6.00/2.19 % (25462)Instruction limit reached!
% 6.00/2.19 % (25462)------------------------------
% 6.00/2.19 % (25462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.19 % (25462)Termination reason: Unknown
% 6.00/2.19 % (25462)Termination phase: Saturation
% 6.00/2.19
% 6.00/2.19 % (25462)Memory used [KB]: 8059
% 6.00/2.19 % (25462)Time elapsed: 0.083 s
% 6.00/2.19 % (25462)Instructions burned: 255 (million)
% 6.00/2.19 % (25462)------------------------------
% 6.00/2.19 % (25462)------------------------------
% 6.00/2.20 % (25454)Instruction limit reached!
% 6.00/2.20 % (25454)------------------------------
% 6.00/2.20 % (25454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.20 % (25454)Termination reason: Unknown
% 6.00/2.20 % (25454)Termination phase: Saturation
% 6.00/2.20
% 6.00/2.20 % (25454)Memory used [KB]: 7675
% 6.00/2.20 % (25454)Time elapsed: 0.101 s
% 6.00/2.20 % (25454)Instructions burned: 345 (million)
% 6.00/2.20 % (25454)------------------------------
% 6.00/2.20 % (25454)------------------------------
% 6.55/2.20 % (25499)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_24989 for (2994ds/134Mi)
% 6.55/2.21 % (25500)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_24989 for (2994ds/298Mi)
% 6.55/2.21 % (25487)Instruction limit reached!
% 6.55/2.21 % (25487)------------------------------
% 6.55/2.21 % (25487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.21 % (25487)Termination reason: Unknown
% 6.55/2.21 % (25487)Termination phase: Saturation
% 6.55/2.21
% 6.55/2.21 % (25487)Memory used [KB]: 8443
% 6.55/2.21 % (25487)Time elapsed: 0.064 s
% 6.55/2.21 % (25487)Instructions burned: 204 (million)
% 6.55/2.21 % (25487)------------------------------
% 6.55/2.21 % (25487)------------------------------
% 6.55/2.22 % (25501)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_24989 for (2994ds/192Mi)
% 6.55/2.24 % (25493)Instruction limit reached!
% 6.55/2.24 % (25493)------------------------------
% 6.55/2.24 % (25493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.24 % (25493)Termination reason: Unknown
% 6.55/2.24 % (25493)Termination phase: Saturation
% 6.55/2.24
% 6.55/2.24 % (25493)Memory used [KB]: 9083
% 6.55/2.24 % (25493)Time elapsed: 0.073 s
% 6.55/2.24 % (25493)Instructions burned: 285 (million)
% 6.55/2.24 % (25493)------------------------------
% 6.55/2.24 % (25493)------------------------------
% 6.55/2.24 % (25499)Instruction limit reached!
% 6.55/2.24 % (25499)------------------------------
% 6.55/2.24 % (25499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.24 % (25499)Termination reason: Unknown
% 6.55/2.24 % (25499)Termination phase: Saturation
% 6.55/2.24
% 6.55/2.24 % (25499)Memory used [KB]: 6908
% 6.55/2.24 % (25499)Time elapsed: 0.037 s
% 6.55/2.24 % (25499)Instructions burned: 135 (million)
% 6.55/2.24 % (25499)------------------------------
% 6.55/2.24 % (25499)------------------------------
% 6.55/2.25 % (25502)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_24989 for (2993ds/258Mi)
% 6.55/2.25 % (25503)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_24989 for (2993ds/90Mi)
% 6.55/2.26 % (25492)Instruction limit reached!
% 6.55/2.26 % (25492)------------------------------
% 6.55/2.26 % (25492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.26 % (25492)Termination reason: Unknown
% 6.55/2.26 % (25492)Termination phase: Saturation
% 6.55/2.26
% 6.55/2.26 % (25492)Memory used [KB]: 7675
% 6.55/2.26 % (25492)Time elapsed: 0.100 s
% 6.55/2.26 % (25492)Instructions burned: 341 (million)
% 6.55/2.26 % (25492)------------------------------
% 6.55/2.26 % (25492)------------------------------
% 6.55/2.27 % (25504)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_24989 for (2993ds/231Mi)
% 6.55/2.27 % (25503)Instruction limit reached!
% 6.55/2.27 % (25503)------------------------------
% 6.55/2.27 % (25503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.27 % (25503)Termination reason: Unknown
% 6.55/2.27 % (25503)Termination phase: Saturation
% 6.55/2.27
% 6.55/2.27 % (25503)Memory used [KB]: 6908
% 6.55/2.27 % (25503)Time elapsed: 0.025 s
% 6.55/2.27 % (25503)Instructions burned: 91 (million)
% 6.55/2.27 % (25503)------------------------------
% 6.55/2.27 % (25503)------------------------------
% 6.55/2.27 % (25501)Instruction limit reached!
% 6.55/2.27 % (25501)------------------------------
% 6.55/2.27 % (25501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.27 % (25501)Termination reason: Unknown
% 6.55/2.27 % (25501)Termination phase: Saturation
% 6.55/2.27
% 6.55/2.27 % (25501)Memory used [KB]: 7547
% 6.55/2.27 % (25501)Time elapsed: 0.054 s
% 6.55/2.27 % (25501)Instructions burned: 194 (million)
% 6.55/2.27 % (25501)------------------------------
% 6.55/2.27 % (25501)------------------------------
% 6.55/2.28 % (25505)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_24989 for (2993ds/458Mi)
% 6.55/2.28 % (25500)Instruction limit reached!
% 6.55/2.28 % (25500)------------------------------
% 6.55/2.28 % (25500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.28 % (25500)Termination reason: Unknown
% 6.55/2.28 % (25500)Termination phase: Saturation
% 6.55/2.28
% 6.55/2.28 % (25500)Memory used [KB]: 6652
% 6.55/2.28 % (25500)Time elapsed: 0.077 s
% 6.55/2.28 % (25500)Instructions burned: 301 (million)
% 6.55/2.28 % (25500)------------------------------
% 6.55/2.28 % (25500)------------------------------
% 6.55/2.28 % (25506)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_24989 for (2993ds/31Mi)
% 6.55/2.29 % (25506)Instruction limit reached!
% 6.55/2.29 % (25506)------------------------------
% 6.55/2.29 % (25506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.55/2.29 % (25506)Termination reason: Unknown
% 6.55/2.29 % (25506)Termination phase: Property scanning
% 6.55/2.29
% 6.55/2.29 % (25506)Memory used [KB]: 1663
% 6.55/2.29 % (25506)Time elapsed: 0.010 s
% 6.55/2.29 % (25506)Instructions burned: 32 (million)
% 6.55/2.29 % (25506)------------------------------
% 6.55/2.29 % (25506)------------------------------
% 6.55/2.29 % (25507)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_24989 for (2993ds/297Mi)
% 7.15/2.30 % (25508)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_24989 for (2993ds/987Mi)
% 7.15/2.32 % (25502)Instruction limit reached!
% 7.15/2.32 % (25502)------------------------------
% 7.15/2.32 % (25502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.32 % (25502)Termination reason: Unknown
% 7.15/2.32 % (25502)Termination phase: Saturation
% 7.15/2.32
% 7.15/2.32 % (25502)Memory used [KB]: 7419
% 7.15/2.32 % (25502)Time elapsed: 0.075 s
% 7.15/2.32 % (25502)Instructions burned: 260 (million)
% 7.15/2.32 % (25502)------------------------------
% 7.15/2.32 % (25502)------------------------------
% 7.15/2.33 % (25482)Instruction limit reached!
% 7.15/2.33 % (25482)------------------------------
% 7.15/2.33 % (25482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.33 % (25482)Termination reason: Unknown
% 7.15/2.33 % (25482)Termination phase: Saturation
% 7.15/2.33
% 7.15/2.33 % (25482)Memory used [KB]: 8315
% 7.15/2.33 % (25482)Time elapsed: 0.188 s
% 7.15/2.33 % (25482)Instructions burned: 616 (million)
% 7.15/2.33 % (25482)------------------------------
% 7.15/2.33 % (25482)------------------------------
% 7.15/2.33 % (25509)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/182Mi)
% 7.15/2.33 % (25504)Instruction limit reached!
% 7.15/2.33 % (25504)------------------------------
% 7.15/2.33 % (25504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.33 % (25504)Termination reason: Unknown
% 7.15/2.33 % (25504)Termination phase: Saturation
% 7.15/2.33
% 7.15/2.33 % (25504)Memory used [KB]: 10618
% 7.15/2.33 % (25504)Time elapsed: 0.067 s
% 7.15/2.33 % (25504)Instructions burned: 232 (million)
% 7.15/2.33 % (25504)------------------------------
% 7.15/2.33 % (25504)------------------------------
% 7.15/2.34 % (25510)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/182Mi)
% 7.15/2.34 % (25511)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/154Mi)
% 7.15/2.36 % (25507)Instruction limit reached!
% 7.15/2.36 % (25507)------------------------------
% 7.15/2.36 % (25507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.36 % (25507)Termination reason: Unknown
% 7.15/2.36 % (25507)Termination phase: Saturation
% 7.15/2.36
% 7.15/2.36 % (25507)Memory used [KB]: 8059
% 7.15/2.36 % (25507)Time elapsed: 0.074 s
% 7.15/2.36 % (25507)Instructions burned: 297 (million)
% 7.15/2.36 % (25507)------------------------------
% 7.15/2.36 % (25507)------------------------------
% 7.15/2.36 % (25406)Instruction limit reached!
% 7.15/2.36 % (25406)------------------------------
% 7.15/2.36 % (25406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.36 % (25406)Termination reason: Unknown
% 7.15/2.36 % (25406)Termination phase: Saturation
% 7.15/2.36
% 7.15/2.36 % (25406)Memory used [KB]: 10234
% 7.15/2.36 % (25406)Time elapsed: 0.393 s
% 7.15/2.36 % (25406)Instructions burned: 1088 (million)
% 7.15/2.36 % (25406)------------------------------
% 7.15/2.36 % (25406)------------------------------
% 7.15/2.37 % (25512)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/79Mi)
% 7.15/2.37 % (25513)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/216Mi)
% 7.15/2.38 % (25509)Instruction limit reached!
% 7.15/2.38 % (25509)------------------------------
% 7.15/2.38 % (25509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.38 % (25509)Termination reason: Unknown
% 7.15/2.38 % (25509)Termination phase: Saturation
% 7.15/2.38
% 7.15/2.38 % (25509)Memory used [KB]: 7419
% 7.15/2.38 % (25509)Time elapsed: 0.052 s
% 7.15/2.38 % (25509)Instructions burned: 183 (million)
% 7.15/2.38 % (25509)------------------------------
% 7.15/2.38 % (25509)------------------------------
% 7.15/2.38 % (25511)Instruction limit reached!
% 7.15/2.38 % (25511)------------------------------
% 7.15/2.38 % (25511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.38 % (25511)Termination reason: Unknown
% 7.15/2.38 % (25511)Termination phase: Saturation
% 7.15/2.38
% 7.15/2.38 % (25511)Memory used [KB]: 6524
% 7.15/2.38 % (25511)Time elapsed: 0.040 s
% 7.15/2.38 % (25511)Instructions burned: 154 (million)
% 7.15/2.38 % (25511)------------------------------
% 7.15/2.38 % (25511)------------------------------
% 7.15/2.39 % (25514)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/114Mi)
% 7.15/2.39 % (25510)Instruction limit reached!
% 7.15/2.39 % (25510)------------------------------
% 7.15/2.39 % (25510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.39 % (25510)Termination reason: Unknown
% 7.15/2.39 % (25510)Termination phase: Saturation
% 7.15/2.39
% 7.15/2.39 % (25510)Memory used [KB]: 9338
% 7.15/2.39 % (25510)Time elapsed: 0.056 s
% 7.15/2.39 % (25510)Instructions burned: 182 (million)
% 7.15/2.39 % (25510)------------------------------
% 7.15/2.39 % (25510)------------------------------
% 7.15/2.39 % (25515)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/922Mi)
% 7.15/2.40 % (25512)Instruction limit reached!
% 7.15/2.40 % (25512)------------------------------
% 7.15/2.40 % (25512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.40 % (25512)Termination reason: Unknown
% 7.15/2.40 % (25512)Termination phase: Saturation
% 7.15/2.40
% 7.15/2.40 % (25512)Memory used [KB]: 6396
% 7.15/2.40 % (25512)Time elapsed: 0.023 s
% 7.15/2.40 % (25512)Instructions burned: 81 (million)
% 7.15/2.40 % (25512)------------------------------
% 7.15/2.40 % (25512)------------------------------
% 7.88/2.40 % (25516)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/182Mi)
% 7.88/2.40 % (25517)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/164Mi)
% 7.88/2.42 % (25505)Instruction limit reached!
% 7.88/2.42 % (25505)------------------------------
% 7.88/2.42 % (25505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.42 % (25505)Termination reason: Unknown
% 7.88/2.42 % (25505)Termination phase: Saturation
% 7.88/2.42
% 7.88/2.42 % (25505)Memory used [KB]: 7803
% 7.88/2.42 % (25505)Time elapsed: 0.139 s
% 7.88/2.42 % (25505)Instructions burned: 458 (million)
% 7.88/2.42 % (25505)------------------------------
% 7.88/2.42 % (25505)------------------------------
% 7.88/2.42 % (25514)Instruction limit reached!
% 7.88/2.42 % (25514)------------------------------
% 7.88/2.42 % (25514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.42 % (25514)Termination reason: Unknown
% 7.88/2.42 % (25514)Termination phase: Saturation
% 7.88/2.42
% 7.88/2.42 % (25514)Memory used [KB]: 6780
% 7.88/2.42 % (25514)Time elapsed: 0.032 s
% 7.88/2.42 % (25514)Instructions burned: 114 (million)
% 7.88/2.42 % (25514)------------------------------
% 7.88/2.42 % (25514)------------------------------
% 7.88/2.43 % (25518)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_24989 for (2992ds/50Mi)
% 7.88/2.43 % (25513)Instruction limit reached!
% 7.88/2.43 % (25513)------------------------------
% 7.88/2.43 % (25513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.43 % (25513)Termination reason: Unknown
% 7.88/2.43 % (25513)Termination phase: Saturation
% 7.88/2.43
% 7.88/2.43 % (25513)Memory used [KB]: 6652
% 7.88/2.43 % (25513)Time elapsed: 0.055 s
% 7.88/2.43 % (25513)Instructions burned: 218 (million)
% 7.88/2.43 % (25513)------------------------------
% 7.88/2.43 % (25513)------------------------------
% 7.88/2.43 % (25519)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_24989 for (2991ds/368Mi)
% 7.88/2.44 % (25520)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_24989 for (2991ds/1021Mi)
% 7.88/2.44 % (25518)Instruction limit reached!
% 7.88/2.44 % (25518)------------------------------
% 7.88/2.44 % (25518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.44 % (25518)Termination reason: Unknown
% 7.88/2.44 % (25518)Termination phase: Property scanning
% 7.88/2.44
% 7.88/2.44 % (25518)Memory used [KB]: 1791
% 7.88/2.44 % (25518)Time elapsed: 0.014 s
% 7.88/2.44 % (25518)Instructions burned: 51 (million)
% 7.88/2.44 % (25518)------------------------------
% 7.88/2.44 % (25518)------------------------------
% 7.88/2.45 % (25516)Instruction limit reached!
% 7.88/2.45 % (25516)------------------------------
% 7.88/2.45 % (25516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.45 % (25516)Termination reason: Unknown
% 7.88/2.45 % (25516)Termination phase: Saturation
% 7.88/2.45
% 7.88/2.45 % (25516)Memory used [KB]: 6524
% 7.88/2.45 % (25516)Time elapsed: 0.047 s
% 7.88/2.45 % (25516)Instructions burned: 184 (million)
% 7.88/2.45 % (25516)------------------------------
% 7.88/2.45 % (25516)------------------------------
% 7.88/2.45 % (25521)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_24989 for (2991ds/267Mi)
% 7.88/2.45 % (25517)Instruction limit reached!
% 7.88/2.45 % (25517)------------------------------
% 7.88/2.45 % (25517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.45 % (25517)Termination reason: Unknown
% 7.88/2.45 % (25517)Termination phase: Saturation
% 7.88/2.45
% 7.88/2.45 % (25517)Memory used [KB]: 2430
% 7.88/2.45 % (25517)Time elapsed: 0.047 s
% 7.88/2.45 % (25517)Instructions burned: 166 (million)
% 7.88/2.45 % (25517)------------------------------
% 7.88/2.45 % (25517)------------------------------
% 7.88/2.46 % (25522)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_24989 for (2991ds/204Mi)
% 7.88/2.46 % (25523)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_24989 for (2991ds/26Mi)
% 7.88/2.47 % (25523)Instruction limit reached!
% 7.88/2.47 % (25523)------------------------------
% 7.88/2.47 % (25523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.47 % (25523)Termination reason: Unknown
% 7.88/2.47 % (25523)Termination phase: Property scanning
% 7.88/2.47
% 7.88/2.47 % (25523)Memory used [KB]: 1663
% 7.88/2.47 % (25523)Time elapsed: 0.008 s
% 7.88/2.47 % (25523)Instructions burned: 26 (million)
% 7.88/2.47 % (25523)------------------------------
% 7.88/2.47 % (25523)------------------------------
% 7.88/2.48 % (25524)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_24989 for (2991ds/53Mi)
% 7.88/2.49 % (25524)Instruction limit reached!
% 7.88/2.49 % (25524)------------------------------
% 7.88/2.49 % (25524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.88/2.49 % (25524)Termination reason: Unknown
% 7.88/2.49 % (25524)Termination phase: Function definition elimination
% 7.88/2.49
% 7.88/2.49 % (25524)Memory used [KB]: 1791
% 7.88/2.49 % (25524)Time elapsed: 0.016 s
% 7.88/2.49 % (25524)Instructions burned: 56 (million)
% 7.88/2.49 % (25524)------------------------------
% 7.88/2.49 % (25524)------------------------------
% 8.31/2.50 % (25525)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_24989 for (2991ds/4436Mi)
% 8.31/2.51 % (25522)Instruction limit reached!
% 8.31/2.51 % (25522)------------------------------
% 8.31/2.51 % (25522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.31/2.51 % (25522)Termination reason: Unknown
% 8.31/2.51 % (25522)Termination phase: Saturation
% 8.31/2.51
% 8.31/2.51 % (25522)Memory used [KB]: 7291
% 8.31/2.51 % (25522)Time elapsed: 0.058 s
% 8.31/2.51 % (25522)Instructions burned: 206 (million)
% 8.31/2.51 % (25522)------------------------------
% 8.31/2.51 % (25522)------------------------------
% 8.31/2.52 % (25521)Instruction limit reached!
% 8.31/2.52 % (25521)------------------------------
% 8.31/2.52 % (25521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.31/2.52 % (25521)Termination reason: Unknown
% 8.31/2.52 % (25521)Termination phase: Saturation
% 8.31/2.52
% 8.31/2.52 % (25521)Memory used [KB]: 8955
% 8.31/2.52 % (25521)Time elapsed: 0.068 s
% 8.31/2.52 % (25521)Instructions burned: 270 (million)
% 8.31/2.52 % (25521)------------------------------
% 8.31/2.52 % (25521)------------------------------
% 8.31/2.52 % (25526)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_24989 for (2990ds/1539Mi)
% 8.31/2.53 % (25527)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_24989 for (2990ds/408Mi)
% 8.31/2.53 % (25519)Instruction limit reached!
% 8.31/2.53 % (25519)------------------------------
% 8.31/2.53 % (25519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.31/2.53 % (25519)Termination reason: Unknown
% 8.31/2.53 % (25519)Termination phase: Saturation
% 8.31/2.53
% 8.31/2.53 % (25519)Memory used [KB]: 7547
% 8.31/2.53 % (25519)Time elapsed: 0.121 s
% 8.31/2.53 % (25519)Instructions burned: 371 (million)
% 8.31/2.53 % (25519)------------------------------
% 8.31/2.53 % (25519)------------------------------
% 8.31/2.54 % (25528)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_24989 for (2990ds/5205Mi)
% 8.31/2.54 % (25508)Instruction limit reached!
% 8.31/2.54 % (25508)------------------------------
% 8.31/2.54 % (25508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.31/2.54 % (25508)Termination reason: Unknown
% 8.31/2.54 % (25508)Termination phase: Saturation
% 8.31/2.54
% 8.31/2.54 % (25508)Memory used [KB]: 9466
% 8.31/2.54 % (25508)Time elapsed: 0.241 s
% 8.31/2.54 % (25508)Instructions burned: 991 (million)
% 8.31/2.54 % (25508)------------------------------
% 8.31/2.54 % (25508)------------------------------
% 8.31/2.55 % (25529)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_24989 for (2990ds/1913Mi)
% 8.82/2.66 % (25527)Instruction limit reached!
% 8.82/2.66 % (25527)------------------------------
% 8.82/2.66 % (25527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.82/2.66 % (25527)Termination reason: Unknown
% 8.82/2.66 % (25527)Termination phase: Saturation
% 8.82/2.66
% 8.82/2.66 % (25527)Memory used [KB]: 9210
% 8.82/2.66 % (25527)Time elapsed: 0.134 s
% 8.82/2.66 % (25527)Instructions burned: 408 (million)
% 8.82/2.66 % (25527)------------------------------
% 8.82/2.66 % (25527)------------------------------
% 8.82/2.67 % (25530)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_24989 for (2989ds/4350Mi)
% 8.82/2.68 % (25515)Instruction limit reached!
% 8.82/2.68 % (25515)------------------------------
% 8.82/2.68 % (25515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.82/2.68 % (25515)Termination reason: Unknown
% 8.82/2.68 % (25515)Termination phase: Saturation
% 8.82/2.68
% 8.82/2.68 % (25515)Memory used [KB]: 9338
% 8.82/2.68 % (25515)Time elapsed: 0.295 s
% 8.82/2.68 % (25515)Instructions burned: 922 (million)
% 8.82/2.68 % (25515)------------------------------
% 8.82/2.68 % (25515)------------------------------
% 8.82/2.69 % (25531)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_24989 for (2989ds/68Mi)
% 9.27/2.71 % (25531)Instruction limit reached!
% 9.27/2.71 % (25531)------------------------------
% 9.27/2.71 % (25531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.27/2.71 % (25531)Termination reason: Unknown
% 9.27/2.71 % (25531)Termination phase: Property scanning
% 9.27/2.71
% 9.27/2.71 % (25531)Memory used [KB]: 1918
% 9.27/2.71 % (25531)Time elapsed: 0.019 s
% 9.27/2.71 % (25531)Instructions burned: 69 (million)
% 9.27/2.71 % (25531)------------------------------
% 9.27/2.71 % (25531)------------------------------
% 9.27/2.72 % (25532)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_24989 for (2988ds/358Mi)
% 9.27/2.76 % (25520)Instruction limit reached!
% 9.27/2.76 % (25520)------------------------------
% 9.27/2.76 % (25520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.27/2.76 % (25520)Termination reason: Unknown
% 9.27/2.76 % (25520)Termination phase: Saturation
% 9.27/2.76
% 9.27/2.76 % (25520)Memory used [KB]: 9722
% 9.27/2.76 % (25520)Time elapsed: 0.325 s
% 9.27/2.76 % (25520)Instructions burned: 1023 (million)
% 9.27/2.76 % (25520)------------------------------
% 9.27/2.76 % (25520)------------------------------
% 9.27/2.77 % (25533)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_24989 for (2988ds/31Mi)
% 9.27/2.78 % (25533)Instruction limit reached!
% 9.27/2.78 % (25533)------------------------------
% 9.27/2.78 % (25533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.27/2.78 % (25533)Termination reason: Unknown
% 9.27/2.78 % (25533)Termination phase: Property scanning
% 9.27/2.78
% 9.27/2.78 % (25533)Memory used [KB]: 1663
% 9.27/2.78 % (25533)Time elapsed: 0.010 s
% 9.27/2.78 % (25533)Instructions burned: 33 (million)
% 9.27/2.78 % (25533)------------------------------
% 9.27/2.78 % (25533)------------------------------
% 9.27/2.79 % (25534)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_24989 for (2988ds/279Mi)
% 9.65/2.83 % (25532)Instruction limit reached!
% 9.65/2.83 % (25532)------------------------------
% 9.65/2.83 % (25532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.65/2.83 % (25532)Termination reason: Unknown
% 9.65/2.83 % (25532)Termination phase: Saturation
% 9.65/2.83
% 9.65/2.83 % (25532)Memory used [KB]: 7547
% 9.65/2.83 % (25532)Time elapsed: 0.105 s
% 9.65/2.83 % (25532)Instructions burned: 358 (million)
% 9.65/2.83 % (25532)------------------------------
% 9.65/2.83 % (25532)------------------------------
% 9.65/2.84 % (25535)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_24989 for (2987ds/258Mi)
% 9.65/2.86 % (25534)Instruction limit reached!
% 9.65/2.86 % (25534)------------------------------
% 9.65/2.86 % (25534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.65/2.86 % (25534)Termination reason: Unknown
% 9.65/2.86 % (25534)Termination phase: Saturation
% 9.65/2.86
% 9.65/2.86 % (25534)Memory used [KB]: 6524
% 9.65/2.86 % (25534)Time elapsed: 0.069 s
% 9.65/2.86 % (25534)Instructions burned: 283 (million)
% 9.65/2.86 % (25534)------------------------------
% 9.65/2.86 % (25534)------------------------------
% 9.65/2.87 % (25536)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_24989 for (2987ds/26Mi)
% 9.65/2.88 % (25536)Instruction limit reached!
% 9.65/2.88 % (25536)------------------------------
% 9.65/2.88 % (25536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.65/2.88 % (25536)Termination reason: Unknown
% 9.65/2.88 % (25536)Termination phase: Property scanning
% 9.65/2.88
% 9.65/2.88 % (25536)Memory used [KB]: 1663
% 9.65/2.88 % (25536)Time elapsed: 0.009 s
% 9.65/2.88 % (25536)Instructions burned: 28 (million)
% 9.65/2.88 % (25536)------------------------------
% 9.65/2.88 % (25536)------------------------------
% 9.65/2.88 % (25537)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_24989 for (2987ds/995Mi)
% 9.85/2.91 % (25535)Instruction limit reached!
% 9.85/2.91 % (25535)------------------------------
% 9.85/2.91 % (25535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.85/2.91 % (25535)Termination reason: Unknown
% 9.85/2.91 % (25535)Termination phase: Saturation
% 9.85/2.91
% 9.85/2.91 % (25535)Memory used [KB]: 7931
% 9.85/2.91 % (25535)Time elapsed: 0.072 s
% 9.85/2.91 % (25535)Instructions burned: 260 (million)
% 9.85/2.91 % (25535)------------------------------
% 9.85/2.91 % (25535)------------------------------
% 9.85/2.92 % (25538)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_24989 for (2987ds/373Mi)
% 9.85/3.00 % (25526)Instruction limit reached!
% 9.85/3.00 % (25526)------------------------------
% 9.85/3.00 % (25526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.85/3.00 % (25526)Termination reason: Unknown
% 9.85/3.00 % (25526)Termination phase: Saturation
% 9.85/3.00
% 9.85/3.00 % (25526)Memory used [KB]: 8827
% 9.85/3.00 % (25526)Time elapsed: 0.480 s
% 9.85/3.00 % (25526)Instructions burned: 1540 (million)
% 9.85/3.00 % (25526)------------------------------
% 9.85/3.00 % (25526)------------------------------
% 9.85/3.01 % (25539)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_24989 for (2986ds/253Mi)
% 12.53/3.03 % (25538)Instruction limit reached!
% 12.53/3.03 % (25538)------------------------------
% 12.53/3.03 % (25538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.53/3.03 % (25538)Termination reason: Unknown
% 12.53/3.03 % (25538)Termination phase: Saturation
% 12.53/3.03
% 12.53/3.03 % (25538)Memory used [KB]: 7675
% 12.53/3.03 % (25538)Time elapsed: 0.112 s
% 12.53/3.03 % (25538)Instructions burned: 374 (million)
% 12.53/3.03 % (25538)------------------------------
% 12.53/3.03 % (25538)------------------------------
% 12.53/3.04 % (25540)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_24989 for (2985ds/832Mi)
% 12.53/3.08 % (25539)Instruction limit reached!
% 12.53/3.08 % (25539)------------------------------
% 12.53/3.08 % (25539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.53/3.08 % (25539)Termination reason: Unknown
% 12.53/3.08 % (25539)Termination phase: Saturation
% 12.53/3.08
% 12.53/3.08 % (25539)Memory used [KB]: 6780
% 12.53/3.08 % (25539)Time elapsed: 0.065 s
% 12.53/3.08 % (25539)Instructions burned: 254 (million)
% 12.53/3.08 % (25539)------------------------------
% 12.53/3.08 % (25539)------------------------------
% 12.53/3.09 % (25541)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_24989 for (2985ds/668Mi)
% 13.11/3.13 % (25537)Instruction limit reached!
% 13.11/3.13 % (25537)------------------------------
% 13.11/3.13 % (25537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.11/3.13 % (25537)Termination reason: Unknown
% 13.11/3.13 % (25537)Termination phase: Saturation
% 13.11/3.13
% 13.11/3.13 % (25537)Memory used [KB]: 8955
% 13.11/3.13 % (25537)Time elapsed: 0.242 s
% 13.11/3.13 % (25537)Instructions burned: 999 (million)
% 13.11/3.13 % (25537)------------------------------
% 13.11/3.13 % (25537)------------------------------
% 13.11/3.13 % (25529)Instruction limit reached!
% 13.11/3.13 % (25529)------------------------------
% 13.11/3.13 % (25529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.11/3.13 % (25529)Termination reason: Unknown
% 13.11/3.13 % (25529)Termination phase: Saturation
% 13.11/3.13
% 13.11/3.13 % (25529)Memory used [KB]: 3965
% 13.11/3.13 % (25529)Time elapsed: 0.586 s
% 13.11/3.13 % (25529)Instructions burned: 1913 (million)
% 13.11/3.13 % (25529)------------------------------
% 13.11/3.13 % (25529)------------------------------
% 13.11/3.14 % (25542)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_24989 for (2984ds/40Mi)
% 13.11/3.14 % (25543)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_24989 for (2984ds/294Mi)
% 13.11/3.15 % (25542)Instruction limit reached!
% 13.11/3.15 % (25542)------------------------------
% 13.11/3.15 % (25542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.11/3.15 % (25542)Termination reason: Unknown
% 13.11/3.15 % (25542)Termination phase: Property scanning
% 13.11/3.15
% 13.11/3.15 % (25542)Memory used [KB]: 1791
% 13.11/3.15 % (25542)Time elapsed: 0.012 s
% 13.11/3.15 % (25542)Instructions burned: 40 (million)
% 13.11/3.15 % (25542)------------------------------
% 13.11/3.15 % (25542)------------------------------
% 13.11/3.16 % (25544)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_24989 for (2984ds/187Mi)
% 13.37/3.21 % (25544)Instruction limit reached!
% 13.37/3.21 % (25544)------------------------------
% 13.37/3.21 % (25544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.37/3.21 % (25544)Termination reason: Unknown
% 13.37/3.21 % (25544)Termination phase: Saturation
% 13.37/3.21
% 13.37/3.21 % (25544)Memory used [KB]: 7547
% 13.37/3.21 % (25544)Time elapsed: 0.053 s
% 13.37/3.21 % (25544)Instructions burned: 188 (million)
% 13.37/3.21 % (25544)------------------------------
% 13.37/3.21 % (25544)------------------------------
% 13.37/3.22 % (25545)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_24989 for (2984ds/371Mi)
% 13.37/3.22 % (25543)Instruction limit reached!
% 13.37/3.22 % (25543)------------------------------
% 13.37/3.22 % (25543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.37/3.22 % (25543)Termination reason: Unknown
% 13.37/3.22 % (25543)Termination phase: Saturation
% 13.37/3.22
% 13.37/3.22 % (25543)Memory used [KB]: 6524
% 13.37/3.22 % (25543)Time elapsed: 0.075 s
% 13.37/3.22 % (25543)Instructions burned: 297 (million)
% 13.37/3.22 % (25543)------------------------------
% 13.37/3.22 % (25543)------------------------------
% 13.37/3.23 % (25547)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_24989 for (2983ds/1827Mi)
% 13.37/3.25 % (25541)Instruction limit reached!
% 13.37/3.25 % (25541)------------------------------
% 13.37/3.25 % (25541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.37/3.25 % (25541)Termination reason: Unknown
% 13.37/3.25 % (25541)Termination phase: Saturation
% 13.37/3.25
% 13.37/3.25 % (25541)Memory used [KB]: 13688
% 13.37/3.25 % (25541)Time elapsed: 0.167 s
% 13.37/3.25 % (25541)Instructions burned: 670 (million)
% 13.37/3.25 % (25541)------------------------------
% 13.37/3.25 % (25541)------------------------------
% 13.37/3.26 % (25548)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_24989 for (2983ds/70Mi)
% 13.37/3.28 % (25548)Instruction limit reached!
% 13.37/3.28 % (25548)------------------------------
% 13.37/3.28 % (25548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.37/3.28 % (25548)Termination reason: Unknown
% 13.37/3.28 % (25548)Termination phase: Property scanning
% 13.37/3.28
% 13.37/3.28 % (25548)Memory used [KB]: 1791
% 13.37/3.28 % (25548)Time elapsed: 0.020 s
% 13.37/3.28 % (25548)Instructions burned: 74 (million)
% 13.37/3.28 % (25548)------------------------------
% 13.37/3.28 % (25548)------------------------------
% 13.37/3.29 % (25549)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_24989 for (2983ds/316Mi)
% 14.03/3.30 % (25540)Instruction limit reached!
% 14.03/3.30 % (25540)------------------------------
% 14.03/3.30 % (25540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.03/3.30 % (25540)Termination reason: Unknown
% 14.03/3.30 % (25540)Termination phase: Saturation
% 14.03/3.30
% 14.03/3.30 % (25540)Memory used [KB]: 9210
% 14.03/3.30 % (25540)Time elapsed: 0.262 s
% 14.03/3.30 % (25540)Instructions burned: 832 (million)
% 14.03/3.30 % (25540)------------------------------
% 14.03/3.30 % (25540)------------------------------
% 14.03/3.31 % (25550)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_24989 for (2983ds/932Mi)
% 14.03/3.33 % (25545)Instruction limit reached!
% 14.03/3.33 % (25545)------------------------------
% 14.03/3.33 % (25545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.03/3.33 % (25545)Termination reason: Unknown
% 14.03/3.33 % (25545)Termination phase: Saturation
% 14.03/3.33
% 14.03/3.33 % (25545)Memory used [KB]: 7803
% 14.03/3.33 % (25545)Time elapsed: 0.112 s
% 14.03/3.33 % (25545)Instructions burned: 373 (million)
% 14.03/3.33 % (25545)------------------------------
% 14.03/3.33 % (25545)------------------------------
% 14.03/3.34 % (25551)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_24989 for (2982ds/4714Mi)
% 14.03/3.37 % (25549)Instruction limit reached!
% 14.03/3.37 % (25549)------------------------------
% 14.03/3.37 % (25549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.03/3.37 % (25549)Termination reason: Unknown
% 14.03/3.37 % (25549)Termination phase: Saturation
% 14.03/3.37
% 14.03/3.37 % (25549)Memory used [KB]: 7547
% 14.03/3.37 % (25549)Time elapsed: 0.081 s
% 14.03/3.37 % (25549)Instructions burned: 318 (million)
% 14.03/3.37 % (25549)------------------------------
% 14.03/3.37 % (25549)------------------------------
% 14.03/3.38 % (25552)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_24989 for (2982ds/8250Mi)
% 15.11/3.54 % (25550)Instruction limit reached!
% 15.11/3.54 % (25550)------------------------------
% 15.11/3.54 % (25550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.11/3.54 % (25550)Termination reason: Unknown
% 15.11/3.54 % (25550)Termination phase: Saturation
% 15.11/3.54
% 15.11/3.54 % (25550)Memory used [KB]: 10234
% 15.11/3.54 % (25550)Time elapsed: 0.236 s
% 15.11/3.54 % (25550)Instructions burned: 932 (million)
% 15.11/3.54 % (25550)------------------------------
% 15.11/3.54 % (25550)------------------------------
% 15.11/3.55 % (25553)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_24989 for (2980ds/770Mi)
% 15.96/3.76 % (25553)Instruction limit reached!
% 15.96/3.76 % (25553)------------------------------
% 15.96/3.76 % (25553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.96/3.76 % (25553)Termination reason: Unknown
% 15.96/3.76 % (25553)Termination phase: Saturation
% 15.96/3.76
% 15.96/3.76 % (25553)Memory used [KB]: 6780
% 15.96/3.76 % (25553)Time elapsed: 0.212 s
% 15.96/3.76 % (25553)Instructions burned: 771 (million)
% 15.96/3.76 % (25553)------------------------------
% 15.96/3.76 % (25553)------------------------------
% 15.96/3.77 % (25547)Instruction limit reached!
% 15.96/3.77 % (25547)------------------------------
% 15.96/3.77 % (25547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.96/3.77 % (25547)Termination reason: Unknown
% 15.96/3.77 % (25547)Termination phase: Saturation
% 15.96/3.77
% 15.96/3.77 % (25547)Memory used [KB]: 15863
% 15.96/3.77 % (25547)Time elapsed: 0.541 s
% 15.96/3.77 % (25547)Instructions burned: 1827 (million)
% 15.96/3.77 % (25547)------------------------------
% 15.96/3.77 % (25547)------------------------------
% 15.96/3.77 % (25554)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_24989 for (2978ds/794Mi)
% 15.96/3.78 % (25555)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_24989 for (2978ds/464Mi)
% 15.96/3.80 % (25528)Instruction limit reached!
% 15.96/3.80 % (25528)------------------------------
% 15.96/3.80 % (25528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.96/3.80 % (25528)Termination reason: Unknown
% 15.96/3.80 % (25528)Termination phase: Saturation
% 15.96/3.80
% 15.96/3.80 % (25528)Memory used [KB]: 10618
% 15.96/3.80 % (25528)Time elapsed: 1.259 s
% 15.96/3.80 % (25528)Instructions burned: 5206 (million)
% 15.96/3.80 % (25528)------------------------------
% 15.96/3.80 % (25528)------------------------------
% 17.05/3.81 % (25556)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_24989 for (2978ds/1376Mi)
% 17.25/3.90 % (25525)Instruction limit reached!
% 17.25/3.90 % (25525)------------------------------
% 17.25/3.90 % (25525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.25/3.90 % (25525)Termination reason: Unknown
% 17.25/3.90 % (25525)Termination phase: Saturation
% 17.25/3.90
% 17.25/3.90 % (25525)Memory used [KB]: 16247
% 17.25/3.90 % (25525)Time elapsed: 1.403 s
% 17.25/3.90 % (25525)Instructions burned: 4438 (million)
% 17.25/3.90 % (25525)------------------------------
% 17.25/3.90 % (25525)------------------------------
% 17.25/3.91 % (25557)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_24989 for (2976ds/906Mi)
% 17.25/3.91 % (25555)Instruction limit reached!
% 17.25/3.91 % (25555)------------------------------
% 17.25/3.91 % (25555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.25/3.91 % (25555)Termination reason: Unknown
% 17.25/3.91 % (25555)Termination phase: Saturation
% 17.25/3.91
% 17.25/3.91 % (25555)Memory used [KB]: 7675
% 17.25/3.91 % (25555)Time elapsed: 0.138 s
% 17.25/3.91 % (25555)Instructions burned: 467 (million)
% 17.25/3.91 % (25555)------------------------------
% 17.25/3.91 % (25555)------------------------------
% 17.25/3.92 % (25558)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_24989 for (2976ds/434Mi)
% 17.25/3.99 % (25530)Instruction limit reached!
% 17.25/3.99 % (25530)------------------------------
% 17.25/3.99 % (25530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.25/3.99 % (25530)Termination reason: Unknown
% 17.25/3.99 % (25530)Termination phase: Saturation
% 17.25/3.99
% 17.25/3.99 % (25530)Memory used [KB]: 10490
% 17.25/3.99 % (25530)Time elapsed: 1.321 s
% 17.25/3.99 % (25530)Instructions burned: 4350 (million)
% 17.25/3.99 % (25530)------------------------------
% 17.25/3.99 % (25530)------------------------------
% 17.25/4.00 % (25559)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_24989 for (2976ds/865Mi)
% 17.25/4.02 % (25554)Instruction limit reached!
% 17.25/4.02 % (25554)------------------------------
% 17.25/4.02 % (25554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.25/4.02 % (25554)Termination reason: Unknown
% 17.25/4.02 % (25554)Termination phase: Saturation
% 17.25/4.02
% 17.25/4.02 % (25554)Memory used [KB]: 3965
% 17.25/4.02 % (25554)Time elapsed: 0.247 s
% 17.25/4.02 % (25554)Instructions burned: 794 (million)
% 17.25/4.02 % (25554)------------------------------
% 17.25/4.02 % (25554)------------------------------
% 19.56/4.03 % (25560)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_24989 for (2975ds/593Mi)
% 19.56/4.06 % (25558)Instruction limit reached!
% 19.56/4.06 % (25558)------------------------------
% 19.56/4.06 % (25558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.56/4.06 % (25558)Termination reason: Unknown
% 19.56/4.06 % (25558)Termination phase: Saturation
% 19.56/4.06
% 19.56/4.06 % (25558)Memory used [KB]: 8827
% 19.56/4.06 % (25558)Time elapsed: 0.133 s
% 19.56/4.06 % (25558)Instructions burned: 434 (million)
% 19.56/4.06 % (25558)------------------------------
% 19.56/4.06 % (25558)------------------------------
% 19.56/4.07 % (25561)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_24989 for (2975ds/443Mi)
% 20.11/4.15 % (25556)Instruction limit reached!
% 20.11/4.15 % (25556)------------------------------
% 20.11/4.15 % (25556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.11/4.15 % (25556)Termination reason: Unknown
% 20.11/4.15 % (25556)Termination phase: Saturation
% 20.11/4.15
% 20.11/4.15 % (25556)Memory used [KB]: 8315
% 20.11/4.15 % (25556)Time elapsed: 0.348 s
% 20.11/4.15 % (25556)Instructions burned: 1379 (million)
% 20.11/4.15 % (25556)------------------------------
% 20.11/4.15 % (25556)------------------------------
% 20.11/4.16 % (25562)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_24989 for (2974ds/594Mi)
% 20.11/4.17 % (25560)Instruction limit reached!
% 20.11/4.17 % (25560)------------------------------
% 20.11/4.17 % (25560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.11/4.17 % (25560)Termination reason: Unknown
% 20.11/4.17 % (25560)Termination phase: Saturation
% 20.11/4.17
% 20.11/4.17 % (25560)Memory used [KB]: 6652
% 20.11/4.17 % (25560)Time elapsed: 0.141 s
% 20.11/4.17 % (25560)Instructions burned: 593 (million)
% 20.11/4.17 % (25560)------------------------------
% 20.11/4.17 % (25560)------------------------------
% 20.11/4.18 % (25563)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_24989 for (2974ds/327Mi)
% 20.11/4.19 % (25557)Instruction limit reached!
% 20.11/4.19 % (25557)------------------------------
% 20.11/4.19 % (25557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.11/4.19 % (25557)Termination reason: Unknown
% 20.11/4.19 % (25557)Termination phase: Saturation
% 20.11/4.19
% 20.11/4.19 % (25557)Memory used [KB]: 9722
% 20.11/4.19 % (25557)Time elapsed: 0.273 s
% 20.11/4.19 % (25557)Instructions burned: 906 (million)
% 20.11/4.19 % (25557)------------------------------
% 20.11/4.19 % (25557)------------------------------
% 20.11/4.20 % (25564)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_24989 for (2974ds/5411Mi)
% 20.57/4.20 % (25561)Instruction limit reached!
% 20.57/4.20 % (25561)------------------------------
% 20.57/4.20 % (25561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.57/4.20 % (25561)Termination reason: Unknown
% 20.57/4.20 % (25561)Termination phase: Saturation
% 20.57/4.20
% 20.57/4.20 % (25561)Memory used [KB]: 7803
% 20.57/4.20 % (25561)Time elapsed: 0.134 s
% 20.57/4.20 % (25561)Instructions burned: 445 (million)
% 20.57/4.20 % (25561)------------------------------
% 20.57/4.20 % (25561)------------------------------
% 20.57/4.21 % (25565)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_24989 for (2974ds/1762Mi)
% 20.57/4.22 % (25559)Instruction limit reached!
% 20.57/4.22 % (25559)------------------------------
% 20.57/4.22 % (25559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.57/4.22 % (25559)Termination reason: Unknown
% 20.57/4.22 % (25559)Termination phase: Saturation
% 20.57/4.22
% 20.57/4.22 % (25559)Memory used [KB]: 7291
% 20.57/4.22 % (25559)Time elapsed: 0.225 s
% 20.57/4.22 % (25559)Instructions burned: 865 (million)
% 20.57/4.22 % (25559)------------------------------
% 20.57/4.22 % (25559)------------------------------
% 20.57/4.23 % (25566)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_24989 for (2973ds/96Mi)
% 20.57/4.26 % (25566)Instruction limit reached!
% 20.57/4.26 % (25566)------------------------------
% 20.57/4.26 % (25566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.57/4.26 % (25566)Termination reason: Unknown
% 20.57/4.26 % (25566)Termination phase: Saturation
% 20.57/4.26
% 20.57/4.26 % (25566)Memory used [KB]: 6524
% 20.57/4.26 % (25566)Time elapsed: 0.026 s
% 20.57/4.26 % (25566)Instructions burned: 99 (million)
% 20.57/4.26 % (25566)------------------------------
% 20.57/4.26 % (25566)------------------------------
% 20.57/4.27 % (25567)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_24989 for (2973ds/503Mi)
% 20.57/4.28 % (25563)Instruction limit reached!
% 20.57/4.28 % (25563)------------------------------
% 20.57/4.28 % (25563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.57/4.28 % (25563)Termination reason: Unknown
% 20.57/4.28 % (25563)Termination phase: Saturation
% 20.57/4.28
% 20.57/4.28 % (25563)Memory used [KB]: 9338
% 20.57/4.28 % (25563)Time elapsed: 0.105 s
% 20.57/4.28 % (25563)Instructions burned: 329 (million)
% 20.57/4.28 % (25563)------------------------------
% 20.57/4.28 % (25563)------------------------------
% 20.57/4.29 % (25568)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_24989 for (2973ds/90Mi)
% 21.11/4.32 % (25568)Instruction limit reached!
% 21.11/4.32 % (25568)------------------------------
% 21.11/4.32 % (25568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.11/4.32 % (25568)Termination reason: Unknown
% 21.11/4.32 % (25568)Termination phase: Saturation
% 21.11/4.32
% 21.11/4.32 % (25568)Memory used [KB]: 6780
% 21.11/4.32 % (25568)Time elapsed: 0.025 s
% 21.11/4.32 % (25568)Instructions burned: 91 (million)
% 21.11/4.32 % (25568)------------------------------
% 21.11/4.32 % (25568)------------------------------
% 21.11/4.33 % (25569)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_24989 for (2972ds/593Mi)
% 21.11/4.33 % (25551)Instruction limit reached!
% 21.11/4.33 % (25551)------------------------------
% 21.11/4.33 % (25551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.11/4.33 % (25551)Termination reason: Unknown
% 21.11/4.33 % (25551)Termination phase: Saturation
% 21.11/4.33
% 21.11/4.33 % (25551)Memory used [KB]: 7036
% 21.11/4.33 % (25551)Time elapsed: 0.996 s
% 21.11/4.33 % (25551)Instructions burned: 4715 (million)
% 21.11/4.33 % (25551)------------------------------
% 21.11/4.33 % (25551)------------------------------
% 21.11/4.34 % (25562)Instruction limit reached!
% 21.11/4.34 % (25562)------------------------------
% 21.11/4.34 % (25562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.11/4.34 % (25562)Termination reason: Unknown
% 21.11/4.34 % (25562)Termination phase: Saturation
% 21.11/4.34
% 21.11/4.34 % (25562)Memory used [KB]: 7931
% 21.11/4.34 % (25562)Time elapsed: 0.180 s
% 21.11/4.34 % (25562)Instructions burned: 595 (million)
% 21.11/4.34 % (25562)------------------------------
% 21.11/4.34 % (25562)------------------------------
% 21.11/4.34 % (25570)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_24989 for (2972ds/1512Mi)
% 21.11/4.35 % (25571)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_24989 for (2972ds/569Mi)
% 21.48/4.42 % (25567)Instruction limit reached!
% 21.48/4.42 % (25567)------------------------------
% 21.48/4.42 % (25567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.48/4.42 % (25567)Termination reason: Unknown
% 21.48/4.42 % (25567)Termination phase: Saturation
% 21.48/4.42
% 21.48/4.42 % (25567)Memory used [KB]: 7803
% 21.48/4.42 % (25567)Time elapsed: 0.155 s
% 21.48/4.42 % (25567)Instructions burned: 503 (million)
% 21.48/4.42 % (25567)------------------------------
% 21.48/4.42 % (25567)------------------------------
% 21.48/4.43 % (25572)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_24989 for (2971ds/501Mi)
% 21.48/4.49 % (25571)Instruction limit reached!
% 21.48/4.49 % (25571)------------------------------
% 21.48/4.49 % (25571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.48/4.49 % (25571)Termination reason: Unknown
% 21.48/4.49 % (25571)Termination phase: Saturation
% 21.48/4.49
% 21.48/4.49 % (25571)Memory used [KB]: 8955
% 21.48/4.49 % (25571)Time elapsed: 0.141 s
% 21.48/4.49 % (25571)Instructions burned: 569 (million)
% 21.48/4.49 % (25571)------------------------------
% 21.48/4.49 % (25571)------------------------------
% 21.89/4.50 % (25574)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_24989 for (2971ds/562Mi)
% 21.89/4.51 % (25569)Instruction limit reached!
% 21.89/4.51 % (25569)------------------------------
% 21.89/4.51 % (25569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.89/4.51 % (25569)Termination reason: Unknown
% 21.89/4.51 % (25569)Termination phase: Saturation
% 21.89/4.51
% 21.89/4.51 % (25569)Memory used [KB]: 8059
% 21.89/4.51 % (25569)Time elapsed: 0.183 s
% 21.89/4.51 % (25569)Instructions burned: 593 (million)
% 21.89/4.51 % (25569)------------------------------
% 21.89/4.51 % (25569)------------------------------
% 21.89/4.52 % (25575)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_24989 for (2971ds/406Mi)
% 21.89/4.58 % (25572)Instruction limit reached!
% 21.89/4.58 % (25572)------------------------------
% 21.89/4.58 % (25572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.89/4.58 % (25572)Termination reason: Unknown
% 21.89/4.58 % (25572)Termination phase: Saturation
% 21.89/4.58
% 21.89/4.58 % (25572)Memory used [KB]: 8827
% 21.89/4.58 % (25572)Time elapsed: 0.154 s
% 21.89/4.58 % (25572)Instructions burned: 503 (million)
% 21.89/4.58 % (25572)------------------------------
% 21.89/4.58 % (25572)------------------------------
% 21.89/4.59 % (25576)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_24989 for (2970ds/582Mi)
% 22.36/4.63 % (25575)Instruction limit reached!
% 22.36/4.63 % (25575)------------------------------
% 22.36/4.63 % (25575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.36/4.63 % (25575)Termination reason: Unknown
% 22.36/4.63 % (25575)Termination phase: Saturation
% 22.36/4.63
% 22.36/4.63 % (25575)Memory used [KB]: 7036
% 22.36/4.63 % (25575)Time elapsed: 0.113 s
% 22.36/4.63 % (25575)Instructions burned: 406 (million)
% 22.36/4.63 % (25575)------------------------------
% 22.36/4.63 % (25575)------------------------------
% 22.36/4.64 % (25577)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_24989 for (2969ds/456Mi)
% 22.36/4.65 % (25565)Instruction limit reached!
% 22.36/4.65 % (25565)------------------------------
% 22.36/4.65 % (25565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.36/4.65 % (25565)Termination reason: Unknown
% 22.36/4.65 % (25565)Termination phase: Saturation
% 22.36/4.65
% 22.36/4.65 % (25565)Memory used [KB]: 12025
% 22.36/4.65 % (25565)Time elapsed: 0.441 s
% 22.36/4.65 % (25565)Instructions burned: 1765 (million)
% 22.36/4.65 % (25565)------------------------------
% 22.36/4.65 % (25565)------------------------------
% 22.36/4.66 % (25578)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_24989 for (2969ds/393Mi)
% 22.36/4.67 % (25574)Instruction limit reached!
% 22.36/4.67 % (25574)------------------------------
% 22.36/4.67 % (25574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.36/4.67 % (25574)Termination reason: Unknown
% 22.36/4.67 % (25574)Termination phase: Saturation
% 22.36/4.67
% 22.36/4.67 % (25574)Memory used [KB]: 7803
% 22.36/4.67 % (25574)Time elapsed: 0.169 s
% 22.36/4.67 % (25574)Instructions burned: 562 (million)
% 22.36/4.67 % (25574)------------------------------
% 22.36/4.67 % (25574)------------------------------
% 22.36/4.68 % (25579)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_24989 for (2969ds/1335Mi)
% 23.20/4.77 % (25576)Instruction limit reached!
% 23.20/4.77 % (25576)------------------------------
% 23.20/4.77 % (25576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.20/4.77 % (25576)Termination reason: Unknown
% 23.20/4.77 % (25576)Termination phase: Saturation
% 23.20/4.77
% 23.20/4.77 % (25576)Memory used [KB]: 8955
% 23.20/4.77 % (25576)Time elapsed: 0.179 s
% 23.20/4.77 % (25576)Instructions burned: 583 (million)
% 23.20/4.77 % (25576)------------------------------
% 23.20/4.77 % (25576)------------------------------
% 23.20/4.77 % (25577)Instruction limit reached!
% 23.20/4.77 % (25577)------------------------------
% 23.20/4.77 % (25577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.20/4.77 % (25577)Termination reason: Unknown
% 23.20/4.77 % (25577)Termination phase: Saturation
% 23.20/4.77
% 23.20/4.77 % (25577)Memory used [KB]: 7931
% 23.20/4.77 % (25577)Time elapsed: 0.136 s
% 23.20/4.77 % (25577)Instructions burned: 457 (million)
% 23.20/4.77 % (25577)------------------------------
% 23.20/4.77 % (25577)------------------------------
% 23.20/4.78 % (25578)Instruction limit reached!
% 23.20/4.78 % (25578)------------------------------
% 23.20/4.78 % (25578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.20/4.78 % (25578)Termination reason: Unknown
% 23.20/4.78 % (25578)Termination phase: Saturation
% 23.20/4.78
% 23.20/4.78 % (25578)Memory used [KB]: 8187
% 23.20/4.78 % (25578)Time elapsed: 0.118 s
% 23.20/4.78 % (25578)Instructions burned: 395 (million)
% 23.20/4.78 % (25578)------------------------------
% 23.20/4.78 % (25578)------------------------------
% 23.20/4.78 % (25580)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_24989 for (2968ds/3373Mi)
% 23.20/4.78 % (25581)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_24989 for (2968ds/474Mi)
% 23.20/4.79 % (25582)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_24989 for (2968ds/157Mi)
% 23.77/4.82 % (25570)Instruction limit reached!
% 23.77/4.82 % (25570)------------------------------
% 23.77/4.82 % (25570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.77/4.82 % (25570)Termination reason: Unknown
% 23.77/4.82 % (25570)Termination phase: Saturation
% 23.77/4.82
% 23.77/4.82 % (25570)Memory used [KB]: 11513
% 23.77/4.82 % (25570)Time elapsed: 0.480 s
% 23.77/4.82 % (25570)Instructions burned: 1513 (million)
% 23.77/4.82 % (25570)------------------------------
% 23.77/4.82 % (25570)------------------------------
% 23.77/4.83 % (25582)Instruction limit reached!
% 23.77/4.83 % (25582)------------------------------
% 23.77/4.83 % (25582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.77/4.83 % (25582)Termination reason: Unknown
% 23.77/4.83 % (25582)Termination phase: Saturation
% 23.77/4.83
% 23.77/4.83 % (25582)Memory used [KB]: 6524
% 23.77/4.83 % (25582)Time elapsed: 0.041 s
% 23.77/4.83 % (25582)Instructions burned: 158 (million)
% 23.77/4.83 % (25582)------------------------------
% 23.77/4.83 % (25582)------------------------------
% 23.77/4.83 % (25583)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_24989 for (2967ds/590Mi)
% 23.77/4.84 % (25584)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_24989 for (2967ds/104Mi)
% 23.77/4.86 % (25584)Instruction limit reached!
% 23.77/4.86 % (25584)------------------------------
% 23.77/4.86 % (25584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.77/4.86 % (25584)Termination reason: Unknown
% 23.77/4.86 % (25584)Termination phase: Saturation
% 23.77/4.86
% 23.77/4.86 % (25584)Memory used [KB]: 6652
% 23.77/4.86 % (25584)Time elapsed: 0.028 s
% 23.77/4.86 % (25584)Instructions burned: 104 (million)
% 23.77/4.86 % (25584)------------------------------
% 23.77/4.86 % (25584)------------------------------
% 23.77/4.87 % (25585)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_24989 for (2967ds/414Mi)
% 24.44/4.90 % (25581)Instruction limit reached!
% 24.44/4.90 % (25581)------------------------------
% 24.44/4.90 % (25581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.44/4.90 % (25581)Termination reason: Unknown
% 24.44/4.90 % (25581)Termination phase: Saturation
% 24.44/4.90
% 24.44/4.90 % (25581)Memory used [KB]: 9210
% 24.44/4.90 % (25581)Time elapsed: 0.119 s
% 24.44/4.90 % (25581)Instructions burned: 476 (million)
% 24.44/4.90 % (25581)------------------------------
% 24.44/4.90 % (25581)------------------------------
% 24.44/4.91 % (25586)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_24989 for (2967ds/715Mi)
% 24.44/4.97 % (25585)Instruction limit reached!
% 24.44/4.97 % (25585)------------------------------
% 24.44/4.97 % (25585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.44/4.97 % (25585)Termination reason: Unknown
% 24.44/4.97 % (25585)Termination phase: Saturation
% 24.44/4.97
% 24.44/4.97 % (25585)Memory used [KB]: 6524
% 24.44/4.97 % (25585)Time elapsed: 0.101 s
% 24.44/4.97 % (25585)Instructions burned: 414 (million)
% 24.44/4.97 % (25585)------------------------------
% 24.44/4.97 % (25585)------------------------------
% 24.44/4.98 % (25587)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_24989 for (2966ds/961Mi)
% 24.44/5.00 % (25583)Instruction limit reached!
% 24.44/5.00 % (25583)------------------------------
% 24.44/5.00 % (25583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.44/5.00 % (25583)Termination reason: Unknown
% 24.44/5.00 % (25583)Termination phase: Saturation
% 24.44/5.00
% 24.44/5.00 % (25583)Memory used [KB]: 7931
% 24.44/5.00 % (25583)Time elapsed: 0.171 s
% 24.44/5.00 % (25583)Instructions burned: 593 (million)
% 24.44/5.00 % (25583)------------------------------
% 24.44/5.00 % (25583)------------------------------
% 24.44/5.01 % (25588)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_24989 for (2966ds/1213Mi)
% 26.57/5.04 % (25579)Instruction limit reached!
% 26.57/5.04 % (25579)------------------------------
% 26.57/5.04 % (25579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.57/5.04 % (25579)Termination reason: Unknown
% 26.57/5.04 % (25579)Termination phase: Saturation
% 26.57/5.04
% 26.57/5.04 % (25579)Memory used [KB]: 7803
% 26.57/5.04 % (25579)Time elapsed: 0.362 s
% 26.57/5.04 % (25579)Instructions burned: 1338 (million)
% 26.57/5.04 % (25579)------------------------------
% 26.57/5.04 % (25579)------------------------------
% 26.57/5.05 % (25589)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_24989 for (2965ds/1979Mi)
% 27.10/5.13 % (25586)Instruction limit reached!
% 27.10/5.13 % (25586)------------------------------
% 27.10/5.13 % (25586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.10/5.13 % (25586)Termination reason: Unknown
% 27.10/5.13 % (25586)Termination phase: Saturation
% 27.10/5.13
% 27.10/5.13 % (25586)Memory used [KB]: 3709
% 27.10/5.13 % (25586)Time elapsed: 0.218 s
% 27.10/5.13 % (25586)Instructions burned: 717 (million)
% 27.10/5.13 % (25586)------------------------------
% 27.10/5.13 % (25586)------------------------------
% 27.10/5.14 % (25590)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_24989 for (2964ds/481Mi)
% 27.40/5.26 % (25590)Instruction limit reached!
% 27.40/5.26 % (25590)------------------------------
% 27.40/5.26 % (25590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.40/5.26 % (25590)Termination reason: Unknown
% 27.40/5.26 % (25590)Termination phase: Saturation
% 27.40/5.26
% 27.40/5.26 % (25590)Memory used [KB]: 8955
% 27.40/5.26 % (25590)Time elapsed: 0.123 s
% 27.40/5.26 % (25590)Instructions burned: 482 (million)
% 27.40/5.26 % (25590)------------------------------
% 27.40/5.26 % (25590)------------------------------
% 27.40/5.27 % (25591)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_24989 for (2963ds/783Mi)
% 27.40/5.28 % (25587)Instruction limit reached!
% 27.40/5.28 % (25587)------------------------------
% 27.40/5.28 % (25587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.40/5.28 % (25587)Termination reason: Unknown
% 27.40/5.28 % (25587)Termination phase: Saturation
% 27.40/5.28
% 27.40/5.28 % (25587)Memory used [KB]: 8187
% 27.40/5.28 % (25587)Time elapsed: 0.303 s
% 27.40/5.28 % (25587)Instructions burned: 962 (million)
% 27.40/5.28 % (25587)------------------------------
% 27.40/5.28 % (25587)------------------------------
% 27.40/5.29 % (25592)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_24989 for (2963ds/432Mi)
% 27.93/5.39 % (25588)Instruction limit reached!
% 27.93/5.39 % (25588)------------------------------
% 27.93/5.39 % (25588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.93/5.39 % (25588)Termination reason: Unknown
% 27.93/5.39 % (25588)Termination phase: Saturation
% 27.93/5.39
% 27.93/5.39 % (25588)Memory used [KB]: 11385
% 27.93/5.39 % (25588)Time elapsed: 0.403 s
% 27.93/5.39 % (25588)Instructions burned: 1214 (million)
% 27.93/5.39 % (25588)------------------------------
% 27.93/5.39 % (25588)------------------------------
% 28.60/5.40 % (25593)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_24989 for (2962ds/1670Mi)
% 28.60/5.42 % (25592)Instruction limit reached!
% 28.60/5.42 % (25592)------------------------------
% 28.60/5.42 % (25592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.60/5.42 % (25592)Termination reason: Unknown
% 28.60/5.42 % (25592)Termination phase: Saturation
% 28.60/5.42
% 28.60/5.42 % (25592)Memory used [KB]: 7803
% 28.60/5.42 % (25592)Time elapsed: 0.132 s
% 28.60/5.42 % (25592)Instructions burned: 433 (million)
% 28.60/5.42 % (25592)------------------------------
% 28.60/5.42 % (25592)------------------------------
% 28.60/5.43 % (25594)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_24989 for (2961ds/90Mi)
% 28.60/5.46 % (25594)Instruction limit reached!
% 28.60/5.46 % (25594)------------------------------
% 28.60/5.46 % (25594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.60/5.46 % (25594)Termination reason: Unknown
% 28.60/5.46 % (25594)Termination phase: Saturation
% 28.60/5.46
% 28.60/5.46 % (25594)Memory used [KB]: 6524
% 28.60/5.46 % (25594)Time elapsed: 0.025 s
% 28.60/5.46 % (25594)Instructions burned: 92 (million)
% 28.60/5.46 % (25594)------------------------------
% 28.60/5.46 % (25594)------------------------------
% 28.60/5.47 % (25595)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_24989 for (2961ds/346Mi)
% 29.08/5.52 % (25591)Instruction limit reached!
% 29.08/5.52 % (25591)------------------------------
% 29.08/5.52 % (25591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.08/5.52 % (25591)Termination reason: Unknown
% 29.08/5.52 % (25591)Termination phase: Saturation
% 29.08/5.52
% 29.08/5.52 % (25591)Memory used [KB]: 9466
% 29.08/5.52 % (25591)Time elapsed: 0.248 s
% 29.08/5.52 % (25591)Instructions burned: 786 (million)
% 29.08/5.52 % (25591)------------------------------
% 29.08/5.52 % (25591)------------------------------
% 29.08/5.53 % (25596)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_24989 for (2960ds/401Mi)
% 29.08/5.55 % (25595)Instruction limit reached!
% 29.08/5.55 % (25595)------------------------------
% 29.08/5.55 % (25595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.08/5.55 % (25595)Termination reason: Unknown
% 29.08/5.55 % (25595)Termination phase: Saturation
% 29.08/5.55
% 29.08/5.55 % (25595)Memory used [KB]: 8955
% 29.08/5.55 % (25595)Time elapsed: 0.086 s
% 29.08/5.55 % (25595)Instructions burned: 347 (million)
% 29.08/5.55 % (25595)------------------------------
% 29.08/5.55 % (25595)------------------------------
% 29.08/5.56 % (25597)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_24989 for (2960ds/6454Mi)
% 29.73/5.62 % (25596)Instruction limit reached!
% 29.73/5.62 % (25596)------------------------------
% 29.73/5.62 % (25596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.73/5.62 % (25596)Termination reason: Unknown
% 29.73/5.62 % (25596)Termination phase: Saturation
% 29.73/5.62
% 29.73/5.62 % (25596)Memory used [KB]: 6524
% 29.73/5.62 % (25596)Time elapsed: 0.096 s
% 29.73/5.62 % (25596)Instructions burned: 401 (million)
% 29.73/5.62 % (25596)------------------------------
% 29.73/5.62 % (25596)------------------------------
% 29.73/5.63 % (25598)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_24989 for (2959ds/283Mi)
% 29.73/5.66 % (25589)Instruction limit reached!
% 29.73/5.66 % (25589)------------------------------
% 29.73/5.66 % (25589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.73/5.66 % (25589)Termination reason: Unknown
% 29.73/5.66 % (25589)Termination phase: Saturation
% 29.73/5.66
% 29.73/5.66 % (25589)Memory used [KB]: 8827
% 29.73/5.66 % (25589)Time elapsed: 0.629 s
% 29.73/5.66 % (25589)Instructions burned: 1979 (million)
% 29.73/5.66 % (25589)------------------------------
% 29.73/5.66 % (25589)------------------------------
% 29.73/5.67 % (25599)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_24989 for (2959ds/865Mi)
% 30.75/5.71 % (25598)Instruction limit reached!
% 30.75/5.71 % (25598)------------------------------
% 30.75/5.71 % (25598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.75/5.71 % (25598)Termination reason: Unknown
% 30.75/5.71 % (25598)Termination phase: Saturation
% 30.75/5.71
% 30.75/5.71 % (25598)Memory used [KB]: 7547
% 30.75/5.71 % (25598)Time elapsed: 0.085 s
% 30.75/5.71 % (25598)Instructions burned: 285 (million)
% 30.75/5.71 % (25598)------------------------------
% 30.75/5.71 % (25598)------------------------------
% 30.75/5.72 % (25601)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_24989 for (2958ds/4528Mi)
% 30.75/5.78 % (25601)Refutation not found, incomplete strategy
% 30.75/5.78 % (25601)------------------------------
% 30.75/5.78 % (25601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.75/5.78 % (25601)Termination reason: Refutation not found, incomplete strategy
% 30.75/5.78
% 30.75/5.78
% 30.75/5.78 % (25601)Memory used [KB]: 2046
% 30.75/5.78 % (25601)Time elapsed: 0.061 s
% 30.75/5.78 % (25601)Instructions burned: 230 (million)
% 30.75/5.78 % (25601)------------------------------
% 30.75/5.78 % (25601)------------------------------
% 30.75/5.79 % (25602)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_24989 for (2958ds/1001Mi)
% 31.23/5.81 % (25593)Instruction limit reached!
% 31.23/5.81 % (25593)------------------------------
% 31.23/5.81 % (25593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.81 % (25593)Termination reason: Unknown
% 31.23/5.81 % (25593)Termination phase: Saturation
% 31.23/5.81
% 31.23/5.81 % (25593)Memory used [KB]: 9850
% 31.23/5.81 % (25593)Time elapsed: 0.411 s
% 31.23/5.81 % (25593)Instructions burned: 1672 (million)
% 31.23/5.81 % (25593)------------------------------
% 31.23/5.81 % (25593)------------------------------
% 31.23/5.82 % (25580)Instruction limit reached!
% 31.23/5.82 % (25580)------------------------------
% 31.23/5.82 % (25580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.82 % (25580)Termination reason: Unknown
% 31.23/5.82 % (25580)Termination phase: Saturation
% 31.23/5.82
% 31.23/5.82 % (25580)Memory used [KB]: 11769
% 31.23/5.82 % (25580)Time elapsed: 1.037 s
% 31.23/5.82 % (25580)Instructions burned: 3374 (million)
% 31.23/5.82 % (25580)------------------------------
% 31.23/5.82 % (25580)------------------------------
% 31.23/5.82 % (25603)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_24989 for (2957ds/102Mi)
% 31.23/5.83 % (25604)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_24989 for (2957ds/952Mi)
% 31.23/5.85 % (25603)Instruction limit reached!
% 31.23/5.85 % (25603)------------------------------
% 31.23/5.85 % (25603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.85 % (25603)Termination reason: Unknown
% 31.23/5.85 % (25603)Termination phase: Saturation
% 31.23/5.85
% 31.23/5.85 % (25603)Memory used [KB]: 6652
% 31.23/5.85 % (25603)Time elapsed: 0.029 s
% 31.23/5.85 % (25603)Instructions burned: 104 (million)
% 31.23/5.85 % (25603)------------------------------
% 31.23/5.85 % (25603)------------------------------
% 31.23/5.86 % (25564)Refutation not found, non-redundant clauses discarded% (25564)------------------------------
% 31.23/5.86 % (25564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.86 % (25564)Termination reason: Refutation not found, non-redundant clauses discarded
% 31.23/5.86
% 31.23/5.86 % (25564)Memory used [KB]: 13944
% 31.23/5.86 % (25564)Time elapsed: 1.661 s
% 31.23/5.86 % (25564)Instructions burned: 5385 (million)
% 31.23/5.86 % (25564)------------------------------
% 31.23/5.86 % (25564)------------------------------
% 31.23/5.86 % (25605)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_24989 for (2957ds/578Mi)
% 31.23/5.87 % (25606)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_24989 for (2957ds/643Mi)
% 31.90/5.91 % (25599)Instruction limit reached!
% 31.90/5.91 % (25599)------------------------------
% 31.90/5.91 % (25599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.90/5.91 % (25599)Termination reason: Unknown
% 31.90/5.91 % (25599)Termination phase: Saturation
% 31.90/5.91
% 31.90/5.91 % (25599)Memory used [KB]: 7803
% 31.90/5.91 % (25599)Time elapsed: 0.245 s
% 31.90/5.91 % (25599)Instructions burned: 866 (million)
% 31.90/5.91 % (25599)------------------------------
% 31.90/5.91 % (25599)------------------------------
% 31.90/5.92 % (25607)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_24989 for (2956ds/865Mi)
% 31.90/5.99 % (25605)Instruction limit reached!
% 31.90/5.99 % (25605)------------------------------
% 31.90/5.99 % (25605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.90/5.99 % (25605)Termination reason: Unknown
% 31.90/5.99 % (25605)Termination phase: Saturation
% 31.90/5.99
% 31.90/5.99 % (25605)Memory used [KB]: 7675
% 31.90/5.99 % (25605)Time elapsed: 0.137 s
% 31.90/5.99 % (25605)Instructions burned: 580 (million)
% 31.90/5.99 % (25605)------------------------------
% 31.90/5.99 % (25605)------------------------------
% 31.90/6.00 % (25608)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_24989 for (2956ds/1174Mi)
% 31.90/6.01 % (25552)Instruction limit reached!
% 31.90/6.01 % (25552)------------------------------
% 31.90/6.01 % (25552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.90/6.01 % (25552)Termination reason: Unknown
% 31.90/6.01 % (25552)Termination phase: Saturation
% 31.90/6.01
% 31.90/6.01 % (25552)Memory used [KB]: 22515
% 31.90/6.01 % (25552)Time elapsed: 2.630 s
% 31.90/6.01 % (25552)Instructions burned: 8250 (million)
% 31.90/6.01 % (25552)------------------------------
% 31.90/6.01 % (25552)------------------------------
% 31.90/6.02 % (25609)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_24989 for (2955ds/644Mi)
% 31.90/6.02 % (25606)Instruction limit reached!
% 31.90/6.02 % (25606)------------------------------
% 31.90/6.02 % (25606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.90/6.02 % (25606)Termination reason: Unknown
% 31.90/6.02 % (25606)Termination phase: Saturation
% 31.90/6.02
% 31.90/6.02 % (25606)Memory used [KB]: 9083
% 31.90/6.02 % (25606)Time elapsed: 0.157 s
% 31.90/6.02 % (25606)Instructions burned: 646 (million)
% 31.90/6.02 % (25606)------------------------------
% 31.90/6.02 % (25606)------------------------------
% 31.90/6.02 % (25602)Instruction limit reached!
% 31.90/6.02 % (25602)------------------------------
% 31.90/6.02 % (25602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.90/6.02 % (25602)Termination reason: Unknown
% 31.90/6.02 % (25602)Termination phase: Saturation
% 31.90/6.02
% 31.90/6.02 % (25602)Memory used [KB]: 7547
% 31.90/6.02 % (25602)Time elapsed: 0.230 s
% 31.90/6.02 % (25602)Instructions burned: 1003 (million)
% 31.90/6.02 % (25602)------------------------------
% 31.90/6.02 % (25602)------------------------------
% 33.44/6.03 % (25610)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_24989 for (2955ds/1201Mi)
% 33.44/6.03 % (25611)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_24989 for (2955ds/1046Mi)
% 33.44/6.12 % (25604)Instruction limit reached!
% 33.44/6.12 % (25604)------------------------------
% 33.44/6.12 % (25604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.44/6.12 % (25604)Termination reason: Unknown
% 33.44/6.12 % (25604)Termination phase: Saturation
% 33.44/6.12
% 33.44/6.12 % (25604)Memory used [KB]: 8699
% 33.44/6.12 % (25604)Time elapsed: 0.293 s
% 33.44/6.12 % (25604)Instructions burned: 955 (million)
% 33.44/6.12 % (25604)------------------------------
% 33.44/6.12 % (25604)------------------------------
% 34.03/6.13 % (25612)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_24989 for (2954ds/222Mi)
% 34.03/6.15 % (25607)Instruction limit reached!
% 34.03/6.15 % (25607)------------------------------
% 34.03/6.15 % (25607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.03/6.15 % (25607)Termination reason: Unknown
% 34.03/6.15 % (25607)Termination phase: Saturation
% 34.03/6.15
% 34.03/6.15 % (25607)Memory used [KB]: 6780
% 34.03/6.15 % (25607)Time elapsed: 0.237 s
% 34.03/6.15 % (25607)Instructions burned: 865 (million)
% 34.03/6.15 % (25607)------------------------------
% 34.03/6.15 % (25607)------------------------------
% 34.03/6.16 % (25613)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_24989 for (2954ds/68Mi)
% 34.03/6.18 % (25613)Instruction limit reached!
% 34.03/6.18 % (25613)------------------------------
% 34.03/6.18 % (25613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.03/6.18 % (25613)Termination reason: Unknown
% 34.03/6.18 % (25613)Termination phase: Property scanning
% 34.03/6.18
% 34.03/6.18 % (25613)Memory used [KB]: 1918
% 34.03/6.18 % (25613)Time elapsed: 0.020 s
% 34.03/6.18 % (25613)Instructions burned: 70 (million)
% 34.03/6.18 % (25613)------------------------------
% 34.03/6.18 % (25613)------------------------------
% 34.03/6.19 % (25612)Instruction limit reached!
% 34.03/6.19 % (25612)------------------------------
% 34.03/6.19 % (25612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.03/6.19 % (25612)Termination reason: Unknown
% 34.03/6.19 % (25612)Termination phase: Saturation
% 34.03/6.19
% 34.03/6.19 % (25612)Memory used [KB]: 6524
% 34.03/6.19 % (25612)Time elapsed: 0.058 s
% 34.03/6.19 % (25612)Instructions burned: 225 (million)
% 34.03/6.19 % (25612)------------------------------
% 34.03/6.19 % (25612)------------------------------
% 34.03/6.19 % (25614)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_24989 for (2954ds/454Mi)
% 34.03/6.19 % (25615)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_24989 for (2954ds/360Mi)
% 34.29/6.21 % (25609)Instruction limit reached!
% 34.29/6.21 % (25609)------------------------------
% 34.29/6.21 % (25609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.29/6.21 % (25609)Termination reason: Unknown
% 34.29/6.21 % (25609)Termination phase: Saturation
% 34.29/6.21
% 34.29/6.21 % (25609)Memory used [KB]: 7036
% 34.29/6.21 % (25609)Time elapsed: 0.196 s
% 34.29/6.21 % (25609)Instructions burned: 645 (million)
% 34.29/6.21 % (25609)------------------------------
% 34.29/6.21 % (25609)------------------------------
% 34.29/6.22 % (25616)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_24989 for (2953ds/157Mi)
% 34.29/6.26 % (25616)Instruction limit reached!
% 34.29/6.26 % (25616)------------------------------
% 34.29/6.26 % (25616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.29/6.26 % (25616)Termination reason: Unknown
% 34.29/6.26 % (25616)Termination phase: Saturation
% 34.29/6.26
% 34.29/6.26 % (25616)Memory used [KB]: 6524
% 34.29/6.26 % (25616)Time elapsed: 0.041 s
% 34.29/6.26 % (25616)Instructions burned: 160 (million)
% 34.29/6.26 % (25616)------------------------------
% 34.29/6.26 % (25616)------------------------------
% 34.29/6.27 % (25617)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_24989 for (2953ds/5061Mi)
% 34.29/6.28 % (25611)Instruction limit reached!
% 34.29/6.28 % (25611)------------------------------
% 34.29/6.28 % (25611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.29/6.28 % (25611)Termination reason: Unknown
% 34.29/6.28 % (25611)Termination phase: Saturation
% 34.29/6.28
% 34.29/6.28 % (25611)Memory used [KB]: 6652
% 34.29/6.28 % (25611)Time elapsed: 0.246 s
% 34.29/6.28 % (25611)Instructions burned: 1046 (million)
% 34.29/6.28 % (25611)------------------------------
% 34.29/6.28 % (25611)------------------------------
% 34.29/6.28 % (25615)Instruction limit reached!
% 34.29/6.28 % (25615)------------------------------
% 34.29/6.28 % (25615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.29/6.28 % (25615)Termination reason: Unknown
% 34.29/6.28 % (25615)Termination phase: Saturation
% 34.29/6.28
% 34.29/6.28 % (25615)Memory used [KB]: 6524
% 34.29/6.28 % (25615)Time elapsed: 0.086 s
% 34.29/6.28 % (25615)Instructions burned: 363 (million)
% 34.29/6.28 % (25615)------------------------------
% 34.29/6.28 % (25615)------------------------------
% 34.29/6.29 % (25618)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_24989 for (2953ds/2401Mi)
% 34.29/6.29 % (25619)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_24989 for (2953ds/5798Mi)
% 35.09/6.30 % (25614)Instruction limit reached!
% 35.09/6.30 % (25614)------------------------------
% 35.09/6.30 % (25614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.09/6.30 % (25614)Termination reason: Unknown
% 35.09/6.30 % (25614)Termination phase: Saturation
% 35.09/6.30
% 35.09/6.30 % (25614)Memory used [KB]: 13688
% 35.09/6.30 % (25614)Time elapsed: 0.112 s
% 35.09/6.30 % (25614)Instructions burned: 454 (million)
% 35.09/6.30 % (25614)------------------------------
% 35.09/6.30 % (25614)------------------------------
% 35.09/6.31 % (25620)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_24989 for (2953ds/346Mi)
% 35.09/6.37 % (25608)Instruction limit reached!
% 35.09/6.37 % (25608)------------------------------
% 35.09/6.37 % (25608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.09/6.37 % (25608)Termination reason: Unknown
% 35.09/6.37 % (25608)Termination phase: Saturation
% 35.09/6.37
% 35.09/6.37 % (25608)Memory used [KB]: 8443
% 35.09/6.37 % (25608)Time elapsed: 0.364 s
% 35.09/6.37 % (25608)Instructions burned: 1174 (million)
% 35.09/6.37 % (25608)------------------------------
% 35.09/6.37 % (25608)------------------------------
% 35.09/6.37 % (25610)Instruction limit reached!
% 35.09/6.37 % (25610)------------------------------
% 35.09/6.37 % (25610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.09/6.37 % (25610)Termination reason: Unknown
% 35.09/6.37 % (25610)Termination phase: Saturation
% 35.09/6.37
% 35.09/6.37 % (25610)Memory used [KB]: 9210
% 35.09/6.37 % (25610)Time elapsed: 0.340 s
% 35.09/6.37 % (25610)Instructions burned: 1203 (million)
% 35.09/6.37 % (25610)------------------------------
% 35.09/6.37 % (25610)------------------------------
% 35.09/6.38 % (25621)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_24989 for (2952ds/1321Mi)
% 35.09/6.38 % (25622)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_24989 for (2952ds/1312Mi)
% 35.74/6.40 % (25620)Instruction limit reached!
% 35.74/6.40 % (25620)------------------------------
% 35.74/6.40 % (25620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.74/6.40 % (25620)Termination reason: Unknown
% 35.74/6.40 % (25620)Termination phase: Saturation
% 35.74/6.40
% 35.74/6.40 % (25620)Memory used [KB]: 8955
% 35.74/6.40 % (25620)Time elapsed: 0.088 s
% 35.74/6.40 % (25620)Instructions burned: 346 (million)
% 35.74/6.40 % (25620)------------------------------
% 35.74/6.40 % (25620)------------------------------
% 35.74/6.41 % (25623)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_24989 for (2952ds/672Mi)
% 36.06/6.61 % (25623)Instruction limit reached!
% 36.06/6.61 % (25623)------------------------------
% 36.06/6.61 % (25623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.06/6.61 % (25623)Termination reason: Unknown
% 36.06/6.61 % (25623)Termination phase: Saturation
% 36.06/6.61
% 36.06/6.61 % (25623)Memory used [KB]: 9210
% 36.06/6.61 % (25623)Time elapsed: 0.205 s
% 36.06/6.61 % (25623)Instructions burned: 673 (million)
% 36.06/6.61 % (25623)------------------------------
% 36.06/6.61 % (25623)------------------------------
% 36.06/6.62 % (25624)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_24989 for (2949ds/1897Mi)
% 36.37/6.72 % (25622)Instruction limit reached!
% 36.37/6.72 % (25622)------------------------------
% 36.37/6.72 % (25622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.37/6.72 % (25622)Termination reason: Unknown
% 36.37/6.72 % (25622)Termination phase: Saturation
% 36.37/6.72
% 36.37/6.72 % (25622)Memory used [KB]: 9850
% 36.37/6.72 % (25622)Time elapsed: 0.340 s
% 36.37/6.72 % (25622)Instructions burned: 1313 (million)
% 36.37/6.72 % (25622)------------------------------
% 36.37/6.72 % (25622)------------------------------
% 36.37/6.73 % (25625)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_24989 for (2948ds/1202Mi)
% 36.37/6.78 % (25621)Instruction limit reached!
% 36.37/6.78 % (25621)------------------------------
% 36.37/6.78 % (25621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.37/6.78 % (25621)Termination reason: Unknown
% 36.37/6.78 % (25621)Termination phase: Saturation
% 36.37/6.78
% 36.37/6.78 % (25621)Memory used [KB]: 5245
% 36.37/6.78 % (25621)Time elapsed: 0.399 s
% 36.37/6.78 % (25621)Instructions burned: 1322 (million)
% 36.37/6.78 % (25621)------------------------------
% 36.37/6.78 % (25621)------------------------------
% 36.37/6.79 % (25626)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_24989 for (2948ds/1493Mi)
% 37.33/7.01 % (25618)Instruction limit reached!
% 37.33/7.01 % (25618)------------------------------
% 37.33/7.01 % (25618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.33/7.01 % (25618)Termination reason: Unknown
% 37.33/7.01 % (25618)Termination phase: Saturation
% 37.33/7.01
% 37.33/7.01 % (25618)Memory used [KB]: 8059
% 37.33/7.01 % (25618)Time elapsed: 0.724 s
% 37.33/7.01 % (25618)Instructions burned: 2402 (million)
% 37.33/7.01 % (25618)------------------------------
% 37.33/7.01 % (25618)------------------------------
% 37.33/7.02 % (25628)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_24989 for (2945ds/7679Mi)
% 40.61/7.07 % (25625)Instruction limit reached!
% 40.61/7.07 % (25625)------------------------------
% 40.61/7.07 % (25625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.61/7.07 % (25625)Termination reason: Unknown
% 40.61/7.07 % (25625)Termination phase: Saturation
% 40.61/7.07
% 40.61/7.07 % (25625)Memory used [KB]: 6652
% 40.61/7.07 % (25625)Time elapsed: 0.343 s
% 40.61/7.07 % (25625)Instructions burned: 1204 (million)
% 40.61/7.07 % (25625)------------------------------
% 40.61/7.07 % (25625)------------------------------
% 40.61/7.08 % (25629)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_24989 for (2945ds/340Mi)
% 40.61/7.11 % (25626)Instruction limit reached!
% 40.61/7.11 % (25626)------------------------------
% 40.61/7.11 % (25626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.61/7.11 % (25626)Termination reason: Unknown
% 40.61/7.11 % (25626)Termination phase: Saturation
% 40.61/7.11
% 40.61/7.11 % (25626)Memory used [KB]: 6652
% 40.61/7.11 % (25626)Time elapsed: 0.331 s
% 40.61/7.11 % (25626)Instructions burned: 1493 (million)
% 40.61/7.11 % (25626)------------------------------
% 40.61/7.11 % (25626)------------------------------
% 41.17/7.12 % (25630)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_24989 for (2944ds/3672Mi)
% 41.17/7.19 % (25629)Instruction limit reached!
% 41.17/7.19 % (25629)------------------------------
% 41.17/7.19 % (25629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.17/7.19 % (25629)Termination reason: Unknown
% 41.17/7.19 % (25629)Termination phase: Saturation
% 41.17/7.19
% 41.17/7.19 % (25629)Memory used [KB]: 8827
% 41.17/7.19 % (25629)Time elapsed: 0.109 s
% 41.17/7.19 % (25629)Instructions burned: 342 (million)
% 41.17/7.19 % (25629)------------------------------
% 41.17/7.19 % (25629)------------------------------
% 41.57/7.20 % (25631)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_24989 for (2944ds/1535Mi)
% 41.57/7.22 % (25624)Instruction limit reached!
% 41.57/7.22 % (25624)------------------------------
% 41.57/7.22 % (25624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.57/7.22 % (25624)Termination reason: Unknown
% 41.57/7.22 % (25624)Termination phase: Saturation
% 41.57/7.22
% 41.57/7.22 % (25624)Memory used [KB]: 11641
% 41.57/7.22 % (25624)Time elapsed: 0.595 s
% 41.57/7.22 % (25624)Instructions burned: 1900 (million)
% 41.57/7.22 % (25624)------------------------------
% 41.57/7.22 % (25624)------------------------------
% 41.57/7.23 % (25632)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_24989 for (2943ds/4637Mi)
% 42.23/7.50 % (25617)Instruction limit reached!
% 42.23/7.50 % (25617)------------------------------
% 42.23/7.50 % (25617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.23/7.50 % (25617)Termination reason: Unknown
% 42.23/7.50 % (25617)Termination phase: Saturation
% 42.23/7.50
% 42.23/7.50 % (25617)Memory used [KB]: 8443
% 42.23/7.50 % (25617)Time elapsed: 1.224 s
% 42.23/7.50 % (25617)Instructions burned: 5063 (million)
% 42.23/7.50 % (25617)------------------------------
% 42.23/7.50 % (25617)------------------------------
% 42.53/7.51 % (25633)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_24989 for (2941ds/3174Mi)
% 42.53/7.55 % (25597)Refutation not found, non-redundant clauses discarded% (25597)------------------------------
% 42.53/7.55 % (25597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.53/7.55 % (25597)Termination reason: Refutation not found, non-redundant clauses discarded
% 42.53/7.55
% 42.53/7.55 % (25597)Memory used [KB]: 12409
% 42.53/7.55 % (25597)Time elapsed: 1.985 s
% 42.53/7.55 % (25597)Instructions burned: 6433 (million)
% 42.53/7.55 % (25597)------------------------------
% 42.53/7.55 % (25597)------------------------------
% 42.53/7.56 % (25634)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_24989 for (2940ds/307Mi)
% 42.53/7.58 % (25631)Instruction limit reached!
% 42.53/7.58 % (25631)------------------------------
% 42.53/7.58 % (25631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.53/7.58 % (25631)Termination reason: Unknown
% 42.53/7.58 % (25631)Termination phase: Saturation
% 42.53/7.58
% 42.53/7.58 % (25631)Memory used [KB]: 12281
% 42.53/7.58 % (25631)Time elapsed: 0.377 s
% 42.53/7.58 % (25631)Instructions burned: 1536 (million)
% 42.53/7.58 % (25631)------------------------------
% 42.53/7.58 % (25631)------------------------------
% 42.53/7.59 % (25635)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_24989 for (2940ds/3619Mi)
% 43.08/7.63 % (25634)Instruction limit reached!
% 43.08/7.63 % (25634)------------------------------
% 43.08/7.63 % (25634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.08/7.63 % (25634)Termination reason: Unknown
% 43.08/7.63 % (25634)Termination phase: Saturation
% 43.08/7.63
% 43.08/7.63 % (25634)Memory used [KB]: 6524
% 43.08/7.63 % (25634)Time elapsed: 0.076 s
% 43.08/7.63 % (25634)Instructions burned: 308 (million)
% 43.08/7.63 % (25634)------------------------------
% 43.08/7.63 % (25634)------------------------------
% 43.08/7.64 % (25636)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_24989 for (2939ds/2325Mi)
% 47.62/8.07 % (25619)Instruction limit reached!
% 47.62/8.07 % (25619)------------------------------
% 47.62/8.07 % (25619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.62/8.07 % (25619)Termination reason: Unknown
% 47.62/8.07 % (25619)Termination phase: Saturation
% 47.62/8.07
% 47.62/8.07 % (25619)Memory used [KB]: 12537
% 47.62/8.07 % (25619)Time elapsed: 1.785 s
% 47.62/8.07 % (25619)Instructions burned: 5798 (million)
% 47.62/8.07 % (25619)------------------------------
% 47.62/8.07 % (25619)------------------------------
% 47.62/8.08 % (25637)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_24989 for (2935ds/2341Mi)
% 48.74/8.28 % (25630)Instruction limit reached!
% 48.74/8.28 % (25630)------------------------------
% 48.74/8.28 % (25630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.74/8.28 % (25630)Termination reason: Unknown
% 48.74/8.28 % (25630)Termination phase: Saturation
% 48.74/8.28
% 48.74/8.28 % (25630)Memory used [KB]: 11001
% 48.74/8.28 % (25630)Time elapsed: 1.152 s
% 48.74/8.28 % (25630)Instructions burned: 3672 (million)
% 48.74/8.28 % (25630)------------------------------
% 48.74/8.28 % (25630)------------------------------
% 48.74/8.29 % (25639)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_24989 for (2933ds/7257Mi)
% 49.33/8.35 % (25636)Instruction limit reached!
% 49.33/8.35 % (25636)------------------------------
% 49.33/8.35 % (25636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.33/8.35 % (25636)Termination reason: Unknown
% 49.33/8.35 % (25636)Termination phase: Saturation
% 49.33/8.35
% 49.33/8.35 % (25636)Memory used [KB]: 12537
% 49.33/8.35 % (25636)Time elapsed: 0.708 s
% 49.33/8.35 % (25636)Instructions burned: 2325 (million)
% 49.33/8.35 % (25636)------------------------------
% 49.33/8.35 % (25636)------------------------------
% 49.33/8.36 % (25640)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_24989 for (2932ds/3710Mi)
% 49.80/8.45 % (25633)Instruction limit reached!
% 49.80/8.45 % (25633)------------------------------
% 49.80/8.45 % (25633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.80/8.45 % (25633)Termination reason: Unknown
% 49.80/8.45 % (25633)Termination phase: Saturation
% 49.80/8.45
% 49.80/8.45 % (25633)Memory used [KB]: 15863
% 49.80/8.45 % (25633)Time elapsed: 0.943 s
% 49.80/8.45 % (25633)Instructions burned: 3175 (million)
% 49.80/8.45 % (25633)------------------------------
% 49.80/8.45 % (25633)------------------------------
% 49.80/8.46 % (25641)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_24989 for (2931ds/326Mi)
% 50.16/8.56 % (25641)Instruction limit reached!
% 50.16/8.56 % (25641)------------------------------
% 50.16/8.56 % (25641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.16/8.56 % (25641)Termination reason: Unknown
% 50.16/8.56 % (25641)Termination phase: Saturation
% 50.16/8.56
% 50.16/8.56 % (25641)Memory used [KB]: 7419
% 50.16/8.56 % (25641)Time elapsed: 0.124 s
% 50.16/8.56 % (25641)Instructions burned: 328 (million)
% 50.16/8.56 % (25641)------------------------------
% 50.16/8.56 % (25641)------------------------------
% 50.16/8.57 % (25642)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_24989 for (2930ds/1100Mi)
% 50.57/8.68 % (25632)Instruction limit reached!
% 50.57/8.68 % (25632)------------------------------
% 50.57/8.68 % (25632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.57/8.68 % (25632)Termination reason: Unknown
% 50.57/8.68 % (25632)Termination phase: Saturation
% 50.57/8.68
% 50.57/8.68 % (25632)Memory used [KB]: 10234
% 50.57/8.68 % (25632)Time elapsed: 1.448 s
% 50.57/8.68 % (25632)Instructions burned: 4637 (million)
% 50.57/8.68 % (25632)------------------------------
% 50.57/8.68 % (25632)------------------------------
% 50.57/8.69 % (25643)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_24989 for (2929ds/406Mi)
% 50.57/8.69 % (25635)Instruction limit reached!
% 50.57/8.69 % (25635)------------------------------
% 50.57/8.69 % (25635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.57/8.69 % (25635)Termination reason: Unknown
% 50.57/8.69 % (25635)Termination phase: Saturation
% 50.57/8.69
% 50.57/8.69 % (25635)Memory used [KB]: 16758
% 50.57/8.69 % (25635)Time elapsed: 1.107 s
% 50.57/8.69 % (25635)Instructions burned: 3619 (million)
% 50.57/8.69 % (25635)------------------------------
% 50.57/8.69 % (25635)------------------------------
% 50.87/8.70 % (25644)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_24989 for (2929ds/1871Mi)
% 50.97/8.80 % (25643)Instruction limit reached!
% 50.97/8.80 % (25643)------------------------------
% 50.97/8.80 % (25643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.97/8.80 % (25643)Termination reason: Unknown
% 50.97/8.80 % (25643)Termination phase: Saturation
% 50.97/8.80
% 50.97/8.80 % (25643)Memory used [KB]: 7036
% 50.97/8.80 % (25643)Time elapsed: 0.136 s
% 50.97/8.80 % (25643)Instructions burned: 409 (million)
% 50.97/8.80 % (25643)------------------------------
% 50.97/8.80 % (25643)------------------------------
% 50.97/8.81 % (25645)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_24989 for (2928ds/1194Mi)
% 50.97/8.81 % (25637)Instruction limit reached!
% 50.97/8.81 % (25637)------------------------------
% 50.97/8.81 % (25637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.97/8.81 % (25637)Termination reason: Unknown
% 50.97/8.81 % (25637)Termination phase: Saturation
% 50.97/8.81
% 50.97/8.81 % (25637)Memory used [KB]: 9466
% 50.97/8.81 % (25637)Time elapsed: 0.730 s
% 50.97/8.81 % (25637)Instructions burned: 2342 (million)
% 50.97/8.81 % (25637)------------------------------
% 50.97/8.81 % (25637)------------------------------
% 50.97/8.82 % (25646)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_24989 for (2927ds/474Mi)
% 51.93/8.92 % (25642)Instruction limit reached!
% 51.93/8.92 % (25642)------------------------------
% 51.93/8.92 % (25642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.93/8.92 % (25642)Termination reason: Unknown
% 51.93/8.92 % (25642)Termination phase: Saturation
% 51.93/8.92
% 51.93/8.92 % (25642)Memory used [KB]: 11129
% 51.93/8.92 % (25642)Time elapsed: 0.368 s
% 51.93/8.92 % (25642)Instructions burned: 1101 (million)
% 51.93/8.92 % (25642)------------------------------
% 51.93/8.92 % (25642)------------------------------
% 51.93/8.93 % (25647)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_24989 for (2926ds/3115Mi)
% 51.93/8.94 % (25646)Instruction limit reached!
% 51.93/8.94 % (25646)------------------------------
% 51.93/8.94 % (25646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.93/8.94 % (25646)Termination reason: Unknown
% 51.93/8.94 % (25646)Termination phase: Saturation
% 51.93/8.94
% 51.93/8.94 % (25646)Memory used [KB]: 9210
% 51.93/8.94 % (25646)Time elapsed: 0.115 s
% 51.93/8.94 % (25646)Instructions burned: 474 (million)
% 51.93/8.94 % (25646)------------------------------
% 51.93/8.94 % (25646)------------------------------
% 51.93/8.95 % (25648)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_24989 for (2926ds/831Mi)
% 55.38/9.19 % (25645)Instruction limit reached!
% 55.38/9.19 % (25645)------------------------------
% 55.38/9.19 % (25645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.38/9.19 % (25645)Termination reason: Unknown
% 55.38/9.19 % (25645)Termination phase: Saturation
% 55.38/9.19
% 55.38/9.19 % (25645)Memory used [KB]: 10106
% 55.38/9.19 % (25645)Time elapsed: 0.381 s
% 55.38/9.19 % (25645)Instructions burned: 1197 (million)
% 55.38/9.19 % (25645)------------------------------
% 55.38/9.19 % (25645)------------------------------
% 55.87/9.20 % (25649)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_24989 for (2924ds/1188Mi)
% 55.87/9.21 % (25648)Instruction limit reached!
% 55.87/9.21 % (25648)------------------------------
% 55.87/9.21 % (25648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.87/9.21 % (25648)Termination reason: Unknown
% 55.87/9.21 % (25648)Termination phase: Saturation
% 55.87/9.21
% 55.87/9.21 % (25648)Memory used [KB]: 8315
% 55.87/9.21 % (25648)Time elapsed: 0.267 s
% 55.87/9.21 % (25648)Instructions burned: 832 (million)
% 55.87/9.21 % (25648)------------------------------
% 55.87/9.21 % (25648)------------------------------
% 55.87/9.22 % (25650)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_24989 for (2923ds/2868Mi)
% 55.87/9.29 % (25640)Instruction limit reached!
% 55.87/9.29 % (25640)------------------------------
% 55.87/9.29 % (25640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.87/9.29 % (25640)Termination reason: Unknown
% 55.87/9.29 % (25640)Termination phase: Saturation
% 55.87/9.29
% 55.87/9.29 % (25640)Memory used [KB]: 10362
% 55.87/9.29 % (25640)Time elapsed: 0.930 s
% 55.87/9.29 % (25640)Instructions burned: 3710 (million)
% 55.87/9.29 % (25640)------------------------------
% 55.87/9.29 % (25640)------------------------------
% 55.87/9.29 % (25644)Instruction limit reached!
% 55.87/9.29 % (25644)------------------------------
% 55.87/9.29 % (25644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.87/9.29 % (25644)Termination reason: Unknown
% 55.87/9.29 % (25644)Termination phase: Saturation
% 55.87/9.29
% 55.87/9.29 % (25644)Memory used [KB]: 14839
% 55.87/9.29 % (25644)Time elapsed: 0.612 s
% 55.87/9.29 % (25644)Instructions burned: 1871 (million)
% 55.87/9.29 % (25644)------------------------------
% 55.87/9.29 % (25644)------------------------------
% 56.41/9.30 % (25651)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_24989 for (2923ds/1516Mi)
% 56.41/9.30 % (25652)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_24989 for (2923ds/2321Mi)
% 56.41/9.35 % (25628)Instruction limit reached!
% 56.41/9.35 % (25628)------------------------------
% 56.41/9.35 % (25628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.41/9.35 % (25628)Termination reason: Unknown
% 56.41/9.35 % (25628)Termination phase: Saturation
% 56.41/9.35
% 56.41/9.35 % (25628)Memory used [KB]: 15479
% 56.41/9.35 % (25628)Time elapsed: 2.328 s
% 56.41/9.35 % (25628)Instructions burned: 7681 (million)
% 56.41/9.35 % (25628)------------------------------
% 56.41/9.35 % (25628)------------------------------
% 56.41/9.36 % (25653)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_24989 for (2922ds/2812Mi)
% 56.88/9.50 % (25649)Instruction limit reached!
% 56.88/9.50 % (25649)------------------------------
% 56.88/9.50 % (25649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.88/9.50 % (25649)Termination reason: Unknown
% 56.88/9.50 % (25649)Termination phase: Saturation
% 56.88/9.50
% 56.88/9.50 % (25649)Memory used [KB]: 10106
% 56.88/9.50 % (25649)Time elapsed: 0.301 s
% 56.88/9.50 % (25649)Instructions burned: 1189 (million)
% 56.88/9.50 % (25649)------------------------------
% 56.88/9.50 % (25649)------------------------------
% 56.88/9.51 % (25655)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_24989 for (2921ds/4604Mi)
% 57.40/9.67 % (25647)Instruction limit reached!
% 57.40/9.67 % (25647)------------------------------
% 57.40/9.67 % (25647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.40/9.67 % (25647)Termination reason: Unknown
% 57.40/9.67 % (25647)Termination phase: Saturation
% 57.40/9.67
% 57.40/9.67 % (25647)Memory used [KB]: 9338
% 57.40/9.67 % (25647)Time elapsed: 0.745 s
% 57.40/9.67 % (25647)Instructions burned: 3115 (million)
% 57.40/9.67 % (25647)------------------------------
% 57.40/9.67 % (25647)------------------------------
% 57.40/9.68 % (25656)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_24989 for (2919ds/2678Mi)
% 57.57/9.77 % (25651)Instruction limit reached!
% 57.57/9.77 % (25651)------------------------------
% 57.57/9.77 % (25651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.57/9.77 % (25651)Termination reason: Unknown
% 57.57/9.77 % (25651)Termination phase: Saturation
% 57.57/9.77
% 57.57/9.77 % (25651)Memory used [KB]: 10618
% 57.57/9.77 % (25651)Time elapsed: 0.470 s
% 57.57/9.77 % (25651)Instructions burned: 1516 (million)
% 57.57/9.77 % (25651)------------------------------
% 57.57/9.77 % (25651)------------------------------
% 57.57/9.78 % (25657)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_24989 for (2918ds/643Mi)
% 58.16/9.87 % (25652)Instruction limit reached!
% 58.16/9.87 % (25652)------------------------------
% 58.16/9.87 % (25652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.16/9.87 % (25652)Termination reason: Unknown
% 58.16/9.87 % (25652)Termination phase: Saturation
% 58.16/9.87
% 58.16/9.87 % (25652)Memory used [KB]: 9210
% 58.16/9.87 % (25652)Time elapsed: 0.575 s
% 58.16/9.87 % (25652)Instructions burned: 2321 (million)
% 58.16/9.87 % (25652)------------------------------
% 58.16/9.87 % (25652)------------------------------
% 58.16/9.88 % (25658)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_24989 for (2917ds/458Mi)
% 58.85/9.94 % (25657)Instruction limit reached!
% 58.85/9.94 % (25657)------------------------------
% 58.85/9.94 % (25657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.85/9.94 % (25657)Termination reason: Unknown
% 58.85/9.94 % (25657)Termination phase: Saturation
% 58.85/9.94
% 58.85/9.94 % (25657)Memory used [KB]: 8955
% 58.85/9.94 % (25657)Time elapsed: 0.161 s
% 58.85/9.94 % (25657)Instructions burned: 643 (million)
% 58.85/9.94 % (25657)------------------------------
% 58.85/9.94 % (25657)------------------------------
% 58.85/9.95 % (25659)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_24989 for (2916ds/2546Mi)
% 58.85/9.95 % (25650)Instruction limit reached!
% 58.85/9.95 % (25650)------------------------------
% 58.85/9.95 % (25650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.85/9.95 % (25650)Termination reason: Unknown
% 58.85/9.95 % (25650)Termination phase: Saturation
% 58.85/9.95
% 58.85/9.95 % (25650)Memory used [KB]: 7291
% 58.85/9.95 % (25650)Time elapsed: 0.727 s
% 58.85/9.95 % (25650)Instructions burned: 2869 (million)
% 58.85/9.95 % (25650)------------------------------
% 58.85/9.95 % (25650)------------------------------
% 58.85/9.96 % (25660)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_24989 for (2916ds/1432Mi)
% 58.85/10.00 % (25658)Instruction limit reached!
% 58.85/10.00 % (25658)------------------------------
% 58.85/10.00 % (25658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.85/10.00 % (25658)Termination reason: Unknown
% 58.85/10.00 % (25658)Termination phase: Saturation
% 58.85/10.00
% 58.85/10.00 % (25658)Memory used [KB]: 8699
% 58.85/10.00 % (25658)Time elapsed: 0.112 s
% 58.85/10.00 % (25658)Instructions burned: 461 (million)
% 58.85/10.00 % (25658)------------------------------
% 58.85/10.00 % (25658)------------------------------
% 58.85/10.00 % (25661)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_24989 for (2916ds/386Mi)
% 61.69/10.09 % (25661)Instruction limit reached!
% 61.69/10.09 % (25661)------------------------------
% 61.69/10.09 % (25661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 61.69/10.09 % (25661)Termination reason: Unknown
% 61.69/10.09 % (25661)Termination phase: Saturation
% 61.69/10.09
% 61.69/10.09 % (25661)Memory used [KB]: 6524
% 61.69/10.09 % (25661)Time elapsed: 0.091 s
% 61.69/10.09 % (25661)Instructions burned: 388 (million)
% 61.69/10.09 % (25661)------------------------------
% 61.69/10.09 % (25661)------------------------------
% 61.69/10.11 % (25662)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_24989 for (2915ds/360Mi)
% 62.36/10.19 % (25662)Instruction limit reached!
% 62.36/10.19 % (25662)------------------------------
% 62.36/10.19 % (25662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.36/10.19 % (25662)Termination reason: Unknown
% 62.36/10.19 % (25662)Termination phase: Saturation
% 62.36/10.19
% 62.36/10.19 % (25662)Memory used [KB]: 6524
% 62.36/10.19 % (25662)Time elapsed: 0.090 s
% 62.36/10.19 % (25662)Instructions burned: 360 (million)
% 62.36/10.19 % (25662)------------------------------
% 62.36/10.19 % (25662)------------------------------
% 62.91/10.20 % (25663)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_24989 for (2914ds/5446Mi)
% 62.91/10.24 % (25653)Instruction limit reached!
% 62.91/10.24 % (25653)------------------------------
% 62.91/10.24 % (25653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.91/10.24 % (25653)Termination reason: Unknown
% 62.91/10.24 % (25653)Termination phase: Saturation
% 62.91/10.24
% 62.91/10.24 % (25653)Memory used [KB]: 9978
% 62.91/10.24 % (25653)Time elapsed: 0.885 s
% 62.91/10.24 % (25653)Instructions burned: 2813 (million)
% 62.91/10.24 % (25653)------------------------------
% 62.91/10.24 % (25653)------------------------------
% 62.91/10.25 % (25664)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_24989 for (2913ds/2573Mi)
% 62.91/10.29 % (25660)Instruction limit reached!
% 62.91/10.29 % (25660)------------------------------
% 62.91/10.29 % (25660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.91/10.29 % (25660)Termination reason: Unknown
% 62.91/10.29 % (25660)Termination phase: Saturation
% 62.91/10.29
% 62.91/10.29 % (25660)Memory used [KB]: 12537
% 62.91/10.29 % (25660)Time elapsed: 0.333 s
% 62.91/10.29 % (25660)Instructions burned: 1435 (million)
% 62.91/10.29 % (25660)------------------------------
% 62.91/10.29 % (25660)------------------------------
% 63.48/10.30 % (25665)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_24989 for (2913ds/2655Mi)
% 63.48/10.35 % (25656)Instruction limit reached!
% 63.48/10.35 % (25656)------------------------------
% 63.48/10.35 % (25656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.48/10.35 % (25656)Termination reason: Unknown
% 63.48/10.35 % (25656)Termination phase: Saturation
% 63.48/10.35
% 63.48/10.35 % (25656)Memory used [KB]: 12537
% 63.48/10.35 % (25656)Time elapsed: 0.676 s
% 63.48/10.35 % (25656)Instructions burned: 2679 (million)
% 63.48/10.35 % (25656)------------------------------
% 63.48/10.35 % (25656)------------------------------
% 63.48/10.36 % (25666)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_24989 for (2912ds/2781Mi)
% 64.13/10.55 % (25639)Instruction limit reached!
% 64.13/10.55 % (25639)------------------------------
% 64.13/10.55 % (25639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.13/10.55 % (25639)Termination reason: Unknown
% 64.13/10.55 % (25639)Termination phase: Saturation
% 64.13/10.55
% 64.13/10.55 % (25639)Memory used [KB]: 8955
% 64.13/10.55 % (25639)Time elapsed: 2.261 s
% 64.13/10.55 % (25639)Instructions burned: 7258 (million)
% 64.13/10.55 % (25639)------------------------------
% 64.13/10.55 % (25639)------------------------------
% 64.13/10.56 % (25667)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_24989 for (2910ds/307Mi)
% 64.39/10.63 % (25667)Instruction limit reached!
% 64.39/10.63 % (25667)------------------------------
% 64.39/10.63 % (25667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.39/10.63 % (25667)Termination reason: Unknown
% 64.39/10.63 % (25667)Termination phase: Saturation
% 64.39/10.63
% 64.39/10.63 % (25667)Memory used [KB]: 6524
% 64.39/10.63 % (25667)Time elapsed: 0.076 s
% 64.39/10.63 % (25667)Instructions burned: 308 (million)
% 64.39/10.63 % (25667)------------------------------
% 64.39/10.63 % (25667)------------------------------
% 64.39/10.64 % (25668)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_24989 for (2909ds/1548Mi)
% 64.68/10.72 % (25659)Instruction limit reached!
% 64.68/10.72 % (25659)------------------------------
% 64.68/10.72 % (25659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.68/10.72 % (25659)Termination reason: Unknown
% 64.68/10.72 % (25659)Termination phase: Saturation
% 64.68/10.72
% 64.68/10.72 % (25659)Memory used [KB]: 10490
% 64.68/10.72 % (25659)Time elapsed: 0.774 s
% 64.68/10.72 % (25659)Instructions burned: 2548 (million)
% 64.68/10.72 % (25659)------------------------------
% 64.68/10.72 % (25659)------------------------------
% 64.68/10.73 % (25670)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_24989 for (2908ds/5214Mi)
% 64.82/10.89 % (25664)Instruction limit reached!
% 64.82/10.89 % (25664)------------------------------
% 64.82/10.89 % (25664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.82/10.89 % (25664)Termination reason: Unknown
% 64.82/10.89 % (25664)Termination phase: Saturation
% 64.82/10.89
% 64.82/10.89 % (25664)Memory used [KB]: 10234
% 64.82/10.89 % (25664)Time elapsed: 0.657 s
% 64.82/10.89 % (25664)Instructions burned: 2573 (million)
% 64.82/10.89 % (25664)------------------------------
% 64.82/10.89 % (25664)------------------------------
% 65.56/10.90 % (25671)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_24989 for (2907ds/3201Mi)
% 65.56/10.94 % (25655)Instruction limit reached!
% 65.56/10.94 % (25655)------------------------------
% 65.56/10.94 % (25655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.56/10.94 % (25655)Termination reason: Unknown
% 65.56/10.94 % (25655)Termination phase: Saturation
% 65.56/10.94
% 65.56/10.94 % (25655)Memory used [KB]: 13048
% 65.56/10.94 % (25655)Time elapsed: 1.432 s
% 65.56/10.94 % (25655)Instructions burned: 4607 (million)
% 65.56/10.94 % (25655)------------------------------
% 65.56/10.94 % (25655)------------------------------
% 65.56/10.95 % (25672)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_24989 for (2906ds/454Mi)
% 65.56/10.95 % (25665)Instruction limit reached!
% 65.56/10.95 % (25665)------------------------------
% 65.56/10.95 % (25665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.56/10.95 % (25665)Termination reason: Unknown
% 65.56/10.95 % (25665)Termination phase: Saturation
% 65.56/10.95
% 65.56/10.95 % (25665)Memory used [KB]: 3965
% 65.56/10.95 % (25665)Time elapsed: 0.656 s
% 65.56/10.95 % (25665)Instructions burned: 2656 (million)
% 65.56/10.95 % (25665)------------------------------
% 65.56/10.95 % (25665)------------------------------
% 65.56/10.97 % (25673)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_24989 for (2906ds/3049Mi)
% 68.70/11.06 % (25672)Instruction limit reached!
% 68.70/11.06 % (25672)------------------------------
% 68.70/11.06 % (25672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.70/11.06 % (25672)Termination reason: Unknown
% 68.70/11.06 % (25672)Termination phase: Saturation
% 68.70/11.06
% 68.70/11.06 % (25672)Memory used [KB]: 13560
% 68.70/11.06 % (25672)Time elapsed: 0.115 s
% 68.70/11.06 % (25672)Instructions burned: 454 (million)
% 68.70/11.06 % (25672)------------------------------
% 68.70/11.06 % (25672)------------------------------
% 68.70/11.07 % (25674)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_24989 for (2905ds/7311Mi)
% 68.70/11.11 % (25668)Instruction limit reached!
% 68.70/11.11 % (25668)------------------------------
% 68.70/11.11 % (25668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.70/11.11 % (25668)Termination reason: Unknown
% 68.70/11.11 % (25668)Termination phase: Saturation
% 68.70/11.11
% 68.70/11.11 % (25668)Memory used [KB]: 9850
% 68.70/11.11 % (25668)Time elapsed: 0.471 s
% 68.70/11.11 % (25668)Instructions burned: 1549 (million)
% 68.70/11.11 % (25668)------------------------------
% 68.70/11.11 % (25668)------------------------------
% 68.70/11.12 % (25675)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_24989 for (2905ds/6804Mi)
% 69.72/11.20 % (25666)Instruction limit reached!
% 69.72/11.20 % (25666)------------------------------
% 69.72/11.20 % (25666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.72/11.20 % (25666)Termination reason: Unknown
% 69.72/11.20 % (25666)Termination phase: Saturation
% 69.72/11.20
% 69.72/11.20 % (25666)Memory used [KB]: 7164
% 69.72/11.21 % (25666)Time elapsed: 0.842 s
% 69.72/11.21 % (25666)Instructions burned: 2782 (million)
% 69.72/11.21 % (25666)------------------------------
% 69.72/11.21 % (25666)------------------------------
% 69.72/11.22 % (25676)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_24989 for (2904ds/1683Mi)
% 71.76/11.71 % (25676)Instruction limit reached!
% 71.76/11.71 % (25676)------------------------------
% 71.76/11.71 % (25676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.76/11.71 % (25676)Termination reason: Unknown
% 71.76/11.71 % (25676)Termination phase: Saturation
% 71.76/11.71
% 71.76/11.71 % (25676)Memory used [KB]: 15095
% 71.76/11.71 % (25676)Time elapsed: 0.518 s
% 71.76/11.71 % (25676)Instructions burned: 1683 (million)
% 71.76/11.71 % (25676)------------------------------
% 71.76/11.71 % (25676)------------------------------
% 71.76/11.72 % (25677)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_24989 for (2899ds/4688Mi)
% 72.65/11.81 % (25670)Instruction limit reached!
% 72.65/11.81 % (25670)------------------------------
% 72.65/11.81 % (25670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.65/11.81 % (25670)Termination reason: Unknown
% 72.65/11.81 % (25670)Termination phase: Saturation
% 72.65/11.81
% 72.65/11.81 % (25670)Memory used [KB]: 7931
% 72.65/11.81 % (25670)Time elapsed: 1.082 s
% 72.65/11.81 % (25670)Instructions burned: 5218 (million)
% 72.65/11.81 % (25670)------------------------------
% 72.65/11.81 % (25670)------------------------------
% 72.65/11.82 % (25678)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_24989 for (2897ds/2207Mi)
% 72.65/11.87 % (25673)Instruction limit reached!
% 72.65/11.87 % (25673)------------------------------
% 72.65/11.87 % (25673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.65/11.87 % (25673)Termination reason: Unknown
% 72.65/11.87 % (25673)Termination phase: Saturation
% 72.65/11.87
% 72.65/11.87 % (25673)Memory used [KB]: 8827
% 72.65/11.87 % (25673)Time elapsed: 0.909 s
% 72.65/11.87 % (25673)Instructions burned: 3051 (million)
% 72.65/11.87 % (25673)------------------------------
% 72.65/11.87 % (25673)------------------------------
% 72.65/11.88 % (25679)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=8216:si=on:rtra=on_0 on DTF2THF_24989 for (2897ds/8216Mi)
% 72.96/11.95 % (25671)Instruction limit reached!
% 72.96/11.95 % (25671)------------------------------
% 72.96/11.95 % (25671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.96/11.95 % (25671)Termination reason: Unknown
% 72.96/11.95 % (25671)Termination phase: Saturation
% 72.96/11.95
% 72.96/11.95 % (25671)Memory used [KB]: 10362
% 72.96/11.95 % (25671)Time elapsed: 1.048 s
% 72.96/11.95 % (25671)Instructions burned: 3202 (million)
% 72.96/11.95 % (25671)------------------------------
% 72.96/11.95 % (25671)------------------------------
% 72.96/11.95 % (25663)Instruction limit reached!
% 72.96/11.95 % (25663)------------------------------
% 72.96/11.95 % (25663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.96/11.95 % (25663)Termination reason: Unknown
% 72.96/11.95 % (25663)Termination phase: Saturation
% 72.96/11.95
% 72.96/11.95 % (25663)Memory used [KB]: 14711
% 72.96/11.95 % (25663)Time elapsed: 1.772 s
% 72.96/11.95 % (25663)Instructions burned: 5448 (million)
% 72.96/11.95 % (25663)------------------------------
% 72.96/11.95 % (25663)------------------------------
% 72.96/11.96 % (25681)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_24989 for (2896ds/2012Mi)
% 72.96/11.97 % (25680)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_24989 for (2896ds/430Mi)
% 75.70/12.09 % (25680)Instruction limit reached!
% 75.70/12.09 % (25680)------------------------------
% 75.70/12.09 % (25680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 75.70/12.09 % (25680)Termination reason: Unknown
% 75.70/12.09 % (25680)Termination phase: Saturation
% 75.70/12.09
% 75.70/12.09 % (25680)Memory used [KB]: 9722
% 75.70/12.09 % (25680)Time elapsed: 0.124 s
% 75.70/12.09 % (25680)Instructions burned: 430 (million)
% 75.70/12.09 % (25680)------------------------------
% 75.70/12.09 % (25680)------------------------------
% 75.70/12.10 % (25683)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_24989 for (2895ds/631Mi)
% 76.86/12.29 % (25683)Instruction limit reached!
% 76.86/12.29 % (25683)------------------------------
% 76.86/12.29 % (25683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.86/12.29 % (25683)Termination reason: Unknown
% 76.86/12.29 % (25683)Termination phase: Saturation
% 76.86/12.29
% 76.86/12.29 % (25683)Memory used [KB]: 6908
% 76.86/12.29 % (25683)Time elapsed: 0.189 s
% 76.86/12.29 % (25683)Instructions burned: 632 (million)
% 76.86/12.29 % (25683)------------------------------
% 76.86/12.29 % (25683)------------------------------
% 77.64/12.30 % (25684)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_24989 for (2893ds/8785Mi)
% 78.25/12.44 % (25681)Instruction limit reached!
% 78.25/12.44 % (25681)------------------------------
% 78.25/12.44 % (25681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.25/12.44 % (25681)Termination reason: Unknown
% 78.25/12.44 % (25681)Termination phase: Saturation
% 78.25/12.44
% 78.25/12.44 % (25681)Memory used [KB]: 11129
% 78.25/12.44 % (25681)Time elapsed: 0.480 s
% 78.25/12.44 % (25681)Instructions burned: 2015 (million)
% 78.25/12.44 % (25681)------------------------------
% 78.25/12.44 % (25681)------------------------------
% 78.25/12.45 % (25685)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_24989 for (2891ds/739Mi)
% 78.81/12.50 % (25678)Instruction limit reached!
% 78.81/12.50 % (25678)------------------------------
% 78.81/12.50 % (25678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.81/12.50 % (25678)Termination reason: Unknown
% 78.81/12.50 % (25678)Termination phase: Saturation
% 78.81/12.50
% 78.81/12.50 % (25678)Memory used [KB]: 9594
% 78.81/12.50 % (25678)Time elapsed: 0.680 s
% 78.81/12.50 % (25678)Instructions burned: 2208 (million)
% 78.81/12.50 % (25678)------------------------------
% 78.81/12.50 % (25678)------------------------------
% 78.81/12.51 % (25686)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_24989 for (2891ds/5473Mi)
% 79.22/12.68 % (25685)Instruction limit reached!
% 79.22/12.68 % (25685)------------------------------
% 79.22/12.68 % (25685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.22/12.68 % (25685)Termination reason: Unknown
% 79.22/12.68 % (25685)Termination phase: Saturation
% 79.22/12.68
% 79.22/12.68 % (25685)Memory used [KB]: 10490
% 79.22/12.68 % (25685)Time elapsed: 0.230 s
% 79.22/12.68 % (25685)Instructions burned: 742 (million)
% 79.22/12.68 % (25685)------------------------------
% 79.22/12.68 % (25685)------------------------------
% 79.22/12.69 % (25687)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_24989 for (2889ds/43570Mi)
% 82.76/13.10 % (25677)Instruction limit reached!
% 82.76/13.10 % (25677)------------------------------
% 82.76/13.10 % (25677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 82.76/13.10 % (25677)Termination reason: Unknown
% 82.76/13.10 % (25677)Termination phase: Saturation
% 82.76/13.10
% 82.76/13.10 % (25677)Memory used [KB]: 12920
% 82.76/13.10 % (25677)Time elapsed: 1.400 s
% 82.76/13.10 % (25677)Instructions burned: 4690 (million)
% 82.76/13.10 % (25677)------------------------------
% 82.76/13.10 % (25677)------------------------------
% 82.76/13.11 % (25688)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_24989 for (2885ds/8382Mi)
% 83.88/13.23 % (25675)Instruction limit reached!
% 83.88/13.23 % (25675)------------------------------
% 83.88/13.23 % (25675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.88/13.23 % (25675)Termination reason: Unknown
% 83.88/13.23 % (25675)Termination phase: Saturation
% 83.88/13.23
% 83.88/13.23 % (25675)Memory used [KB]: 15991
% 83.88/13.23 % (25675)Time elapsed: 2.128 s
% 83.88/13.23 % (25675)Instructions burned: 6806 (million)
% 83.88/13.23 % (25675)------------------------------
% 83.88/13.23 % (25675)------------------------------
% 83.88/13.24 % (25690)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_24989 for (2883ds/407Mi)
% 84.42/13.34 % (25690)Instruction limit reached!
% 84.42/13.34 % (25690)------------------------------
% 84.42/13.34 % (25690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.42/13.34 % (25690)Termination reason: Unknown
% 84.42/13.34 % (25690)Termination phase: Saturation
% 84.42/13.34
% 84.42/13.34 % (25690)Memory used [KB]: 7547
% 84.42/13.34 % (25690)Time elapsed: 0.108 s
% 84.42/13.34 % (25690)Instructions burned: 408 (million)
% 84.42/13.34 % (25690)------------------------------
% 84.42/13.34 % (25690)------------------------------
% 84.42/13.35 % (25691)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_24989 for (2882ds/2971Mi)
% 84.42/13.39 % (25674)Refutation not found, non-redundant clauses discarded% (25674)------------------------------
% 84.42/13.39 % (25674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.42/13.39 % (25674)Termination reason: Refutation not found, non-redundant clauses discarded
% 84.42/13.39
% 84.42/13.39 % (25674)Memory used [KB]: 18933
% 84.42/13.39 % (25674)Time elapsed: 2.337 s
% 84.42/13.39 % (25674)Instructions burned: 7259 (million)
% 84.42/13.39 % (25674)------------------------------
% 84.42/13.39 % (25674)------------------------------
% 85.05/13.40 % (25697)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_24989 for (2882ds/9822Mi)
% 89.76/14.12 % (25691)Instruction limit reached!
% 89.76/14.12 % (25691)------------------------------
% 89.76/14.12 % (25691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 89.76/14.12 % (25691)Termination reason: Unknown
% 89.76/14.12 % (25691)Termination phase: Saturation
% 89.76/14.12
% 89.76/14.12 % (25691)Memory used [KB]: 7675
% 89.76/14.12 % (25691)Time elapsed: 0.765 s
% 89.76/14.12 % (25691)Instructions burned: 2971 (million)
% 89.76/14.12 % (25691)------------------------------
% 89.76/14.12 % (25691)------------------------------
% 90.50/14.13 % (25710)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_24989 for (2875ds/8425Mi)
% 90.50/14.14 % (25686)Instruction limit reached!
% 90.50/14.14 % (25686)------------------------------
% 90.50/14.14 % (25686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.50/14.14 % (25686)Termination reason: Unknown
% 90.50/14.14 % (25686)Termination phase: Saturation
% 90.50/14.14
% 90.50/14.14 % (25686)Memory used [KB]: 10874
% 90.50/14.14 % (25686)Time elapsed: 1.636 s
% 90.50/14.14 % (25686)Instructions burned: 5473 (million)
% 90.50/14.14 % (25686)------------------------------
% 90.50/14.14 % (25686)------------------------------
% 90.50/14.15 % (25712)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_24989 for (2874ds/3107Mi)
% 90.88/14.24 % (25679)Instruction limit reached!
% 90.88/14.24 % (25679)------------------------------
% 90.88/14.24 % (25679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.88/14.24 % (25679)Termination reason: Unknown
% 90.88/14.24 % (25679)Termination phase: Saturation
% 90.88/14.24
% 90.88/14.24 % (25679)Memory used [KB]: 13176
% 90.88/14.24 % (25679)Time elapsed: 2.363 s
% 90.88/14.24 % (25679)Instructions burned: 8218 (million)
% 90.88/14.24 % (25679)------------------------------
% 90.88/14.24 % (25679)------------------------------
% 90.88/14.26 % (25729)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_24989 for (2873ds/7967Mi)
% 96.83/15.05 % (25684)Instruction limit reached!
% 96.83/15.05 % (25684)------------------------------
% 96.83/15.05 % (25684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 96.83/15.05 % (25684)Termination reason: Unknown
% 96.83/15.05 % (25684)Termination phase: Saturation
% 96.83/15.05
% 96.83/15.05 % (25684)Memory used [KB]: 17142
% 96.83/15.05 % (25684)Time elapsed: 2.751 s
% 96.83/15.05 % (25684)Instructions burned: 8787 (million)
% 96.83/15.05 % (25684)------------------------------
% 96.83/15.05 % (25684)------------------------------
% 96.83/15.06 % (26050)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_24989 for (2865ds/3629Mi)
% 96.83/15.10 % (25712)Instruction limit reached!
% 96.83/15.10 % (25712)------------------------------
% 96.83/15.10 % (25712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 96.83/15.10 % (25712)Termination reason: Unknown
% 96.83/15.10 % (25712)Termination phase: Saturation
% 96.83/15.10
% 96.83/15.10 % (25712)Memory used [KB]: 14839
% 96.83/15.10 % (25712)Time elapsed: 0.945 s
% 96.83/15.10 % (25712)Instructions burned: 3108 (million)
% 96.83/15.10 % (25712)------------------------------
% 96.83/15.10 % (25712)------------------------------
% 96.83/15.11 % (26082)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on DTF2THF_24989 for (2865ds/939Mi)
% 98.26/15.38 % (25688)Instruction limit reached!
% 98.26/15.38 % (25688)------------------------------
% 98.26/15.38 % (25688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.26/15.38 % (25688)Termination reason: Unknown
% 98.26/15.38 % (25688)Termination phase: Saturation
% 98.26/15.38
% 98.26/15.38 % (25688)Memory used [KB]: 12920
% 98.26/15.38 % (25688)Time elapsed: 2.271 s
% 98.26/15.38 % (25688)Instructions burned: 8383 (million)
% 98.26/15.38 % (25688)------------------------------
% 98.26/15.38 % (25688)------------------------------
% 98.26/15.39 % (26145)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_24989 for (2862ds/1188Mi)
% 98.26/15.39 % (26082)Instruction limit reached!
% 98.26/15.39 % (26082)------------------------------
% 98.26/15.39 % (26082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.26/15.39 % (26082)Termination reason: Unknown
% 98.26/15.39 % (26082)Termination phase: Saturation
% 98.26/15.39
% 98.26/15.39 % (26082)Memory used [KB]: 8059
% 98.26/15.39 % (26082)Time elapsed: 0.308 s
% 98.26/15.39 % (26082)Instructions burned: 939 (million)
% 98.26/15.39 % (26082)------------------------------
% 98.26/15.39 % (26082)------------------------------
% 99.06/15.41 % (26156)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on DTF2THF_24989 for (2862ds/3205Mi)
% 99.86/15.65 % (26050)Refutation not found, non-redundant clauses discarded% (26050)------------------------------
% 99.86/15.65 % (26050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.86/15.65 % (26050)Termination reason: Refutation not found, non-redundant clauses discarded
% 99.86/15.65
% 99.86/15.65 % (26050)Memory used [KB]: 7803
% 99.86/15.65 % (26050)Time elapsed: 0.618 s
% 99.86/15.65 % (26050)Instructions burned: 2424 (million)
% 99.86/15.65 % (26050)------------------------------
% 99.86/15.65 % (26050)------------------------------
% 99.86/15.67 % (26228)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_24989 for (2859ds/865Mi)
% 100.88/15.71 % (26145)Instruction limit reached!
% 100.88/15.71 % (26145)------------------------------
% 100.88/15.71 % (26145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.88/15.71 % (26145)Termination reason: Unknown
% 100.88/15.71 % (26145)Termination phase: Saturation
% 100.88/15.71
% 100.88/15.71 % (26145)Memory used [KB]: 9722
% 100.88/15.71 % (26145)Time elapsed: 0.342 s
% 100.88/15.71 % (26145)Instructions burned: 1189 (million)
% 100.88/15.71 % (26145)------------------------------
% 100.88/15.71 % (26145)------------------------------
% 100.88/15.72 % (26229)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on DTF2THF_24989 for (2858ds/7469Mi)
% 101.98/15.93 % (26228)Instruction limit reached!
% 101.98/15.93 % (26228)------------------------------
% 101.98/15.93 % (26228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 101.98/15.93 % (26228)Termination reason: Unknown
% 101.98/15.93 % (26228)Termination phase: Saturation
% 101.98/15.93
% 101.98/15.93 % (26228)Memory used [KB]: 6780
% 101.98/15.93 % (26228)Time elapsed: 0.293 s
% 101.98/15.93 % (26228)Instructions burned: 865 (million)
% 101.98/15.93 % (26228)------------------------------
% 101.98/15.93 % (26228)------------------------------
% 101.98/15.95 % (26231)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on DTF2THF_24989 for (2856ds/4165Mi)
% 105.01/16.22 % (25729)Instruction limit reached!
% 105.01/16.22 % (25729)------------------------------
% 105.01/16.22 % (25729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.01/16.22 % (25729)Termination reason: Unknown
% 105.01/16.22 % (25729)Termination phase: Saturation
% 105.01/16.22
% 105.01/16.22 % (25729)Memory used [KB]: 10490
% 105.01/16.22 % (25729)Time elapsed: 1.968 s
% 105.01/16.22 % (25729)Instructions burned: 7967 (million)
% 105.01/16.22 % (25729)------------------------------
% 105.01/16.22 % (25729)------------------------------
% 105.01/16.23 % (26234)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on DTF2THF_24989 for (2853ds/13468Mi)
% 106.85/16.53 % (25697)Refutation not found, non-redundant clauses discarded% (25697)------------------------------
% 106.85/16.53 % (25697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 106.85/16.53 % (25697)Termination reason: Refutation not found, non-redundant clauses discarded
% 106.85/16.53
% 106.85/16.53 % (25697)Memory used [KB]: 18038
% 106.85/16.53 % (25697)Time elapsed: 3.133 s
% 106.85/16.53 % (25697)Instructions burned: 9734 (million)
% 106.85/16.53 % (25697)------------------------------
% 106.85/16.53 % (25697)------------------------------
% 106.85/16.54 % (26274)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on DTF2THF_24989 for (2850ds/2635Mi)
% 107.39/16.60 % (26156)Instruction limit reached!
% 107.39/16.60 % (26156)------------------------------
% 107.39/16.60 % (26156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 107.39/16.60 % (26156)Termination reason: Unknown
% 107.39/16.60 % (26156)Termination phase: Saturation
% 107.39/16.60
% 107.39/16.60 % (26156)Memory used [KB]: 13688
% 107.39/16.60 % (26156)Time elapsed: 1.216 s
% 107.39/16.60 % (26156)Instructions burned: 3206 (million)
% 107.39/16.60 % (26156)------------------------------
% 107.39/16.60 % (26156)------------------------------
% 107.39/16.62 % (26278)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on DTF2THF_24989 for (2849ds/631Mi)
% 108.21/16.85 % (26278)Instruction limit reached!
% 108.21/16.85 % (26278)------------------------------
% 108.21/16.85 % (26278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 108.21/16.85 % (26278)Termination reason: Unknown
% 108.21/16.85 % (26278)Termination phase: Saturation
% 108.21/16.85
% 108.21/16.85 % (26278)Memory used [KB]: 8955
% 108.21/16.85 % (26278)Time elapsed: 0.232 s
% 108.21/16.85 % (26278)Instructions burned: 633 (million)
% 108.21/16.85 % (26278)------------------------------
% 108.21/16.85 % (26278)------------------------------
% 108.21/16.86 % (26295)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on DTF2THF_24989 for (2847ds/15557Mi)
% 108.84/16.93 % (25710)Instruction limit reached!
% 108.84/16.93 % (25710)------------------------------
% 108.84/16.93 % (25710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 108.84/16.93 % (25710)Termination reason: Unknown
% 108.84/16.93 % (25710)Termination phase: Saturation
% 108.84/16.93
% 108.84/16.93 % (25710)Memory used [KB]: 11897
% 108.84/16.93 % (25710)Time elapsed: 2.833 s
% 108.84/16.93 % (25710)Instructions burned: 8428 (million)
% 108.84/16.93 % (25710)------------------------------
% 108.84/16.93 % (25710)------------------------------
% 108.84/16.94 % (26296)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on DTF2THF_24989 for (2846ds/2142Mi)
% 113.44/17.42 % (26274)Instruction limit reached!
% 113.44/17.42 % (26274)------------------------------
% 113.44/17.42 % (26274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.44/17.42 % (26274)Termination reason: Unknown
% 113.44/17.42 % (26274)Termination phase: Saturation
% 113.44/17.42
% 113.44/17.42 % (26274)Memory used [KB]: 10362
% 113.44/17.42 % (26274)Time elapsed: 0.875 s
% 113.44/17.42 % (26274)Instructions burned: 2636 (million)
% 113.44/17.42 % (26274)------------------------------
% 113.44/17.42 % (26274)------------------------------
% 113.44/17.43 % (26492)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on DTF2THF_24989 for (2841ds/5624Mi)
% 114.07/17.52 % (26231)Instruction limit reached!
% 114.07/17.52 % (26231)------------------------------
% 114.07/17.52 % (26231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 114.07/17.52 % (26231)Termination reason: Unknown
% 114.07/17.52 % (26231)Termination phase: Saturation
% 114.07/17.52
% 114.07/17.52 % (26231)Memory used [KB]: 18933
% 114.07/17.52 % (26231)Time elapsed: 1.572 s
% 114.07/17.52 % (26231)Instructions burned: 4166 (million)
% 114.07/17.52 % (26231)------------------------------
% 114.07/17.52 % (26231)------------------------------
% 114.07/17.53 % (26531)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on DTF2THF_24989 for (2840ds/1665Mi)
% 114.60/17.61 % (26296)Instruction limit reached!
% 114.60/17.61 % (26296)------------------------------
% 114.60/17.61 % (26296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 114.60/17.61 % (26296)Termination reason: Unknown
% 114.60/17.61 % (26296)Termination phase: Saturation
% 114.60/17.61
% 114.60/17.61 % (26296)Memory used [KB]: 9210
% 114.60/17.61 % (26296)Time elapsed: 0.666 s
% 114.60/17.61 % (26296)Instructions burned: 2143 (million)
% 114.60/17.61 % (26296)------------------------------
% 114.60/17.61 % (26296)------------------------------
% 114.60/17.62 % (26532)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on DTF2THF_24989 for (2839ds/64912Mi)
% 115.80/17.93 % (26531)Instruction limit reached!
% 115.80/17.93 % (26531)------------------------------
% 115.80/17.93 % (26531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 115.80/17.93 % (26531)Termination reason: Unknown
% 115.80/17.93 % (26531)Termination phase: Saturation
% 115.80/17.93
% 115.80/17.93 % (26531)Memory used [KB]: 9083
% 115.80/17.93 % (26531)Time elapsed: 0.404 s
% 115.80/17.93 % (26531)Instructions burned: 1668 (million)
% 115.80/17.93 % (26531)------------------------------
% 115.80/17.93 % (26531)------------------------------
% 115.80/17.94 % (26533)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on DTF2THF_24989 for (2836ds/7801Mi)
% 118.53/18.19 % (26229)Instruction limit reached!
% 118.53/18.19 % (26229)------------------------------
% 118.53/18.19 % (26229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 118.53/18.19 % (26229)Termination reason: Unknown
% 118.53/18.19 % (26229)Termination phase: Saturation
% 118.53/18.19
% 118.53/18.19 % (26229)Memory used [KB]: 12281
% 118.53/18.19 % (26229)Time elapsed: 2.472 s
% 118.53/18.19 % (26229)Instructions burned: 7471 (million)
% 118.53/18.19 % (26229)------------------------------
% 118.53/18.19 % (26229)------------------------------
% 119.04/18.20 % (26534)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on DTF2THF_24989 for (2834ds/15194Mi)
% 125.54/19.14 % (26492)Instruction limit reached!
% 125.54/19.14 % (26492)------------------------------
% 125.54/19.14 % (26492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 125.54/19.14 % (26492)Termination reason: Unknown
% 125.54/19.14 % (26492)Termination phase: Saturation
% 125.54/19.14
% 125.54/19.14 % (26492)Memory used [KB]: 11641
% 125.54/19.14 % (26492)Time elapsed: 1.714 s
% 125.54/19.14 % (26492)Instructions burned: 5624 (million)
% 125.54/19.14 % (26492)------------------------------
% 125.54/19.14 % (26492)------------------------------
% 125.54/19.15 % (26537)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=6753:si=on:rtra=on_0 on DTF2THF_24989 for (2824ds/6753Mi)
% 133.05/20.24 % (26533)Instruction limit reached!
% 133.05/20.24 % (26533)------------------------------
% 133.05/20.24 % (26533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 133.05/20.24 % (26533)Termination reason: Unknown
% 133.05/20.24 % (26533)Termination phase: Saturation
% 133.05/20.24
% 133.05/20.24 % (26533)Memory used [KB]: 19957
% 133.05/20.24 % (26533)Time elapsed: 2.300 s
% 133.05/20.24 % (26533)Instructions burned: 7801 (million)
% 133.05/20.24 % (26533)------------------------------
% 133.05/20.24 % (26533)------------------------------
% 133.05/20.25 % (26539)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on DTF2THF_24989 for (2813ds/1003Mi)
% 133.71/20.38 % (26234)Instruction limit reached!
% 133.71/20.38 % (26234)------------------------------
% 133.71/20.38 % (26234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 133.71/20.38 % (26234)Termination reason: Unknown
% 133.71/20.38 % (26234)Termination phase: Saturation
% 133.71/20.38
% 133.71/20.38 % (26234)Memory used [KB]: 21236
% 133.71/20.38 % (26234)Time elapsed: 4.153 s
% 133.71/20.38 % (26234)Instructions burned: 13468 (million)
% 133.71/20.38 % (26234)------------------------------
% 133.71/20.38 % (26234)------------------------------
% 133.71/20.40 % (26540)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on DTF2THF_24989 for (2812ds/13018Mi)
% 134.33/20.43 % (26295)Instruction limit reached!
% 134.33/20.43 % (26295)------------------------------
% 134.33/20.43 % (26295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 134.33/20.43 % (26295)Termination reason: Unknown
% 134.33/20.43 % (26295)Termination phase: Saturation
% 134.33/20.43
% 134.33/20.43 % (26295)Memory used [KB]: 13688
% 134.33/20.43 % (26295)Time elapsed: 3.573 s
% 134.33/20.43 % (26295)Instructions burned: 15559 (million)
% 134.33/20.43 % (26295)------------------------------
% 134.33/20.43 % (26295)------------------------------
% 134.33/20.44 % (26541)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on DTF2THF_24989 for (2811ds/1267Mi)
% 134.33/20.49 % (26539)Instruction limit reached!
% 134.33/20.49 % (26539)------------------------------
% 134.33/20.49 % (26539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 134.33/20.49 % (26539)Termination reason: Unknown
% 134.33/20.49 % (26539)Termination phase: Saturation
% 134.33/20.49
% 134.33/20.49 % (26539)Memory used [KB]: 6652
% 134.33/20.49 % (26539)Time elapsed: 0.241 s
% 134.33/20.49 % (26539)Instructions burned: 1003 (million)
% 134.33/20.49 % (26539)------------------------------
% 134.33/20.49 % (26539)------------------------------
% 135.03/20.50 % (26542)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=2570:si=on:rtra=on_0 on DTF2THF_24989 for (2811ds/2570Mi)
% 136.24/20.84 % (26541)Instruction limit reached!
% 136.24/20.84 % (26541)------------------------------
% 136.24/20.84 % (26541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 136.24/20.84 % (26541)Termination reason: Unknown
% 136.24/20.84 % (26541)Termination phase: Saturation
% 136.24/20.84
% 136.24/20.84 % (26541)Memory used [KB]: 10490
% 136.24/20.84 % (26541)Time elapsed: 0.402 s
% 136.24/20.84 % (26541)Instructions burned: 1268 (million)
% 136.24/20.84 % (26541)------------------------------
% 136.24/20.84 % (26541)------------------------------
% 136.24/20.85 % (26544)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on DTF2THF_24989 for (2807ds/13163Mi)
% 139.59/21.17 % (26542)Instruction limit reached!
% 139.59/21.17 % (26542)------------------------------
% 139.59/21.17 % (26542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 139.59/21.17 % (26542)Termination reason: Unknown
% 139.59/21.17 % (26542)Termination phase: Saturation
% 139.59/21.17
% 139.59/21.17 % (26542)Memory used [KB]: 12281
% 139.59/21.17 % (26542)Time elapsed: 0.666 s
% 139.59/21.17 % (26542)Instructions burned: 2573 (million)
% 139.59/21.17 % (26542)------------------------------
% 139.59/21.17 % (26542)------------------------------
% 139.59/21.18 % (26545)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on DTF2THF_24989 for (2804ds/5087Mi)
% 140.07/21.27 % (26537)Instruction limit reached!
% 140.07/21.27 % (26537)------------------------------
% 140.07/21.27 % (26537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 140.07/21.27 % (26537)Termination reason: Unknown
% 140.07/21.27 % (26537)Termination phase: Saturation
% 140.07/21.27
% 140.07/21.27 % (26537)Memory used [KB]: 21492
% 140.07/21.27 % (26537)Time elapsed: 2.120 s
% 140.07/21.27 % (26537)Instructions burned: 6753 (million)
% 140.07/21.27 % (26537)------------------------------
% 140.07/21.27 % (26537)------------------------------
% 140.07/21.28 % (26546)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on DTF2THF_24989 for (2803ds/10380Mi)
% 149.90/22.60 % (26534)Instruction limit reached!
% 149.90/22.60 % (26534)------------------------------
% 149.90/22.60 % (26534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 149.90/22.60 % (26534)Termination reason: Unknown
% 149.90/22.60 % (26534)Termination phase: Saturation
% 149.90/22.60
% 149.90/22.60 % (26534)Memory used [KB]: 17142
% 149.90/22.60 % (26534)Time elapsed: 4.405 s
% 149.90/22.60 % (26534)Instructions burned: 15194 (million)
% 149.90/22.60 % (26534)------------------------------
% 149.90/22.60 % (26534)------------------------------
% 149.90/22.62 % (26548)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4218:si=on:rtra=on_0 on DTF2THF_24989 for (2790ds/4218Mi)
% 150.52/22.76 % (26545)Instruction limit reached!
% 150.52/22.76 % (26545)------------------------------
% 150.52/22.76 % (26545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 150.52/22.76 % (26545)Termination reason: Unknown
% 150.52/22.76 % (26545)Termination phase: Saturation
% 150.52/22.76
% 150.52/22.76 % (26545)Memory used [KB]: 11001
% 150.52/22.76 % (26545)Time elapsed: 1.588 s
% 150.52/22.76 % (26545)Instructions burned: 5089 (million)
% 150.52/22.76 % (26545)------------------------------
% 150.52/22.76 % (26545)------------------------------
% 150.52/22.77 % (26549)ott+1666_1:1_hfaw=0:hfsq=on:hfsql=off:hfsqr=1,16:hud=15:slsq=on:slsqr=1,2:tnu=2:i=3971:si=on:rtra=on_0 on DTF2THF_24989 for (2788ds/3971Mi)
% 158.36/23.88 % (26548)Instruction limit reached!
% 158.36/23.88 % (26548)------------------------------
% 158.36/23.88 % (26548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 158.36/23.88 % (26548)Termination reason: Unknown
% 158.36/23.88 % (26548)Termination phase: Saturation
% 158.36/23.88
% 158.36/23.88 % (26548)Memory used [KB]: 10746
% 158.36/23.88 % (26548)Time elapsed: 1.298 s
% 158.36/23.88 % (26548)Instructions burned: 4218 (million)
% 158.36/23.88 % (26548)------------------------------
% 158.36/23.88 % (26548)------------------------------
% 158.36/23.90 % (26551)dis+1010_1:1_anc=all_dependent:au=on:bs=on:sd=5:sp=occurrence:ss=axioms:st=2.0:i=14014:si=on:rtra=on_0 on DTF2THF_24989 for (2777ds/14014Mi)
% 159.05/23.97 % (26549)Instruction limit reached!
% 159.05/23.97 % (26549)------------------------------
% 159.05/23.97 % (26549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 159.05/23.97 % (26549)Termination reason: Unknown
% 159.05/23.97 % (26549)Termination phase: Saturation
% 159.05/23.97
% 159.05/23.97 % (26549)Memory used [KB]: 9594
% 159.05/23.97 % (26549)Time elapsed: 1.202 s
% 159.05/23.97 % (26549)Instructions burned: 3971 (million)
% 159.05/23.97 % (26549)------------------------------
% 159.05/23.97 % (26549)------------------------------
% 159.05/23.98 % (26552)lrs+10_1:1_ins=1:sgt=8:ss=axioms:i=8517:si=on:rtra=on_0 on DTF2THF_24989 for (2776ds/8517Mi)
% 161.17/24.23 % (26546)Refutation not found, non-redundant clauses discarded% (26546)------------------------------
% 161.17/24.23 % (26546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 161.17/24.23 % (26546)Termination reason: Refutation not found, non-redundant clauses discarded
% 161.17/24.23
% 161.17/24.23 % (26546)Memory used [KB]: 13816
% 161.17/24.23 % (26546)Time elapsed: 2.949 s
% 161.17/24.23 % (26546)Instructions burned: 10374 (million)
% 161.17/24.23 % (26546)------------------------------
% 161.17/24.23 % (26546)------------------------------
% 161.17/24.24 % (26553)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=10148:si=on:rtra=on_0 on DTF2THF_24989 for (2773ds/10148Mi)
% 163.03/24.54 % (26540)Instruction limit reached!
% 163.03/24.54 % (26540)------------------------------
% 163.03/24.54 % (26540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 163.03/24.54 % (26540)Termination reason: Unknown
% 163.03/24.54 % (26540)Termination phase: Saturation
% 163.03/24.54
% 163.03/24.54 % (26540)Memory used [KB]: 31598
% 163.03/24.54 % (26540)Time elapsed: 4.146 s
% 163.03/24.54 % (26540)Instructions burned: 13018 (million)
% 163.03/24.54 % (26540)------------------------------
% 163.03/24.54 % (26540)------------------------------
% 163.03/24.55 % (26555)lrs+10_1:2_ntd=on:nwc=10.0:plsq=on:plsqc=1:plsqr=2,1:ss=axioms:i=9078:si=on:rtra=on_0 on DTF2THF_24989 for (2770ds/9078Mi)
% 164.58/24.82 % (26544)Instruction limit reached!
% 164.58/24.82 % (26544)------------------------------
% 164.58/24.82 % (26544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 164.58/24.82 % (26544)Termination reason: Unknown
% 164.58/24.82 % (26544)Termination phase: Saturation
% 164.58/24.82
% 164.58/24.82 % (26544)Memory used [KB]: 23283
% 164.58/24.82 % (26544)Time elapsed: 3.966 s
% 164.58/24.82 % (26544)Instructions burned: 13164 (million)
% 164.58/24.82 % (26544)------------------------------
% 164.58/24.82 % (26544)------------------------------
% 164.58/24.83 % (26556)lrs+2_1:1_bet=on:bsr=on:cnfonf=lazy_pi_sigma_gen:er=filter:kws=inv_frequency:ntd=on:sd=3:ss=axioms:i=16164:si=on:rtra=on_0 on DTF2THF_24989 for (2767ds/16164Mi)
% 174.70/26.18 % (25687)Instruction limit reached!
% 174.70/26.18 % (25687)------------------------------
% 174.70/26.18 % (25687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 174.70/26.18 % (25687)Termination reason: Unknown
% 174.70/26.18 % (25687)Termination phase: Saturation
% 174.70/26.18
% 174.70/26.18 % (25687)Memory used [KB]: 38890
% 174.70/26.18 % (25687)Time elapsed: 13.496 s
% 174.70/26.18 % (25687)Instructions burned: 43571 (million)
% 174.70/26.18 % (25687)------------------------------
% 174.70/26.18 % (25687)------------------------------
% 174.70/26.20 % (26558)lrs+32_1:1_au=on:bet=on:cbe=off:cs=on:ins=3:i=6102:si=on:rtra=on_0 on DTF2THF_24989 for (2754ds/6102Mi)
% 177.60/26.60 % (26552)Instruction limit reached!
% 177.60/26.60 % (26552)------------------------------
% 177.60/26.60 % (26552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 177.60/26.60 % (26552)Termination reason: Unknown
% 177.60/26.60 % (26552)Termination phase: Saturation
% 177.60/26.60
% 177.60/26.60 % (26552)Memory used [KB]: 14967
% 177.60/26.60 % (26552)Time elapsed: 2.618 s
% 177.60/26.60 % (26552)Instructions burned: 8518 (million)
% 177.60/26.60 % (26552)------------------------------
% 177.60/26.60 % (26552)------------------------------
% 177.60/26.61 % (26559)lrs+1010_1:1_au=on:bd=off:e2e=on:fde=unused:nm=4:s2a=on:sos=all:sp=const_frequency:i=10308:si=on:rtra=on_0 on DTF2THF_24989 for (2750ds/10308Mi)
% 182.91/27.37 % (26555)Instruction limit reached!
% 182.91/27.37 % (26555)------------------------------
% 182.91/27.37 % (26555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 182.91/27.37 % (26555)Termination reason: Unknown
% 182.91/27.37 % (26555)Termination phase: Saturation
% 182.91/27.37
% 182.91/27.37 % (26555)Memory used [KB]: 12920
% 182.91/27.37 % (26555)Time elapsed: 2.815 s
% 182.91/27.37 % (26555)Instructions burned: 9080 (million)
% 182.91/27.37 % (26555)------------------------------
% 182.91/27.37 % (26555)------------------------------
% 182.91/27.38 % (26561)dis+1010_1:1_au=on:avsq=on:bd=off:cbe=off:cnfonf=off:cs=on:hud=5:nm=0:plsq=on:plsqc=1:plsqr=7,1:ss=axioms:tgt=full:i=4041:si=on:rtra=on_0 on DTF2THF_24989 for (2742ds/4041Mi)
% 182.91/27.39 % (26553)Instruction limit reached!
% 182.91/27.39 % (26553)------------------------------
% 182.91/27.39 % (26553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 182.91/27.39 % (26553)Termination reason: Unknown
% 182.91/27.39 % (26553)Termination phase: Saturation
% 182.91/27.39
% 182.91/27.39 % (26553)Memory used [KB]: 19829
% 182.91/27.39 % (26553)Time elapsed: 3.147 s
% 182.91/27.39 % (26553)Instructions burned: 10150 (million)
% 182.91/27.39 % (26553)------------------------------
% 182.91/27.39 % (26553)------------------------------
% 183.62/27.40 % (26562)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=6901:si=on:rtra=on_0 on DTF2THF_24989 for (2742ds/6901Mi)
% 186.13/27.97 % (26558)Instruction limit reached!
% 186.13/27.97 % (26558)------------------------------
% 186.13/27.97 % (26558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 186.13/27.97 % (26558)Termination reason: Unknown
% 186.13/27.97 % (26558)Termination phase: Saturation
% 186.13/27.97
% 186.13/27.97 % (26558)Memory used [KB]: 28528
% 186.13/27.97 % (26558)Time elapsed: 1.776 s
% 186.13/27.97 % (26558)Instructions burned: 6104 (million)
% 186.13/27.97 % (26558)------------------------------
% 186.13/27.97 % (26558)------------------------------
% 186.13/27.98 % (26565)lrs-1_1:1_au=on:cbe=off:ntd=on:i=5576:si=on:rtra=on_0 on DTF2THF_24989 for (2736ds/5576Mi)
% 188.76/28.19 % (26551)Instruction limit reached!
% 188.76/28.19 % (26551)------------------------------
% 188.76/28.19 % (26551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 188.76/28.19 % (26551)Termination reason: Unknown
% 188.76/28.19 % (26551)Termination phase: Saturation
% 188.76/28.19
% 188.76/28.19 % (26551)Memory used [KB]: 16630
% 188.76/28.19 % (26551)Time elapsed: 4.294 s
% 188.76/28.19 % (26551)Instructions burned: 14014 (million)
% 188.76/28.19 % (26551)------------------------------
% 188.76/28.19 % (26551)------------------------------
% 189.25/28.20 % (26566)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=2014:si=on:rtra=on_0 on DTF2THF_24989 for (2734ds/2014Mi)
% 191.06/28.52 % (26561)Instruction limit reached!
% 191.06/28.52 % (26561)------------------------------
% 191.06/28.52 % (26561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 191.06/28.52 % (26561)Termination reason: Unknown
% 191.06/28.52 % (26561)Termination phase: Saturation
% 191.06/28.52
% 191.06/28.52 % (26561)Memory used [KB]: 9722
% 191.06/28.52 % (26561)Time elapsed: 1.148 s
% 191.06/28.52 % (26561)Instructions burned: 4041 (million)
% 191.06/28.52 % (26561)------------------------------
% 191.06/28.52 % (26561)------------------------------
% 191.06/28.54 % (26568)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=5115:si=on:rtra=on_0 on DTF2THF_24989 for (2730ds/5115Mi)
% 192.61/28.84 % (26566)Instruction limit reached!
% 192.61/28.84 % (26566)------------------------------
% 192.61/28.84 % (26566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 192.61/28.84 % (26566)Termination reason: Unknown
% 192.61/28.84 % (26566)Termination phase: Saturation
% 192.61/28.84
% 192.61/28.84 % (26566)Memory used [KB]: 11897
% 192.61/28.84 % (26566)Time elapsed: 0.640 s
% 192.61/28.84 % (26566)Instructions burned: 2017 (million)
% 192.61/28.84 % (26566)------------------------------
% 192.61/28.84 % (26566)------------------------------
% 192.61/28.85 % (26569)lrs+2_1:1_au=on:cnfonf=lazy_pi_sigma_gen:sos=on:ss=axioms:i=13001:si=on:rtra=on_0 on DTF2THF_24989 for (2727ds/13001Mi)
% 198.38/29.57 % (26562)Instruction limit reached!
% 198.38/29.57 % (26562)------------------------------
% 198.38/29.57 % (26562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 198.38/29.57 % (26562)Termination reason: Unknown
% 198.38/29.57 % (26562)Termination phase: Saturation
% 198.38/29.57
% 198.38/29.57 % (26562)Memory used [KB]: 13816
% 198.38/29.57 % (26562)Time elapsed: 2.171 s
% 198.38/29.57 % (26562)Instructions burned: 6901 (million)
% 198.38/29.57 % (26562)------------------------------
% 198.38/29.57 % (26562)------------------------------
% 198.38/29.58 % (26709)dis+10_1:2_aac=none:acc=on:atotf=0.1:au=on:fde=none:ins=1:ixr=off:nwc=5.0:i=11105:si=on:rtra=on_0 on DTF2THF_24989 for (2720ds/11105Mi)
% 199.05/29.61 % (26556)Instruction limit reached!
% 199.05/29.61 % (26556)------------------------------
% 199.05/29.61 % (26556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 199.05/29.61 % (26556)Termination reason: Unknown
% 199.05/29.61 % (26556)Termination phase: Saturation
% 199.05/29.61
% 199.05/29.61 % (26556)Memory used [KB]: 16247
% 199.05/29.61 % (26556)Time elapsed: 4.777 s
% 199.05/29.61 % (26556)Instructions burned: 16166 (million)
% 199.05/29.61 % (26556)------------------------------
% 199.05/29.61 % (26556)------------------------------
% 199.05/29.62 % (26722)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=13832:si=on:rtra=on_0 on DTF2THF_24989 for (2719ds/13832Mi)
% 199.05/29.69 % (26565)Instruction limit reached!
% 199.05/29.69 % (26565)------------------------------
% 199.05/29.69 % (26565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 199.05/29.69 % (26565)Termination reason: Unknown
% 199.05/29.69 % (26565)Termination phase: Saturation
% 199.05/29.69
% 199.05/29.69 % (26565)Memory used [KB]: 11129
% 199.05/29.69 % (26565)Time elapsed: 1.711 s
% 199.05/29.69 % (26565)Instructions burned: 5576 (million)
% 199.05/29.69 % (26565)------------------------------
% 199.05/29.69 % (26565)------------------------------
% 199.60/29.70 % (26751)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=32887:si=on:rtra=on_0 on DTF2THF_24989 for (2719ds/32887Mi)
% 200.00/29.82 % (26568)Instruction limit reached!
% 200.00/29.82 % (26568)------------------------------
% 200.00/29.82 % (26568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 200.00/29.82 % (26568)Termination reason: Unknown
% 200.00/29.82 % (26568)Termination phase: Saturation
% 200.00/29.82
% 200.00/29.82 % (26568)Memory used [KB]: 10106
% 200.00/29.82 % (26568)Time elapsed: 1.284 s
% 200.00/29.82 % (26568)Instructions burned: 5118 (million)
% 200.00/29.82 % (26568)------------------------------
% 200.00/29.82 % (26568)------------------------------
% 200.00/29.83 % (26803)dis+1010_2:1_avsq=on:fde=unused:prag=on:i=3362:si=on:rtra=on_0 on DTF2THF_24989 for (2717ds/3362Mi)
% 200.00/29.89 % (26559)Instruction limit reached!
% 200.00/29.89 % (26559)------------------------------
% 200.00/29.89 % (26559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 200.00/29.89 % (26559)Termination reason: Unknown
% 200.00/29.89 % (26559)Termination phase: Saturation
% 200.00/29.89
% 200.00/29.89 % (26559)Memory used [KB]: 18038
% 200.00/29.89 % (26559)Time elapsed: 3.278 s
% 200.00/29.89 % (26559)Instructions burned: 10308 (million)
% 200.00/29.89 % (26559)------------------------------
% 200.00/29.89 % (26559)------------------------------
% 200.34/29.90 % (26825)ott+1002_1:1_au=on:cnfonf=lazy_simp:nwc=5.0:sgt=5:ss=axioms:st=1.5:i=24965:si=on:rtra=on_0 on DTF2THF_24989 for (2717ds/24965Mi)
% 207.50/30.83 % (26803)Instruction limit reached!
% 207.50/30.83 % (26803)------------------------------
% 207.50/30.83 % (26803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 207.50/30.83 % (26803)Termination reason: Unknown
% 207.50/30.83 % (26803)Termination phase: Saturation
% 207.50/30.83
% 207.50/30.83 % (26803)Memory used [KB]: 18421
% 207.50/30.83 % (26803)Time elapsed: 1.003 s
% 207.50/30.83 % (26803)Instructions burned: 3364 (million)
% 207.50/30.83 % (26803)------------------------------
% 207.50/30.83 % (26803)------------------------------
% 207.50/30.84 % (27057)lrs+1010_2:1_amm=off:avsq=on:c=on:cbe=off:e2e=on:fsr=off:ins=3:s2a=on:s2at=-1.0:i=15705:si=on:rtra=on_0 on DTF2THF_24989 for (2707ds/15705Mi)
% 220.78/32.71 % (26569)Instruction limit reached!
% 220.78/32.71 % (26569)------------------------------
% 220.78/32.71 % (26569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 220.78/32.71 % (26569)Termination reason: Unknown
% 220.78/32.71 % (26569)Termination phase: Saturation
% 220.78/32.71
% 220.78/32.71 % (26569)Memory used [KB]: 13176
% 220.78/32.71 % (26569)Time elapsed: 3.866 s
% 220.78/32.71 % (26569)Instructions burned: 13002 (million)
% 220.78/32.71 % (26569)------------------------------
% 220.78/32.71 % (26569)------------------------------
% 220.78/32.72 % (27331)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1536:si=on:rtra=on_0 on DTF2THF_24989 for (2688ds/1536Mi)
% 221.42/32.88 % (26709)First to succeed.
% 221.42/32.89 % (26709)Refutation found. Thanks to Tanya!
% 221.42/32.89 % SZS status Theorem for DTF2THF_24989
% 221.42/32.89 % SZS output start Proof for DTF2THF_24989
% 221.42/32.89 thf(func_def_0, type, in: $i > $i > $o).
% 221.42/32.89 thf(func_def_1, type, exu: ($i > $o) > $o).
% 221.42/32.89 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 221.42/32.89 thf(func_def_8, type, powerset: $i > $i).
% 221.42/32.89 thf(func_def_10, type, setunion: $i > $i).
% 221.42/32.89 thf(func_def_19, type, descr: ($i > $o) > $i).
% 221.42/32.89 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 221.42/32.89 thf(func_def_26, type, prop2set: $o > $i).
% 221.42/32.89 thf(func_def_36, type, nonempty: $i > $o).
% 221.42/32.89 thf(func_def_69, type, set2prop: $i > $o).
% 221.42/32.89 thf(func_def_88, type, subset: $i > $i > $o).
% 221.42/32.89 thf(func_def_89, type, disjoint: $i > $i > $o).
% 221.42/32.89 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 221.42/32.89 thf(func_def_114, type, binunion: $i > $i > $i).
% 221.42/32.89 thf(func_def_122, type, binintersect: $i > $i > $i).
% 221.42/32.89 thf(func_def_135, type, regular: $i > $o).
% 221.42/32.89 thf(func_def_136, type, setminus: $i > $i > $i).
% 221.42/32.89 thf(func_def_147, type, symdiff: $i > $i > $i).
% 221.42/32.89 thf(func_def_153, type, iskpair: $i > $o).
% 221.42/32.89 thf(func_def_158, type, kpair: $i > $i > $i).
% 221.42/32.89 thf(func_def_160, type, cartprod: $i > $i > $i).
% 221.42/32.89 thf(func_def_192, type, sP1: $o > $o).
% 221.42/32.89 thf(func_def_193, type, sP2: $o > $o).
% 221.42/32.89 thf(func_def_196, type, sK5: ($i > $i > $o) > $i > $i).
% 221.42/32.89 thf(func_def_197, type, sK6: ($i > $i > $o) > $i > $i).
% 221.42/32.89 thf(func_def_198, type, sK7: $i > $i > $o).
% 221.42/32.89 thf(func_def_200, type, sK9: $i > $i).
% 221.42/32.89 thf(func_def_204, type, sK13: $i > ($i > $o) > $i).
% 221.42/32.89 thf(func_def_206, type, sK15: $i > $o).
% 221.42/32.89 thf(func_def_208, type, sK17: $i > $i).
% 221.42/32.89 thf(func_def_212, type, sK21: $i > $i).
% 221.42/32.89 thf(func_def_213, type, sK22: $i > $i > $i).
% 221.42/32.89 thf(func_def_214, type, sK23: $i > $i > $i).
% 221.42/32.89 thf(func_def_215, type, sK24: $i > $i > $i).
% 221.42/32.89 thf(func_def_216, type, sK25: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_218, type, sK27: $i > $i).
% 221.42/32.89 thf(func_def_219, type, sK28: $i > $i).
% 221.42/32.89 thf(func_def_220, type, sK29: $i > $i).
% 221.42/32.89 thf(func_def_221, type, sK30: $i > $i).
% 221.42/32.89 thf(func_def_222, type, sK31: $i > $i).
% 221.42/32.89 thf(func_def_223, type, sK32: $i > $i).
% 221.42/32.89 thf(func_def_224, type, sK33: $i > $i).
% 221.42/32.89 thf(func_def_225, type, sK34: $i > $i).
% 221.42/32.89 thf(func_def_226, type, sK35: $i > $i).
% 221.42/32.89 thf(func_def_227, type, sK36: $i > $i).
% 221.42/32.89 thf(func_def_228, type, sK37: $i > $i).
% 221.42/32.89 thf(func_def_229, type, sK38: $i > $i).
% 221.42/32.89 thf(func_def_230, type, sK39: $i > $i).
% 221.42/32.89 thf(func_def_231, type, sK40: $i > $i).
% 221.42/32.89 thf(func_def_232, type, sK41: $i > $i).
% 221.42/32.89 thf(func_def_233, type, sK42: $i > $i).
% 221.42/32.89 thf(func_def_234, type, sK43: $i > $i).
% 221.42/32.89 thf(func_def_235, type, sK44: $i > $i).
% 221.42/32.89 thf(func_def_236, type, sK45: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_237, type, sK46: $i > $i > $i).
% 221.42/32.89 thf(func_def_238, type, sK47: $i > $i > $i).
% 221.42/32.89 thf(func_def_239, type, sK48: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_240, type, sK49: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_241, type, sK50: $i > $i > $i).
% 221.42/32.89 thf(func_def_242, type, sK51: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_243, type, sK52: $i > $i > $i).
% 221.42/32.89 thf(func_def_244, type, sK53: $i > $i > $i).
% 221.42/32.89 thf(func_def_245, type, sK54: $i > $i).
% 221.42/32.89 thf(func_def_246, type, sK55: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_247, type, sK56: $i > $i > $i).
% 221.42/32.89 thf(func_def_248, type, sK57: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_249, type, sK58: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_250, type, sK59: $i > $i > $i).
% 221.42/32.89 thf(func_def_251, type, sK60: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_252, type, sK61: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_253, type, sK62: $i > $i > $i).
% 221.42/32.89 thf(func_def_254, type, sK63: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_255, type, sK64: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_256, type, sK65: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_257, type, sK66: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_258, type, sK67: $i > $i > $i).
% 221.42/32.89 thf(func_def_259, type, sK68: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_260, type, sK69: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_261, type, sK70: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_262, type, sK71: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_263, type, sK72: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_264, type, sK73: $i > $i > $i).
% 221.42/32.89 thf(func_def_265, type, sK74: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_266, type, sK75: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_267, type, sK76: $i > $i > $i).
% 221.42/32.89 thf(func_def_268, type, sK77: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_269, type, sK78: $i > $i).
% 221.42/32.89 thf(func_def_270, type, sK79: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_271, type, sK80: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_272, type, sK81: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_273, type, sK82: $i > $i > $i).
% 221.42/32.89 thf(func_def_274, type, sK83: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_275, type, sK84: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_276, type, sK85: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_277, type, sK86: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_278, type, sK87: $i > $i).
% 221.42/32.89 thf(func_def_279, type, sK88: $i > $i > $i).
% 221.42/32.89 thf(func_def_280, type, sK89: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_281, type, sK90: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_282, type, sK91: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_283, type, sK92: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_284, type, sK93: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_285, type, sK94: $i > $i > $i).
% 221.42/32.89 thf(func_def_286, type, sK95: $i > $i > $i).
% 221.42/32.89 thf(func_def_287, type, sK96: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_288, type, sK97: $i > $i > $i).
% 221.42/32.89 thf(func_def_289, type, sK98: $i > $i).
% 221.42/32.89 thf(func_def_290, type, sK99: $i > $i).
% 221.42/32.89 thf(func_def_291, type, sK100: $i > $i).
% 221.42/32.89 thf(func_def_292, type, sK101: $i > $i).
% 221.42/32.89 thf(func_def_293, type, sK102: $i > $i).
% 221.42/32.89 thf(func_def_294, type, sK103: $i > $i).
% 221.42/32.89 thf(func_def_295, type, sK104: $i > $i).
% 221.42/32.89 thf(func_def_296, type, sK105: $i > $i).
% 221.42/32.89 thf(func_def_297, type, sK106: $i > $i).
% 221.42/32.89 thf(func_def_298, type, sK107: $i > $i).
% 221.42/32.89 thf(func_def_299, type, sK108: $i > $i > $i).
% 221.42/32.89 thf(func_def_300, type, sK109: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_301, type, sK110: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_302, type, sK111: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_303, type, sK112: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_304, type, sK113: $i > $i).
% 221.42/32.89 thf(func_def_305, type, sK114: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_306, type, sK115: $i > $i > $i).
% 221.42/32.89 thf(func_def_307, type, sK116: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_308, type, sK117: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_309, type, sK118: $i > $i > $i).
% 221.42/32.89 thf(func_def_310, type, sK119: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_311, type, sK120: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_312, type, sK121: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_313, type, sK122: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_314, type, sK123: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_315, type, sK124: $i > $i > $i).
% 221.42/32.89 thf(func_def_316, type, sK125: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_317, type, sK126: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_318, type, sK127: $i > $i).
% 221.42/32.89 thf(func_def_319, type, sK128: $i > $i > $i).
% 221.42/32.89 thf(func_def_320, type, sK129: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_321, type, sK130: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_322, type, sK131: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_323, type, sK132: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_324, type, sK133: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_325, type, sK134: $i > $i > $i).
% 221.42/32.89 thf(func_def_326, type, sK135: $i > $i > $i).
% 221.42/32.89 thf(func_def_327, type, sK136: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_328, type, sK137: $i > $i > $i).
% 221.42/32.89 thf(func_def_329, type, sK138: $i > $i).
% 221.42/32.89 thf(func_def_330, type, sK139: $i > $i > $i).
% 221.42/32.89 thf(func_def_331, type, sK140: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_332, type, sK141: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_333, type, sK142: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_334, type, sK143: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_335, type, sK144: $i > $i).
% 221.42/32.89 thf(func_def_336, type, sK145: $i > $i).
% 221.42/32.89 thf(func_def_337, type, sK146: $i > $i).
% 221.42/32.89 thf(func_def_338, type, sK147: $i > $i).
% 221.42/32.89 thf(func_def_339, type, sK148: $i > $i > $i).
% 221.42/32.89 thf(func_def_340, type, sK149: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_341, type, sK150: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_342, type, sK151: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_343, type, sK152: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_344, type, sK153: $i > $i > $i).
% 221.42/32.89 thf(func_def_345, type, sK154: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_346, type, sK155: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_347, type, sK156: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_348, type, sK157: $i > $i).
% 221.42/32.89 thf(func_def_349, type, sK158: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_350, type, sK159: $i > $i > $i).
% 221.42/32.89 thf(func_def_351, type, sK160: $i > $i > $i).
% 221.42/32.89 thf(func_def_352, type, sK161: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_353, type, sK162: $i > $i > $i).
% 221.42/32.89 thf(func_def_354, type, sK163: $i > $i).
% 221.42/32.89 thf(func_def_355, type, sK164: $i > $i).
% 221.42/32.89 thf(func_def_356, type, sK165: $i > $i).
% 221.42/32.89 thf(func_def_357, type, sK166: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_358, type, sK167: $i > $i > $i).
% 221.42/32.89 thf(func_def_359, type, sK168: $i > $i > $i).
% 221.42/32.89 thf(func_def_360, type, sK169: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_361, type, sK170: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_362, type, sK171: $i > $i > $i).
% 221.42/32.89 thf(func_def_363, type, sK172: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_364, type, sK173: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_365, type, sK174: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_366, type, sK175: $i > $i).
% 221.42/32.89 thf(func_def_367, type, sK176: $i > $i).
% 221.42/32.89 thf(func_def_368, type, sK177: $i > $i > $i).
% 221.42/32.89 thf(func_def_369, type, sK178: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_370, type, sK179: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_371, type, sK180: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_372, type, sK181: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_373, type, sK182: $i > $i).
% 221.42/32.89 thf(func_def_374, type, sK183: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_375, type, sK184: $i > $i > $i).
% 221.42/32.89 thf(func_def_376, type, sK185: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_377, type, sK186: $i > $i > $i).
% 221.42/32.89 thf(func_def_378, type, sK187: $i > $i > $i).
% 221.42/32.89 thf(func_def_379, type, sK188: $i > $i).
% 221.42/32.89 thf(func_def_380, type, sK189: $i > $i).
% 221.42/32.89 thf(func_def_381, type, sK190: $i > $i > $i).
% 221.42/32.89 thf(func_def_382, type, sK191: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_383, type, sK192: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_384, type, sK193: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_385, type, sK194: $i > $i).
% 221.42/32.89 thf(func_def_386, type, sK195: $i > $i > $i).
% 221.42/32.89 thf(func_def_387, type, sK196: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_388, type, sK197: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_389, type, sK198: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_390, type, sK199: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_391, type, sK200: $i > $i).
% 221.42/32.89 thf(func_def_392, type, sK201: $i > $i).
% 221.42/32.89 thf(func_def_393, type, sK202: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_394, type, sK203: $i > $i > $i).
% 221.42/32.89 thf(func_def_395, type, sK204: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_396, type, sK205: $i > $i > $i).
% 221.42/32.89 thf(func_def_397, type, sK206: $i > $i > $i).
% 221.42/32.89 thf(func_def_398, type, sK207: $i > $i > $i).
% 221.42/32.89 thf(func_def_399, type, sK208: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_400, type, sK209: $i > $i > $i).
% 221.42/32.89 thf(func_def_401, type, sK210: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_402, type, sK211: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_403, type, sK212: $i > $i).
% 221.42/32.89 thf(func_def_404, type, sK213: $i > $i).
% 221.42/32.89 thf(func_def_405, type, sK214: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_406, type, sK215: $i > $i > $i).
% 221.42/32.89 thf(func_def_407, type, sK216: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_408, type, sK217: $i > $i > $i).
% 221.42/32.89 thf(func_def_409, type, sK218: $i > $i > $i).
% 221.42/32.89 thf(func_def_410, type, sK219: $i > $i > $i).
% 221.42/32.89 thf(func_def_411, type, sK220: $i > $i).
% 221.42/32.89 thf(func_def_412, type, sK221: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_413, type, sK222: $i > $i > $i).
% 221.42/32.89 thf(func_def_414, type, sK223: $i > $i > $i).
% 221.42/32.89 thf(func_def_415, type, sK224: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_416, type, sK225: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_417, type, sK226: $i > $i > $i).
% 221.42/32.89 thf(func_def_418, type, sK227: $i > $i).
% 221.42/32.89 thf(func_def_419, type, sK228: $i > $i).
% 221.42/32.89 thf(func_def_420, type, sK229: $i > $i).
% 221.42/32.89 thf(func_def_421, type, sK230: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_422, type, sK231: $i > $i > $i).
% 221.42/32.89 thf(func_def_423, type, sK232: $i > $i > $i).
% 221.42/32.89 thf(func_def_424, type, sK233: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_425, type, sK234: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_426, type, sK235: $i > $i).
% 221.42/32.89 thf(func_def_427, type, sK236: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_428, type, sK237: $i > $i > $i).
% 221.42/32.89 thf(func_def_429, type, sK238: $i > $i > $i).
% 221.42/32.89 thf(func_def_430, type, sK239: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_431, type, sK240: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_432, type, sK241: $i > $i).
% 221.42/32.89 thf(func_def_433, type, sK242: $i > $i).
% 221.42/32.89 thf(func_def_434, type, sK243: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_435, type, sK244: $i > $i > $i).
% 221.42/32.89 thf(func_def_436, type, sK245: $i > $i > $i).
% 221.42/32.89 thf(func_def_437, type, sK246: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_438, type, sK247: $i > $i > $i).
% 221.42/32.89 thf(func_def_439, type, sK248: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_440, type, sK249: $i > $i > $i).
% 221.42/32.89 thf(func_def_441, type, sK250: $i > $i > $i).
% 221.42/32.89 thf(func_def_442, type, sK251: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_443, type, sK252: $i > $i).
% 221.42/32.89 thf(func_def_444, type, sK253: $i > $i).
% 221.42/32.89 thf(func_def_445, type, sK254: $i > $i).
% 221.42/32.89 thf(func_def_446, type, sK255: $i > $i).
% 221.42/32.89 thf(func_def_447, type, sK256: $i > $i > $i).
% 221.42/32.89 thf(func_def_448, type, sK257: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_449, type, sK258: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_450, type, sK259: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_451, type, sK260: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_452, type, sK261: $i > $i).
% 221.42/32.89 thf(func_def_453, type, sK262: $i > $i).
% 221.42/32.89 thf(func_def_454, type, sK263: $i > $i > $i).
% 221.42/32.89 thf(func_def_455, type, sK264: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_456, type, sK265: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_457, type, sK266: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_458, type, sK267: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_459, type, sK268: $i > $i).
% 221.42/32.89 thf(func_def_460, type, sK269: $i > $i > $i).
% 221.42/32.89 thf(func_def_461, type, sK270: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_462, type, sK271: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_463, type, sK272: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_464, type, sK273: $i > $i).
% 221.42/32.89 thf(func_def_465, type, sK274: $i > $i).
% 221.42/32.89 thf(func_def_466, type, sK275: $i > $i).
% 221.42/32.89 thf(func_def_467, type, sK276: $i > $i).
% 221.42/32.89 thf(func_def_468, type, sK277: $i > $i).
% 221.42/32.89 thf(func_def_469, type, sK278: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_470, type, sK279: $i > $i > $i).
% 221.42/32.89 thf(func_def_471, type, sK280: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_472, type, sK281: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_473, type, sK282: $i > $i).
% 221.42/32.89 thf(func_def_474, type, sK283: $i > $i > $i).
% 221.42/32.89 thf(func_def_475, type, sK284: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_476, type, sK285: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_477, type, sK286: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_478, type, sK287: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_479, type, sK288: $i > $i > $i).
% 221.42/32.89 thf(func_def_480, type, sK289: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_481, type, sK290: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_482, type, sK291: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_483, type, sK292: $i > $i).
% 221.42/32.89 thf(func_def_484, type, sK293: $i > $i).
% 221.42/32.89 thf(func_def_485, type, sK294: $i > $i).
% 221.42/32.89 thf(func_def_486, type, sK295: $i > $i).
% 221.42/32.89 thf(func_def_487, type, sK296: $i > $i).
% 221.42/32.89 thf(func_def_488, type, sK297: $i > $i).
% 221.42/32.89 thf(func_def_489, type, sK298: $i > $i).
% 221.42/32.89 thf(func_def_490, type, sK299: $i > $i).
% 221.42/32.89 thf(func_def_491, type, sK300: $i > $i).
% 221.42/32.89 thf(func_def_492, type, sK301: $i > $i).
% 221.42/32.89 thf(func_def_493, type, sK302: $i > $i).
% 221.42/32.89 thf(func_def_494, type, sK303: $i > $i).
% 221.42/32.89 thf(func_def_495, type, sK304: $i > $i).
% 221.42/32.89 thf(func_def_496, type, sK305: $i > $i).
% 221.42/32.89 thf(func_def_497, type, sK306: $i > $i).
% 221.42/32.89 thf(func_def_498, type, sK307: $i > $i).
% 221.42/32.89 thf(func_def_499, type, sK308: $i > $i).
% 221.42/32.89 thf(func_def_500, type, sK309: $i > $i).
% 221.42/32.89 thf(func_def_501, type, sK310: $i > $i).
% 221.42/32.89 thf(func_def_502, type, sK311: $i > $i).
% 221.42/32.89 thf(func_def_503, type, sK312: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_504, type, sK313: $i > $i > $i).
% 221.42/32.89 thf(func_def_505, type, sK314: $i > $i > $i).
% 221.42/32.89 thf(func_def_506, type, sK315: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_507, type, sK316: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_508, type, sK317: $i > $i > $i).
% 221.42/32.89 thf(func_def_509, type, sK318: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_510, type, sK319: $i > $i > $i).
% 221.42/32.89 thf(func_def_511, type, sK320: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_512, type, sK321: $i > $i > $i).
% 221.42/32.89 thf(func_def_513, type, sK322: $i > $i > $i).
% 221.42/32.89 thf(func_def_514, type, sK323: $i > $i > $i).
% 221.42/32.89 thf(func_def_515, type, sK324: $i > $i).
% 221.42/32.89 thf(func_def_516, type, sK325: $i > $i > $i).
% 221.42/32.89 thf(func_def_517, type, sK326: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_518, type, sK327: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_519, type, sK328: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_520, type, sK329: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_521, type, sK330: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_522, type, sK331: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_523, type, sK332: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_524, type, sK333: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_525, type, sK334: $i > $i > $i).
% 221.42/32.89 thf(func_def_526, type, sK335: $i > $i).
% 221.42/32.89 thf(func_def_527, type, sK336: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_528, type, sK337: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_529, type, sK338: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_530, type, sK339: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_531, type, sK340: $i > $i).
% 221.42/32.89 thf(func_def_532, type, sK341: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_533, type, sK342: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_534, type, sK343: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_535, type, sK344: $i > $i).
% 221.42/32.89 thf(func_def_536, type, sK345: $i > $i).
% 221.42/32.89 thf(func_def_537, type, sK346: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_538, type, sK347: $i > $i > $i).
% 221.42/32.89 thf(func_def_539, type, sK348: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_540, type, sK349: $i > $i).
% 221.42/32.89 thf(func_def_541, type, sK350: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_542, type, sK351: $i > $i > $i).
% 221.42/32.89 thf(func_def_543, type, sK352: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_544, type, sK353: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_545, type, sK354: $i > $i > $i).
% 221.42/32.89 thf(func_def_546, type, sK355: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_547, type, sK356: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_548, type, sK357: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_549, type, sK358: $i > $i > $i).
% 221.42/32.89 thf(func_def_550, type, sK359: $i > $i > $i).
% 221.42/32.89 thf(func_def_551, type, sK360: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_552, type, sK361: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_553, type, sK362: $i > $i > $i).
% 221.42/32.89 thf(func_def_554, type, sK363: $i > $i).
% 221.42/32.89 thf(func_def_555, type, sK364: $i > $i > $i).
% 221.42/32.89 thf(func_def_556, type, sK365: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_557, type, sK366: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_558, type, sK367: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_559, type, sK368: $i > $i > $i).
% 221.42/32.89 thf(func_def_560, type, sK369: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_561, type, sK370: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_562, type, sK371: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_563, type, sK372: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_564, type, sK373: $i > $i).
% 221.42/32.89 thf(func_def_565, type, sK374: $i > $i).
% 221.42/32.89 thf(func_def_566, type, sK375: $i > $i).
% 221.42/32.89 thf(func_def_567, type, sK376: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_568, type, sK377: $i > $i > $i).
% 221.42/32.89 thf(func_def_569, type, sK378: $i > $i > $i).
% 221.42/32.89 thf(func_def_570, type, sK379: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_571, type, sK380: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_572, type, sK381: $i > $i > $i).
% 221.42/32.89 thf(func_def_573, type, sK382: $i > $i).
% 221.42/32.89 thf(func_def_574, type, sK383: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_575, type, sK384: $i > $i > $i).
% 221.42/32.89 thf(func_def_576, type, sK385: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_577, type, sK386: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_578, type, sK387: $i > $i).
% 221.42/32.89 thf(func_def_579, type, sK388: $i > $i).
% 221.42/32.89 thf(func_def_580, type, sK389: $i > $i).
% 221.42/32.89 thf(func_def_581, type, sK390: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_582, type, sK391: $i > $i > $i).
% 221.42/32.89 thf(func_def_583, type, sK392: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_584, type, sK393: $i > $i > $i).
% 221.42/32.89 thf(func_def_585, type, sK394: $i > $i > $i).
% 221.42/32.89 thf(func_def_586, type, sK395: $i > $i > $i).
% 221.42/32.89 thf(func_def_587, type, sK396: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_588, type, sK397: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_589, type, sK398: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_590, type, sK399: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_591, type, sK400: $i > $i).
% 221.42/32.89 thf(func_def_592, type, sK401: $i > $i).
% 221.42/32.89 thf(func_def_593, type, sK402: $i > $i > $i).
% 221.42/32.89 thf(func_def_594, type, sK403: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_595, type, sK404: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_596, type, sK405: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_597, type, sK406: $i > $i).
% 221.42/32.89 thf(func_def_598, type, sK407: $i > $i > $i).
% 221.42/32.89 thf(func_def_599, type, sK408: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_600, type, sK409: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_601, type, sK410: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_602, type, sK411: $i > $i).
% 221.42/32.89 thf(func_def_603, type, sK412: $i > $i).
% 221.42/32.89 thf(func_def_604, type, sK413: $i > $i).
% 221.42/32.89 thf(func_def_605, type, sK414: $i > $i).
% 221.42/32.89 thf(func_def_606, type, sK415: $i > $i).
% 221.42/32.89 thf(func_def_607, type, sK416: $i > $i).
% 221.42/32.89 thf(func_def_608, type, sK417: $i > $i).
% 221.42/32.89 thf(func_def_609, type, sK418: $i > $i).
% 221.42/32.89 thf(func_def_610, type, sK419: $i > $i).
% 221.42/32.89 thf(func_def_611, type, sK420: $i > $i).
% 221.42/32.89 thf(func_def_612, type, sK421: $i > $i).
% 221.42/32.89 thf(func_def_613, type, sK422: $i > $i).
% 221.42/32.89 thf(func_def_614, type, sK423: $i > $i).
% 221.42/32.89 thf(func_def_615, type, sK424: $i > $i).
% 221.42/32.89 thf(func_def_616, type, sK425: $i > $i).
% 221.42/32.89 thf(func_def_617, type, sK426: $i > $i).
% 221.42/32.89 thf(func_def_618, type, sK427: $i > $i).
% 221.42/32.89 thf(func_def_619, type, sK428: $i > $i).
% 221.42/32.89 thf(func_def_620, type, sK429: $i > $i).
% 221.42/32.89 thf(func_def_621, type, sK430: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_622, type, sK431: $i > $i > $i).
% 221.42/32.89 thf(func_def_623, type, sK432: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_624, type, sK433: $i > $i > $i).
% 221.42/32.89 thf(func_def_625, type, sK434: $i > $i > $i).
% 221.42/32.89 thf(func_def_626, type, sK435: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_627, type, sK436: $i > $i > $i).
% 221.42/32.89 thf(func_def_628, type, sK437: $i > $i > $i).
% 221.42/32.89 thf(func_def_629, type, sK438: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_630, type, sK439: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_631, type, sK440: $i > $i).
% 221.42/32.89 thf(func_def_632, type, sK441: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_633, type, sK442: $i > $i > $i).
% 221.42/32.89 thf(func_def_634, type, sK443: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_635, type, sK444: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_636, type, sK445: $i > $i > $i).
% 221.42/32.89 thf(func_def_637, type, sK446: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_638, type, sK447: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_639, type, sK448: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_640, type, sK449: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_641, type, sK450: $i > $i).
% 221.42/32.89 thf(func_def_642, type, sK451: $i > $i > $i).
% 221.42/32.89 thf(func_def_643, type, sK452: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_644, type, sK453: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_645, type, sK454: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_646, type, sK455: $i > $i > $i).
% 221.42/32.89 thf(func_def_647, type, sK456: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_648, type, sK457: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_649, type, sK458: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_650, type, sK459: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_651, type, sK460: $i > $i > $i).
% 221.42/32.89 thf(func_def_652, type, sK461: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_653, type, sK462: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_654, type, sK463: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_655, type, sK464: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_656, type, sK465: $i > $i > $i).
% 221.42/32.89 thf(func_def_657, type, sK466: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_658, type, sK467: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_659, type, sK468: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_660, type, sK469: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_661, type, sK470: $i > $i > $i).
% 221.42/32.89 thf(func_def_662, type, sK471: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_663, type, sK472: $i > $i).
% 221.42/32.89 thf(func_def_664, type, sK473: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_665, type, sK474: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_666, type, sK475: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_667, type, sK476: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_668, type, sK477: $i > $i).
% 221.42/32.89 thf(func_def_669, type, sK478: $i > $i > $i).
% 221.42/32.89 thf(func_def_670, type, sK479: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_671, type, sK480: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_672, type, sK481: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_673, type, sK482: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_674, type, sK483: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_675, type, sK484: $i > $i > $i).
% 221.42/32.89 thf(func_def_676, type, sK485: $i > $i > $i).
% 221.42/32.89 thf(func_def_677, type, sK486: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_678, type, sK487: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_682, type, sK491: $i > $o).
% 221.42/32.89 thf(func_def_690, type, sK499: ($i > $o) > $i > $i).
% 221.42/32.89 thf(func_def_691, type, sK500: $i > $o).
% 221.42/32.89 thf(func_def_699, type, sK508: $i > $o).
% 221.42/32.89 thf(func_def_704, type, sK513: $i > $i).
% 221.42/32.89 thf(func_def_707, type, sK516: $i > $i).
% 221.42/32.89 thf(func_def_712, type, sK521: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_713, type, sK522: $i > $i > $i > $i).
% 221.42/32.89 thf(func_def_725, type, sK534: ($i > $o) > $i).
% 221.42/32.89 thf(func_def_726, type, sK535: $i > $o).
% 221.42/32.89 thf(func_def_740, type, sK549: $o > $i > $i > $i).
% 221.42/32.89 thf(func_def_755, type, sK564: $i > $o).
% 221.42/32.89 thf(func_def_781, type, sK590: $i > $i).
% 221.42/32.89 thf(func_def_787, type, sK596: ($i > $o) > $i > $i).
% 221.42/32.89 thf(func_def_788, type, sK597: $i > $o).
% 221.42/32.89 thf(func_def_801, type, sK610: $i > $o).
% 221.42/32.89 thf(func_def_808, type, sK617: $i > $i).
% 221.42/32.89 thf(func_def_813, type, sK622: ($i > $o) > $i).
% 221.42/32.89 thf(func_def_814, type, sK623: ($i > $o) > $i).
% 221.42/32.89 thf(func_def_815, type, sK624: $i > $o).
% 221.42/32.89 thf(func_def_838, type, sK647: $i > ($i > $o) > $i).
% 221.42/32.89 thf(func_def_840, type, sK649: $i > $o).
% 221.42/32.89 thf(func_def_842, type, sK651: $i > $i > $i).
% 221.42/32.89 thf(func_def_855, type, sK664: $i > $o).
% 221.42/32.89 thf(func_def_857, type, sK666: $i > $i > $i).
% 221.42/32.89 thf(func_def_858, type, sK667: $i > $i > $i).
% 221.42/32.89 thf(func_def_868, type, sK677: ($i > $o) > ($i > $o) > $i).
% 221.42/32.89 thf(func_def_869, type, sK678: ($i > $o) > ($i > $o) > $i).
% 221.42/32.89 thf(func_def_870, type, sK679: $i > $o).
% 221.42/32.89 thf(func_def_871, type, sK680: $i > $o).
% 221.42/32.89 thf(func_def_872, type, sK681: $i > $o).
% 221.42/32.89 thf(func_def_880, type, sK689: ($i > $o) > ($i > $o) > $i).
% 221.42/32.89 thf(func_def_881, type, sK690: ($i > $o) > ($i > $o) > $i).
% 221.42/32.89 thf(func_def_882, type, sK691: $i > $o).
% 221.42/32.89 thf(func_def_883, type, sK692: $i > $o).
% 221.42/32.89 thf(func_def_896, type, sK705: $i > $i > $i).
% 221.42/32.89 thf(func_def_899, type, sK708: ($i > $o) > $i > $i).
% 221.42/32.89 thf(func_def_900, type, sK709: $i > $o).
% 221.42/32.89 thf(func_def_906, type, sK715: $i > $i).
% 221.42/32.89 thf(func_def_910, type, sK719: $i > $o).
% 221.42/32.89 thf(func_def_913, type, sK722: ($i > $o) > $i > $i).
% 221.42/32.89 thf(func_def_914, type, sK723: $i > $o).
% 221.42/32.89 thf(func_def_920, type, sK729: $i > $o).
% 221.42/32.89 thf(func_def_922, type, sK731: $i > ($i > $o) > $i).
% 221.42/32.89 thf(func_def_924, type, sK733: $i > $o).
% 221.42/32.89 thf(func_def_928, type, sK737: $i > $i > $i).
% 221.42/32.89 thf(func_def_937, type, sK746: $i > $o).
% 221.42/32.89 thf(func_def_946, type, sK755: $i > $o).
% 221.42/32.89 thf(func_def_956, type, sK765: ($i > $o) > $i).
% 221.42/32.89 thf(func_def_957, type, sK766: $i > $o).
% 221.42/32.89 thf(func_def_958, type, sK767: $i > $i).
% 221.42/32.89 thf(func_def_964, type, sK773: $i > $o).
% 221.42/32.89 thf(func_def_974, type, sK783: $i > $i).
% 221.42/32.89 thf(func_def_976, type, sK785: ($i > $o) > $i > ($i > $o) > $i > $i).
% 221.42/32.89 thf(func_def_977, type, sK786: $i > $i > ($i > $o) > ($i > $o) > $i).
% 221.42/32.89 thf(func_def_980, type, sK789: $i > $o).
% 221.42/32.89 thf(func_def_981, type, sK790: $i > $o).
% 221.42/32.89 thf(func_def_984, type, sK793: $i > $o).
% 221.42/32.89 thf(func_def_995, type, sK804: ($i > $o) > $i > $i).
% 221.42/32.89 thf(func_def_996, type, sK805: $i > $o).
% 221.42/32.89 thf(func_def_1006, type, sK815: $i > $i > $i).
% 221.42/32.89 thf(func_def_1020, type, sK829: $i > $i > $i).
% 221.42/32.89 thf(func_def_1023, type, sK832: ($i > $o) > $i).
% 221.42/32.89 thf(func_def_1024, type, sK833: $i > $o).
% 221.42/32.89 thf(func_def_1025, type, sK834: $i > $i).
% 221.42/32.89 thf(func_def_1035, type, sK844: $i > $i > $i).
% 221.42/32.89 thf(func_def_1049, type, ph858: !>[X0: $tType]:(X0)).
% 221.42/32.89 thf(func_def_1050, type, sK859: ($i > $o) > $i > $i).
% 221.42/32.89 thf(func_def_1051, type, sK860: ($i > $o) > $i).
% 221.42/32.89 thf(func_def_1052, type, sK861: $i > $i).
% 221.42/32.89 thf(func_def_1053, type, sK862: $i > $i).
% 221.42/32.89 thf(func_def_1054, type, sK863: $i > $i > $i).
% 221.42/32.89 thf(func_def_1055, type, sK864: $i > $i > $i).
% 221.42/32.89 thf(func_def_1056, type, sK865: $i > $i > $i).
% 221.42/32.89 thf(func_def_1057, type, sK866: $i > $i > $i).
% 221.42/32.89 thf(func_def_1058, type, sK867: $i > $i > $i).
% 221.42/32.89 thf(func_def_1059, type, sK868: $i > $i > $i).
% 221.42/32.89 thf(func_def_1060, type, sK869: $i > $i > $i).
% 221.42/32.89 thf(func_def_1061, type, sK870: $i > $i > $i).
% 221.42/32.89 thf(func_def_1062, type, sK871: $i > $i > $i).
% 221.42/32.89 thf(func_def_1063, type, sK872: $i > $i > $i).
% 221.42/32.89 thf(func_def_1064, type, sK873: $i > $i > $i).
% 221.42/32.89 thf(func_def_1065, type, sK874: $i > $i > $i).
% 221.42/32.89 thf(func_def_1066, type, sK875: $i > $i > $i).
% 221.42/32.89 thf(func_def_1067, type, sK876: $i > $i > $i).
% 221.42/32.89 thf(func_def_1068, type, sK877: $i > $i > $i).
% 221.42/32.89 thf(func_def_1069, type, sK878: $i > $i > $i).
% 221.42/32.89 thf(func_def_1070, type, sK879: $i > $i).
% 221.42/32.89 thf(func_def_1071, type, sK880: $i > $i).
% 221.42/32.89 thf(func_def_1072, type, sK881: $i > $i > $i).
% 221.42/32.89 thf(func_def_1073, type, sK882: $i > $i > $i).
% 221.42/32.89 thf(func_def_1074, type, sK883: $i > $i > $i).
% 221.42/32.89 thf(func_def_1075, type, sK884: $i > $i > $i).
% 221.42/32.89 thf(func_def_1076, type, sK885: $i > $i).
% 221.42/32.89 thf(func_def_1077, type, sK886: $i > $i).
% 221.42/32.89 thf(func_def_1078, type, sK887: $i > $i > $i).
% 221.42/32.89 thf(func_def_1079, type, sK888: $i > $i > $i).
% 221.42/32.89 thf(func_def_1080, type, sK889: $i > $i > $i).
% 221.42/32.89 thf(func_def_1081, type, sK890: $i > $i > $i).
% 221.42/32.89 thf(func_def_1082, type, sK891: $i > $i > $i).
% 221.42/32.89 thf(func_def_1083, type, sK892: $i > $i > $i).
% 221.42/32.89 thf(func_def_1084, type, sK893: $i > $i > $i).
% 221.42/32.89 thf(func_def_1085, type, sK894: $i > $i > $i).
% 221.42/32.89 thf(func_def_1086, type, sK895: $i > $i > $i).
% 221.42/32.89 thf(func_def_1087, type, sK896: $i > $i).
% 221.42/32.89 thf(func_def_1088, type, sK897: $i > $i).
% 221.42/32.89 thf(func_def_1089, type, sK898: $i > $i > $i).
% 221.42/32.89 thf(func_def_1090, type, sK899: $i > $i > $i).
% 221.42/32.89 thf(func_def_1091, type, sK900: $i > $i > $i).
% 221.42/32.89 thf(func_def_1092, type, sK901: $i > $i).
% 221.42/32.89 thf(func_def_1093, type, sK902: $i > $i > $i).
% 221.42/32.89 thf(func_def_1094, type, sK903: $i > $i > $i).
% 221.42/32.89 thf(func_def_1095, type, sK904: $i > $i > $i).
% 221.42/32.89 thf(func_def_1096, type, sK905: $i > $i).
% 221.42/32.89 thf(func_def_1097, type, sK906: $i > $i).
% 221.42/32.89 thf(func_def_1098, type, sK907: $i > $i).
% 221.42/32.89 thf(func_def_1099, type, sK908: $i > $i > $i).
% 221.42/32.89 thf(func_def_1100, type, sK909: $i > $i).
% 221.42/32.89 thf(func_def_1101, type, sK910: $i > $i > $i).
% 221.42/32.89 thf(func_def_1102, type, sK911: $i > $i > $i).
% 221.42/32.89 thf(func_def_1103, type, sK912: $i > $i > $i).
% 221.42/32.89 thf(func_def_1105, type, sK914: $i > $i > $i).
% 221.42/32.89 thf(func_def_1106, type, sK915: $i > $i > $i).
% 221.42/32.89 thf(func_def_1107, type, sK916: $i > $i > $i).
% 221.42/32.89 thf(func_def_1108, type, sK917: $i > $i > $i).
% 221.42/32.89 thf(func_def_1110, type, sK919: $i > $i > $i).
% 221.42/32.89 thf(func_def_1111, type, sK920: $i > $i > $i).
% 221.42/32.89 thf(func_def_1113, type, sK922: $i > $i > $i).
% 221.42/32.89 thf(func_def_1114, type, sK923: $i > $i > $i).
% 221.42/32.89 thf(func_def_1115, type, sK924: $i > $i > $i).
% 221.42/32.89 thf(f40534,plain,(
% 221.42/32.89 $false),
% 221.42/32.89 inference(avatar_sat_refutation,[status(thm)],[f6778,f6862,f7048,f7130,f7558,f7580,f7736,f8045,f8526,f8596,f8656,f8683,f8891,f8928,f8929,f9061,f9236,f12653,f12768,f13389,f13468,f13776,f15113,f15474,f15634,f40357,f40439,f40527])).
% 221.42/32.89 thf(f40527,plain,(
% 221.42/32.89 (notinsingleton != $false) | (notinsingleton != $true) | (omegaSAx != $true) | (omegaSAx = $false)),
% 221.42/32.89 introduced(definition,[],[theory_tautology_sat_conflict])).
% 221.42/32.89 thf(f40439,plain,(
% 221.42/32.89 (powersetAx != $false) | (powersetAx != $true) | (omegaSAx != $true) | (omegaSAx = $false)),
% 221.42/32.89 introduced(definition,[],[theory_tautology_sat_conflict])).
% 221.42/32.89 thf(f40357,plain,(
% 221.42/32.89 ~spl3_64 | ~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544),
% 221.42/32.89 inference(avatar_contradiction_clause,[status(thm)],[f40356])).
% 221.42/32.89 thf(f40356,plain,(
% 221.42/32.89 $false | (~spl3_64 | ~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(trivial_inequality_removal,[status(thm)],[f40355])).
% 221.42/32.89 thf(f40355,plain,(
% 221.42/32.89 ($false = $true) | (~spl3_64 | ~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(forward_demodulation,[status(thm)],[f40328,f34104])).
% 221.42/32.89 thf(f34104,plain,(
% 221.42/32.89 ((in @ sK913 @ sK0) = $false) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f34103])).
% 221.42/32.89 thf(f34103,plain,(
% 221.42/32.89 ($false = ((in @ sK913 @ (setunion @ (setadjoin @ sK0 @ emptyset))) => (in @ sK913 @ sK0))) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f34102])).
% 221.42/32.89 thf(f34102,plain,(
% 221.42/32.89 ($false = ((^[Y0 : $i]: ((in @ Y0 @ (setunion @ (setadjoin @ sK0 @ emptyset))) => (in @ Y0 @ sK0))) @ sK913)) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(sigma_clausification,[status(thm)],[f34101])).
% 221.42/32.89 thf(f34101,plain,(
% 221.42/32.89 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setunion @ (setadjoin @ sK0 @ emptyset))) => (in @ Y0 @ sK0))))) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(not_proxy_clausification,[status(thm)],[f34100])).
% 221.42/32.89 thf(f34100,plain,(
% 221.42/32.89 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setunion @ (setadjoin @ sK0 @ emptyset))) => (in @ Y0 @ sK0)))))) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(boolean_simplification,[status(thm)],[f34083])).
% 221.42/32.89 thf(f34083,plain,(
% 221.42/32.89 ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setunion @ (setadjoin @ sK0 @ emptyset))) => (in @ Y0 @ sK0)))) = $false)) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(superposition,[status(thm)],[f7554,f34063])).
% 221.42/32.89 thf(f34063,plain,(
% 221.42/32.89 ($false = (in @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ (powerset @ sK0))) | (~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(equality_resolution,[status(thm)],[f33910])).
% 221.42/32.89 thf(f33910,plain,(
% 221.42/32.89 ( ! [X0 : $i] : ((sK0 != X0) | ($false = (in @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ (powerset @ X0)))) ) | (~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(trivial_inequality_removal,[status(thm)],[f33769])).
% 221.42/32.89 thf(f33769,plain,(
% 221.42/32.89 ( ! [X0 : $i] : (($false = (in @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ (powerset @ X0))) | (sK0 != X0) | ($false = $true)) ) | (~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(superposition,[status(thm)],[f17187,f15400])).
% 221.42/32.89 thf(f15400,plain,(
% 221.42/32.89 ($false = (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0)) | ~spl3_1544),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f15399])).
% 221.42/32.89 thf(f15399,definition,(
% 221.42/32.89 spl3_1544 <=> ($false = (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_1544])],[avatar_definition])).
% 221.42/32.89 thf(f17187,plain,(
% 221.42/32.89 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (subset @ X2 @ X0)) | ($false = (in @ X2 @ (powerset @ X1))) | (X0 != X1)) ) | (~spl3_298 | ~spl3_520)),
% 221.42/32.89 inference(superposition,[status(thm)],[f8595,f7735])).
% 221.42/32.89 thf(f7735,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (((powerset @ X1) = (powerset @ X2)) | (X1 != X2)) ) | ~spl3_298),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f7734])).
% 221.42/32.89 thf(f7734,definition,(
% 221.42/32.89 spl3_298 <=> ! [X2 : $i,X1 : $i] : (((powerset @ X1) = (powerset @ X2)) | (X1 != X2))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_298])],[avatar_definition])).
% 221.42/32.89 thf(f8595,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($false = (in @ X1 @ (powerset @ X2))) | ($true = (subset @ X1 @ X2))) ) | ~spl3_520),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f8594])).
% 221.42/32.89 thf(f8594,definition,(
% 221.42/32.89 spl3_520 <=> ! [X2 : $i,X1 : $i] : (($false = (in @ X1 @ (powerset @ X2))) | ($true = (subset @ X1 @ X2)))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_520])],[avatar_definition])).
% 221.42/32.89 thf(f7554,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))) = (in @ X2 @ (powerset @ X1))))) ) | ~spl3_250),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f7553])).
% 221.42/32.89 thf(f7553,definition,(
% 221.42/32.89 spl3_250 <=> ! [X2 : $i,X1 : $i] : ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))) = (in @ X2 @ (powerset @ X1))))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_250])],[avatar_definition])).
% 221.42/32.89 thf(f40328,plain,(
% 221.42/32.89 ((in @ sK913 @ sK0) = $true) | (~spl3_64 | ~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(backward_demodulation,[status(thm)],[f36197,f40264])).
% 221.42/32.89 thf(f40264,plain,(
% 221.42/32.89 (sK918 = sK0) | (~spl3_64 | ~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(trivial_inequality_removal,[status(thm)],[f40232])).
% 221.42/32.89 thf(f40232,plain,(
% 221.42/32.89 (sK918 = sK0) | ($false = $true) | (~spl3_64 | ~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(superposition,[status(thm)],[f6861,f36196])).
% 221.42/32.89 thf(f36196,plain,(
% 221.42/32.89 ((in @ sK918 @ (setadjoin @ sK0 @ emptyset)) = $true) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f36195])).
% 221.42/32.89 thf(f36195,plain,(
% 221.42/32.89 (((in @ sK913 @ sK918) & (in @ sK918 @ (setadjoin @ sK0 @ emptyset))) = $true) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f36194])).
% 221.42/32.89 thf(f36194,plain,(
% 221.42/32.89 ($true = ((^[Y0 : $i]: ((in @ sK913 @ Y0) & (in @ Y0 @ (setadjoin @ sK0 @ emptyset)))) @ sK918)) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(sigma_clausification,[status(thm)],[f36193])).
% 221.42/32.89 thf(f36193,plain,(
% 221.42/32.89 ($true = (?? @ $i @ (^[Y0 : $i]: ((in @ sK913 @ Y0) & (in @ Y0 @ (setadjoin @ sK0 @ emptyset)))))) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(boolean_simplification,[status(thm)],[f36121])).
% 221.42/32.89 thf(f36121,plain,(
% 221.42/32.89 (((?? @ $i @ (^[Y0 : $i]: ((in @ sK913 @ Y0) & (in @ Y0 @ (setadjoin @ sK0 @ emptyset))))) = $true) = $true) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(superposition,[status(thm)],[f8655,f34105])).
% 221.42/32.89 thf(f34105,plain,(
% 221.42/32.89 ((in @ sK913 @ (setunion @ (setadjoin @ sK0 @ emptyset))) = $true) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_1544)),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f34103])).
% 221.42/32.89 thf(f8655,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($true = ((?? @ $i @ (^[Y0 : $i]: ((in @ X2 @ Y0) & (in @ Y0 @ X1)))) = (in @ X2 @ (setunion @ X1))))) ) | ~spl3_536),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f8654])).
% 221.42/32.89 thf(f8654,definition,(
% 221.42/32.89 spl3_536 <=> ! [X2 : $i,X1 : $i] : ($true = ((?? @ $i @ (^[Y0 : $i]: ((in @ X2 @ Y0) & (in @ Y0 @ X1)))) = (in @ X2 @ (setunion @ X1))))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_536])],[avatar_definition])).
% 221.42/32.89 thf(f6861,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ (setadjoin @ X2 @ emptyset)) = $false) | (X1 = X2)) ) | ~spl3_64),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f6860])).
% 221.42/32.89 thf(f6860,definition,(
% 221.42/32.89 spl3_64 <=> ! [X2 : $i,X1 : $i] : (((in @ X1 @ (setadjoin @ X2 @ emptyset)) = $false) | (X1 = X2))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_64])],[avatar_definition])).
% 221.42/32.89 thf(f36197,plain,(
% 221.42/32.89 ($true = (in @ sK913 @ sK918)) | (~spl3_250 | ~spl3_298 | ~spl3_520 | ~spl3_536 | ~spl3_1544)),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f36195])).
% 221.42/32.89 thf(f15634,plain,(
% 221.42/32.89 spl3_1544 | ~spl3_114 | ~spl3_156 | ~spl3_639),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f15630,f9059,f7201,f7046,f15399])).
% 221.42/32.89 thf(f7046,definition,(
% 221.42/32.89 spl3_114 <=> ($false = (sP2 @ $true))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_114])],[avatar_definition])).
% 221.42/32.89 thf(f7201,definition,(
% 221.42/32.89 spl3_156 <=> ! [X4 : $o] : (($true = X4) | ($false = X4))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_156])],[avatar_definition])).
% 221.42/32.89 thf(f9059,definition,(
% 221.42/32.89 spl3_639 <=> ($true = (sP2 @ (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0)))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_639])],[avatar_definition])).
% 221.42/32.89 thf(f15630,plain,(
% 221.42/32.89 ($false = (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0)) | (~spl3_114 | ~spl3_156 | ~spl3_639)),
% 221.42/32.89 inference(trivial_inequality_removal,[status(thm)],[f15627])).
% 221.42/32.89 thf(f15627,plain,(
% 221.42/32.89 ($false = (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0)) | ($false = $true) | (~spl3_114 | ~spl3_156 | ~spl3_639)),
% 221.42/32.89 inference(superposition,[status(thm)],[f15374,f9060])).
% 221.42/32.89 thf(f9060,plain,(
% 221.42/32.89 ($true = (sP2 @ (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0))) | ~spl3_639),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f9059])).
% 221.42/32.89 thf(f15374,plain,(
% 221.42/32.89 ( ! [X0 : $o] : (($false = (sP2 @ X0)) | ($false = X0)) ) | (~spl3_114 | ~spl3_156)),
% 221.42/32.89 inference(superposition,[status(thm)],[f7047,f7202])).
% 221.42/32.89 thf(f7202,plain,(
% 221.42/32.89 ( ! [X4 : $o] : (($true = X4) | ($false = X4)) ) | ~spl3_156),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f7201])).
% 221.42/32.89 thf(f7047,plain,(
% 221.42/32.89 ($false = (sP2 @ $true)) | ~spl3_114),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f7046])).
% 221.42/32.89 thf(f15474,plain,(
% 221.42/32.89 (prop2setI != $false) | (prop2setI != $true) | (omegaSAx != $true) | (omegaSAx = $false)),
% 221.42/32.89 introduced(definition,[],[theory_tautology_sat_conflict])).
% 221.42/32.89 thf(f15113,plain,(
% 221.42/32.89 spl3_156 | ~spl3_379 | ~spl3_606),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f15108,f8926,f8040,f7201])).
% 221.42/32.89 thf(f8040,definition,(
% 221.42/32.89 spl3_379 <=> ! [X1 : $o] : (($false = X1) | ($true = (in @ emptyset @ (prop2set @ X1))))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_379])],[avatar_definition])).
% 221.42/32.89 thf(f8926,definition,(
% 221.42/32.89 spl3_606 <=> ! [X2 : $i,X1 : $o] : (($true = X1) | ($false = (in @ X2 @ (prop2set @ X1))))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_606])],[avatar_definition])).
% 221.42/32.89 thf(f15108,plain,(
% 221.42/32.89 ( ! [X0 : $o] : (($false = X0) | ($true = X0)) ) | (~spl3_379 | ~spl3_606)),
% 221.42/32.89 inference(trivial_inequality_removal,[status(thm)],[f15106])).
% 221.42/32.89 thf(f15106,plain,(
% 221.42/32.89 ( ! [X0 : $o] : (($false = X0) | ($false = $true) | ($true = X0)) ) | (~spl3_379 | ~spl3_606)),
% 221.42/32.89 inference(superposition,[status(thm)],[f8041,f8927])).
% 221.42/32.89 thf(f8927,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $o] : (($false = (in @ X2 @ (prop2set @ X1))) | ($true = X1)) ) | ~spl3_606),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f8926])).
% 221.42/32.89 thf(f8041,plain,(
% 221.42/32.89 ( ! [X1 : $o] : (($true = (in @ emptyset @ (prop2set @ X1))) | ($false = X1)) ) | ~spl3_379),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f8040])).
% 221.42/32.89 thf(f13776,plain,(
% 221.42/32.89 (prop2setE != $false) | (prop2setE != $true) | (omegaSAx != $true) | (omegaSAx = $false)),
% 221.42/32.89 introduced(definition,[],[theory_tautology_sat_conflict])).
% 221.42/32.89 thf(f13468,plain,(
% 221.42/32.89 (setunionAx != $false) | (setunionAx != $true) | (omegaSAx != $true) | (omegaSAx = $false)),
% 221.42/32.89 introduced(definition,[],[theory_tautology_sat_conflict])).
% 221.42/32.89 thf(f13389,plain,(
% 221.42/32.89 (powersetE1 != $false) | (powersetE1 != $true) | (omegaSAx != $true) | (omegaSAx = $false)),
% 221.42/32.89 introduced(definition,[],[theory_tautology_sat_conflict])).
% 221.42/32.89 thf(f12768,plain,(
% 221.42/32.89 (powerset__Cong != $false) | (powerset__Cong != $true) | (omegaSAx != $true) | (omegaSAx = $false)),
% 221.42/32.89 introduced(definition,[],[theory_tautology_sat_conflict])).
% 221.42/32.89 thf(f12653,plain,(
% 221.42/32.89 ~spl3_41 | ~spl3_111),
% 221.42/32.89 inference(avatar_contradiction_clause,[status(thm)],[f12652])).
% 221.42/32.89 thf(f12652,plain,(
% 221.42/32.89 $false | (~spl3_41 | ~spl3_111)),
% 221.42/32.89 inference(trivial_inequality_removal,[status(thm)],[f12651])).
% 221.42/32.89 thf(f12651,plain,(
% 221.42/32.89 ($false = $true) | (~spl3_41 | ~spl3_111)),
% 221.42/32.89 inference(backward_demodulation,[status(thm)],[f6777,f7036])).
% 221.42/32.89 thf(f7036,plain,(
% 221.42/32.89 (omegaSAx = $false) | ~spl3_111),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f7035])).
% 221.42/32.89 thf(f7035,definition,(
% 221.42/32.89 spl3_111 <=> (omegaSAx = $false)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_111])],[avatar_definition])).
% 221.42/32.89 thf(f6777,plain,(
% 221.42/32.89 (omegaSAx = $true) | ~spl3_41),
% 221.42/32.89 inference(avatar_component_clause,[status(thm)],[f6776])).
% 221.42/32.89 thf(f6776,definition,(
% 221.42/32.89 spl3_41 <=> (omegaSAx = $true)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_41])],[avatar_definition])).
% 221.42/32.89 thf(f9236,plain,(
% 221.42/32.89 spl3_602),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f763,f8912])).
% 221.42/32.89 thf(f8912,definition,(
% 221.42/32.89 spl3_602 <=> (prop2setE = $true)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_602])],[avatar_definition])).
% 221.42/32.89 thf(f763,plain,(
% 221.42/32.89 (prop2setE = $true)),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f465])).
% 221.42/32.89 thf(f465,plain,(
% 221.42/32.89 (uniqinunit = $true) & (setadjoinSub2 = $true) & (subsetE2 = $true) & (notinemptyset = $true) & (setadjoinIL = $true) & (exuI2 = $true) & (prop2setE = $true) & (replAx = $true) & (kpairiskpair = $true) & (cartprodpairin = $true) & (upairinpowunion = $true) & (binunionLsub = $true) & (setadjoinE = $true) & (emptysetAx = $true) & (singletonsubset = $true) & (ubforcartprodlem1 = $true) & (emptyinunitempty = $true) & (setminusSubset1 = $true) & (nonemptyE1 = $true) & (upairsetIR = $true) & (omega__Cong = $true) & (sepSubset = $true) & (singletonsswitch = $true) & (subsetI2 = $true) & (setukpairIL = $true) & (binintersectSubset4 = $true) & (powersetAx = $true) & (eqinunit = $true) & (setadjoinSub = $true) & (setminusILneg = $true) & (ubforcartprodlem3 = $true) & (symdiffIneg2 = $true) & (notequalI2 = $true) & (wellorderingAx = $true) & (symdiffE = $true) & (powersetE1 = $true) & (disjointsetsI1 = $true) & (upairsetIL = $true) & (powerset__Cong = $true) & (binunionRsub = $true) & (ubforcartprodlem2 = $true) & (quantDeMorgan3 = $true) & (emptyE1 = $true) & (noeltsimpempty = $true) & (binunionEcases = $true) & (setadjoinAx = $true) & (emptysetimpfalse = $true) & (notdallE = $true) & (inCongP = $true) & (emptyI = $true) & (exuI3 = $true) & (cartprodmempair = $true) & (exuE3e = $true) & (emptysetsubset = $true) & (binunionE = $true) & (upairset2IR = $true) & (exuEu = $true) & (notequalI1 = $true) & (emptyInPowerset = $true) & (dsetconstr__Cong = $true) & (binintersectRsub = $true) & (prop2set2propI = $true) & (omega0Ax = $true) & (symdiffI2 = $true) & (inPowerset = $true) & (binintersectEL = $true) & (subset2powerset = $true) & (setminusIRneg = $true) & (nonemptyI1 = $true) & (binunionIL = $true) & (setadjoin__Cong = $true) & ($true != (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0)) & (exuE2 = $true) & (dsetconstrI = $true) & (subsetRefl = $true) & (binintersectSubset5 = $true) & (setadjoinIR = $true) & (setminusSubset2 = $true) & (setminusELneg = $true) & (notdexE = $true) & (nonemptyI = $true) & (setukpairIR = $true) & (symdiffI1 = $true) & (setminusER = $true) & (exu__Cong = $true) & (powersetI1 = $true) & (descr__Cong = $true) & (eqimpsubset1 = $true) & (binunionIR = $true) & (sepInPowerset = $true) & (binintersectI = $true) & (eqimpsubset2 = $true) & (kpairp = $true) & (emptyinPowerset = $true) & (exuE3u = $true) & (binintersectLsub = $true) & (powersetE = $true) & (subsetTrans = $true) & (setunionAx = $true) & (setunion__Cong = $true) & (notinsingleton = $true) & (vacuousDall = $true) & (emptyset__Cong = $true) & (omegaIndAx = $true) & (setunionE2 = $true) & (subPowSU = $true) & (upairsubunion = $true) & (notsubsetI = $true) & (omegaSAx = $true) & (setunionI = $true) & (symdiffIneg1 = $true) & (binintersectSubset2 = $true) & (bs114d = $true) & (setoftrueEq = $true) & (descrp = $true) & (setextsub = $true) & (in__Cong = $true) & (singletoninpowunion = $true) & (setext = $true) & (foundationAx = $true) & (binintersectSubset1 = $true) & (setminusERneg = $true) & (prop2setI = $true) & (upairsetE = $true) & (binintersectSubset3 = $true) & (quantDeMorgan2 = $true) & (setminusI = $true) & (quantDeMorgan1 = $true) & (binintersectER = $true) & (dsetconstrER = $true) & (emptysetE = $true) & (powersetI = $true) & (upairset2E = $true) & (setextAx = $true) & (setminusLsub = $true) & (singletoninpowerset = $true) & (secondinupair = $true) & (exuE1 = $true) & (subsetemptysetimpeq = $true) & (dsetconstrEL = $true) & (subsetE = $true) & (setbeta = $true) & (nonemptyImpWitness = $true) & (setminusEL = $true) & (setadjoinOr = $true) & (setunionE = $true) & (cartprodmempair1 = $true) & (powersetsubset = $true) & (subsetI1 = $true) & (quantDeMorgan4 = $true) & (exuI1 = $true)),
% 221.42/32.89 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f463,f464])).
% 221.42/32.89 thf(f464,plain,(
% 221.42/32.89 ? [X0 : $i] : ($true != (subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0)) => ($true != (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0))),
% 221.42/32.89 introduced(definition,[],[choice_axiom])).
% 221.42/32.89 thf(f463,plain,(
% 221.42/32.89 (uniqinunit = $true) & (setadjoinSub2 = $true) & (subsetE2 = $true) & (notinemptyset = $true) & (setadjoinIL = $true) & (exuI2 = $true) & (prop2setE = $true) & (replAx = $true) & (kpairiskpair = $true) & (cartprodpairin = $true) & (upairinpowunion = $true) & (binunionLsub = $true) & (setadjoinE = $true) & (emptysetAx = $true) & (singletonsubset = $true) & (ubforcartprodlem1 = $true) & (emptyinunitempty = $true) & (setminusSubset1 = $true) & (nonemptyE1 = $true) & (upairsetIR = $true) & (omega__Cong = $true) & (sepSubset = $true) & (singletonsswitch = $true) & (subsetI2 = $true) & (setukpairIL = $true) & (binintersectSubset4 = $true) & (powersetAx = $true) & (eqinunit = $true) & (setadjoinSub = $true) & (setminusILneg = $true) & (ubforcartprodlem3 = $true) & (symdiffIneg2 = $true) & (notequalI2 = $true) & (wellorderingAx = $true) & (symdiffE = $true) & (powersetE1 = $true) & (disjointsetsI1 = $true) & (upairsetIL = $true) & (powerset__Cong = $true) & (binunionRsub = $true) & (ubforcartprodlem2 = $true) & (quantDeMorgan3 = $true) & (emptyE1 = $true) & (noeltsimpempty = $true) & (binunionEcases = $true) & (setadjoinAx = $true) & (emptysetimpfalse = $true) & (notdallE = $true) & (inCongP = $true) & (emptyI = $true) & (exuI3 = $true) & (cartprodmempair = $true) & (exuE3e = $true) & (emptysetsubset = $true) & (binunionE = $true) & (upairset2IR = $true) & (exuEu = $true) & (notequalI1 = $true) & (emptyInPowerset = $true) & (dsetconstr__Cong = $true) & (binintersectRsub = $true) & (prop2set2propI = $true) & (omega0Ax = $true) & (symdiffI2 = $true) & (inPowerset = $true) & (binintersectEL = $true) & (subset2powerset = $true) & (setminusIRneg = $true) & (nonemptyI1 = $true) & (binunionIL = $true) & (setadjoin__Cong = $true) & ? [X0 : $i] : ($true != (subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0)) & (exuE2 = $true) & (dsetconstrI = $true) & (subsetRefl = $true) & (binintersectSubset5 = $true) & (setadjoinIR = $true) & (setminusSubset2 = $true) & (setminusELneg = $true) & (notdexE = $true) & (nonemptyI = $true) & (setukpairIR = $true) & (symdiffI1 = $true) & (setminusER = $true) & (exu__Cong = $true) & (powersetI1 = $true) & (descr__Cong = $true) & (eqimpsubset1 = $true) & (binunionIR = $true) & (sepInPowerset = $true) & (binintersectI = $true) & (eqimpsubset2 = $true) & (kpairp = $true) & (emptyinPowerset = $true) & (exuE3u = $true) & (binintersectLsub = $true) & (powersetE = $true) & (subsetTrans = $true) & (setunionAx = $true) & (setunion__Cong = $true) & (notinsingleton = $true) & (vacuousDall = $true) & (emptyset__Cong = $true) & (omegaIndAx = $true) & (setunionE2 = $true) & (subPowSU = $true) & (upairsubunion = $true) & (notsubsetI = $true) & (omegaSAx = $true) & (setunionI = $true) & (symdiffIneg1 = $true) & (binintersectSubset2 = $true) & (bs114d = $true) & (setoftrueEq = $true) & (descrp = $true) & (setextsub = $true) & (in__Cong = $true) & (singletoninpowunion = $true) & (setext = $true) & (foundationAx = $true) & (binintersectSubset1 = $true) & (setminusERneg = $true) & (prop2setI = $true) & (upairsetE = $true) & (binintersectSubset3 = $true) & (quantDeMorgan2 = $true) & (setminusI = $true) & (quantDeMorgan1 = $true) & (binintersectER = $true) & (dsetconstrER = $true) & (emptysetE = $true) & (powersetI = $true) & (upairset2E = $true) & (setextAx = $true) & (setminusLsub = $true) & (singletoninpowerset = $true) & (secondinupair = $true) & (exuE1 = $true) & (subsetemptysetimpeq = $true) & (dsetconstrEL = $true) & (subsetE = $true) & (setbeta = $true) & (nonemptyImpWitness = $true) & (setminusEL = $true) & (setadjoinOr = $true) & (setunionE = $true) & (cartprodmempair1 = $true) & (powersetsubset = $true) & (subsetI1 = $true) & (quantDeMorgan4 = $true) & (exuI1 = $true)),
% 221.42/32.89 inference(flattening,[status(thm)],[f462])).
% 221.42/32.89 thf(f462,plain,(
% 221.42/32.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i] : ($true != (subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 221.42/32.89 inference(ennf_transformation,[status(thm)],[f409])).
% 221.42/32.89 thf(f409,plain,(
% 221.42/32.89 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ! [X0 : $i] : ($true = (subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 221.42/32.89 inference(fool_elimination,[status(thm)],[f408])).
% 221.42/32.89 thf(f408,plain,(
% 221.42/32.89 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => ! [X0 : $i] : (subset @ (setunion @ (setadjoin @ X0 @ emptyset)) @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 221.42/32.89 inference(rectify,[status(thm)],[f156])).
% 221.42/32.89 thf(f156,negated_conjecture,(
% 221.42/32.89 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => ! [X3 : $i] : (subset @ (setunion @ (setadjoin @ X3 @ emptyset)) @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 221.42/32.89 inference(negated_conjecture,[status(cth)],[f155])).
% 221.42/32.89 thf(f155,conjecture,(
% 221.42/32.89 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => ! [X3 : $i] : (subset @ (setunion @ (setadjoin @ X3 @ emptyset)) @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 221.42/32.89 file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',setunionsingleton1)).
% 221.42/32.89 thf(f9061,plain,(
% 221.42/32.89 spl3_639),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f774,f9059])).
% 221.42/32.89 thf(f774,plain,(
% 221.42/32.89 ($true = (sP2 @ (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0)))),
% 221.42/32.89 inference(inequality_splitting,[status(thm)],[f698,f773])).
% 221.42/32.89 thf(f773,plain,(
% 221.42/32.89 ($false = (sP2 @ $true))),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[sP2])],[inequality_splitting_name_introduction])).
% 221.42/32.89 thf(f698,plain,(
% 221.42/32.89 ($true != (subset @ (setunion @ (setadjoin @ sK0 @ emptyset)) @ sK0))),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f465])).
% 221.42/32.89 thf(f8929,plain,(
% 221.42/32.89 spl3_517),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f734,f8583])).
% 221.42/32.89 thf(f8583,definition,(
% 221.42/32.89 spl3_517 <=> (powersetE1 = $true)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_517])],[avatar_definition])).
% 221.42/32.89 thf(f734,plain,(
% 221.42/32.89 (powersetE1 = $true)),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f465])).
% 221.42/32.89 thf(f8928,plain,(
% 221.42/32.89 spl3_605 | spl3_606),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f4674,f8926,f8923])).
% 221.42/32.89 thf(f8923,definition,(
% 221.42/32.89 spl3_605 <=> (prop2setE = $false)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_605])],[avatar_definition])).
% 221.42/32.89 thf(f4674,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $o] : (($true = X1) | (prop2setE = $false) | ($false = (in @ X2 @ (prop2set @ X1)))) )),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f4673])).
% 221.42/32.89 thf(f4673,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $o] : ((prop2setE = $false) | (((in @ X2 @ (prop2set @ X1)) => X1) = $true)) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f4672])).
% 221.42/32.89 thf(f4672,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $o] : ((prop2setE = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ (prop2set @ X1)) => X1)) @ X2))) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f4671])).
% 221.42/32.89 thf(f4671,plain,(
% 221.42/32.89 ( ! [X1 : $o] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (prop2set @ X1)) => X1))) = $true) | (prop2setE = $false)) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f4670])).
% 221.42/32.89 thf(f4670,plain,(
% 221.42/32.89 ( ! [X1 : $o] : ((prop2setE = $false) | ($true = ((^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (prop2set @ Y0)) => Y0)))) @ X1))) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f4669])).
% 221.42/32.89 thf(f4669,plain,(
% 221.42/32.89 (prop2setE = $false) | ($true = (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (prop2set @ Y0)) => Y0))))))),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f558])).
% 221.42/32.89 thf(f558,plain,(
% 221.42/32.89 (prop2setE = (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (prop2set @ Y0)) => Y0))))))),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f318])).
% 221.42/32.89 thf(f318,plain,(
% 221.42/32.89 (prop2setE = (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (prop2set @ Y0)) => Y0))))))),
% 221.42/32.89 inference(fool_elimination,[status(thm)],[f317])).
% 221.42/32.89 thf(f317,plain,(
% 221.42/32.89 (! [X0 : $i,X1 : $o] : ((in @ X0 @ (prop2set @ X1)) => X1) = prop2setE)),
% 221.42/32.89 inference(rectify,[status(thm)],[f18])).
% 221.42/32.89 thf(f18,axiom,(
% 221.42/32.89 (! [X1 : $i,X0 : $o] : ((in @ X1 @ (prop2set @ X0)) => X0) = prop2setE)),
% 221.42/32.89 file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',prop2setE)).
% 221.42/32.89 thf(f8891,plain,(
% 221.42/32.89 spl3_249),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f743,f7549])).
% 221.42/32.89 thf(f7549,definition,(
% 221.42/32.89 spl3_249 <=> (powersetAx = $true)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_249])],[avatar_definition])).
% 221.42/32.89 thf(f743,plain,(
% 221.42/32.89 (powersetAx = $true)),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f465])).
% 221.42/32.89 thf(f8683,plain,(
% 221.42/32.89 spl3_377),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f647,f8032])).
% 221.42/32.89 thf(f8032,definition,(
% 221.42/32.89 spl3_377 <=> (prop2setI = $true)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_377])],[avatar_definition])).
% 221.42/32.89 thf(f647,plain,(
% 221.42/32.89 (prop2setI = $true)),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f465])).
% 221.42/32.89 thf(f8656,plain,(
% 221.42/32.89 spl3_535 | spl3_536),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f4941,f8654,f8651])).
% 221.42/32.89 thf(f8651,definition,(
% 221.42/32.89 spl3_535 <=> (setunionAx = $false)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_535])],[avatar_definition])).
% 221.42/32.89 thf(f4941,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($true = ((?? @ $i @ (^[Y0 : $i]: ((in @ X2 @ Y0) & (in @ Y0 @ X1)))) = (in @ X2 @ (setunion @ X1)))) | (setunionAx = $false)) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f4940])).
% 221.42/32.89 thf(f4940,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((setunionAx = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) & (in @ Y1 @ X1)))) = (in @ Y0 @ (setunion @ X1)))) @ X2) = $true)) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f4939])).
% 221.42/32.89 thf(f4939,plain,(
% 221.42/32.89 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) & (in @ Y1 @ X1)))) = (in @ Y0 @ (setunion @ X1)))))) | (setunionAx = $false)) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f4938])).
% 221.42/32.89 thf(f4938,plain,(
% 221.42/32.89 ( ! [X1 : $i] : ((setunionAx = $false) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y2) & (in @ Y2 @ Y0)))) = (in @ Y1 @ (setunion @ Y0)))))) @ X1))) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f4937])).
% 221.42/32.89 thf(f4937,plain,(
% 221.42/32.89 (setunionAx = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y2) & (in @ Y2 @ Y0)))) = (in @ Y1 @ (setunion @ Y0))))))))),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f615])).
% 221.42/32.89 thf(f615,plain,(
% 221.42/32.89 (setunionAx = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y2) & (in @ Y2 @ Y0)))) = (in @ Y1 @ (setunion @ Y0))))))))),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f294])).
% 221.42/32.89 thf(f294,plain,(
% 221.42/32.89 (setunionAx = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y2) & (in @ Y2 @ Y0)))) = (in @ Y1 @ (setunion @ Y0))))))))),
% 221.42/32.89 inference(fool_elimination,[status(thm)],[f293])).
% 221.42/32.89 thf(f293,plain,(
% 221.42/32.89 (setunionAx = ! [X0 : $i,X1 : $i] : (? [X2 : $i] : ((in @ X2 @ X1) & (in @ X0 @ X2)) <=> (in @ X0 @ (setunion @ X1))))),
% 221.42/32.89 inference(rectify,[status(thm)],[f6])).
% 221.42/32.89 thf(f6,axiom,(
% 221.42/32.89 (setunionAx = ! [X1 : $i,X3 : $i] : (? [X4 : $i] : ((in @ X4 @ X3) & (in @ X1 @ X4)) <=> (in @ X1 @ (setunion @ X3))))),
% 221.42/32.89 file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',setunionAx)).
% 221.42/32.89 thf(f8596,plain,(
% 221.42/32.89 spl3_519 | spl3_520),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f5000,f8594,f8591])).
% 221.42/32.89 thf(f8591,definition,(
% 221.42/32.89 spl3_519 <=> (powersetE1 = $false)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_519])],[avatar_definition])).
% 221.42/32.89 thf(f5000,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($false = (in @ X1 @ (powerset @ X2))) | (powersetE1 = $false) | ($true = (subset @ X1 @ X2))) )),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f4999])).
% 221.42/32.89 thf(f4999,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X1 @ (powerset @ X2)) => (subset @ X1 @ X2))) | (powersetE1 = $false)) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f4998])).
% 221.42/32.89 thf(f4998,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (subset @ X1 @ Y0))) @ X2)) | (powersetE1 = $false)) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f4997])).
% 221.42/32.89 thf(f4997,plain,(
% 221.42/32.89 ( ! [X1 : $i] : ((powersetE1 = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (powerset @ Y0)) => (subset @ X1 @ Y0)))))) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f4996])).
% 221.42/32.89 thf(f4996,plain,(
% 221.42/32.89 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (subset @ Y0 @ Y1))))) @ X1)) | (powersetE1 = $false)) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f4995])).
% 221.42/32.89 thf(f4995,plain,(
% 221.42/32.89 (powersetE1 = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (subset @ Y0 @ Y1)))))))),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f524])).
% 221.42/32.89 thf(f524,plain,(
% 221.42/32.89 (powersetE1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (subset @ Y0 @ Y1)))))))),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f262])).
% 221.42/32.89 thf(f262,plain,(
% 221.42/32.89 (powersetE1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (powerset @ Y1)) => (subset @ Y0 @ Y1)))))))),
% 221.42/32.89 inference(fool_elimination,[status(thm)],[f261])).
% 221.42/32.89 thf(f261,plain,(
% 221.42/32.89 (! [X0 : $i,X1 : $i] : ((in @ X1 @ (powerset @ X0)) => (subset @ X1 @ X0)) = powersetE1)),
% 221.42/32.89 inference(rectify,[status(thm)],[f96])).
% 221.42/32.89 thf(f96,axiom,(
% 221.42/32.89 (! [X3 : $i,X4 : $i] : ((in @ X4 @ (powerset @ X3)) => (subset @ X4 @ X3)) = powersetE1)),
% 221.42/32.89 file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',powersetE1)).
% 221.42/32.89 thf(f8526,plain,(
% 221.42/32.89 spl3_60),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f669,f6846])).
% 221.42/32.89 thf(f6846,definition,(
% 221.42/32.89 spl3_60 <=> (notinsingleton = $true)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_60])],[avatar_definition])).
% 221.42/32.89 thf(f669,plain,(
% 221.42/32.89 (notinsingleton = $true)),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f465])).
% 221.42/32.89 thf(f8045,plain,(
% 221.42/32.89 spl3_379 | spl3_380),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f5454,f8043,f8040])).
% 221.42/32.89 thf(f8043,definition,(
% 221.42/32.89 spl3_380 <=> (prop2setI = $false)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_380])],[avatar_definition])).
% 221.42/32.89 thf(f5454,plain,(
% 221.42/32.89 ( ! [X1 : $o] : (($false = X1) | ($true = (in @ emptyset @ (prop2set @ X1))) | (prop2setI = $false)) )),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f5453])).
% 221.42/32.89 thf(f5453,plain,(
% 221.42/32.89 ( ! [X1 : $o] : ((prop2setI = $false) | ($true = (X1 => (in @ emptyset @ (prop2set @ X1))))) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f5452])).
% 221.42/32.89 thf(f5452,plain,(
% 221.42/32.89 ( ! [X1 : $o] : (($true = ((^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0)))) @ X1)) | (prop2setI = $false)) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f5451])).
% 221.42/32.89 thf(f5451,plain,(
% 221.42/32.89 (prop2setI = $false) | ($true = (!! @ $o @ (^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0))))))),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f537])).
% 221.42/32.89 thf(f537,plain,(
% 221.42/32.89 (prop2setI = (!! @ $o @ (^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0))))))),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f167])).
% 221.42/32.89 thf(f167,plain,(
% 221.42/32.89 (prop2setI = (!! @ $o @ (^[Y0 : $o]: (Y0 => (in @ emptyset @ (prop2set @ Y0))))))),
% 221.42/32.89 inference(fool_elimination,[status(thm)],[f166])).
% 221.42/32.89 thf(f166,plain,(
% 221.42/32.89 (! [X0 : $o] : (X0 => (in @ emptyset @ (prop2set @ X0))) = prop2setI)),
% 221.42/32.89 inference(rectify,[status(thm)],[f59])).
% 221.42/32.89 thf(f59,axiom,(
% 221.42/32.89 (! [X0 : $o] : (X0 => (in @ emptyset @ (prop2set @ X0))) = prop2setI)),
% 221.42/32.89 file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',prop2setI)).
% 221.42/32.89 thf(f7736,plain,(
% 221.42/32.89 spl3_297 | spl3_298),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f5727,f7734,f7731])).
% 221.42/32.89 thf(f7731,definition,(
% 221.42/32.89 spl3_297 <=> (powerset__Cong = $false)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_297])],[avatar_definition])).
% 221.42/32.89 thf(f5727,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((powerset__Cong = $false) | ((powerset @ X1) = (powerset @ X2)) | (X1 != X2)) )),
% 221.42/32.89 inference(equality_proxy_clausification,[status(thm)],[f5726])).
% 221.42/32.89 thf(f5726,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($false = (X2 = X1)) | (powerset__Cong = $false) | ((powerset @ X1) = (powerset @ X2))) )),
% 221.42/32.89 inference(equality_proxy_clausification,[status(thm)],[f5725])).
% 221.42/32.89 thf(f5725,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($true = ((powerset @ X2) = (powerset @ X1))) | (powerset__Cong = $false) | ($false = (X2 = X1))) )),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f5724])).
% 221.42/32.89 thf(f5724,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((powerset__Cong = $false) | ($true = ((X2 = X1) => ((powerset @ X2) = (powerset @ X1))))) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f5723])).
% 221.42/32.89 thf(f5723,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((powerset__Cong = $false) | (((^[Y0 : $i]: ((Y0 = X1) => ((powerset @ Y0) = (powerset @ X1)))) @ X2) = $true)) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f5722])).
% 221.42/32.89 thf(f5722,plain,(
% 221.42/32.89 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((Y0 = X1) => ((powerset @ Y0) = (powerset @ X1)))))) | (powerset__Cong = $false)) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f5721])).
% 221.42/32.89 thf(f5721,plain,(
% 221.42/32.89 ( ! [X1 : $i] : ((powerset__Cong = $false) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => ((powerset @ Y1) = (powerset @ Y0)))))) @ X1))) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f5720])).
% 221.42/32.89 thf(f5720,plain,(
% 221.42/32.89 (powerset__Cong = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => ((powerset @ Y1) = (powerset @ Y0))))))) = $true)),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f484])).
% 221.42/32.89 thf(f484,plain,(
% 221.42/32.89 (powerset__Cong = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => ((powerset @ Y1) = (powerset @ Y0))))))))),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f296])).
% 221.42/32.89 thf(f296,plain,(
% 221.42/32.89 (powerset__Cong = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => ((powerset @ Y1) = (powerset @ Y0))))))))),
% 221.42/32.89 inference(fool_elimination,[status(thm)],[f295])).
% 221.42/32.89 thf(f295,plain,(
% 221.42/32.89 (! [X0 : $i,X1 : $i] : ((X0 = X1) => ((powerset @ X0) = (powerset @ X1))) = powerset__Cong)),
% 221.42/32.89 inference(rectify,[status(thm)],[f72])).
% 221.42/32.89 thf(f72,axiom,(
% 221.42/32.89 (! [X3 : $i,X4 : $i] : ((X3 = X4) => ((powerset @ X3) = (powerset @ X4))) = powerset__Cong)),
% 221.42/32.89 file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',powerset__Cong)).
% 221.42/32.89 thf(f7580,plain,(
% 221.42/32.89 spl3_257),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f731,f7578])).
% 221.42/32.89 thf(f7578,definition,(
% 221.42/32.89 spl3_257 <=> (powerset__Cong = $true)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_257])],[avatar_definition])).
% 221.42/32.89 thf(f731,plain,(
% 221.42/32.89 (powerset__Cong = $true)),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f465])).
% 221.42/32.89 thf(f7558,plain,(
% 221.42/32.89 spl3_250 | spl3_251),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f5874,f7556,f7553])).
% 221.42/32.89 thf(f7556,definition,(
% 221.42/32.89 spl3_251 <=> (powersetAx = $false)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_251])],[avatar_definition])).
% 221.42/32.89 thf(f5874,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))) = (in @ X2 @ (powerset @ X1)))) | (powersetAx = $false)) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f5873])).
% 221.42/32.89 thf(f5873,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((powersetAx = $false) | ($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) = (in @ Y0 @ (powerset @ X1)))) @ X2))) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f5872])).
% 221.42/32.89 thf(f5872,plain,(
% 221.42/32.89 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) = (in @ Y0 @ (powerset @ X1)))))) | (powersetAx = $false)) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f5871])).
% 221.42/32.89 thf(f5871,plain,(
% 221.42/32.89 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) = (in @ Y1 @ (powerset @ Y0)))))) @ X1) = $true) | (powersetAx = $false)) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f5870])).
% 221.42/32.89 thf(f5870,plain,(
% 221.42/32.89 (powersetAx = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) = (in @ Y1 @ (powerset @ Y0))))))))),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f556])).
% 221.42/32.89 thf(f556,plain,(
% 221.42/32.89 (powersetAx = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) = (in @ Y1 @ (powerset @ Y0))))))))),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f280])).
% 221.42/32.89 thf(f280,plain,(
% 221.42/32.89 (powersetAx = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) = (in @ Y1 @ (powerset @ Y0))))))))),
% 221.42/32.89 inference(fool_elimination,[status(thm)],[f279])).
% 221.42/32.89 thf(f279,plain,(
% 221.42/32.89 (powersetAx = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) <=> (in @ X0 @ (powerset @ X1))))),
% 221.42/32.89 inference(rectify,[status(thm)],[f5])).
% 221.42/32.89 thf(f5,axiom,(
% 221.42/32.89 (powersetAx = ! [X4 : $i,X3 : $i] : (! [X1 : $i] : ((in @ X1 @ X4) => (in @ X1 @ X3)) <=> (in @ X4 @ (powerset @ X3))))),
% 221.42/32.89 file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',powersetAx)).
% 221.42/32.89 thf(f7130,plain,(
% 221.42/32.89 spl3_136),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f671,f7128])).
% 221.42/32.89 thf(f7128,definition,(
% 221.42/32.89 spl3_136 <=> (setunionAx = $true)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_136])],[avatar_definition])).
% 221.42/32.89 thf(f671,plain,(
% 221.42/32.89 (setunionAx = $true)),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f465])).
% 221.42/32.89 thf(f7048,plain,(
% 221.42/32.89 spl3_114),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f773,f7046])).
% 221.42/32.89 thf(f6862,plain,(
% 221.42/32.89 spl3_63 | spl3_64),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f6470,f6860,f6857])).
% 221.42/32.89 thf(f6857,definition,(
% 221.42/32.89 spl3_63 <=> (notinsingleton = $false)),
% 221.42/32.89 introduced(definition,[new_symbols(naming,[spl3_63])],[avatar_definition])).
% 221.42/32.89 thf(f6470,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((notinsingleton = $false) | ((in @ X1 @ (setadjoin @ X2 @ emptyset)) = $false) | (X1 = X2)) )),
% 221.42/32.89 inference(not_proxy_clausification,[status(thm)],[f6469])).
% 221.42/32.89 thf(f6469,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((notinsingleton = $false) | (X1 = X2) | ($true = (~ (in @ X1 @ (setadjoin @ X2 @ emptyset))))) )),
% 221.42/32.89 inference(equality_proxy_clausification,[status(thm)],[f6468])).
% 221.42/32.89 thf(f6468,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((notinsingleton = $false) | ((X2 = X1) = $true) | ($true = (~ (in @ X1 @ (setadjoin @ X2 @ emptyset))))) )),
% 221.42/32.89 inference(not_proxy_clausification,[status(thm)],[f6467])).
% 221.42/32.89 thf(f6467,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : (((~ (X2 = X1)) = $false) | (notinsingleton = $false) | ($true = (~ (in @ X1 @ (setadjoin @ X2 @ emptyset))))) )),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f6466])).
% 221.42/32.89 thf(f6466,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((notinsingleton = $false) | ($true = ((~ (X2 = X1)) => (~ (in @ X1 @ (setadjoin @ X2 @ emptyset)))))) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f6465])).
% 221.42/32.89 thf(f6465,plain,(
% 221.42/32.89 ( ! [X2 : $i,X1 : $i] : ((notinsingleton = $false) | ($true = ((^[Y0 : $i]: ((~ (Y0 = X1)) => (~ (in @ X1 @ (setadjoin @ Y0 @ emptyset))))) @ X2))) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f6464])).
% 221.42/32.89 thf(f6464,plain,(
% 221.42/32.89 ( ! [X1 : $i] : ((notinsingleton = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (Y0 = X1)) => (~ (in @ X1 @ (setadjoin @ Y0 @ emptyset)))))) = $true)) )),
% 221.42/32.89 inference(beta_eta_normalization,[status(thm)],[f6463])).
% 221.42/32.89 thf(f6463,plain,(
% 221.42/32.89 ( ! [X1 : $i] : ((notinsingleton = $false) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (Y1 = Y0)) => (~ (in @ Y0 @ (setadjoin @ Y1 @ emptyset))))))) @ X1))) )),
% 221.42/32.89 inference(pi_clausification,[status(thm)],[f6462])).
% 221.42/32.89 thf(f6462,plain,(
% 221.42/32.89 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (Y1 = Y0)) => (~ (in @ Y0 @ (setadjoin @ Y1 @ emptyset)))))))) = $true) | (notinsingleton = $false)),
% 221.42/32.89 inference(binary_proxy_clausification,[status(thm)],[f489])).
% 221.42/32.89 thf(f489,plain,(
% 221.42/32.89 (notinsingleton = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (Y1 = Y0)) => (~ (in @ Y0 @ (setadjoin @ Y1 @ emptyset)))))))))),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f175])).
% 221.42/32.89 thf(f175,plain,(
% 221.42/32.89 (notinsingleton = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (Y1 = Y0)) => (~ (in @ Y0 @ (setadjoin @ Y1 @ emptyset)))))))))),
% 221.42/32.89 inference(fool_elimination,[status(thm)],[f174])).
% 221.42/32.89 thf(f174,plain,(
% 221.42/32.89 (notinsingleton = ! [X0 : $i,X1 : $i] : ((X0 != X1) => ~(in @ X1 @ (setadjoin @ X0 @ emptyset))))),
% 221.42/32.89 inference(rectify,[status(thm)],[f47])).
% 221.42/32.89 thf(f47,axiom,(
% 221.42/32.89 (notinsingleton = ! [X1 : $i,X2 : $i] : ((X1 != X2) => ~(in @ X2 @ (setadjoin @ X1 @ emptyset))))),
% 221.42/32.89 file('/export/starexec/sandbox/tmp/tmp.5irRhPTtAx/DTF2THF_24989.p',notinsingleton)).
% 221.42/32.89 thf(f6778,plain,(
% 221.42/32.89 spl3_41),
% 221.42/32.89 inference(avatar_split_clause,[status(thm)],[f661,f6776])).
% 221.42/32.89 thf(f661,plain,(
% 221.42/32.89 (omegaSAx = $true)),
% 221.42/32.89 inference(cnf_transformation,[status(thm)],[f465])).
% 221.42/32.89 % SZS output end Proof for DTF2THF_24989
% 221.42/32.89 % (26709)------------------------------
% 221.42/32.89 % (26709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 221.42/32.89 % (26709)Termination reason: Refutation
% 221.42/32.89
% 221.42/32.89 % (26709)Memory used [KB]: 26865
% 221.42/32.89 % (26709)Time elapsed: 3.301 s
% 221.42/32.89 % (26709)Instructions burned: 9880 (million)
% 221.42/32.89 % (26709)------------------------------
% 221.42/32.89 % (26709)------------------------------
% 221.42/32.89 % (25215)Success in time 31.288 s
%------------------------------------------------------------------------------