%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU570^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 09:35:20 AM UTC 2026
% Result : Theorem 198.78s 29.99s
% Output : Refutation 198.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 1868 ( 508 equ; 0 cnn)
% Maximal formula atoms : 89 ( 34 avg)
% Number of connectives : 1139 ( 79 ~; 59 |; 295 &; 330 @)
% ( 6 <=>; 370 =>; 0 <=; 0 <~>)
% Maximal formula depth : 95 ( 16 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 259 ( 256 usr; 96 con; 0-4 aty)
% Number of variables : 116 ( 0 ^; 88 !; 28 ?; 116 :)
% 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_115,type,
sP1: $i > $i > $o ).
thf(func_def_116,type,
sP2: $i > $o ).
thf(func_def_117,type,
sP3: $i > $i > $o ).
thf(func_def_118,type,
sP4: $i > $i > $o ).
thf(func_def_119,type,
sK5: $i > $i > $o ).
thf(func_def_121,type,
sK7: $i > $i ).
thf(func_def_122,type,
sK8: $i > $i ).
thf(func_def_123,type,
sK9: $i > ( $i > $i > $o ) > $i ).
thf(func_def_124,type,
sK10: $i > ( $i > $i > $o ) > $i ).
thf(func_def_125,type,
sK11: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_127,type,
sK13: $i > $o ).
thf(func_def_129,type,
sK15: ( $i > $o ) > $i > $i ).
thf(func_def_133,type,
sK19: $i > $o ).
thf(func_def_137,type,
sK23: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_138,type,
sK24: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_139,type,
sK25: $i > $o ).
thf(func_def_140,type,
sK26: $i > $o ).
thf(func_def_146,type,
sK32: $i > $i ).
thf(func_def_151,type,
sK37: $i > $i > $i ).
thf(func_def_158,type,
sK44: $i > $o ).
thf(func_def_160,type,
sK46: $i > $o ).
thf(func_def_162,type,
sK48: ( $i > $o ) > $i > $i ).
thf(func_def_166,type,
sK52: $i > ( $i > $o ) > $i ).
thf(func_def_167,type,
sK53: $i > $o ).
thf(func_def_172,type,
sK58: $i > $i > $i ).
thf(func_def_173,type,
sK59: $i > $i > $i ).
thf(func_def_176,type,
sK62: $i > $i > $i ).
thf(func_def_182,type,
sK68: $i > $o ).
thf(func_def_184,type,
sK70: ( $i > $o ) > $i ).
thf(func_def_185,type,
sK71: $i > $o ).
thf(func_def_186,type,
sK72: $i > $i ).
thf(func_def_187,type,
sK73: ( $i > $o ) > $i > $i ).
thf(func_def_189,type,
sK75: $i > $o ).
thf(func_def_191,type,
sK77: $i > $o ).
thf(func_def_193,type,
sK79: $i > $o ).
thf(func_def_196,type,
sK82: $i > $o ).
thf(func_def_208,type,
sK94: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_209,type,
sK95: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_210,type,
sK96: $i > $o ).
thf(func_def_211,type,
sK97: $i > $o ).
thf(func_def_214,type,
sK100: $i > $o ).
thf(func_def_217,type,
sK103: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_218,type,
sK104: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_221,type,
sK107: $i > $o ).
thf(func_def_222,type,
sK108: $i > $o ).
thf(func_def_231,type,
sK117: $i > $i > $i ).
thf(func_def_235,type,
sK121: $i > $o ).
thf(func_def_237,type,
sK123: ( $i > $o ) > $i ).
thf(func_def_238,type,
sK124: ( $i > $o ) > $i ).
thf(func_def_239,type,
sK125: $i > $i ).
thf(func_def_244,type,
sK130: $o > $i > $i > $i ).
thf(func_def_246,type,
sK132: $i > $i ).
thf(func_def_250,type,
sK136: $i > $i ).
thf(func_def_262,type,
sK148: $i > $o ).
thf(func_def_263,type,
sK149: $i > $i ).
thf(func_def_264,type,
sK150: ( $i > $o ) > $i ).
thf(func_def_274,type,
sK160: $i > $i ).
thf(func_def_276,type,
sK162: $i > $i ).
thf(func_def_279,type,
sK165: $i > $o ).
thf(func_def_292,type,
sK178: $i > $i > $i ).
thf(func_def_293,type,
sK179: $i > $i > $i ).
thf(func_def_294,type,
sK180: $i > $i > $i ).
thf(func_def_295,type,
sK181: $i > $i > $i ).
thf(func_def_296,type,
sK182: $i > $i > $i ).
thf(func_def_297,type,
sK183: $i > $i > $i > $i ).
thf(func_def_298,type,
sK184: $i > $i ).
thf(func_def_299,type,
sK185: $i > $i ).
thf(func_def_300,type,
sK186: $i > $i ).
thf(func_def_301,type,
sK187: $i > $i ).
thf(func_def_302,type,
sK188: $i > $i > $i ).
thf(func_def_303,type,
sK189: $i > $i > $i > $i ).
thf(func_def_304,type,
sK190: $i > $i > $i > $i ).
thf(func_def_305,type,
sK191: $i > $i > $i ).
thf(func_def_306,type,
sK192: $i > $i > $i ).
thf(func_def_308,type,
sK194: $i > $i ).
thf(func_def_309,type,
sK195: $i > $i ).
thf(func_def_310,type,
sK196: $i > $i ).
thf(func_def_313,type,
sK199: ( $i > $o ) > $i ).
thf(func_def_314,type,
sK200: $i > $o ).
thf(func_def_319,type,
sK205: $i > $o ).
thf(func_def_321,type,
sK207: ( $i > $o ) > $i > $i ).
thf(func_def_322,type,
sK208: $i > $o ).
thf(func_def_324,type,
sK210: $i > ( $i > $o ) > $i ).
thf(func_def_328,type,
sK214: $i > $i ).
thf(func_def_332,type,
sK218: $i > $i > $i ).
thf(func_def_338,type,
sK224: $i > $o ).
thf(func_def_341,type,
sK227: $i > ( $i > $o ) > $i ).
thf(func_def_342,type,
sK228: $i > $o ).
thf(func_def_345,type,
sK231: $i > $o ).
thf(func_def_347,type,
sK233: $i > ( $i > $o ) > $i ).
thf(func_def_349,type,
sK235: $i > $o ).
thf(func_def_354,type,
sK240: $i > $i > $i ).
thf(func_def_360,type,
sK246: $i > $i > $i ).
thf(func_def_364,type,
sK250: $i > ( $i > $o ) > $i ).
thf(func_def_365,type,
sK251: ( $i > $o ) > $i > $i ).
thf(func_def_366,type,
sK252: ( $i > $o ) > $i > $i ).
thf(func_def_367,type,
sK253: $i > ( $i > $o ) > $i ).
thf(func_def_368,type,
sK254: $i > ( $i > $o ) > $i ).
thf(func_def_369,type,
sK255: ( $i > $o ) > $i ).
thf(func_def_370,type,
sK256: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_371,type,
sK257: ( $i > $o ) > $i > $i ).
thf(func_def_372,type,
sK258: $i > ( $i > $o ) > $i ).
thf(func_def_373,type,
sK259: ( $i > $o ) > $i > $i ).
thf(func_def_374,type,
sK260: $i > ( $i > $o ) > $i ).
thf(func_def_375,type,
sK261: $i > ( $i > $o ) > $i ).
thf(func_def_376,type,
sK262: $i > ( $i > $o ) > $i ).
thf(func_def_377,type,
sK263: ( $i > $o ) > $i > $i ).
thf(func_def_378,type,
sK264: ( $i > $o ) > $i > $i ).
thf(func_def_379,type,
sK265: ( $i > $o ) > $i ).
thf(func_def_380,type,
sK266: ( $i > $o ) > $i ).
thf(func_def_381,type,
sK267: ( $i > $o ) > $i > $i ).
thf(func_def_382,type,
sK268: ( $i > $o ) > $i > $i ).
thf(func_def_383,type,
sK269: ( $i > $o ) > $i ).
thf(func_def_384,type,
sK270: ( $i > $o ) > $i > $i ).
thf(func_def_385,type,
sK271: ( $i > $o ) > $i > $i ).
thf(func_def_386,type,
sK272: ( $i > $o ) > $i ).
thf(func_def_387,type,
sK273: ( $i > $o ) > $i > $i ).
thf(func_def_388,type,
sK274: ( $i > $o ) > $i > $i ).
thf(func_def_389,type,
sK275: $i > ( $i > $o ) > $i ).
thf(func_def_390,type,
sK276: $i > ( $i > $o ) > $i ).
thf(func_def_391,type,
sK277: $i > ( $i > $o ) > $i ).
thf(func_def_392,type,
sK278: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_393,type,
sK279: $i > ( $i > $o ) > $i ).
thf(func_def_394,type,
sK280: $i > $i ).
thf(func_def_395,type,
sK281: ( $i > $o ) > $i ).
thf(func_def_396,type,
sK282: ( $i > $o ) > $i ).
thf(func_def_397,type,
sK283: ( $i > $o ) > $i ).
thf(func_def_398,type,
sK284: ( $i > $o ) > $i > $i ).
thf(func_def_399,type,
sK285: $i > ( $i > $o ) > $i ).
thf(func_def_400,type,
sK286: ( $i > $o ) > $i ).
thf(func_def_401,type,
sK287: ( $i > $o ) > $i > $i ).
thf(func_def_402,type,
sK288: ( $i > $o ) > $i > $i ).
thf(func_def_403,type,
sK289: ( $i > $o ) > $i ).
thf(func_def_404,type,
sK290: ( $i > $o ) > $i > $i ).
thf(func_def_405,type,
sK291: ( $i > $o ) > $i > $i ).
thf(func_def_406,type,
sK292: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_407,type,
sK293: ( $i > $o ) > $i ).
thf(func_def_408,type,
sK294: ( $i > $o ) > $i ).
thf(func_def_409,type,
ph295:
!>[X0: $tType] : X0 ).
thf(func_def_410,type,
sK296: $i > $i ).
thf(func_def_411,type,
sK297: $i > $i ).
thf(func_def_412,type,
sK298: $i > $i ).
thf(func_def_413,type,
sK299: $i > $i ).
thf(func_def_415,type,
sK301: $i > $i ).
thf(func_def_416,type,
sK302: $i > $i ).
thf(func_def_417,type,
sK303: $i > $i ).
thf(func_def_418,type,
sK304: $i > $i ).
thf(func_def_419,type,
sK305: $i > $i ).
thf(func_def_420,type,
sK306: $i > $i ).
thf(f22292,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f22291,f1091]) ).
thf(f1091,plain,
( ( subset @ sK167 @ sK166 )
!= $true ),
inference(cnf_transformation,[status(thm)],[f671]) ).
thf(f671,plain,
( ( noeltsimpempty = $true )
& ( emptysetsubset = $true )
& ( inCongP = $true )
& ( setoftrueEq = $true )
& ( subPowSU = $true )
& ( emptyset__Cong = $true )
& ( descrp = $true )
& ( omegaIndAx = $true )
& ( setext = $true )
& ( exuI3 = $true )
& ( powersetAx = $true )
& ( setunionI = $true )
& ( subsetE2 = $true )
& ( wellorderingAx = $true )
& ( exuE3u = $true )
& ( prop2set2propI = $true )
& ( emptyE1 = $true )
& ( powersetI = $true )
& ( notdexE = $true )
& ( exuE2 = $true )
& ( setunion__Cong = $true )
& ( upairsetIR = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( dsetconstrI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( powerset__Cong = $true )
& ( subsetE = $true )
& ( exu__Cong = $true )
& ( powersetE = $true )
& ( notinsingleton = $true )
& ( foundationAx = $true )
& ( notequalI2 = $true )
& ( nonemptyImpWitness = $true )
& ( upairsetIL = $true )
& ( setbeta = $true )
& ( emptyI = $true )
& ( omega0Ax = $true )
& ( nonemptyE1 = $true )
& ( subsetI2 = $true )
& ( setextAx = $true )
& ( eqinunit = $true )
& ( setunionAx = $true )
& ( notequalI1 = $true )
& ( uniqinunit = $true )
& ( exuEu = $true )
& ( ( subset @ sK167 @ sK166 )
!= $true )
& ( ( subset @ sK168 @ sK166 )
= $true )
& ( ( subset @ sK167 @ sK168 )
= $true )
& ( setunionE = $true )
& ( emptysetimpfalse = $true )
& ( dsetconstrER = $true )
& ( subsetI1 = $true )
& ( singletonsswitch = $true )
& ( omegaSAx = $true )
& ( nonemptyI1 = $true )
& ( emptyInPowerset = $true )
& ( setadjoinE = $true )
& ( quantDeMorgan1 = $true )
& ( emptyinunitempty = $true )
& ( quantDeMorgan3 = $true )
& ( setadjoinIR = $true )
& ( eqimpsubset1 = $true )
& ( exuE1 = $true )
& ( dsetconstrEL = $true )
& ( quantDeMorgan2 = $true )
& ( notdallE = $true )
& ( emptyinPowerset = $true )
& ( setadjoinIL = $true )
& ( eqimpsubset2 = $true )
& ( in__Cong = $true )
& ( subsetRefl = $true )
& ( setadjoin__Cong = $true )
& ( emptysetAx = $true )
& ( setadjoinOr = $true )
& ( exuI2 = $true )
& ( emptysetE = $true )
& ( descr__Cong = $true )
& ( setadjoinAx = $true )
& ( prop2setE = $true )
& ( notinemptyset = $true )
& ( exuI1 = $true )
& ( vacuousDall = $true )
& ( upairsetE = $true )
& ( exuE3e = $true )
& ( notsubsetI = $true )
& ( dsetconstr__Cong = $true )
& ( nonemptyI = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK166,sK167,sK168])],[f346,f670]) ).
thf(f670,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
& ( ( subset @ X2 @ X0 )
= $true )
& ( ( subset @ X1 @ X2 )
= $true ) )
=> ( ( ( subset @ sK167 @ sK166 )
!= $true )
& ( ( subset @ sK168 @ sK166 )
= $true )
& ( ( subset @ sK167 @ sK168 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f346,plain,
( ( noeltsimpempty = $true )
& ( emptysetsubset = $true )
& ( inCongP = $true )
& ( setoftrueEq = $true )
& ( subPowSU = $true )
& ( emptyset__Cong = $true )
& ( descrp = $true )
& ( omegaIndAx = $true )
& ( setext = $true )
& ( exuI3 = $true )
& ( powersetAx = $true )
& ( setunionI = $true )
& ( subsetE2 = $true )
& ( wellorderingAx = $true )
& ( exuE3u = $true )
& ( prop2set2propI = $true )
& ( emptyE1 = $true )
& ( powersetI = $true )
& ( notdexE = $true )
& ( exuE2 = $true )
& ( setunion__Cong = $true )
& ( upairsetIR = $true )
& ( replAx = $true )
& ( omega__Cong = $true )
& ( dsetconstrI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( powerset__Cong = $true )
& ( subsetE = $true )
& ( exu__Cong = $true )
& ( powersetE = $true )
& ( notinsingleton = $true )
& ( foundationAx = $true )
& ( notequalI2 = $true )
& ( nonemptyImpWitness = $true )
& ( upairsetIL = $true )
& ( setbeta = $true )
& ( emptyI = $true )
& ( omega0Ax = $true )
& ( nonemptyE1 = $true )
& ( subsetI2 = $true )
& ( setextAx = $true )
& ( eqinunit = $true )
& ( setunionAx = $true )
& ( notequalI1 = $true )
& ( uniqinunit = $true )
& ( exuEu = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
& ( ( subset @ X2 @ X0 )
= $true )
& ( ( subset @ X1 @ X2 )
= $true ) )
& ( setunionE = $true )
& ( emptysetimpfalse = $true )
& ( dsetconstrER = $true )
& ( subsetI1 = $true )
& ( singletonsswitch = $true )
& ( omegaSAx = $true )
& ( nonemptyI1 = $true )
& ( emptyInPowerset = $true )
& ( setadjoinE = $true )
& ( quantDeMorgan1 = $true )
& ( emptyinunitempty = $true )
& ( quantDeMorgan3 = $true )
& ( setadjoinIR = $true )
& ( eqimpsubset1 = $true )
& ( exuE1 = $true )
& ( dsetconstrEL = $true )
& ( quantDeMorgan2 = $true )
& ( notdallE = $true )
& ( emptyinPowerset = $true )
& ( setadjoinIL = $true )
& ( eqimpsubset2 = $true )
& ( in__Cong = $true )
& ( subsetRefl = $true )
& ( setadjoin__Cong = $true )
& ( emptysetAx = $true )
& ( setadjoinOr = $true )
& ( exuI2 = $true )
& ( emptysetE = $true )
& ( descr__Cong = $true )
& ( setadjoinAx = $true )
& ( prop2setE = $true )
& ( notinemptyset = $true )
& ( exuI1 = $true )
& ( vacuousDall = $true )
& ( upairsetE = $true )
& ( exuE3e = $true )
& ( notsubsetI = $true )
& ( dsetconstr__Cong = $true )
& ( nonemptyI = $true ) ),
inference(flattening,[status(thm)],[f345]) ).
thf(f345,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X0 )
!= $true )
& ( ( subset @ X2 @ X0 )
= $true )
& ( ( subset @ X1 @ X2 )
= $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)],[f221]) ).
thf(f221,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 )
=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X1 @ X2 )
= $true )
=> ( ( ( subset @ X2 @ X0 )
= $true )
=> ( ( subset @ X1 @ X0 )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f220]) ).
thf(f220,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
=> ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X1 @ X2 )
=> ( ( subset @ X2 @ X0 )
=> ( subset @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f90]) ).
thf(f90,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
=> ! [X5: $i,X3: $i,X4: $i] :
( ( subset @ X3 @ X4 )
=> ( ( subset @ X4 @ X5 )
=> ( subset @ X3 @ X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f89]) ).
thf(f89,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
=> ! [X5: $i,X3: $i,X4: $i] :
( ( subset @ X3 @ X4 )
=> ( ( subset @ X4 @ X5 )
=> ( subset @ X3 @ X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jziO1gB32n/DTF2THF_10864.p',subsetTrans) ).
thf(f22291,plain,
( ( subset @ sK167 @ sK166 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f22273]) ).
thf(f22273,plain,
( ( ( subset @ sK167 @ sK166 )
= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1788,f22052]) ).
thf(f22052,plain,
( ( in @ ( sK37 @ sK167 @ sK166 ) @ sK166 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f22026]) ).
thf(f22026,plain,
( ( ( in @ ( sK37 @ sK167 @ sK166 ) @ sK166 )
= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f21525,f21553]) ).
thf(f21553,plain,
( ( in @ ( sK37 @ sK167 @ sK166 ) @ sK168 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f21528]) ).
thf(f21528,plain,
( ( $true != $true )
| ( ( in @ ( sK37 @ sK167 @ sK166 ) @ sK168 )
= $true ) ),
inference(superposition,[status(thm)],[f21523,f3742]) ).
thf(f3742,plain,
( ( in @ ( sK37 @ sK167 @ sK166 ) @ sK167 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f3735]) ).
thf(f3735,plain,
( ( ( in @ ( sK37 @ sK167 @ sK166 ) @ sK167 )
= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1091,f2084]) ).
thf(f2084,plain,
! [X3: $i,X4: $i] :
( ( ( subset @ X4 @ X3 )
= $true )
| ( ( in @ ( sK37 @ X4 @ X3 ) @ X4 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f1311]) ).
thf(f1311,plain,
! [X3: $i,X4: $i] :
( ( ( subset @ X4 @ X3 )
= $true )
| ( ( in @ ( sK37 @ X4 @ X3 ) @ X4 )
= $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f859,f1098]) ).
thf(f1098,plain,
subsetI2 = $true,
inference(cnf_transformation,[status(thm)],[f671]) ).
thf(f859,plain,
! [X3: $i,X4: $i] :
( ( ( in @ ( sK37 @ X4 @ X3 ) @ X4 )
= $true )
| ( ( subset @ X4 @ X3 )
= $true )
| ( subsetI2 != $true ) ),
inference(cnf_transformation,[status(thm)],[f441]) ).
thf(f441,plain,
( ( ( subsetI2 = $true )
| ( ! [X2: $i] :
( ( ( in @ X2 @ sK35 )
= $true )
| ( $true
!= ( in @ X2 @ sK36 ) ) )
& ( ( subset @ sK36 @ sK35 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i] :
( ( ( ( in @ ( sK37 @ X4 @ X3 ) @ X3 )
!= $true )
& ( ( in @ ( sK37 @ X4 @ X3 ) @ X4 )
= $true ) )
| ( ( subset @ X4 @ X3 )
= $true ) )
| ( subsetI2 != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36,sK37])],[f438,f440,f439]) ).
thf(f439,plain,
( ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ X1 )
!= $true ) )
& ( ( subset @ X1 @ X0 )
!= $true ) )
=> ( ! [X2: $i] :
( ( ( in @ X2 @ sK35 )
= $true )
| ( $true
!= ( in @ X2 @ sK36 ) ) )
& ( ( subset @ sK36 @ sK35 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f440,plain,
! [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( ( in @ X5 @ X3 )
!= $true )
& ( ( in @ X5 @ X4 )
= $true ) )
=> ( ( ( in @ ( sK37 @ X4 @ X3 ) @ X3 )
!= $true )
& ( ( in @ ( sK37 @ X4 @ X3 ) @ X4 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f438,plain,
( ( ( subsetI2 = $true )
| ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ X1 )
!= $true ) )
& ( ( subset @ X1 @ X0 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( ( in @ X5 @ X3 )
!= $true )
& ( ( in @ X5 @ X4 )
= $true ) )
| ( ( subset @ X4 @ X3 )
= $true ) )
| ( subsetI2 != $true ) ) ),
inference(rectify,[status(thm)],[f437]) ).
thf(f437,plain,
( ( ( subsetI2 = $true )
| ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ X1 )
!= $true ) )
& ( ( subset @ X1 @ X0 )
!= $true ) ) )
& ( ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( ( in @ X2 @ X1 )
= $true ) )
| ( ( subset @ X1 @ X0 )
= $true ) )
| ( subsetI2 != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f365]) ).
thf(f365,plain,
( ( subsetI2 = $true )
<=> ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( ( in @ X2 @ X1 )
= $true ) )
| ( ( subset @ X1 @ X0 )
= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f227]) ).
thf(f227,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
=> ( ( in @ X2 @ X0 )
= $true ) )
=> ( ( subset @ X1 @ X0 )
= $true ) )
<=> ( subsetI2 = $true ) ),
inference(fool_elimination,[status(thm)],[f226]) ).
thf(f226,plain,
! [X0: $i,X1: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( subset @ X1 @ X0 ) )
= subsetI2 ),
inference(rectify,[status(thm)],[f81]) ).
thf(f81,axiom,
! [X4: $i,X3: $i] :
( ( ! [X1: $i] :
( ( in @ X1 @ X3 )
=> ( in @ X1 @ X4 ) )
=> ( subset @ X3 @ X4 ) )
= subsetI2 ),
file('/export/starexec/sandbox2/tmp/tmp.jziO1gB32n/DTF2THF_10864.p',subsetI2) ).
thf(f21523,plain,
! [X0: $i] :
( ( ( in @ X0 @ sK167 )
!= $true )
| ( ( in @ X0 @ sK168 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f21511]) ).
thf(f21511,plain,
! [X0: $i] :
( ( ( in @ X0 @ sK167 )
!= $true )
| ( $true != $true )
| ( ( in @ X0 @ sK168 )
= $true ) ),
inference(superposition,[status(thm)],[f2013,f1089]) ).
thf(f1089,plain,
( ( subset @ sK167 @ sK168 )
= $true ),
inference(cnf_transformation,[status(thm)],[f671]) ).
thf(f2013,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f1383]) ).
thf(f1383,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f939,f1052]) ).
thf(f1052,plain,
notsubsetI = $true,
inference(cnf_transformation,[status(thm)],[f671]) ).
thf(f939,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true )
| ( notsubsetI != $true ) ),
inference(cnf_transformation,[status(thm)],[f537]) ).
thf(f537,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true ) )
| ( notsubsetI != $true ) )
& ( ( notsubsetI = $true )
| ( ( ( in @ sK92 @ sK90 )
= $true )
& ( ( subset @ sK90 @ sK91 )
= $true )
& ( ( in @ sK92 @ sK91 )
!= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90,sK91,sK92])],[f535,f536]) ).
thf(f536,plain,
( ? [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X5 @ X3 )
= $true )
& ( ( subset @ X3 @ X4 )
= $true )
& ( ( in @ X5 @ X4 )
!= $true ) )
=> ( ( ( in @ sK92 @ sK90 )
= $true )
& ( ( subset @ sK90 @ sK91 )
= $true )
& ( ( in @ sK92 @ sK91 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f535,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true ) )
| ( notsubsetI != $true ) )
& ( ( notsubsetI = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X5 @ X3 )
= $true )
& ( ( subset @ X3 @ X4 )
= $true )
& ( ( in @ X5 @ X4 )
!= $true ) ) ) ),
inference(rectify,[status(thm)],[f534]) ).
thf(f534,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true ) )
| ( notsubsetI != $true ) )
& ( ( notsubsetI = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
& ( ( subset @ X0 @ X1 )
= $true )
& ( ( in @ X2 @ X1 )
!= $true ) ) ) ),
inference(nnf_transformation,[status(thm)],[f296]) ).
thf(f296,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
| ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true ) )
<=> ( notsubsetI = $true ) ),
inference(flattening,[status(thm)],[f295]) ).
thf(f295,plain,
( ( notsubsetI = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ X0 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f271]) ).
thf(f271,plain,
( ( notsubsetI = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( ( in @ X2 @ X1 )
!= $true )
=> ( ( subset @ X0 @ X1 )
!= $true ) ) ) ),
inference(flattening,[status(thm)],[f154]) ).
thf(f154,plain,
( ( notsubsetI = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( ( in @ X2 @ X1 )
!= $true )
=> ( ( subset @ X0 @ X1 )
!= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f153]) ).
thf(f153,plain,
( notsubsetI
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ~ ( in @ X2 @ X1 )
=> ~ ( subset @ X0 @ X1 ) ) ) ) ),
inference(rectify,[status(thm)],[f85]) ).
thf(f85,axiom,
( notsubsetI
= ( ! [X3: $i,X4: $i,X1: $i] :
( ( in @ X1 @ X3 )
=> ( ~ ( in @ X1 @ X4 )
=> ~ ( subset @ X3 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jziO1gB32n/DTF2THF_10864.p',notsubsetI) ).
thf(f21525,plain,
! [X0: $i] :
( ( ( in @ X0 @ sK168 )
!= $true )
| ( ( in @ X0 @ sK166 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f21510]) ).
thf(f21510,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( in @ X0 @ sK168 )
!= $true )
| ( ( in @ X0 @ sK166 )
= $true ) ),
inference(superposition,[status(thm)],[f2013,f1090]) ).
thf(f1090,plain,
( ( subset @ sK168 @ sK166 )
= $true ),
inference(cnf_transformation,[status(thm)],[f671]) ).
thf(f1788,plain,
! [X3: $i,X4: $i] :
( ( ( in @ ( sK37 @ X4 @ X3 ) @ X3 )
!= $true )
| ( ( subset @ X4 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f1310]) ).
thf(f1310,plain,
! [X3: $i,X4: $i] :
( ( $true != $true )
| ( ( subset @ X4 @ X3 )
= $true )
| ( ( in @ ( sK37 @ X4 @ X3 ) @ X3 )
!= $true ) ),
inference(definition_unfolding,[status(thm)],[f860,f1098]) ).
thf(f860,plain,
! [X3: $i,X4: $i] :
( ( ( in @ ( sK37 @ X4 @ X3 ) @ X3 )
!= $true )
| ( ( subset @ X4 @ X3 )
= $true )
| ( subsetI2 != $true ) ),
inference(cnf_transformation,[status(thm)],[f441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU570^1 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.35 % Computer : n017.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Feb 24 12:25:41 EST 2026
% 0.17/0.36 % CPUTime :
% 0.17/0.36 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.46 ---- Original DTF file ---
% 0.28/0.46 thf(spec,logic,$$dhol).
% 0.28/0.46 %------------------------------------------------------------------------------
% 0.28/0.46 % File : SEU570^1 : TPTP v9.2.1. Released v3.7.0.
% 0.28/0.46 % Domain : Set Theory
% 0.28/0.46 % Problem : Preliminary Notions - Relations on Sets - Subsets
% 0.28/0.46 % Version : Especial.
% 0.28/0.46 % English : (! A:i.! B:i.! C:i.subset A B -> subset B C -> subset A C)
% 0.28/0.46
% 0.28/0.46 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.28/0.46 % Source : [Bro08]
% 0.28/0.46 % Names : ZFC072g [Bro08]
% 0.28/0.46
% 0.28/0.46 % Status : Theorem
% 0.28/0.46 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.30 v8.2.0, 0.31 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.43 v6.1.0, 0.71 v6.0.0, 0.43 v5.5.0, 0.50 v5.4.0, 0.80 v4.1.0, 1.00 v3.7.0
% 0.28/0.46 % Syntax : Number of formulae : 190 ( 88 unt; 101 typ; 88 def)
% 0.28/0.46 % Number of atoms : 483 ( 135 equ; 0 cnn)
% 0.28/0.46 % Maximal formula atoms : 89 ( 5 avg)
% 0.28/0.46 % Number of connectives : 767 ( 29 ~; 5 |; 27 &; 470 @)
% 0.28/0.46 % ( 14 <=>; 222 =>; 0 <=; 0 <~>)
% 0.28/0.46 % Maximal formula depth : 94 ( 2 avg)
% 0.28/0.46 % Number of types : 2 ( 0 usr)
% 0.28/0.46 % Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% 0.28/0.46 % Number of symbols : 104 ( 101 usr; 90 con; 0-2 aty)
% 0.28/0.46 % Number of variables : 271 ( 28 ^; 215 !; 28 ?; 271 :)
% 0.28/0.46 % SPC : TH0_THM_EQU_NAR
% 0.28/0.46
% 0.28/0.46 % Comments : http://mathgate.info/detsetitem.php?id=477
% 0.28/0.46 %------------------------------------------------------------------------------
% 0.28/0.46 thf(in_type,type,
% 0.28/0.46 in: $i > $i > $o ).
% 0.28/0.46
% 0.28/0.46 thf(exu_type,type,
% 0.28/0.46 exu: ( $i > $o ) > $o ).
% 0.28/0.46
% 0.28/0.46 thf(exu,definition,
% 0.28/0.46 ( exu
% 0.28/0.46 = ( ^ [Xphi: $i > $o] :
% 0.28/0.46 ? [Xx: $i] :
% 0.28/0.46 ( ( Xphi @ Xx )
% 0.28/0.46 & ! [Xy: $i] :
% 0.28/0.46 ( ( Xphi @ Xy )
% 0.28/0.46 => ( Xx = Xy ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setextAx_type,type,
% 0.28/0.46 setextAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setextAx,definition,
% 0.28/0.46 ( setextAx
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 <=> ( in @ Xx @ B ) )
% 0.28/0.46 => ( A = B ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptyset_type,type,
% 0.28/0.46 emptyset: $i ).
% 0.28/0.46
% 0.28/0.46 thf(emptysetAx_type,type,
% 0.28/0.46 emptysetAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptysetAx,definition,
% 0.28/0.46 ( emptysetAx
% 0.28/0.46 = ( ! [Xx: $i] :
% 0.28/0.46 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoin_type,type,
% 0.28/0.46 setadjoin: $i > $i > $i ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinAx_type,type,
% 0.28/0.46 setadjoinAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinAx,definition,
% 0.28/0.46 ( setadjoinAx
% 0.28/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.28/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.28/0.46 <=> ( ( Xy = Xx )
% 0.28/0.46 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(powerset_type,type,
% 0.28/0.46 powerset: $i > $i ).
% 0.28/0.46
% 0.28/0.46 thf(powersetAx_type,type,
% 0.28/0.46 powersetAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(powersetAx,definition,
% 0.28/0.46 ( powersetAx
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ( in @ B @ ( powerset @ A ) )
% 0.28/0.46 <=> ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ B )
% 0.28/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setunion_type,type,
% 0.28/0.46 setunion: $i > $i ).
% 0.28/0.46
% 0.28/0.46 thf(setunionAx_type,type,
% 0.28/0.46 setunionAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setunionAx,definition,
% 0.28/0.46 ( setunionAx
% 0.28/0.46 = ( ! [A: $i,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ ( setunion @ A ) )
% 0.28/0.46 <=> ? [B: $i] :
% 0.28/0.46 ( ( in @ Xx @ B )
% 0.28/0.46 & ( in @ B @ A ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(omega_type,type,
% 0.28/0.46 omega: $i ).
% 0.28/0.46
% 0.28/0.46 thf(omega0Ax_type,type,
% 0.28/0.46 omega0Ax: $o ).
% 0.28/0.46
% 0.28/0.46 thf(omega0Ax,definition,
% 0.28/0.46 ( omega0Ax
% 0.28/0.46 = ( in @ emptyset @ omega ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(omegaSAx_type,type,
% 0.28/0.46 omegaSAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(omegaSAx,definition,
% 0.28/0.46 ( omegaSAx
% 0.28/0.46 = ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ omega )
% 0.28/0.46 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(omegaIndAx_type,type,
% 0.28/0.46 omegaIndAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(omegaIndAx,definition,
% 0.28/0.46 ( omegaIndAx
% 0.28/0.46 = ( ! [A: $i] :
% 0.28/0.46 ( ( ( in @ emptyset @ A )
% 0.28/0.46 & ! [Xx: $i] :
% 0.28/0.46 ( ( ( in @ Xx @ omega )
% 0.28/0.46 & ( in @ Xx @ A ) )
% 0.28/0.46 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.28/0.46 => ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ omega )
% 0.28/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(replAx_type,type,
% 0.28/0.46 replAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(replAx,definition,
% 0.28/0.46 ( replAx
% 0.28/0.46 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( exu
% 0.28/0.46 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.28/0.46 => ? [B: $i] :
% 0.28/0.46 ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ B )
% 0.28/0.46 <=> ? [Xy: $i] :
% 0.28/0.46 ( ( in @ Xy @ A )
% 0.28/0.46 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(foundationAx_type,type,
% 0.28/0.46 foundationAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(foundationAx,definition,
% 0.28/0.46 ( foundationAx
% 0.28/0.46 = ( ! [A: $i] :
% 0.28/0.46 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.28/0.46 => ? [B: $i] :
% 0.28/0.46 ( ( in @ B @ A )
% 0.28/0.46 & ~ ? [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ B )
% 0.28/0.46 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(wellorderingAx_type,type,
% 0.28/0.46 wellorderingAx: $o ).
% 0.28/0.46
% 0.28/0.46 thf(wellorderingAx,definition,
% 0.28/0.46 ( wellorderingAx
% 0.28/0.46 = ( ! [A: $i] :
% 0.28/0.46 ? [B: $i] :
% 0.28/0.46 ( ! [C: $i] :
% 0.28/0.46 ( ( in @ C @ B )
% 0.28/0.46 => ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ C )
% 0.28/0.46 => ( in @ Xx @ A ) ) )
% 0.28/0.46 & ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( ( in @ Xx @ A )
% 0.28/0.46 & ( in @ Xy @ A ) )
% 0.28/0.46 => ( ! [C: $i] :
% 0.28/0.46 ( ( in @ C @ B )
% 0.28/0.46 => ( ( in @ Xx @ C )
% 0.28/0.46 <=> ( in @ Xy @ C ) ) )
% 0.28/0.46 => ( Xx = Xy ) ) )
% 0.28/0.46 & ! [C: $i,D: $i] :
% 0.28/0.46 ( ( ( in @ C @ B )
% 0.28/0.46 & ( in @ D @ B ) )
% 0.28/0.46 => ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ C )
% 0.28/0.46 => ( in @ Xx @ D ) )
% 0.28/0.46 | ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ D )
% 0.28/0.46 => ( in @ Xx @ C ) ) ) )
% 0.28/0.46 & ! [C: $i] :
% 0.28/0.46 ( ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ C )
% 0.28/0.46 => ( in @ Xx @ A ) )
% 0.28/0.46 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.28/0.46 => ? [D: $i,Xx: $i] :
% 0.28/0.46 ( ( in @ D @ B )
% 0.28/0.46 & ( in @ Xx @ C )
% 0.28/0.46 & ~ ? [Xy: $i] :
% 0.28/0.46 ( ( in @ Xy @ D )
% 0.28/0.46 & ( in @ Xy @ C ) )
% 0.28/0.46 & ! [E: $i] :
% 0.28/0.46 ( ( in @ E @ B )
% 0.28/0.46 => ( ! [Xy: $i] :
% 0.28/0.46 ( ( in @ Xy @ E )
% 0.28/0.46 => ( in @ Xy @ D ) )
% 0.28/0.46 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(descr_type,type,
% 0.28/0.46 descr: ( $i > $o ) > $i ).
% 0.28/0.46
% 0.28/0.46 thf(descrp_type,type,
% 0.28/0.46 descrp: $o ).
% 0.28/0.46
% 0.28/0.46 thf(descrp,definition,
% 0.28/0.46 ( descrp
% 0.28/0.46 = ( ! [Xphi: $i > $o] :
% 0.28/0.46 ( ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 => ( Xphi
% 0.28/0.46 @ ( descr
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(dsetconstr_type,type,
% 0.28/0.46 dsetconstr: $i > ( $i > $o ) > $i ).
% 0.28/0.46
% 0.28/0.46 thf(dsetconstrI_type,type,
% 0.28/0.46 dsetconstrI: $o ).
% 0.28/0.46
% 0.28/0.46 thf(dsetconstrI,definition,
% 0.28/0.46 ( dsetconstrI
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( ( Xphi @ Xx )
% 0.28/0.46 => ( in @ Xx
% 0.28/0.46 @ ( dsetconstr @ A
% 0.28/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(dsetconstrEL_type,type,
% 0.28/0.46 dsetconstrEL: $o ).
% 0.28/0.46
% 0.28/0.46 thf(dsetconstrEL,definition,
% 0.28/0.46 ( dsetconstrEL
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx
% 0.28/0.46 @ ( dsetconstr @ A
% 0.28/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.28/0.46 => ( in @ Xx @ A ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(dsetconstrER_type,type,
% 0.28/0.46 dsetconstrER: $o ).
% 0.28/0.46
% 0.28/0.46 thf(dsetconstrER,definition,
% 0.28/0.46 ( dsetconstrER
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx
% 0.28/0.46 @ ( dsetconstr @ A
% 0.28/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.28/0.46 => ( Xphi @ Xx ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(exuE1_type,type,
% 0.28/0.46 exuE1: $o ).
% 0.28/0.46
% 0.28/0.46 thf(exuE1,definition,
% 0.28/0.46 ( exuE1
% 0.28/0.46 = ( ! [Xphi: $i > $o] :
% 0.28/0.46 ( ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 => ? [Xx: $i] :
% 0.28/0.46 ( ( Xphi @ Xx )
% 0.28/0.46 & ! [Xy: $i] :
% 0.28/0.46 ( ( Xphi @ Xy )
% 0.28/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(prop2set_type,type,
% 0.28/0.46 prop2set: $o > $i ).
% 0.28/0.46
% 0.28/0.46 thf(prop2setE_type,type,
% 0.28/0.46 prop2setE: $o ).
% 0.28/0.46
% 0.28/0.46 thf(prop2setE,definition,
% 0.28/0.46 ( prop2setE
% 0.28/0.46 = ( ! [Xphi: $o,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.28/0.46 => Xphi ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptysetE_type,type,
% 0.28/0.46 emptysetE: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptysetE,definition,
% 0.28/0.46 ( emptysetE
% 0.28/0.46 = ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ emptyset )
% 0.28/0.46 => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptysetimpfalse_type,type,
% 0.28/0.46 emptysetimpfalse: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptysetimpfalse,definition,
% 0.28/0.46 ( emptysetimpfalse
% 0.28/0.46 = ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ emptyset )
% 0.28/0.46 => $false ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(notinemptyset_type,type,
% 0.28/0.46 notinemptyset: $o ).
% 0.28/0.46
% 0.28/0.46 thf(notinemptyset,definition,
% 0.28/0.46 ( notinemptyset
% 0.28/0.46 = ( ! [Xx: $i] :
% 0.28/0.46 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(exuE3e_type,type,
% 0.28/0.46 exuE3e: $o ).
% 0.28/0.46
% 0.28/0.46 thf(exuE3e,definition,
% 0.28/0.46 ( exuE3e
% 0.28/0.46 = ( ! [Xphi: $i > $o] :
% 0.28/0.46 ( ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setext_type,type,
% 0.28/0.46 setext: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setext,definition,
% 0.28/0.46 ( setext
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( in @ Xx @ B ) )
% 0.28/0.46 => ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ B )
% 0.28/0.46 => ( in @ Xx @ A ) )
% 0.28/0.46 => ( A = B ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptyI_type,type,
% 0.28/0.46 emptyI: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptyI,definition,
% 0.28/0.46 ( emptyI
% 0.28/0.46 = ( ! [A: $i] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ~ ( in @ Xx @ A )
% 0.28/0.46 => ( A = emptyset ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(noeltsimpempty_type,type,
% 0.28/0.46 noeltsimpempty: $o ).
% 0.28/0.46
% 0.28/0.46 thf(noeltsimpempty,definition,
% 0.28/0.46 ( noeltsimpempty
% 0.28/0.46 = ( ! [A: $i] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ~ ( in @ Xx @ A )
% 0.28/0.46 => ( A = emptyset ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setbeta_type,type,
% 0.28/0.46 setbeta: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setbeta,definition,
% 0.28/0.46 ( setbeta
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( ( in @ Xx
% 0.28/0.46 @ ( dsetconstr @ A
% 0.28/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.28/0.46 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(nonempty_type,type,
% 0.28/0.46 nonempty: $i > $o ).
% 0.28/0.46
% 0.28/0.46 thf(nonempty,definition,
% 0.28/0.46 ( nonempty
% 0.28/0.46 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(nonemptyE1_type,type,
% 0.28/0.46 nonemptyE1: $o ).
% 0.28/0.46
% 0.28/0.46 thf(nonemptyE1,definition,
% 0.28/0.46 ( nonemptyE1
% 0.28/0.46 = ( ! [A: $i] :
% 0.28/0.46 ( ( nonempty @ A )
% 0.28/0.46 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(nonemptyI_type,type,
% 0.28/0.46 nonemptyI: $o ).
% 0.28/0.46
% 0.28/0.46 thf(nonemptyI,definition,
% 0.28/0.46 ( nonemptyI
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( ( Xphi @ Xx )
% 0.28/0.46 => ( nonempty
% 0.28/0.46 @ ( dsetconstr @ A
% 0.28/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(nonemptyI1_type,type,
% 0.28/0.46 nonemptyI1: $o ).
% 0.28/0.46
% 0.28/0.46 thf(nonemptyI1,definition,
% 0.28/0.46 ( nonemptyI1
% 0.28/0.46 = ( ! [A: $i] :
% 0.28/0.46 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.28/0.46 => ( nonempty @ A ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinIL_type,type,
% 0.28/0.46 setadjoinIL: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinIL,definition,
% 0.28/0.46 ( setadjoinIL
% 0.28/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptyinunitempty_type,type,
% 0.28/0.46 emptyinunitempty: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptyinunitempty,definition,
% 0.28/0.46 ( emptyinunitempty
% 0.28/0.46 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinIR_type,type,
% 0.28/0.46 setadjoinIR: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinIR,definition,
% 0.28/0.46 ( setadjoinIR
% 0.28/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.28/0.46 ( ( in @ Xy @ A )
% 0.28/0.46 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinE_type,type,
% 0.28/0.46 setadjoinE: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinE,definition,
% 0.28/0.46 ( setadjoinE
% 0.28/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.28/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.28/0.46 => ! [Xphi: $o] :
% 0.28/0.46 ( ( ( Xy = Xx )
% 0.28/0.46 => Xphi )
% 0.28/0.46 => ( ( ( in @ Xy @ A )
% 0.28/0.46 => Xphi )
% 0.28/0.46 => Xphi ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinOr_type,type,
% 0.28/0.46 setadjoinOr: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoinOr,definition,
% 0.28/0.46 ( setadjoinOr
% 0.28/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.28/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.28/0.46 => ( ( Xy = Xx )
% 0.28/0.46 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setoftrueEq_type,type,
% 0.28/0.46 setoftrueEq: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setoftrueEq,definition,
% 0.28/0.46 ( setoftrueEq
% 0.28/0.46 = ( ! [A: $i] :
% 0.28/0.46 ( ( dsetconstr @ A
% 0.28/0.46 @ ^ [Xx: $i] : $true )
% 0.28/0.46 = A ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(powersetI_type,type,
% 0.28/0.46 powersetI: $o ).
% 0.28/0.46
% 0.28/0.46 thf(powersetI,definition,
% 0.28/0.46 ( powersetI
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ B )
% 0.28/0.46 => ( in @ Xx @ A ) )
% 0.28/0.46 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptyinPowerset_type,type,
% 0.28/0.46 emptyinPowerset: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptyinPowerset,definition,
% 0.28/0.46 ( emptyinPowerset
% 0.28/0.46 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptyInPowerset_type,type,
% 0.28/0.46 emptyInPowerset: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptyInPowerset,definition,
% 0.28/0.46 ( emptyInPowerset
% 0.28/0.46 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(powersetE_type,type,
% 0.28/0.46 powersetE: $o ).
% 0.28/0.46
% 0.28/0.46 thf(powersetE,definition,
% 0.28/0.46 ( powersetE
% 0.28/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.28/0.46 ( ( in @ B @ ( powerset @ A ) )
% 0.28/0.46 => ( ( in @ Xx @ B )
% 0.28/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setunionI_type,type,
% 0.28/0.46 setunionI: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setunionI,definition,
% 0.28/0.46 ( setunionI
% 0.28/0.46 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.28/0.46 ( ( in @ Xx @ B )
% 0.28/0.46 => ( ( in @ B @ A )
% 0.28/0.46 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setunionE_type,type,
% 0.28/0.46 setunionE: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setunionE,definition,
% 0.28/0.46 ( setunionE
% 0.28/0.46 = ( ! [A: $i,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ ( setunion @ A ) )
% 0.28/0.46 => ! [Xphi: $o] :
% 0.28/0.46 ( ! [B: $i] :
% 0.28/0.46 ( ( in @ Xx @ B )
% 0.28/0.46 => ( ( in @ B @ A )
% 0.28/0.46 => Xphi ) )
% 0.28/0.46 => Xphi ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(subPowSU_type,type,
% 0.28/0.46 subPowSU: $o ).
% 0.28/0.46
% 0.28/0.46 thf(subPowSU,definition,
% 0.28/0.46 ( subPowSU
% 0.28/0.46 = ( ! [A: $i,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(exuE2_type,type,
% 0.28/0.46 exuE2: $o ).
% 0.28/0.46
% 0.28/0.46 thf(exuE2,definition,
% 0.28/0.46 ( exuE2
% 0.28/0.46 = ( ! [Xphi: $i > $o] :
% 0.28/0.46 ( ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 => ? [Xx: $i] :
% 0.28/0.46 ! [Xy: $i] :
% 0.28/0.46 ( ( Xphi @ Xy )
% 0.28/0.46 <=> ( Xy = Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(nonemptyImpWitness_type,type,
% 0.28/0.46 nonemptyImpWitness: $o ).
% 0.28/0.46
% 0.28/0.46 thf(nonemptyImpWitness,definition,
% 0.28/0.46 ( nonemptyImpWitness
% 0.28/0.46 = ( ! [A: $i] :
% 0.28/0.46 ( ( nonempty @ A )
% 0.28/0.46 => ? [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 & $true ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(uniqinunit_type,type,
% 0.28/0.46 uniqinunit: $o ).
% 0.28/0.46
% 0.28/0.46 thf(uniqinunit,definition,
% 0.28/0.46 ( uniqinunit
% 0.28/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.28/0.46 => ( Xx = Xy ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(notinsingleton_type,type,
% 0.28/0.46 notinsingleton: $o ).
% 0.28/0.46
% 0.28/0.46 thf(notinsingleton,definition,
% 0.28/0.46 ( notinsingleton
% 0.28/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xx != Xy )
% 0.28/0.46 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(eqinunit_type,type,
% 0.28/0.46 eqinunit: $o ).
% 0.28/0.46
% 0.28/0.46 thf(eqinunit,definition,
% 0.28/0.46 ( eqinunit
% 0.28/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xx = Xy )
% 0.28/0.46 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(singletonsswitch_type,type,
% 0.28/0.46 singletonsswitch: $o ).
% 0.28/0.46
% 0.28/0.46 thf(singletonsswitch,definition,
% 0.28/0.46 ( singletonsswitch
% 0.28/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.28/0.46 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(upairsetE_type,type,
% 0.28/0.46 upairsetE: $o ).
% 0.28/0.46
% 0.28/0.46 thf(upairsetE,definition,
% 0.28/0.46 ( upairsetE
% 0.28/0.46 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.28/0.46 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.28/0.46 => ( ( Xz = Xx )
% 0.28/0.46 | ( Xz = Xy ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(upairsetIL_type,type,
% 0.28/0.46 upairsetIL: $o ).
% 0.28/0.46
% 0.28/0.46 thf(upairsetIL,definition,
% 0.28/0.46 ( upairsetIL
% 0.28/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(upairsetIR_type,type,
% 0.28/0.46 upairsetIR: $o ).
% 0.28/0.46
% 0.28/0.46 thf(upairsetIR,definition,
% 0.28/0.46 ( upairsetIR
% 0.28/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptyE1_type,type,
% 0.28/0.46 emptyE1: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptyE1,definition,
% 0.28/0.46 ( emptyE1
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.28/0.46 ( ? [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 & ( Xphi @ Xx ) )
% 0.28/0.46 => ( ( ( dsetconstr @ A
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 = emptyset )
% 0.28/0.46 => $false ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(vacuousDall_type,type,
% 0.28/0.46 vacuousDall: $o ).
% 0.28/0.46
% 0.28/0.46 thf(vacuousDall,definition,
% 0.28/0.46 ( vacuousDall
% 0.28/0.46 = ( ! [Xphi: $i > $o,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ emptyset )
% 0.28/0.46 => ( Xphi @ Xx ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(quantDeMorgan1_type,type,
% 0.28/0.46 quantDeMorgan1: $o ).
% 0.28/0.46
% 0.28/0.46 thf(quantDeMorgan1,definition,
% 0.28/0.46 ( quantDeMorgan1
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.28/0.46 ( ~ ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( Xphi @ Xx ) )
% 0.28/0.46 => ? [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(quantDeMorgan2_type,type,
% 0.28/0.46 quantDeMorgan2: $o ).
% 0.28/0.46
% 0.28/0.46 thf(quantDeMorgan2,definition,
% 0.28/0.46 ( quantDeMorgan2
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ~ ( Xphi @ Xx ) )
% 0.28/0.46 => ~ ? [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 & ( Xphi @ Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(quantDeMorgan3_type,type,
% 0.28/0.46 quantDeMorgan3: $o ).
% 0.28/0.46
% 0.28/0.46 thf(quantDeMorgan3,definition,
% 0.28/0.46 ( quantDeMorgan3
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.28/0.46 ( ~ ? [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 & ( Xphi @ Xx ) )
% 0.28/0.46 => ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(quantDeMorgan4_type,type,
% 0.28/0.46 quantDeMorgan4: $o ).
% 0.28/0.46
% 0.28/0.46 thf(quantDeMorgan4,definition,
% 0.28/0.46 ( quantDeMorgan4
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.28/0.46 ( ? [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 & ~ ( Xphi @ Xx ) )
% 0.28/0.46 => ~ ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( Xphi @ Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(prop2setI_type,type,
% 0.28/0.46 prop2setI: $o ).
% 0.28/0.46
% 0.28/0.46 thf(prop2setI,definition,
% 0.28/0.46 ( prop2setI
% 0.28/0.46 = ( ! [Xphi: $o] :
% 0.28/0.46 ( Xphi
% 0.28/0.46 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(set2prop_type,type,
% 0.28/0.46 set2prop: $i > $o ).
% 0.28/0.46
% 0.28/0.46 thf(prop2set2propI_type,type,
% 0.28/0.46 prop2set2propI: $o ).
% 0.28/0.46
% 0.28/0.46 thf(prop2set2propI,definition,
% 0.28/0.46 ( prop2set2propI
% 0.28/0.46 = ( ! [Xphi: $o] :
% 0.28/0.46 ( Xphi
% 0.28/0.46 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(notdexE_type,type,
% 0.28/0.46 notdexE: $o ).
% 0.28/0.46
% 0.28/0.46 thf(notdexE,definition,
% 0.28/0.46 ( notdexE
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.28/0.46 ( ~ ? [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 & ( Xphi @ Xx ) )
% 0.28/0.46 => ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(notdallE_type,type,
% 0.28/0.46 notdallE: $o ).
% 0.28/0.46
% 0.28/0.46 thf(notdallE,definition,
% 0.28/0.46 ( notdallE
% 0.28/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.28/0.46 ( ~ ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( Xphi @ Xx ) )
% 0.28/0.46 => ? [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(exuI1_type,type,
% 0.28/0.46 exuI1: $o ).
% 0.28/0.46
% 0.28/0.46 thf(exuI1,definition,
% 0.28/0.46 ( exuI1
% 0.28/0.46 = ( ! [Xphi: $i > $o] :
% 0.28/0.46 ( ? [Xx: $i] :
% 0.28/0.46 ( ( Xphi @ Xx )
% 0.28/0.46 & ! [Xy: $i] :
% 0.28/0.46 ( ( Xphi @ Xy )
% 0.28/0.46 => ( Xx = Xy ) ) )
% 0.28/0.46 => ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(exuI3_type,type,
% 0.28/0.46 exuI3: $o ).
% 0.28/0.46
% 0.28/0.46 thf(exuI3,definition,
% 0.28/0.46 ( exuI3
% 0.28/0.46 = ( ! [Xphi: $i > $o] :
% 0.28/0.46 ( ? [Xx: $i] : ( Xphi @ Xx )
% 0.28/0.46 => ( ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xphi @ Xx )
% 0.28/0.46 => ( ( Xphi @ Xy )
% 0.28/0.46 => ( Xx = Xy ) ) )
% 0.28/0.46 => ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(exuI2_type,type,
% 0.28/0.46 exuI2: $o ).
% 0.28/0.46
% 0.28/0.46 thf(exuI2,definition,
% 0.28/0.46 ( exuI2
% 0.28/0.46 = ( ! [Xphi: $i > $o] :
% 0.28/0.46 ( ? [Xx: $i] :
% 0.28/0.46 ! [Xy: $i] :
% 0.28/0.46 ( ( Xphi @ Xy )
% 0.28/0.46 <=> ( Xy = Xx ) )
% 0.28/0.46 => ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(inCongP_type,type,
% 0.28/0.46 inCongP: $o ).
% 0.28/0.46
% 0.28/0.46 thf(inCongP,definition,
% 0.28/0.46 ( inCongP
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ( A = B )
% 0.28/0.46 => ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xx = Xy )
% 0.28/0.46 => ( ( in @ Xx @ A )
% 0.28/0.46 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(in__Cong_type,type,
% 0.28/0.46 in__Cong: $o ).
% 0.28/0.46
% 0.28/0.46 thf(in__Cong,definition,
% 0.28/0.46 ( in__Cong
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ( A = B )
% 0.28/0.46 => ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xx = Xy )
% 0.28/0.46 => ( ( in @ Xx @ A )
% 0.28/0.46 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(exuE3u_type,type,
% 0.28/0.46 exuE3u: $o ).
% 0.28/0.46
% 0.28/0.46 thf(exuE3u,definition,
% 0.28/0.46 ( exuE3u
% 0.28/0.46 = ( ! [Xphi: $i > $o] :
% 0.28/0.46 ( ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 => ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xphi @ Xx )
% 0.28/0.46 => ( ( Xphi @ Xy )
% 0.28/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(exu__Cong_type,type,
% 0.28/0.46 exu__Cong: $o ).
% 0.28/0.46
% 0.28/0.46 thf(exu__Cong,definition,
% 0.28/0.46 ( exu__Cong
% 0.28/0.46 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.28/0.46 ( ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xx = Xy )
% 0.28/0.46 => ( ( Xphi @ Xx )
% 0.28/0.46 <=> ( Xpsi @ Xy ) ) )
% 0.28/0.46 => ( ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 <=> ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptyset__Cong_type,type,
% 0.28/0.46 emptyset__Cong: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptyset__Cong,definition,
% 0.28/0.46 ( emptyset__Cong
% 0.28/0.46 = ( emptyset = emptyset ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoin__Cong_type,type,
% 0.28/0.46 setadjoin__Cong: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setadjoin__Cong,definition,
% 0.28/0.46 ( setadjoin__Cong
% 0.28/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xx = Xy )
% 0.28/0.46 => ! [Xz: $i,Xu: $i] :
% 0.28/0.46 ( ( Xz = Xu )
% 0.28/0.46 => ( ( setadjoin @ Xx @ Xz )
% 0.28/0.46 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(powerset__Cong_type,type,
% 0.28/0.46 powerset__Cong: $o ).
% 0.28/0.46
% 0.28/0.46 thf(powerset__Cong,definition,
% 0.28/0.46 ( powerset__Cong
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ( A = B )
% 0.28/0.46 => ( ( powerset @ A )
% 0.28/0.46 = ( powerset @ B ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(setunion__Cong_type,type,
% 0.28/0.46 setunion__Cong: $o ).
% 0.28/0.46
% 0.28/0.46 thf(setunion__Cong,definition,
% 0.28/0.46 ( setunion__Cong
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ( A = B )
% 0.28/0.46 => ( ( setunion @ A )
% 0.28/0.46 = ( setunion @ B ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(omega__Cong_type,type,
% 0.28/0.46 omega__Cong: $o ).
% 0.28/0.46
% 0.28/0.46 thf(omega__Cong,definition,
% 0.28/0.46 ( omega__Cong
% 0.28/0.46 = ( omega = omega ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(exuEu_type,type,
% 0.28/0.46 exuEu: $o ).
% 0.28/0.46
% 0.28/0.46 thf(exuEu,definition,
% 0.28/0.46 ( exuEu
% 0.28/0.46 = ( ! [Xphi: $i > $o] :
% 0.28/0.46 ( ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 => ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xphi @ Xx )
% 0.28/0.46 => ( ( Xphi @ Xy )
% 0.28/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(descr__Cong_type,type,
% 0.28/0.46 descr__Cong: $o ).
% 0.28/0.46
% 0.28/0.46 thf(descr__Cong,definition,
% 0.28/0.46 ( descr__Cong
% 0.28/0.46 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.28/0.46 ( ! [Xx: $i,Xy: $i] :
% 0.28/0.46 ( ( Xx = Xy )
% 0.28/0.46 => ( ( Xphi @ Xx )
% 0.28/0.46 <=> ( Xpsi @ Xy ) ) )
% 0.28/0.46 => ( ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 => ( ( exu
% 0.28/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 0.28/0.46 => ( ( descr
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 = ( descr
% 0.28/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(dsetconstr__Cong_type,type,
% 0.28/0.46 dsetconstr__Cong: $o ).
% 0.28/0.46
% 0.28/0.46 thf(dsetconstr__Cong,definition,
% 0.28/0.46 ( dsetconstr__Cong
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ( A = B )
% 0.28/0.46 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ! [Xy: $i] :
% 0.28/0.46 ( ( in @ Xy @ B )
% 0.28/0.46 => ( ( Xx = Xy )
% 0.28/0.46 => ( ( Xphi @ Xx )
% 0.28/0.46 <=> ( Xpsi @ Xy ) ) ) ) )
% 0.28/0.46 => ( ( dsetconstr @ A
% 0.28/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.28/0.46 = ( dsetconstr @ B
% 0.28/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(subset_type,type,
% 0.28/0.46 subset: $i > $i > $o ).
% 0.28/0.46
% 0.28/0.46 thf(disjoint_type,type,
% 0.28/0.46 disjoint: $i > $i > $o ).
% 0.28/0.46
% 0.28/0.46 thf(setsmeet_type,type,
% 0.28/0.46 setsmeet: $i > $i > $o ).
% 0.28/0.46
% 0.28/0.46 thf(subsetI1_type,type,
% 0.28/0.46 subsetI1: $o ).
% 0.28/0.46
% 0.28/0.46 thf(subsetI1,definition,
% 0.28/0.46 ( subsetI1
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( in @ Xx @ B ) )
% 0.28/0.46 => ( subset @ A @ B ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(eqimpsubset2_type,type,
% 0.28/0.46 eqimpsubset2: $o ).
% 0.28/0.46
% 0.28/0.46 thf(eqimpsubset2,definition,
% 0.28/0.46 ( eqimpsubset2
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ( A = B )
% 0.28/0.46 => ( subset @ B @ A ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(eqimpsubset1_type,type,
% 0.28/0.46 eqimpsubset1: $o ).
% 0.28/0.46
% 0.28/0.46 thf(eqimpsubset1,definition,
% 0.28/0.46 ( eqimpsubset1
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ( A = B )
% 0.28/0.46 => ( subset @ A @ B ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(subsetI2_type,type,
% 0.28/0.46 subsetI2: $o ).
% 0.28/0.46
% 0.28/0.46 thf(subsetI2,definition,
% 0.28/0.46 ( subsetI2
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ! [Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( in @ Xx @ B ) )
% 0.28/0.46 => ( subset @ A @ B ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(emptysetsubset_type,type,
% 0.28/0.46 emptysetsubset: $o ).
% 0.28/0.46
% 0.28/0.46 thf(emptysetsubset,definition,
% 0.28/0.46 ( emptysetsubset
% 0.28/0.46 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(subsetE_type,type,
% 0.28/0.46 subsetE: $o ).
% 0.28/0.46
% 0.28/0.46 thf(subsetE,definition,
% 0.28/0.46 ( subsetE
% 0.28/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.28/0.46 ( ( subset @ A @ B )
% 0.28/0.46 => ( ( in @ Xx @ A )
% 0.28/0.46 => ( in @ Xx @ B ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(subsetE2_type,type,
% 0.28/0.46 subsetE2: $o ).
% 0.28/0.46
% 0.28/0.46 thf(subsetE2,definition,
% 0.28/0.46 ( subsetE2
% 0.28/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.28/0.46 ( ( subset @ A @ B )
% 0.28/0.46 => ( ~ ( in @ Xx @ B )
% 0.28/0.46 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(notsubsetI_type,type,
% 0.28/0.46 notsubsetI: $o ).
% 0.28/0.46
% 0.28/0.46 thf(notsubsetI,definition,
% 0.28/0.46 ( notsubsetI
% 0.28/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( ~ ( in @ Xx @ B )
% 0.28/0.46 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(notequalI1_type,type,
% 0.28/0.46 notequalI1: $o ).
% 0.28/0.46
% 0.28/0.46 thf(notequalI1,definition,
% 0.28/0.46 ( notequalI1
% 0.28/0.46 = ( ! [A: $i,B: $i] :
% 0.28/0.46 ( ~ ( subset @ A @ B )
% 0.28/0.46 => ( A != B ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(notequalI2_type,type,
% 0.28/0.46 notequalI2: $o ).
% 0.28/0.46
% 0.28/0.46 thf(notequalI2,definition,
% 0.28/0.46 ( notequalI2
% 0.28/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.28/0.46 ( ( in @ Xx @ A )
% 0.28/0.46 => ( ~ ( in @ Xx @ B )
% 0.28/0.46 => ( A != B ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(subsetRefl_type,type,
% 0.28/0.46 subsetRefl: $o ).
% 0.28/0.46
% 0.28/0.46 thf(subsetRefl,definition,
% 0.28/0.46 ( subsetRefl
% 0.28/0.46 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 0.28/0.46
% 0.28/0.46 thf(subsetTrans,conjecture,
% 0.28/0.46 ( setextAx
% 0.28/0.46 => ( emptysetAx
% 0.28/0.46 => ( setadjoinAx
% 0.28/0.46 => ( powersetAx
% 0.28/0.46 => ( setunionAx
% 0.28/0.46 => ( omega0Ax
% 0.28/0.46 => ( omegaSAx
% 0.28/0.46 => ( omegaIndAx
% 0.28/0.46 => ( replAx
% 0.28/0.46 => ( foundationAx
% 0.28/0.46 => ( wellorderingAx
% 0.28/0.46 => ( descrp
% 0.28/0.46 => ( dsetconstrI
% 0.28/0.46 => ( dsetconstrEL
% 0.28/0.46 => ( dsetconstrER
% 0.28/0.46 => ( exuE1
% 0.28/0.46 => ( prop2setE
% 0.28/0.46 => ( emptysetE
% 0.28/0.46 => ( emptysetimpfalse
% 0.28/0.46 => ( notinemptyset
% 0.28/0.46 => ( exuE3e
% 0.28/0.46 => ( setext
% 0.28/0.46 => ( emptyI
% 0.28/0.46 => ( noeltsimpempty
% 0.28/0.46 => ( setbeta
% 0.28/0.46 => ( nonemptyE1
% 0.28/0.46 => ( nonemptyI
% 0.28/0.46 => ( nonemptyI1
% 0.28/0.46 => ( setadjoinIL
% 0.28/0.46 => ( emptyinunitempty
% 0.28/0.46 => ( setadjoinIR
% 0.28/0.46 => ( setadjoinE
% 0.28/0.46 => ( setadjoinOr
% 0.28/0.46 => ( setoftrueEq
% 0.28/0.46 => ( powersetI
% 0.28/0.46 => ( emptyinPowerset
% 0.28/0.46 => ( emptyInPowerset
% 0.28/0.46 => ( powersetE
% 0.28/0.46 => ( setunionI
% 0.28/0.46 => ( setunionE
% 0.28/0.46 => ( subPowSU
% 0.28/0.46 => ( exuE2
% 0.28/0.46 => ( nonemptyImpWitness
% 0.28/0.46 => ( uniqinunit
% 0.28/0.46 => ( notinsingleton
% 0.28/0.46 => ( eqinunit
% 0.28/0.46 => ( singletonsswitch
% 0.28/0.46 => ( upairsetE
% 0.28/0.46 => ( upairsetIL
% 0.28/0.46 => ( upairsetIR
% 0.28/0.46 => ( emptyE1
% 0.28/0.46 => ( vacuousDall
% 0.28/0.46 => ( quantDeMorgan1
% 0.28/0.46 => ( quantDeMorgan2
% 0.28/0.46 => ( quantDeMorgan3
% 0.28/0.46 => ( quantDeMorgan4
% 0.28/0.46 => ( prop2setI
% 0.28/0.46 => ( prop2set2propI
% 0.28/0.46 => ( notdexE
% 0.28/0.46 => ( notdallE
% 0.28/0.46 => ( exuI1
% 0.28/0.46 => ( exuI3
% 0.28/0.46 => ( exuI2
% 0.28/0.46 => ( inCongP
% 0.28/0.46 => ( in__Cong
% 0.28/0.46 => ( exuE3u
% 0.28/0.46 => ( exu__Cong
% 0.28/0.46 => ( emptyset__Cong
% 0.28/0.46 => ( setadjoin__Cong
% 0.28/0.46 => ( powerset__Cong
% 0.28/0.46 => ( setunion__Cong
% 0.28/0.46 => ( omega__Cong
% 0.28/0.46 => ( exuEu
% 0.28/0.46 => ( descr__Cong
% 0.28/0.46 => ( dsetconstr__Cong
% 0.28/0.46 => ( subsetI1
% 0.28/0.46 => ( eqimpsubset2
% 0.28/0.46 => ( eqimpsubset1
% 0.28/0.46 => ( subsetI2
% 0.28/0.46 => ( emptysetsubset
% 0.28/0.46 => ( subsetE
% 0.28/0.46 => ( subsetE2
% 0.28/0.46 => ( notsubsetI
% 0.28/0.46 => ( notequalI1
% 0.28/0.46 => ( notequalI2
% 0.28/0.46 => ( subsetRefl
% 0.28/0.46 => ! [A: $i,B: $i,C: $i] :
% 0.28/0.46 ( ( subset @ A @ B )
% 0.28/0.46 => ( ( subset @ B @ C )
% 0.28/0.46 => ( subset @ A @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.28/0.46
% 0.28/0.46 %------------------------------------------------------------------------------
% 0.28/0.46 ------------------------
% 2.33/1.57 ---- Embedded in THF ---
% 2.33/1.58 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.33/1.58 %%% Generated on Tue Feb 24 12:25:42 EST 2026
% 2.33/1.58 %%% using '$$dhol' embedding, version 1.3.0.
% 2.33/1.58 %%% Logic specification used:
% 2.33/1.58 %%% thf(spec, logic, $$dhol).
% 2.33/1.58
% 2.33/1.58 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.jziO1gB32n/DTF2DTF10864.p
% See solution above
% 2.33/1.58 ------------------------
% 2.52/1.60 ---- Cleaned THF ---
% 2.52/1.60 thf(in_type,type,
% 2.52/1.60 in: $i > $i > $o ).
% 2.52/1.60
% 2.52/1.60 thf(exu_type,type,
% 2.52/1.60 exu: ( $i > $o ) > $o ).
% 2.52/1.60
% 2.52/1.60 thf(exu,definition,
% 2.52/1.60 ( exu
% 2.52/1.60 = ( ^ [Xphi: $i > $o] :
% 2.52/1.60 ? [Xx: $i] :
% 2.52/1.60 ( ( Xphi @ Xx )
% 2.52/1.60 & ! [Xy: $i] :
% 2.52/1.60 ( ( Xphi @ Xy )
% 2.52/1.60 => ( Xx = Xy ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setextAx_type,type,
% 2.52/1.60 setextAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setextAx,definition,
% 2.52/1.60 ( setextAx
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 <=> ( in @ Xx @ B ) )
% 2.52/1.60 => ( A = B ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptyset_type,type,
% 2.52/1.60 emptyset: $i ).
% 2.52/1.60
% 2.52/1.60 thf(emptysetAx_type,type,
% 2.52/1.60 emptysetAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptysetAx,definition,
% 2.52/1.60 ( emptysetAx
% 2.52/1.60 = ( ! [Xx: $i] :
% 2.52/1.60 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoin_type,type,
% 2.52/1.60 setadjoin: $i > $i > $i ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinAx_type,type,
% 2.52/1.60 setadjoinAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinAx,definition,
% 2.52/1.60 ( setadjoinAx
% 2.52/1.60 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.52/1.60 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.52/1.60 <=> ( ( Xy = Xx )
% 2.52/1.60 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(powerset_type,type,
% 2.52/1.60 powerset: $i > $i ).
% 2.52/1.60
% 2.52/1.60 thf(powersetAx_type,type,
% 2.52/1.60 powersetAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(powersetAx,definition,
% 2.52/1.60 ( powersetAx
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ( in @ B @ ( powerset @ A ) )
% 2.52/1.60 <=> ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ B )
% 2.52/1.60 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setunion_type,type,
% 2.52/1.60 setunion: $i > $i ).
% 2.52/1.60
% 2.52/1.60 thf(setunionAx_type,type,
% 2.52/1.60 setunionAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setunionAx,definition,
% 2.52/1.60 ( setunionAx
% 2.52/1.60 = ( ! [A: $i,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ ( setunion @ A ) )
% 2.52/1.60 <=> ? [B: $i] :
% 2.52/1.60 ( ( in @ Xx @ B )
% 2.52/1.60 & ( in @ B @ A ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(omega_type,type,
% 2.52/1.60 omega: $i ).
% 2.52/1.60
% 2.52/1.60 thf(omega0Ax_type,type,
% 2.52/1.60 omega0Ax: $o ).
% 2.52/1.60
% 2.52/1.60 thf(omega0Ax,definition,
% 2.52/1.60 ( omega0Ax
% 2.52/1.60 = ( in @ emptyset @ omega ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(omegaSAx_type,type,
% 2.52/1.60 omegaSAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(omegaSAx,definition,
% 2.52/1.60 ( omegaSAx
% 2.52/1.60 = ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ omega )
% 2.52/1.60 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(omegaIndAx_type,type,
% 2.52/1.60 omegaIndAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(omegaIndAx,definition,
% 2.52/1.60 ( omegaIndAx
% 2.52/1.60 = ( ! [A: $i] :
% 2.52/1.60 ( ( ( in @ emptyset @ A )
% 2.52/1.60 & ! [Xx: $i] :
% 2.52/1.60 ( ( ( in @ Xx @ omega )
% 2.52/1.60 & ( in @ Xx @ A ) )
% 2.52/1.60 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 2.52/1.60 => ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ omega )
% 2.52/1.60 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(replAx_type,type,
% 2.52/1.60 replAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(replAx,definition,
% 2.52/1.60 ( replAx
% 2.52/1.60 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( exu
% 2.52/1.60 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 2.52/1.60 => ? [B: $i] :
% 2.52/1.60 ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ B )
% 2.52/1.60 <=> ? [Xy: $i] :
% 2.52/1.60 ( ( in @ Xy @ A )
% 2.52/1.60 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(foundationAx_type,type,
% 2.52/1.60 foundationAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(foundationAx,definition,
% 2.52/1.60 ( foundationAx
% 2.52/1.60 = ( ! [A: $i] :
% 2.52/1.60 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.52/1.60 => ? [B: $i] :
% 2.52/1.60 ( ( in @ B @ A )
% 2.52/1.60 & ~ ? [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ B )
% 2.52/1.60 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(wellorderingAx_type,type,
% 2.52/1.60 wellorderingAx: $o ).
% 2.52/1.60
% 2.52/1.60 thf(wellorderingAx,definition,
% 2.52/1.60 ( wellorderingAx
% 2.52/1.60 = ( ! [A: $i] :
% 2.52/1.60 ? [B: $i] :
% 2.52/1.60 ( ! [C: $i] :
% 2.52/1.60 ( ( in @ C @ B )
% 2.52/1.60 => ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ C )
% 2.52/1.60 => ( in @ Xx @ A ) ) )
% 2.52/1.60 & ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( ( in @ Xx @ A )
% 2.52/1.60 & ( in @ Xy @ A ) )
% 2.52/1.60 => ( ! [C: $i] :
% 2.52/1.60 ( ( in @ C @ B )
% 2.52/1.60 => ( ( in @ Xx @ C )
% 2.52/1.60 <=> ( in @ Xy @ C ) ) )
% 2.52/1.60 => ( Xx = Xy ) ) )
% 2.52/1.60 & ! [C: $i,D: $i] :
% 2.52/1.60 ( ( ( in @ C @ B )
% 2.52/1.60 & ( in @ D @ B ) )
% 2.52/1.60 => ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ C )
% 2.52/1.60 => ( in @ Xx @ D ) )
% 2.52/1.60 | ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ D )
% 2.52/1.60 => ( in @ Xx @ C ) ) ) )
% 2.52/1.60 & ! [C: $i] :
% 2.52/1.60 ( ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ C )
% 2.52/1.60 => ( in @ Xx @ A ) )
% 2.52/1.60 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 2.52/1.60 => ? [D: $i,Xx: $i] :
% 2.52/1.60 ( ( in @ D @ B )
% 2.52/1.60 & ( in @ Xx @ C )
% 2.52/1.60 & ~ ? [Xy: $i] :
% 2.52/1.60 ( ( in @ Xy @ D )
% 2.52/1.60 & ( in @ Xy @ C ) )
% 2.52/1.60 & ! [E: $i] :
% 2.52/1.60 ( ( in @ E @ B )
% 2.52/1.60 => ( ! [Xy: $i] :
% 2.52/1.60 ( ( in @ Xy @ E )
% 2.52/1.60 => ( in @ Xy @ D ) )
% 2.52/1.60 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(descr_type,type,
% 2.52/1.60 descr: ( $i > $o ) > $i ).
% 2.52/1.60
% 2.52/1.60 thf(descrp_type,type,
% 2.52/1.60 descrp: $o ).
% 2.52/1.60
% 2.52/1.60 thf(descrp,definition,
% 2.52/1.60 ( descrp
% 2.52/1.60 = ( ! [Xphi: $i > $o] :
% 2.52/1.60 ( ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 => ( Xphi
% 2.52/1.60 @ ( descr
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(dsetconstr_type,type,
% 2.52/1.60 dsetconstr: $i > ( $i > $o ) > $i ).
% 2.52/1.60
% 2.52/1.60 thf(dsetconstrI_type,type,
% 2.52/1.60 dsetconstrI: $o ).
% 2.52/1.60
% 2.52/1.60 thf(dsetconstrI,definition,
% 2.52/1.60 ( dsetconstrI
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( ( Xphi @ Xx )
% 2.52/1.60 => ( in @ Xx
% 2.52/1.60 @ ( dsetconstr @ A
% 2.52/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(dsetconstrEL_type,type,
% 2.52/1.60 dsetconstrEL: $o ).
% 2.52/1.60
% 2.52/1.60 thf(dsetconstrEL,definition,
% 2.52/1.60 ( dsetconstrEL
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx
% 2.52/1.60 @ ( dsetconstr @ A
% 2.52/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.52/1.60 => ( in @ Xx @ A ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(dsetconstrER_type,type,
% 2.52/1.60 dsetconstrER: $o ).
% 2.52/1.60
% 2.52/1.60 thf(dsetconstrER,definition,
% 2.52/1.60 ( dsetconstrER
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx
% 2.52/1.60 @ ( dsetconstr @ A
% 2.52/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.52/1.60 => ( Xphi @ Xx ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(exuE1_type,type,
% 2.52/1.60 exuE1: $o ).
% 2.52/1.60
% 2.52/1.60 thf(exuE1,definition,
% 2.52/1.60 ( exuE1
% 2.52/1.60 = ( ! [Xphi: $i > $o] :
% 2.52/1.60 ( ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 => ? [Xx: $i] :
% 2.52/1.60 ( ( Xphi @ Xx )
% 2.52/1.60 & ! [Xy: $i] :
% 2.52/1.60 ( ( Xphi @ Xy )
% 2.52/1.60 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(prop2set_type,type,
% 2.52/1.60 prop2set: $o > $i ).
% 2.52/1.60
% 2.52/1.60 thf(prop2setE_type,type,
% 2.52/1.60 prop2setE: $o ).
% 2.52/1.60
% 2.52/1.60 thf(prop2setE,definition,
% 2.52/1.60 ( prop2setE
% 2.52/1.60 = ( ! [Xphi: $o,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 2.52/1.60 => Xphi ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptysetE_type,type,
% 2.52/1.60 emptysetE: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptysetE,definition,
% 2.52/1.60 ( emptysetE
% 2.52/1.60 = ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ emptyset )
% 2.52/1.60 => ! [Xphi: $o] : Xphi ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptysetimpfalse_type,type,
% 2.52/1.60 emptysetimpfalse: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptysetimpfalse,definition,
% 2.52/1.60 ( emptysetimpfalse
% 2.52/1.60 = ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ emptyset )
% 2.52/1.60 => $false ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(notinemptyset_type,type,
% 2.52/1.60 notinemptyset: $o ).
% 2.52/1.60
% 2.52/1.60 thf(notinemptyset,definition,
% 2.52/1.60 ( notinemptyset
% 2.52/1.60 = ( ! [Xx: $i] :
% 2.52/1.60 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(exuE3e_type,type,
% 2.52/1.60 exuE3e: $o ).
% 2.52/1.60
% 2.52/1.60 thf(exuE3e,definition,
% 2.52/1.60 ( exuE3e
% 2.52/1.60 = ( ! [Xphi: $i > $o] :
% 2.52/1.60 ( ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setext_type,type,
% 2.52/1.60 setext: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setext,definition,
% 2.52/1.60 ( setext
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( in @ Xx @ B ) )
% 2.52/1.60 => ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ B )
% 2.52/1.60 => ( in @ Xx @ A ) )
% 2.52/1.60 => ( A = B ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptyI_type,type,
% 2.52/1.60 emptyI: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptyI,definition,
% 2.52/1.60 ( emptyI
% 2.52/1.60 = ( ! [A: $i] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ~ ( in @ Xx @ A )
% 2.52/1.60 => ( A = emptyset ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(noeltsimpempty_type,type,
% 2.52/1.60 noeltsimpempty: $o ).
% 2.52/1.60
% 2.52/1.60 thf(noeltsimpempty,definition,
% 2.52/1.60 ( noeltsimpempty
% 2.52/1.60 = ( ! [A: $i] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ~ ( in @ Xx @ A )
% 2.52/1.60 => ( A = emptyset ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setbeta_type,type,
% 2.52/1.60 setbeta: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setbeta,definition,
% 2.52/1.60 ( setbeta
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( ( in @ Xx
% 2.52/1.60 @ ( dsetconstr @ A
% 2.52/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.52/1.60 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(nonempty_type,type,
% 2.52/1.60 nonempty: $i > $o ).
% 2.52/1.60
% 2.52/1.60 thf(nonempty,definition,
% 2.52/1.60 ( nonempty
% 2.52/1.60 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(nonemptyE1_type,type,
% 2.52/1.60 nonemptyE1: $o ).
% 2.52/1.60
% 2.52/1.60 thf(nonemptyE1,definition,
% 2.52/1.60 ( nonemptyE1
% 2.52/1.60 = ( ! [A: $i] :
% 2.52/1.60 ( ( nonempty @ A )
% 2.52/1.60 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(nonemptyI_type,type,
% 2.52/1.60 nonemptyI: $o ).
% 2.52/1.60
% 2.52/1.60 thf(nonemptyI,definition,
% 2.52/1.60 ( nonemptyI
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( ( Xphi @ Xx )
% 2.52/1.60 => ( nonempty
% 2.52/1.60 @ ( dsetconstr @ A
% 2.52/1.60 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(nonemptyI1_type,type,
% 2.52/1.60 nonemptyI1: $o ).
% 2.52/1.60
% 2.52/1.60 thf(nonemptyI1,definition,
% 2.52/1.60 ( nonemptyI1
% 2.52/1.60 = ( ! [A: $i] :
% 2.52/1.60 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.52/1.60 => ( nonempty @ A ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinIL_type,type,
% 2.52/1.60 setadjoinIL: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinIL,definition,
% 2.52/1.60 ( setadjoinIL
% 2.52/1.60 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptyinunitempty_type,type,
% 2.52/1.60 emptyinunitempty: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptyinunitempty,definition,
% 2.52/1.60 ( emptyinunitempty
% 2.52/1.60 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinIR_type,type,
% 2.52/1.60 setadjoinIR: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinIR,definition,
% 2.52/1.60 ( setadjoinIR
% 2.52/1.60 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.52/1.60 ( ( in @ Xy @ A )
% 2.52/1.60 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinE_type,type,
% 2.52/1.60 setadjoinE: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinE,definition,
% 2.52/1.60 ( setadjoinE
% 2.52/1.60 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.52/1.60 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.52/1.60 => ! [Xphi: $o] :
% 2.52/1.60 ( ( ( Xy = Xx )
% 2.52/1.60 => Xphi )
% 2.52/1.60 => ( ( ( in @ Xy @ A )
% 2.52/1.60 => Xphi )
% 2.52/1.60 => Xphi ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinOr_type,type,
% 2.52/1.60 setadjoinOr: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoinOr,definition,
% 2.52/1.60 ( setadjoinOr
% 2.52/1.60 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.52/1.60 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.52/1.60 => ( ( Xy = Xx )
% 2.52/1.60 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setoftrueEq_type,type,
% 2.52/1.60 setoftrueEq: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setoftrueEq,definition,
% 2.52/1.60 ( setoftrueEq
% 2.52/1.60 = ( ! [A: $i] :
% 2.52/1.60 ( ( dsetconstr @ A
% 2.52/1.60 @ ^ [Xx: $i] : $true )
% 2.52/1.60 = A ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(powersetI_type,type,
% 2.52/1.60 powersetI: $o ).
% 2.52/1.60
% 2.52/1.60 thf(powersetI,definition,
% 2.52/1.60 ( powersetI
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ B )
% 2.52/1.60 => ( in @ Xx @ A ) )
% 2.52/1.60 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptyinPowerset_type,type,
% 2.52/1.60 emptyinPowerset: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptyinPowerset,definition,
% 2.52/1.60 ( emptyinPowerset
% 2.52/1.60 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptyInPowerset_type,type,
% 2.52/1.60 emptyInPowerset: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptyInPowerset,definition,
% 2.52/1.60 ( emptyInPowerset
% 2.52/1.60 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(powersetE_type,type,
% 2.52/1.60 powersetE: $o ).
% 2.52/1.60
% 2.52/1.60 thf(powersetE,definition,
% 2.52/1.60 ( powersetE
% 2.52/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.52/1.60 ( ( in @ B @ ( powerset @ A ) )
% 2.52/1.60 => ( ( in @ Xx @ B )
% 2.52/1.60 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setunionI_type,type,
% 2.52/1.60 setunionI: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setunionI,definition,
% 2.52/1.60 ( setunionI
% 2.52/1.60 = ( ! [A: $i,Xx: $i,B: $i] :
% 2.52/1.60 ( ( in @ Xx @ B )
% 2.52/1.60 => ( ( in @ B @ A )
% 2.52/1.60 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setunionE_type,type,
% 2.52/1.60 setunionE: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setunionE,definition,
% 2.52/1.60 ( setunionE
% 2.52/1.60 = ( ! [A: $i,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ ( setunion @ A ) )
% 2.52/1.60 => ! [Xphi: $o] :
% 2.52/1.60 ( ! [B: $i] :
% 2.52/1.60 ( ( in @ Xx @ B )
% 2.52/1.60 => ( ( in @ B @ A )
% 2.52/1.60 => Xphi ) )
% 2.52/1.60 => Xphi ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(subPowSU_type,type,
% 2.52/1.60 subPowSU: $o ).
% 2.52/1.60
% 2.52/1.60 thf(subPowSU,definition,
% 2.52/1.60 ( subPowSU
% 2.52/1.60 = ( ! [A: $i,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(exuE2_type,type,
% 2.52/1.60 exuE2: $o ).
% 2.52/1.60
% 2.52/1.60 thf(exuE2,definition,
% 2.52/1.60 ( exuE2
% 2.52/1.60 = ( ! [Xphi: $i > $o] :
% 2.52/1.60 ( ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 => ? [Xx: $i] :
% 2.52/1.60 ! [Xy: $i] :
% 2.52/1.60 ( ( Xphi @ Xy )
% 2.52/1.60 <=> ( Xy = Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(nonemptyImpWitness_type,type,
% 2.52/1.60 nonemptyImpWitness: $o ).
% 2.52/1.60
% 2.52/1.60 thf(nonemptyImpWitness,definition,
% 2.52/1.60 ( nonemptyImpWitness
% 2.52/1.60 = ( ! [A: $i] :
% 2.52/1.60 ( ( nonempty @ A )
% 2.52/1.60 => ? [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 & $true ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(uniqinunit_type,type,
% 2.52/1.60 uniqinunit: $o ).
% 2.52/1.60
% 2.52/1.60 thf(uniqinunit,definition,
% 2.52/1.60 ( uniqinunit
% 2.52/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.52/1.60 => ( Xx = Xy ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(notinsingleton_type,type,
% 2.52/1.60 notinsingleton: $o ).
% 2.52/1.60
% 2.52/1.60 thf(notinsingleton,definition,
% 2.52/1.60 ( notinsingleton
% 2.52/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xx != Xy )
% 2.52/1.60 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(eqinunit_type,type,
% 2.52/1.60 eqinunit: $o ).
% 2.52/1.60
% 2.52/1.60 thf(eqinunit,definition,
% 2.52/1.60 ( eqinunit
% 2.52/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xx = Xy )
% 2.52/1.60 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(singletonsswitch_type,type,
% 2.52/1.60 singletonsswitch: $o ).
% 2.52/1.60
% 2.52/1.60 thf(singletonsswitch,definition,
% 2.52/1.60 ( singletonsswitch
% 2.52/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.52/1.60 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(upairsetE_type,type,
% 2.52/1.60 upairsetE: $o ).
% 2.52/1.60
% 2.52/1.60 thf(upairsetE,definition,
% 2.52/1.60 ( upairsetE
% 2.52/1.60 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.52/1.60 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 2.52/1.60 => ( ( Xz = Xx )
% 2.52/1.60 | ( Xz = Xy ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(upairsetIL_type,type,
% 2.52/1.60 upairsetIL: $o ).
% 2.52/1.60
% 2.52/1.60 thf(upairsetIL,definition,
% 2.52/1.60 ( upairsetIL
% 2.52/1.60 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(upairsetIR_type,type,
% 2.52/1.60 upairsetIR: $o ).
% 2.52/1.60
% 2.52/1.60 thf(upairsetIR,definition,
% 2.52/1.60 ( upairsetIR
% 2.52/1.60 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptyE1_type,type,
% 2.52/1.60 emptyE1: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptyE1,definition,
% 2.52/1.60 ( emptyE1
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.52/1.60 ( ? [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 & ( Xphi @ Xx ) )
% 2.52/1.60 => ( ( ( dsetconstr @ A
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 = emptyset )
% 2.52/1.60 => $false ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(vacuousDall_type,type,
% 2.52/1.60 vacuousDall: $o ).
% 2.52/1.60
% 2.52/1.60 thf(vacuousDall,definition,
% 2.52/1.60 ( vacuousDall
% 2.52/1.60 = ( ! [Xphi: $i > $o,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ emptyset )
% 2.52/1.60 => ( Xphi @ Xx ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(quantDeMorgan1_type,type,
% 2.52/1.60 quantDeMorgan1: $o ).
% 2.52/1.60
% 2.52/1.60 thf(quantDeMorgan1,definition,
% 2.52/1.60 ( quantDeMorgan1
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.52/1.60 ( ~ ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( Xphi @ Xx ) )
% 2.52/1.60 => ? [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(quantDeMorgan2_type,type,
% 2.52/1.60 quantDeMorgan2: $o ).
% 2.52/1.60
% 2.52/1.60 thf(quantDeMorgan2,definition,
% 2.52/1.60 ( quantDeMorgan2
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ~ ( Xphi @ Xx ) )
% 2.52/1.60 => ~ ? [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 & ( Xphi @ Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(quantDeMorgan3_type,type,
% 2.52/1.60 quantDeMorgan3: $o ).
% 2.52/1.60
% 2.52/1.60 thf(quantDeMorgan3,definition,
% 2.52/1.60 ( quantDeMorgan3
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.52/1.60 ( ~ ? [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 & ( Xphi @ Xx ) )
% 2.52/1.60 => ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(quantDeMorgan4_type,type,
% 2.52/1.60 quantDeMorgan4: $o ).
% 2.52/1.60
% 2.52/1.60 thf(quantDeMorgan4,definition,
% 2.52/1.60 ( quantDeMorgan4
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.52/1.60 ( ? [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 & ~ ( Xphi @ Xx ) )
% 2.52/1.60 => ~ ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( Xphi @ Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(prop2setI_type,type,
% 2.52/1.60 prop2setI: $o ).
% 2.52/1.60
% 2.52/1.60 thf(prop2setI,definition,
% 2.52/1.60 ( prop2setI
% 2.52/1.60 = ( ! [Xphi: $o] :
% 2.52/1.60 ( Xphi
% 2.52/1.60 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(set2prop_type,type,
% 2.52/1.60 set2prop: $i > $o ).
% 2.52/1.60
% 2.52/1.60 thf(prop2set2propI_type,type,
% 2.52/1.60 prop2set2propI: $o ).
% 2.52/1.60
% 2.52/1.60 thf(prop2set2propI,definition,
% 2.52/1.60 ( prop2set2propI
% 2.52/1.60 = ( ! [Xphi: $o] :
% 2.52/1.60 ( Xphi
% 2.52/1.60 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(notdexE_type,type,
% 2.52/1.60 notdexE: $o ).
% 2.52/1.60
% 2.52/1.60 thf(notdexE,definition,
% 2.52/1.60 ( notdexE
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.52/1.60 ( ~ ? [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 & ( Xphi @ Xx ) )
% 2.52/1.60 => ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(notdallE_type,type,
% 2.52/1.60 notdallE: $o ).
% 2.52/1.60
% 2.52/1.60 thf(notdallE,definition,
% 2.52/1.60 ( notdallE
% 2.52/1.60 = ( ! [A: $i,Xphi: $i > $o] :
% 2.52/1.60 ( ~ ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( Xphi @ Xx ) )
% 2.52/1.60 => ? [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(exuI1_type,type,
% 2.52/1.60 exuI1: $o ).
% 2.52/1.60
% 2.52/1.60 thf(exuI1,definition,
% 2.52/1.60 ( exuI1
% 2.52/1.60 = ( ! [Xphi: $i > $o] :
% 2.52/1.60 ( ? [Xx: $i] :
% 2.52/1.60 ( ( Xphi @ Xx )
% 2.52/1.60 & ! [Xy: $i] :
% 2.52/1.60 ( ( Xphi @ Xy )
% 2.52/1.60 => ( Xx = Xy ) ) )
% 2.52/1.60 => ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(exuI3_type,type,
% 2.52/1.60 exuI3: $o ).
% 2.52/1.60
% 2.52/1.60 thf(exuI3,definition,
% 2.52/1.60 ( exuI3
% 2.52/1.60 = ( ! [Xphi: $i > $o] :
% 2.52/1.60 ( ? [Xx: $i] : ( Xphi @ Xx )
% 2.52/1.60 => ( ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xphi @ Xx )
% 2.52/1.60 => ( ( Xphi @ Xy )
% 2.52/1.60 => ( Xx = Xy ) ) )
% 2.52/1.60 => ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(exuI2_type,type,
% 2.52/1.60 exuI2: $o ).
% 2.52/1.60
% 2.52/1.60 thf(exuI2,definition,
% 2.52/1.60 ( exuI2
% 2.52/1.60 = ( ! [Xphi: $i > $o] :
% 2.52/1.60 ( ? [Xx: $i] :
% 2.52/1.60 ! [Xy: $i] :
% 2.52/1.60 ( ( Xphi @ Xy )
% 2.52/1.60 <=> ( Xy = Xx ) )
% 2.52/1.60 => ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(inCongP_type,type,
% 2.52/1.60 inCongP: $o ).
% 2.52/1.60
% 2.52/1.60 thf(inCongP,definition,
% 2.52/1.60 ( inCongP
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ( A = B )
% 2.52/1.60 => ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xx = Xy )
% 2.52/1.60 => ( ( in @ Xx @ A )
% 2.52/1.60 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(in__Cong_type,type,
% 2.52/1.60 in__Cong: $o ).
% 2.52/1.60
% 2.52/1.60 thf(in__Cong,definition,
% 2.52/1.60 ( in__Cong
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ( A = B )
% 2.52/1.60 => ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xx = Xy )
% 2.52/1.60 => ( ( in @ Xx @ A )
% 2.52/1.60 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(exuE3u_type,type,
% 2.52/1.60 exuE3u: $o ).
% 2.52/1.60
% 2.52/1.60 thf(exuE3u,definition,
% 2.52/1.60 ( exuE3u
% 2.52/1.60 = ( ! [Xphi: $i > $o] :
% 2.52/1.60 ( ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 => ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xphi @ Xx )
% 2.52/1.60 => ( ( Xphi @ Xy )
% 2.52/1.60 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(exu__Cong_type,type,
% 2.52/1.60 exu__Cong: $o ).
% 2.52/1.60
% 2.52/1.60 thf(exu__Cong,definition,
% 2.52/1.60 ( exu__Cong
% 2.52/1.60 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.52/1.60 ( ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xx = Xy )
% 2.52/1.60 => ( ( Xphi @ Xx )
% 2.52/1.60 <=> ( Xpsi @ Xy ) ) )
% 2.52/1.60 => ( ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 <=> ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptyset__Cong_type,type,
% 2.52/1.60 emptyset__Cong: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptyset__Cong,definition,
% 2.52/1.60 ( emptyset__Cong
% 2.52/1.60 = ( emptyset = emptyset ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoin__Cong_type,type,
% 2.52/1.60 setadjoin__Cong: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setadjoin__Cong,definition,
% 2.52/1.60 ( setadjoin__Cong
% 2.52/1.60 = ( ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xx = Xy )
% 2.52/1.60 => ! [Xz: $i,Xu: $i] :
% 2.52/1.60 ( ( Xz = Xu )
% 2.52/1.60 => ( ( setadjoin @ Xx @ Xz )
% 2.52/1.60 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(powerset__Cong_type,type,
% 2.52/1.60 powerset__Cong: $o ).
% 2.52/1.60
% 2.52/1.60 thf(powerset__Cong,definition,
% 2.52/1.60 ( powerset__Cong
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ( A = B )
% 2.52/1.60 => ( ( powerset @ A )
% 2.52/1.60 = ( powerset @ B ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(setunion__Cong_type,type,
% 2.52/1.60 setunion__Cong: $o ).
% 2.52/1.60
% 2.52/1.60 thf(setunion__Cong,definition,
% 2.52/1.60 ( setunion__Cong
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ( A = B )
% 2.52/1.60 => ( ( setunion @ A )
% 2.52/1.60 = ( setunion @ B ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(omega__Cong_type,type,
% 2.52/1.60 omega__Cong: $o ).
% 2.52/1.60
% 2.52/1.60 thf(omega__Cong,definition,
% 2.52/1.60 ( omega__Cong
% 2.52/1.60 = ( omega = omega ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(exuEu_type,type,
% 2.52/1.60 exuEu: $o ).
% 2.52/1.60
% 2.52/1.60 thf(exuEu,definition,
% 2.52/1.60 ( exuEu
% 2.52/1.60 = ( ! [Xphi: $i > $o] :
% 2.52/1.60 ( ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 => ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xphi @ Xx )
% 2.52/1.60 => ( ( Xphi @ Xy )
% 2.52/1.60 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(descr__Cong_type,type,
% 2.52/1.60 descr__Cong: $o ).
% 2.52/1.60
% 2.52/1.60 thf(descr__Cong,definition,
% 2.52/1.60 ( descr__Cong
% 2.52/1.60 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.52/1.60 ( ! [Xx: $i,Xy: $i] :
% 2.52/1.60 ( ( Xx = Xy )
% 2.52/1.60 => ( ( Xphi @ Xx )
% 2.52/1.60 <=> ( Xpsi @ Xy ) ) )
% 2.52/1.60 => ( ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 => ( ( exu
% 2.52/1.60 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 2.52/1.60 => ( ( descr
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 = ( descr
% 2.52/1.60 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(dsetconstr__Cong_type,type,
% 2.52/1.60 dsetconstr__Cong: $o ).
% 2.52/1.60
% 2.52/1.60 thf(dsetconstr__Cong,definition,
% 2.52/1.60 ( dsetconstr__Cong
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ( A = B )
% 2.52/1.60 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ! [Xy: $i] :
% 2.52/1.60 ( ( in @ Xy @ B )
% 2.52/1.60 => ( ( Xx = Xy )
% 2.52/1.60 => ( ( Xphi @ Xx )
% 2.52/1.60 <=> ( Xpsi @ Xy ) ) ) ) )
% 2.52/1.60 => ( ( dsetconstr @ A
% 2.52/1.60 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.52/1.60 = ( dsetconstr @ B
% 2.52/1.60 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(subset_type,type,
% 2.52/1.60 subset: $i > $i > $o ).
% 2.52/1.60
% 2.52/1.60 thf(disjoint_type,type,
% 2.52/1.60 disjoint: $i > $i > $o ).
% 2.52/1.60
% 2.52/1.60 thf(setsmeet_type,type,
% 2.52/1.60 setsmeet: $i > $i > $o ).
% 2.52/1.60
% 2.52/1.60 thf(subsetI1_type,type,
% 2.52/1.60 subsetI1: $o ).
% 2.52/1.60
% 2.52/1.60 thf(subsetI1,definition,
% 2.52/1.60 ( subsetI1
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( in @ Xx @ B ) )
% 2.52/1.60 => ( subset @ A @ B ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(eqimpsubset2_type,type,
% 2.52/1.60 eqimpsubset2: $o ).
% 2.52/1.60
% 2.52/1.60 thf(eqimpsubset2,definition,
% 2.52/1.60 ( eqimpsubset2
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ( A = B )
% 2.52/1.60 => ( subset @ B @ A ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(eqimpsubset1_type,type,
% 2.52/1.60 eqimpsubset1: $o ).
% 2.52/1.60
% 2.52/1.60 thf(eqimpsubset1,definition,
% 2.52/1.60 ( eqimpsubset1
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ( A = B )
% 2.52/1.60 => ( subset @ A @ B ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(subsetI2_type,type,
% 2.52/1.60 subsetI2: $o ).
% 2.52/1.60
% 2.52/1.60 thf(subsetI2,definition,
% 2.52/1.60 ( subsetI2
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ! [Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( in @ Xx @ B ) )
% 2.52/1.60 => ( subset @ A @ B ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(emptysetsubset_type,type,
% 2.52/1.60 emptysetsubset: $o ).
% 2.52/1.60
% 2.52/1.60 thf(emptysetsubset,definition,
% 2.52/1.60 ( emptysetsubset
% 2.52/1.60 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(subsetE_type,type,
% 2.52/1.60 subsetE: $o ).
% 2.52/1.60
% 2.52/1.60 thf(subsetE,definition,
% 2.52/1.60 ( subsetE
% 2.52/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.52/1.60 ( ( subset @ A @ B )
% 2.52/1.60 => ( ( in @ Xx @ A )
% 2.52/1.60 => ( in @ Xx @ B ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(subsetE2_type,type,
% 2.52/1.60 subsetE2: $o ).
% 2.52/1.60
% 2.52/1.60 thf(subsetE2,definition,
% 2.52/1.60 ( subsetE2
% 2.52/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.52/1.60 ( ( subset @ A @ B )
% 2.52/1.60 => ( ~ ( in @ Xx @ B )
% 2.52/1.60 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(notsubsetI_type,type,
% 2.52/1.60 notsubsetI: $o ).
% 2.52/1.60
% 2.52/1.60 thf(notsubsetI,definition,
% 2.52/1.60 ( notsubsetI
% 2.52/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( ~ ( in @ Xx @ B )
% 2.52/1.60 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(notequalI1_type,type,
% 2.52/1.60 notequalI1: $o ).
% 2.52/1.60
% 2.52/1.60 thf(notequalI1,definition,
% 2.52/1.60 ( notequalI1
% 2.52/1.60 = ( ! [A: $i,B: $i] :
% 2.52/1.60 ( ~ ( subset @ A @ B )
% 2.52/1.60 => ( A != B ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(notequalI2_type,type,
% 2.52/1.60 notequalI2: $o ).
% 2.52/1.60
% 2.52/1.60 thf(notequalI2,definition,
% 2.52/1.60 ( notequalI2
% 2.52/1.60 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.52/1.60 ( ( in @ Xx @ A )
% 2.52/1.60 => ( ~ ( in @ Xx @ B )
% 2.52/1.60 => ( A != B ) ) ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(subsetRefl_type,type,
% 2.52/1.60 subsetRefl: $o ).
% 2.52/1.60
% 2.52/1.60 thf(subsetRefl,definition,
% 2.52/1.60 ( subsetRefl
% 2.52/1.60 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 2.52/1.60
% 2.52/1.60 thf(subsetTrans,conjecture,
% 2.52/1.60 ( setextAx
% 2.52/1.60 => ( emptysetAx
% 2.52/1.60 => ( setadjoinAx
% 2.52/1.60 => ( powersetAx
% 2.52/1.60 => ( setunionAx
% 2.52/1.60 => ( omega0Ax
% 2.52/1.60 => ( omegaSAx
% 2.52/1.60 => ( omegaIndAx
% 2.52/1.60 => ( replAx
% 2.52/1.60 => ( foundationAx
% 2.52/1.60 => ( wellorderingAx
% 2.52/1.60 => ( descrp
% 2.52/1.60 => ( dsetconstrI
% 2.52/1.60 => ( dsetconstrEL
% 2.52/1.60 => ( dsetconstrER
% 2.52/1.60 => ( exuE1
% 2.52/1.60 => ( prop2setE
% 2.52/1.60 => ( emptysetE
% 2.52/1.60 => ( emptysetimpfalse
% 2.52/1.60 => ( notinemptyset
% 2.52/1.60 => ( exuE3e
% 2.52/1.60 => ( setext
% 2.52/1.60 => ( emptyI
% 2.52/1.60 => ( noeltsimpempty
% 2.52/1.60 => ( setbeta
% 2.52/1.60 => ( nonemptyE1
% 2.52/1.60 => ( nonemptyI
% 2.52/1.60 => ( nonemptyI1
% 2.52/1.60 => ( setadjoinIL
% 2.52/1.60 => ( emptyinunitempty
% 2.52/1.60 => ( setadjoinIR
% 2.52/1.60 => ( setadjoinE
% 2.52/1.60 => ( setadjoinOr
% 2.52/1.60 => ( setoftrueEq
% 2.52/1.60 => ( powersetI
% 2.52/1.60 => ( emptyinPowerset
% 2.52/1.60 => ( emptyInPowerset
% 2.52/1.60 => ( powersetE
% 2.52/1.60 => ( setunionI
% 2.52/1.60 => ( setunionE
% 2.52/1.60 => ( subPowSU
% 2.52/1.60 => ( exuE2
% 2.52/1.60 => ( nonemptyImpWitness
% 2.52/1.60 => ( uniqinunit
% 2.52/1.60 => ( notinsingleton
% 2.52/1.60 => ( eqinunit
% 2.52/1.60 => ( singletonsswitch
% 2.52/1.60 => ( upairsetE
% 2.52/1.60 => ( upairsetIL
% 2.52/1.60 => ( upairsetIR
% 2.52/1.60 => ( emptyE1
% 2.52/1.60 => ( vacuousDall
% 2.52/1.60 => ( quantDeMorgan1
% 2.52/1.60 => ( quantDeMorgan2
% 2.52/1.60 => ( quantDeMorgan3
% 2.52/1.60 => ( quantDeMorgan4
% 2.52/1.60 => ( prop2setI
% 2.52/1.60 => ( prop2set2propI
% 2.52/1.60 => ( notdexE
% 2.52/1.60 => ( notdallE
% 2.52/1.60 => ( exuI1
% 2.52/1.60 => ( exuI3
% 2.52/1.60 => ( exuI2
% 2.52/1.60 => ( inCongP
% 2.52/1.60 => ( in__Cong
% 2.52/1.60 => ( exuE3u
% 2.52/1.60 => ( exu__Cong
% 2.52/1.60 => ( emptyset__Cong
% 2.52/1.60 => ( setadjoin__Cong
% 2.52/1.60 => ( powerset__Cong
% 2.52/1.60 => ( setunion__Cong
% 2.52/1.60 => ( omega__Cong
% 2.52/1.60 => ( exuEu
% 2.52/1.60 => ( descr__Cong
% 2.52/1.60 => ( dsetconstr__Cong
% 2.52/1.60 => ( subsetI1
% 2.52/1.60 => ( eqimpsubset2
% 2.52/1.60 => ( eqimpsubset1
% 2.52/1.60 => ( subsetI2
% 2.52/1.60 => ( emptysetsubset
% 2.52/1.60 => ( subsetE
% 2.52/1.60 => ( subsetE2
% 2.52/1.60 => ( notsubsetI
% 2.52/1.60 => ( notequalI1
% 2.52/1.60 => ( notequalI2
% 2.52/1.60 => ( subsetRefl
% 2.52/1.60 => ! [A: $i,B: $i,C: $i] :
% 2.52/1.60 ( ( subset @ A @ B )
% 2.52/1.60 => ( ( subset @ B @ C )
% 2.52/1.60 => ( subset @ A @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.52/1.60 ------------------------
% 2.52/1.62 % (10964)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_10864 for (2999ds/4Mi)
% 2.52/1.62 % (10967)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_10864 for (2999ds/2Mi)
% 2.52/1.62 % (10966)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/2Mi)
% 2.52/1.62 % (10965)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_10864 for (2999ds/27Mi)
% 2.52/1.62 % (10969)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/18Mi)
% 2.52/1.62 % (10968)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_10864 for (2999ds/275Mi)
% 2.52/1.62 % (10963)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/183Mi)
% 2.52/1.62 % (10966)Instruction limit reached!
% 2.52/1.62 % (10966)------------------------------
% 2.52/1.62 % (10966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.62 % (10966)Termination reason: Unknown
% 2.52/1.62 % (10966)Termination phase: shuffling
% 2.52/1.62
% 2.52/1.62 % (10967)Instruction limit reached!
% 2.52/1.62 % (10967)------------------------------
% 2.52/1.62 % (10967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.62 % (10967)Termination reason: Unknown
% 2.52/1.62 % (10967)Termination phase: shuffling
% 2.52/1.62
% 2.52/1.62 % (10967)Memory used [KB]: 1151
% 2.52/1.62 % (10967)Time elapsed: 0.003 s
% 2.52/1.62 % (10967)Instructions burned: 2 (million)
% 2.52/1.62 % (10967)------------------------------
% 2.52/1.62 % (10967)------------------------------
% 2.52/1.62 % (10966)Memory used [KB]: 1151
% 2.52/1.62 % (10966)Time elapsed: 0.003 s
% 2.52/1.62 % (10966)Instructions burned: 2 (million)
% 2.52/1.62 % (10966)------------------------------
% 2.52/1.62 % (10966)------------------------------
% 2.52/1.62 % (10964)Instruction limit reached!
% 2.52/1.62 % (10964)------------------------------
% 2.52/1.62 % (10964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.62 % (10964)Termination reason: Unknown
% 2.52/1.62 % (10964)Termination phase: shuffling
% 2.52/1.62
% 2.52/1.62 % (10964)Memory used [KB]: 1151
% 2.52/1.62 % (10964)Time elapsed: 0.004 s
% 2.52/1.62 % (10964)Instructions burned: 4 (million)
% 2.52/1.62 % (10964)------------------------------
% 2.52/1.62 % (10964)------------------------------
% 2.52/1.63 % (10969)Instruction limit reached!
% 2.52/1.63 % (10969)------------------------------
% 2.52/1.63 % (10969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.63 % (10969)Termination reason: Unknown
% 2.52/1.63 % (10969)Termination phase: Preprocessing 3
% 2.52/1.63
% 2.52/1.63 % (10969)Memory used [KB]: 1663
% 2.52/1.63 % (10969)Time elapsed: 0.011 s
% 2.52/1.63 % (10969)Instructions burned: 18 (million)
% 2.52/1.63 % (10969)------------------------------
% 2.52/1.63 % (10969)------------------------------
% 2.52/1.64 % (10965)Instruction limit reached!
% 2.52/1.64 % (10965)------------------------------
% 2.52/1.64 % (10965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.64 % (10965)Termination reason: Unknown
% 2.52/1.64 % (10965)Termination phase: Property scanning
% 2.52/1.64
% 2.52/1.64 % (10965)Memory used [KB]: 1407
% 2.52/1.64 % (10965)Time elapsed: 0.015 s
% 2.52/1.64 % (10965)Instructions burned: 28 (million)
% 2.52/1.64 % (10965)------------------------------
% 2.52/1.64 % (10965)------------------------------
% 2.52/1.64 % (10970)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/3Mi)
% 2.52/1.64 % (10971)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_10864 for (2999ds/37Mi)
% 2.52/1.64 % (10972)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_10864 for (2999ds/15Mi)
% 2.52/1.64 % (10970)Instruction limit reached!
% 2.52/1.64 % (10970)------------------------------
% 2.52/1.64 % (10970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.64 % (10970)Termination reason: Unknown
% 2.52/1.64 % (10970)Termination phase: shuffling
% 2.52/1.64
% 2.52/1.64 % (10970)Memory used [KB]: 1151
% 2.52/1.64 % (10970)Time elapsed: 0.003 s
% 2.52/1.64 % (10970)Instructions burned: 3 (million)
% 2.52/1.64 % (10970)------------------------------
% 2.52/1.64 % (10970)------------------------------
% 2.52/1.65 % (10972)Instruction limit reached!
% 2.52/1.65 % (10972)------------------------------
% 2.52/1.65 % (10972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.65 % (10972)Termination reason: Unknown
% 2.52/1.65 % (10972)Termination phase: Preprocessing 3
% 2.52/1.65
% 2.52/1.65 % (10972)Memory used [KB]: 1535
% 2.52/1.65 % (10972)Time elapsed: 0.009 s
% 2.52/1.65 % (10972)Instructions burned: 16 (million)
% 2.52/1.65 % (10972)------------------------------
% 2.52/1.65 % (10972)------------------------------
% 2.52/1.65 % (10973)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_10864 for (2999ds/3Mi)
% 2.52/1.65 % (10973)Instruction limit reached!
% 2.52/1.65 % (10973)------------------------------
% 2.52/1.65 % (10973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.65 % (10973)Termination reason: Unknown
% 2.52/1.65 % (10973)Termination phase: shuffling
% 2.52/1.65
% 2.52/1.65 % (10973)Memory used [KB]: 1151
% 2.52/1.65 % (10973)Time elapsed: 0.003 s
% 2.52/1.65 % (10973)Instructions burned: 3 (million)
% 2.52/1.65 % (10973)------------------------------
% 2.52/1.65 % (10973)------------------------------
% 2.52/1.65 % (10974)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_10864 for (2999ds/1041Mi)
% 2.52/1.66 % (10971)Instruction limit reached!
% 2.52/1.66 % (10971)------------------------------
% 2.52/1.66 % (10971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.66 % (10971)Termination reason: Unknown
% 2.52/1.66 % (10971)Termination phase: Property scanning
% 2.52/1.66
% 2.52/1.66 % (10971)Memory used [KB]: 1535
% 2.52/1.66 % (10971)Time elapsed: 0.018 s
% 2.52/1.66 % (10971)Instructions burned: 38 (million)
% 2.52/1.66 % (10971)------------------------------
% 2.52/1.66 % (10971)------------------------------
% 2.52/1.66 % (10975)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/7Mi)
% 2.52/1.66 % (10975)Instruction limit reached!
% 2.52/1.66 % (10975)------------------------------
% 2.52/1.66 % (10975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.66 % (10975)Termination reason: Unknown
% 2.52/1.66 % (10975)Termination phase: shuffling
% 2.52/1.66
% 2.52/1.66 % (10975)Memory used [KB]: 1279
% 2.52/1.66 % (10975)Time elapsed: 0.005 s
% 2.52/1.66 % (10975)Instructions burned: 8 (million)
% 2.52/1.66 % (10975)------------------------------
% 2.52/1.66 % (10975)------------------------------
% 2.52/1.66 % (10976)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/16Mi)
% 2.52/1.67 % (10977)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_10864 for (2999ds/3Mi)
% 2.52/1.67 % (10977)Instruction limit reached!
% 2.52/1.67 % (10977)------------------------------
% 2.52/1.67 % (10977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.67 % (10977)Termination reason: Unknown
% 2.52/1.67 % (10977)Termination phase: shuffling
% 2.52/1.67
% 2.52/1.67 % (10977)Memory used [KB]: 1151
% 2.52/1.67 % (10977)Time elapsed: 0.003 s
% 2.52/1.67 % (10977)Instructions burned: 4 (million)
% 2.52/1.67 % (10977)------------------------------
% 2.52/1.67 % (10977)------------------------------
% 2.52/1.67 % (10976)Instruction limit reached!
% 2.52/1.67 % (10976)------------------------------
% 2.52/1.67 % (10976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.67 % (10976)Termination reason: Unknown
% 2.52/1.67 % (10976)Termination phase: Property scanning
% 2.52/1.67
% 2.52/1.67 % (10976)Memory used [KB]: 1407
% 2.52/1.67 % (10976)Time elapsed: 0.009 s
% 2.52/1.67 % (10976)Instructions burned: 17 (million)
% 2.52/1.67 % (10976)------------------------------
% 2.52/1.67 % (10976)------------------------------
% 2.52/1.67 % (10978)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_10864 for (2999ds/3Mi)
% 2.52/1.67 % (10978)Instruction limit reached!
% 2.52/1.67 % (10978)------------------------------
% 2.52/1.67 % (10978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.67 % (10978)Termination reason: Unknown
% 2.52/1.67 % (10978)Termination phase: shuffling
% 2.52/1.67
% 2.52/1.67 % (10978)Memory used [KB]: 1151
% 2.52/1.67 % (10978)Time elapsed: 0.003 s
% 2.52/1.67 % (10978)Instructions burned: 3 (million)
% 2.52/1.67 % (10978)------------------------------
% 2.52/1.67 % (10978)------------------------------
% 2.52/1.68 % (10979)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/7Mi)
% 2.52/1.68 % (10979)Instruction limit reached!
% 2.52/1.68 % (10979)------------------------------
% 2.52/1.68 % (10979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.68 % (10979)Termination reason: Unknown
% 2.52/1.68 % (10979)Termination phase: shuffling
% 2.52/1.68
% 2.52/1.68 % (10979)Memory used [KB]: 1279
% 2.52/1.68 % (10979)Time elapsed: 0.005 s
% 2.52/1.68 % (10979)Instructions burned: 8 (million)
% 2.52/1.68 % (10979)------------------------------
% 2.52/1.68 % (10979)------------------------------
% 2.52/1.68 % (10981)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/3Mi)
% 2.52/1.68 % (10981)Instruction limit reached!
% 2.52/1.68 % (10981)------------------------------
% 2.52/1.68 % (10981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.68 % (10981)Termination reason: Unknown
% 2.52/1.68 % (10981)Termination phase: shuffling
% 2.52/1.68
% 2.52/1.68 % (10981)Memory used [KB]: 1151
% 2.52/1.68 % (10981)Time elapsed: 0.003 s
% 2.52/1.68 % (10981)Instructions burned: 4 (million)
% 2.52/1.68 % (10981)------------------------------
% 2.52/1.68 % (10981)------------------------------
% 2.52/1.69 % (10982)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/4Mi)
% 2.52/1.69 % (10982)Instruction limit reached!
% 2.52/1.69 % (10982)------------------------------
% 2.52/1.69 % (10982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.52/1.69 % (10982)Termination reason: Unknown
% 2.52/1.69 % (10982)Termination phase: shuffling
% 2.52/1.69
% 2.52/1.69 % (10982)Memory used [KB]: 1151
% 2.52/1.69 % (10982)Time elapsed: 0.003 s
% 2.52/1.69 % (10982)Instructions burned: 4 (million)
% 2.52/1.69 % (10982)------------------------------
% 2.52/1.69 % (10982)------------------------------
% 2.52/1.69 % (10983)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/18Mi)
% 2.54/1.70 % (10984)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/710Mi)
% 2.54/1.70 % (10983)Instruction limit reached!
% 2.54/1.70 % (10983)------------------------------
% 2.54/1.70 % (10983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.70 % (10983)Termination reason: Unknown
% 2.54/1.70 % (10983)Termination phase: Property scanning
% 2.54/1.70
% 2.54/1.70 % (10983)Memory used [KB]: 1407
% 2.54/1.70 % (10983)Time elapsed: 0.010 s
% 2.54/1.70 % (10983)Instructions burned: 19 (million)
% 2.54/1.70 % (10983)------------------------------
% 2.54/1.70 % (10983)------------------------------
% 2.54/1.70 % (10985)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/6Mi)
% 2.54/1.70 % (10985)Instruction limit reached!
% 2.54/1.70 % (10985)------------------------------
% 2.54/1.70 % (10985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.70 % (10985)Termination reason: Unknown
% 2.54/1.70 % (10985)Termination phase: shuffling
% 2.54/1.70
% 2.54/1.70 % (10985)Memory used [KB]: 1279
% 2.54/1.70 % (10985)Time elapsed: 0.005 s
% 2.54/1.70 % (10985)Instructions burned: 8 (million)
% 2.54/1.70 % (10985)------------------------------
% 2.54/1.70 % (10985)------------------------------
% 2.54/1.70 % (10986)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_10864 for (2999ds/902Mi)
% 2.54/1.71 % (10963)Instruction limit reached!
% 2.54/1.71 % (10963)------------------------------
% 2.54/1.71 % (10963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.71 % (10963)Termination reason: Unknown
% 2.54/1.71 % (10963)Termination phase: Saturation
% 2.54/1.71
% 2.54/1.71 % (10963)Memory used [KB]: 6908
% 2.54/1.71 % (10963)Time elapsed: 0.090 s
% 2.54/1.71 % (10963)Instructions burned: 184 (million)
% 2.54/1.71 % (10963)------------------------------
% 2.54/1.71 % (10963)------------------------------
% 2.54/1.71 % (10987)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_10864 for (2999ds/21Mi)
% 2.54/1.72 % (10988)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_10864 for (2999ds/5Mi)
% 2.54/1.72 % (10988)Instruction limit reached!
% 2.54/1.72 % (10988)------------------------------
% 2.54/1.72 % (10988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.72 % (10988)Termination reason: Unknown
% 2.54/1.72 % (10988)Termination phase: shuffling
% 2.54/1.72
% 2.54/1.72 % (10988)Memory used [KB]: 1279
% 2.54/1.72 % (10988)Time elapsed: 0.004 s
% 2.54/1.72 % (10988)Instructions burned: 6 (million)
% 2.54/1.72 % (10988)------------------------------
% 2.54/1.72 % (10988)------------------------------
% 2.54/1.72 % (10987)Instruction limit reached!
% 2.54/1.72 % (10987)------------------------------
% 2.54/1.72 % (10987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.72 % (10987)Termination reason: Unknown
% 2.54/1.72 % (10987)Termination phase: Property scanning
% 2.54/1.72
% 2.54/1.72 % (10987)Memory used [KB]: 1407
% 2.54/1.72 % (10987)Time elapsed: 0.011 s
% 2.54/1.72 % (10987)Instructions burned: 21 (million)
% 2.54/1.72 % (10987)------------------------------
% 2.54/1.72 % (10987)------------------------------
% 2.54/1.73 % (10989)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_10864 for (2999ds/6Mi)
% 2.54/1.73 % (10989)Instruction limit reached!
% 2.54/1.73 % (10989)------------------------------
% 2.54/1.73 % (10989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.73 % (10989)Termination reason: Unknown
% 2.54/1.73 % (10989)Termination phase: shuffling
% 2.54/1.73
% 2.54/1.73 % (10989)Memory used [KB]: 1279
% 2.54/1.73 % (10989)Time elapsed: 0.005 s
% 2.54/1.73 % (10989)Instructions burned: 6 (million)
% 2.54/1.73 % (10989)------------------------------
% 2.54/1.73 % (10989)------------------------------
% 2.54/1.74 % (10990)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_10864 for (2998ds/377Mi)
% 2.54/1.74 % (10991)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_10864 for (2998ds/779Mi)
% 2.54/1.75 % (10992)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_10864 for (2998ds/19Mi)
% 2.54/1.75 % (10986)Refutation not found, incomplete strategy
% 2.54/1.75 % (10986)------------------------------
% 2.54/1.75 % (10986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.75 % (10986)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.75
% 2.54/1.75
% 2.54/1.75 % (10986)Memory used [KB]: 6908
% 2.54/1.75 % (10986)Time elapsed: 0.047 s
% 2.54/1.75 % (10986)Instructions burned: 90 (million)
% 2.54/1.75 % (10986)------------------------------
% 2.54/1.75 % (10986)------------------------------
% 2.54/1.76 % (10992)Instruction limit reached!
% 2.54/1.76 % (10992)------------------------------
% 2.54/1.76 % (10992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.76 % (10992)Termination reason: Unknown
% 2.54/1.76 % (10992)Termination phase: Property scanning
% 2.54/1.76
% 2.54/1.76 % (10992)Memory used [KB]: 1407
% 2.54/1.76 % (10992)Time elapsed: 0.011 s
% 2.54/1.76 % (10992)Instructions burned: 20 (million)
% 2.54/1.76 % (10992)------------------------------
% 2.54/1.76 % (10992)------------------------------
% 2.54/1.76 % (10968)Instruction limit reached!
% 2.54/1.76 % (10968)------------------------------
% 2.54/1.76 % (10968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.76 % (10968)Termination reason: Unknown
% 2.54/1.76 % (10968)Termination phase: Saturation
% 2.54/1.76
% 2.54/1.76 % (10968)Memory used [KB]: 7419
% 2.54/1.76 % (10968)Time elapsed: 0.140 s
% 2.54/1.76 % (10968)Instructions burned: 275 (million)
% 2.54/1.76 % (10968)------------------------------
% 2.54/1.76 % (10968)------------------------------
% 2.54/1.77 % (10993)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_10864 for (2998ds/879Mi)
% 2.54/1.77 % (10994)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_10864 for (2998ds/17Mi)
% 2.54/1.78 % (10995)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_10864 for (2998ds/3Mi)
% 2.54/1.78 % (10995)Instruction limit reached!
% 2.54/1.78 % (10995)------------------------------
% 2.54/1.78 % (10995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.78 % (10995)Termination reason: Unknown
% 2.54/1.78 % (10995)Termination phase: shuffling
% 2.54/1.78
% 2.54/1.78 % (10995)Memory used [KB]: 1151
% 2.54/1.78 % (10995)Time elapsed: 0.003 s
% 2.54/1.78 % (10995)Instructions burned: 3 (million)
% 2.54/1.78 % (10995)------------------------------
% 2.54/1.78 % (10995)------------------------------
% 2.54/1.78 % (10994)Instruction limit reached!
% 2.54/1.78 % (10994)------------------------------
% 2.54/1.78 % (10994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.78 % (10994)Termination reason: Unknown
% 2.54/1.78 % (10994)Termination phase: Property scanning
% 2.54/1.78
% 2.54/1.78 % (10994)Memory used [KB]: 1407
% 2.54/1.78 % (10994)Time elapsed: 0.010 s
% 2.54/1.78 % (10994)Instructions burned: 18 (million)
% 2.54/1.78 % (10994)------------------------------
% 2.54/1.78 % (10994)------------------------------
% 2.54/1.80 % (10996)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_10864 for (2998ds/30Mi)
% 2.54/1.80 % (10997)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_10864 for (2998ds/127Mi)
% 2.54/1.81 % (10996)Instruction limit reached!
% 2.54/1.81 % (10996)------------------------------
% 2.54/1.81 % (10996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.81 % (10996)Termination reason: Unknown
% 2.54/1.81 % (10996)Termination phase: Function definition elimination
% 2.54/1.81
% 2.54/1.81 % (10996)Memory used [KB]: 1535
% 2.54/1.81 % (10996)Time elapsed: 0.016 s
% 2.54/1.81 % (10996)Instructions burned: 31 (million)
% 2.54/1.81 % (10996)------------------------------
% 2.54/1.81 % (10996)------------------------------
% 2.54/1.83 % (10998)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_10864 for (2998ds/100Mi)
% 2.54/1.86 % (10997)Instruction limit reached!
% 2.54/1.86 % (10997)------------------------------
% 2.54/1.86 % (10997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.86 % (10997)Termination reason: Unknown
% 2.54/1.86 % (10997)Termination phase: Saturation
% 2.54/1.86
% 2.54/1.86 % (10997)Memory used [KB]: 6652
% 2.54/1.86 % (10997)Time elapsed: 0.085 s
% 2.54/1.86 % (10997)Instructions burned: 128 (million)
% 2.54/1.86 % (10997)------------------------------
% 2.54/1.86 % (10997)------------------------------
% 2.54/1.87 % (10998)Instruction limit reached!
% 2.54/1.87 % (10998)------------------------------
% 2.54/1.87 % (10998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.87 % (10998)Termination reason: Unknown
% 2.54/1.87 % (10998)Termination phase: Saturation
% 2.54/1.87
% 2.54/1.87 % (10998)Memory used [KB]: 6268
% 2.54/1.87 % (10998)Time elapsed: 0.049 s
% 2.54/1.87 % (10998)Instructions burned: 101 (million)
% 2.54/1.87 % (10998)------------------------------
% 2.54/1.87 % (10998)------------------------------
% 2.54/1.88 % (10999)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_10864 for (2997ds/3Mi)
% 2.54/1.88 % (10999)Instruction limit reached!
% 2.54/1.88 % (10999)------------------------------
% 2.54/1.88 % (10999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.88 % (10999)Termination reason: Unknown
% 2.54/1.88 % (10999)Termination phase: shuffling
% 2.54/1.88
% 2.54/1.88 % (10999)Memory used [KB]: 1151
% 2.54/1.88 % (10999)Time elapsed: 0.003 s
% 2.54/1.88 % (10999)Instructions burned: 3 (million)
% 2.54/1.88 % (10999)------------------------------
% 2.54/1.88 % (10999)------------------------------
% 2.54/1.89 % (11000)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_10864 for (2997ds/20Mi)
% 2.54/1.89 % (11001)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_10864 for (2997ds/86Mi)
% 2.54/1.90 % (11000)Instruction limit reached!
% 2.54/1.90 % (11000)------------------------------
% 2.54/1.90 % (11000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.90 % (11000)Termination reason: Unknown
% 2.54/1.90 % (11000)Termination phase: Preprocessing 3
% 2.54/1.90
% 2.54/1.90 % (11000)Memory used [KB]: 1535
% 2.54/1.90 % (11000)Time elapsed: 0.012 s
% 2.54/1.90 % (11000)Instructions burned: 21 (million)
% 2.54/1.90 % (11000)------------------------------
% 2.54/1.90 % (11000)------------------------------
% 2.54/1.91 % (10990)Instruction limit reached!
% 2.54/1.91 % (10990)------------------------------
% 2.54/1.91 % (10990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.91 % (10990)Termination reason: Unknown
% 2.54/1.91 % (10990)Termination phase: Saturation
% 2.54/1.91
% 2.54/1.91 % (10990)Memory used [KB]: 7036
% 2.54/1.91 % (10990)Time elapsed: 0.174 s
% 2.54/1.91 % (10990)Instructions burned: 379 (million)
% 2.54/1.91 % (10990)------------------------------
% 2.54/1.91 % (10990)------------------------------
% 2.54/1.92 % (11002)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_10864 for (2996ds/107Mi)
% 2.54/1.93 % (11003)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_10864 for (2996ds/39Mi)
% 2.54/1.93 % (11001)Instruction limit reached!
% 2.54/1.93 % (11001)------------------------------
% 2.54/1.93 % (11001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.93 % (11001)Termination reason: Unknown
% 2.54/1.93 % (11001)Termination phase: Saturation
% 2.54/1.93
% 2.54/1.93 % (11001)Memory used [KB]: 6396
% 2.54/1.93 % (11001)Time elapsed: 0.040 s
% 2.54/1.93 % (11001)Instructions burned: 86 (million)
% 2.54/1.93 % (11001)------------------------------
% 2.54/1.93 % (11001)------------------------------
% 2.54/1.95 % (11003)Instruction limit reached!
% 2.54/1.95 % (11003)------------------------------
% 2.54/1.95 % (11003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.95 % (11003)Termination reason: Unknown
% 2.54/1.95 % (11003)Termination phase: Property scanning
% 2.54/1.95
% 2.54/1.95 % (11003)Memory used [KB]: 1535
% 2.54/1.95 % (11003)Time elapsed: 0.019 s
% 2.54/1.95 % (11003)Instructions burned: 39 (million)
% 2.54/1.95 % (11003)------------------------------
% 2.54/1.95 % (11003)------------------------------
% 2.54/1.95 % (11004)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_10864 for (2996ds/448Mi)
% 2.54/1.96 % (11005)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_10864 for (2996ds/46Mi)
% 2.54/1.97 % (11002)Instruction limit reached!
% 2.54/1.97 % (11002)------------------------------
% 2.54/1.97 % (11002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.97 % (11002)Termination reason: Unknown
% 2.54/1.97 % (11002)Termination phase: Saturation
% 2.54/1.97
% 2.54/1.97 % (11002)Memory used [KB]: 6524
% 2.54/1.97 % (11002)Time elapsed: 0.050 s
% 2.54/1.97 % (11002)Instructions burned: 107 (million)
% 2.54/1.97 % (11002)------------------------------
% 2.54/1.97 % (11002)------------------------------
% 2.54/1.98 % (11006)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_10864 for (2996ds/98Mi)
% 2.54/1.98 % (11005)Instruction limit reached!
% 2.54/1.98 % (11005)------------------------------
% 2.54/1.98 % (11005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/1.98 % (11005)Termination reason: Unknown
% 2.54/1.98 % (11005)Termination phase: Property scanning
% 2.54/1.98
% 2.54/1.98 % (11005)Memory used [KB]: 1535
% 2.54/1.98 % (11005)Time elapsed: 0.023 s
% 2.54/1.98 % (11005)Instructions burned: 47 (million)
% 2.54/1.98 % (11005)------------------------------
% 2.54/1.98 % (11005)------------------------------
% 2.54/2.00 % (11007)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_10864 for (2996ds/507Mi)
% 2.54/2.02 % (11006)Instruction limit reached!
% 2.54/2.02 % (11006)------------------------------
% 2.54/2.02 % (11006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.54/2.02 % (11006)Termination reason: Unknown
% 2.54/2.02 % (11006)Termination phase: Saturation
% 2.54/2.02
% 2.54/2.02 % (11006)Memory used [KB]: 1663
% 2.54/2.02 % (11006)Time elapsed: 0.044 s
% 2.54/2.02 % (11006)Instructions burned: 99 (million)
% 2.54/2.02 % (11006)------------------------------
% 2.54/2.02 % (11006)------------------------------
% 5.36/2.04 % (10991)Instruction limit reached!
% 5.36/2.04 % (10991)------------------------------
% 5.36/2.04 % (10991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.36/2.04 % (10991)Termination reason: Unknown
% 5.36/2.04 % (10991)Termination phase: Saturation
% 5.36/2.04
% 5.36/2.04 % (10991)Memory used [KB]: 6652
% 5.36/2.04 % (10991)Time elapsed: 0.300 s
% 5.36/2.04 % (10991)Instructions burned: 780 (million)
% 5.36/2.04 % (10991)------------------------------
% 5.36/2.04 % (10991)------------------------------
% 5.36/2.04 % (11008)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_10864 for (2995ds/149Mi)
% 5.36/2.04 % (10974)Instruction limit reached!
% 5.36/2.04 % (10974)------------------------------
% 5.36/2.04 % (10974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.36/2.04 % (10974)Termination reason: Unknown
% 5.36/2.04 % (10974)Termination phase: Saturation
% 5.36/2.04
% 5.36/2.04 % (10974)Memory used [KB]: 7291
% 5.36/2.04 % (10974)Time elapsed: 0.393 s
% 5.36/2.04 % (10974)Instructions burned: 1042 (million)
% 5.36/2.04 % (10974)------------------------------
% 5.36/2.04 % (10974)------------------------------
% 5.36/2.06 % (11009)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_10864 for (2995ds/39Mi)
% 5.36/2.06 % (10984)Instruction limit reached!
% 5.36/2.06 % (10984)------------------------------
% 5.36/2.06 % (10984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.36/2.06 % (10984)Termination reason: Unknown
% 5.36/2.06 % (10984)Termination phase: Saturation
% 5.36/2.06
% 5.36/2.06 % (10984)Memory used [KB]: 8187
% 5.36/2.06 % (10984)Time elapsed: 0.363 s
% 5.36/2.06 % (10984)Instructions burned: 711 (million)
% 5.36/2.06 % (10984)------------------------------
% 5.36/2.06 % (10984)------------------------------
% 5.36/2.06 % (11010)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_10864 for (2995ds/6Mi)
% 5.36/2.06 % (11010)Instruction limit reached!
% 5.36/2.06 % (11010)------------------------------
% 5.36/2.06 % (11010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.36/2.06 % (11010)Termination reason: Unknown
% 5.36/2.06 % (11010)Termination phase: shuffling
% 5.36/2.06
% 5.36/2.06 % (11010)Memory used [KB]: 1279
% 5.36/2.06 % (11010)Time elapsed: 0.004 s
% 5.36/2.06 % (11010)Instructions burned: 6 (million)
% 5.36/2.06 % (11010)------------------------------
% 5.36/2.06 % (11010)------------------------------
% 5.36/2.07 % (11009)Instruction limit reached!
% 5.36/2.07 % (11009)------------------------------
% 5.36/2.07 % (11009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.36/2.07 % (11009)Termination reason: Unknown
% 5.36/2.07 % (11009)Termination phase: Property scanning
% 5.36/2.07
% 5.36/2.07 % (11009)Memory used [KB]: 1535
% 5.36/2.07 % (11009)Time elapsed: 0.020 s
% 5.36/2.07 % (11009)Instructions burned: 41 (million)
% 5.36/2.07 % (11009)------------------------------
% 5.36/2.07 % (11009)------------------------------
% 5.36/2.08 % (11011)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_10864 for (2995ds/1087Mi)
% 5.36/2.08 % (11012)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_10864 for (2995ds/47Mi)
% 5.36/2.09 % (11013)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_10864 for (2995ds/44Mi)
% 5.36/2.10 % (11012)Instruction limit reached!
% 5.36/2.10 % (11012)------------------------------
% 5.36/2.10 % (11012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.36/2.10 % (11012)Termination reason: Unknown
% 5.36/2.10 % (11012)Termination phase: Saturation
% 5.36/2.10
% 5.36/2.10 % (11012)Memory used [KB]: 6012
% 5.36/2.10 % (11012)Time elapsed: 0.022 s
% 5.36/2.10 % (11012)Instructions burned: 47 (million)
% 5.36/2.10 % (11012)------------------------------
% 5.36/2.10 % (11012)------------------------------
% 5.36/2.11 % (11013)Instruction limit reached!
% 5.36/2.11 % (11013)------------------------------
% 5.36/2.11 % (11013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.36/2.11 % (11013)Termination reason: Unknown
% 5.36/2.11 % (11013)Termination phase: Property scanning
% 5.36/2.11
% 5.36/2.11 % (11013)Memory used [KB]: 1535
% 5.36/2.11 % (11013)Time elapsed: 0.021 s
% 5.36/2.11 % (11013)Instructions burned: 45 (million)
% 5.36/2.11 % (11013)------------------------------
% 5.36/2.11 % (11013)------------------------------
% 5.36/2.11 % (11008)Instruction limit reached!
% 5.36/2.11 % (11008)------------------------------
% 5.36/2.11 % (11008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.36/2.11 % (11008)Termination reason: Unknown
% 5.36/2.11 % (11008)Termination phase: Saturation
% 5.36/2.11
% 5.36/2.11 % (11008)Memory used [KB]: 6652
% 5.36/2.11 % (11008)Time elapsed: 0.074 s
% 5.36/2.11 % (11008)Instructions burned: 149 (million)
% 5.36/2.11 % (11008)------------------------------
% 5.36/2.11 % (11008)------------------------------
% 5.36/2.11 % (11014)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_10864 for (2995ds/432Mi)
% 5.36/2.12 % (11004)Instruction limit reached!
% 5.36/2.12 % (11004)------------------------------
% 5.36/2.12 % (11004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.36/2.12 % (11004)Termination reason: Unknown
% 5.36/2.12 % (11004)Termination phase: Saturation
% 5.36/2.12
% 5.36/2.12 % (11004)Memory used [KB]: 6396
% 5.36/2.12 % (11004)Time elapsed: 0.170 s
% 5.36/2.12 % (11004)Instructions burned: 450 (million)
% 5.36/2.12 % (11004)------------------------------
% 5.36/2.12 % (11004)------------------------------
% 6.00/2.13 % (11015)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_10864 for (2995ds/62Mi)
% 6.00/2.13 % (11016)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_10864 for (2994ds/31Mi)
% 6.00/2.13 % (11017)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_10864 for (2994ds/96Mi)
% 6.00/2.14 % (11016)Instruction limit reached!
% 6.00/2.14 % (11016)------------------------------
% 6.00/2.14 % (11016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.14 % (11016)Termination reason: Unknown
% 6.00/2.14 % (11016)Termination phase: Function definition elimination
% 6.00/2.14
% 6.00/2.14 % (11016)Memory used [KB]: 1535
% 6.00/2.14 % (11016)Time elapsed: 0.016 s
% 6.00/2.14 % (11016)Instructions burned: 33 (million)
% 6.00/2.14 % (11016)------------------------------
% 6.00/2.14 % (11016)------------------------------
% 6.00/2.15 % (11015)Instruction limit reached!
% 6.00/2.15 % (11015)------------------------------
% 6.00/2.15 % (11015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.15 % (11015)Termination reason: Unknown
% 6.00/2.15 % (11015)Termination phase: Saturation
% 6.00/2.15
% 6.00/2.15 % (11015)Memory used [KB]: 6012
% 6.00/2.15 % (11015)Time elapsed: 0.029 s
% 6.00/2.15 % (11015)Instructions burned: 63 (million)
% 6.00/2.15 % (11015)------------------------------
% 6.00/2.15 % (11015)------------------------------
% 6.00/2.16 % (11018)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_10864 for (2994ds/453Mi)
% 6.00/2.17 % (11019)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_10864 for (2994ds/71Mi)
% 6.00/2.18 % (11017)Instruction limit reached!
% 6.00/2.18 % (11017)------------------------------
% 6.00/2.18 % (11017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.18 % (11017)Termination reason: Unknown
% 6.00/2.18 % (11017)Termination phase: Saturation
% 6.00/2.18
% 6.00/2.18 % (11017)Memory used [KB]: 6524
% 6.00/2.18 % (11017)Time elapsed: 0.045 s
% 6.00/2.18 % (11017)Instructions burned: 96 (million)
% 6.00/2.18 % (11017)------------------------------
% 6.00/2.18 % (11017)------------------------------
% 6.00/2.19 % (11020)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_10864 for (2994ds/83Mi)
% 6.29/2.20 % (11019)Instruction limit reached!
% 6.29/2.20 % (11019)------------------------------
% 6.29/2.20 % (11019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.29/2.20 % (11019)Termination reason: Unknown
% 6.29/2.20 % (11019)Termination phase: Saturation
% 6.29/2.20
% 6.29/2.20 % (11019)Memory used [KB]: 6268
% 6.29/2.20 % (11019)Time elapsed: 0.035 s
% 6.29/2.20 % (11019)Instructions burned: 72 (million)
% 6.29/2.20 % (11019)------------------------------
% 6.29/2.20 % (11019)------------------------------
% 6.29/2.21 % (10993)Instruction limit reached!
% 6.29/2.21 % (10993)------------------------------
% 6.29/2.21 % (10993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.29/2.21 % (10993)Termination reason: Unknown
% 6.29/2.21 % (10993)Termination phase: Saturation
% 6.29/2.21
% 6.29/2.21 % (10993)Memory used [KB]: 7547
% 6.29/2.21 % (10993)Time elapsed: 0.462 s
% 6.29/2.21 % (10993)Instructions burned: 879 (million)
% 6.29/2.21 % (10993)------------------------------
% 6.29/2.21 % (10993)------------------------------
% 6.29/2.22 % (11021)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_10864 for (2993ds/11Mi)
% 6.29/2.22 % (11022)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_10864 for (2993ds/41Mi)
% 6.29/2.22 % (11021)Instruction limit reached!
% 6.29/2.22 % (11021)------------------------------
% 6.29/2.22 % (11021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.29/2.22 % (11021)Termination reason: Unknown
% 6.29/2.22 % (11021)Termination phase: shuffling
% 6.29/2.22
% 6.29/2.22 % (11021)Memory used [KB]: 1407
% 6.29/2.22 % (11021)Time elapsed: 0.007 s
% 6.29/2.22 % (11021)Instructions burned: 11 (million)
% 6.29/2.22 % (11021)------------------------------
% 6.29/2.22 % (11021)------------------------------
% 6.29/2.23 % (11020)Instruction limit reached!
% 6.29/2.23 % (11020)------------------------------
% 6.29/2.23 % (11020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.29/2.23 % (11020)Termination reason: Unknown
% 6.29/2.23 % (11020)Termination phase: Saturation
% 6.29/2.23
% 6.29/2.23 % (11020)Memory used [KB]: 6268
% 6.29/2.23 % (11020)Time elapsed: 0.040 s
% 6.29/2.23 % (11020)Instructions burned: 84 (million)
% 6.29/2.23 % (11020)------------------------------
% 6.29/2.23 % (11020)------------------------------
% 6.29/2.24 % (11023)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_10864 for (2993ds/6Mi)
% 6.29/2.24 % (11022)Instruction limit reached!
% 6.29/2.24 % (11022)------------------------------
% 6.29/2.24 % (11022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.29/2.24 % (11022)Termination reason: Unknown
% 6.29/2.24 % (11022)Termination phase: Property scanning
% 6.29/2.24
% 6.29/2.24 % (11022)Memory used [KB]: 1535
% 6.29/2.24 % (11022)Time elapsed: 0.020 s
% 6.29/2.24 % (11022)Instructions burned: 43 (million)
% 6.29/2.24 % (11022)------------------------------
% 6.29/2.24 % (11022)------------------------------
% 6.29/2.24 % (11023)Instruction limit reached!
% 6.29/2.24 % (11023)------------------------------
% 6.29/2.24 % (11023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.29/2.24 % (11023)Termination reason: Unknown
% 6.29/2.24 % (11023)Termination phase: shuffling
% 6.29/2.24
% 6.29/2.24 % (11023)Memory used [KB]: 1279
% 6.29/2.24 % (11023)Time elapsed: 0.005 s
% 6.29/2.24 % (11023)Instructions burned: 7 (million)
% 6.29/2.24 % (11023)------------------------------
% 6.29/2.24 % (11023)------------------------------
% 6.29/2.25 % (11007)Instruction limit reached!
% 6.29/2.25 % (11007)------------------------------
% 6.29/2.25 % (11007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.29/2.25 % (11007)Termination reason: Unknown
% 6.29/2.25 % (11007)Termination phase: Saturation
% 6.29/2.25
% 6.29/2.25 % (11007)Memory used [KB]: 6780
% 6.29/2.25 % (11007)Time elapsed: 0.248 s
% 6.29/2.25 % (11007)Instructions burned: 507 (million)
% 6.29/2.25 % (11007)------------------------------
% 6.29/2.25 % (11007)------------------------------
% 6.29/2.25 % (11024)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_10864 for (2993ds/150Mi)
% 6.29/2.26 % (11025)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_10864 for (2993ds/343Mi)
% 6.29/2.26 % (11026)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_10864 for (2993ds/109Mi)
% 6.29/2.26 % (11027)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_10864 for (2993ds/253Mi)
% 6.29/2.29 % (11014)Instruction limit reached!
% 6.29/2.29 % (11014)------------------------------
% 6.29/2.29 % (11014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.29/2.29 % (11014)Termination reason: Unknown
% 6.29/2.29 % (11014)Termination phase: Saturation
% 6.29/2.29
% 6.29/2.29 % (11014)Memory used [KB]: 2430
% 6.29/2.29 % (11014)Time elapsed: 0.173 s
% 6.29/2.29 % (11014)Instructions burned: 432 (million)
% 6.29/2.29 % (11014)------------------------------
% 6.29/2.29 % (11014)------------------------------
% 6.74/2.30 % (11028)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_10864 for (2993ds/140Mi)
% 6.74/2.31 % (11026)Instruction limit reached!
% 6.74/2.31 % (11026)------------------------------
% 6.74/2.31 % (11026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.74/2.31 % (11026)Termination reason: Unknown
% 6.74/2.31 % (11026)Termination phase: Saturation
% 6.74/2.31
% 6.74/2.31 % (11026)Memory used [KB]: 6652
% 6.74/2.31 % (11026)Time elapsed: 0.051 s
% 6.74/2.31 % (11026)Instructions burned: 110 (million)
% 6.74/2.31 % (11026)------------------------------
% 6.74/2.31 % (11026)------------------------------
% 6.74/2.32 % (11024)Instruction limit reached!
% 6.74/2.32 % (11024)------------------------------
% 6.74/2.32 % (11024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.74/2.32 % (11024)Termination reason: Unknown
% 6.74/2.32 % (11024)Termination phase: Saturation
% 6.74/2.32
% 6.74/2.32 % (11024)Memory used [KB]: 6908
% 6.74/2.32 % (11024)Time elapsed: 0.076 s
% 6.74/2.32 % (11024)Instructions burned: 150 (million)
% 6.74/2.32 % (11024)------------------------------
% 6.74/2.32 % (11024)------------------------------
% 6.74/2.33 % (11029)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_10864 for (2992ds/614Mi)
% 6.74/2.34 % (11018)Instruction limit reached!
% 6.74/2.34 % (11018)------------------------------
% 6.74/2.34 % (11018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.74/2.34 % (11018)Termination reason: Unknown
% 6.74/2.34 % (11018)Termination phase: Saturation
% 6.74/2.34
% 6.74/2.34 % (11018)Memory used [KB]: 6140
% 6.74/2.34 % (11018)Time elapsed: 0.177 s
% 6.74/2.34 % (11018)Instructions burned: 454 (million)
% 6.74/2.34 % (11018)------------------------------
% 6.74/2.34 % (11018)------------------------------
% 6.74/2.34 % (11030)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_10864 for (2992ds/202Mi)
% 6.74/2.35 % (11028)Refutation not found, incomplete strategy
% 6.74/2.35 % (11028)------------------------------
% 6.74/2.35 % (11028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.74/2.35 % (11028)Termination reason: Refutation not found, incomplete strategy
% 6.74/2.35
% 6.74/2.35
% 6.74/2.35 % (11028)Memory used [KB]: 6140
% 6.74/2.35 % (11028)Time elapsed: 0.046 s
% 6.74/2.35 % (11028)Instructions burned: 98 (million)
% 6.74/2.35 % (11028)------------------------------
% 6.74/2.35 % (11028)------------------------------
% 6.74/2.35 % (11031)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_10864 for (2992ds/339Mi)
% 6.74/2.36 % (11032)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_10864 for (2992ds/283Mi)
% 6.74/2.39 % (11027)Instruction limit reached!
% 6.74/2.39 % (11027)------------------------------
% 6.74/2.39 % (11027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.74/2.39 % (11027)Termination reason: Unknown
% 6.74/2.39 % (11027)Termination phase: Saturation
% 6.74/2.39
% 6.74/2.39 % (11027)Memory used [KB]: 7547
% 6.74/2.39 % (11027)Time elapsed: 0.126 s
% 6.74/2.39 % (11027)Instructions burned: 254 (million)
% 6.74/2.39 % (11027)------------------------------
% 6.74/2.39 % (11027)------------------------------
% 7.28/2.40 % (11033)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_10864 for (2992ds/134Mi)
% 7.28/2.42 % (11025)Instruction limit reached!
% 7.28/2.42 % (11025)------------------------------
% 7.28/2.42 % (11025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.42 % (11025)Termination reason: Unknown
% 7.28/2.42 % (11025)Termination phase: Saturation
% 7.28/2.42
% 7.28/2.42 % (11025)Memory used [KB]: 7036
% 7.28/2.42 % (11025)Time elapsed: 0.168 s
% 7.28/2.42 % (11025)Instructions burned: 345 (million)
% 7.28/2.42 % (11025)------------------------------
% 7.28/2.42 % (11025)------------------------------
% 7.28/2.44 % (11034)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_10864 for (2991ds/298Mi)
% 7.28/2.44 % (11030)Instruction limit reached!
% 7.28/2.44 % (11030)------------------------------
% 7.28/2.44 % (11030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.44 % (11030)Termination reason: Unknown
% 7.28/2.44 % (11030)Termination phase: Saturation
% 7.28/2.44
% 7.28/2.44 % (11030)Memory used [KB]: 7419
% 7.28/2.44 % (11030)Time elapsed: 0.106 s
% 7.28/2.44 % (11030)Instructions burned: 203 (million)
% 7.28/2.44 % (11030)------------------------------
% 7.28/2.44 % (11030)------------------------------
% 7.28/2.46 % (11035)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_10864 for (2991ds/192Mi)
% 7.28/2.47 % (11033)Instruction limit reached!
% 7.28/2.47 % (11033)------------------------------
% 7.28/2.47 % (11033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.47 % (11033)Termination reason: Unknown
% 7.28/2.47 % (11033)Termination phase: Saturation
% 7.28/2.47
% 7.28/2.47 % (11033)Memory used [KB]: 6780
% 7.28/2.47 % (11033)Time elapsed: 0.066 s
% 7.28/2.47 % (11033)Instructions burned: 135 (million)
% 7.28/2.47 % (11033)------------------------------
% 7.28/2.47 % (11033)------------------------------
% 7.28/2.48 % (11032)Instruction limit reached!
% 7.28/2.48 % (11032)------------------------------
% 7.28/2.48 % (11032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.48 % (11032)Termination reason: Unknown
% 7.28/2.48 % (11032)Termination phase: Saturation
% 7.28/2.48
% 7.28/2.48 % (11032)Memory used [KB]: 7675
% 7.28/2.48 % (11032)Time elapsed: 0.113 s
% 7.28/2.48 % (11032)Instructions burned: 283 (million)
% 7.28/2.48 % (11032)------------------------------
% 7.28/2.48 % (11032)------------------------------
% 7.28/2.48 % (11036)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_10864 for (2991ds/258Mi)
% 7.28/2.49 % (11037)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_10864 for (2991ds/90Mi)
% 7.79/2.51 % (11031)Instruction limit reached!
% 7.79/2.51 % (11031)------------------------------
% 7.79/2.51 % (11031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.79/2.51 % (11031)Termination reason: Unknown
% 7.79/2.51 % (11031)Termination phase: Saturation
% 7.79/2.51
% 7.79/2.51 % (11031)Memory used [KB]: 7675
% 7.79/2.51 % (11031)Time elapsed: 0.164 s
% 7.79/2.51 % (11031)Instructions burned: 340 (million)
% 7.79/2.51 % (11031)------------------------------
% 7.79/2.51 % (11031)------------------------------
% 7.79/2.53 % (11038)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_10864 for (2990ds/231Mi)
% 7.79/2.53 % (11037)Instruction limit reached!
% 7.79/2.53 % (11037)------------------------------
% 7.79/2.53 % (11037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.79/2.53 % (11037)Termination reason: Unknown
% 7.79/2.53 % (11037)Termination phase: Saturation
% 7.79/2.53
% 7.79/2.53 % (11037)Memory used [KB]: 6524
% 7.79/2.53 % (11037)Time elapsed: 0.044 s
% 7.79/2.53 % (11037)Instructions burned: 91 (million)
% 7.79/2.53 % (11037)------------------------------
% 7.79/2.53 % (11037)------------------------------
% 7.79/2.55 % (11039)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_10864 for (2990ds/458Mi)
% 7.79/2.55 % (11035)Instruction limit reached!
% 7.79/2.55 % (11035)------------------------------
% 7.79/2.55 % (11035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.79/2.55 % (11035)Termination reason: Unknown
% 7.79/2.55 % (11035)Termination phase: Saturation
% 7.79/2.55
% 7.79/2.55 % (11035)Memory used [KB]: 6908
% 7.79/2.55 % (11035)Time elapsed: 0.095 s
% 7.79/2.55 % (11035)Instructions burned: 192 (million)
% 7.79/2.55 % (11035)------------------------------
% 7.79/2.55 % (11035)------------------------------
% 7.79/2.57 % (11034)Instruction limit reached!
% 7.79/2.57 % (11034)------------------------------
% 7.79/2.57 % (11034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.79/2.57 % (11034)Termination reason: Unknown
% 7.79/2.57 % (11034)Termination phase: Saturation
% 7.79/2.57
% 7.79/2.57 % (11034)Memory used [KB]: 6396
% 7.79/2.57 % (11034)Time elapsed: 0.127 s
% 7.79/2.57 % (11034)Instructions burned: 299 (million)
% 7.79/2.57 % (11034)------------------------------
% 7.79/2.57 % (11034)------------------------------
% 7.79/2.57 % (11040)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_10864 for (2990ds/31Mi)
% 7.79/2.58 % (11040)Instruction limit reached!
% 7.79/2.58 % (11040)------------------------------
% 7.79/2.58 % (11040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.79/2.58 % (11040)Termination reason: Unknown
% 7.79/2.58 % (11040)Termination phase: Function definition elimination
% 7.79/2.58
% 7.79/2.58 % (11040)Memory used [KB]: 1535
% 7.79/2.58 % (11040)Time elapsed: 0.016 s
% 7.79/2.58 % (11040)Instructions burned: 31 (million)
% 7.79/2.58 % (11040)------------------------------
% 7.79/2.58 % (11040)------------------------------
% 7.79/2.58 % (11041)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_10864 for (2990ds/297Mi)
% 8.31/2.60 % (11042)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_10864 for (2990ds/987Mi)
% 8.31/2.61 % (11036)Instruction limit reached!
% 8.31/2.61 % (11036)------------------------------
% 8.31/2.61 % (11036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.31/2.61 % (11036)Termination reason: Unknown
% 8.31/2.61 % (11036)Termination phase: Saturation
% 8.31/2.61
% 8.31/2.61 % (11036)Memory used [KB]: 6908
% 8.31/2.61 % (11036)Time elapsed: 0.126 s
% 8.31/2.61 % (11036)Instructions burned: 258 (million)
% 8.31/2.61 % (11036)------------------------------
% 8.31/2.61 % (11036)------------------------------
% 8.31/2.62 % (11011)Instruction limit reached!
% 8.31/2.62 % (11011)------------------------------
% 8.31/2.62 % (11011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.31/2.62 % (11011)Termination reason: Unknown
% 8.31/2.62 % (11011)Termination phase: Saturation
% 8.31/2.62
% 8.31/2.62 % (11011)Memory used [KB]: 9722
% 8.31/2.62 % (11011)Time elapsed: 0.571 s
% 8.31/2.62 % (11011)Instructions burned: 1088 (million)
% 8.31/2.62 % (11011)------------------------------
% 8.31/2.62 % (11011)------------------------------
% 8.31/2.63 % (11043)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_10864 for (2990ds/182Mi)
% 8.31/2.63 % (11029)Instruction limit reached!
% 8.31/2.63 % (11029)------------------------------
% 8.31/2.63 % (11029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.31/2.63 % (11029)Termination reason: Unknown
% 8.31/2.63 % (11029)Termination phase: Saturation
% 8.31/2.63
% 8.31/2.63 % (11029)Memory used [KB]: 7547
% 8.31/2.63 % (11029)Time elapsed: 0.305 s
% 8.31/2.63 % (11029)Instructions burned: 614 (million)
% 8.31/2.63 % (11029)------------------------------
% 8.31/2.63 % (11029)------------------------------
% 8.31/2.64 % (11044)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_10864 for (2989ds/182Mi)
% 8.31/2.65 % (11045)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_10864 for (2989ds/154Mi)
% 8.31/2.65 % (11038)Instruction limit reached!
% 8.31/2.65 % (11038)------------------------------
% 8.31/2.65 % (11038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.31/2.65 % (11038)Termination reason: Unknown
% 8.31/2.65 % (11038)Termination phase: Saturation
% 8.31/2.65
% 8.31/2.65 % (11038)Memory used [KB]: 9338
% 8.31/2.65 % (11038)Time elapsed: 0.118 s
% 8.31/2.65 % (11038)Instructions burned: 232 (million)
% 8.31/2.65 % (11038)------------------------------
% 8.31/2.65 % (11038)------------------------------
% 8.31/2.67 % (11046)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_10864 for (2989ds/79Mi)
% 9.48/2.70 % (11046)Instruction limit reached!
% 9.48/2.70 % (11046)------------------------------
% 9.48/2.70 % (11046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.48/2.70 % (11046)Termination reason: Unknown
% 9.48/2.70 % (11046)Termination phase: Saturation
% 9.48/2.70
% 9.48/2.70 % (11046)Memory used [KB]: 6268
% 9.48/2.70 % (11046)Time elapsed: 0.039 s
% 9.48/2.70 % (11046)Instructions burned: 79 (million)
% 9.48/2.70 % (11046)------------------------------
% 9.48/2.70 % (11046)------------------------------
% 9.48/2.70 % (11041)Instruction limit reached!
% 9.48/2.70 % (11041)------------------------------
% 9.48/2.70 % (11041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.48/2.70 % (11041)Termination reason: Unknown
% 9.48/2.70 % (11041)Termination phase: Saturation
% 9.48/2.70
% 9.48/2.70 % (11041)Memory used [KB]: 7036
% 9.48/2.70 % (11041)Time elapsed: 0.122 s
% 9.48/2.70 % (11041)Instructions burned: 299 (million)
% 9.48/2.70 % (11041)------------------------------
% 9.48/2.70 % (11041)------------------------------
% 9.48/2.71 % (11045)Instruction limit reached!
% 9.48/2.71 % (11045)------------------------------
% 9.48/2.71 % (11045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.48/2.71 % (11045)Termination reason: Unknown
% 9.48/2.71 % (11045)Termination phase: Saturation
% 9.48/2.71
% 9.48/2.71 % (11045)Memory used [KB]: 6140
% 9.48/2.71 % (11045)Time elapsed: 0.063 s
% 9.48/2.71 % (11045)Instructions burned: 156 (million)
% 9.48/2.71 % (11045)------------------------------
% 9.48/2.71 % (11045)------------------------------
% 9.48/2.71 % (11043)Instruction limit reached!
% 9.48/2.71 % (11043)------------------------------
% 9.48/2.71 % (11043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.48/2.71 % (11043)Termination reason: Unknown
% 9.48/2.71 % (11043)Termination phase: Saturation
% 9.48/2.71
% 9.48/2.71 % (11043)Memory used [KB]: 6780
% 9.48/2.71 % (11043)Time elapsed: 0.089 s
% 9.48/2.71 % (11043)Instructions burned: 182 (million)
% 9.48/2.71 % (11043)------------------------------
% 9.48/2.71 % (11043)------------------------------
% 9.48/2.72 % (11047)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_10864 for (2989ds/216Mi)
% 9.48/2.72 % (11048)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_10864 for (2989ds/114Mi)
% 9.48/2.72 % (11049)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_10864 for (2989ds/922Mi)
% 9.48/2.73 % (11050)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_10864 for (2989ds/182Mi)
% 9.48/2.74 % (11044)Instruction limit reached!
% 9.48/2.74 % (11044)------------------------------
% 9.48/2.74 % (11044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.48/2.74 % (11044)Termination reason: Unknown
% 9.48/2.74 % (11044)Termination phase: Saturation
% 9.48/2.74
% 9.48/2.74 % (11044)Memory used [KB]: 8187
% 9.48/2.74 % (11044)Time elapsed: 0.097 s
% 9.48/2.74 % (11044)Instructions burned: 183 (million)
% 9.48/2.74 % (11044)------------------------------
% 9.48/2.74 % (11044)------------------------------
% 9.48/2.75 % (11051)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_10864 for (2988ds/164Mi)
% 9.48/2.77 % (11048)Instruction limit reached!
% 9.48/2.77 % (11048)------------------------------
% 9.48/2.77 % (11048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.48/2.77 % (11048)Termination reason: Unknown
% 9.48/2.77 % (11048)Termination phase: Saturation
% 9.48/2.77
% 9.48/2.77 % (11048)Memory used [KB]: 6652
% 9.48/2.77 % (11048)Time elapsed: 0.054 s
% 9.48/2.77 % (11048)Instructions burned: 115 (million)
% 9.48/2.77 % (11048)------------------------------
% 9.48/2.77 % (11048)------------------------------
% 9.48/2.78 % (11039)Instruction limit reached!
% 9.48/2.78 % (11039)------------------------------
% 9.48/2.78 % (11039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.48/2.78 % (11039)Termination reason: Unknown
% 9.48/2.78 % (11039)Termination phase: Saturation
% 9.48/2.78
% 9.48/2.78 % (11039)Memory used [KB]: 7291
% 9.48/2.78 % (11039)Time elapsed: 0.228 s
% 9.48/2.78 % (11039)Instructions burned: 459 (million)
% 9.48/2.78 % (11039)------------------------------
% 9.48/2.78 % (11039)------------------------------
% 9.48/2.79 % (11052)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_10864 for (2988ds/50Mi)
% 9.48/2.79 % (11053)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_10864 for (2988ds/368Mi)
% 10.27/2.80 % (11050)Instruction limit reached!
% 10.27/2.80 % (11050)------------------------------
% 10.27/2.80 % (11050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.80 % (11050)Termination reason: Unknown
% 10.27/2.80 % (11050)Termination phase: Saturation
% 10.27/2.80
% 10.27/2.80 % (11050)Memory used [KB]: 6140
% 10.27/2.80 % (11050)Time elapsed: 0.073 s
% 10.27/2.80 % (11050)Instructions burned: 182 (million)
% 10.27/2.80 % (11050)------------------------------
% 10.27/2.80 % (11050)------------------------------
% 10.27/2.80 % (11047)Instruction limit reached!
% 10.27/2.80 % (11047)------------------------------
% 10.27/2.80 % (11047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.80 % (11047)Termination reason: Unknown
% 10.27/2.80 % (11047)Termination phase: Saturation
% 10.27/2.80
% 10.27/2.80 % (11047)Memory used [KB]: 7164
% 10.27/2.80 % (11047)Time elapsed: 0.087 s
% 10.27/2.80 % (11047)Instructions burned: 218 (million)
% 10.27/2.80 % (11047)------------------------------
% 10.27/2.80 % (11047)------------------------------
% 10.27/2.81 % (11052)Instruction limit reached!
% 10.27/2.81 % (11052)------------------------------
% 10.27/2.81 % (11052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.81 % (11052)Termination reason: Unknown
% 10.27/2.81 % (11052)Termination phase: Saturation
% 10.27/2.81
% 10.27/2.81 % (11052)Memory used [KB]: 10490
% 10.27/2.81 % (11052)Time elapsed: 0.025 s
% 10.27/2.81 % (11052)Instructions burned: 51 (million)
% 10.27/2.81 % (11052)------------------------------
% 10.27/2.81 % (11052)------------------------------
% 10.27/2.82 % (11054)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_10864 for (2987ds/1021Mi)
% 10.27/2.82 % (11055)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_10864 for (2987ds/267Mi)
% 10.27/2.83 % (11056)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_10864 for (2987ds/204Mi)
% 10.27/2.83 % (11051)Instruction limit reached!
% 10.27/2.83 % (11051)------------------------------
% 10.27/2.83 % (11051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.83 % (11051)Termination reason: Unknown
% 10.27/2.83 % (11051)Termination phase: Saturation
% 10.27/2.83
% 10.27/2.83 % (11051)Memory used [KB]: 1918
% 10.27/2.83 % (11051)Time elapsed: 0.079 s
% 10.27/2.83 % (11051)Instructions burned: 165 (million)
% 10.27/2.83 % (11051)------------------------------
% 10.27/2.83 % (11051)------------------------------
% 10.27/2.85 % (11057)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_10864 for (2987ds/26Mi)
% 10.27/2.86 % (11057)Instruction limit reached!
% 10.27/2.86 % (11057)------------------------------
% 10.27/2.86 % (11057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.86 % (11057)Termination reason: Unknown
% 10.27/2.86 % (11057)Termination phase: Property scanning
% 10.27/2.86
% 10.27/2.86 % (11057)Memory used [KB]: 1407
% 10.27/2.86 % (11057)Time elapsed: 0.014 s
% 10.27/2.86 % (11057)Instructions burned: 27 (million)
% 10.27/2.86 % (11057)------------------------------
% 10.27/2.86 % (11057)------------------------------
% 10.27/2.88 % (11058)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_10864 for (2987ds/53Mi)
% 10.62/2.90 % (11058)Instruction limit reached!
% 10.62/2.90 % (11058)------------------------------
% 10.62/2.90 % (11058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.62/2.90 % (11058)Termination reason: Unknown
% 10.62/2.90 % (11058)Termination phase: Saturation
% 10.62/2.90
% 10.62/2.90 % (11058)Memory used [KB]: 6012
% 10.62/2.90 % (11058)Time elapsed: 0.026 s
% 10.62/2.90 % (11058)Instructions burned: 54 (million)
% 10.62/2.90 % (11058)------------------------------
% 10.62/2.90 % (11058)------------------------------
% 10.62/2.92 % (11059)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_10864 for (2986ds/4436Mi)
% 10.62/2.93 % (11055)Instruction limit reached!
% 10.62/2.93 % (11055)------------------------------
% 10.62/2.93 % (11055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.62/2.93 % (11055)Termination reason: Unknown
% 10.62/2.93 % (11055)Termination phase: Saturation
% 10.62/2.93
% 10.62/2.93 % (11055)Memory used [KB]: 7675
% 10.62/2.93 % (11055)Time elapsed: 0.107 s
% 10.62/2.93 % (11055)Instructions burned: 267 (million)
% 10.62/2.93 % (11055)------------------------------
% 10.62/2.93 % (11055)------------------------------
% 10.62/2.93 % (11056)Instruction limit reached!
% 10.62/2.93 % (11056)------------------------------
% 10.62/2.93 % (11056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.62/2.93 % (11056)Termination reason: Unknown
% 10.62/2.93 % (11056)Termination phase: Saturation
% 10.62/2.93
% 10.62/2.93 % (11056)Memory used [KB]: 6780
% 10.62/2.93 % (11056)Time elapsed: 0.100 s
% 10.62/2.93 % (11056)Instructions burned: 205 (million)
% 10.62/2.93 % (11056)------------------------------
% 10.62/2.93 % (11056)------------------------------
% 10.62/2.94 % (11060)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_10864 for (2986ds/1539Mi)
% 10.62/2.94 % (11061)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_10864 for (2986ds/408Mi)
% 10.62/2.97 % (11042)Instruction limit reached!
% 10.62/2.97 % (11042)------------------------------
% 10.62/2.97 % (11042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.62/2.97 % (11042)Termination reason: Unknown
% 10.62/2.97 % (11042)Termination phase: Saturation
% 10.62/2.97
% 10.62/2.97 % (11042)Memory used [KB]: 7291
% 10.62/2.97 % (11042)Time elapsed: 0.376 s
% 10.62/2.97 % (11042)Instructions burned: 987 (million)
% 10.62/2.97 % (11042)------------------------------
% 10.62/2.97 % (11042)------------------------------
% 10.62/2.97 % (11053)Instruction limit reached!
% 10.62/2.97 % (11053)------------------------------
% 10.62/2.97 % (11053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.62/2.97 % (11053)Termination reason: Unknown
% 10.62/2.97 % (11053)Termination phase: Saturation
% 10.62/2.97
% 10.62/2.97 % (11053)Memory used [KB]: 7164
% 10.62/2.97 % (11053)Time elapsed: 0.182 s
% 10.62/2.97 % (11053)Instructions burned: 369 (million)
% 10.62/2.97 % (11053)------------------------------
% 10.62/2.97 % (11053)------------------------------
% 10.62/2.99 % (11062)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_10864 for (2986ds/5205Mi)
% 10.62/2.99 % (11063)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_10864 for (2986ds/1913Mi)
% 13.09/3.15 % (11061)Instruction limit reached!
% 13.09/3.15 % (11061)------------------------------
% 13.09/3.15 % (11061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.09/3.15 % (11061)Termination reason: Unknown
% 13.09/3.15 % (11061)Termination phase: Saturation
% 13.09/3.15
% 13.09/3.15 % (11061)Memory used [KB]: 8571
% 13.09/3.15 % (11061)Time elapsed: 0.212 s
% 13.09/3.15 % (11061)Instructions burned: 408 (million)
% 13.09/3.15 % (11061)------------------------------
% 13.09/3.15 % (11061)------------------------------
% 13.09/3.17 % (11064)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_10864 for (2984ds/4350Mi)
% 13.09/3.18 % (11049)Instruction limit reached!
% 13.09/3.18 % (11049)------------------------------
% 13.09/3.18 % (11049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.09/3.18 % (11049)Termination reason: Unknown
% 13.09/3.18 % (11049)Termination phase: Saturation
% 13.09/3.18
% 13.09/3.18 % (11049)Memory used [KB]: 8955
% 13.09/3.18 % (11049)Time elapsed: 0.479 s
% 13.09/3.18 % (11049)Instructions burned: 922 (million)
% 13.09/3.18 % (11049)------------------------------
% 13.09/3.18 % (11049)------------------------------
% 13.09/3.20 % (11065)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_10864 for (2984ds/68Mi)
% 13.57/3.23 % (11065)Instruction limit reached!
% 13.57/3.23 % (11065)------------------------------
% 13.57/3.23 % (11065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.23 % (11065)Termination reason: Unknown
% 13.57/3.23 % (11065)Termination phase: Saturation
% 13.57/3.23
% 13.57/3.23 % (11065)Memory used [KB]: 6268
% 13.57/3.23 % (11065)Time elapsed: 0.033 s
% 13.57/3.23 % (11065)Instructions burned: 69 (million)
% 13.57/3.23 % (11065)------------------------------
% 13.57/3.23 % (11065)------------------------------
% 13.57/3.24 % (11066)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_10864 for (2983ds/358Mi)
% 14.11/3.32 % (11054)Instruction limit reached!
% 14.11/3.32 % (11054)------------------------------
% 14.11/3.32 % (11054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.11/3.32 % (11054)Termination reason: Unknown
% 14.11/3.32 % (11054)Termination phase: Saturation
% 14.11/3.32
% 14.11/3.32 % (11054)Memory used [KB]: 9466
% 14.11/3.32 % (11054)Time elapsed: 0.510 s
% 14.11/3.32 % (11054)Instructions burned: 1021 (million)
% 14.11/3.32 % (11054)------------------------------
% 14.11/3.32 % (11054)------------------------------
% 14.11/3.34 % (11067)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_10864 for (2982ds/31Mi)
% 14.11/3.36 % (11067)Instruction limit reached!
% 14.11/3.36 % (11067)------------------------------
% 14.11/3.36 % (11067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.11/3.36 % (11067)Termination reason: Unknown
% 14.11/3.36 % (11067)Termination phase: Function definition elimination
% 14.11/3.36
% 14.11/3.36 % (11067)Memory used [KB]: 1535
% 14.11/3.36 % (11067)Time elapsed: 0.017 s
% 14.11/3.36 % (11067)Instructions burned: 33 (million)
% 14.11/3.36 % (11067)------------------------------
% 14.11/3.36 % (11067)------------------------------
% 14.11/3.37 % (11068)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_10864 for (2982ds/279Mi)
% 14.57/3.42 % (11066)Instruction limit reached!
% 14.57/3.42 % (11066)------------------------------
% 14.57/3.42 % (11066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.57/3.42 % (11066)Termination reason: Unknown
% 14.57/3.42 % (11066)Termination phase: Saturation
% 14.57/3.42
% 14.57/3.42 % (11066)Memory used [KB]: 7036
% 14.57/3.42 % (11066)Time elapsed: 0.174 s
% 14.57/3.42 % (11066)Instructions burned: 359 (million)
% 14.57/3.42 % (11066)------------------------------
% 14.57/3.42 % (11066)------------------------------
% 14.57/3.43 % (11069)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_10864 for (2981ds/258Mi)
% 14.57/3.48 % (11068)Instruction limit reached!
% 14.57/3.48 % (11068)------------------------------
% 14.57/3.48 % (11068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.57/3.48 % (11068)Termination reason: Unknown
% 14.57/3.48 % (11068)Termination phase: Saturation
% 14.57/3.48
% 14.57/3.48 % (11068)Memory used [KB]: 6396
% 14.57/3.48 % (11068)Time elapsed: 0.110 s
% 14.57/3.48 % (11068)Instructions burned: 281 (million)
% 14.57/3.48 % (11068)------------------------------
% 14.57/3.48 % (11068)------------------------------
% 15.29/3.50 % (11070)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_10864 for (2981ds/26Mi)
% 15.29/3.51 % (11070)Instruction limit reached!
% 15.29/3.51 % (11070)------------------------------
% 15.29/3.51 % (11070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.29/3.51 % (11070)Termination reason: Unknown
% 15.29/3.51 % (11070)Termination phase: Property scanning
% 15.29/3.51
% 15.29/3.51 % (11070)Memory used [KB]: 1407
% 15.29/3.51 % (11070)Time elapsed: 0.014 s
% 15.29/3.51 % (11070)Instructions burned: 26 (million)
% 15.29/3.51 % (11070)------------------------------
% 15.29/3.51 % (11070)------------------------------
% 15.29/3.53 % (11071)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_10864 for (2980ds/995Mi)
% 15.29/3.55 % (11069)Instruction limit reached!
% 15.29/3.55 % (11069)------------------------------
% 15.29/3.55 % (11069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.29/3.55 % (11069)Termination reason: Unknown
% 15.29/3.55 % (11069)Termination phase: Saturation
% 15.29/3.55
% 15.29/3.55 % (11069)Memory used [KB]: 7419
% 15.29/3.55 % (11069)Time elapsed: 0.119 s
% 15.29/3.55 % (11069)Instructions burned: 259 (million)
% 15.29/3.55 % (11069)------------------------------
% 15.29/3.55 % (11069)------------------------------
% 15.29/3.57 % (11072)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_10864 for (2980ds/373Mi)
% 16.25/3.71 % (11060)Instruction limit reached!
% 16.25/3.71 % (11060)------------------------------
% 16.25/3.71 % (11060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.25/3.71 % (11060)Termination reason: Unknown
% 16.25/3.71 % (11060)Termination phase: Saturation
% 16.25/3.71
% 16.25/3.71 % (11060)Memory used [KB]: 8955
% 16.25/3.71 % (11060)Time elapsed: 0.766 s
% 16.25/3.71 % (11060)Instructions burned: 1540 (million)
% 16.25/3.71 % (11060)------------------------------
% 16.25/3.71 % (11060)------------------------------
% 16.25/3.72 % (11073)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_10864 for (2978ds/253Mi)
% 16.25/3.75 % (11072)Instruction limit reached!
% 16.25/3.75 % (11072)------------------------------
% 16.25/3.75 % (11072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.25/3.75 % (11072)Termination reason: Unknown
% 16.25/3.75 % (11072)Termination phase: Saturation
% 16.25/3.75
% 16.25/3.75 % (11072)Memory used [KB]: 7036
% 16.25/3.75 % (11072)Time elapsed: 0.186 s
% 16.25/3.75 % (11072)Instructions burned: 374 (million)
% 16.25/3.75 % (11072)------------------------------
% 16.25/3.75 % (11072)------------------------------
% 16.25/3.77 % (11074)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_10864 for (2978ds/832Mi)
% 16.77/3.82 % (11074)Refutation not found, incomplete strategy
% 16.77/3.82 % (11074)------------------------------
% 16.77/3.82 % (11074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.77/3.82 % (11074)Termination reason: Refutation not found, incomplete strategy
% 16.77/3.82
% 16.77/3.82
% 16.77/3.82 % (11074)Memory used [KB]: 7036
% 16.77/3.82 % (11074)Time elapsed: 0.052 s
% 16.77/3.82 % (11074)Instructions burned: 98 (million)
% 16.77/3.82 % (11074)------------------------------
% 16.77/3.82 % (11074)------------------------------
% 16.77/3.82 % (11073)Instruction limit reached!
% 16.77/3.82 % (11073)------------------------------
% 16.77/3.82 % (11073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.77/3.82 % (11073)Termination reason: Unknown
% 16.77/3.82 % (11073)Termination phase: Saturation
% 16.77/3.82
% 16.77/3.82 % (11073)Memory used [KB]: 6268
% 16.77/3.82 % (11073)Time elapsed: 0.100 s
% 16.77/3.82 % (11073)Instructions burned: 254 (million)
% 16.77/3.82 % (11073)------------------------------
% 16.77/3.82 % (11073)------------------------------
% 16.77/3.84 % (11075)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_10864 for (2977ds/668Mi)
% 16.77/3.84 % (11076)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_10864 for (2977ds/40Mi)
% 16.77/3.86 % (11076)Instruction limit reached!
% 16.77/3.86 % (11076)------------------------------
% 16.77/3.86 % (11076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.77/3.86 % (11076)Termination reason: Unknown
% 16.77/3.86 % (11076)Termination phase: Property scanning
% 16.77/3.86
% 16.77/3.86 % (11076)Memory used [KB]: 1535
% 16.77/3.86 % (11076)Time elapsed: 0.019 s
% 16.77/3.86 % (11076)Instructions burned: 40 (million)
% 16.77/3.86 % (11076)------------------------------
% 16.77/3.86 % (11076)------------------------------
% 16.77/3.87 % (11077)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_10864 for (2977ds/294Mi)
% 17.29/3.92 % (11071)Instruction limit reached!
% 17.29/3.92 % (11071)------------------------------
% 17.29/3.92 % (11071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.29/3.92 % (11071)Termination reason: Unknown
% 17.29/3.92 % (11071)Termination phase: Saturation
% 17.29/3.92
% 17.29/3.92 % (11071)Memory used [KB]: 7675
% 17.29/3.92 % (11071)Time elapsed: 0.399 s
% 17.29/3.92 % (11071)Instructions burned: 997 (million)
% 17.29/3.92 % (11071)------------------------------
% 17.29/3.92 % (11071)------------------------------
% 17.29/3.94 % (11078)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_10864 for (2976ds/187Mi)
% 17.29/3.94 % (11063)Instruction limit reached!
% 17.29/3.94 % (11063)------------------------------
% 17.29/3.94 % (11063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.29/3.94 % (11063)Termination reason: Unknown
% 17.29/3.94 % (11063)Termination phase: Saturation
% 17.29/3.94
% 17.29/3.94 % (11063)Memory used [KB]: 3837
% 17.29/3.94 % (11063)Time elapsed: 0.955 s
% 17.29/3.94 % (11063)Instructions burned: 1914 (million)
% 17.29/3.94 % (11063)------------------------------
% 17.29/3.94 % (11063)------------------------------
% 17.29/3.96 % (11079)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_10864 for (2976ds/371Mi)
% 17.29/4.00 % (11077)Instruction limit reached!
% 17.29/4.00 % (11077)------------------------------
% 17.29/4.00 % (11077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.29/4.00 % (11077)Termination reason: Unknown
% 17.29/4.00 % (11077)Termination phase: Saturation
% 17.29/4.00
% 17.29/4.00 % (11077)Memory used [KB]: 6268
% 17.29/4.00 % (11077)Time elapsed: 0.127 s
% 17.29/4.00 % (11077)Instructions burned: 295 (million)
% 17.29/4.00 % (11077)------------------------------
% 17.29/4.00 % (11077)------------------------------
% 17.29/4.02 % (11080)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_10864 for (2976ds/1827Mi)
% 19.35/4.03 % (11078)Instruction limit reached!
% 19.35/4.03 % (11078)------------------------------
% 19.35/4.03 % (11078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.35/4.03 % (11078)Termination reason: Unknown
% 19.35/4.03 % (11078)Termination phase: Saturation
% 19.35/4.03
% 19.35/4.03 % (11078)Memory used [KB]: 6908
% 19.35/4.03 % (11078)Time elapsed: 0.094 s
% 19.35/4.03 % (11078)Instructions burned: 188 (million)
% 19.35/4.03 % (11078)------------------------------
% 19.35/4.03 % (11078)------------------------------
% 19.35/4.05 % (11081)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_10864 for (2975ds/70Mi)
% 19.35/4.08 % (11081)Instruction limit reached!
% 19.35/4.08 % (11081)------------------------------
% 19.35/4.08 % (11081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.35/4.08 % (11081)Termination reason: Unknown
% 19.35/4.08 % (11081)Termination phase: Saturation
% 19.35/4.08
% 19.35/4.08 % (11081)Memory used [KB]: 1663
% 19.35/4.08 % (11081)Time elapsed: 0.032 s
% 19.35/4.08 % (11081)Instructions burned: 70 (million)
% 19.35/4.08 % (11081)------------------------------
% 19.35/4.08 % (11081)------------------------------
% 19.35/4.10 % (11082)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_10864 for (2975ds/316Mi)
% 19.35/4.11 % (11075)Instruction limit reached!
% 19.35/4.11 % (11075)------------------------------
% 19.35/4.11 % (11075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.35/4.11 % (11075)Termination reason: Unknown
% 19.35/4.11 % (11075)Termination phase: Saturation
% 19.35/4.11
% 19.35/4.11 % (11075)Memory used [KB]: 12153
% 19.35/4.11 % (11075)Time elapsed: 0.272 s
% 19.35/4.11 % (11075)Instructions burned: 668 (million)
% 19.35/4.11 % (11075)------------------------------
% 19.35/4.11 % (11075)------------------------------
% 19.35/4.12 % (11083)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_10864 for (2975ds/932Mi)
% 19.93/4.13 % (11079)Instruction limit reached!
% 19.93/4.13 % (11079)------------------------------
% 19.93/4.13 % (11079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.93/4.13 % (11079)Termination reason: Unknown
% 19.93/4.13 % (11079)Termination phase: Saturation
% 19.93/4.13
% 19.93/4.13 % (11079)Memory used [KB]: 7036
% 19.93/4.13 % (11079)Time elapsed: 0.169 s
% 19.93/4.13 % (11079)Instructions burned: 371 (million)
% 19.93/4.13 % (11079)------------------------------
% 19.93/4.13 % (11079)------------------------------
% 19.93/4.15 % (11084)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_10864 for (2974ds/4714Mi)
% 20.15/4.22 % (11082)Instruction limit reached!
% 20.15/4.22 % (11082)------------------------------
% 20.15/4.22 % (11082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.15/4.22 % (11082)Termination reason: Unknown
% 20.15/4.22 % (11082)Termination phase: Saturation
% 20.15/4.22
% 20.15/4.22 % (11082)Memory used [KB]: 6524
% 20.15/4.22 % (11082)Time elapsed: 0.129 s
% 20.15/4.22 % (11082)Instructions burned: 316 (million)
% 20.15/4.22 % (11082)------------------------------
% 20.15/4.22 % (11082)------------------------------
% 20.15/4.24 % (11085)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_10864 for (2973ds/8250Mi)
% 21.20/4.50 % (11083)Instruction limit reached!
% 21.20/4.50 % (11083)------------------------------
% 21.20/4.50 % (11083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.20/4.50 % (11083)Termination reason: Unknown
% 21.20/4.50 % (11083)Termination phase: Saturation
% 21.20/4.50
% 21.20/4.50 % (11083)Memory used [KB]: 7675
% 21.20/4.50 % (11083)Time elapsed: 0.378 s
% 21.20/4.50 % (11083)Instructions burned: 932 (million)
% 21.20/4.50 % (11083)------------------------------
% 21.20/4.50 % (11083)------------------------------
% 21.20/4.52 % (11086)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_10864 for (2971ds/770Mi)
% 22.51/4.86 % (11086)Instruction limit reached!
% 22.51/4.86 % (11086)------------------------------
% 22.51/4.86 % (11086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.51/4.86 % (11086)Termination reason: Unknown
% 22.51/4.86 % (11086)Termination phase: Saturation
% 22.51/4.86
% 22.51/4.86 % (11086)Memory used [KB]: 6268
% 22.51/4.86 % (11086)Time elapsed: 0.367 s
% 22.51/4.86 % (11086)Instructions burned: 772 (million)
% 22.51/4.86 % (11086)------------------------------
% 22.51/4.86 % (11086)------------------------------
% 22.51/4.88 % (11087)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_10864 for (2967ds/794Mi)
% 23.16/4.90 % (11080)Instruction limit reached!
% 23.16/4.90 % (11080)------------------------------
% 23.16/4.90 % (11080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.16/4.90 % (11080)Termination reason: Unknown
% 23.16/4.90 % (11080)Termination phase: Saturation
% 23.16/4.90
% 23.16/4.90 % (11080)Memory used [KB]: 13944
% 23.16/4.90 % (11080)Time elapsed: 0.887 s
% 23.16/4.90 % (11080)Instructions burned: 1827 (million)
% 23.16/4.90 % (11080)------------------------------
% 23.16/4.90 % (11080)------------------------------
% 23.16/4.92 % (11088)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_10864 for (2966ds/464Mi)
% 27.12/5.14 % (11088)Instruction limit reached!
% 27.12/5.14 % (11088)------------------------------
% 27.12/5.14 % (11088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.12/5.14 % (11088)Termination reason: Unknown
% 27.12/5.14 % (11088)Termination phase: Saturation
% 27.12/5.15
% 27.12/5.15 % (11088)Memory used [KB]: 7291
% 27.12/5.15 % (11088)Time elapsed: 0.227 s
% 27.12/5.15 % (11088)Instructions burned: 464 (million)
% 27.12/5.15 % (11088)------------------------------
% 27.12/5.15 % (11088)------------------------------
% 27.12/5.16 % (11089)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_10864 for (2964ds/1376Mi)
% 27.12/5.17 % (11059)Instruction limit reached!
% 27.12/5.17 % (11059)------------------------------
% 27.12/5.17 % (11059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.12/5.17 % (11059)Termination reason: Unknown
% 27.12/5.17 % (11059)Termination phase: Saturation
% 27.12/5.17
% 27.12/5.17 % (11059)Memory used [KB]: 14328
% 27.12/5.17 % (11059)Time elapsed: 2.258 s
% 27.12/5.17 % (11059)Instructions burned: 4436 (million)
% 27.12/5.17 % (11059)------------------------------
% 27.12/5.17 % (11059)------------------------------
% 27.12/5.19 % (11090)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_10864 for (2964ds/906Mi)
% 27.54/5.26 % (11087)Instruction limit reached!
% 27.54/5.26 % (11087)------------------------------
% 27.54/5.26 % (11087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.54/5.26 % (11087)Termination reason: Unknown
% 27.54/5.26 % (11087)Termination phase: Saturation
% 27.54/5.26
% 27.54/5.26 % (11087)Memory used [KB]: 3709
% 27.54/5.26 % (11087)Time elapsed: 0.413 s
% 27.54/5.26 % (11087)Instructions burned: 795 (million)
% 27.54/5.26 % (11087)------------------------------
% 27.54/5.26 % (11087)------------------------------
% 27.54/5.27 % (11062)Instruction limit reached!
% 27.54/5.27 % (11062)------------------------------
% 27.54/5.27 % (11062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.54/5.27 % (11062)Termination reason: Unknown
% 27.54/5.27 % (11062)Termination phase: Saturation
% 27.54/5.27
% 27.54/5.27 % (11062)Memory used [KB]: 11641
% 27.54/5.27 % (11062)Time elapsed: 2.277 s
% 27.54/5.27 % (11062)Instructions burned: 5205 (million)
% 27.54/5.27 % (11062)------------------------------
% 27.54/5.27 % (11062)------------------------------
% 27.54/5.28 % (11092)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_10864 for (2963ds/865Mi)
% 27.54/5.28 % (11091)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_10864 for (2963ds/434Mi)
% 28.00/5.34 % (11064)Instruction limit reached!
% 28.00/5.34 % (11064)------------------------------
% 28.00/5.34 % (11064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.00/5.34 % (11064)Termination reason: Unknown
% 28.00/5.34 % (11064)Termination phase: Saturation
% 28.00/5.34
% 28.00/5.34 % (11064)Memory used [KB]: 10874
% 28.00/5.34 % (11064)Time elapsed: 2.174 s
% 28.00/5.34 % (11064)Instructions burned: 4352 (million)
% 28.00/5.34 % (11064)------------------------------
% 28.00/5.34 % (11064)------------------------------
% 28.00/5.36 % (11093)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_10864 for (2962ds/593Mi)
% 28.25/5.50 % (11091)Instruction limit reached!
% 28.25/5.50 % (11091)------------------------------
% 28.25/5.50 % (11091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.25/5.50 % (11091)Termination reason: Unknown
% 28.25/5.50 % (11091)Termination phase: Saturation
% 28.25/5.50
% 28.25/5.50 % (11091)Memory used [KB]: 8315
% 28.25/5.50 % (11091)Time elapsed: 0.214 s
% 28.25/5.50 % (11091)Instructions burned: 435 (million)
% 28.25/5.50 % (11091)------------------------------
% 28.25/5.50 % (11091)------------------------------
% 28.44/5.51 % (11094)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_10864 for (2961ds/443Mi)
% 28.44/5.59 % (11093)Instruction limit reached!
% 28.44/5.59 % (11093)------------------------------
% 28.44/5.59 % (11093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.44/5.59 % (11093)Termination reason: Unknown
% 28.44/5.59 % (11093)Termination phase: Saturation
% 28.44/5.59
% 28.44/5.59 % (11093)Memory used [KB]: 6652
% 28.44/5.59 % (11093)Time elapsed: 0.230 s
% 28.44/5.59 % (11093)Instructions burned: 593 (million)
% 28.44/5.59 % (11093)------------------------------
% 28.44/5.59 % (11093)------------------------------
% 29.12/5.60 % (11090)Instruction limit reached!
% 29.12/5.60 % (11090)------------------------------
% 29.12/5.60 % (11090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.12/5.60 % (11090)Termination reason: Unknown
% 29.12/5.60 % (11090)Termination phase: Saturation
% 29.12/5.60
% 29.12/5.60 % (11090)Memory used [KB]: 7931
% 29.12/5.60 % (11090)Time elapsed: 0.416 s
% 29.12/5.60 % (11090)Instructions burned: 907 (million)
% 29.12/5.60 % (11090)------------------------------
% 29.12/5.60 % (11090)------------------------------
% 29.12/5.61 % (11095)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_10864 for (2960ds/594Mi)
% 29.12/5.62 % (11084)Instruction limit reached!
% 29.12/5.62 % (11084)------------------------------
% 29.12/5.62 % (11084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.12/5.62 % (11084)Termination reason: Unknown
% 29.12/5.62 % (11084)Termination phase: Saturation
% 29.12/5.62
% 29.12/5.62 % (11084)Memory used [KB]: 6396
% 29.12/5.62 % (11084)Time elapsed: 1.495 s
% 29.12/5.62 % (11084)Instructions burned: 4716 (million)
% 29.12/5.62 % (11084)------------------------------
% 29.12/5.62 % (11084)------------------------------
% 29.12/5.62 % (11096)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_10864 for (2959ds/327Mi)
% 29.12/5.63 % (11097)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_10864 for (2959ds/5411Mi)
% 29.12/5.66 % (11092)Instruction limit reached!
% 29.12/5.66 % (11092)------------------------------
% 29.12/5.66 % (11092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.12/5.66 % (11092)Termination reason: Unknown
% 29.12/5.66 % (11092)Termination phase: Saturation
% 29.12/5.66
% 29.12/5.66 % (11092)Memory used [KB]: 7164
% 29.12/5.66 % (11092)Time elapsed: 0.376 s
% 29.12/5.66 % (11092)Instructions burned: 867 (million)
% 29.12/5.66 % (11092)------------------------------
% 29.12/5.66 % (11092)------------------------------
% 29.12/5.67 % (11098)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_10864 for (2959ds/1762Mi)
% 30.08/5.72 % (11089)Instruction limit reached!
% 30.08/5.72 % (11089)------------------------------
% 30.08/5.72 % (11089)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.08/5.72 % (11089)Termination reason: Unknown
% 30.08/5.72 % (11089)Termination phase: Saturation
% 30.08/5.72
% 30.08/5.72 % (11089)Memory used [KB]: 7547
% 30.08/5.72 % (11089)Time elapsed: 0.556 s
% 30.08/5.72 % (11089)Instructions burned: 1377 (million)
% 30.08/5.72 % (11089)------------------------------
% 30.08/5.72 % (11089)------------------------------
% 30.08/5.73 % (11094)Instruction limit reached!
% 30.08/5.73 % (11094)------------------------------
% 30.08/5.73 % (11094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.08/5.73 % (11094)Termination reason: Unknown
% 30.08/5.73 % (11094)Termination phase: Saturation
% 30.08/5.73
% 30.08/5.73 % (11094)Memory used [KB]: 7164
% 30.08/5.73 % (11094)Time elapsed: 0.218 s
% 30.08/5.73 % (11094)Instructions burned: 443 (million)
% 30.08/5.73 % (11094)------------------------------
% 30.08/5.73 % (11094)------------------------------
% 30.08/5.73 % (11099)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_10864 for (2958ds/96Mi)
% 30.08/5.75 % (11100)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_10864 for (2958ds/503Mi)
% 30.08/5.77 % (11099)Instruction limit reached!
% 30.08/5.77 % (11099)------------------------------
% 30.08/5.77 % (11099)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.08/5.77 % (11099)Termination reason: Unknown
% 30.08/5.77 % (11099)Termination phase: Saturation
% 30.08/5.77
% 30.08/5.77 % (11099)Memory used [KB]: 6140
% 30.08/5.77 % (11099)Time elapsed: 0.041 s
% 30.08/5.77 % (11099)Instructions burned: 96 (million)
% 30.08/5.77 % (11099)------------------------------
% 30.08/5.77 % (11099)------------------------------
% 30.08/5.79 % (11096)Instruction limit reached!
% 30.08/5.79 % (11096)------------------------------
% 30.08/5.79 % (11096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.08/5.79 % (11096)Termination reason: Unknown
% 30.08/5.79 % (11096)Termination phase: Saturation
% 30.08/5.79
% 30.08/5.79 % (11096)Memory used [KB]: 8443
% 30.08/5.79 % (11096)Time elapsed: 0.168 s
% 30.08/5.79 % (11096)Instructions burned: 327 (million)
% 30.08/5.79 % (11096)------------------------------
% 30.08/5.79 % (11096)------------------------------
% 30.08/5.79 % (11101)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_10864 for (2958ds/90Mi)
% 31.23/5.80 % (11102)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_10864 for (2958ds/593Mi)
% 31.23/5.83 % (11101)Instruction limit reached!
% 31.23/5.83 % (11101)------------------------------
% 31.23/5.83 % (11101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.83 % (11101)Termination reason: Unknown
% 31.23/5.83 % (11101)Termination phase: Saturation
% 31.23/5.83
% 31.23/5.83 % (11101)Memory used [KB]: 6396
% 31.23/5.83 % (11101)Time elapsed: 0.045 s
% 31.23/5.83 % (11101)Instructions burned: 90 (million)
% 31.23/5.83 % (11101)------------------------------
% 31.23/5.83 % (11101)------------------------------
% 31.23/5.85 % (11103)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_10864 for (2957ds/1512Mi)
% 31.23/5.90 % (11095)Instruction limit reached!
% 31.23/5.90 % (11095)------------------------------
% 31.23/5.90 % (11095)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.90 % (11095)Termination reason: Unknown
% 31.23/5.90 % (11095)Termination phase: Saturation
% 31.23/5.90
% 31.23/5.90 % (11095)Memory used [KB]: 7291
% 31.23/5.90 % (11095)Time elapsed: 0.291 s
% 31.23/5.90 % (11095)Instructions burned: 595 (million)
% 31.23/5.90 % (11095)------------------------------
% 31.23/5.90 % (11095)------------------------------
% 31.69/5.91 % (11103)Refutation not found, incomplete strategy
% 31.69/5.91 % (11103)------------------------------
% 31.69/5.91 % (11103)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.69/5.91 % (11103)Termination reason: Refutation not found, incomplete strategy
% 31.69/5.91
% 31.69/5.91
% 31.69/5.91 % (11103)Memory used [KB]: 7036
% 31.69/5.91 % (11103)Time elapsed: 0.056 s
% 31.69/5.91 % (11103)Instructions burned: 107 (million)
% 31.69/5.91 % (11103)------------------------------
% 31.69/5.91 % (11103)------------------------------
% 31.69/5.91 % (11104)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_10864 for (2957ds/569Mi)
% 31.69/5.92 % (11105)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_10864 for (2957ds/501Mi)
% 31.69/5.95 % (11100)Refutation not found, non-redundant clauses discarded% (11100)------------------------------
% 31.69/5.95 % (11100)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.69/5.95 % (11100)Termination reason: Refutation not found, non-redundant clauses discarded
% 31.69/5.95
% 31.69/5.95 % (11100)Memory used [KB]: 7036
% 31.69/5.95 % (11100)Time elapsed: 0.206 s
% 31.69/5.95 % (11100)Instructions burned: 435 (million)
% 31.69/5.95 % (11100)------------------------------
% 31.69/5.95 % (11100)------------------------------
% 31.69/5.97 % (11106)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_10864 for (2956ds/562Mi)
% 33.37/6.09 % (11102)Instruction limit reached!
% 33.37/6.09 % (11102)------------------------------
% 33.37/6.09 % (11102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.37/6.09 % (11102)Termination reason: Unknown
% 33.37/6.09 % (11102)Termination phase: Saturation
% 33.37/6.09
% 33.37/6.09 % (11102)Memory used [KB]: 7291
% 33.37/6.09 % (11102)Time elapsed: 0.287 s
% 33.37/6.09 % (11102)Instructions burned: 593 (million)
% 33.37/6.09 % (11102)------------------------------
% 33.37/6.09 % (11102)------------------------------
% 33.37/6.11 % (11107)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_10864 for (2955ds/406Mi)
% 34.06/6.13 % (11104)Instruction limit reached!
% 34.06/6.13 % (11104)------------------------------
% 34.06/6.13 % (11104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.06/6.13 % (11104)Termination reason: Unknown
% 34.06/6.13 % (11104)Termination phase: Saturation
% 34.06/6.13
% 34.06/6.13 % (11104)Memory used [KB]: 7419
% 34.06/6.13 % (11104)Time elapsed: 0.221 s
% 34.06/6.13 % (11104)Instructions burned: 569 (million)
% 34.06/6.13 % (11104)------------------------------
% 34.06/6.13 % (11104)------------------------------
% 34.06/6.15 % (11108)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_10864 for (2954ds/582Mi)
% 34.06/6.17 % (11107)Refutation not found, incomplete strategy
% 34.06/6.17 % (11107)------------------------------
% 34.06/6.17 % (11107)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.06/6.17 % (11107)Termination reason: Refutation not found, incomplete strategy
% 34.06/6.17
% 34.06/6.17
% 34.06/6.17 % (11107)Memory used [KB]: 6268
% 34.06/6.17 % (11107)Time elapsed: 0.063 s
% 34.06/6.17 % (11107)Instructions burned: 126 (million)
% 34.06/6.17 % (11107)------------------------------
% 34.06/6.17 % (11107)------------------------------
% 34.06/6.18 % (11105)Instruction limit reached!
% 34.06/6.18 % (11105)------------------------------
% 34.06/6.18 % (11105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.06/6.18 % (11105)Termination reason: Unknown
% 34.06/6.18 % (11105)Termination phase: Saturation
% 34.06/6.18
% 34.06/6.18 % (11105)Memory used [KB]: 8315
% 34.06/6.18 % (11105)Time elapsed: 0.272 s
% 34.06/6.18 % (11105)Instructions burned: 501 (million)
% 34.06/6.18 % (11105)------------------------------
% 34.06/6.18 % (11105)------------------------------
% 34.06/6.19 % (11109)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_10864 for (2954ds/456Mi)
% 34.06/6.19 % (11110)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_10864 for (2954ds/393Mi)
% 34.51/6.21 % (11106)Refutation not found, non-redundant clauses discarded% (11106)------------------------------
% 34.51/6.21 % (11106)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.51/6.21 % (11106)Termination reason: Refutation not found, non-redundant clauses discarded
% 34.51/6.21
% 34.51/6.21 % (11106)Memory used [KB]: 7164
% 34.51/6.21 % (11106)Time elapsed: 0.237 s
% 34.51/6.21 % (11106)Instructions burned: 483 (million)
% 34.51/6.21 % (11106)------------------------------
% 34.51/6.21 % (11106)------------------------------
% 34.51/6.22 % (11111)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_10864 for (2954ds/1335Mi)
% 34.83/6.39 % (11110)Instruction limit reached!
% 34.83/6.39 % (11110)------------------------------
% 34.83/6.39 % (11110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.83/6.39 % (11110)Termination reason: Unknown
% 34.83/6.39 % (11110)Termination phase: Saturation
% 34.83/6.39
% 34.83/6.39 % (11110)Memory used [KB]: 7547
% 34.83/6.39 % (11110)Time elapsed: 0.194 s
% 34.83/6.39 % (11110)Instructions burned: 393 (million)
% 34.83/6.39 % (11110)------------------------------
% 34.83/6.39 % (11110)------------------------------
% 34.83/6.39 % (11098)Instruction limit reached!
% 34.83/6.39 % (11098)------------------------------
% 34.83/6.39 % (11098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.83/6.39 % (11098)Termination reason: Unknown
% 34.83/6.39 % (11098)Termination phase: Saturation
% 34.83/6.39
% 34.83/6.39 % (11098)Memory used [KB]: 7931
% 34.83/6.39 % (11098)Time elapsed: 0.715 s
% 34.83/6.39 % (11098)Instructions burned: 1762 (million)
% 34.83/6.39 % (11098)------------------------------
% 34.83/6.39 % (11098)------------------------------
% 35.35/6.40 % (11109)Refutation not found, non-redundant clauses discarded% (11109)------------------------------
% 35.35/6.40 % (11109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.35/6.40 % (11109)Termination reason: Refutation not found, non-redundant clauses discarded
% 35.35/6.40
% 35.35/6.40 % (11109)Memory used [KB]: 7164
% 35.35/6.40 % (11109)Time elapsed: 0.216 s
% 35.35/6.40 % (11109)Instructions burned: 441 (million)
% 35.35/6.40 % (11109)------------------------------
% 35.35/6.40 % (11109)------------------------------
% 35.35/6.40 % (11114)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_10864 for (2952ds/474Mi)
% 35.35/6.40 % (11112)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_10864 for (2952ds/3373Mi)
% 35.35/6.42 % (11115)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_10864 for (2952ds/157Mi)
% 35.35/6.45 % (11108)Instruction limit reached!
% 35.35/6.45 % (11108)------------------------------
% 35.35/6.45 % (11108)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.35/6.45 % (11108)Termination reason: Unknown
% 35.35/6.45 % (11108)Termination phase: Saturation
% 35.35/6.45
% 35.35/6.45 % (11108)Memory used [KB]: 8059
% 35.35/6.45 % (11108)Time elapsed: 0.299 s
% 35.35/6.45 % (11108)Instructions burned: 583 (million)
% 35.35/6.45 % (11108)------------------------------
% 35.35/6.45 % (11108)------------------------------
% 35.35/6.47 % (11116)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_10864 for (2951ds/590Mi)
% 35.35/6.48 % (11115)Instruction limit reached!
% 35.35/6.48 % (11115)------------------------------
% 35.35/6.48 % (11115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.35/6.48 % (11115)Termination reason: Unknown
% 35.35/6.48 % (11115)Termination phase: Saturation
% 35.35/6.48
% 35.35/6.48 % (11115)Memory used [KB]: 6140
% 35.35/6.48 % (11115)Time elapsed: 0.064 s
% 35.35/6.48 % (11115)Instructions burned: 159 (million)
% 35.35/6.48 % (11115)------------------------------
% 35.35/6.48 % (11115)------------------------------
% 36.16/6.51 % (11117)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_10864 for (2951ds/104Mi)
% 36.16/6.54 % (11117)Instruction limit reached!
% 36.16/6.54 % (11117)------------------------------
% 36.16/6.54 % (11117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.16/6.54 % (11117)Termination reason: Unknown
% 36.16/6.54 % (11117)Termination phase: Saturation
% 36.16/6.54
% 36.16/6.54 % (11117)Memory used [KB]: 6652
% 36.16/6.54 % (11117)Time elapsed: 0.030 s
% 36.16/6.54 % (11117)Instructions burned: 106 (million)
% 36.16/6.54 % (11117)------------------------------
% 36.16/6.54 % (11117)------------------------------
% 36.16/6.55 % (11118)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_10864 for (2950ds/414Mi)
% 36.16/6.58 % (11114)Instruction limit reached!
% 36.16/6.58 % (11114)------------------------------
% 36.16/6.58 % (11114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.16/6.58 % (11114)Termination reason: Unknown
% 36.16/6.58 % (11114)Termination phase: Saturation
% 36.16/6.58
% 36.16/6.58 % (11114)Memory used [KB]: 7291
% 36.16/6.58 % (11114)Time elapsed: 0.179 s
% 36.16/6.58 % (11114)Instructions burned: 476 (million)
% 36.16/6.58 % (11114)------------------------------
% 36.16/6.58 % (11114)------------------------------
% 36.60/6.62 % (11119)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_10864 for (2950ds/715Mi)
% 36.60/6.65 % (11118)Instruction limit reached!
% 36.60/6.65 % (11118)------------------------------
% 36.60/6.65 % (11118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.60/6.65 % (11118)Termination reason: Unknown
% 36.60/6.65 % (11118)Termination phase: Saturation
% 36.60/6.65
% 36.60/6.65 % (11118)Memory used [KB]: 6140
% 36.60/6.65 % (11118)Time elapsed: 0.103 s
% 36.60/6.65 % (11118)Instructions burned: 415 (million)
% 36.60/6.65 % (11118)------------------------------
% 36.60/6.65 % (11118)------------------------------
% 36.60/6.66 % (11120)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_10864 for (2949ds/961Mi)
% 36.92/6.75 % (11116)Instruction limit reached!
% 36.92/6.75 % (11116)------------------------------
% 36.92/6.75 % (11116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.92/6.75 % (11116)Termination reason: Unknown
% 36.92/6.75 % (11116)Termination phase: Saturation
% 36.92/6.75
% 36.92/6.75 % (11116)Memory used [KB]: 7803
% 36.92/6.75 % (11116)Time elapsed: 0.273 s
% 36.92/6.75 % (11116)Instructions burned: 591 (million)
% 36.92/6.75 % (11116)------------------------------
% 36.92/6.75 % (11116)------------------------------
% 36.92/6.77 % (11121)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_10864 for (2948ds/1213Mi)
% 37.41/6.83 % (11111)Instruction limit reached!
% 37.41/6.83 % (11111)------------------------------
% 37.41/6.83 % (11111)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.41/6.83 % (11111)Termination reason: Unknown
% 37.41/6.83 % (11111)Termination phase: Saturation
% 37.41/6.83
% 37.41/6.83 % (11111)Memory used [KB]: 7419
% 37.41/6.83 % (11111)Time elapsed: 0.608 s
% 37.41/6.83 % (11111)Instructions burned: 1335 (million)
% 37.41/6.83 % (11111)------------------------------
% 37.41/6.83 % (11111)------------------------------
% 37.41/6.85 % (11122)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_10864 for (2947ds/1979Mi)
% 38.22/6.91 % (11119)Instruction limit reached!
% 38.22/6.91 % (11119)------------------------------
% 38.22/6.91 % (11119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.22/6.91 % (11119)Termination reason: Unknown
% 38.22/6.91 % (11119)Termination phase: Saturation
% 38.22/6.91
% 38.22/6.91 % (11119)Memory used [KB]: 3070
% 38.22/6.91 % (11119)Time elapsed: 0.325 s
% 38.22/6.91 % (11119)Instructions burned: 715 (million)
% 38.22/6.91 % (11119)------------------------------
% 38.22/6.91 % (11119)------------------------------
% 38.22/6.92 % (11123)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_10864 for (2947ds/481Mi)
% 40.19/7.10 % (11123)Instruction limit reached!
% 40.19/7.10 % (11123)------------------------------
% 40.19/7.10 % (11123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.19/7.10 % (11123)Termination reason: Unknown
% 40.19/7.10 % (11123)Termination phase: Saturation
% 40.19/7.10
% 40.19/7.10 % (11123)Memory used [KB]: 7164
% 40.19/7.10 % (11123)Time elapsed: 0.206 s
% 40.19/7.10 % (11123)Instructions burned: 484 (million)
% 40.19/7.10 % (11123)------------------------------
% 40.19/7.10 % (11123)------------------------------
% 40.19/7.12 % (11124)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_10864 for (2945ds/783Mi)
% 40.90/7.14 % (11120)Instruction limit reached!
% 40.90/7.14 % (11120)------------------------------
% 40.90/7.14 % (11120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.90/7.14 % (11120)Termination reason: Unknown
% 40.90/7.14 % (11120)Termination phase: Saturation
% 40.90/7.14
% 40.90/7.14 % (11120)Memory used [KB]: 7547
% 40.90/7.14 % (11120)Time elapsed: 0.499 s
% 40.90/7.14 % (11120)Instructions burned: 962 (million)
% 40.90/7.14 % (11120)------------------------------
% 40.90/7.14 % (11120)------------------------------
% 40.90/7.16 % (11125)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_10864 for (2944ds/432Mi)
% 41.80/7.37 % (11125)Instruction limit reached!
% 41.80/7.37 % (11125)------------------------------
% 41.80/7.37 % (11125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.80/7.37 % (11125)Termination reason: Unknown
% 41.80/7.37 % (11125)Termination phase: Saturation
% 41.80/7.37
% 41.80/7.37 % (11125)Memory used [KB]: 7547
% 41.80/7.37 % (11125)Time elapsed: 0.240 s
% 41.80/7.37 % (11125)Instructions burned: 433 (million)
% 41.80/7.37 % (11125)------------------------------
% 41.80/7.37 % (11125)------------------------------
% 41.80/7.39 % (11126)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_10864 for (2942ds/1670Mi)
% 41.80/7.39 % (11121)Instruction limit reached!
% 41.80/7.39 % (11121)------------------------------
% 41.80/7.39 % (11121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.80/7.39 % (11121)Termination reason: Unknown
% 41.80/7.39 % (11121)Termination phase: Saturation
% 41.80/7.39
% 41.80/7.39 % (11121)Memory used [KB]: 11001
% 41.80/7.39 % (11121)Time elapsed: 0.653 s
% 41.80/7.39 % (11121)Instructions burned: 1215 (million)
% 41.80/7.39 % (11121)------------------------------
% 41.80/7.39 % (11121)------------------------------
% 42.55/7.41 % (11127)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_10864 for (2941ds/90Mi)
% 42.55/7.45 % (11127)Instruction limit reached!
% 42.55/7.45 % (11127)------------------------------
% 42.55/7.45 % (11127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.55/7.45 % (11127)Termination reason: Unknown
% 42.55/7.45 % (11127)Termination phase: Saturation
% 42.55/7.45
% 42.55/7.45 % (11127)Memory used [KB]: 6396
% 42.55/7.45 % (11127)Time elapsed: 0.043 s
% 42.55/7.45 % (11127)Instructions burned: 90 (million)
% 42.55/7.45 % (11127)------------------------------
% 42.55/7.45 % (11127)------------------------------
% 42.55/7.47 % (11128)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_10864 for (2941ds/346Mi)
% 43.00/7.51 % (11124)Instruction limit reached!
% 43.00/7.51 % (11124)------------------------------
% 43.00/7.51 % (11124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.00/7.51 % (11124)Termination reason: Unknown
% 43.00/7.51 % (11124)Termination phase: Saturation
% 43.00/7.51
% 43.00/7.51 % (11124)Memory used [KB]: 9466
% 43.00/7.51 % (11124)Time elapsed: 0.414 s
% 43.00/7.51 % (11124)Instructions burned: 784 (million)
% 43.00/7.51 % (11124)------------------------------
% 43.00/7.51 % (11124)------------------------------
% 43.00/7.53 % (11129)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_10864 for (2940ds/401Mi)
% 43.81/7.60 % (11128)Instruction limit reached!
% 43.81/7.60 % (11128)------------------------------
% 43.81/7.60 % (11128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.81/7.60 % (11128)Termination reason: Unknown
% 43.81/7.60 % (11128)Termination phase: Saturation
% 43.81/7.60
% 43.81/7.60 % (11128)Memory used [KB]: 7164
% 43.81/7.60 % (11128)Time elapsed: 0.134 s
% 43.81/7.60 % (11128)Instructions burned: 348 (million)
% 43.81/7.60 % (11128)------------------------------
% 43.81/7.60 % (11128)------------------------------
% 43.81/7.62 % (11130)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_10864 for (2939ds/6454Mi)
% 43.81/7.68 % (11129)Instruction limit reached!
% 43.81/7.68 % (11129)------------------------------
% 43.81/7.68 % (11129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.81/7.68 % (11129)Termination reason: Unknown
% 43.81/7.68 % (11129)Termination phase: Saturation
% 43.81/7.68
% 43.81/7.68 % (11129)Memory used [KB]: 6268
% 43.81/7.68 % (11129)Time elapsed: 0.155 s
% 43.81/7.68 % (11129)Instructions burned: 402 (million)
% 43.81/7.68 % (11129)------------------------------
% 43.81/7.68 % (11129)------------------------------
% 43.81/7.70 % (11131)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_10864 for (2939ds/283Mi)
% 44.93/7.80 % (11122)Instruction limit reached!
% 44.93/7.80 % (11122)------------------------------
% 44.93/7.80 % (11122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.93/7.80 % (11122)Termination reason: Unknown
% 44.93/7.80 % (11122)Termination phase: Saturation
% 44.93/7.80
% 44.93/7.80 % (11122)Memory used [KB]: 8059
% 44.93/7.80 % (11122)Time elapsed: 0.966 s
% 44.93/7.80 % (11122)Instructions burned: 1979 (million)
% 44.93/7.80 % (11122)------------------------------
% 44.93/7.80 % (11122)------------------------------
% 44.93/7.82 % (11132)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_10864 for (2937ds/865Mi)
% 44.93/7.84 % (11131)Instruction limit reached!
% 44.93/7.84 % (11131)------------------------------
% 44.93/7.84 % (11131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.93/7.84 % (11131)Termination reason: Unknown
% 44.93/7.84 % (11131)Termination phase: Saturation
% 44.93/7.84
% 44.93/7.84 % (11131)Memory used [KB]: 7164
% 44.93/7.84 % (11131)Time elapsed: 0.142 s
% 44.93/7.84 % (11131)Instructions burned: 284 (million)
% 44.93/7.84 % (11131)------------------------------
% 44.93/7.84 % (11131)------------------------------
% 44.93/7.85 % (11133)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_10864 for (2937ds/4528Mi)
% 44.93/7.90 % (11133)Refutation not found, incomplete strategy
% 44.93/7.90 % (11133)------------------------------
% 44.93/7.90 % (11133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.93/7.90 % (11133)Termination reason: Refutation not found, incomplete strategy
% 44.93/7.90
% 44.93/7.90
% 44.93/7.90 % (11133)Memory used [KB]: 1663
% 44.93/7.90 % (11133)Time elapsed: 0.044 s
% 44.93/7.90 % (11133)Instructions burned: 93 (million)
% 44.93/7.90 % (11133)------------------------------
% 44.93/7.90 % (11133)------------------------------
% 45.39/7.91 % (11134)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_10864 for (2937ds/1001Mi)
% 47.23/8.04 % (11112)Instruction limit reached!
% 47.23/8.04 % (11112)------------------------------
% 47.23/8.04 % (11112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.23/8.04 % (11112)Termination reason: Unknown
% 47.23/8.04 % (11112)Termination phase: Saturation
% 47.23/8.04
% 47.23/8.04 % (11112)Memory used [KB]: 10746
% 47.23/8.04 % (11112)Time elapsed: 1.648 s
% 47.23/8.04 % (11112)Instructions burned: 3373 (million)
% 47.23/8.04 % (11112)------------------------------
% 47.23/8.04 % (11112)------------------------------
% 47.23/8.06 % (11135)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_10864 for (2935ds/102Mi)
% 47.23/8.07 % (11126)Instruction limit reached!
% 47.23/8.07 % (11126)------------------------------
% 47.23/8.07 % (11126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.23/8.07 % (11126)Termination reason: Unknown
% 47.23/8.07 % (11126)Termination phase: Saturation
% 47.23/8.07
% 47.23/8.07 % (11126)Memory used [KB]: 8187
% 47.23/8.07 % (11126)Time elapsed: 0.681 s
% 47.23/8.07 % (11126)Instructions burned: 1671 (million)
% 47.23/8.07 % (11126)------------------------------
% 47.23/8.07 % (11126)------------------------------
% 47.23/8.09 % (11136)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_10864 for (2935ds/952Mi)
% 47.23/8.10 % (11135)Instruction limit reached!
% 47.23/8.10 % (11135)------------------------------
% 47.23/8.10 % (11135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.23/8.10 % (11135)Termination reason: Unknown
% 47.23/8.10 % (11135)Termination phase: Saturation
% 47.23/8.10
% 47.23/8.10 % (11135)Memory used [KB]: 6268
% 47.23/8.10 % (11135)Time elapsed: 0.049 s
% 47.23/8.10 % (11135)Instructions burned: 102 (million)
% 47.23/8.10 % (11135)------------------------------
% 47.23/8.10 % (11135)------------------------------
% 47.23/8.12 % (11137)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_10864 for (2934ds/578Mi)
% 48.22/8.23 % (11132)Instruction limit reached!
% 48.22/8.23 % (11132)------------------------------
% 48.22/8.23 % (11132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.22/8.23 % (11132)Termination reason: Unknown
% 48.22/8.23 % (11132)Termination phase: Saturation
% 48.22/8.23
% 48.22/8.23 % (11132)Memory used [KB]: 7419
% 48.22/8.23 % (11132)Time elapsed: 0.417 s
% 48.22/8.23 % (11132)Instructions burned: 866 (million)
% 48.22/8.23 % (11132)------------------------------
% 48.22/8.23 % (11132)------------------------------
% 48.22/8.25 % (11138)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_10864 for (2933ds/643Mi)
% 48.65/8.30 % (11134)Instruction limit reached!
% 48.65/8.30 % (11134)------------------------------
% 48.65/8.30 % (11134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.65/8.30 % (11134)Termination reason: Unknown
% 48.65/8.30 % (11134)Termination phase: Saturation
% 48.65/8.30
% 48.65/8.30 % (11134)Memory used [KB]: 7419
% 48.65/8.30 % (11134)Time elapsed: 0.376 s
% 48.65/8.30 % (11134)Instructions burned: 1003 (million)
% 48.65/8.30 % (11134)------------------------------
% 48.65/8.30 % (11134)------------------------------
% 48.65/8.32 % (11139)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_10864 for (2933ds/865Mi)
% 48.65/8.36 % (11097)Instruction limit reached!
% 48.65/8.36 % (11097)------------------------------
% 48.65/8.36 % (11097)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.65/8.36 % (11097)Termination reason: Unknown
% 48.65/8.36 % (11097)Termination phase: Saturation
% 48.65/8.36
% 48.65/8.36 % (11097)Memory used [KB]: 15223
% 48.65/8.36 % (11097)Time elapsed: 2.732 s
% 48.65/8.36 % (11097)Instructions burned: 5412 (million)
% 48.65/8.36 % (11097)------------------------------
% 48.65/8.36 % (11097)------------------------------
% 48.65/8.38 % (11137)Instruction limit reached!
% 48.65/8.38 % (11137)------------------------------
% 48.65/8.38 % (11137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.65/8.38 % (11137)Termination reason: Unknown
% 48.65/8.38 % (11137)Termination phase: Saturation
% 48.65/8.38
% 48.65/8.38 % (11137)Memory used [KB]: 7803
% 48.65/8.38 % (11137)Time elapsed: 0.257 s
% 48.65/8.38 % (11137)Instructions burned: 578 (million)
% 48.65/8.38 % (11137)------------------------------
% 48.65/8.38 % (11137)------------------------------
% 48.65/8.38 % (11140)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_10864 for (2932ds/1174Mi)
% 48.65/8.39 % (11141)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_10864 for (2932ds/644Mi)
% 49.21/8.47 % (11085)Instruction limit reached!
% 49.21/8.47 % (11085)------------------------------
% 49.21/8.47 % (11085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.21/8.47 % (11085)Termination reason: Unknown
% 49.21/8.47 % (11085)Termination phase: Saturation
% 49.21/8.47
% 49.21/8.47 % (11085)Memory used [KB]: 27632
% 49.21/8.47 % (11085)Time elapsed: 4.248 s
% 49.21/8.47 % (11085)Instructions burned: 8251 (million)
% 49.21/8.47 % (11085)------------------------------
% 49.21/8.47 % (11085)------------------------------
% 49.21/8.49 % (11142)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_10864 for (2931ds/1201Mi)
% 49.40/8.50 % (11138)Instruction limit reached!
% 49.40/8.50 % (11138)------------------------------
% 49.40/8.50 % (11138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.40/8.50 % (11138)Termination reason: Unknown
% 49.40/8.50 % (11138)Termination phase: Saturation
% 49.40/8.50
% 49.40/8.50 % (11138)Memory used [KB]: 7419
% 49.40/8.50 % (11138)Time elapsed: 0.257 s
% 49.40/8.50 % (11138)Instructions burned: 644 (million)
% 49.40/8.50 % (11138)------------------------------
% 49.40/8.50 % (11138)------------------------------
% 49.40/8.51 % (11136)Instruction limit reached!
% 49.40/8.51 % (11136)------------------------------
% 49.40/8.51 % (11136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.40/8.51 % (11136)Termination reason: Unknown
% 49.40/8.51 % (11136)Termination phase: Saturation
% 49.40/8.51
% 49.40/8.51 % (11136)Memory used [KB]: 7291
% 49.40/8.51 % (11136)Time elapsed: 0.421 s
% 49.40/8.51 % (11136)Instructions burned: 954 (million)
% 49.40/8.51 % (11136)------------------------------
% 49.40/8.51 % (11136)------------------------------
% 49.40/8.52 % (11143)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_10864 for (2931ds/1046Mi)
% 49.40/8.52 % (11144)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_10864 for (2931ds/222Mi)
% 50.20/8.61 % (11144)Instruction limit reached!
% 50.20/8.61 % (11144)------------------------------
% 50.20/8.61 % (11144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.20/8.61 % (11144)Termination reason: Unknown
% 50.20/8.61 % (11144)Termination phase: Saturation
% 50.20/8.61
% 50.20/8.61 % (11144)Memory used [KB]: 6140
% 50.20/8.61 % (11144)Time elapsed: 0.089 s
% 50.20/8.61 % (11144)Instructions burned: 222 (million)
% 50.20/8.61 % (11144)------------------------------
% 50.20/8.61 % (11144)------------------------------
% 50.20/8.63 % (11145)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_10864 for (2929ds/68Mi)
% 50.20/8.66 % (11139)Refutation not found, incomplete strategy
% 50.20/8.66 % (11139)------------------------------
% 50.20/8.66 % (11139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.20/8.66 % (11139)Termination reason: Refutation not found, incomplete strategy
% 50.20/8.66
% 50.20/8.66
% 50.20/8.66 % (11139)Memory used [KB]: 6268
% 50.20/8.66 % (11139)Time elapsed: 0.340 s
% 50.20/8.66 % (11139)Instructions burned: 771 (million)
% 50.20/8.66 % (11139)------------------------------
% 50.20/8.66 % (11139)------------------------------
% 50.20/8.66 % (11145)Instruction limit reached!
% 50.20/8.66 % (11145)------------------------------
% 50.20/8.66 % (11145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.20/8.66 % (11145)Termination reason: Unknown
% 50.20/8.66 % (11145)Termination phase: Saturation
% 50.20/8.66
% 50.20/8.66 % (11145)Memory used [KB]: 6268
% 50.20/8.66 % (11145)Time elapsed: 0.032 s
% 50.20/8.66 % (11145)Instructions burned: 68 (million)
% 50.20/8.66 % (11145)------------------------------
% 50.20/8.66 % (11145)------------------------------
% 50.20/8.67 % (11146)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_10864 for (2929ds/454Mi)
% 50.20/8.67 % (11147)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_10864 for (2929ds/360Mi)
% 50.81/8.70 % (11141)Instruction limit reached!
% 50.81/8.70 % (11141)------------------------------
% 50.81/8.70 % (11141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.81/8.70 % (11141)Termination reason: Unknown
% 50.81/8.70 % (11141)Termination phase: Saturation
% 50.81/8.70
% 50.81/8.70 % (11141)Memory used [KB]: 6652
% 50.81/8.70 % (11141)Time elapsed: 0.312 s
% 50.81/8.70 % (11141)Instructions burned: 644 (million)
% 50.81/8.70 % (11141)------------------------------
% 50.81/8.70 % (11141)------------------------------
% 50.81/8.72 % (11148)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_10864 for (2929ds/157Mi)
% 50.81/8.78 % (11148)Instruction limit reached!
% 50.81/8.78 % (11148)------------------------------
% 50.81/8.78 % (11148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.81/8.78 % (11148)Termination reason: Unknown
% 50.81/8.78 % (11148)Termination phase: Saturation
% 50.81/8.78
% 50.81/8.78 % (11148)Memory used [KB]: 6140
% 50.81/8.78 % (11148)Time elapsed: 0.065 s
% 50.81/8.78 % (11148)Instructions burned: 158 (million)
% 50.81/8.78 % (11148)------------------------------
% 50.81/8.78 % (11148)------------------------------
% 51.32/8.80 % (11149)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_10864 for (2928ds/5061Mi)
% 51.32/8.81 % (11147)Instruction limit reached!
% 51.32/8.81 % (11147)------------------------------
% 51.32/8.81 % (11147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.32/8.81 % (11147)Termination reason: Unknown
% 51.32/8.81 % (11147)Termination phase: Saturation
% 51.32/8.81
% 51.32/8.81 % (11147)Memory used [KB]: 6140
% 51.32/8.81 % (11147)Time elapsed: 0.134 s
% 51.32/8.81 % (11147)Instructions burned: 362 (million)
% 51.32/8.81 % (11147)------------------------------
% 51.32/8.81 % (11147)------------------------------
% 51.32/8.82 % (11150)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_10864 for (2928ds/2401Mi)
% 51.32/8.85 % (11146)Instruction limit reached!
% 51.32/8.85 % (11146)------------------------------
% 51.32/8.85 % (11146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.32/8.85 % (11146)Termination reason: Unknown
% 51.32/8.85 % (11146)Termination phase: Saturation
% 51.32/8.85
% 51.32/8.85 % (11146)Memory used [KB]: 11897
% 51.32/8.85 % (11146)Time elapsed: 0.178 s
% 51.32/8.85 % (11146)Instructions burned: 455 (million)
% 51.32/8.85 % (11146)------------------------------
% 51.32/8.85 % (11146)------------------------------
% 51.32/8.87 % (11151)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_10864 for (2927ds/5798Mi)
% 51.77/8.96 % (11140)Instruction limit reached!
% 51.77/8.96 % (11140)------------------------------
% 51.77/8.96 % (11140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.77/8.96 % (11140)Termination reason: Unknown
% 51.77/8.96 % (11140)Termination phase: Saturation
% 51.77/8.96
% 51.77/8.96 % (11140)Memory used [KB]: 7931
% 51.77/8.96 % (11140)Time elapsed: 0.575 s
% 51.77/8.96 % (11140)Instructions burned: 1175 (million)
% 51.77/8.96 % (11140)------------------------------
% 51.77/8.96 % (11140)------------------------------
% 51.77/8.96 % (11143)Instruction limit reached!
% 51.77/8.96 % (11143)------------------------------
% 51.77/8.96 % (11143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.77/8.96 % (11143)Termination reason: Unknown
% 51.77/8.96 % (11143)Termination phase: Saturation
% 51.77/8.96
% 51.77/8.96 % (11143)Memory used [KB]: 6908
% 51.77/8.96 % (11143)Time elapsed: 0.438 s
% 51.77/8.96 % (11143)Instructions burned: 1047 (million)
% 51.77/8.96 % (11143)------------------------------
% 51.77/8.96 % (11143)------------------------------
% 51.77/8.97 % (11152)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_10864 for (2926ds/346Mi)
% 51.77/8.97 % (11153)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_10864 for (2926ds/1321Mi)
% 51.77/9.01 % (11142)Refutation not found, non-redundant clauses discarded% (11142)------------------------------
% 51.77/9.01 % (11142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.77/9.01 % (11142)Termination reason: Refutation not found, non-redundant clauses discarded
% 51.77/9.01
% 51.77/9.01 % (11142)Memory used [KB]: 8571
% 51.77/9.01 % (11142)Time elapsed: 0.525 s
% 51.77/9.01 % (11142)Instructions burned: 1060 (million)
% 51.77/9.01 % (11142)------------------------------
% 51.77/9.01 % (11142)------------------------------
% 54.16/9.03 % (11154)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_10864 for (2925ds/1312Mi)
% 54.16/9.11 % (11152)Instruction limit reached!
% 54.16/9.11 % (11152)------------------------------
% 54.16/9.11 % (11152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.16/9.11 % (11152)Termination reason: Unknown
% 54.16/9.11 % (11152)Termination phase: Saturation
% 54.16/9.11
% 54.16/9.11 % (11152)Memory used [KB]: 7164
% 54.16/9.11 % (11152)Time elapsed: 0.135 s
% 54.16/9.11 % (11152)Instructions burned: 347 (million)
% 54.16/9.11 % (11152)------------------------------
% 54.16/9.11 % (11152)------------------------------
% 54.16/9.12 % (11153)Refutation not found, incomplete strategy
% 54.16/9.12 % (11153)------------------------------
% 54.16/9.12 % (11153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.16/9.12 % (11153)Termination reason: Refutation not found, incomplete strategy
% 54.16/9.12
% 54.16/9.12
% 54.16/9.12 % (11153)Memory used [KB]: 3198
% 54.16/9.12 % (11153)Time elapsed: 0.151 s
% 54.16/9.12 % (11153)Instructions burned: 297 (million)
% 54.16/9.12 % (11153)------------------------------
% 54.16/9.12 % (11153)------------------------------
% 54.16/9.12 % (11155)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_10864 for (2925ds/672Mi)
% 54.81/9.14 % (11156)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_10864 for (2924ds/1897Mi)
% 55.89/9.47 % (11155)Instruction limit reached!
% 55.89/9.47 % (11155)------------------------------
% 55.89/9.47 % (11155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.89/9.47 % (11155)Termination reason: Unknown
% 55.89/9.47 % (11155)Termination phase: Saturation
% 55.89/9.47
% 55.89/9.47 % (11155)Memory used [KB]: 8827
% 55.89/9.47 % (11155)Time elapsed: 0.348 s
% 55.89/9.47 % (11155)Instructions burned: 672 (million)
% 55.89/9.47 % (11155)------------------------------
% 55.89/9.47 % (11155)------------------------------
% 55.89/9.49 % (11157)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_10864 for (2921ds/1202Mi)
% 56.64/9.58 % (11154)Instruction limit reached!
% 56.64/9.58 % (11154)------------------------------
% 56.64/9.58 % (11154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.64/9.58 % (11154)Termination reason: Unknown
% 56.64/9.58 % (11154)Termination phase: Saturation
% 56.64/9.58
% 56.64/9.58 % (11154)Memory used [KB]: 7547
% 56.64/9.58 % (11154)Time elapsed: 0.553 s
% 56.64/9.58 % (11154)Instructions burned: 1312 (million)
% 56.64/9.58 % (11154)------------------------------
% 56.64/9.58 % (11154)------------------------------
% 57.62/9.60 % (11158)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_10864 for (2920ds/1493Mi)
% 58.82/9.94 % (11150)Instruction limit reached!
% 58.82/9.94 % (11150)------------------------------
% 58.82/9.94 % (11150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.82/9.94 % (11150)Termination reason: Unknown
% 58.82/9.94 % (11150)Termination phase: Saturation
% 58.82/9.94
% 58.82/9.94 % (11150)Memory used [KB]: 5245
% 58.82/9.94 % (11150)Time elapsed: 1.123 s
% 58.82/9.94 % (11150)Instructions burned: 2402 (million)
% 58.82/9.94 % (11150)------------------------------
% 58.82/9.94 % (11150)------------------------------
% 58.82/9.96 % (11159)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_10864 for (2916ds/7679Mi)
% 61.19/10.07 % (11157)Instruction limit reached!
% 61.19/10.07 % (11157)------------------------------
% 61.19/10.07 % (11157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 61.19/10.07 % (11157)Termination reason: Unknown
% 61.19/10.07 % (11157)Termination phase: Saturation
% 61.19/10.07
% 61.19/10.07 % (11157)Memory used [KB]: 6140
% 61.19/10.07 % (11157)Time elapsed: 0.588 s
% 61.19/10.07 % (11157)Instructions burned: 1202 (million)
% 61.19/10.07 % (11157)------------------------------
% 61.19/10.07 % (11157)------------------------------
% 61.19/10.09 % (11156)Instruction limit reached!
% 61.19/10.09 % (11156)------------------------------
% 61.19/10.09 % (11156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 61.19/10.09 % (11156)Termination reason: Unknown
% 61.19/10.09 % (11156)Termination phase: Saturation
% 61.19/10.09
% 61.19/10.09 % (11156)Memory used [KB]: 11257
% 61.19/10.09 % (11156)Time elapsed: 0.972 s
% 61.19/10.09 % (11156)Instructions burned: 1898 (million)
% 61.19/10.09 % (11156)------------------------------
% 61.19/10.09 % (11156)------------------------------
% 61.19/10.09 % (11160)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_10864 for (2915ds/340Mi)
% 61.19/10.11 % (11161)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_10864 for (2915ds/3672Mi)
% 62.19/10.26 % (11158)Instruction limit reached!
% 62.19/10.26 % (11158)------------------------------
% 62.19/10.26 % (11158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.19/10.26 % (11158)Termination reason: Unknown
% 62.19/10.26 % (11158)Termination phase: Saturation
% 62.19/10.26
% 62.19/10.26 % (11158)Memory used [KB]: 7803
% 62.19/10.26 % (11158)Time elapsed: 0.682 s
% 62.19/10.26 % (11158)Instructions burned: 1494 (million)
% 62.19/10.26 % (11158)------------------------------
% 62.19/10.26 % (11158)------------------------------
% 62.19/10.26 % (11160)Instruction limit reached!
% 62.19/10.26 % (11160)------------------------------
% 62.19/10.26 % (11160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.19/10.26 % (11160)Termination reason: Unknown
% 62.19/10.26 % (11160)Termination phase: Saturation
% 62.19/10.26
% 62.19/10.26 % (11160)Memory used [KB]: 8187
% 62.19/10.26 % (11160)Time elapsed: 0.174 s
% 62.19/10.26 % (11160)Instructions burned: 340 (million)
% 62.19/10.26 % (11160)------------------------------
% 62.19/10.26 % (11160)------------------------------
% 62.19/10.27 % (11162)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_10864 for (2913ds/1535Mi)
% 62.19/10.28 % (11163)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_10864 for (2913ds/4637Mi)
% 64.85/10.81 % (11130)Instruction limit reached!
% 64.85/10.81 % (11130)------------------------------
% 64.85/10.81 % (11130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.85/10.81 % (11130)Termination reason: Unknown
% 64.85/10.81 % (11130)Termination phase: Saturation
% 64.85/10.81
% 64.85/10.81 % (11130)Memory used [KB]: 10362
% 64.85/10.81 % (11130)Time elapsed: 3.196 s
% 64.85/10.81 % (11130)Instructions burned: 6454 (million)
% 64.85/10.81 % (11130)------------------------------
% 64.85/10.81 % (11130)------------------------------
% 64.85/10.83 % (11164)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_10864 for (2907ds/3174Mi)
% 64.85/10.85 % (11162)Instruction limit reached!
% 64.85/10.85 % (11162)------------------------------
% 64.85/10.85 % (11162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.85/10.85 % (11162)Termination reason: Unknown
% 64.85/10.85 % (11162)Termination phase: Saturation
% 64.85/10.85
% 64.85/10.85 % (11162)Memory used [KB]: 8955
% 64.85/10.85 % (11162)Time elapsed: 0.582 s
% 64.85/10.85 % (11162)Instructions burned: 1536 (million)
% 64.85/10.85 % (11162)------------------------------
% 64.85/10.85 % (11162)------------------------------
% 64.85/10.87 % (11165)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_10864 for (2907ds/307Mi)
% 65.78/10.99 % (11165)Instruction limit reached!
% 65.78/10.99 % (11165)------------------------------
% 65.78/10.99 % (11165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.78/10.99 % (11165)Termination reason: Unknown
% 65.78/10.99 % (11165)Termination phase: Saturation
% 65.78/10.99
% 65.78/10.99 % (11165)Memory used [KB]: 6140
% 65.78/10.99 % (11165)Time elapsed: 0.119 s
% 65.78/10.99 % (11165)Instructions burned: 307 (million)
% 65.78/10.99 % (11165)------------------------------
% 65.78/10.99 % (11165)------------------------------
% 65.78/11.01 % (11166)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_10864 for (2906ds/3619Mi)
% 68.16/11.05 % (11149)Instruction limit reached!
% 68.16/11.05 % (11149)------------------------------
% 68.16/11.05 % (11149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.16/11.05 % (11149)Termination reason: Unknown
% 68.16/11.05 % (11149)Termination phase: Saturation
% 68.16/11.05
% 68.16/11.05 % (11149)Memory used [KB]: 8059
% 68.16/11.05 % (11149)Time elapsed: 2.245 s
% 68.16/11.05 % (11149)Instructions burned: 5062 (million)
% 68.16/11.05 % (11149)------------------------------
% 68.16/11.05 % (11149)------------------------------
% 68.16/11.05 % (11166)Refutation not found, incomplete strategy
% 68.16/11.05 % (11166)------------------------------
% 68.16/11.05 % (11166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.16/11.05 % (11166)Termination reason: Refutation not found, incomplete strategy
% 68.16/11.05
% 68.16/11.05
% 68.16/11.05 % (11166)Memory used [KB]: 6908
% 68.16/11.05 % (11166)Time elapsed: 0.049 s
% 68.16/11.05 % (11166)Instructions burned: 91 (million)
% 68.16/11.05 % (11166)------------------------------
% 68.16/11.05 % (11166)------------------------------
% 68.16/11.06 % (11167)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_10864 for (2905ds/2325Mi)
% 68.16/11.07 % (11168)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_10864 for (2905ds/2341Mi)
% 71.63/11.72 % (11151)Instruction limit reached!
% 71.63/11.72 % (11151)------------------------------
% 71.63/11.72 % (11151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.63/11.72 % (11151)Termination reason: Unknown
% 71.63/11.72 % (11151)Termination phase: Saturation
% 71.63/11.72
% 71.63/11.72 % (11151)Memory used [KB]: 12153
% 71.63/11.72 % (11151)Time elapsed: 2.858 s
% 71.63/11.72 % (11151)Instructions burned: 5799 (million)
% 71.63/11.72 % (11151)------------------------------
% 71.63/11.72 % (11151)------------------------------
% 71.63/11.74 % (11169)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_10864 for (2898ds/7257Mi)
% 72.48/11.94 % (11161)Instruction limit reached!
% 72.48/11.94 % (11161)------------------------------
% 72.48/11.94 % (11161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.48/11.94 % (11161)Termination reason: Unknown
% 72.48/11.94 % (11161)Termination phase: Saturation
% 72.48/11.94
% 72.48/11.94 % (11161)Memory used [KB]: 10618
% 72.48/11.94 % (11161)Time elapsed: 1.832 s
% 72.48/11.94 % (11161)Instructions burned: 3673 (million)
% 72.48/11.94 % (11161)------------------------------
% 72.48/11.94 % (11161)------------------------------
% 72.48/11.96 % (11170)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_10864 for (2896ds/3710Mi)
% 76.40/12.22 % (11168)Instruction limit reached!
% 76.40/12.22 % (11168)------------------------------
% 76.40/12.22 % (11168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.40/12.22 % (11168)Termination reason: Unknown
% 76.40/12.22 % (11168)Termination phase: Saturation
% 76.40/12.22
% 76.40/12.22 % (11168)Memory used [KB]: 8955
% 76.40/12.22 % (11168)Time elapsed: 1.146 s
% 76.40/12.22 % (11168)Instructions burned: 2342 (million)
% 76.40/12.22 % (11168)------------------------------
% 76.40/12.22 % (11168)------------------------------
% 76.40/12.23 % (11171)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_10864 for (2893ds/326Mi)
% 76.40/12.25 % (11167)Instruction limit reached!
% 76.40/12.25 % (11167)------------------------------
% 76.40/12.25 % (11167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.40/12.25 % (11167)Termination reason: Unknown
% 76.40/12.25 % (11167)Termination phase: Saturation
% 76.40/12.25
% 76.40/12.25 % (11167)Memory used [KB]: 11897
% 76.40/12.25 % (11167)Time elapsed: 1.188 s
% 76.40/12.25 % (11167)Instructions burned: 2325 (million)
% 76.40/12.25 % (11167)------------------------------
% 76.40/12.25 % (11167)------------------------------
% 76.40/12.27 % (11172)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_10864 for (2893ds/1100Mi)
% 76.99/12.32 % (11163)Instruction limit reached!
% 76.99/12.32 % (11163)------------------------------
% 76.99/12.32 % (11163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.99/12.32 % (11163)Termination reason: Unknown
% 76.99/12.32 % (11163)Termination phase: Saturation
% 76.99/12.32
% 76.99/12.32 % (11163)Memory used [KB]: 8315
% 76.99/12.32 % (11163)Time elapsed: 2.043 s
% 76.99/12.32 % (11163)Instructions burned: 4637 (million)
% 76.99/12.32 % (11163)------------------------------
% 76.99/12.32 % (11163)------------------------------
% 76.99/12.34 % (11173)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_10864 for (2892ds/406Mi)
% 76.99/12.39 % (11171)Instruction limit reached!
% 76.99/12.39 % (11171)------------------------------
% 76.99/12.39 % (11171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.99/12.39 % (11171)Termination reason: Unknown
% 76.99/12.39 % (11171)Termination phase: Saturation
% 76.99/12.39
% 76.99/12.39 % (11171)Memory used [KB]: 7419
% 76.99/12.39 % (11171)Time elapsed: 0.161 s
% 76.99/12.39 % (11171)Instructions burned: 327 (million)
% 76.99/12.39 % (11171)------------------------------
% 76.99/12.39 % (11171)------------------------------
% 77.60/12.40 % (11173)Refutation not found, incomplete strategy
% 77.60/12.40 % (11173)------------------------------
% 77.60/12.40 % (11173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.60/12.40 % (11173)Termination reason: Refutation not found, incomplete strategy
% 77.60/12.40
% 77.60/12.40
% 77.60/12.40 % (11173)Memory used [KB]: 6268
% 77.60/12.40 % (11173)Time elapsed: 0.063 s
% 77.60/12.40 % (11173)Instructions burned: 132 (million)
% 77.60/12.40 % (11173)------------------------------
% 77.60/12.40 % (11173)------------------------------
% 77.60/12.41 % (11164)Instruction limit reached!
% 77.60/12.41 % (11164)------------------------------
% 77.60/12.41 % (11164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.60/12.41 % (11164)Termination reason: Unknown
% 77.60/12.41 % (11164)Termination phase: Saturation
% 77.60/12.41
% 77.60/12.41 % (11164)Memory used [KB]: 13304
% 77.60/12.41 % (11164)Time elapsed: 1.576 s
% 77.60/12.41 % (11164)Instructions burned: 3174 (million)
% 77.60/12.41 % (11164)------------------------------
% 77.60/12.41 % (11164)------------------------------
% 77.60/12.41 % (11174)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_10864 for (2892ds/1871Mi)
% 77.60/12.42 % (11175)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_10864 for (2892ds/1194Mi)
% 77.60/12.42 % (11176)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_10864 for (2891ds/474Mi)
% 78.31/12.60 % (11176)Instruction limit reached!
% 78.31/12.60 % (11176)------------------------------
% 78.31/12.60 % (11176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.31/12.60 % (11176)Termination reason: Unknown
% 78.31/12.60 % (11176)Termination phase: Saturation
% 78.31/12.60
% 78.31/12.60 % (11176)Memory used [KB]: 7291
% 78.31/12.60 % (11176)Time elapsed: 0.181 s
% 78.31/12.60 % (11176)Instructions burned: 474 (million)
% 78.31/12.60 % (11176)------------------------------
% 78.31/12.60 % (11176)------------------------------
% 78.31/12.62 % (11177)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_10864 for (2890ds/3115Mi)
% 79.10/12.82 % (11172)Instruction limit reached!
% 79.10/12.82 % (11172)------------------------------
% 79.10/12.82 % (11172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.10/12.82 % (11172)Termination reason: Unknown
% 79.10/12.82 % (11172)Termination phase: Saturation
% 79.10/12.82
% 79.10/12.82 % (11172)Memory used [KB]: 10106
% 79.10/12.82 % (11172)Time elapsed: 0.556 s
% 79.10/12.82 % (11172)Instructions burned: 1100 (million)
% 79.10/12.82 % (11172)------------------------------
% 79.10/12.82 % (11172)------------------------------
% 79.10/12.84 % (11178)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_10864 for (2887ds/831Mi)
% 79.97/13.02 % (11175)Instruction limit reached!
% 79.97/13.02 % (11175)------------------------------
% 79.97/13.02 % (11175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.97/13.02 % (11175)Termination reason: Unknown
% 79.97/13.02 % (11175)Termination phase: Saturation
% 79.97/13.02
% 79.97/13.02 % (11175)Memory used [KB]: 9850
% 79.97/13.02 % (11175)Time elapsed: 0.603 s
% 79.97/13.02 % (11175)Instructions burned: 1195 (million)
% 79.97/13.02 % (11175)------------------------------
% 79.97/13.02 % (11175)------------------------------
% 82.17/13.04 % (11179)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_10864 for (2885ds/1188Mi)
% 83.23/13.26 % (11178)Instruction limit reached!
% 83.23/13.26 % (11178)------------------------------
% 83.23/13.26 % (11178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.23/13.26 % (11178)Termination reason: Unknown
% 83.23/13.26 % (11178)Termination phase: Saturation
% 83.23/13.26
% 83.23/13.26 % (11178)Memory used [KB]: 7547
% 83.23/13.26 % (11178)Time elapsed: 0.419 s
% 83.23/13.26 % (11178)Instructions burned: 831 (million)
% 83.23/13.26 % (11178)------------------------------
% 83.23/13.26 % (11178)------------------------------
% 83.23/13.27 % (11180)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_10864 for (2883ds/2868Mi)
% 83.79/13.35 % (11174)Instruction limit reached!
% 83.79/13.35 % (11174)------------------------------
% 83.79/13.35 % (11174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.79/13.35 % (11174)Termination reason: Unknown
% 83.79/13.35 % (11174)Termination phase: Saturation
% 83.79/13.35
% 83.79/13.35 % (11174)Memory used [KB]: 13176
% 83.79/13.35 % (11174)Time elapsed: 0.943 s
% 83.79/13.35 % (11174)Instructions burned: 1871 (million)
% 83.79/13.35 % (11174)------------------------------
% 83.79/13.35 % (11174)------------------------------
% 83.79/13.37 % (11181)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_10864 for (2882ds/1516Mi)
% 84.66/13.52 % (11179)Instruction limit reached!
% 84.66/13.52 % (11179)------------------------------
% 84.66/13.52 % (11179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.66/13.52 % (11179)Termination reason: Unknown
% 84.66/13.52 % (11179)Termination phase: Saturation
% 84.66/13.52
% 84.66/13.52 % (11179)Memory used [KB]: 7803
% 84.66/13.52 % (11179)Time elapsed: 0.486 s
% 84.66/13.52 % (11179)Instructions burned: 1189 (million)
% 84.66/13.52 % (11179)------------------------------
% 84.66/13.52 % (11179)------------------------------
% 84.66/13.54 % (11182)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_10864 for (2880ds/2321Mi)
% 84.66/13.57 % (11170)Instruction limit reached!
% 84.66/13.57 % (11170)------------------------------
% 84.66/13.57 % (11170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.66/13.57 % (11170)Termination reason: Unknown
% 84.66/13.57 % (11170)Termination phase: Saturation
% 84.66/13.57
% 84.66/13.57 % (11170)Memory used [KB]: 9338
% 84.66/13.57 % (11170)Time elapsed: 1.620 s
% 84.66/13.57 % (11170)Instructions burned: 3711 (million)
% 84.66/13.57 % (11170)------------------------------
% 84.66/13.57 % (11170)------------------------------
% 84.66/13.59 % (11183)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_10864 for (2880ds/2812Mi)
% 85.55/13.64 % (11159)Instruction limit reached!
% 85.55/13.64 % (11159)------------------------------
% 85.55/13.64 % (11159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.55/13.64 % (11159)Termination reason: Unknown
% 85.55/13.64 % (11159)Termination phase: Saturation
% 85.55/13.64
% 85.55/13.64 % (11159)Memory used [KB]: 15991
% 85.55/13.64 % (11159)Time elapsed: 3.698 s
% 85.55/13.64 % (11159)Instructions burned: 7680 (million)
% 85.55/13.64 % (11159)------------------------------
% 85.55/13.64 % (11159)------------------------------
% 85.55/13.65 % (11184)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_10864 for (2879ds/4604Mi)
% 85.80/13.79 % (11177)Instruction limit reached!
% 85.80/13.79 % (11177)------------------------------
% 85.80/13.79 % (11177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.80/13.79 % (11177)Termination reason: Unknown
% 85.80/13.79 % (11177)Termination phase: Saturation
% 85.80/13.79
% 85.80/13.79 % (11177)Memory used [KB]: 7547
% 85.80/13.79 % (11177)Time elapsed: 1.166 s
% 85.80/13.79 % (11177)Instructions burned: 3115 (million)
% 85.80/13.79 % (11177)------------------------------
% 85.80/13.79 % (11177)------------------------------
% 86.00/13.81 % (11185)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_10864 for (2878ds/2678Mi)
% 89.18/14.10 % (11181)Instruction limit reached!
% 89.18/14.10 % (11181)------------------------------
% 89.18/14.10 % (11181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 89.18/14.10 % (11181)Termination reason: Unknown
% 89.18/14.10 % (11181)Termination phase: Saturation
% 89.18/14.10
% 89.18/14.10 % (11181)Memory used [KB]: 10106
% 89.18/14.10 % (11181)Time elapsed: 0.738 s
% 89.18/14.10 % (11181)Instructions burned: 1516 (million)
% 89.18/14.10 % (11181)------------------------------
% 89.18/14.10 % (11181)------------------------------
% 89.18/14.12 % (11186)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_10864 for (2875ds/643Mi)
% 90.30/14.27 % (11180)Instruction limit reached!
% 90.30/14.27 % (11180)------------------------------
% 90.30/14.27 % (11180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.30/14.27 % (11180)Termination reason: Unknown
% 90.30/14.27 % (11180)Termination phase: Saturation
% 90.30/14.27
% 90.30/14.27 % (11180)Memory used [KB]: 6652
% 90.30/14.27 % (11180)Time elapsed: 0.994 s
% 90.30/14.27 % (11180)Instructions burned: 2868 (million)
% 90.30/14.27 % (11180)------------------------------
% 90.30/14.27 % (11180)------------------------------
% 90.30/14.29 % (11187)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_10864 for (2873ds/458Mi)
% 90.86/14.38 % (11186)Instruction limit reached!
% 90.86/14.38 % (11186)------------------------------
% 90.86/14.38 % (11186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.86/14.38 % (11186)Termination reason: Unknown
% 90.86/14.38 % (11186)Termination phase: Saturation
% 90.86/14.38
% 90.86/14.38 % (11186)Memory used [KB]: 7419
% 90.86/14.38 % (11186)Time elapsed: 0.257 s
% 90.86/14.38 % (11186)Instructions burned: 643 (million)
% 90.86/14.38 % (11186)------------------------------
% 90.86/14.38 % (11186)------------------------------
% 90.86/14.40 % (11188)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_10864 for (2872ds/2546Mi)
% 91.58/14.47 % (11182)Instruction limit reached!
% 91.58/14.47 % (11182)------------------------------
% 91.58/14.47 % (11182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.58/14.47 % (11182)Termination reason: Unknown
% 91.58/14.47 % (11182)Termination phase: Saturation
% 91.58/14.47
% 91.58/14.47 % (11182)Memory used [KB]: 8187
% 91.58/14.47 % (11182)Time elapsed: 0.936 s
% 91.58/14.47 % (11182)Instructions burned: 2321 (million)
% 91.58/14.47 % (11182)------------------------------
% 91.58/14.47 % (11182)------------------------------
% 91.58/14.49 % (11189)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_10864 for (2871ds/1432Mi)
% 92.02/14.52 % (11187)Instruction limit reached!
% 92.02/14.52 % (11187)------------------------------
% 92.02/14.52 % (11187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.02/14.52 % (11187)Termination reason: Unknown
% 92.02/14.52 % (11187)Termination phase: Saturation
% 92.02/14.52
% 92.02/14.52 % (11187)Memory used [KB]: 7164
% 92.02/14.52 % (11187)Time elapsed: 0.189 s
% 92.02/14.52 % (11187)Instructions burned: 462 (million)
% 92.02/14.52 % (11187)------------------------------
% 92.02/14.52 % (11187)------------------------------
% 92.02/14.54 % (11190)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_10864 for (2870ds/386Mi)
% 92.84/14.73 % (11190)Instruction limit reached!
% 92.84/14.73 % (11190)------------------------------
% 92.84/14.73 % (11190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.84/14.73 % (11190)Termination reason: Unknown
% 92.84/14.73 % (11190)Termination phase: Saturation
% 92.84/14.73
% 92.84/14.73 % (11190)Memory used [KB]: 6140
% 92.84/14.73 % (11190)Time elapsed: 0.105 s
% 92.84/14.73 % (11190)Instructions burned: 387 (million)
% 92.84/14.73 % (11190)------------------------------
% 92.84/14.73 % (11190)------------------------------
% 92.84/14.75 % (11191)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_10864 for (2868ds/360Mi)
% 93.36/14.88 % (11191)Instruction limit reached!
% 93.36/14.88 % (11191)------------------------------
% 93.36/14.88 % (11191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.36/14.88 % (11191)Termination reason: Unknown
% 93.36/14.88 % (11191)Termination phase: Saturation
% 93.36/14.88
% 93.36/14.88 % (11191)Memory used [KB]: 6396
% 93.36/14.88 % (11191)Time elapsed: 0.140 s
% 93.36/14.88 % (11191)Instructions burned: 362 (million)
% 93.36/14.88 % (11191)------------------------------
% 93.36/14.88 % (11191)------------------------------
% 93.91/14.90 % (11192)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_10864 for (2867ds/5446Mi)
% 93.91/14.91 % (11185)Instruction limit reached!
% 93.91/14.91 % (11185)------------------------------
% 93.91/14.91 % (11185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.91/14.91 % (11185)Termination reason: Unknown
% 93.91/14.91 % (11185)Termination phase: Saturation
% 93.91/14.91
% 93.91/14.91 % (11185)Memory used [KB]: 8059
% 93.91/14.91 % (11185)Time elapsed: 1.083 s
% 93.91/14.91 % (11185)Instructions burned: 2680 (million)
% 93.91/14.91 % (11185)------------------------------
% 93.91/14.91 % (11185)------------------------------
% 93.91/14.93 % (11193)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_10864 for (2867ds/2573Mi)
% 93.91/14.99 % (11183)Instruction limit reached!
% 93.91/14.99 % (11183)------------------------------
% 93.91/14.99 % (11183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.91/14.99 % (11183)Termination reason: Unknown
% 93.91/14.99 % (11183)Termination phase: Saturation
% 93.91/14.99
% 93.91/14.99 % (11183)Memory used [KB]: 10746
% 93.91/14.99 % (11183)Time elapsed: 1.398 s
% 93.91/14.99 % (11183)Instructions burned: 2812 (million)
% 93.91/14.99 % (11183)------------------------------
% 93.91/14.99 % (11183)------------------------------
% 93.91/15.01 % (11194)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_10864 for (2866ds/2655Mi)
% 95.71/15.03 % (11189)Instruction limit reached!
% 95.71/15.03 % (11189)------------------------------
% 95.71/15.03 % (11189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 95.71/15.03 % (11189)Termination reason: Unknown
% 95.71/15.03 % (11189)Termination phase: Saturation
% 95.71/15.03
% 95.71/15.03 % (11189)Memory used [KB]: 8955
% 95.71/15.03 % (11189)Time elapsed: 0.539 s
% 95.71/15.03 % (11189)Instructions burned: 1433 (million)
% 95.71/15.03 % (11189)------------------------------
% 95.71/15.03 % (11189)------------------------------
% 95.71/15.04 % (11195)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_10864 for (2865ds/2781Mi)
% 96.77/15.27 % (11169)Instruction limit reached!
% 96.77/15.27 % (11169)------------------------------
% 96.77/15.27 % (11169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 96.77/15.27 % (11169)Termination reason: Unknown
% 96.77/15.27 % (11169)Termination phase: Saturation
% 96.77/15.27
% 96.77/15.27 % (11169)Memory used [KB]: 8955
% 96.77/15.27 % (11169)Time elapsed: 3.535 s
% 96.77/15.27 % (11169)Instructions burned: 7257 (million)
% 96.77/15.27 % (11169)------------------------------
% 96.77/15.27 % (11169)------------------------------
% 96.77/15.29 % (11196)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_10864 for (2863ds/307Mi)
% 97.85/15.41 % (11196)Instruction limit reached!
% 97.85/15.41 % (11196)------------------------------
% 97.85/15.41 % (11196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 97.85/15.41 % (11196)Termination reason: Unknown
% 97.85/15.41 % (11196)Termination phase: Saturation
% 97.85/15.41
% 97.85/15.41 % (11196)Memory used [KB]: 6140
% 97.85/15.41 % (11196)Time elapsed: 0.122 s
% 97.85/15.41 % (11196)Instructions burned: 308 (million)
% 97.85/15.41 % (11196)------------------------------
% 97.85/15.41 % (11196)------------------------------
% 97.85/15.43 % (11197)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_10864 for (2862ds/1548Mi)
% 98.99/15.67 % (11188)Instruction limit reached!
% 98.99/15.67 % (11188)------------------------------
% 98.99/15.67 % (11188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.99/15.67 % (11188)Termination reason: Unknown
% 98.99/15.67 % (11188)Termination phase: Saturation
% 98.99/15.67
% 98.99/15.67 % (11188)Memory used [KB]: 10746
% 98.99/15.67 % (11188)Time elapsed: 1.277 s
% 98.99/15.67 % (11188)Instructions burned: 2546 (million)
% 98.99/15.67 % (11188)------------------------------
% 98.99/15.67 % (11188)------------------------------
% 98.99/15.69 % (11198)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_10864 for (2859ds/5214Mi)
% 99.88/15.89 % (11184)Instruction limit reached!
% 99.88/15.89 % (11184)------------------------------
% 99.88/15.89 % (11184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.88/15.89 % (11184)Termination reason: Unknown
% 99.88/15.89 % (11184)Termination phase: Saturation
% 99.88/15.89
% 99.88/15.89 % (11184)Memory used [KB]: 13048
% 99.88/15.89 % (11184)Time elapsed: 2.234 s
% 99.88/15.89 % (11184)Instructions burned: 4604 (million)
% 99.88/15.89 % (11184)------------------------------
% 99.88/15.89 % (11184)------------------------------
% 100.28/15.91 % (11200)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_10864 for (2857ds/3201Mi)
% 100.28/15.95 % (11193)Instruction limit reached!
% 100.28/15.95 % (11193)------------------------------
% 100.28/15.95 % (11193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.28/15.95 % (11193)Termination reason: Unknown
% 100.28/15.95 % (11193)Termination phase: Saturation
% 100.28/15.95
% 100.28/15.95 % (11193)Memory used [KB]: 7931
% 100.28/15.95 % (11193)Time elapsed: 1.048 s
% 100.28/15.95 % (11193)Instructions burned: 2574 (million)
% 100.28/15.95 % (11193)------------------------------
% 100.28/15.95 % (11193)------------------------------
% 100.28/15.97 % (11201)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_10864 for (2856ds/454Mi)
% 102.70/16.07 % (11194)Instruction limit reached!
% 102.70/16.07 % (11194)------------------------------
% 102.70/16.07 % (11194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 102.70/16.07 % (11194)Termination reason: Unknown
% 102.70/16.07 % (11194)Termination phase: Saturation
% 102.70/16.07
% 102.70/16.07 % (11194)Memory used [KB]: 3582
% 102.70/16.07 % (11194)Time elapsed: 1.087 s
% 102.70/16.07 % (11194)Instructions burned: 2655 (million)
% 102.70/16.07 % (11194)------------------------------
% 102.70/16.07 % (11194)------------------------------
% 102.70/16.09 % (11202)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_10864 for (2855ds/3049Mi)
% 103.36/16.15 % (11201)Instruction limit reached!
% 103.36/16.15 % (11201)------------------------------
% 103.36/16.15 % (11201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 103.36/16.15 % (11201)Termination reason: Unknown
% 103.36/16.15 % (11201)Termination phase: Saturation
% 103.36/16.15
% 103.36/16.15 % (11201)Memory used [KB]: 11769
% 103.36/16.15 % (11201)Time elapsed: 0.176 s
% 103.36/16.15 % (11201)Instructions burned: 455 (million)
% 103.36/16.15 % (11201)------------------------------
% 103.36/16.15 % (11201)------------------------------
% 103.36/16.16 % (11197)Instruction limit reached!
% 103.36/16.16 % (11197)------------------------------
% 103.36/16.16 % (11197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 103.36/16.16 % (11197)Termination reason: Unknown
% 103.36/16.16 % (11197)Termination phase: Saturation
% 103.36/16.16
% 103.36/16.16 % (11197)Memory used [KB]: 9466
% 103.36/16.16 % (11197)Time elapsed: 0.759 s
% 103.36/16.16 % (11197)Instructions burned: 1549 (million)
% 103.36/16.16 % (11197)------------------------------
% 103.36/16.16 % (11197)------------------------------
% 103.36/16.16 % (11203)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_10864 for (2854ds/7311Mi)
% 103.36/16.18 % (11204)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_10864 for (2854ds/6804Mi)
% 103.72/16.22 % (11204)Refutation not found, incomplete strategy
% 103.72/16.22 % (11204)------------------------------
% 103.72/16.22 % (11204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 103.72/16.22 % (11204)Termination reason: Refutation not found, incomplete strategy
% 103.72/16.22
% 103.72/16.22
% 103.72/16.22 % (11204)Memory used [KB]: 7036
% 103.72/16.22 % (11204)Time elapsed: 0.050 s
% 103.72/16.22 % (11204)Instructions burned: 98 (million)
% 103.72/16.22 % (11204)------------------------------
% 103.72/16.22 % (11204)------------------------------
% 103.72/16.24 % (11205)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_10864 for (2853ds/1683Mi)
% 104.60/16.41 % (11195)Instruction limit reached!
% 104.60/16.41 % (11195)------------------------------
% 104.60/16.41 % (11195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 104.60/16.41 % (11195)Termination reason: Unknown
% 104.60/16.41 % (11195)Termination phase: Saturation
% 104.60/16.41
% 104.60/16.41 % (11195)Memory used [KB]: 6524
% 104.60/16.41 % (11195)Time elapsed: 1.386 s
% 104.60/16.41 % (11195)Instructions burned: 2781 (million)
% 104.60/16.41 % (11195)------------------------------
% 104.60/16.41 % (11195)------------------------------
% 104.60/16.42 % (11206)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_10864 for (2851ds/4688Mi)
% 109.69/17.07 % (11205)Instruction limit reached!
% 109.69/17.07 % (11205)------------------------------
% 109.69/17.07 % (11205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 109.69/17.07 % (11205)Termination reason: Unknown
% 109.69/17.07 % (11205)Termination phase: Saturation
% 109.69/17.07
% 109.69/17.07 % (11205)Memory used [KB]: 13944
% 109.69/17.07 % (11205)Time elapsed: 0.827 s
% 109.69/17.07 % (11205)Instructions burned: 1684 (million)
% 109.69/17.07 % (11205)------------------------------
% 109.69/17.07 % (11205)------------------------------
% 109.69/17.09 % (11207)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_10864 for (2845ds/2207Mi)
% 110.82/17.28 % (11198)Instruction limit reached!
% 110.82/17.28 % (11198)------------------------------
% 110.82/17.28 % (11198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 110.82/17.28 % (11198)Termination reason: Unknown
% 110.82/17.28 % (11198)Termination phase: Saturation
% 110.82/17.28
% 110.82/17.28 % (11198)Memory used [KB]: 7036
% 110.82/17.28 % (11198)Time elapsed: 1.615 s
% 110.82/17.28 % (11198)Instructions burned: 5216 (million)
% 110.82/17.28 % (11198)------------------------------
% 110.82/17.28 % (11198)------------------------------
% 110.82/17.29 % (11208)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_10864 for (2843ds/8216Mi)
% 112.42/17.51 % (11200)Instruction limit reached!
% 112.42/17.51 % (11200)------------------------------
% 112.42/17.51 % (11200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 112.42/17.51 % (11200)Termination reason: Unknown
% 112.42/17.51 % (11200)Termination phase: Saturation
% 112.42/17.51
% 112.42/17.51 % (11200)Memory used [KB]: 9722
% 112.42/17.51 % (11200)Time elapsed: 1.627 s
% 112.42/17.51 % (11200)Instructions burned: 3201 (million)
% 112.42/17.51 % (11200)------------------------------
% 112.42/17.51 % (11200)------------------------------
% 112.42/17.52 % (11202)Instruction limit reached!
% 112.42/17.52 % (11202)------------------------------
% 112.42/17.52 % (11202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 112.42/17.52 % (11202)Termination reason: Unknown
% 112.42/17.52 % (11202)Termination phase: Saturation
% 112.42/17.52
% 112.42/17.52 % (11202)Memory used [KB]: 8443
% 112.42/17.52 % (11202)Time elapsed: 1.438 s
% 112.42/17.52 % (11202)Instructions burned: 3050 (million)
% 112.42/17.52 % (11202)------------------------------
% 112.42/17.52 % (11202)------------------------------
% 112.42/17.53 % (11209)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_10864 for (2840ds/430Mi)
% 112.42/17.54 % (11210)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_10864 for (2840ds/2012Mi)
% 112.77/17.64 % (11192)Instruction limit reached!
% 112.77/17.64 % (11192)------------------------------
% 112.77/17.64 % (11192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 112.77/17.64 % (11192)Termination reason: Unknown
% 112.77/17.64 % (11192)Termination phase: Saturation
% 112.77/17.64
% 112.77/17.64 % (11192)Memory used [KB]: 14200
% 112.77/17.64 % (11192)Time elapsed: 2.764 s
% 112.77/17.64 % (11192)Instructions burned: 5446 (million)
% 112.77/17.64 % (11192)------------------------------
% 112.77/17.64 % (11192)------------------------------
% 112.77/17.66 % (11211)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_10864 for (2839ds/631Mi)
% 113.02/17.70 % (11209)Instruction limit reached!
% 113.02/17.70 % (11209)------------------------------
% 113.02/17.70 % (11209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.02/17.70 % (11209)Termination reason: Unknown
% 113.02/17.70 % (11209)Termination phase: Saturation
% 113.02/17.70
% 113.02/17.70 % (11209)Memory used [KB]: 7675
% 113.02/17.70 % (11209)Time elapsed: 0.171 s
% 113.02/17.70 % (11209)Instructions burned: 430 (million)
% 113.02/17.70 % (11209)------------------------------
% 113.02/17.70 % (11209)------------------------------
% 113.02/17.71 % (11212)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_10864 for (2839ds/8785Mi)
% 113.60/17.96 % (11211)Instruction limit reached!
% 113.60/17.96 % (11211)------------------------------
% 113.60/17.96 % (11211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.60/17.96 % (11211)Termination reason: Unknown
% 113.60/17.96 % (11211)Termination phase: Saturation
% 113.60/17.96
% 113.60/17.96 % (11211)Memory used [KB]: 6652
% 113.60/17.96 % (11211)Time elapsed: 0.303 s
% 113.60/17.96 % (11211)Instructions burned: 631 (million)
% 113.60/17.96 % (11211)------------------------------
% 113.60/17.96 % (11211)------------------------------
% 113.60/17.98 % (11213)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_10864 for (2836ds/739Mi)
% 117.42/18.19 % (11207)Instruction limit reached!
% 117.42/18.19 % (11207)------------------------------
% 117.42/18.19 % (11207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 117.42/18.19 % (11207)Termination reason: Unknown
% 117.42/18.19 % (11207)Termination phase: Saturation
% 117.42/18.19
% 117.42/18.19 % (11207)Memory used [KB]: 9338
% 117.42/18.19 % (11207)Time elapsed: 1.106 s
% 117.42/18.19 % (11207)Instructions burned: 2208 (million)
% 117.42/18.19 % (11207)------------------------------
% 117.42/18.19 % (11207)------------------------------
% 117.93/18.21 % (11214)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_10864 for (2834ds/5473Mi)
% 118.52/18.34 % (11213)Instruction limit reached!
% 118.52/18.34 % (11213)------------------------------
% 118.52/18.34 % (11213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 118.52/18.34 % (11213)Termination reason: Unknown
% 118.52/18.34 % (11213)Termination phase: Saturation
% 118.52/18.34
% 118.52/18.34 % (11213)Memory used [KB]: 9210
% 118.52/18.34 % (11213)Time elapsed: 0.367 s
% 118.52/18.34 % (11213)Instructions burned: 739 (million)
% 118.52/18.34 % (11213)------------------------------
% 118.52/18.34 % (11213)------------------------------
% 118.52/18.36 % (11215)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_10864 for (2832ds/43570Mi)
% 119.08/18.49 % (11210)Instruction limit reached!
% 119.08/18.49 % (11210)------------------------------
% 119.08/18.49 % (11210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 119.08/18.49 % (11210)Termination reason: Unknown
% 119.08/18.49 % (11210)Termination phase: Saturation
% 119.08/18.49
% 119.08/18.49 % (11210)Memory used [KB]: 16119
% 119.08/18.49 % (11210)Time elapsed: 0.952 s
% 119.08/18.49 % (11210)Instructions burned: 2013 (million)
% 119.08/18.49 % (11210)------------------------------
% 119.08/18.49 % (11210)------------------------------
% 119.59/18.51 % (11216)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_10864 for (2831ds/8382Mi)
% 119.99/18.66 % (11206)Instruction limit reached!
% 119.99/18.66 % (11206)------------------------------
% 119.99/18.66 % (11206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 119.99/18.66 % (11206)Termination reason: Unknown
% 119.99/18.66 % (11206)Termination phase: Saturation
% 119.99/18.66
% 119.99/18.66 % (11206)Memory used [KB]: 11897
% 119.99/18.66 % (11206)Time elapsed: 2.240 s
% 119.99/18.66 % (11206)Instructions burned: 4689 (million)
% 119.99/18.66 % (11206)------------------------------
% 119.99/18.66 % (11206)------------------------------
% 119.99/18.68 % (11217)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_10864 for (2829ds/407Mi)
% 120.67/18.88 % (11217)Instruction limit reached!
% 120.67/18.88 % (11217)------------------------------
% 120.67/18.88 % (11217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 120.67/18.88 % (11217)Termination reason: Unknown
% 120.67/18.88 % (11217)Termination phase: Saturation
% 120.67/18.88
% 120.67/18.88 % (11217)Memory used [KB]: 7291
% 120.67/18.88 % (11217)Time elapsed: 0.201 s
% 120.67/18.88 % (11217)Instructions burned: 407 (million)
% 120.67/18.88 % (11217)------------------------------
% 120.67/18.88 % (11217)------------------------------
% 121.19/18.90 % (11218)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_10864 for (2827ds/2971Mi)
% 129.81/19.91 % (11203)Instruction limit reached!
% 129.81/19.91 % (11203)------------------------------
% 129.81/19.91 % (11203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.81/19.91 % (11203)Termination reason: Unknown
% 129.81/19.91 % (11203)Termination phase: Saturation
% 129.81/19.91
% 129.81/19.91 % (11203)Memory used [KB]: 16247
% 129.81/19.91 % (11203)Time elapsed: 3.753 s
% 129.81/19.91 % (11203)Instructions burned: 7312 (million)
% 129.81/19.91 % (11203)------------------------------
% 129.81/19.91 % (11203)------------------------------
% 129.81/19.93 % (11218)Instruction limit reached!
% 129.81/19.93 % (11218)------------------------------
% 129.81/19.93 % (11218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.81/19.93 % (11218)Termination reason: Unknown
% 129.81/19.93 % (11218)Termination phase: Saturation
% 129.81/19.93
% 129.81/19.93 % (11218)Memory used [KB]: 6652
% 129.81/19.93 % (11218)Time elapsed: 1.039 s
% 129.81/19.93 % (11218)Instructions burned: 2971 (million)
% 129.81/19.93 % (11218)------------------------------
% 129.81/19.93 % (11218)------------------------------
% 129.81/19.93 % (11219)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_10864 for (2816ds/9822Mi)
% 129.81/19.94 % (11220)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_10864 for (2816ds/8425Mi)
% 136.08/20.81 % (11214)Instruction limit reached!
% 136.08/20.81 % (11214)------------------------------
% 136.08/20.81 % (11214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 136.08/20.81 % (11214)Termination reason: Unknown
% 136.08/20.81 % (11214)Termination phase: Saturation
% 136.08/20.81
% 136.08/20.81 % (11214)Memory used [KB]: 10490
% 136.08/20.81 % (11214)Time elapsed: 2.605 s
% 136.08/20.81 % (11214)Instructions burned: 5473 (million)
% 136.08/20.81 % (11214)------------------------------
% 136.08/20.81 % (11214)------------------------------
% 136.08/20.83 % (11221)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_10864 for (2807ds/3107Mi)
% 138.39/21.13 % (11208)Instruction limit reached!
% 138.39/21.13 % (11208)------------------------------
% 138.39/21.13 % (11208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 138.39/21.13 % (11208)Termination reason: Unknown
% 138.39/21.13 % (11208)Termination phase: Saturation
% 138.39/21.13
% 138.39/21.13 % (11208)Memory used [KB]: 11129
% 138.39/21.13 % (11208)Time elapsed: 3.838 s
% 138.39/21.13 % (11208)Instructions burned: 8216 (million)
% 138.39/21.13 % (11208)------------------------------
% 138.39/21.13 % (11208)------------------------------
% 138.39/21.15 % (11222)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_10864 for (2804ds/7967Mi)
% 142.46/21.81 % (11212)Instruction limit reached!
% 142.46/21.81 % (11212)------------------------------
% 142.46/21.81 % (11212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.46/21.81 % (11212)Termination reason: Unknown
% 142.46/21.81 % (11212)Termination phase: Saturation
% 142.46/21.81
% 142.46/21.81 % (11212)Memory used [KB]: 18421
% 142.46/21.81 % (11212)Time elapsed: 4.092 s
% 142.46/21.81 % (11212)Instructions burned: 8787 (million)
% 142.46/21.81 % (11212)------------------------------
% 142.46/21.81 % (11212)------------------------------
% 142.46/21.82 % (11223)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_10864 for (2798ds/3629Mi)
% 142.97/21.96 % (11221)Instruction limit reached!
% 142.97/21.96 % (11221)------------------------------
% 142.97/21.96 % (11221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.97/21.96 % (11221)Termination reason: Unknown
% 142.97/21.96 % (11221)Termination phase: Saturation
% 142.97/21.96
% 142.97/21.96 % (11221)Memory used [KB]: 17910
% 142.97/21.96 % (11221)Time elapsed: 1.134 s
% 142.97/21.96 % (11221)Instructions burned: 3110 (million)
% 142.97/21.96 % (11221)------------------------------
% 142.97/21.96 % (11221)------------------------------
% 142.97/21.96 % (11216)Instruction limit reached!
% 142.97/21.96 % (11216)------------------------------
% 142.97/21.96 % (11216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.97/21.96 % (11216)Termination reason: Unknown
% 142.97/21.96 % (11216)Termination phase: Saturation
% 142.97/21.96
% 142.97/21.96 % (11216)Memory used [KB]: 13176
% 142.97/21.96 % (11216)Time elapsed: 3.457 s
% 142.97/21.96 % (11216)Instructions burned: 8383 (million)
% 142.97/21.96 % (11216)------------------------------
% 142.97/21.96 % (11216)------------------------------
% 142.97/21.97 % (11265)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_10864 for (2796ds/939Mi)
% 142.97/21.97 % (11267)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_10864 for (2796ds/1188Mi)
% 145.94/22.23 % (11265)Refutation not found, non-redundant clauses discarded% (11265)------------------------------
% 145.94/22.23 % (11265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 145.94/22.23 % (11265)Termination reason: Refutation not found, non-redundant clauses discarded
% 145.94/22.23
% 145.94/22.23 % (11265)Memory used [KB]: 7036
% 145.94/22.23 % (11265)Time elapsed: 0.283 s
% 145.94/22.23 % (11265)Instructions burned: 895 (million)
% 145.94/22.23 % (11265)------------------------------
% 145.94/22.23 % (11265)------------------------------
% 145.94/22.24 % (11381)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_10864 for (2793ds/3205Mi)
% 145.94/22.27 % (11267)Instruction limit reached!
% 145.94/22.27 % (11267)------------------------------
% 145.94/22.27 % (11267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 145.94/22.27 % (11267)Termination reason: Unknown
% 145.94/22.27 % (11267)Termination phase: Saturation
% 145.94/22.27
% 145.94/22.27 % (11267)Memory used [KB]: 7803
% 145.94/22.27 % (11267)Time elapsed: 0.318 s
% 145.94/22.27 % (11267)Instructions burned: 1189 (million)
% 145.94/22.27 % (11267)------------------------------
% 145.94/22.27 % (11267)------------------------------
% 145.94/22.28 % (11395)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_10864 for (2793ds/865Mi)
% 147.55/22.51 % (11395)Refutation not found, incomplete strategy
% 147.55/22.51 % (11395)------------------------------
% 147.55/22.51 % (11395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 147.55/22.51 % (11395)Termination reason: Refutation not found, incomplete strategy
% 147.55/22.51
% 147.55/22.51
% 147.55/22.51 % (11395)Memory used [KB]: 6268
% 147.55/22.51 % (11395)Time elapsed: 0.237 s
% 147.55/22.51 % (11395)Instructions burned: 822 (million)
% 147.55/22.51 % (11395)------------------------------
% 147.55/22.51 % (11395)------------------------------
% 147.55/22.52 % (11457)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_10864 for (2790ds/7469Mi)
% 149.29/22.86 % (11223)Instruction limit reached!
% 149.29/22.86 % (11223)------------------------------
% 149.29/22.86 % (11223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 149.29/22.86 % (11223)Termination reason: Unknown
% 149.29/22.86 % (11223)Termination phase: Saturation
% 149.29/22.86
% 149.29/22.86 % (11223)Memory used [KB]: 8059
% 149.29/22.86 % (11223)Time elapsed: 1.060 s
% 149.29/22.86 % (11223)Instructions burned: 3629 (million)
% 149.29/22.86 % (11223)------------------------------
% 149.29/22.86 % (11223)------------------------------
% 149.29/22.87 % (11458)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_10864 for (2787ds/4165Mi)
% 149.76/22.97 % (11220)Instruction limit reached!
% 149.76/22.97 % (11220)------------------------------
% 149.76/22.97 % (11220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 149.76/22.97 % (11220)Termination reason: Unknown
% 149.76/22.97 % (11220)Termination phase: Saturation
% 149.76/22.97
% 149.76/22.97 % (11220)Memory used [KB]: 11513
% 149.76/22.97 % (11220)Time elapsed: 3.033 s
% 149.76/22.97 % (11220)Instructions burned: 8426 (million)
% 149.76/22.97 % (11220)------------------------------
% 149.76/22.97 % (11220)------------------------------
% 149.76/22.99 % (11459)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_10864 for (2786ds/13468Mi)
% 152.93/23.26 % (11381)Instruction limit reached!
% 152.93/23.26 % (11381)------------------------------
% 152.93/23.26 % (11381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 152.93/23.26 % (11381)Termination reason: Unknown
% 152.93/23.26 % (11381)Termination phase: Saturation
% 152.93/23.26
% 152.93/23.26 % (11381)Memory used [KB]: 13688
% 152.93/23.26 % (11381)Time elapsed: 1.015 s
% 152.93/23.26 % (11381)Instructions burned: 3205 (million)
% 152.93/23.26 % (11381)------------------------------
% 152.93/23.26 % (11381)------------------------------
% 152.93/23.27 % (11460)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_10864 for (2783ds/2635Mi)
% 154.22/23.46 % (11222)Instruction limit reached!
% 154.22/23.46 % (11222)------------------------------
% 154.22/23.46 % (11222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 154.22/23.46 % (11222)Termination reason: Unknown
% 154.22/23.46 % (11222)Termination phase: Saturation
% 154.22/23.46
% 154.22/23.46 % (11222)Memory used [KB]: 9338
% 154.22/23.46 % (11222)Time elapsed: 2.311 s
% 154.22/23.46 % (11222)Instructions burned: 7967 (million)
% 154.22/23.46 % (11222)------------------------------
% 154.22/23.46 % (11222)------------------------------
% 154.22/23.47 % (11461)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_10864 for (2781ds/631Mi)
% 154.77/23.51 % (11219)Instruction limit reached!
% 154.77/23.51 % (11219)------------------------------
% 154.77/23.51 % (11219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 154.77/23.51 % (11219)Termination reason: Unknown
% 154.77/23.51 % (11219)Termination phase: Saturation
% 154.77/23.51
% 154.77/23.51 % (11219)Memory used [KB]: 22387
% 154.77/23.51 % (11219)Time elapsed: 3.580 s
% 154.77/23.51 % (11219)Instructions burned: 9822 (million)
% 154.77/23.51 % (11219)------------------------------
% 154.77/23.51 % (11219)------------------------------
% 154.77/23.52 % (11462)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_10864 for (2780ds/15557Mi)
% 155.20/23.63 % (11461)Instruction limit reached!
% 155.20/23.63 % (11461)------------------------------
% 155.20/23.63 % (11461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 155.20/23.63 % (11461)Termination reason: Unknown
% 155.20/23.63 % (11461)Termination phase: Saturation
% 155.20/23.63
% 155.20/23.63 % (11461)Memory used [KB]: 7419
% 155.20/23.63 % (11461)Time elapsed: 0.161 s
% 155.20/23.63 % (11461)Instructions burned: 633 (million)
% 155.20/23.63 % (11461)------------------------------
% 155.20/23.63 % (11461)------------------------------
% 155.20/23.64 % (11463)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_10864 for (2779ds/2142Mi)
% 158.71/24.12 % (11460)Instruction limit reached!
% 158.71/24.12 % (11460)------------------------------
% 158.71/24.12 % (11460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 158.71/24.12 % (11460)Termination reason: Unknown
% 158.71/24.12 % (11460)Termination phase: Saturation
% 158.71/24.12
% 158.71/24.12 % (11460)Memory used [KB]: 8699
% 158.71/24.12 % (11460)Time elapsed: 0.879 s
% 158.71/24.12 % (11460)Instructions burned: 2636 (million)
% 158.71/24.12 % (11460)------------------------------
% 158.71/24.12 % (11460)------------------------------
% 159.46/24.13 % (11464)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_10864 for (2774ds/5624Mi)
% 159.90/24.23 % (11458)Instruction limit reached!
% 159.90/24.23 % (11458)------------------------------
% 159.90/24.23 % (11458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 159.90/24.23 % (11458)Termination reason: Unknown
% 159.90/24.23 % (11458)Termination phase: Saturation
% 159.90/24.23
% 159.90/24.23 % (11458)Memory used [KB]: 18677
% 159.90/24.23 % (11458)Time elapsed: 1.365 s
% 159.90/24.23 % (11458)Instructions burned: 4165 (million)
% 159.90/24.23 % (11458)------------------------------
% 159.90/24.23 % (11458)------------------------------
% 159.90/24.24 % (11465)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_10864 for (2773ds/1665Mi)
% 160.45/24.33 % (11463)Instruction limit reached!
% 160.45/24.33 % (11463)------------------------------
% 160.45/24.33 % (11463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 160.45/24.33 % (11463)Termination reason: Unknown
% 160.45/24.33 % (11463)Termination phase: Saturation
% 160.45/24.33
% 160.45/24.33 % (11463)Memory used [KB]: 8699
% 160.45/24.33 % (11463)Time elapsed: 0.690 s
% 160.45/24.33 % (11463)Instructions burned: 2142 (million)
% 160.45/24.33 % (11463)------------------------------
% 160.45/24.33 % (11463)------------------------------
% 160.45/24.34 % (11466)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_10864 for (2772ds/64912Mi)
% 161.69/24.66 % (11465)Instruction limit reached!
% 161.69/24.66 % (11465)------------------------------
% 161.69/24.66 % (11465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 161.69/24.66 % (11465)Termination reason: Unknown
% 161.69/24.66 % (11465)Termination phase: Saturation
% 161.69/24.66
% 161.69/24.66 % (11465)Memory used [KB]: 8059
% 161.69/24.66 % (11465)Time elapsed: 0.413 s
% 161.69/24.66 % (11465)Instructions burned: 1666 (million)
% 161.69/24.66 % (11465)------------------------------
% 161.69/24.66 % (11465)------------------------------
% 161.69/24.67 % (11467)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_10864 for (2769ds/7801Mi)
% 162.90/24.83 % (11457)Instruction limit reached!
% 162.90/24.83 % (11457)------------------------------
% 162.90/24.83 % (11457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 162.90/24.83 % (11457)Termination reason: Unknown
% 162.90/24.83 % (11457)Termination phase: Saturation
% 162.90/24.83
% 162.90/24.83 % (11457)Memory used [KB]: 12281
% 162.90/24.83 % (11457)Time elapsed: 2.307 s
% 162.90/24.83 % (11457)Instructions burned: 7469 (million)
% 162.90/24.83 % (11457)------------------------------
% 162.90/24.83 % (11457)------------------------------
% 162.90/24.84 % (11468)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_10864 for (2767ds/15194Mi)
% 171.19/25.85 % (11464)Instruction limit reached!
% 171.19/25.85 % (11464)------------------------------
% 171.19/25.85 % (11464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 171.19/25.85 % (11464)Termination reason: Unknown
% 171.19/25.85 % (11464)Termination phase: Saturation
% 171.19/25.85
% 171.19/25.85 % (11464)Memory used [KB]: 10746
% 171.19/25.85 % (11464)Time elapsed: 1.739 s
% 171.19/25.85 % (11464)Instructions burned: 5626 (million)
% 171.19/25.85 % (11464)------------------------------
% 171.19/25.85 % (11464)------------------------------
% 171.19/25.86 % (11469)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_10864 for (2757ds/6753Mi)
% 171.19/25.89 % (11469)Refutation not found, incomplete strategy
% 171.19/25.89 % (11469)------------------------------
% 171.19/25.89 % (11469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 171.19/25.89 % (11469)Termination reason: Refutation not found, incomplete strategy
% 171.19/25.89
% 171.19/25.89
% 171.19/25.89 % (11469)Memory used [KB]: 7036
% 171.19/25.89 % (11469)Time elapsed: 0.035 s
% 171.19/25.89 % (11469)Instructions burned: 107 (million)
% 171.19/25.89 % (11469)------------------------------
% 171.19/25.89 % (11469)------------------------------
% 171.92/25.90 % (11470)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_10864 for (2757ds/1003Mi)
% 173.48/26.17 % (11470)Instruction limit reached!
% 173.48/26.17 % (11470)------------------------------
% 173.48/26.17 % (11470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 173.48/26.17 % (11470)Termination reason: Unknown
% 173.48/26.17 % (11470)Termination phase: Saturation
% 173.48/26.17
% 173.48/26.17 % (11470)Memory used [KB]: 7164
% 173.48/26.17 % (11470)Time elapsed: 0.271 s
% 173.48/26.17 % (11470)Instructions burned: 1003 (million)
% 173.48/26.17 % (11470)------------------------------
% 173.48/26.17 % (11470)------------------------------
% 173.48/26.18 % (11471)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_10864 for (2754ds/13018Mi)
% 177.61/26.88 % (11467)Instruction limit reached!
% 177.61/26.88 % (11467)------------------------------
% 177.61/26.88 % (11467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 177.61/26.88 % (11467)Termination reason: Unknown
% 177.61/26.88 % (11467)Termination phase: Saturation
% 177.61/26.88
% 177.61/26.88 % (11467)Memory used [KB]: 10234
% 177.61/26.88 % (11467)Time elapsed: 2.236 s
% 177.61/26.88 % (11467)Instructions burned: 7803 (million)
% 177.61/26.88 % (11467)------------------------------
% 177.61/26.88 % (11467)------------------------------
% 177.61/26.89 % (11472)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_10864 for (2747ds/1267Mi)
% 181.01/27.21 % (11459)Instruction limit reached!
% 181.01/27.21 % (11459)------------------------------
% 181.01/27.21 % (11459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 181.01/27.21 % (11459)Termination reason: Unknown
% 181.01/27.21 % (11459)Termination phase: Saturation
% 181.01/27.21
% 181.01/27.21 % (11459)Memory used [KB]: 22643
% 181.01/27.21 % (11459)Time elapsed: 4.223 s
% 181.01/27.21 % (11459)Instructions burned: 13469 (million)
% 181.01/27.21 % (11459)------------------------------
% 181.01/27.21 % (11459)------------------------------
% 181.01/27.22 % (11473)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_10864 for (2743ds/2570Mi)
% 181.01/27.29 % (11472)Instruction limit reached!
% 181.01/27.29 % (11472)------------------------------
% 181.01/27.29 % (11472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 181.01/27.29 % (11472)Termination reason: Unknown
% 181.01/27.29 % (11472)Termination phase: Saturation
% 181.01/27.29
% 181.01/27.29 % (11472)Memory used [KB]: 9978
% 181.01/27.29 % (11472)Time elapsed: 0.423 s
% 181.01/27.29 % (11472)Instructions burned: 1267 (million)
% 181.01/27.29 % (11472)------------------------------
% 181.01/27.29 % (11472)------------------------------
% 181.64/27.30 % (11474)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on DTF2THF_10864 for (2743ds/13163Mi)
% 184.15/27.80 % (11462)Instruction limit reached!
% 184.15/27.80 % (11462)------------------------------
% 184.15/27.80 % (11462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 184.15/27.80 % (11462)Termination reason: Unknown
% 184.15/27.80 % (11462)Termination phase: Saturation
% 184.15/27.80
% 184.15/27.80 % (11462)Memory used [KB]: 24946
% 184.15/27.80 % (11462)Time elapsed: 4.282 s
% 184.15/27.80 % (11462)Instructions burned: 15561 (million)
% 184.15/27.80 % (11462)------------------------------
% 184.15/27.80 % (11462)------------------------------
% 184.15/27.81 % (11475)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on DTF2THF_10864 for (2737ds/5087Mi)
% 184.15/27.86 % (11473)Instruction limit reached!
% 184.15/27.86 % (11473)------------------------------
% 184.15/27.86 % (11473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 184.15/27.86 % (11473)Termination reason: Unknown
% 184.15/27.86 % (11473)Termination phase: Saturation
% 184.15/27.86
% 184.15/27.86 % (11473)Memory used [KB]: 7931
% 184.15/27.86 % (11473)Time elapsed: 0.647 s
% 184.15/27.86 % (11473)Instructions burned: 2571 (million)
% 184.15/27.86 % (11473)------------------------------
% 184.15/27.86 % (11473)------------------------------
% 184.15/27.87 % (11476)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_10864 for (2737ds/10380Mi)
% 195.05/29.26 % (11468)Instruction limit reached!
% 195.05/29.26 % (11468)------------------------------
% 195.05/29.26 % (11468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 195.05/29.26 % (11468)Termination reason: Unknown
% 195.05/29.26 % (11468)Termination phase: Saturation
% 195.05/29.26
% 195.05/29.26 % (11468)Memory used [KB]: 17398
% 195.05/29.26 % (11468)Time elapsed: 4.439 s
% 195.05/29.26 % (11468)Instructions burned: 15197 (million)
% 195.05/29.26 % (11468)------------------------------
% 195.05/29.26 % (11468)------------------------------
% 195.05/29.27 % (11494)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_10864 for (2723ds/4218Mi)
% 196.32/29.44 % (11475)Instruction limit reached!
% 196.32/29.44 % (11475)------------------------------
% 196.32/29.44 % (11475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 196.32/29.44 % (11475)Termination reason: Unknown
% 196.32/29.44 % (11475)Termination phase: Saturation
% 196.32/29.44
% 196.32/29.44 % (11475)Memory used [KB]: 10746
% 196.32/29.44 % (11475)Time elapsed: 1.631 s
% 196.32/29.44 % (11475)Instructions burned: 5088 (million)
% 196.32/29.44 % (11475)------------------------------
% 196.32/29.44 % (11475)------------------------------
% 196.32/29.45 % (11578)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_10864 for (2721ds/3971Mi)
% 197.88/29.76 % (11471)Instruction limit reached!
% 197.88/29.76 % (11471)------------------------------
% 197.88/29.76 % (11471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 197.88/29.76 % (11471)Termination reason: Unknown
% 197.88/29.76 % (11471)Termination phase: Saturation
% 197.88/29.76
% 197.88/29.76 % (11471)Memory used [KB]: 24306
% 197.88/29.76 % (11471)Time elapsed: 3.601 s
% 197.88/29.76 % (11471)Instructions burned: 13021 (million)
% 197.88/29.76 % (11471)------------------------------
% 197.88/29.76 % (11471)------------------------------
% 197.88/29.77 % (11694)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_10864 for (2718ds/14014Mi)
% 198.78/29.99 % (11474)First to succeed.
% 198.78/29.99 % (11474)Refutation found. Thanks to Tanya!
% 198.78/29.99 % SZS status Theorem for DTF2THF_10864
% 198.78/29.99 % SZS output start Proof for DTF2THF_10864
% 198.78/29.99 thf(func_def_0, type, in: $i > $i > $o).
% 198.78/29.99 thf(func_def_1, type, exu: ($i > $o) > $o).
% 198.78/29.99 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 198.78/29.99 thf(func_def_8, type, powerset: $i > $i).
% 198.78/29.99 thf(func_def_10, type, setunion: $i > $i).
% 198.78/29.99 thf(func_def_19, type, descr: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_26, type, prop2set: $o > $i).
% 198.78/29.99 thf(func_def_36, type, nonempty: $i > $o).
% 198.78/29.99 thf(func_def_69, type, set2prop: $i > $o).
% 198.78/29.99 thf(func_def_88, type, subset: $i > $i > $o).
% 198.78/29.99 thf(func_def_89, type, disjoint: $i > $i > $o).
% 198.78/29.99 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 198.78/29.99 thf(func_def_115, type, sP1: $i > $i > $o).
% 198.78/29.99 thf(func_def_116, type, sP2: $i > $o).
% 198.78/29.99 thf(func_def_117, type, sP3: $i > $i > $o).
% 198.78/29.99 thf(func_def_118, type, sP4: $i > $i > $o).
% 198.78/29.99 thf(func_def_119, type, sK5: $i > $i > $o).
% 198.78/29.99 thf(func_def_121, type, sK7: $i > $i).
% 198.78/29.99 thf(func_def_122, type, sK8: $i > $i).
% 198.78/29.99 thf(func_def_123, type, sK9: $i > ($i > $i > $o) > $i).
% 198.78/29.99 thf(func_def_124, type, sK10: $i > ($i > $i > $o) > $i).
% 198.78/29.99 thf(func_def_125, type, sK11: $i > $i > ($i > $i > $o) > $i).
% 198.78/29.99 thf(func_def_127, type, sK13: $i > $o).
% 198.78/29.99 thf(func_def_129, type, sK15: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_133, type, sK19: $i > $o).
% 198.78/29.99 thf(func_def_137, type, sK23: ($i > $o) > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_138, type, sK24: ($i > $o) > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_139, type, sK25: $i > $o).
% 198.78/29.99 thf(func_def_140, type, sK26: $i > $o).
% 198.78/29.99 thf(func_def_146, type, sK32: $i > $i).
% 198.78/29.99 thf(func_def_151, type, sK37: $i > $i > $i).
% 198.78/29.99 thf(func_def_158, type, sK44: $i > $o).
% 198.78/29.99 thf(func_def_160, type, sK46: $i > $o).
% 198.78/29.99 thf(func_def_162, type, sK48: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_166, type, sK52: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_167, type, sK53: $i > $o).
% 198.78/29.99 thf(func_def_172, type, sK58: $i > $i > $i).
% 198.78/29.99 thf(func_def_173, type, sK59: $i > $i > $i).
% 198.78/29.99 thf(func_def_176, type, sK62: $i > $i > $i).
% 198.78/29.99 thf(func_def_182, type, sK68: $i > $o).
% 198.78/29.99 thf(func_def_184, type, sK70: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_185, type, sK71: $i > $o).
% 198.78/29.99 thf(func_def_186, type, sK72: $i > $i).
% 198.78/29.99 thf(func_def_187, type, sK73: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_189, type, sK75: $i > $o).
% 198.78/29.99 thf(func_def_191, type, sK77: $i > $o).
% 198.78/29.99 thf(func_def_193, type, sK79: $i > $o).
% 198.78/29.99 thf(func_def_196, type, sK82: $i > $o).
% 198.78/29.99 thf(func_def_208, type, sK94: ($i > $o) > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_209, type, sK95: ($i > $o) > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_210, type, sK96: $i > $o).
% 198.78/29.99 thf(func_def_211, type, sK97: $i > $o).
% 198.78/29.99 thf(func_def_214, type, sK100: $i > $o).
% 198.78/29.99 thf(func_def_217, type, sK103: ($i > $o) > ($i > $o) > $i > $i > $i).
% 198.78/29.99 thf(func_def_218, type, sK104: ($i > $o) > ($i > $o) > $i > $i > $i).
% 198.78/29.99 thf(func_def_221, type, sK107: $i > $o).
% 198.78/29.99 thf(func_def_222, type, sK108: $i > $o).
% 198.78/29.99 thf(func_def_231, type, sK117: $i > $i > $i).
% 198.78/29.99 thf(func_def_235, type, sK121: $i > $o).
% 198.78/29.99 thf(func_def_237, type, sK123: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_238, type, sK124: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_239, type, sK125: $i > $i).
% 198.78/29.99 thf(func_def_244, type, sK130: $o > $i > $i > $i).
% 198.78/29.99 thf(func_def_246, type, sK132: $i > $i).
% 198.78/29.99 thf(func_def_250, type, sK136: $i > $i).
% 198.78/29.99 thf(func_def_262, type, sK148: $i > $o).
% 198.78/29.99 thf(func_def_263, type, sK149: $i > $i).
% 198.78/29.99 thf(func_def_264, type, sK150: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_274, type, sK160: $i > $i).
% 198.78/29.99 thf(func_def_276, type, sK162: $i > $i).
% 198.78/29.99 thf(func_def_279, type, sK165: $i > $o).
% 198.78/29.99 thf(func_def_292, type, sK178: $i > $i > $i).
% 198.78/29.99 thf(func_def_293, type, sK179: $i > $i > $i).
% 198.78/29.99 thf(func_def_294, type, sK180: $i > $i > $i).
% 198.78/29.99 thf(func_def_295, type, sK181: $i > $i > $i).
% 198.78/29.99 thf(func_def_296, type, sK182: $i > $i > $i).
% 198.78/29.99 thf(func_def_297, type, sK183: $i > $i > $i > $i).
% 198.78/29.99 thf(func_def_298, type, sK184: $i > $i).
% 198.78/29.99 thf(func_def_299, type, sK185: $i > $i).
% 198.78/29.99 thf(func_def_300, type, sK186: $i > $i).
% 198.78/29.99 thf(func_def_301, type, sK187: $i > $i).
% 198.78/29.99 thf(func_def_302, type, sK188: $i > $i > $i).
% 198.78/29.99 thf(func_def_303, type, sK189: $i > $i > $i > $i).
% 198.78/29.99 thf(func_def_304, type, sK190: $i > $i > $i > $i).
% 198.78/29.99 thf(func_def_305, type, sK191: $i > $i > $i).
% 198.78/29.99 thf(func_def_306, type, sK192: $i > $i > $i).
% 198.78/29.99 thf(func_def_308, type, sK194: $i > $i).
% 198.78/29.99 thf(func_def_309, type, sK195: $i > $i).
% 198.78/29.99 thf(func_def_310, type, sK196: $i > $i).
% 198.78/29.99 thf(func_def_313, type, sK199: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_314, type, sK200: $i > $o).
% 198.78/29.99 thf(func_def_319, type, sK205: $i > $o).
% 198.78/29.99 thf(func_def_321, type, sK207: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_322, type, sK208: $i > $o).
% 198.78/29.99 thf(func_def_324, type, sK210: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_328, type, sK214: $i > $i).
% 198.78/29.99 thf(func_def_332, type, sK218: $i > $i > $i).
% 198.78/29.99 thf(func_def_338, type, sK224: $i > $o).
% 198.78/29.99 thf(func_def_341, type, sK227: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_342, type, sK228: $i > $o).
% 198.78/29.99 thf(func_def_345, type, sK231: $i > $o).
% 198.78/29.99 thf(func_def_347, type, sK233: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_349, type, sK235: $i > $o).
% 198.78/29.99 thf(func_def_354, type, sK240: $i > $i > $i).
% 198.78/29.99 thf(func_def_360, type, sK246: $i > $i > $i).
% 198.78/29.99 thf(func_def_364, type, sK250: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_365, type, sK251: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_366, type, sK252: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_367, type, sK253: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_368, type, sK254: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_369, type, sK255: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_370, type, sK256: $i > ($i > $i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_371, type, sK257: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_372, type, sK258: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_373, type, sK259: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_374, type, sK260: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_375, type, sK261: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_376, type, sK262: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_377, type, sK263: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_378, type, sK264: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_379, type, sK265: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_380, type, sK266: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_381, type, sK267: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_382, type, sK268: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_383, type, sK269: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_384, type, sK270: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_385, type, sK271: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_386, type, sK272: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_387, type, sK273: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_388, type, sK274: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_389, type, sK275: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_390, type, sK276: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_391, type, sK277: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_392, type, sK278: $i > ($i > $i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_393, type, sK279: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_394, type, sK280: $i > $i).
% 198.78/29.99 thf(func_def_395, type, sK281: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_396, type, sK282: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_397, type, sK283: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_398, type, sK284: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_399, type, sK285: $i > ($i > $o) > $i).
% 198.78/29.99 thf(func_def_400, type, sK286: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_401, type, sK287: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_402, type, sK288: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_403, type, sK289: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_404, type, sK290: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_405, type, sK291: ($i > $o) > $i > $i).
% 198.78/29.99 thf(func_def_406, type, sK292: $i > $i > ($i > $i > $o) > $i).
% 198.78/29.99 thf(func_def_407, type, sK293: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_408, type, sK294: ($i > $o) > $i).
% 198.78/29.99 thf(func_def_409, type, ph295: !>[X0: $tType]:(X0)).
% 198.78/29.99 thf(func_def_410, type, sK296: $i > $i).
% 198.78/29.99 thf(func_def_411, type, sK297: $i > $i).
% 198.78/29.99 thf(func_def_412, type, sK298: $i > $i).
% 198.78/29.99 thf(func_def_413, type, sK299: $i > $i).
% 198.78/29.99 thf(func_def_415, type, sK301: $i > $i).
% 198.78/29.99 thf(func_def_416, type, sK302: $i > $i).
% 198.78/29.99 thf(func_def_417, type, sK303: $i > $i).
% 198.78/29.99 thf(func_def_418, type, sK304: $i > $i).
% 198.78/29.99 thf(func_def_419, type, sK305: $i > $i).
% 198.78/29.99 thf(func_def_420, type, sK306: $i > $i).
% 198.78/29.99 thf(f22292,plain,(
% 198.78/29.99 $false),
% 198.78/29.99 inference(subsumption_resolution,[status(thm)],[f22291,f1091])).
% 198.78/29.99 thf(f1091,plain,(
% 198.78/29.99 ((subset @ sK167 @ sK166) != $true)),
% 198.78/29.99 inference(cnf_transformation,[status(thm)],[f671])).
% 198.78/29.99 thf(f671,plain,(
% 198.78/29.99 (noeltsimpempty = $true) & (emptysetsubset = $true) & (inCongP = $true) & (setoftrueEq = $true) & (subPowSU = $true) & (emptyset__Cong = $true) & (descrp = $true) & (omegaIndAx = $true) & (setext = $true) & (exuI3 = $true) & (powersetAx = $true) & (setunionI = $true) & (subsetE2 = $true) & (wellorderingAx = $true) & (exuE3u = $true) & (prop2set2propI = $true) & (emptyE1 = $true) & (powersetI = $true) & (notdexE = $true) & (exuE2 = $true) & (setunion__Cong = $true) & (upairsetIR = $true) & (replAx = $true) & (omega__Cong = $true) & (dsetconstrI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (powerset__Cong = $true) & (subsetE = $true) & (exu__Cong = $true) & (powersetE = $true) & (notinsingleton = $true) & (foundationAx = $true) & (notequalI2 = $true) & (nonemptyImpWitness = $true) & (upairsetIL = $true) & (setbeta = $true) & (emptyI = $true) & (omega0Ax = $true) & (nonemptyE1 = $true) & (subsetI2 = $true) & (setextAx = $true) & (eqinunit = $true) & (setunionAx = $true) & (notequalI1 = $true) & (uniqinunit = $true) & (exuEu = $true) & (((subset @ sK167 @ sK166) != $true) & ((subset @ sK168 @ sK166) = $true) & ((subset @ sK167 @ sK168) = $true)) & (setunionE = $true) & (emptysetimpfalse = $true) & (dsetconstrER = $true) & (subsetI1 = $true) & (singletonsswitch = $true) & (omegaSAx = $true) & (nonemptyI1 = $true) & (emptyInPowerset = $true) & (setadjoinE = $true) & (quantDeMorgan1 = $true) & (emptyinunitempty = $true) & (quantDeMorgan3 = $true) & (setadjoinIR = $true) & (eqimpsubset1 = $true) & (exuE1 = $true) & (dsetconstrEL = $true) & (quantDeMorgan2 = $true) & (notdallE = $true) & (emptyinPowerset = $true) & (setadjoinIL = $true) & (eqimpsubset2 = $true) & (in__Cong = $true) & (subsetRefl = $true) & (setadjoin__Cong = $true) & (emptysetAx = $true) & (setadjoinOr = $true) & (exuI2 = $true) & (emptysetE = $true) & (descr__Cong = $true) & (setadjoinAx = $true) & (prop2setE = $true) & (notinemptyset = $true) & (exuI1 = $true) & (vacuousDall = $true) & (upairsetE = $true) & (exuE3e = $true) & (notsubsetI = $true) & (dsetconstr__Cong = $true) & (nonemptyI = $true)),
% 198.78/29.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK166,sK167,sK168])],[f346,f670])).
% 198.78/29.99 thf(f670,plain,(
% 198.78/29.99 ? [X0 : $i,X1 : $i,X2 : $i] : (((subset @ X1 @ X0) != $true) & ((subset @ X2 @ X0) = $true) & ((subset @ X1 @ X2) = $true)) => (((subset @ sK167 @ sK166) != $true) & ((subset @ sK168 @ sK166) = $true) & ((subset @ sK167 @ sK168) = $true))),
% 198.78/29.99 introduced(definition,[],[choice_axiom])).
% 198.78/29.99 thf(f346,plain,(
% 198.78/29.99 (noeltsimpempty = $true) & (emptysetsubset = $true) & (inCongP = $true) & (setoftrueEq = $true) & (subPowSU = $true) & (emptyset__Cong = $true) & (descrp = $true) & (omegaIndAx = $true) & (setext = $true) & (exuI3 = $true) & (powersetAx = $true) & (setunionI = $true) & (subsetE2 = $true) & (wellorderingAx = $true) & (exuE3u = $true) & (prop2set2propI = $true) & (emptyE1 = $true) & (powersetI = $true) & (notdexE = $true) & (exuE2 = $true) & (setunion__Cong = $true) & (upairsetIR = $true) & (replAx = $true) & (omega__Cong = $true) & (dsetconstrI = $true) & (prop2setI = $true) & (quantDeMorgan4 = $true) & (powerset__Cong = $true) & (subsetE = $true) & (exu__Cong = $true) & (powersetE = $true) & (notinsingleton = $true) & (foundationAx = $true) & (notequalI2 = $true) & (nonemptyImpWitness = $true) & (upairsetIL = $true) & (setbeta = $true) & (emptyI = $true) & (omega0Ax = $true) & (nonemptyE1 = $true) & (subsetI2 = $true) & (setextAx = $true) & (eqinunit = $true) & (setunionAx = $true) & (notequalI1 = $true) & (uniqinunit = $true) & (exuEu = $true) & ? [X0 : $i,X1 : $i,X2 : $i] : (((subset @ X1 @ X0) != $true) & ((subset @ X2 @ X0) = $true) & ((subset @ X1 @ X2) = $true)) & (setunionE = $true) & (emptysetimpfalse = $true) & (dsetconstrER = $true) & (subsetI1 = $true) & (singletonsswitch = $true) & (omegaSAx = $true) & (nonemptyI1 = $true) & (emptyInPowerset = $true) & (setadjoinE = $true) & (quantDeMorgan1 = $true) & (emptyinunitempty = $true) & (quantDeMorgan3 = $true) & (setadjoinIR = $true) & (eqimpsubset1 = $true) & (exuE1 = $true) & (dsetconstrEL = $true) & (quantDeMorgan2 = $true) & (notdallE = $true) & (emptyinPowerset = $true) & (setadjoinIL = $true) & (eqimpsubset2 = $true) & (in__Cong = $true) & (subsetRefl = $true) & (setadjoin__Cong = $true) & (emptysetAx = $true) & (setadjoinOr = $true) & (exuI2 = $true) & (emptysetE = $true) & (descr__Cong = $true) & (setadjoinAx = $true) & (prop2setE = $true) & (notinemptyset = $true) & (exuI1 = $true) & (vacuousDall = $true) & (upairsetE = $true) & (exuE3e = $true) & (notsubsetI = $true) & (dsetconstr__Cong = $true) & (nonemptyI = $true)),
% 198.78/29.99 inference(flattening,[status(thm)],[f345])).
% 198.78/29.99 thf(f345,plain,(
% 198.78/29.99 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i,X2 : $i] : ((((subset @ X1 @ X0) != $true) & ((subset @ X2 @ X0) = $true)) & ((subset @ X1 @ X2) = $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)),
% 198.78/29.99 inference(ennf_transformation,[status(thm)],[f221])).
% 198.78/29.99 thf(f221,plain,(
% 198.78/29.99 ~((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) => ! [X0 : $i,X1 : $i,X2 : $i] : (((subset @ X1 @ X2) = $true) => (((subset @ X2 @ X0) = $true) => ((subset @ X1 @ X0) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 198.78/29.99 inference(fool_elimination,[status(thm)],[f220])).
% 198.78/29.99 thf(f220,plain,(
% 198.78/29.99 ~(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 => ! [X0 : $i,X1 : $i,X2 : $i] : ((subset @ X1 @ X2) => ((subset @ X2 @ X0) => (subset @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 198.78/29.99 inference(rectify,[status(thm)],[f90])).
% 198.78/29.99 thf(f90,negated_conjecture,(
% 198.78/29.99 ~(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 => ! [X5 : $i,X3 : $i,X4 : $i] : ((subset @ X3 @ X4) => ((subset @ X4 @ X5) => (subset @ X3 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 198.78/29.99 inference(negated_conjecture,[status(cth)],[f89])).
% 198.78/29.99 thf(f89,conjecture,(
% 198.78/29.99 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 => ! [X5 : $i,X3 : $i,X4 : $i] : ((subset @ X3 @ X4) => ((subset @ X4 @ X5) => (subset @ X3 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 198.78/29.99 file('/export/starexec/sandbox2/tmp/tmp.jziO1gB32n/DTF2THF_10864.p',subsetTrans)).
% 198.78/29.99 thf(f22291,plain,(
% 198.78/29.99 ((subset @ sK167 @ sK166) = $true)),
% 198.78/29.99 inference(trivial_inequality_removal,[status(thm)],[f22273])).
% 198.78/29.99 thf(f22273,plain,(
% 198.78/29.99 ((subset @ sK167 @ sK166) = $true) | ($true != $true)),
% 198.78/29.99 inference(superposition,[status(thm)],[f1788,f22052])).
% 198.78/29.99 thf(f22052,plain,(
% 198.78/29.99 ((in @ (sK37 @ sK167 @ sK166) @ sK166) = $true)),
% 198.78/29.99 inference(trivial_inequality_removal,[status(thm)],[f22026])).
% 198.78/29.99 thf(f22026,plain,(
% 198.78/29.99 ((in @ (sK37 @ sK167 @ sK166) @ sK166) = $true) | ($true != $true)),
% 198.78/29.99 inference(superposition,[status(thm)],[f21525,f21553])).
% 198.78/29.99 thf(f21553,plain,(
% 198.78/29.99 ((in @ (sK37 @ sK167 @ sK166) @ sK168) = $true)),
% 198.78/29.99 inference(trivial_inequality_removal,[status(thm)],[f21528])).
% 198.78/29.99 thf(f21528,plain,(
% 198.78/29.99 ($true != $true) | ((in @ (sK37 @ sK167 @ sK166) @ sK168) = $true)),
% 198.78/29.99 inference(superposition,[status(thm)],[f21523,f3742])).
% 198.78/29.99 thf(f3742,plain,(
% 198.78/29.99 ((in @ (sK37 @ sK167 @ sK166) @ sK167) = $true)),
% 198.78/29.99 inference(trivial_inequality_removal,[status(thm)],[f3735])).
% 198.78/29.99 thf(f3735,plain,(
% 198.78/29.99 ((in @ (sK37 @ sK167 @ sK166) @ sK167) = $true) | ($true != $true)),
% 198.78/29.99 inference(superposition,[status(thm)],[f1091,f2084])).
% 198.78/29.99 thf(f2084,plain,(
% 198.78/29.99 ( ! [X3 : $i,X4 : $i] : (((subset @ X4 @ X3) = $true) | ((in @ (sK37 @ X4 @ X3) @ X4) = $true)) )),
% 198.78/29.99 inference(trivial_inequality_removal,[status(thm)],[f1311])).
% 198.78/29.99 thf(f1311,plain,(
% 198.78/29.99 ( ! [X3 : $i,X4 : $i] : (((subset @ X4 @ X3) = $true) | ((in @ (sK37 @ X4 @ X3) @ X4) = $true) | ($true != $true)) )),
% 198.78/29.99 inference(definition_unfolding,[status(thm)],[f859,f1098])).
% 198.78/29.99 thf(f1098,plain,(
% 198.78/29.99 (subsetI2 = $true)),
% 198.78/29.99 inference(cnf_transformation,[status(thm)],[f671])).
% 198.78/29.99 thf(f859,plain,(
% 198.78/29.99 ( ! [X3 : $i,X4 : $i] : (((in @ (sK37 @ X4 @ X3) @ X4) = $true) | ((subset @ X4 @ X3) = $true) | (subsetI2 != $true)) )),
% 198.78/29.99 inference(cnf_transformation,[status(thm)],[f441])).
% 198.78/29.99 thf(f441,plain,(
% 198.78/29.99 ((subsetI2 = $true) | (! [X2 : $i] : (((in @ X2 @ sK35) = $true) | ($true != (in @ X2 @ sK36))) & ((subset @ sK36 @ sK35) != $true))) & (! [X3 : $i,X4 : $i] : ((((in @ (sK37 @ X4 @ X3) @ X3) != $true) & ((in @ (sK37 @ X4 @ X3) @ X4) = $true)) | ((subset @ X4 @ X3) = $true)) | (subsetI2 != $true))),
% 198.78/29.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36,sK37])],[f438,f440,f439])).
% 198.78/29.99 thf(f439,plain,(
% 198.78/29.99 ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true)) & ((subset @ X1 @ X0) != $true)) => (! [X2 : $i] : (((in @ X2 @ sK35) = $true) | ($true != (in @ X2 @ sK36))) & ((subset @ sK36 @ sK35) != $true))),
% 198.78/29.99 introduced(definition,[],[choice_axiom])).
% 198.78/29.99 thf(f440,plain,(
% 198.78/29.99 ! [X3 : $i,X4 : $i] : (? [X5 : $i] : (((in @ X5 @ X3) != $true) & ((in @ X5 @ X4) = $true)) => (((in @ (sK37 @ X4 @ X3) @ X3) != $true) & ((in @ (sK37 @ X4 @ X3) @ X4) = $true)))),
% 198.78/29.99 introduced(definition,[],[choice_axiom])).
% 198.78/29.99 thf(f438,plain,(
% 198.78/29.99 ((subsetI2 = $true) | ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true)) & ((subset @ X1 @ X0) != $true))) & (! [X3 : $i,X4 : $i] : (? [X5 : $i] : (((in @ X5 @ X3) != $true) & ((in @ X5 @ X4) = $true)) | ((subset @ X4 @ X3) = $true)) | (subsetI2 != $true))),
% 198.78/29.99 inference(rectify,[status(thm)],[f437])).
% 198.78/29.99 thf(f437,plain,(
% 198.78/29.99 ((subsetI2 = $true) | ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ X1) != $true)) & ((subset @ X1 @ X0) != $true))) & (! [X0 : $i,X1 : $i] : (? [X2 : $i] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ X1) = $true)) | ((subset @ X1 @ X0) = $true)) | (subsetI2 != $true))),
% 198.78/29.99 inference(nnf_transformation,[status(thm)],[f365])).
% 198.78/29.99 thf(f365,plain,(
% 198.78/29.99 (subsetI2 = $true) <=> ! [X0 : $i,X1 : $i] : (? [X2 : $i] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ X1) = $true)) | ((subset @ X1 @ X0) = $true))),
% 198.78/29.99 inference(ennf_transformation,[status(thm)],[f227])).
% 198.78/29.99 thf(f227,plain,(
% 198.78/29.99 ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((in @ X2 @ X1) = $true) => ((in @ X2 @ X0) = $true)) => ((subset @ X1 @ X0) = $true)) <=> (subsetI2 = $true)),
% 198.78/29.99 inference(fool_elimination,[status(thm)],[f226])).
% 198.78/29.99 thf(f226,plain,(
% 198.78/29.99 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (subset @ X1 @ X0)) = subsetI2)),
% 198.78/29.99 inference(rectify,[status(thm)],[f81])).
% 198.78/29.99 thf(f81,axiom,(
% 198.78/29.99 (! [X4 : $i,X3 : $i] : (! [X1 : $i] : ((in @ X1 @ X3) => (in @ X1 @ X4)) => (subset @ X3 @ X4)) = subsetI2)),
% 198.78/29.99 file('/export/starexec/sandbox2/tmp/tmp.jziO1gB32n/DTF2THF_10864.p',subsetI2)).
% 198.78/29.99 thf(f21523,plain,(
% 198.78/29.99 ( ! [X0 : $i] : (((in @ X0 @ sK167) != $true) | ((in @ X0 @ sK168) = $true)) )),
% 198.78/29.99 inference(trivial_inequality_removal,[status(thm)],[f21511])).
% 198.78/29.99 thf(f21511,plain,(
% 198.78/29.99 ( ! [X0 : $i] : (((in @ X0 @ sK167) != $true) | ($true != $true) | ((in @ X0 @ sK168) = $true)) )),
% 198.78/29.99 inference(superposition,[status(thm)],[f2013,f1089])).
% 198.78/29.99 thf(f1089,plain,(
% 198.78/29.99 ((subset @ sK167 @ sK168) = $true)),
% 198.78/29.99 inference(cnf_transformation,[status(thm)],[f671])).
% 198.78/29.99 thf(f2013,plain,(
% 198.78/29.99 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true)) )),
% 198.78/29.99 inference(trivial_inequality_removal,[status(thm)],[f1383])).
% 198.78/29.99 thf(f1383,plain,(
% 198.78/29.99 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true) | ($true != $true)) )),
% 198.78/29.99 inference(definition_unfolding,[status(thm)],[f939,f1052])).
% 198.78/29.99 thf(f1052,plain,(
% 198.78/29.99 (notsubsetI = $true)),
% 198.78/29.99 inference(cnf_transformation,[status(thm)],[f671])).
% 198.78/29.99 thf(f939,plain,(
% 198.78/29.99 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true) | (notsubsetI != $true)) )),
% 198.78/29.99 inference(cnf_transformation,[status(thm)],[f537])).
% 198.78/29.99 thf(f537,plain,(
% 198.78/29.99 (! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true)) | (notsubsetI != $true)) & ((notsubsetI = $true) | (((in @ sK92 @ sK90) = $true) & ((subset @ sK90 @ sK91) = $true) & ((in @ sK92 @ sK91) != $true)))),
% 198.78/29.99 inference(skolemisation,[status(esa),new_symbols(skolem,[sK90,sK91,sK92])],[f535,f536])).
% 198.78/29.99 thf(f536,plain,(
% 198.78/29.99 ? [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ X3) = $true) & ((subset @ X3 @ X4) = $true) & ((in @ X5 @ X4) != $true)) => (((in @ sK92 @ sK90) = $true) & ((subset @ sK90 @ sK91) = $true) & ((in @ sK92 @ sK91) != $true))),
% 198.78/29.99 introduced(definition,[],[choice_axiom])).
% 198.78/29.99 thf(f535,plain,(
% 198.78/29.99 (! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true)) | (notsubsetI != $true)) & ((notsubsetI = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ X3) = $true) & ((subset @ X3 @ X4) = $true) & ((in @ X5 @ X4) != $true)))),
% 198.78/29.99 inference(rectify,[status(thm)],[f534])).
% 198.78/29.99 thf(f534,plain,(
% 198.78/29.99 (! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true)) | (notsubsetI != $true)) & ((notsubsetI = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ X0) = $true) & ((subset @ X0 @ X1) = $true) & ((in @ X2 @ X1) != $true)))),
% 198.78/29.99 inference(nnf_transformation,[status(thm)],[f296])).
% 198.78/29.99 thf(f296,plain,(
% 198.78/29.99 ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ X0) != $true) | ((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true)) <=> (notsubsetI = $true)),
% 198.78/29.99 inference(flattening,[status(thm)],[f295])).
% 198.78/29.99 thf(f295,plain,(
% 198.78/29.99 (notsubsetI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : ((((subset @ X0 @ X1) != $true) | ((in @ X2 @ X1) = $true)) | ((in @ X2 @ X0) != $true))),
% 198.78/29.99 inference(ennf_transformation,[status(thm)],[f271])).
% 198.78/29.99 thf(f271,plain,(
% 198.78/29.99 (notsubsetI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ X0) = $true) => (((in @ X2 @ X1) != $true) => ((subset @ X0 @ X1) != $true)))),
% 198.78/29.99 inference(flattening,[status(thm)],[f154])).
% 198.78/29.99 thf(f154,plain,(
% 198.78/29.99 (notsubsetI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ X0) = $true) => (~((in @ X2 @ X1) = $true) => ~((subset @ X0 @ X1) = $true)))),
% 198.78/29.99 inference(fool_elimination,[status(thm)],[f153])).
% 198.78/29.99 thf(f153,plain,(
% 198.78/29.99 (notsubsetI = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X0) => (~(in @ X2 @ X1) => ~(subset @ X0 @ X1))))),
% 198.78/29.99 inference(rectify,[status(thm)],[f85])).
% 198.78/29.99 thf(f85,axiom,(
% 198.78/29.99 (notsubsetI = ! [X3 : $i,X4 : $i,X1 : $i] : ((in @ X1 @ X3) => (~(in @ X1 @ X4) => ~(subset @ X3 @ X4))))),
% 198.78/29.99 file('/export/starexec/sandbox2/tmp/tmp.jziO1gB32n/DTF2THF_10864.p',notsubsetI)).
% 198.78/29.99 thf(f21525,plain,(
% 198.78/29.99 ( ! [X0 : $i] : (((in @ X0 @ sK168) != $true) | ((in @ X0 @ sK166) = $true)) )),
% 198.78/29.99 inference(trivial_inequality_removal,[status(thm)],[f21510])).
% 198.78/29.99 thf(f21510,plain,(
% 198.78/29.99 ( ! [X0 : $i] : (($true != $true) | ((in @ X0 @ sK168) != $true) | ((in @ X0 @ sK166) = $true)) )),
% 198.78/29.99 inference(superposition,[status(thm)],[f2013,f1090])).
% 198.78/29.99 thf(f1090,plain,(
% 198.78/29.99 ((subset @ sK168 @ sK166) = $true)),
% 198.78/29.99 inference(cnf_transformation,[status(thm)],[f671])).
% 198.78/29.99 thf(f1788,plain,(
% 198.78/29.99 ( ! [X3 : $i,X4 : $i] : (((in @ (sK37 @ X4 @ X3) @ X3) != $true) | ((subset @ X4 @ X3) = $true)) )),
% 198.78/29.99 inference(trivial_inequality_removal,[status(thm)],[f1310])).
% 198.78/29.99 thf(f1310,plain,(
% 198.78/29.99 ( ! [X3 : $i,X4 : $i] : (($true != $true) | ((subset @ X4 @ X3) = $true) | ((in @ (sK37 @ X4 @ X3) @ X3) != $true)) )),
% 198.78/29.99 inference(definition_unfolding,[status(thm)],[f860,f1098])).
% 198.78/29.99 thf(f860,plain,(
% 198.78/29.99 ( ! [X3 : $i,X4 : $i] : (((in @ (sK37 @ X4 @ X3) @ X3) != $true) | ((subset @ X4 @ X3) = $true) | (subsetI2 != $true)) )),
% 198.78/29.99 inference(cnf_transformation,[status(thm)],[f441])).
% 198.78/29.99 % SZS output end Proof for DTF2THF_10864
% 198.78/29.99 % (11474)------------------------------
% 198.78/29.99 % (11474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 198.78/29.99 % (11474)Termination reason: Refutation
% 198.78/29.99
% 198.78/29.99 % (11474)Memory used [KB]: 15991
% 198.78/29.99 % (11474)Time elapsed: 2.687 s
% 198.78/29.99 % (11474)Instructions burned: 8815 (million)
% 198.78/29.99 % (11474)------------------------------
% 198.78/29.99 % (11474)------------------------------
% 198.78/29.99 % (10962)Success in time 28.39 s
%------------------------------------------------------------------------------