%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU590^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 09:35:27 AM UTC 2026
% Result : Theorem 244.27s 36.05s
% Output : Refutation 244.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 2585 ( 697 equ; 0 cnn)
% Maximal formula atoms : 109 ( 32 avg)
% Number of connectives : 1709 ( 143 ~; 102 |; 381 &; 604 @)
% ( 13 <=>; 466 =>; 0 <=; 0 <~>)
% Maximal formula depth : 116 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 237 ( 234 usr; 122 con; 0-4 aty)
% Number of variables : 179 ( 0 ^; 133 !; 46 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_153,type,
sP17: ( $i > $i > $o ) > $i > $o ).
thf(func_def_154,type,
sP18: $i > $i > $i > $o ).
thf(func_def_155,type,
sP19: $i > $i > $o ).
thf(func_def_156,type,
sP20: $i > $o ).
thf(func_def_157,type,
sP21: $i > $i > $o ).
thf(func_def_158,type,
sP22: $i > $i > $o ).
thf(func_def_159,type,
sP23: $i > $i > $o ).
thf(func_def_165,type,
sK29: $i > $i > $i ).
thf(func_def_176,type,
sK40: $i > $i ).
thf(func_def_177,type,
sK41: $i > $o ).
thf(func_def_179,type,
sK43: $i > ( $i > $o ) > $i ).
thf(func_def_183,type,
sK47: $i > $i ).
thf(func_def_191,type,
sK55: $i > $o ).
thf(func_def_193,type,
sK57: $i > ( $i > $o ) > $i ).
thf(func_def_196,type,
sK60: $i > $i ).
thf(func_def_203,type,
sK67: $i > $o ).
thf(func_def_206,type,
sK70: $i > $o ).
thf(func_def_209,type,
sK73: $i > ( $i > $o ) > $i ).
thf(func_def_214,type,
sK78: $i > $i > $i ).
thf(func_def_218,type,
sK82: $o > $i > $i > $i ).
thf(func_def_227,type,
sK91: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_228,type,
sK92: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_229,type,
sK93: $i > $o ).
thf(func_def_230,type,
sK94: $i > $o ).
thf(func_def_238,type,
sK102: $i > $i ).
thf(func_def_244,type,
sK108: $i > $o ).
thf(func_def_245,type,
sK109: $i > $i > $i ).
thf(func_def_249,type,
sK113: $i > $o ).
thf(func_def_252,type,
sK116: $i > ( $i > $o ) > $i ).
thf(func_def_257,type,
sK121: $i > $i ).
thf(func_def_269,type,
sK133: $i > $o ).
thf(func_def_270,type,
sK134: $i > $o ).
thf(func_def_271,type,
sK135: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_272,type,
sK136: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_279,type,
sK143: $i > $o ).
thf(func_def_282,type,
sK146: $i > $o ).
thf(func_def_283,type,
sK147: $i > $o ).
thf(func_def_284,type,
sK148: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_285,type,
sK149: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_290,type,
sK154: $i > $o ).
thf(func_def_291,type,
sK155: $i > $i ).
thf(func_def_292,type,
sK156: ( $i > $o ) > $i ).
thf(func_def_297,type,
sK161: $i > $o ).
thf(func_def_300,type,
sK164: $i > ( $i > $o ) > $i ).
thf(func_def_301,type,
sK165: $i > $o ).
thf(func_def_304,type,
sK168: $i > $i > $i ).
thf(func_def_319,type,
sK183: $i > $i ).
thf(func_def_320,type,
sK184: $i > $i ).
thf(func_def_323,type,
sK187: $i > $o ).
thf(func_def_330,type,
sK194: $i > $o ).
thf(func_def_332,type,
sK196: ( $i > $o ) > $i > $i ).
thf(func_def_340,type,
sK204: $i > $o ).
thf(func_def_341,type,
sK205: $i > $i ).
thf(func_def_342,type,
sK206: ( $i > $o ) > $i ).
thf(func_def_353,type,
sK217: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_354,type,
sK218: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_355,type,
sK219: ( $i > $i > $o ) > $i > $i ).
thf(func_def_356,type,
sK220: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_358,type,
sK222: $i > $i > $o ).
thf(func_def_359,type,
sK223: ( $i > $i > $o ) > $i > $i ).
thf(func_def_362,type,
sK226: $i > $i > $i ).
thf(func_def_363,type,
sK227: $i > $i > $i ).
thf(func_def_364,type,
sK228: $i > $i > $i ).
thf(func_def_365,type,
sK229: $i > $i > $i ).
thf(func_def_366,type,
sK230: $i > $i > $i ).
thf(func_def_367,type,
sK231: $i > $i > $i ).
thf(func_def_368,type,
sK232: $i > $i > $i ).
thf(func_def_369,type,
sK233: $i > $i > $i > $i ).
thf(func_def_370,type,
sK234: $i > $i ).
thf(func_def_371,type,
sK235: $i > $i ).
thf(func_def_372,type,
sK236: $i > $i ).
thf(func_def_373,type,
sK237: $i > $i ).
thf(func_def_374,type,
sK238: $i > $i > $i ).
thf(func_def_375,type,
sK239: $i > $i > $i ).
thf(func_def_376,type,
sK240: $i > $i > $i ).
thf(func_def_377,type,
sK241: $i > $i > $i > $i ).
thf(func_def_378,type,
sK242: $i > $i > $i > $i ).
thf(func_def_380,type,
sK244: $i > $i ).
thf(func_def_382,type,
sK246: $i > $o ).
thf(func_def_385,type,
sK249: $i > $o ).
thf(func_def_387,type,
sK251: ( $i > $o ) > $i > $i ).
thf(func_def_400,type,
sK264: $i > $i > $i ).
thf(func_def_403,type,
sK267: $i > $i > $i ).
thf(func_def_404,type,
sK268: $i > $o ).
thf(func_def_406,type,
sK270: ( $i > $o ) > $i ).
thf(func_def_407,type,
sK271: ( $i > $o ) > $i ).
thf(func_def_410,type,
sK274: $i > $i > $i ).
thf(func_def_411,type,
sK275: $i > $i > $i ).
thf(func_def_413,type,
sK277: $i > $o ).
thf(func_def_415,type,
sK279: ( $i > $o ) > $i ).
thf(func_def_416,type,
sK280: $i > $o ).
thf(func_def_418,type,
sK282: $i > $o ).
thf(func_def_426,type,
sK290: $i > $o ).
thf(func_def_428,type,
sK292: $i > $o ).
thf(func_def_432,type,
sK296: $i > $o ).
thf(func_def_450,type,
sK314: $i > $o ).
thf(func_def_451,type,
sK315: $i > $o ).
thf(func_def_454,type,
sK318: $i > ( $i > $o ) > $i ).
thf(func_def_456,type,
ph320:
!>[X0: $tType] : X0 ).
thf(f23028,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f23027,f16746]) ).
thf(f16746,plain,
( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK150 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f16686]) ).
thf(f16686,plain,
( ( $true != $true )
| ( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK150 )
= $true ) ),
inference(superposition,[status(thm)],[f2174,f2242]) ).
thf(f2242,plain,
( $true
= ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK152 ) ),
inference(subsumption_resolution,[status(thm)],[f2232,f1279]) ).
thf(f1279,plain,
subsetI2 = $true,
inference(cnf_transformation,[status(thm)],[f746]) ).
thf(f746,plain,
( ( subsetRefl = $true )
& ( exuE3e = $true )
& ( quantDeMorgan3 = $true )
& ( vacuousDall = $true )
& ( dsetconstr__Cong = $true )
& ( powersetE1 = $true )
& ( sepSubset = $true )
& ( subsetE2 = $true )
& ( replAx = $true )
& ( exuI2 = $true )
& ( setunionAx = $true )
& ( exuI1 = $true )
& ( emptyE1 = $true )
& ( quantDeMorgan2 = $true )
& ( binunionIL = $true )
& ( descr__Cong = $true )
& ( emptyI = $true )
& ( exuE1 = $true )
& ( exu__Cong = $true )
& ( prop2setE = $true )
& ( exuI3 = $true )
& ( exuEu = $true )
& ( eqimpsubset2 = $true )
& ( uniqinunit = $true )
& ( setextAx = $true )
& ( emptysetsubset = $true )
& ( binunionE = $true )
& ( eqinunit = $true )
& ( subsetemptysetimpeq = $true )
& ( nonemptyImpWitness = $true )
& ( setunion__Cong = $true )
& ( setadjoinSub = $true )
& ( omega__Cong = $true )
& ( emptyinPowerset = $true )
& ( binunionIR = $true )
& ( setextsub = $true )
& ( nonemptyI = $true )
& ( notdallE = $true )
& ( notinemptyset = $true )
& ( emptysetAx = $true )
& ( exuE3u = $true )
& ( singletonsswitch = $true )
& ( setadjoinSub2 = $true )
& ( upairset2IR = $true )
& ( dsetconstrEL = $true )
& ( setadjoinE = $true )
& ( setadjoinOr = $true )
& ( omegaSAx = $true )
& ( powersetE = $true )
& ( setbeta = $true )
& ( emptyinunitempty = $true )
& ( notsubsetI = $true )
& ( noeltsimpempty = $true )
& ( setunionI = $true )
& ( subPowSU = $true )
& ( emptyset__Cong = $true )
& ( quantDeMorgan4 = $true )
& ( powersetI = $true )
& ( omega0Ax = $true )
& ( subsetTrans = $true )
& ( subset2powerset = $true )
& ( powersetI1 = $true )
& ( binunionLsub = $true )
& ( setadjoin__Cong = $true )
& ( eqimpsubset1 = $true )
& ( setadjoinAx = $true )
& ( wellorderingAx = $true )
& ( powersetAx = $true )
& ( ( subset @ sK152 @ sK150 )
= $true )
& ( ( subset @ sK152 @ ( binintersect @ sK151 @ sK150 ) )
!= $true )
& ( $true
= ( subset @ sK152 @ sK151 ) )
& ( nonemptyE1 = $true )
& ( setadjoinIL = $true )
& ( upairsetE = $true )
& ( in__Cong = $true )
& ( upairsetIR = $true )
& ( setoftrueEq = $true )
& ( exuE2 = $true )
& ( subsetI2 = $true )
& ( upairsetIL = $true )
& ( omegaIndAx = $true )
& ( subsetI1 = $true )
& ( prop2set2propI = $true )
& ( powerset__Cong = $true )
& ( dsetconstrER = $true )
& ( binunionRsub = $true )
& ( notdexE = $true )
& ( sepInPowerset = $true )
& ( notequalI2 = $true )
& ( setadjoinIR = $true )
& ( notequalI1 = $true )
& ( emptysetE = $true )
& ( setunionE = $true )
& ( notinsingleton = $true )
& ( powersetsubset = $true )
& ( emptyInPowerset = $true )
& ( binintersectI = $true )
& ( inPowerset = $true )
& ( foundationAx = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( nonemptyI1 = $true )
& ( prop2setI = $true )
& ( binunionEcases = $true )
& ( setext = $true )
& ( quantDeMorgan1 = $true )
& ( inCongP = $true )
& ( subsetE = $true )
& ( emptysetimpfalse = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK150,sK151,sK152])],[f462,f745]) ).
thf(f745,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( subset @ X2 @ X0 ) )
& ( $true
!= ( subset @ X2 @ ( binintersect @ X1 @ X0 ) ) )
& ( $true
= ( subset @ X2 @ X1 ) ) )
=> ( ( ( subset @ sK152 @ sK150 )
= $true )
& ( ( subset @ sK152 @ ( binintersect @ sK151 @ sK150 ) )
!= $true )
& ( $true
= ( subset @ sK152 @ sK151 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f462,plain,
( ( subsetRefl = $true )
& ( exuE3e = $true )
& ( quantDeMorgan3 = $true )
& ( vacuousDall = $true )
& ( dsetconstr__Cong = $true )
& ( powersetE1 = $true )
& ( sepSubset = $true )
& ( subsetE2 = $true )
& ( replAx = $true )
& ( exuI2 = $true )
& ( setunionAx = $true )
& ( exuI1 = $true )
& ( emptyE1 = $true )
& ( quantDeMorgan2 = $true )
& ( binunionIL = $true )
& ( descr__Cong = $true )
& ( emptyI = $true )
& ( exuE1 = $true )
& ( exu__Cong = $true )
& ( prop2setE = $true )
& ( exuI3 = $true )
& ( exuEu = $true )
& ( eqimpsubset2 = $true )
& ( uniqinunit = $true )
& ( setextAx = $true )
& ( emptysetsubset = $true )
& ( binunionE = $true )
& ( eqinunit = $true )
& ( subsetemptysetimpeq = $true )
& ( nonemptyImpWitness = $true )
& ( setunion__Cong = $true )
& ( setadjoinSub = $true )
& ( omega__Cong = $true )
& ( emptyinPowerset = $true )
& ( binunionIR = $true )
& ( setextsub = $true )
& ( nonemptyI = $true )
& ( notdallE = $true )
& ( notinemptyset = $true )
& ( emptysetAx = $true )
& ( exuE3u = $true )
& ( singletonsswitch = $true )
& ( setadjoinSub2 = $true )
& ( upairset2IR = $true )
& ( dsetconstrEL = $true )
& ( setadjoinE = $true )
& ( setadjoinOr = $true )
& ( omegaSAx = $true )
& ( powersetE = $true )
& ( setbeta = $true )
& ( emptyinunitempty = $true )
& ( notsubsetI = $true )
& ( noeltsimpempty = $true )
& ( setunionI = $true )
& ( subPowSU = $true )
& ( emptyset__Cong = $true )
& ( quantDeMorgan4 = $true )
& ( powersetI = $true )
& ( omega0Ax = $true )
& ( subsetTrans = $true )
& ( subset2powerset = $true )
& ( powersetI1 = $true )
& ( binunionLsub = $true )
& ( setadjoin__Cong = $true )
& ( eqimpsubset1 = $true )
& ( setadjoinAx = $true )
& ( wellorderingAx = $true )
& ( powersetAx = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( subset @ X2 @ X0 ) )
& ( $true
!= ( subset @ X2 @ ( binintersect @ X1 @ X0 ) ) )
& ( $true
= ( subset @ X2 @ X1 ) ) )
& ( nonemptyE1 = $true )
& ( setadjoinIL = $true )
& ( upairsetE = $true )
& ( in__Cong = $true )
& ( upairsetIR = $true )
& ( setoftrueEq = $true )
& ( exuE2 = $true )
& ( subsetI2 = $true )
& ( upairsetIL = $true )
& ( omegaIndAx = $true )
& ( subsetI1 = $true )
& ( prop2set2propI = $true )
& ( powerset__Cong = $true )
& ( dsetconstrER = $true )
& ( binunionRsub = $true )
& ( notdexE = $true )
& ( sepInPowerset = $true )
& ( notequalI2 = $true )
& ( setadjoinIR = $true )
& ( notequalI1 = $true )
& ( emptysetE = $true )
& ( setunionE = $true )
& ( notinsingleton = $true )
& ( powersetsubset = $true )
& ( emptyInPowerset = $true )
& ( binintersectI = $true )
& ( inPowerset = $true )
& ( foundationAx = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( nonemptyI1 = $true )
& ( prop2setI = $true )
& ( binunionEcases = $true )
& ( setext = $true )
& ( quantDeMorgan1 = $true )
& ( inCongP = $true )
& ( subsetE = $true )
& ( emptysetimpfalse = $true ) ),
inference(flattening,[status(thm)],[f461]) ).
thf(f461,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( subset @ X2 @ ( binintersect @ X1 @ X0 ) ) )
& ( $true
= ( subset @ X2 @ X0 ) )
& ( $true
= ( subset @ X2 @ X1 ) ) )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[status(thm)],[f204]) ).
thf(f204,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( subset @ X2 @ X1 ) )
=> ( ( $true
= ( subset @ X2 @ X0 ) )
=> ( $true
= ( subset @ X2 @ ( binintersect @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f203]) ).
thf(f203,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ X1 )
=> ( ( subset @ X2 @ X0 )
=> ( subset @ X2 @ ( binintersect @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f111]) ).
thf(f111,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ! [X4: $i,X3: $i,X5: $i] :
( ( subset @ X5 @ X3 )
=> ( ( subset @ X5 @ X4 )
=> ( subset @ X5 @ ( binintersect @ X3 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f110]) ).
thf(f110,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ! [X4: $i,X3: $i,X5: $i] :
( ( subset @ X5 @ X3 )
=> ( ( subset @ X5 @ X4 )
=> ( subset @ X5 @ ( binintersect @ X3 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',binintersectSubset5) ).
thf(f2232,plain,
( ( subsetI2 != $true )
| ( $true
= ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK152 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f2205]) ).
thf(f2205,plain,
( ( $true
= ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK152 ) )
| ( subsetI2 != $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1288,f1180]) ).
thf(f1180,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ ( sK109 @ X1 @ X0 ) @ X1 ) )
| ( subsetI2 != $true )
| ( ( subset @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f673]) ).
thf(f673,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( $true
= ( in @ ( sK109 @ X1 @ X0 ) @ X1 ) )
& ( ( in @ ( sK109 @ X1 @ X0 ) @ X0 )
!= $true ) )
| ( ( subset @ X1 @ X0 )
= $true ) )
| ( subsetI2 != $true ) )
& ( ( subsetI2 = $true )
| ( ! [X5: $i] :
( ( $true
!= ( in @ X5 @ sK111 ) )
| ( $true
= ( in @ X5 @ sK110 ) ) )
& ( ( subset @ sK111 @ sK110 )
!= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK109,sK110,sK111])],[f670,f672,f671]) ).
thf(f671,plain,
! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
& ( $true
!= ( in @ X2 @ X0 ) ) )
=> ( ( $true
= ( in @ ( sK109 @ X1 @ X0 ) @ X1 ) )
& ( ( in @ ( sK109 @ X1 @ X0 ) @ X0 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f672,plain,
( ? [X3: $i,X4: $i] :
( ! [X5: $i] :
( ( ( in @ X5 @ X4 )
!= $true )
| ( ( in @ X5 @ X3 )
= $true ) )
& ( ( subset @ X4 @ X3 )
!= $true ) )
=> ( ! [X5: $i] :
( ( $true
!= ( in @ X5 @ sK111 ) )
| ( $true
= ( in @ X5 @ sK110 ) ) )
& ( ( subset @ sK111 @ sK110 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f670,plain,
( ( ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
& ( $true
!= ( in @ X2 @ X0 ) ) )
| ( ( subset @ X1 @ X0 )
= $true ) )
| ( subsetI2 != $true ) )
& ( ( subsetI2 = $true )
| ? [X3: $i,X4: $i] :
( ! [X5: $i] :
( ( ( in @ X5 @ X4 )
!= $true )
| ( ( in @ X5 @ X3 )
= $true ) )
& ( ( subset @ X4 @ X3 )
!= $true ) ) ) ),
inference(rectify,[status(thm)],[f669]) ).
thf(f669,plain,
( ( ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
& ( $true
!= ( in @ X2 @ X0 ) ) )
| ( ( subset @ X1 @ X0 )
= $true ) )
| ( subsetI2 != $true ) )
& ( ( subsetI2 = $true )
| ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( $true
= ( in @ X2 @ X0 ) ) )
& ( ( subset @ X1 @ X0 )
!= $true ) ) ) ),
inference(nnf_transformation,[status(thm)],[f418]) ).
thf(f418,plain,
( ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
& ( $true
!= ( in @ X2 @ X0 ) ) )
| ( ( subset @ X1 @ X0 )
= $true ) )
<=> ( subsetI2 = $true ) ),
inference(ennf_transformation,[status(thm)],[f154]) ).
thf(f154,plain,
( ( subsetI2 = $true )
<=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
=> ( $true
= ( in @ X2 @ X0 ) ) )
=> ( ( subset @ X1 @ X0 )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f153]) ).
thf(f153,plain,
( subsetI2
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( subset @ X1 @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f81]) ).
thf(f81,axiom,
( subsetI2
= ( ! [X4: $i,X3: $i] :
( ! [X1: $i] :
( ( in @ X1 @ X3 )
=> ( in @ X1 @ X4 ) )
=> ( subset @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',subsetI2) ).
thf(f1288,plain,
( ( subset @ sK152 @ ( binintersect @ sK151 @ sK150 ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f746]) ).
thf(f2174,plain,
! [X0: $i] :
( ( $true
!= ( in @ X0 @ sK152 ) )
| ( ( in @ X0 @ sK150 )
= $true ) ),
inference(subsumption_resolution,[status(thm)],[f2161,f1306]) ).
thf(f1306,plain,
notsubsetI = $true,
inference(cnf_transformation,[status(thm)],[f746]) ).
thf(f2161,plain,
! [X0: $i] :
( ( ( in @ X0 @ sK150 )
= $true )
| ( notsubsetI != $true )
| ( $true
!= ( in @ X0 @ sK152 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f2114]) ).
thf(f2114,plain,
! [X0: $i] :
( ( ( in @ X0 @ sK150 )
= $true )
| ( $true
!= ( in @ X0 @ sK152 ) )
| ( $true != $true )
| ( notsubsetI != $true ) ),
inference(superposition,[status(thm)],[f1587,f1289]) ).
thf(f1289,plain,
( ( subset @ sK152 @ sK150 )
= $true ),
inference(cnf_transformation,[status(thm)],[f746]) ).
thf(f1587,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( subset @ X0 @ X2 )
!= $true )
| ( notsubsetI != $true )
| ( $true
!= ( in @ X1 @ X0 ) )
| ( ( in @ X1 @ X2 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f992]) ).
thf(f992,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
!= $true )
| ( $true
!= ( in @ X1 @ X0 ) )
| ( ( in @ X1 @ X2 )
= $true ) )
| ( notsubsetI != $true ) )
& ( ( notsubsetI = $true )
| ( ( $true
= ( subset @ sK284 @ sK286 ) )
& ( ( in @ sK285 @ sK284 )
= $true )
& ( ( in @ sK285 @ sK286 )
!= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK284,sK285,sK286])],[f990,f991]) ).
thf(f991,plain,
( ? [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ X3 @ X5 )
= $true )
& ( ( in @ X4 @ X3 )
= $true )
& ( ( in @ X4 @ X5 )
!= $true ) )
=> ( ( $true
= ( subset @ sK284 @ sK286 ) )
& ( ( in @ sK285 @ sK284 )
= $true )
& ( ( in @ sK285 @ sK286 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f990,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
!= $true )
| ( $true
!= ( in @ X1 @ X0 ) )
| ( ( in @ X1 @ X2 )
= $true ) )
| ( notsubsetI != $true ) )
& ( ( notsubsetI = $true )
| ? [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ X3 @ X5 )
= $true )
& ( ( in @ X4 @ X3 )
= $true )
& ( ( in @ X4 @ X5 )
!= $true ) ) ) ),
inference(rectify,[status(thm)],[f989]) ).
thf(f989,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
!= $true )
| ( $true
!= ( in @ X1 @ X0 ) )
| ( ( in @ X1 @ X2 )
= $true ) )
| ( notsubsetI != $true ) )
& ( ( notsubsetI = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
= $true )
& ( $true
= ( in @ X1 @ X0 ) )
& ( ( in @ X1 @ X2 )
!= $true ) ) ) ),
inference(nnf_transformation,[status(thm)],[f437]) ).
thf(f437,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
!= $true )
| ( $true
!= ( in @ X1 @ X0 ) )
| ( ( in @ X1 @ X2 )
= $true ) )
<=> ( notsubsetI = $true ) ),
inference(flattening,[status(thm)],[f436]) ).
thf(f436,plain,
( ( notsubsetI = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( subset @ X0 @ X2 )
!= $true )
| ( ( in @ X1 @ X2 )
= $true )
| ( $true
!= ( in @ X1 @ X0 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f349]) ).
thf(f349,plain,
( ( notsubsetI = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X1 @ X0 ) )
=> ( ( ( in @ X1 @ X2 )
!= $true )
=> ( ( subset @ X0 @ X2 )
!= $true ) ) ) ),
inference(flattening,[status(thm)],[f304]) ).
thf(f304,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X1 @ X0 ) )
=> ( ( ( in @ X1 @ X2 )
!= $true )
=> ( ( subset @ X0 @ X2 )
!= $true ) ) )
<=> ( notsubsetI = $true ) ),
inference(fool_elimination,[status(thm)],[f303]) ).
thf(f303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
=> ( ~ ( in @ X1 @ X2 )
=> ~ ( subset @ X0 @ X2 ) ) )
= notsubsetI ),
inference(rectify,[status(thm)],[f85]) ).
thf(f85,axiom,
! [X3: $i,X1: $i,X4: $i] :
( ( ( in @ X1 @ X3 )
=> ( ~ ( in @ X1 @ X4 )
=> ~ ( subset @ X3 @ X4 ) ) )
= notsubsetI ),
file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',notsubsetI) ).
thf(f23027,plain,
( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK150 )
!= $true ),
inference(subsumption_resolution,[status(thm)],[f22989,f16769]) ).
thf(f16769,plain,
( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK151 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f16687]) ).
thf(f16687,plain,
( ( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK151 )
= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f2011,f2242]) ).
thf(f2011,plain,
! [X0: $i] :
( ( $true
!= ( in @ X0 @ sK152 ) )
| ( $true
= ( in @ X0 @ sK151 ) ) ),
inference(subsumption_resolution,[status(thm)],[f2010,f1350]) ).
thf(f1350,plain,
subsetE2 = $true,
inference(cnf_transformation,[status(thm)],[f746]) ).
thf(f2010,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sK151 ) )
| ( $true
!= ( in @ X0 @ sK152 ) )
| ( subsetE2 != $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f1957]) ).
thf(f1957,plain,
! [X0: $i] :
( ( subsetE2 != $true )
| ( $true
!= ( in @ X0 @ sK152 ) )
| ( $true != $true )
| ( $true
= ( in @ X0 @ sK151 ) ) ),
inference(superposition,[status(thm)],[f1617,f1287]) ).
thf(f1287,plain,
( $true
= ( subset @ sK152 @ sK151 ) ),
inference(cnf_transformation,[status(thm)],[f746]) ).
thf(f1617,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( subset @ X5 @ X4 )
!= $true )
| ( ( in @ X3 @ X4 )
= $true )
| ( ( in @ X3 @ X5 )
!= $true )
| ( subsetE2 != $true ) ),
inference(cnf_transformation,[status(thm)],[f1038]) ).
thf(f1038,plain,
( ( ( subsetE2 = $true )
| ( ( ( in @ sK311 @ sK312 )
!= $true )
& ( $true
= ( subset @ sK313 @ sK312 ) )
& ( ( in @ sK311 @ sK313 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ X4 )
= $true )
| ( ( subset @ X5 @ X4 )
!= $true )
| ( ( in @ X3 @ X5 )
!= $true ) )
| ( subsetE2 != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK311,sK312,sK313])],[f1036,f1037]) ).
thf(f1037,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
!= $true )
& ( $true
= ( subset @ X2 @ X1 ) )
& ( ( in @ X0 @ X2 )
= $true ) )
=> ( ( ( in @ sK311 @ sK312 )
!= $true )
& ( $true
= ( subset @ sK313 @ sK312 ) )
& ( ( in @ sK311 @ sK313 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f1036,plain,
( ( ( subsetE2 = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
!= $true )
& ( $true
= ( subset @ X2 @ X1 ) )
& ( ( in @ X0 @ X2 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ X4 )
= $true )
| ( ( subset @ X5 @ X4 )
!= $true )
| ( ( in @ X3 @ X5 )
!= $true ) )
| ( subsetE2 != $true ) ) ),
inference(rectify,[status(thm)],[f1035]) ).
thf(f1035,plain,
( ( ( subsetE2 = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
!= $true )
& ( $true
= ( subset @ X2 @ X1 ) )
& ( ( in @ X0 @ X2 )
= $true ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
= $true )
| ( $true
!= ( subset @ X2 @ X1 ) )
| ( ( in @ X0 @ X2 )
!= $true ) )
| ( subsetE2 != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f421]) ).
thf(f421,plain,
( ( subsetE2 = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
= $true )
| ( $true
!= ( subset @ X2 @ X1 ) )
| ( ( in @ X0 @ X2 )
!= $true ) ) ),
inference(flattening,[status(thm)],[f420]) ).
thf(f420,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ( ( in @ X0 @ X1 )
= $true )
| ( $true
!= ( subset @ X2 @ X1 ) ) )
<=> ( subsetE2 = $true ) ),
inference(ennf_transformation,[status(thm)],[f327]) ).
thf(f327,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( subset @ X2 @ X1 ) )
=> ( ( ( in @ X0 @ X1 )
!= $true )
=> ( ( in @ X0 @ X2 )
!= $true ) ) )
<=> ( subsetE2 = $true ) ),
inference(flattening,[status(thm)],[f114]) ).
thf(f114,plain,
( ( subsetE2 = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( subset @ X2 @ X1 ) )
=> ( ( ( in @ X0 @ X1 )
!= $true )
=> ( ( in @ X0 @ X2 )
!= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f113]) ).
thf(f113,plain,
( subsetE2
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ X1 )
=> ( ~ ( in @ X0 @ X1 )
=> ~ ( in @ X0 @ X2 ) ) ) ) ),
inference(rectify,[status(thm)],[f84]) ).
thf(f84,axiom,
( subsetE2
= ( ! [X1: $i,X4: $i,X3: $i] :
( ( subset @ X3 @ X4 )
=> ( ~ ( in @ X1 @ X4 )
=> ~ ( in @ X1 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',subsetE2) ).
thf(f22989,plain,
( ( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK151 )
!= $true )
| ( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK150 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f22966,f1261]) ).
thf(f1261,plain,
binintersectI = $true,
inference(cnf_transformation,[status(thm)],[f746]) ).
thf(f22966,plain,
( ( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK150 )
!= $true )
| ( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK151 )
!= $true )
| ( binintersectI != $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f22950]) ).
thf(f22950,plain,
( ( $true != $true )
| ( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK150 )
!= $true )
| ( ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ sK151 )
!= $true )
| ( binintersectI != $true ) ),
inference(superposition,[status(thm)],[f2248,f1054]) ).
thf(f1054,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( binintersectI != $true )
| ( $true
= ( in @ X3 @ ( binintersect @ X5 @ X4 ) ) )
| ( ( in @ X3 @ X5 )
!= $true )
| ( ( in @ X3 @ X4 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f524]) ).
thf(f524,plain,
( ( ( binintersectI = $true )
| ( ( ( in @ sK32 @ sK34 )
= $true )
& ( $true
!= ( in @ sK32 @ ( binintersect @ sK34 @ sK33 ) ) )
& ( ( in @ sK32 @ sK33 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ X5 )
!= $true )
| ( $true
= ( in @ X3 @ ( binintersect @ X5 @ X4 ) ) )
| ( ( in @ X3 @ X4 )
!= $true ) )
| ( binintersectI != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34])],[f522,f523]) ).
thf(f523,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
& ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
!= $true )
& ( ( in @ X0 @ X1 )
= $true ) )
=> ( ( ( in @ sK32 @ sK34 )
= $true )
& ( $true
!= ( in @ sK32 @ ( binintersect @ sK34 @ sK33 ) ) )
& ( ( in @ sK32 @ sK33 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f522,plain,
( ( ( binintersectI = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
& ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
!= $true )
& ( ( in @ X0 @ X1 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X3 @ X5 )
!= $true )
| ( $true
= ( in @ X3 @ ( binintersect @ X5 @ X4 ) ) )
| ( ( in @ X3 @ X4 )
!= $true ) )
| ( binintersectI != $true ) ) ),
inference(rectify,[status(thm)],[f521]) ).
thf(f521,plain,
( ( ( binintersectI = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
& ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
!= $true )
& ( ( in @ X0 @ X1 )
= $true ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
= $true )
| ( ( in @ X0 @ X1 )
!= $true ) )
| ( binintersectI != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f449]) ).
thf(f449,plain,
( ( binintersectI = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
!= $true )
| ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
= $true )
| ( ( in @ X0 @ X1 )
!= $true ) ) ),
inference(flattening,[status(thm)],[f448]) ).
thf(f448,plain,
( ( binintersectI = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
= $true )
| ( ( in @ X0 @ X1 )
!= $true )
| ( ( in @ X0 @ X2 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f240]) ).
thf(f240,plain,
( ( binintersectI = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
= $true )
=> ( ( ( in @ X0 @ X1 )
= $true )
=> ( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f239]) ).
thf(f239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X2 )
=> ( ( in @ X0 @ X1 )
=> ( in @ X0 @ ( binintersect @ X2 @ X1 ) ) ) )
= binintersectI ),
inference(rectify,[status(thm)],[f109]) ).
thf(f109,axiom,
! [X1: $i,X4: $i,X3: $i] :
( ( ( in @ X1 @ X3 )
=> ( ( in @ X1 @ X4 )
=> ( in @ X1 @ ( binintersect @ X3 @ X4 ) ) ) )
= binintersectI ),
file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',binintersectI) ).
thf(f2248,plain,
( $true
!= ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ ( binintersect @ sK151 @ sK150 ) ) ),
inference(subsumption_resolution,[status(thm)],[f2225,f1279]) ).
thf(f2225,plain,
( ( $true
!= ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ ( binintersect @ sK151 @ sK150 ) ) )
| ( subsetI2 != $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f2204]) ).
thf(f2204,plain,
( ( $true != $true )
| ( subsetI2 != $true )
| ( $true
!= ( in @ ( sK109 @ sK152 @ ( binintersect @ sK151 @ sK150 ) ) @ ( binintersect @ sK151 @ sK150 ) ) ) ),
inference(superposition,[status(thm)],[f1288,f1179]) ).
thf(f1179,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( ( in @ ( sK109 @ X1 @ X0 ) @ X0 )
!= $true )
| ( subsetI2 != $true ) ),
inference(cnf_transformation,[status(thm)],[f673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU590^1 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Feb 24 12:28:21 EST 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.44 ---- Original DTF file ---
% 0.18/0.44 thf(spec,logic,$$dhol).
% 0.18/0.44 %------------------------------------------------------------------------------
% 0.18/0.44 % File : SEU590^1 : TPTP v9.2.1. Released v3.7.0.
% 0.18/0.44 % Domain : Set Theory
% 0.18/0.44 % Problem : Preliminary Notions - Ops on Sets - Unions and Intersections
% 0.18/0.44 % Version : Especial.
% 0.18/0.44 % English : (! A:i.! B:i.! C:i.subset C A -> subset C B -> subset C
% 0.18/0.44 % (binintersect A B))
% 0.18/0.44
% 0.18/0.44 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.18/0.44 % Source : [Bro08]
% 0.18/0.44 % Names : ZFC092g [Bro08]
% 0.18/0.44
% 0.18/0.44 % Status : Theorem
% 0.18/0.44 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.80 v8.2.0, 0.85 v8.1.0, 0.82 v7.5.0, 0.71 v7.4.0, 0.56 v7.2.0, 0.50 v7.1.0, 0.62 v7.0.0, 0.71 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 0.86 v6.1.0, 1.00 v5.4.0, 0.80 v5.0.0, 0.60 v4.1.0, 1.00 v3.7.0
% 0.18/0.44 % Syntax : Number of formulae : 233 ( 109 unt; 123 typ; 109 def)
% 0.18/0.44 % Number of atoms : 583 ( 158 equ; 0 cnn)
% 0.18/0.44 % Maximal formula atoms : 109 ( 5 avg)
% 0.18/0.44 % Number of connectives : 921 ( 29 ~; 6 |; 27 &; 583 @)
% 0.18/0.44 % ( 14 <=>; 262 =>; 0 <=; 0 <~>)
% 0.18/0.44 % Maximal formula depth : 115 ( 2 avg)
% 0.18/0.44 % Number of types : 2 ( 0 usr)
% 0.18/0.44 % Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% 0.18/0.44 % Number of symbols : 126 ( 123 usr; 110 con; 0-2 aty)
% 0.18/0.44 % Number of variables : 322 ( 33 ^; 261 !; 28 ?; 322 :)
% 0.18/0.44 % SPC : TH0_THM_EQU_NAR
% 0.18/0.44
% 0.18/0.44 % Comments : http://mathgate.info/detsetitem.php?id=366
% 0.18/0.44 %------------------------------------------------------------------------------
% 0.18/0.44 thf(in_type,type,
% 0.18/0.44 in: $i > $i > $o ).
% 0.18/0.44
% 0.18/0.44 thf(exu_type,type,
% 0.18/0.44 exu: ( $i > $o ) > $o ).
% 0.18/0.44
% 0.18/0.44 thf(exu,definition,
% 0.18/0.44 ( exu
% 0.18/0.44 = ( ^ [Xphi: $i > $o] :
% 0.18/0.44 ? [Xx: $i] :
% 0.18/0.44 ( ( Xphi @ Xx )
% 0.18/0.44 & ! [Xy: $i] :
% 0.18/0.44 ( ( Xphi @ Xy )
% 0.18/0.44 => ( Xx = Xy ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setextAx_type,type,
% 0.18/0.44 setextAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setextAx,definition,
% 0.18/0.44 ( setextAx
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 <=> ( in @ Xx @ B ) )
% 0.18/0.44 => ( A = B ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptyset_type,type,
% 0.18/0.44 emptyset: $i ).
% 0.18/0.44
% 0.18/0.44 thf(emptysetAx_type,type,
% 0.18/0.44 emptysetAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptysetAx,definition,
% 0.18/0.44 ( emptysetAx
% 0.18/0.44 = ( ! [Xx: $i] :
% 0.18/0.44 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoin_type,type,
% 0.18/0.44 setadjoin: $i > $i > $i ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinAx_type,type,
% 0.18/0.44 setadjoinAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinAx,definition,
% 0.18/0.44 ( setadjoinAx
% 0.18/0.44 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.44 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.18/0.44 <=> ( ( Xy = Xx )
% 0.18/0.44 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(powerset_type,type,
% 0.18/0.44 powerset: $i > $i ).
% 0.18/0.44
% 0.18/0.44 thf(powersetAx_type,type,
% 0.18/0.44 powersetAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(powersetAx,definition,
% 0.18/0.44 ( powersetAx
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( in @ B @ ( powerset @ A ) )
% 0.18/0.44 <=> ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ B )
% 0.18/0.44 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setunion_type,type,
% 0.18/0.44 setunion: $i > $i ).
% 0.18/0.44
% 0.18/0.44 thf(setunionAx_type,type,
% 0.18/0.44 setunionAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setunionAx,definition,
% 0.18/0.44 ( setunionAx
% 0.18/0.44 = ( ! [A: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ ( setunion @ A ) )
% 0.18/0.44 <=> ? [B: $i] :
% 0.18/0.44 ( ( in @ Xx @ B )
% 0.18/0.44 & ( in @ B @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(omega_type,type,
% 0.18/0.44 omega: $i ).
% 0.18/0.44
% 0.18/0.44 thf(omega0Ax_type,type,
% 0.18/0.44 omega0Ax: $o ).
% 0.18/0.44
% 0.18/0.44 thf(omega0Ax,definition,
% 0.18/0.44 ( omega0Ax
% 0.18/0.44 = ( in @ emptyset @ omega ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(omegaSAx_type,type,
% 0.18/0.44 omegaSAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(omegaSAx,definition,
% 0.18/0.44 ( omegaSAx
% 0.18/0.44 = ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ omega )
% 0.18/0.44 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(omegaIndAx_type,type,
% 0.18/0.44 omegaIndAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(omegaIndAx,definition,
% 0.18/0.44 ( omegaIndAx
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ( ( ( in @ emptyset @ A )
% 0.18/0.44 & ! [Xx: $i] :
% 0.18/0.44 ( ( ( in @ Xx @ omega )
% 0.18/0.44 & ( in @ Xx @ A ) )
% 0.18/0.44 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.18/0.44 => ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ omega )
% 0.18/0.44 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(replAx_type,type,
% 0.18/0.44 replAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(replAx,definition,
% 0.18/0.44 ( replAx
% 0.18/0.44 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( exu
% 0.18/0.44 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.18/0.44 => ? [B: $i] :
% 0.18/0.44 ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ B )
% 0.18/0.44 <=> ? [Xy: $i] :
% 0.18/0.44 ( ( in @ Xy @ A )
% 0.18/0.44 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(foundationAx_type,type,
% 0.18/0.44 foundationAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(foundationAx,definition,
% 0.18/0.44 ( foundationAx
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.18/0.44 => ? [B: $i] :
% 0.18/0.44 ( ( in @ B @ A )
% 0.18/0.44 & ~ ? [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ B )
% 0.18/0.44 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(wellorderingAx_type,type,
% 0.18/0.44 wellorderingAx: $o ).
% 0.18/0.44
% 0.18/0.44 thf(wellorderingAx,definition,
% 0.18/0.44 ( wellorderingAx
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ? [B: $i] :
% 0.18/0.44 ( ! [C: $i] :
% 0.18/0.44 ( ( in @ C @ B )
% 0.18/0.44 => ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ C )
% 0.18/0.44 => ( in @ Xx @ A ) ) )
% 0.18/0.44 & ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( ( in @ Xx @ A )
% 0.18/0.44 & ( in @ Xy @ A ) )
% 0.18/0.44 => ( ! [C: $i] :
% 0.18/0.44 ( ( in @ C @ B )
% 0.18/0.44 => ( ( in @ Xx @ C )
% 0.18/0.44 <=> ( in @ Xy @ C ) ) )
% 0.18/0.44 => ( Xx = Xy ) ) )
% 0.18/0.44 & ! [C: $i,D: $i] :
% 0.18/0.44 ( ( ( in @ C @ B )
% 0.18/0.44 & ( in @ D @ B ) )
% 0.18/0.44 => ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ C )
% 0.18/0.44 => ( in @ Xx @ D ) )
% 0.18/0.44 | ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ D )
% 0.18/0.44 => ( in @ Xx @ C ) ) ) )
% 0.18/0.44 & ! [C: $i] :
% 0.18/0.44 ( ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ C )
% 0.18/0.44 => ( in @ Xx @ A ) )
% 0.18/0.44 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.18/0.44 => ? [D: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ D @ B )
% 0.18/0.44 & ( in @ Xx @ C )
% 0.18/0.44 & ~ ? [Xy: $i] :
% 0.18/0.44 ( ( in @ Xy @ D )
% 0.18/0.44 & ( in @ Xy @ C ) )
% 0.18/0.44 & ! [E: $i] :
% 0.18/0.44 ( ( in @ E @ B )
% 0.18/0.44 => ( ! [Xy: $i] :
% 0.18/0.44 ( ( in @ Xy @ E )
% 0.18/0.44 => ( in @ Xy @ D ) )
% 0.18/0.44 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(descr_type,type,
% 0.18/0.44 descr: ( $i > $o ) > $i ).
% 0.18/0.44
% 0.18/0.44 thf(descrp_type,type,
% 0.18/0.44 descrp: $o ).
% 0.18/0.44
% 0.18/0.44 thf(descrp,definition,
% 0.18/0.44 ( descrp
% 0.18/0.44 = ( ! [Xphi: $i > $o] :
% 0.18/0.44 ( ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 => ( Xphi
% 0.18/0.44 @ ( descr
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(dsetconstr_type,type,
% 0.18/0.44 dsetconstr: $i > ( $i > $o ) > $i ).
% 0.18/0.44
% 0.18/0.44 thf(dsetconstrI_type,type,
% 0.18/0.44 dsetconstrI: $o ).
% 0.18/0.44
% 0.18/0.44 thf(dsetconstrI,definition,
% 0.18/0.44 ( dsetconstrI
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( ( Xphi @ Xx )
% 0.18/0.44 => ( in @ Xx
% 0.18/0.44 @ ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(dsetconstrEL_type,type,
% 0.18/0.44 dsetconstrEL: $o ).
% 0.18/0.44
% 0.18/0.44 thf(dsetconstrEL,definition,
% 0.18/0.44 ( dsetconstrEL
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx
% 0.18/0.44 @ ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.18/0.44 => ( in @ Xx @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(dsetconstrER_type,type,
% 0.18/0.44 dsetconstrER: $o ).
% 0.18/0.44
% 0.18/0.44 thf(dsetconstrER,definition,
% 0.18/0.44 ( dsetconstrER
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx
% 0.18/0.44 @ ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.18/0.44 => ( Xphi @ Xx ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(exuE1_type,type,
% 0.18/0.44 exuE1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(exuE1,definition,
% 0.18/0.44 ( exuE1
% 0.18/0.44 = ( ! [Xphi: $i > $o] :
% 0.18/0.44 ( ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 => ? [Xx: $i] :
% 0.18/0.44 ( ( Xphi @ Xx )
% 0.18/0.44 & ! [Xy: $i] :
% 0.18/0.44 ( ( Xphi @ Xy )
% 0.18/0.44 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(prop2set_type,type,
% 0.18/0.44 prop2set: $o > $i ).
% 0.18/0.44
% 0.18/0.44 thf(prop2setE_type,type,
% 0.18/0.44 prop2setE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(prop2setE,definition,
% 0.18/0.44 ( prop2setE
% 0.18/0.44 = ( ! [Xphi: $o,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.18/0.44 => Xphi ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptysetE_type,type,
% 0.18/0.44 emptysetE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptysetE,definition,
% 0.18/0.44 ( emptysetE
% 0.18/0.44 = ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ emptyset )
% 0.18/0.44 => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptysetimpfalse_type,type,
% 0.18/0.44 emptysetimpfalse: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptysetimpfalse,definition,
% 0.18/0.44 ( emptysetimpfalse
% 0.18/0.44 = ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ emptyset )
% 0.18/0.44 => $false ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(notinemptyset_type,type,
% 0.18/0.44 notinemptyset: $o ).
% 0.18/0.44
% 0.18/0.44 thf(notinemptyset,definition,
% 0.18/0.44 ( notinemptyset
% 0.18/0.44 = ( ! [Xx: $i] :
% 0.18/0.44 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(exuE3e_type,type,
% 0.18/0.44 exuE3e: $o ).
% 0.18/0.44
% 0.18/0.44 thf(exuE3e,definition,
% 0.18/0.44 ( exuE3e
% 0.18/0.44 = ( ! [Xphi: $i > $o] :
% 0.18/0.44 ( ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setext_type,type,
% 0.18/0.44 setext: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setext,definition,
% 0.18/0.44 ( setext
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( in @ Xx @ B ) )
% 0.18/0.44 => ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ B )
% 0.18/0.44 => ( in @ Xx @ A ) )
% 0.18/0.44 => ( A = B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptyI_type,type,
% 0.18/0.44 emptyI: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptyI,definition,
% 0.18/0.44 ( emptyI
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ~ ( in @ Xx @ A )
% 0.18/0.44 => ( A = emptyset ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(noeltsimpempty_type,type,
% 0.18/0.44 noeltsimpempty: $o ).
% 0.18/0.44
% 0.18/0.44 thf(noeltsimpempty,definition,
% 0.18/0.44 ( noeltsimpempty
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ~ ( in @ Xx @ A )
% 0.18/0.44 => ( A = emptyset ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setbeta_type,type,
% 0.18/0.44 setbeta: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setbeta,definition,
% 0.18/0.44 ( setbeta
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( ( in @ Xx
% 0.18/0.44 @ ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.18/0.44 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(nonempty_type,type,
% 0.18/0.44 nonempty: $i > $o ).
% 0.18/0.44
% 0.18/0.44 thf(nonempty,definition,
% 0.18/0.44 ( nonempty
% 0.18/0.44 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(nonemptyE1_type,type,
% 0.18/0.44 nonemptyE1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(nonemptyE1,definition,
% 0.18/0.44 ( nonemptyE1
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ( ( nonempty @ A )
% 0.18/0.44 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(nonemptyI_type,type,
% 0.18/0.44 nonemptyI: $o ).
% 0.18/0.44
% 0.18/0.44 thf(nonemptyI,definition,
% 0.18/0.44 ( nonemptyI
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( ( Xphi @ Xx )
% 0.18/0.44 => ( nonempty
% 0.18/0.44 @ ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(nonemptyI1_type,type,
% 0.18/0.44 nonemptyI1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(nonemptyI1,definition,
% 0.18/0.44 ( nonemptyI1
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.18/0.44 => ( nonempty @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinIL_type,type,
% 0.18/0.44 setadjoinIL: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinIL,definition,
% 0.18/0.44 ( setadjoinIL
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptyinunitempty_type,type,
% 0.18/0.44 emptyinunitempty: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptyinunitempty,definition,
% 0.18/0.44 ( emptyinunitempty
% 0.18/0.44 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinIR_type,type,
% 0.18/0.44 setadjoinIR: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinIR,definition,
% 0.18/0.44 ( setadjoinIR
% 0.18/0.44 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.44 ( ( in @ Xy @ A )
% 0.18/0.44 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinE_type,type,
% 0.18/0.44 setadjoinE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinE,definition,
% 0.18/0.44 ( setadjoinE
% 0.18/0.44 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.44 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.18/0.44 => ! [Xphi: $o] :
% 0.18/0.44 ( ( ( Xy = Xx )
% 0.18/0.44 => Xphi )
% 0.18/0.44 => ( ( ( in @ Xy @ A )
% 0.18/0.44 => Xphi )
% 0.18/0.44 => Xphi ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinOr_type,type,
% 0.18/0.44 setadjoinOr: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinOr,definition,
% 0.18/0.44 ( setadjoinOr
% 0.18/0.44 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.44 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.18/0.44 => ( ( Xy = Xx )
% 0.18/0.44 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setoftrueEq_type,type,
% 0.18/0.44 setoftrueEq: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setoftrueEq,definition,
% 0.18/0.44 ( setoftrueEq
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ( ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xx: $i] : $true )
% 0.18/0.44 = A ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(powersetI_type,type,
% 0.18/0.44 powersetI: $o ).
% 0.18/0.44
% 0.18/0.44 thf(powersetI,definition,
% 0.18/0.44 ( powersetI
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ B )
% 0.18/0.44 => ( in @ Xx @ A ) )
% 0.18/0.44 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptyinPowerset_type,type,
% 0.18/0.44 emptyinPowerset: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptyinPowerset,definition,
% 0.18/0.44 ( emptyinPowerset
% 0.18/0.44 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptyInPowerset_type,type,
% 0.18/0.44 emptyInPowerset: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptyInPowerset,definition,
% 0.18/0.44 ( emptyInPowerset
% 0.18/0.44 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(powersetE_type,type,
% 0.18/0.44 powersetE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(powersetE,definition,
% 0.18/0.44 ( powersetE
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ B @ ( powerset @ A ) )
% 0.18/0.44 => ( ( in @ Xx @ B )
% 0.18/0.44 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setunionI_type,type,
% 0.18/0.44 setunionI: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setunionI,definition,
% 0.18/0.44 ( setunionI
% 0.18/0.44 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.18/0.44 ( ( in @ Xx @ B )
% 0.18/0.44 => ( ( in @ B @ A )
% 0.18/0.44 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setunionE_type,type,
% 0.18/0.44 setunionE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setunionE,definition,
% 0.18/0.44 ( setunionE
% 0.18/0.44 = ( ! [A: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ ( setunion @ A ) )
% 0.18/0.44 => ! [Xphi: $o] :
% 0.18/0.44 ( ! [B: $i] :
% 0.18/0.44 ( ( in @ Xx @ B )
% 0.18/0.44 => ( ( in @ B @ A )
% 0.18/0.44 => Xphi ) )
% 0.18/0.44 => Xphi ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(subPowSU_type,type,
% 0.18/0.44 subPowSU: $o ).
% 0.18/0.44
% 0.18/0.44 thf(subPowSU,definition,
% 0.18/0.44 ( subPowSU
% 0.18/0.44 = ( ! [A: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(exuE2_type,type,
% 0.18/0.44 exuE2: $o ).
% 0.18/0.44
% 0.18/0.44 thf(exuE2,definition,
% 0.18/0.44 ( exuE2
% 0.18/0.44 = ( ! [Xphi: $i > $o] :
% 0.18/0.44 ( ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 => ? [Xx: $i] :
% 0.18/0.44 ! [Xy: $i] :
% 0.18/0.44 ( ( Xphi @ Xy )
% 0.18/0.44 <=> ( Xy = Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(nonemptyImpWitness_type,type,
% 0.18/0.44 nonemptyImpWitness: $o ).
% 0.18/0.44
% 0.18/0.44 thf(nonemptyImpWitness,definition,
% 0.18/0.44 ( nonemptyImpWitness
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ( ( nonempty @ A )
% 0.18/0.44 => ? [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 & $true ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(uniqinunit_type,type,
% 0.18/0.44 uniqinunit: $o ).
% 0.18/0.44
% 0.18/0.44 thf(uniqinunit,definition,
% 0.18/0.44 ( uniqinunit
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.18/0.44 => ( Xx = Xy ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(notinsingleton_type,type,
% 0.18/0.44 notinsingleton: $o ).
% 0.18/0.44
% 0.18/0.44 thf(notinsingleton,definition,
% 0.18/0.44 ( notinsingleton
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xx != Xy )
% 0.18/0.44 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(eqinunit_type,type,
% 0.18/0.44 eqinunit: $o ).
% 0.18/0.44
% 0.18/0.44 thf(eqinunit,definition,
% 0.18/0.44 ( eqinunit
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xx = Xy )
% 0.18/0.44 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(singletonsswitch_type,type,
% 0.18/0.44 singletonsswitch: $o ).
% 0.18/0.44
% 0.18/0.44 thf(singletonsswitch,definition,
% 0.18/0.44 ( singletonsswitch
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.18/0.44 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(upairsetE_type,type,
% 0.18/0.44 upairsetE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(upairsetE,definition,
% 0.18/0.44 ( upairsetE
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.18/0.44 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.18/0.44 => ( ( Xz = Xx )
% 0.18/0.44 | ( Xz = Xy ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(upairsetIL_type,type,
% 0.18/0.44 upairsetIL: $o ).
% 0.18/0.44
% 0.18/0.44 thf(upairsetIL,definition,
% 0.18/0.44 ( upairsetIL
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(upairsetIR_type,type,
% 0.18/0.44 upairsetIR: $o ).
% 0.18/0.44
% 0.18/0.44 thf(upairsetIR,definition,
% 0.18/0.44 ( upairsetIR
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptyE1_type,type,
% 0.18/0.44 emptyE1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptyE1,definition,
% 0.18/0.44 ( emptyE1
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.44 ( ? [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 & ( Xphi @ Xx ) )
% 0.18/0.44 => ( ( ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 = emptyset )
% 0.18/0.44 => $false ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(vacuousDall_type,type,
% 0.18/0.44 vacuousDall: $o ).
% 0.18/0.44
% 0.18/0.44 thf(vacuousDall,definition,
% 0.18/0.44 ( vacuousDall
% 0.18/0.44 = ( ! [Xphi: $i > $o,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ emptyset )
% 0.18/0.44 => ( Xphi @ Xx ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(quantDeMorgan1_type,type,
% 0.18/0.44 quantDeMorgan1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(quantDeMorgan1,definition,
% 0.18/0.44 ( quantDeMorgan1
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.44 ( ~ ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( Xphi @ Xx ) )
% 0.18/0.44 => ? [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(quantDeMorgan2_type,type,
% 0.18/0.44 quantDeMorgan2: $o ).
% 0.18/0.44
% 0.18/0.44 thf(quantDeMorgan2,definition,
% 0.18/0.44 ( quantDeMorgan2
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ~ ( Xphi @ Xx ) )
% 0.18/0.44 => ~ ? [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 & ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(quantDeMorgan3_type,type,
% 0.18/0.44 quantDeMorgan3: $o ).
% 0.18/0.44
% 0.18/0.44 thf(quantDeMorgan3,definition,
% 0.18/0.44 ( quantDeMorgan3
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.44 ( ~ ? [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 & ( Xphi @ Xx ) )
% 0.18/0.44 => ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(quantDeMorgan4_type,type,
% 0.18/0.44 quantDeMorgan4: $o ).
% 0.18/0.44
% 0.18/0.44 thf(quantDeMorgan4,definition,
% 0.18/0.44 ( quantDeMorgan4
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.44 ( ? [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 & ~ ( Xphi @ Xx ) )
% 0.18/0.44 => ~ ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(prop2setI_type,type,
% 0.18/0.44 prop2setI: $o ).
% 0.18/0.44
% 0.18/0.44 thf(prop2setI,definition,
% 0.18/0.44 ( prop2setI
% 0.18/0.44 = ( ! [Xphi: $o] :
% 0.18/0.44 ( Xphi
% 0.18/0.44 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(set2prop_type,type,
% 0.18/0.44 set2prop: $i > $o ).
% 0.18/0.44
% 0.18/0.44 thf(prop2set2propI_type,type,
% 0.18/0.44 prop2set2propI: $o ).
% 0.18/0.44
% 0.18/0.44 thf(prop2set2propI,definition,
% 0.18/0.44 ( prop2set2propI
% 0.18/0.44 = ( ! [Xphi: $o] :
% 0.18/0.44 ( Xphi
% 0.18/0.44 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(notdexE_type,type,
% 0.18/0.44 notdexE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(notdexE,definition,
% 0.18/0.44 ( notdexE
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.44 ( ~ ? [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 & ( Xphi @ Xx ) )
% 0.18/0.44 => ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(notdallE_type,type,
% 0.18/0.44 notdallE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(notdallE,definition,
% 0.18/0.44 ( notdallE
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.44 ( ~ ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( Xphi @ Xx ) )
% 0.18/0.44 => ? [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(exuI1_type,type,
% 0.18/0.44 exuI1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(exuI1,definition,
% 0.18/0.44 ( exuI1
% 0.18/0.44 = ( ! [Xphi: $i > $o] :
% 0.18/0.44 ( ? [Xx: $i] :
% 0.18/0.44 ( ( Xphi @ Xx )
% 0.18/0.44 & ! [Xy: $i] :
% 0.18/0.44 ( ( Xphi @ Xy )
% 0.18/0.44 => ( Xx = Xy ) ) )
% 0.18/0.44 => ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(exuI3_type,type,
% 0.18/0.44 exuI3: $o ).
% 0.18/0.44
% 0.18/0.44 thf(exuI3,definition,
% 0.18/0.44 ( exuI3
% 0.18/0.44 = ( ! [Xphi: $i > $o] :
% 0.18/0.44 ( ? [Xx: $i] : ( Xphi @ Xx )
% 0.18/0.44 => ( ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xphi @ Xx )
% 0.18/0.44 => ( ( Xphi @ Xy )
% 0.18/0.44 => ( Xx = Xy ) ) )
% 0.18/0.44 => ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(exuI2_type,type,
% 0.18/0.44 exuI2: $o ).
% 0.18/0.44
% 0.18/0.44 thf(exuI2,definition,
% 0.18/0.44 ( exuI2
% 0.18/0.44 = ( ! [Xphi: $i > $o] :
% 0.18/0.44 ( ? [Xx: $i] :
% 0.18/0.44 ! [Xy: $i] :
% 0.18/0.44 ( ( Xphi @ Xy )
% 0.18/0.44 <=> ( Xy = Xx ) )
% 0.18/0.44 => ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(inCongP_type,type,
% 0.18/0.44 inCongP: $o ).
% 0.18/0.44
% 0.18/0.44 thf(inCongP,definition,
% 0.18/0.44 ( inCongP
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( A = B )
% 0.18/0.44 => ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xx = Xy )
% 0.18/0.44 => ( ( in @ Xx @ A )
% 0.18/0.44 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(in__Cong_type,type,
% 0.18/0.44 in__Cong: $o ).
% 0.18/0.44
% 0.18/0.44 thf(in__Cong,definition,
% 0.18/0.44 ( in__Cong
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( A = B )
% 0.18/0.44 => ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xx = Xy )
% 0.18/0.44 => ( ( in @ Xx @ A )
% 0.18/0.44 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(exuE3u_type,type,
% 0.18/0.44 exuE3u: $o ).
% 0.18/0.44
% 0.18/0.44 thf(exuE3u,definition,
% 0.18/0.44 ( exuE3u
% 0.18/0.44 = ( ! [Xphi: $i > $o] :
% 0.18/0.44 ( ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 => ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xphi @ Xx )
% 0.18/0.44 => ( ( Xphi @ Xy )
% 0.18/0.44 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(exu__Cong_type,type,
% 0.18/0.44 exu__Cong: $o ).
% 0.18/0.44
% 0.18/0.44 thf(exu__Cong,definition,
% 0.18/0.44 ( exu__Cong
% 0.18/0.44 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.18/0.44 ( ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xx = Xy )
% 0.18/0.44 => ( ( Xphi @ Xx )
% 0.18/0.44 <=> ( Xpsi @ Xy ) ) )
% 0.18/0.44 => ( ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 <=> ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptyset__Cong_type,type,
% 0.18/0.44 emptyset__Cong: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptyset__Cong,definition,
% 0.18/0.44 ( emptyset__Cong
% 0.18/0.44 = ( emptyset = emptyset ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoin__Cong_type,type,
% 0.18/0.44 setadjoin__Cong: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoin__Cong,definition,
% 0.18/0.44 ( setadjoin__Cong
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xx = Xy )
% 0.18/0.44 => ! [Xz: $i,Xu: $i] :
% 0.18/0.44 ( ( Xz = Xu )
% 0.18/0.44 => ( ( setadjoin @ Xx @ Xz )
% 0.18/0.44 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(powerset__Cong_type,type,
% 0.18/0.44 powerset__Cong: $o ).
% 0.18/0.44
% 0.18/0.44 thf(powerset__Cong,definition,
% 0.18/0.44 ( powerset__Cong
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( A = B )
% 0.18/0.44 => ( ( powerset @ A )
% 0.18/0.44 = ( powerset @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setunion__Cong_type,type,
% 0.18/0.44 setunion__Cong: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setunion__Cong,definition,
% 0.18/0.44 ( setunion__Cong
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( A = B )
% 0.18/0.44 => ( ( setunion @ A )
% 0.18/0.44 = ( setunion @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(omega__Cong_type,type,
% 0.18/0.44 omega__Cong: $o ).
% 0.18/0.44
% 0.18/0.44 thf(omega__Cong,definition,
% 0.18/0.44 ( omega__Cong
% 0.18/0.44 = ( omega = omega ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(exuEu_type,type,
% 0.18/0.44 exuEu: $o ).
% 0.18/0.44
% 0.18/0.44 thf(exuEu,definition,
% 0.18/0.44 ( exuEu
% 0.18/0.44 = ( ! [Xphi: $i > $o] :
% 0.18/0.44 ( ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 => ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xphi @ Xx )
% 0.18/0.44 => ( ( Xphi @ Xy )
% 0.18/0.44 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(descr__Cong_type,type,
% 0.18/0.44 descr__Cong: $o ).
% 0.18/0.44
% 0.18/0.44 thf(descr__Cong,definition,
% 0.18/0.44 ( descr__Cong
% 0.18/0.44 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.18/0.44 ( ! [Xx: $i,Xy: $i] :
% 0.18/0.44 ( ( Xx = Xy )
% 0.18/0.44 => ( ( Xphi @ Xx )
% 0.18/0.44 <=> ( Xpsi @ Xy ) ) )
% 0.18/0.44 => ( ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 => ( ( exu
% 0.18/0.44 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 0.18/0.44 => ( ( descr
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 = ( descr
% 0.18/0.44 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(dsetconstr__Cong_type,type,
% 0.18/0.44 dsetconstr__Cong: $o ).
% 0.18/0.44
% 0.18/0.44 thf(dsetconstr__Cong,definition,
% 0.18/0.44 ( dsetconstr__Cong
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( A = B )
% 0.18/0.44 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ! [Xy: $i] :
% 0.18/0.44 ( ( in @ Xy @ B )
% 0.18/0.44 => ( ( Xx = Xy )
% 0.18/0.44 => ( ( Xphi @ Xx )
% 0.18/0.44 <=> ( Xpsi @ Xy ) ) ) ) )
% 0.18/0.44 => ( ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 = ( dsetconstr @ B
% 0.18/0.44 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(subset_type,type,
% 0.18/0.44 subset: $i > $i > $o ).
% 0.18/0.44
% 0.18/0.44 thf(disjoint_type,type,
% 0.18/0.44 disjoint: $i > $i > $o ).
% 0.18/0.44
% 0.18/0.44 thf(setsmeet_type,type,
% 0.18/0.44 setsmeet: $i > $i > $o ).
% 0.18/0.44
% 0.18/0.44 thf(subsetI1_type,type,
% 0.18/0.44 subsetI1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(subsetI1,definition,
% 0.18/0.44 ( subsetI1
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( in @ Xx @ B ) )
% 0.18/0.44 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(eqimpsubset2_type,type,
% 0.18/0.44 eqimpsubset2: $o ).
% 0.18/0.44
% 0.18/0.44 thf(eqimpsubset2,definition,
% 0.18/0.44 ( eqimpsubset2
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( A = B )
% 0.18/0.44 => ( subset @ B @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(eqimpsubset1_type,type,
% 0.18/0.44 eqimpsubset1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(eqimpsubset1,definition,
% 0.18/0.44 ( eqimpsubset1
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( A = B )
% 0.18/0.44 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(subsetI2_type,type,
% 0.18/0.44 subsetI2: $o ).
% 0.18/0.44
% 0.18/0.44 thf(subsetI2,definition,
% 0.18/0.44 ( subsetI2
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ! [Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( in @ Xx @ B ) )
% 0.18/0.44 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(emptysetsubset_type,type,
% 0.18/0.44 emptysetsubset: $o ).
% 0.18/0.44
% 0.18/0.44 thf(emptysetsubset,definition,
% 0.18/0.44 ( emptysetsubset
% 0.18/0.44 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(subsetE_type,type,
% 0.18/0.44 subsetE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(subsetE,definition,
% 0.18/0.44 ( subsetE
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.44 ( ( subset @ A @ B )
% 0.18/0.44 => ( ( in @ Xx @ A )
% 0.18/0.44 => ( in @ Xx @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(subsetE2_type,type,
% 0.18/0.44 subsetE2: $o ).
% 0.18/0.44
% 0.18/0.44 thf(subsetE2,definition,
% 0.18/0.44 ( subsetE2
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.44 ( ( subset @ A @ B )
% 0.18/0.44 => ( ~ ( in @ Xx @ B )
% 0.18/0.44 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(notsubsetI_type,type,
% 0.18/0.44 notsubsetI: $o ).
% 0.18/0.44
% 0.18/0.44 thf(notsubsetI,definition,
% 0.18/0.44 ( notsubsetI
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( ~ ( in @ Xx @ B )
% 0.18/0.44 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(notequalI1_type,type,
% 0.18/0.44 notequalI1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(notequalI1,definition,
% 0.18/0.44 ( notequalI1
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ~ ( subset @ A @ B )
% 0.18/0.44 => ( A != B ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(notequalI2_type,type,
% 0.18/0.44 notequalI2: $o ).
% 0.18/0.44
% 0.18/0.44 thf(notequalI2,definition,
% 0.18/0.44 ( notequalI2
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( ~ ( in @ Xx @ B )
% 0.18/0.44 => ( A != B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(subsetRefl_type,type,
% 0.18/0.44 subsetRefl: $o ).
% 0.18/0.44
% 0.18/0.44 thf(subsetRefl,definition,
% 0.18/0.44 ( subsetRefl
% 0.18/0.44 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(subsetTrans_type,type,
% 0.18/0.44 subsetTrans: $o ).
% 0.18/0.44
% 0.18/0.44 thf(subsetTrans,definition,
% 0.18/0.44 ( subsetTrans
% 0.18/0.44 = ( ! [A: $i,B: $i,C: $i] :
% 0.18/0.44 ( ( subset @ A @ B )
% 0.18/0.44 => ( ( subset @ B @ C )
% 0.18/0.44 => ( subset @ A @ C ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinSub_type,type,
% 0.18/0.44 setadjoinSub: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinSub,definition,
% 0.18/0.44 ( setadjoinSub
% 0.18/0.44 = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinSub2_type,type,
% 0.18/0.44 setadjoinSub2: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setadjoinSub2,definition,
% 0.18/0.44 ( setadjoinSub2
% 0.18/0.44 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.18/0.44 ( ( subset @ A @ B )
% 0.18/0.44 => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(subset2powerset_type,type,
% 0.18/0.44 subset2powerset: $o ).
% 0.18/0.44
% 0.18/0.44 thf(subset2powerset,definition,
% 0.18/0.44 ( subset2powerset
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( subset @ A @ B )
% 0.18/0.44 => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(setextsub_type,type,
% 0.18/0.44 setextsub: $o ).
% 0.18/0.44
% 0.18/0.44 thf(setextsub,definition,
% 0.18/0.44 ( setextsub
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( subset @ A @ B )
% 0.18/0.44 => ( ( subset @ B @ A )
% 0.18/0.44 => ( A = B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(subsetemptysetimpeq_type,type,
% 0.18/0.44 subsetemptysetimpeq: $o ).
% 0.18/0.44
% 0.18/0.44 thf(subsetemptysetimpeq,definition,
% 0.18/0.44 ( subsetemptysetimpeq
% 0.18/0.44 = ( ! [A: $i] :
% 0.18/0.44 ( ( subset @ A @ emptyset )
% 0.18/0.44 => ( A = emptyset ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(powersetI1_type,type,
% 0.18/0.44 powersetI1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(powersetI1,definition,
% 0.18/0.44 ( powersetI1
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( subset @ B @ A )
% 0.18/0.44 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(powersetE1_type,type,
% 0.18/0.44 powersetE1: $o ).
% 0.18/0.44
% 0.18/0.44 thf(powersetE1,definition,
% 0.18/0.44 ( powersetE1
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( in @ B @ ( powerset @ A ) )
% 0.18/0.44 => ( subset @ B @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(inPowerset_type,type,
% 0.18/0.44 inPowerset: $o ).
% 0.18/0.44
% 0.18/0.44 thf(inPowerset,definition,
% 0.18/0.44 ( inPowerset
% 0.18/0.44 = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(powersetsubset_type,type,
% 0.18/0.44 powersetsubset: $o ).
% 0.18/0.44
% 0.18/0.44 thf(powersetsubset,definition,
% 0.18/0.44 ( powersetsubset
% 0.18/0.44 = ( ! [A: $i,B: $i] :
% 0.18/0.44 ( ( subset @ A @ B )
% 0.18/0.44 => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(sepInPowerset_type,type,
% 0.18/0.44 sepInPowerset: $o ).
% 0.18/0.44
% 0.18/0.44 thf(sepInPowerset,definition,
% 0.18/0.44 ( sepInPowerset
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.44 ( in
% 0.18/0.44 @ ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 @ ( powerset @ A ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(sepSubset_type,type,
% 0.18/0.44 sepSubset: $o ).
% 0.18/0.44
% 0.18/0.44 thf(sepSubset,definition,
% 0.18/0.44 ( sepSubset
% 0.18/0.44 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.44 ( subset
% 0.18/0.44 @ ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.44 @ A ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(binunion_type,type,
% 0.18/0.44 binunion: $i > $i > $i ).
% 0.18/0.44
% 0.18/0.44 thf(binunionIL_type,type,
% 0.18/0.44 binunionIL: $o ).
% 0.18/0.44
% 0.18/0.44 thf(binunionIL,definition,
% 0.18/0.44 ( binunionIL
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(upairset2IR_type,type,
% 0.18/0.44 upairset2IR: $o ).
% 0.18/0.44
% 0.18/0.44 thf(upairset2IR,definition,
% 0.18/0.44 ( upairset2IR
% 0.18/0.44 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(binunionIR_type,type,
% 0.18/0.44 binunionIR: $o ).
% 0.18/0.44
% 0.18/0.44 thf(binunionIR,definition,
% 0.18/0.44 ( binunionIR
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ B )
% 0.18/0.44 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(binunionEcases_type,type,
% 0.18/0.44 binunionEcases: $o ).
% 0.18/0.44
% 0.18/0.44 thf(binunionEcases,definition,
% 0.18/0.44 ( binunionEcases
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 0.18/0.44 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.18/0.44 => ( ( ( in @ Xx @ A )
% 0.18/0.44 => Xphi )
% 0.18/0.44 => ( ( ( in @ Xx @ B )
% 0.18/0.44 => Xphi )
% 0.18/0.44 => Xphi ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(binunionE_type,type,
% 0.18/0.44 binunionE: $o ).
% 0.18/0.44
% 0.18/0.44 thf(binunionE,definition,
% 0.18/0.44 ( binunionE
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.18/0.44 => ( ( in @ Xx @ A )
% 0.18/0.44 | ( in @ Xx @ B ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(binunionLsub_type,type,
% 0.18/0.44 binunionLsub: $o ).
% 0.18/0.44
% 0.18/0.44 thf(binunionLsub,definition,
% 0.18/0.44 ( binunionLsub
% 0.18/0.44 = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(binunionRsub_type,type,
% 0.18/0.44 binunionRsub: $o ).
% 0.18/0.44
% 0.18/0.44 thf(binunionRsub,definition,
% 0.18/0.44 ( binunionRsub
% 0.18/0.44 = ( ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(binintersect_type,type,
% 0.18/0.44 binintersect: $i > $i > $i ).
% 0.18/0.44
% 0.18/0.44 thf(binintersect,definition,
% 0.18/0.44 ( binintersect
% 0.18/0.44 = ( ^ [A: $i,B: $i] :
% 0.18/0.44 ( dsetconstr @ A
% 0.18/0.44 @ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(binintersectI_type,type,
% 0.18/0.44 binintersectI: $o ).
% 0.18/0.44
% 0.18/0.44 thf(binintersectI,definition,
% 0.18/0.44 ( binintersectI
% 0.18/0.44 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.44 ( ( in @ Xx @ A )
% 0.18/0.44 => ( ( in @ Xx @ B )
% 0.18/0.44 => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 thf(binintersectSubset5,conjecture,
% 0.18/0.44 ( setextAx
% 0.18/0.44 => ( emptysetAx
% 0.18/0.44 => ( setadjoinAx
% 0.18/0.44 => ( powersetAx
% 0.18/0.44 => ( setunionAx
% 0.18/0.44 => ( omega0Ax
% 0.18/0.44 => ( omegaSAx
% 0.18/0.44 => ( omegaIndAx
% 0.18/0.44 => ( replAx
% 0.18/0.44 => ( foundationAx
% 0.18/0.44 => ( wellorderingAx
% 0.18/0.44 => ( descrp
% 0.18/0.44 => ( dsetconstrI
% 0.18/0.44 => ( dsetconstrEL
% 0.18/0.44 => ( dsetconstrER
% 0.18/0.44 => ( exuE1
% 0.18/0.44 => ( prop2setE
% 0.18/0.44 => ( emptysetE
% 0.18/0.44 => ( emptysetimpfalse
% 0.18/0.44 => ( notinemptyset
% 0.18/0.44 => ( exuE3e
% 0.18/0.44 => ( setext
% 0.18/0.44 => ( emptyI
% 0.18/0.44 => ( noeltsimpempty
% 0.18/0.44 => ( setbeta
% 0.18/0.44 => ( nonemptyE1
% 0.18/0.44 => ( nonemptyI
% 0.18/0.44 => ( nonemptyI1
% 0.18/0.44 => ( setadjoinIL
% 0.18/0.44 => ( emptyinunitempty
% 0.18/0.44 => ( setadjoinIR
% 0.18/0.44 => ( setadjoinE
% 0.18/0.44 => ( setadjoinOr
% 0.18/0.44 => ( setoftrueEq
% 0.18/0.44 => ( powersetI
% 0.18/0.44 => ( emptyinPowerset
% 0.18/0.44 => ( emptyInPowerset
% 0.18/0.44 => ( powersetE
% 0.18/0.44 => ( setunionI
% 0.18/0.44 => ( setunionE
% 0.18/0.44 => ( subPowSU
% 0.18/0.44 => ( exuE2
% 0.18/0.44 => ( nonemptyImpWitness
% 0.18/0.44 => ( uniqinunit
% 0.18/0.44 => ( notinsingleton
% 0.18/0.44 => ( eqinunit
% 0.18/0.44 => ( singletonsswitch
% 0.18/0.44 => ( upairsetE
% 0.18/0.44 => ( upairsetIL
% 0.18/0.44 => ( upairsetIR
% 0.18/0.44 => ( emptyE1
% 0.18/0.44 => ( vacuousDall
% 0.18/0.44 => ( quantDeMorgan1
% 0.18/0.44 => ( quantDeMorgan2
% 0.18/0.44 => ( quantDeMorgan3
% 0.18/0.44 => ( quantDeMorgan4
% 0.18/0.44 => ( prop2setI
% 0.18/0.44 => ( prop2set2propI
% 0.18/0.44 => ( notdexE
% 0.18/0.44 => ( notdallE
% 0.18/0.44 => ( exuI1
% 0.18/0.44 => ( exuI3
% 0.18/0.44 => ( exuI2
% 0.18/0.44 => ( inCongP
% 0.18/0.44 => ( in__Cong
% 0.18/0.44 => ( exuE3u
% 0.18/0.44 => ( exu__Cong
% 0.18/0.44 => ( emptyset__Cong
% 0.18/0.44 => ( setadjoin__Cong
% 0.18/0.44 => ( powerset__Cong
% 0.18/0.44 => ( setunion__Cong
% 0.18/0.44 => ( omega__Cong
% 0.18/0.44 => ( exuEu
% 0.18/0.44 => ( descr__Cong
% 0.18/0.44 => ( dsetconstr__Cong
% 0.18/0.44 => ( subsetI1
% 0.18/0.44 => ( eqimpsubset2
% 0.18/0.44 => ( eqimpsubset1
% 0.18/0.44 => ( subsetI2
% 0.18/0.44 => ( emptysetsubset
% 0.18/0.44 => ( subsetE
% 0.18/0.44 => ( subsetE2
% 0.18/0.44 => ( notsubsetI
% 0.18/0.44 => ( notequalI1
% 0.18/0.44 => ( notequalI2
% 0.18/0.44 => ( subsetRefl
% 0.18/0.44 => ( subsetTrans
% 0.18/0.44 => ( setadjoinSub
% 0.18/0.44 => ( setadjoinSub2
% 0.18/0.44 => ( subset2powerset
% 0.18/0.44 => ( setextsub
% 0.18/0.44 => ( subsetemptysetimpeq
% 0.18/0.44 => ( powersetI1
% 0.18/0.44 => ( powersetE1
% 0.18/0.44 => ( inPowerset
% 0.18/0.44 => ( powersetsubset
% 0.18/0.44 => ( sepInPowerset
% 0.18/0.44 => ( sepSubset
% 0.18/0.44 => ( binunionIL
% 0.18/0.44 => ( upairset2IR
% 0.18/0.44 => ( binunionIR
% 0.18/0.44 => ( binunionEcases
% 0.18/0.44 => ( binunionE
% 0.18/0.44 => ( binunionLsub
% 0.18/0.44 => ( binunionRsub
% 0.18/0.44 => ( binintersectI
% 0.18/0.44 => ! [A: $i,B: $i,C: $i] :
% 0.18/0.44 ( ( subset @ C @ A )
% 0.18/0.44 => ( ( subset @ C @ B )
% 0.18/0.44 => ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.18/0.44
% 0.18/0.44 %------------------------------------------------------------------------------
% 0.18/0.44 ------------------------
% 2.07/1.37 ---- Embedded in THF ---
% 2.07/1.38 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.07/1.38 %%% Generated on Tue Feb 24 12:28:22 EST 2026
% 2.07/1.38 %%% using '$$dhol' embedding, version 1.3.0.
% 2.07/1.38 %%% Logic specification used:
% 2.07/1.38 %%% thf(spec, logic, $$dhol).
% 2.07/1.38
% 2.07/1.38 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2DTF11920.p
% See solution above
% 2.07/1.38 ------------------------
% 2.07/1.39 ---- Cleaned THF ---
% 2.07/1.39 thf(in_type,type,
% 2.07/1.39 in: $i > $i > $o ).
% 2.07/1.39
% 2.07/1.39 thf(exu_type,type,
% 2.07/1.39 exu: ( $i > $o ) > $o ).
% 2.07/1.39
% 2.07/1.39 thf(exu,definition,
% 2.07/1.39 ( exu
% 2.07/1.39 = ( ^ [Xphi: $i > $o] :
% 2.07/1.39 ? [Xx: $i] :
% 2.07/1.39 ( ( Xphi @ Xx )
% 2.07/1.39 & ! [Xy: $i] :
% 2.07/1.39 ( ( Xphi @ Xy )
% 2.07/1.39 => ( Xx = Xy ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setextAx_type,type,
% 2.07/1.39 setextAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setextAx,definition,
% 2.07/1.39 ( setextAx
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 <=> ( in @ Xx @ B ) )
% 2.07/1.39 => ( A = B ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptyset_type,type,
% 2.07/1.39 emptyset: $i ).
% 2.07/1.39
% 2.07/1.39 thf(emptysetAx_type,type,
% 2.07/1.39 emptysetAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptysetAx,definition,
% 2.07/1.39 ( emptysetAx
% 2.07/1.39 = ( ! [Xx: $i] :
% 2.07/1.39 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoin_type,type,
% 2.07/1.39 setadjoin: $i > $i > $i ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinAx_type,type,
% 2.07/1.39 setadjoinAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinAx,definition,
% 2.07/1.39 ( setadjoinAx
% 2.07/1.39 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.07/1.39 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.07/1.39 <=> ( ( Xy = Xx )
% 2.07/1.39 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(powerset_type,type,
% 2.07/1.39 powerset: $i > $i ).
% 2.07/1.39
% 2.07/1.39 thf(powersetAx_type,type,
% 2.07/1.39 powersetAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(powersetAx,definition,
% 2.07/1.39 ( powersetAx
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( in @ B @ ( powerset @ A ) )
% 2.07/1.39 <=> ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ B )
% 2.07/1.39 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setunion_type,type,
% 2.07/1.39 setunion: $i > $i ).
% 2.07/1.39
% 2.07/1.39 thf(setunionAx_type,type,
% 2.07/1.39 setunionAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setunionAx,definition,
% 2.07/1.39 ( setunionAx
% 2.07/1.39 = ( ! [A: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ ( setunion @ A ) )
% 2.07/1.39 <=> ? [B: $i] :
% 2.07/1.39 ( ( in @ Xx @ B )
% 2.07/1.39 & ( in @ B @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(omega_type,type,
% 2.07/1.39 omega: $i ).
% 2.07/1.39
% 2.07/1.39 thf(omega0Ax_type,type,
% 2.07/1.39 omega0Ax: $o ).
% 2.07/1.39
% 2.07/1.39 thf(omega0Ax,definition,
% 2.07/1.39 ( omega0Ax
% 2.07/1.39 = ( in @ emptyset @ omega ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(omegaSAx_type,type,
% 2.07/1.39 omegaSAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(omegaSAx,definition,
% 2.07/1.39 ( omegaSAx
% 2.07/1.39 = ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ omega )
% 2.07/1.39 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(omegaIndAx_type,type,
% 2.07/1.39 omegaIndAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(omegaIndAx,definition,
% 2.07/1.39 ( omegaIndAx
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ( ( ( in @ emptyset @ A )
% 2.07/1.39 & ! [Xx: $i] :
% 2.07/1.39 ( ( ( in @ Xx @ omega )
% 2.07/1.39 & ( in @ Xx @ A ) )
% 2.07/1.39 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 2.07/1.39 => ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ omega )
% 2.07/1.39 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(replAx_type,type,
% 2.07/1.39 replAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(replAx,definition,
% 2.07/1.39 ( replAx
% 2.07/1.39 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( exu
% 2.07/1.39 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 2.07/1.39 => ? [B: $i] :
% 2.07/1.39 ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ B )
% 2.07/1.39 <=> ? [Xy: $i] :
% 2.07/1.39 ( ( in @ Xy @ A )
% 2.07/1.39 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(foundationAx_type,type,
% 2.07/1.39 foundationAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(foundationAx,definition,
% 2.07/1.39 ( foundationAx
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.07/1.39 => ? [B: $i] :
% 2.07/1.39 ( ( in @ B @ A )
% 2.07/1.39 & ~ ? [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ B )
% 2.07/1.39 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(wellorderingAx_type,type,
% 2.07/1.39 wellorderingAx: $o ).
% 2.07/1.39
% 2.07/1.39 thf(wellorderingAx,definition,
% 2.07/1.39 ( wellorderingAx
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ? [B: $i] :
% 2.07/1.39 ( ! [C: $i] :
% 2.07/1.39 ( ( in @ C @ B )
% 2.07/1.39 => ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ C )
% 2.07/1.39 => ( in @ Xx @ A ) ) )
% 2.07/1.39 & ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( ( in @ Xx @ A )
% 2.07/1.39 & ( in @ Xy @ A ) )
% 2.07/1.39 => ( ! [C: $i] :
% 2.07/1.39 ( ( in @ C @ B )
% 2.07/1.39 => ( ( in @ Xx @ C )
% 2.07/1.39 <=> ( in @ Xy @ C ) ) )
% 2.07/1.39 => ( Xx = Xy ) ) )
% 2.07/1.39 & ! [C: $i,D: $i] :
% 2.07/1.39 ( ( ( in @ C @ B )
% 2.07/1.39 & ( in @ D @ B ) )
% 2.07/1.39 => ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ C )
% 2.07/1.39 => ( in @ Xx @ D ) )
% 2.07/1.39 | ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ D )
% 2.07/1.39 => ( in @ Xx @ C ) ) ) )
% 2.07/1.39 & ! [C: $i] :
% 2.07/1.39 ( ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ C )
% 2.07/1.39 => ( in @ Xx @ A ) )
% 2.07/1.39 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 2.07/1.39 => ? [D: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ D @ B )
% 2.07/1.39 & ( in @ Xx @ C )
% 2.07/1.39 & ~ ? [Xy: $i] :
% 2.07/1.39 ( ( in @ Xy @ D )
% 2.07/1.39 & ( in @ Xy @ C ) )
% 2.07/1.39 & ! [E: $i] :
% 2.07/1.39 ( ( in @ E @ B )
% 2.07/1.39 => ( ! [Xy: $i] :
% 2.07/1.39 ( ( in @ Xy @ E )
% 2.07/1.39 => ( in @ Xy @ D ) )
% 2.07/1.39 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(descr_type,type,
% 2.07/1.39 descr: ( $i > $o ) > $i ).
% 2.07/1.39
% 2.07/1.39 thf(descrp_type,type,
% 2.07/1.39 descrp: $o ).
% 2.07/1.39
% 2.07/1.39 thf(descrp,definition,
% 2.07/1.39 ( descrp
% 2.07/1.39 = ( ! [Xphi: $i > $o] :
% 2.07/1.39 ( ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 => ( Xphi
% 2.07/1.39 @ ( descr
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(dsetconstr_type,type,
% 2.07/1.39 dsetconstr: $i > ( $i > $o ) > $i ).
% 2.07/1.39
% 2.07/1.39 thf(dsetconstrI_type,type,
% 2.07/1.39 dsetconstrI: $o ).
% 2.07/1.39
% 2.07/1.39 thf(dsetconstrI,definition,
% 2.07/1.39 ( dsetconstrI
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( ( Xphi @ Xx )
% 2.07/1.39 => ( in @ Xx
% 2.07/1.39 @ ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(dsetconstrEL_type,type,
% 2.07/1.39 dsetconstrEL: $o ).
% 2.07/1.39
% 2.07/1.39 thf(dsetconstrEL,definition,
% 2.07/1.39 ( dsetconstrEL
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx
% 2.07/1.39 @ ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.07/1.39 => ( in @ Xx @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(dsetconstrER_type,type,
% 2.07/1.39 dsetconstrER: $o ).
% 2.07/1.39
% 2.07/1.39 thf(dsetconstrER,definition,
% 2.07/1.39 ( dsetconstrER
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx
% 2.07/1.39 @ ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.07/1.39 => ( Xphi @ Xx ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(exuE1_type,type,
% 2.07/1.39 exuE1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(exuE1,definition,
% 2.07/1.39 ( exuE1
% 2.07/1.39 = ( ! [Xphi: $i > $o] :
% 2.07/1.39 ( ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 => ? [Xx: $i] :
% 2.07/1.39 ( ( Xphi @ Xx )
% 2.07/1.39 & ! [Xy: $i] :
% 2.07/1.39 ( ( Xphi @ Xy )
% 2.07/1.39 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(prop2set_type,type,
% 2.07/1.39 prop2set: $o > $i ).
% 2.07/1.39
% 2.07/1.39 thf(prop2setE_type,type,
% 2.07/1.39 prop2setE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(prop2setE,definition,
% 2.07/1.39 ( prop2setE
% 2.07/1.39 = ( ! [Xphi: $o,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 2.07/1.39 => Xphi ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptysetE_type,type,
% 2.07/1.39 emptysetE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptysetE,definition,
% 2.07/1.39 ( emptysetE
% 2.07/1.39 = ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ emptyset )
% 2.07/1.39 => ! [Xphi: $o] : Xphi ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptysetimpfalse_type,type,
% 2.07/1.39 emptysetimpfalse: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptysetimpfalse,definition,
% 2.07/1.39 ( emptysetimpfalse
% 2.07/1.39 = ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ emptyset )
% 2.07/1.39 => $false ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(notinemptyset_type,type,
% 2.07/1.39 notinemptyset: $o ).
% 2.07/1.39
% 2.07/1.39 thf(notinemptyset,definition,
% 2.07/1.39 ( notinemptyset
% 2.07/1.39 = ( ! [Xx: $i] :
% 2.07/1.39 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(exuE3e_type,type,
% 2.07/1.39 exuE3e: $o ).
% 2.07/1.39
% 2.07/1.39 thf(exuE3e,definition,
% 2.07/1.39 ( exuE3e
% 2.07/1.39 = ( ! [Xphi: $i > $o] :
% 2.07/1.39 ( ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setext_type,type,
% 2.07/1.39 setext: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setext,definition,
% 2.07/1.39 ( setext
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( in @ Xx @ B ) )
% 2.07/1.39 => ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ B )
% 2.07/1.39 => ( in @ Xx @ A ) )
% 2.07/1.39 => ( A = B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptyI_type,type,
% 2.07/1.39 emptyI: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptyI,definition,
% 2.07/1.39 ( emptyI
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ~ ( in @ Xx @ A )
% 2.07/1.39 => ( A = emptyset ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(noeltsimpempty_type,type,
% 2.07/1.39 noeltsimpempty: $o ).
% 2.07/1.39
% 2.07/1.39 thf(noeltsimpempty,definition,
% 2.07/1.39 ( noeltsimpempty
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ~ ( in @ Xx @ A )
% 2.07/1.39 => ( A = emptyset ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setbeta_type,type,
% 2.07/1.39 setbeta: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setbeta,definition,
% 2.07/1.39 ( setbeta
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( ( in @ Xx
% 2.07/1.39 @ ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.07/1.39 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(nonempty_type,type,
% 2.07/1.39 nonempty: $i > $o ).
% 2.07/1.39
% 2.07/1.39 thf(nonempty,definition,
% 2.07/1.39 ( nonempty
% 2.07/1.39 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(nonemptyE1_type,type,
% 2.07/1.39 nonemptyE1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(nonemptyE1,definition,
% 2.07/1.39 ( nonemptyE1
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ( ( nonempty @ A )
% 2.07/1.39 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(nonemptyI_type,type,
% 2.07/1.39 nonemptyI: $o ).
% 2.07/1.39
% 2.07/1.39 thf(nonemptyI,definition,
% 2.07/1.39 ( nonemptyI
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( ( Xphi @ Xx )
% 2.07/1.39 => ( nonempty
% 2.07/1.39 @ ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(nonemptyI1_type,type,
% 2.07/1.39 nonemptyI1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(nonemptyI1,definition,
% 2.07/1.39 ( nonemptyI1
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.07/1.39 => ( nonempty @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinIL_type,type,
% 2.07/1.39 setadjoinIL: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinIL,definition,
% 2.07/1.39 ( setadjoinIL
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptyinunitempty_type,type,
% 2.07/1.39 emptyinunitempty: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptyinunitempty,definition,
% 2.07/1.39 ( emptyinunitempty
% 2.07/1.39 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinIR_type,type,
% 2.07/1.39 setadjoinIR: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinIR,definition,
% 2.07/1.39 ( setadjoinIR
% 2.07/1.39 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.07/1.39 ( ( in @ Xy @ A )
% 2.07/1.39 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinE_type,type,
% 2.07/1.39 setadjoinE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinE,definition,
% 2.07/1.39 ( setadjoinE
% 2.07/1.39 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.07/1.39 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.07/1.39 => ! [Xphi: $o] :
% 2.07/1.39 ( ( ( Xy = Xx )
% 2.07/1.39 => Xphi )
% 2.07/1.39 => ( ( ( in @ Xy @ A )
% 2.07/1.39 => Xphi )
% 2.07/1.39 => Xphi ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinOr_type,type,
% 2.07/1.39 setadjoinOr: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinOr,definition,
% 2.07/1.39 ( setadjoinOr
% 2.07/1.39 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.07/1.39 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.07/1.39 => ( ( Xy = Xx )
% 2.07/1.39 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setoftrueEq_type,type,
% 2.07/1.39 setoftrueEq: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setoftrueEq,definition,
% 2.07/1.39 ( setoftrueEq
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ( ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xx: $i] : $true )
% 2.07/1.39 = A ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(powersetI_type,type,
% 2.07/1.39 powersetI: $o ).
% 2.07/1.39
% 2.07/1.39 thf(powersetI,definition,
% 2.07/1.39 ( powersetI
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ B )
% 2.07/1.39 => ( in @ Xx @ A ) )
% 2.07/1.39 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptyinPowerset_type,type,
% 2.07/1.39 emptyinPowerset: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptyinPowerset,definition,
% 2.07/1.39 ( emptyinPowerset
% 2.07/1.39 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptyInPowerset_type,type,
% 2.07/1.39 emptyInPowerset: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptyInPowerset,definition,
% 2.07/1.39 ( emptyInPowerset
% 2.07/1.39 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(powersetE_type,type,
% 2.07/1.39 powersetE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(powersetE,definition,
% 2.07/1.39 ( powersetE
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ B @ ( powerset @ A ) )
% 2.07/1.39 => ( ( in @ Xx @ B )
% 2.07/1.39 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setunionI_type,type,
% 2.07/1.39 setunionI: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setunionI,definition,
% 2.07/1.39 ( setunionI
% 2.07/1.39 = ( ! [A: $i,Xx: $i,B: $i] :
% 2.07/1.39 ( ( in @ Xx @ B )
% 2.07/1.39 => ( ( in @ B @ A )
% 2.07/1.39 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setunionE_type,type,
% 2.07/1.39 setunionE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setunionE,definition,
% 2.07/1.39 ( setunionE
% 2.07/1.39 = ( ! [A: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ ( setunion @ A ) )
% 2.07/1.39 => ! [Xphi: $o] :
% 2.07/1.39 ( ! [B: $i] :
% 2.07/1.39 ( ( in @ Xx @ B )
% 2.07/1.39 => ( ( in @ B @ A )
% 2.07/1.39 => Xphi ) )
% 2.07/1.39 => Xphi ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(subPowSU_type,type,
% 2.07/1.39 subPowSU: $o ).
% 2.07/1.39
% 2.07/1.39 thf(subPowSU,definition,
% 2.07/1.39 ( subPowSU
% 2.07/1.39 = ( ! [A: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(exuE2_type,type,
% 2.07/1.39 exuE2: $o ).
% 2.07/1.39
% 2.07/1.39 thf(exuE2,definition,
% 2.07/1.39 ( exuE2
% 2.07/1.39 = ( ! [Xphi: $i > $o] :
% 2.07/1.39 ( ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 => ? [Xx: $i] :
% 2.07/1.39 ! [Xy: $i] :
% 2.07/1.39 ( ( Xphi @ Xy )
% 2.07/1.39 <=> ( Xy = Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(nonemptyImpWitness_type,type,
% 2.07/1.39 nonemptyImpWitness: $o ).
% 2.07/1.39
% 2.07/1.39 thf(nonemptyImpWitness,definition,
% 2.07/1.39 ( nonemptyImpWitness
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ( ( nonempty @ A )
% 2.07/1.39 => ? [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 & $true ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(uniqinunit_type,type,
% 2.07/1.39 uniqinunit: $o ).
% 2.07/1.39
% 2.07/1.39 thf(uniqinunit,definition,
% 2.07/1.39 ( uniqinunit
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.07/1.39 => ( Xx = Xy ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(notinsingleton_type,type,
% 2.07/1.39 notinsingleton: $o ).
% 2.07/1.39
% 2.07/1.39 thf(notinsingleton,definition,
% 2.07/1.39 ( notinsingleton
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xx != Xy )
% 2.07/1.39 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(eqinunit_type,type,
% 2.07/1.39 eqinunit: $o ).
% 2.07/1.39
% 2.07/1.39 thf(eqinunit,definition,
% 2.07/1.39 ( eqinunit
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xx = Xy )
% 2.07/1.39 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(singletonsswitch_type,type,
% 2.07/1.39 singletonsswitch: $o ).
% 2.07/1.39
% 2.07/1.39 thf(singletonsswitch,definition,
% 2.07/1.39 ( singletonsswitch
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.07/1.39 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(upairsetE_type,type,
% 2.07/1.39 upairsetE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(upairsetE,definition,
% 2.07/1.39 ( upairsetE
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.07/1.39 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 2.07/1.39 => ( ( Xz = Xx )
% 2.07/1.39 | ( Xz = Xy ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(upairsetIL_type,type,
% 2.07/1.39 upairsetIL: $o ).
% 2.07/1.39
% 2.07/1.39 thf(upairsetIL,definition,
% 2.07/1.39 ( upairsetIL
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(upairsetIR_type,type,
% 2.07/1.39 upairsetIR: $o ).
% 2.07/1.39
% 2.07/1.39 thf(upairsetIR,definition,
% 2.07/1.39 ( upairsetIR
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptyE1_type,type,
% 2.07/1.39 emptyE1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptyE1,definition,
% 2.07/1.39 ( emptyE1
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o] :
% 2.07/1.39 ( ? [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 & ( Xphi @ Xx ) )
% 2.07/1.39 => ( ( ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 = emptyset )
% 2.07/1.39 => $false ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(vacuousDall_type,type,
% 2.07/1.39 vacuousDall: $o ).
% 2.07/1.39
% 2.07/1.39 thf(vacuousDall,definition,
% 2.07/1.39 ( vacuousDall
% 2.07/1.39 = ( ! [Xphi: $i > $o,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ emptyset )
% 2.07/1.39 => ( Xphi @ Xx ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(quantDeMorgan1_type,type,
% 2.07/1.39 quantDeMorgan1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(quantDeMorgan1,definition,
% 2.07/1.39 ( quantDeMorgan1
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o] :
% 2.07/1.39 ( ~ ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( Xphi @ Xx ) )
% 2.07/1.39 => ? [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(quantDeMorgan2_type,type,
% 2.07/1.39 quantDeMorgan2: $o ).
% 2.07/1.39
% 2.07/1.39 thf(quantDeMorgan2,definition,
% 2.07/1.39 ( quantDeMorgan2
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ~ ( Xphi @ Xx ) )
% 2.07/1.39 => ~ ? [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 & ( Xphi @ Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(quantDeMorgan3_type,type,
% 2.07/1.39 quantDeMorgan3: $o ).
% 2.07/1.39
% 2.07/1.39 thf(quantDeMorgan3,definition,
% 2.07/1.39 ( quantDeMorgan3
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o] :
% 2.07/1.39 ( ~ ? [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 & ( Xphi @ Xx ) )
% 2.07/1.39 => ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(quantDeMorgan4_type,type,
% 2.07/1.39 quantDeMorgan4: $o ).
% 2.07/1.39
% 2.07/1.39 thf(quantDeMorgan4,definition,
% 2.07/1.39 ( quantDeMorgan4
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o] :
% 2.07/1.39 ( ? [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 & ~ ( Xphi @ Xx ) )
% 2.07/1.39 => ~ ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( Xphi @ Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(prop2setI_type,type,
% 2.07/1.39 prop2setI: $o ).
% 2.07/1.39
% 2.07/1.39 thf(prop2setI,definition,
% 2.07/1.39 ( prop2setI
% 2.07/1.39 = ( ! [Xphi: $o] :
% 2.07/1.39 ( Xphi
% 2.07/1.39 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(set2prop_type,type,
% 2.07/1.39 set2prop: $i > $o ).
% 2.07/1.39
% 2.07/1.39 thf(prop2set2propI_type,type,
% 2.07/1.39 prop2set2propI: $o ).
% 2.07/1.39
% 2.07/1.39 thf(prop2set2propI,definition,
% 2.07/1.39 ( prop2set2propI
% 2.07/1.39 = ( ! [Xphi: $o] :
% 2.07/1.39 ( Xphi
% 2.07/1.39 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(notdexE_type,type,
% 2.07/1.39 notdexE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(notdexE,definition,
% 2.07/1.39 ( notdexE
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o] :
% 2.07/1.39 ( ~ ? [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 & ( Xphi @ Xx ) )
% 2.07/1.39 => ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(notdallE_type,type,
% 2.07/1.39 notdallE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(notdallE,definition,
% 2.07/1.39 ( notdallE
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o] :
% 2.07/1.39 ( ~ ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( Xphi @ Xx ) )
% 2.07/1.39 => ? [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(exuI1_type,type,
% 2.07/1.39 exuI1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(exuI1,definition,
% 2.07/1.39 ( exuI1
% 2.07/1.39 = ( ! [Xphi: $i > $o] :
% 2.07/1.39 ( ? [Xx: $i] :
% 2.07/1.39 ( ( Xphi @ Xx )
% 2.07/1.39 & ! [Xy: $i] :
% 2.07/1.39 ( ( Xphi @ Xy )
% 2.07/1.39 => ( Xx = Xy ) ) )
% 2.07/1.39 => ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(exuI3_type,type,
% 2.07/1.39 exuI3: $o ).
% 2.07/1.39
% 2.07/1.39 thf(exuI3,definition,
% 2.07/1.39 ( exuI3
% 2.07/1.39 = ( ! [Xphi: $i > $o] :
% 2.07/1.39 ( ? [Xx: $i] : ( Xphi @ Xx )
% 2.07/1.39 => ( ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xphi @ Xx )
% 2.07/1.39 => ( ( Xphi @ Xy )
% 2.07/1.39 => ( Xx = Xy ) ) )
% 2.07/1.39 => ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(exuI2_type,type,
% 2.07/1.39 exuI2: $o ).
% 2.07/1.39
% 2.07/1.39 thf(exuI2,definition,
% 2.07/1.39 ( exuI2
% 2.07/1.39 = ( ! [Xphi: $i > $o] :
% 2.07/1.39 ( ? [Xx: $i] :
% 2.07/1.39 ! [Xy: $i] :
% 2.07/1.39 ( ( Xphi @ Xy )
% 2.07/1.39 <=> ( Xy = Xx ) )
% 2.07/1.39 => ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(inCongP_type,type,
% 2.07/1.39 inCongP: $o ).
% 2.07/1.39
% 2.07/1.39 thf(inCongP,definition,
% 2.07/1.39 ( inCongP
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( A = B )
% 2.07/1.39 => ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xx = Xy )
% 2.07/1.39 => ( ( in @ Xx @ A )
% 2.07/1.39 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(in__Cong_type,type,
% 2.07/1.39 in__Cong: $o ).
% 2.07/1.39
% 2.07/1.39 thf(in__Cong,definition,
% 2.07/1.39 ( in__Cong
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( A = B )
% 2.07/1.39 => ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xx = Xy )
% 2.07/1.39 => ( ( in @ Xx @ A )
% 2.07/1.39 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(exuE3u_type,type,
% 2.07/1.39 exuE3u: $o ).
% 2.07/1.39
% 2.07/1.39 thf(exuE3u,definition,
% 2.07/1.39 ( exuE3u
% 2.07/1.39 = ( ! [Xphi: $i > $o] :
% 2.07/1.39 ( ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 => ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xphi @ Xx )
% 2.07/1.39 => ( ( Xphi @ Xy )
% 2.07/1.39 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(exu__Cong_type,type,
% 2.07/1.39 exu__Cong: $o ).
% 2.07/1.39
% 2.07/1.39 thf(exu__Cong,definition,
% 2.07/1.39 ( exu__Cong
% 2.07/1.39 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.07/1.39 ( ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xx = Xy )
% 2.07/1.39 => ( ( Xphi @ Xx )
% 2.07/1.39 <=> ( Xpsi @ Xy ) ) )
% 2.07/1.39 => ( ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 <=> ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptyset__Cong_type,type,
% 2.07/1.39 emptyset__Cong: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptyset__Cong,definition,
% 2.07/1.39 ( emptyset__Cong
% 2.07/1.39 = ( emptyset = emptyset ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoin__Cong_type,type,
% 2.07/1.39 setadjoin__Cong: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoin__Cong,definition,
% 2.07/1.39 ( setadjoin__Cong
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xx = Xy )
% 2.07/1.39 => ! [Xz: $i,Xu: $i] :
% 2.07/1.39 ( ( Xz = Xu )
% 2.07/1.39 => ( ( setadjoin @ Xx @ Xz )
% 2.07/1.39 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(powerset__Cong_type,type,
% 2.07/1.39 powerset__Cong: $o ).
% 2.07/1.39
% 2.07/1.39 thf(powerset__Cong,definition,
% 2.07/1.39 ( powerset__Cong
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( A = B )
% 2.07/1.39 => ( ( powerset @ A )
% 2.07/1.39 = ( powerset @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setunion__Cong_type,type,
% 2.07/1.39 setunion__Cong: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setunion__Cong,definition,
% 2.07/1.39 ( setunion__Cong
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( A = B )
% 2.07/1.39 => ( ( setunion @ A )
% 2.07/1.39 = ( setunion @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(omega__Cong_type,type,
% 2.07/1.39 omega__Cong: $o ).
% 2.07/1.39
% 2.07/1.39 thf(omega__Cong,definition,
% 2.07/1.39 ( omega__Cong
% 2.07/1.39 = ( omega = omega ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(exuEu_type,type,
% 2.07/1.39 exuEu: $o ).
% 2.07/1.39
% 2.07/1.39 thf(exuEu,definition,
% 2.07/1.39 ( exuEu
% 2.07/1.39 = ( ! [Xphi: $i > $o] :
% 2.07/1.39 ( ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 => ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xphi @ Xx )
% 2.07/1.39 => ( ( Xphi @ Xy )
% 2.07/1.39 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(descr__Cong_type,type,
% 2.07/1.39 descr__Cong: $o ).
% 2.07/1.39
% 2.07/1.39 thf(descr__Cong,definition,
% 2.07/1.39 ( descr__Cong
% 2.07/1.39 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.07/1.39 ( ! [Xx: $i,Xy: $i] :
% 2.07/1.39 ( ( Xx = Xy )
% 2.07/1.39 => ( ( Xphi @ Xx )
% 2.07/1.39 <=> ( Xpsi @ Xy ) ) )
% 2.07/1.39 => ( ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 => ( ( exu
% 2.07/1.39 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 2.07/1.39 => ( ( descr
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 = ( descr
% 2.07/1.39 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(dsetconstr__Cong_type,type,
% 2.07/1.39 dsetconstr__Cong: $o ).
% 2.07/1.39
% 2.07/1.39 thf(dsetconstr__Cong,definition,
% 2.07/1.39 ( dsetconstr__Cong
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( A = B )
% 2.07/1.39 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ! [Xy: $i] :
% 2.07/1.39 ( ( in @ Xy @ B )
% 2.07/1.39 => ( ( Xx = Xy )
% 2.07/1.39 => ( ( Xphi @ Xx )
% 2.07/1.39 <=> ( Xpsi @ Xy ) ) ) ) )
% 2.07/1.39 => ( ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 = ( dsetconstr @ B
% 2.07/1.39 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(subset_type,type,
% 2.07/1.39 subset: $i > $i > $o ).
% 2.07/1.39
% 2.07/1.39 thf(disjoint_type,type,
% 2.07/1.39 disjoint: $i > $i > $o ).
% 2.07/1.39
% 2.07/1.39 thf(setsmeet_type,type,
% 2.07/1.39 setsmeet: $i > $i > $o ).
% 2.07/1.39
% 2.07/1.39 thf(subsetI1_type,type,
% 2.07/1.39 subsetI1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(subsetI1,definition,
% 2.07/1.39 ( subsetI1
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( in @ Xx @ B ) )
% 2.07/1.39 => ( subset @ A @ B ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(eqimpsubset2_type,type,
% 2.07/1.39 eqimpsubset2: $o ).
% 2.07/1.39
% 2.07/1.39 thf(eqimpsubset2,definition,
% 2.07/1.39 ( eqimpsubset2
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( A = B )
% 2.07/1.39 => ( subset @ B @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(eqimpsubset1_type,type,
% 2.07/1.39 eqimpsubset1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(eqimpsubset1,definition,
% 2.07/1.39 ( eqimpsubset1
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( A = B )
% 2.07/1.39 => ( subset @ A @ B ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(subsetI2_type,type,
% 2.07/1.39 subsetI2: $o ).
% 2.07/1.39
% 2.07/1.39 thf(subsetI2,definition,
% 2.07/1.39 ( subsetI2
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ! [Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( in @ Xx @ B ) )
% 2.07/1.39 => ( subset @ A @ B ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(emptysetsubset_type,type,
% 2.07/1.39 emptysetsubset: $o ).
% 2.07/1.39
% 2.07/1.39 thf(emptysetsubset,definition,
% 2.07/1.39 ( emptysetsubset
% 2.07/1.39 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(subsetE_type,type,
% 2.07/1.39 subsetE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(subsetE,definition,
% 2.07/1.39 ( subsetE
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.07/1.39 ( ( subset @ A @ B )
% 2.07/1.39 => ( ( in @ Xx @ A )
% 2.07/1.39 => ( in @ Xx @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(subsetE2_type,type,
% 2.07/1.39 subsetE2: $o ).
% 2.07/1.39
% 2.07/1.39 thf(subsetE2,definition,
% 2.07/1.39 ( subsetE2
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.07/1.39 ( ( subset @ A @ B )
% 2.07/1.39 => ( ~ ( in @ Xx @ B )
% 2.07/1.39 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(notsubsetI_type,type,
% 2.07/1.39 notsubsetI: $o ).
% 2.07/1.39
% 2.07/1.39 thf(notsubsetI,definition,
% 2.07/1.39 ( notsubsetI
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( ~ ( in @ Xx @ B )
% 2.07/1.39 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(notequalI1_type,type,
% 2.07/1.39 notequalI1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(notequalI1,definition,
% 2.07/1.39 ( notequalI1
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ~ ( subset @ A @ B )
% 2.07/1.39 => ( A != B ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(notequalI2_type,type,
% 2.07/1.39 notequalI2: $o ).
% 2.07/1.39
% 2.07/1.39 thf(notequalI2,definition,
% 2.07/1.39 ( notequalI2
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( ~ ( in @ Xx @ B )
% 2.07/1.39 => ( A != B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(subsetRefl_type,type,
% 2.07/1.39 subsetRefl: $o ).
% 2.07/1.39
% 2.07/1.39 thf(subsetRefl,definition,
% 2.07/1.39 ( subsetRefl
% 2.07/1.39 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(subsetTrans_type,type,
% 2.07/1.39 subsetTrans: $o ).
% 2.07/1.39
% 2.07/1.39 thf(subsetTrans,definition,
% 2.07/1.39 ( subsetTrans
% 2.07/1.39 = ( ! [A: $i,B: $i,C: $i] :
% 2.07/1.39 ( ( subset @ A @ B )
% 2.07/1.39 => ( ( subset @ B @ C )
% 2.07/1.39 => ( subset @ A @ C ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinSub_type,type,
% 2.07/1.39 setadjoinSub: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinSub,definition,
% 2.07/1.39 ( setadjoinSub
% 2.07/1.39 = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinSub2_type,type,
% 2.07/1.39 setadjoinSub2: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setadjoinSub2,definition,
% 2.07/1.39 ( setadjoinSub2
% 2.07/1.39 = ( ! [A: $i,Xx: $i,B: $i] :
% 2.07/1.39 ( ( subset @ A @ B )
% 2.07/1.39 => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(subset2powerset_type,type,
% 2.07/1.39 subset2powerset: $o ).
% 2.07/1.39
% 2.07/1.39 thf(subset2powerset,definition,
% 2.07/1.39 ( subset2powerset
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( subset @ A @ B )
% 2.07/1.39 => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(setextsub_type,type,
% 2.07/1.39 setextsub: $o ).
% 2.07/1.39
% 2.07/1.39 thf(setextsub,definition,
% 2.07/1.39 ( setextsub
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( subset @ A @ B )
% 2.07/1.39 => ( ( subset @ B @ A )
% 2.07/1.39 => ( A = B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(subsetemptysetimpeq_type,type,
% 2.07/1.39 subsetemptysetimpeq: $o ).
% 2.07/1.39
% 2.07/1.39 thf(subsetemptysetimpeq,definition,
% 2.07/1.39 ( subsetemptysetimpeq
% 2.07/1.39 = ( ! [A: $i] :
% 2.07/1.39 ( ( subset @ A @ emptyset )
% 2.07/1.39 => ( A = emptyset ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(powersetI1_type,type,
% 2.07/1.39 powersetI1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(powersetI1,definition,
% 2.07/1.39 ( powersetI1
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( subset @ B @ A )
% 2.07/1.39 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(powersetE1_type,type,
% 2.07/1.39 powersetE1: $o ).
% 2.07/1.39
% 2.07/1.39 thf(powersetE1,definition,
% 2.07/1.39 ( powersetE1
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( in @ B @ ( powerset @ A ) )
% 2.07/1.39 => ( subset @ B @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(inPowerset_type,type,
% 2.07/1.39 inPowerset: $o ).
% 2.07/1.39
% 2.07/1.39 thf(inPowerset,definition,
% 2.07/1.39 ( inPowerset
% 2.07/1.39 = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(powersetsubset_type,type,
% 2.07/1.39 powersetsubset: $o ).
% 2.07/1.39
% 2.07/1.39 thf(powersetsubset,definition,
% 2.07/1.39 ( powersetsubset
% 2.07/1.39 = ( ! [A: $i,B: $i] :
% 2.07/1.39 ( ( subset @ A @ B )
% 2.07/1.39 => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(sepInPowerset_type,type,
% 2.07/1.39 sepInPowerset: $o ).
% 2.07/1.39
% 2.07/1.39 thf(sepInPowerset,definition,
% 2.07/1.39 ( sepInPowerset
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o] :
% 2.07/1.39 ( in
% 2.07/1.39 @ ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 @ ( powerset @ A ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(sepSubset_type,type,
% 2.07/1.39 sepSubset: $o ).
% 2.07/1.39
% 2.07/1.39 thf(sepSubset,definition,
% 2.07/1.39 ( sepSubset
% 2.07/1.39 = ( ! [A: $i,Xphi: $i > $o] :
% 2.07/1.39 ( subset
% 2.07/1.39 @ ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.07/1.39 @ A ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(binunion_type,type,
% 2.07/1.39 binunion: $i > $i > $i ).
% 2.07/1.39
% 2.07/1.39 thf(binunionIL_type,type,
% 2.07/1.39 binunionIL: $o ).
% 2.07/1.39
% 2.07/1.39 thf(binunionIL,definition,
% 2.07/1.39 ( binunionIL
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(upairset2IR_type,type,
% 2.07/1.39 upairset2IR: $o ).
% 2.07/1.39
% 2.07/1.39 thf(upairset2IR,definition,
% 2.07/1.39 ( upairset2IR
% 2.07/1.39 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(binunionIR_type,type,
% 2.07/1.39 binunionIR: $o ).
% 2.07/1.39
% 2.07/1.39 thf(binunionIR,definition,
% 2.07/1.39 ( binunionIR
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ B )
% 2.07/1.39 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(binunionEcases_type,type,
% 2.07/1.39 binunionEcases: $o ).
% 2.07/1.39
% 2.07/1.39 thf(binunionEcases,definition,
% 2.07/1.39 ( binunionEcases
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 2.07/1.39 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.07/1.39 => ( ( ( in @ Xx @ A )
% 2.07/1.39 => Xphi )
% 2.07/1.39 => ( ( ( in @ Xx @ B )
% 2.07/1.39 => Xphi )
% 2.07/1.39 => Xphi ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(binunionE_type,type,
% 2.07/1.39 binunionE: $o ).
% 2.07/1.39
% 2.07/1.39 thf(binunionE,definition,
% 2.07/1.39 ( binunionE
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.07/1.39 => ( ( in @ Xx @ A )
% 2.07/1.39 | ( in @ Xx @ B ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(binunionLsub_type,type,
% 2.07/1.39 binunionLsub: $o ).
% 2.07/1.39
% 2.07/1.39 thf(binunionLsub,definition,
% 2.07/1.39 ( binunionLsub
% 2.07/1.39 = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(binunionRsub_type,type,
% 2.07/1.39 binunionRsub: $o ).
% 2.07/1.39
% 2.07/1.39 thf(binunionRsub,definition,
% 2.07/1.39 ( binunionRsub
% 2.07/1.39 = ( ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(binintersect_type,type,
% 2.07/1.39 binintersect: $i > $i > $i ).
% 2.07/1.39
% 2.07/1.39 thf(binintersect,definition,
% 2.07/1.39 ( binintersect
% 2.07/1.39 = ( ^ [A: $i,B: $i] :
% 2.07/1.39 ( dsetconstr @ A
% 2.07/1.39 @ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(binintersectI_type,type,
% 2.07/1.39 binintersectI: $o ).
% 2.07/1.39
% 2.07/1.39 thf(binintersectI,definition,
% 2.07/1.39 ( binintersectI
% 2.07/1.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.07/1.39 ( ( in @ Xx @ A )
% 2.07/1.39 => ( ( in @ Xx @ B )
% 2.07/1.39 => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 2.07/1.39
% 2.07/1.39 thf(binintersectSubset5,conjecture,
% 2.07/1.39 ( setextAx
% 2.07/1.39 => ( emptysetAx
% 2.07/1.39 => ( setadjoinAx
% 2.07/1.39 => ( powersetAx
% 2.07/1.39 => ( setunionAx
% 2.07/1.39 => ( omega0Ax
% 2.07/1.39 => ( omegaSAx
% 2.07/1.39 => ( omegaIndAx
% 2.07/1.39 => ( replAx
% 2.07/1.39 => ( foundationAx
% 2.07/1.39 => ( wellorderingAx
% 2.07/1.39 => ( descrp
% 2.07/1.39 => ( dsetconstrI
% 2.07/1.39 => ( dsetconstrEL
% 2.07/1.39 => ( dsetconstrER
% 2.07/1.39 => ( exuE1
% 2.07/1.39 => ( prop2setE
% 2.07/1.39 => ( emptysetE
% 2.07/1.39 => ( emptysetimpfalse
% 2.07/1.39 => ( notinemptyset
% 2.07/1.39 => ( exuE3e
% 2.07/1.39 => ( setext
% 2.07/1.39 => ( emptyI
% 2.07/1.39 => ( noeltsimpempty
% 2.07/1.39 => ( setbeta
% 2.07/1.39 => ( nonemptyE1
% 2.07/1.39 => ( nonemptyI
% 2.07/1.39 => ( nonemptyI1
% 2.07/1.39 => ( setadjoinIL
% 2.07/1.39 => ( emptyinunitempty
% 2.07/1.39 => ( setadjoinIR
% 2.07/1.39 => ( setadjoinE
% 2.07/1.39 => ( setadjoinOr
% 2.07/1.39 => ( setoftrueEq
% 2.07/1.39 => ( powersetI
% 2.07/1.39 => ( emptyinPowerset
% 2.07/1.39 => ( emptyInPowerset
% 2.07/1.39 => ( powersetE
% 2.07/1.39 => ( setunionI
% 2.07/1.39 => ( setunionE
% 2.07/1.39 => ( subPowSU
% 2.07/1.39 => ( exuE2
% 2.07/1.39 => ( nonemptyImpWitness
% 2.07/1.39 => ( uniqinunit
% 2.07/1.39 => ( notinsingleton
% 2.07/1.39 => ( eqinunit
% 2.07/1.39 => ( singletonsswitch
% 2.07/1.39 => ( upairsetE
% 2.07/1.39 => ( upairsetIL
% 2.07/1.39 => ( upairsetIR
% 2.07/1.39 => ( emptyE1
% 2.07/1.39 => ( vacuousDall
% 2.07/1.39 => ( quantDeMorgan1
% 2.07/1.39 => ( quantDeMorgan2
% 2.07/1.39 => ( quantDeMorgan3
% 2.07/1.39 => ( quantDeMorgan4
% 2.07/1.39 => ( prop2setI
% 2.07/1.39 => ( prop2set2propI
% 2.07/1.39 => ( notdexE
% 2.07/1.39 => ( notdallE
% 2.07/1.39 => ( exuI1
% 2.07/1.39 => ( exuI3
% 2.07/1.39 => ( exuI2
% 2.07/1.39 => ( inCongP
% 2.07/1.39 => ( in__Cong
% 2.07/1.39 => ( exuE3u
% 2.07/1.39 => ( exu__Cong
% 2.07/1.39 => ( emptyset__Cong
% 2.07/1.39 => ( setadjoin__Cong
% 2.07/1.39 => ( powerset__Cong
% 2.07/1.39 => ( setunion__Cong
% 2.07/1.39 => ( omega__Cong
% 2.07/1.39 => ( exuEu
% 2.07/1.39 => ( descr__Cong
% 2.07/1.39 => ( dsetconstr__Cong
% 2.07/1.39 => ( subsetI1
% 2.07/1.39 => ( eqimpsubset2
% 2.07/1.39 => ( eqimpsubset1
% 2.07/1.39 => ( subsetI2
% 2.07/1.39 => ( emptysetsubset
% 2.07/1.39 => ( subsetE
% 2.07/1.39 => ( subsetE2
% 2.07/1.39 => ( notsubsetI
% 2.07/1.39 => ( notequalI1
% 2.07/1.39 => ( notequalI2
% 2.07/1.39 => ( subsetRefl
% 2.07/1.39 => ( subsetTrans
% 2.07/1.39 => ( setadjoinSub
% 2.07/1.39 => ( setadjoinSub2
% 2.07/1.39 => ( subset2powerset
% 2.07/1.39 => ( setextsub
% 2.07/1.39 => ( subsetemptysetimpeq
% 2.07/1.39 => ( powersetI1
% 2.07/1.39 => ( powersetE1
% 2.07/1.39 => ( inPowerset
% 2.07/1.39 => ( powersetsubset
% 2.07/1.39 => ( sepInPowerset
% 2.07/1.39 => ( sepSubset
% 2.07/1.39 => ( binunionIL
% 2.07/1.39 => ( upairset2IR
% 2.07/1.39 => ( binunionIR
% 2.07/1.39 => ( binunionEcases
% 2.07/1.39 => ( binunionE
% 2.07/1.39 => ( binunionLsub
% 2.07/1.39 => ( binunionRsub
% 2.07/1.39 => ( binintersectI
% 2.07/1.39 => ! [A: $i,B: $i,C: $i] :
% 2.07/1.39 ( ( subset @ C @ A )
% 2.07/1.39 => ( ( subset @ C @ B )
% 2.07/1.39 => ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.07/1.39 ------------------------
% 2.33/1.41 % (12114)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_11920 for (2999ds/4Mi)
% 2.33/1.41 % (12113)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/183Mi)
% 2.33/1.41 % (12115)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_11920 for (2999ds/27Mi)
% 2.33/1.42 % (12114)Instruction limit reached!
% 2.33/1.42 % (12114)------------------------------
% 2.33/1.42 % (12114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.42 % (12114)Termination reason: Unknown
% 2.33/1.42 % (12114)Termination phase: shuffling
% 2.33/1.42
% 2.33/1.42 % (12114)Memory used [KB]: 1279
% 2.33/1.42 % (12114)Time elapsed: 0.003 s
% 2.33/1.42 % (12114)Instructions burned: 5 (million)
% 2.33/1.42 % (12114)------------------------------
% 2.33/1.42 % (12114)------------------------------
% 2.33/1.42 % (12117)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_11920 for (2999ds/2Mi)
% 2.33/1.42 % (12117)Instruction limit reached!
% 2.33/1.42 % (12117)------------------------------
% 2.33/1.42 % (12117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.42 % (12117)Termination reason: Unknown
% 2.33/1.42 % (12117)Termination phase: shuffling
% 2.33/1.42
% 2.33/1.42 % (12117)Memory used [KB]: 1151
% 2.33/1.42 % (12117)Time elapsed: 0.002 s
% 2.33/1.42 % (12117)Instructions burned: 3 (million)
% 2.33/1.42 % (12117)------------------------------
% 2.33/1.42 % (12117)------------------------------
% 2.33/1.42 % (12116)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/2Mi)
% 2.33/1.42 % (12119)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/18Mi)
% 2.33/1.42 % (12115)Instruction limit reached!
% 2.33/1.42 % (12115)------------------------------
% 2.33/1.42 % (12115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.42 % (12115)Termination reason: Unknown
% 2.33/1.42 % (12115)Termination phase: Property scanning
% 2.33/1.42
% 2.33/1.42 % (12115)Memory used [KB]: 1535
% 2.33/1.42 % (12115)Time elapsed: 0.009 s
% 2.33/1.42 % (12115)Instructions burned: 27 (million)
% 2.33/1.42 % (12115)------------------------------
% 2.33/1.42 % (12115)------------------------------
% 2.33/1.42 % (12116)Instruction limit reached!
% 2.33/1.42 % (12116)------------------------------
% 2.33/1.42 % (12116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.42 % (12116)Termination reason: Unknown
% 2.33/1.42 % (12116)Termination phase: shuffling
% 2.33/1.42
% 2.33/1.42 % (12116)Memory used [KB]: 1151
% 2.33/1.42 % (12116)Time elapsed: 0.003 s
% 2.33/1.42 % (12116)Instructions burned: 2 (million)
% 2.33/1.42 % (12116)------------------------------
% 2.33/1.42 % (12116)------------------------------
% 2.33/1.43 % (12120)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/3Mi)
% 2.33/1.43 % (12121)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_11920 for (2999ds/37Mi)
% 2.33/1.43 % (12118)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_11920 for (2999ds/275Mi)
% 2.33/1.43 % (12120)Instruction limit reached!
% 2.33/1.43 % (12120)------------------------------
% 2.33/1.43 % (12120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.43 % (12120)Termination reason: Unknown
% 2.33/1.43 % (12120)Termination phase: shuffling
% 2.33/1.43
% 2.33/1.43 % (12120)Memory used [KB]: 1151
% 2.33/1.43 % (12120)Time elapsed: 0.002 s
% 2.33/1.43 % (12120)Instructions burned: 4 (million)
% 2.33/1.43 % (12120)------------------------------
% 2.33/1.43 % (12120)------------------------------
% 2.33/1.43 % (12119)Instruction limit reached!
% 2.33/1.43 % (12119)------------------------------
% 2.33/1.43 % (12119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.43 % (12119)Termination reason: Unknown
% 2.33/1.43 % (12119)Termination phase: Preprocessing 3
% 2.33/1.43
% 2.33/1.43 % (12119)Memory used [KB]: 1535
% 2.33/1.43 % (12119)Time elapsed: 0.008 s
% 2.33/1.43 % (12119)Instructions burned: 19 (million)
% 2.33/1.43 % (12119)------------------------------
% 2.33/1.43 % (12119)------------------------------
% 2.33/1.43 % (12122)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_11920 for (2999ds/15Mi)
% 2.33/1.44 % (12122)Instruction limit reached!
% 2.33/1.44 % (12122)------------------------------
% 2.33/1.44 % (12122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.44 % (12122)Termination reason: Unknown
% 2.33/1.44 % (12122)Termination phase: Naming
% 2.33/1.44
% 2.33/1.44 % (12122)Memory used [KB]: 1535
% 2.33/1.44 % (12122)Time elapsed: 0.006 s
% 2.33/1.44 % (12122)Instructions burned: 17 (million)
% 2.33/1.44 % (12122)------------------------------
% 2.33/1.44 % (12122)------------------------------
% 2.33/1.44 % (12121)Instruction limit reached!
% 2.33/1.44 % (12121)------------------------------
% 2.33/1.44 % (12121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.44 % (12121)Termination reason: Unknown
% 2.33/1.44 % (12121)Termination phase: Function definition elimination
% 2.33/1.44
% 2.33/1.44 % (12121)Memory used [KB]: 1535
% 2.33/1.44 % (12121)Time elapsed: 0.011 s
% 2.33/1.44 % (12121)Instructions burned: 39 (million)
% 2.33/1.44 % (12121)------------------------------
% 2.33/1.44 % (12121)------------------------------
% 2.33/1.44 % (12124)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_11920 for (2999ds/1041Mi)
% 2.33/1.44 % (12125)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/7Mi)
% 2.33/1.44 % (12125)Instruction limit reached!
% 2.33/1.44 % (12125)------------------------------
% 2.33/1.44 % (12125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.44 % (12125)Termination reason: Unknown
% 2.33/1.44 % (12125)Termination phase: shuffling
% 2.33/1.44
% 2.33/1.44 % (12125)Memory used [KB]: 1279
% 2.33/1.44 % (12125)Time elapsed: 0.003 s
% 2.33/1.44 % (12125)Instructions burned: 7 (million)
% 2.33/1.44 % (12125)------------------------------
% 2.33/1.44 % (12125)------------------------------
% 2.33/1.44 % (12123)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_11920 for (2999ds/3Mi)
% 2.33/1.44 % (12123)Instruction limit reached!
% 2.33/1.44 % (12123)------------------------------
% 2.33/1.44 % (12123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.44 % (12123)Termination reason: Unknown
% 2.33/1.44 % (12123)Termination phase: shuffling
% 2.33/1.44
% 2.33/1.44 % (12123)Memory used [KB]: 1279
% 2.33/1.44 % (12123)Time elapsed: 0.004 s
% 2.33/1.44 % (12123)Instructions burned: 4 (million)
% 2.33/1.44 % (12123)------------------------------
% 2.33/1.44 % (12123)------------------------------
% 2.33/1.45 % (12132)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_11920 for (2999ds/3Mi)
% 2.33/1.45 % (12132)Instruction limit reached!
% 2.33/1.45 % (12132)------------------------------
% 2.33/1.45 % (12132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.45 % (12132)Termination reason: Unknown
% 2.33/1.45 % (12132)Termination phase: shuffling
% 2.33/1.45
% 2.33/1.45 % (12132)Memory used [KB]: 1151
% 2.33/1.45 % (12132)Time elapsed: 0.002 s
% 2.33/1.45 % (12132)Instructions burned: 4 (million)
% 2.33/1.45 % (12132)------------------------------
% 2.33/1.45 % (12132)------------------------------
% 2.33/1.45 % (12133)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_11920 for (2999ds/3Mi)
% 2.33/1.45 % (12133)Instruction limit reached!
% 2.33/1.45 % (12133)------------------------------
% 2.33/1.45 % (12133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.45 % (12133)Termination reason: Unknown
% 2.33/1.45 % (12133)Termination phase: shuffling
% 2.33/1.45
% 2.33/1.45 % (12133)Memory used [KB]: 1279
% 2.33/1.45 % (12133)Time elapsed: 0.003 s
% 2.33/1.45 % (12133)Instructions burned: 4 (million)
% 2.33/1.45 % (12133)------------------------------
% 2.33/1.45 % (12133)------------------------------
% 2.33/1.46 % (12135)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/3Mi)
% 2.33/1.46 % (12131)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/16Mi)
% 2.33/1.46 % (12135)Instruction limit reached!
% 2.33/1.46 % (12135)------------------------------
% 2.33/1.46 % (12135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.46 % (12135)Termination reason: Unknown
% 2.33/1.46 % (12135)Termination phase: shuffling
% 2.33/1.46
% 2.33/1.46 % (12135)Memory used [KB]: 1279
% 2.33/1.46 % (12135)Time elapsed: 0.002 s
% 2.33/1.46 % (12135)Instructions burned: 4 (million)
% 2.33/1.46 % (12135)------------------------------
% 2.33/1.46 % (12135)------------------------------
% 2.33/1.46 % (12134)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/7Mi)
% 2.33/1.47 % (12138)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/4Mi)
% 2.33/1.47 % (12146)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/18Mi)
% 2.33/1.47 % (12138)Instruction limit reached!
% 2.33/1.47 % (12138)------------------------------
% 2.33/1.47 % (12138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.47 % (12138)Termination reason: Unknown
% 2.33/1.47 % (12138)Termination phase: shuffling
% 2.33/1.47
% 2.33/1.47 % (12138)Memory used [KB]: 1151
% 2.33/1.47 % (12138)Time elapsed: 0.003 s
% 2.33/1.47 % (12138)Instructions burned: 4 (million)
% 2.33/1.47 % (12138)------------------------------
% 2.33/1.47 % (12138)------------------------------
% 2.33/1.47 % (12131)Instruction limit reached!
% 2.33/1.47 % (12131)------------------------------
% 2.33/1.47 % (12131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.47 % (12131)Termination reason: Unknown
% 2.33/1.47 % (12131)Termination phase: Property scanning
% 2.33/1.47
% 2.33/1.47 % (12131)Memory used [KB]: 1407
% 2.33/1.47 % (12131)Time elapsed: 0.015 s
% 2.33/1.47 % (12131)Instructions burned: 16 (million)
% 2.33/1.47 % (12131)------------------------------
% 2.33/1.47 % (12131)------------------------------
% 2.33/1.47 % (12134)Instruction limit reached!
% 2.33/1.47 % (12134)------------------------------
% 2.33/1.47 % (12134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.47 % (12134)Termination reason: Unknown
% 2.33/1.47 % (12134)Termination phase: shuffling
% 2.33/1.47
% 2.33/1.47 % (12134)Memory used [KB]: 1279
% 2.33/1.47 % (12134)Time elapsed: 0.008 s
% 2.33/1.47 % (12134)Instructions burned: 8 (million)
% 2.33/1.47 % (12134)------------------------------
% 2.33/1.47 % (12134)------------------------------
% 2.33/1.47 % (12146)Instruction limit reached!
% 2.33/1.47 % (12146)------------------------------
% 2.33/1.47 % (12146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.47 % (12146)Termination reason: Unknown
% 2.33/1.47 % (12146)Termination phase: Property scanning
% 2.33/1.47
% 2.33/1.47 % (12146)Memory used [KB]: 1407
% 2.33/1.47 % (12146)Time elapsed: 0.006 s
% 2.33/1.47 % (12146)Instructions burned: 19 (million)
% 2.33/1.47 % (12146)------------------------------
% 2.33/1.47 % (12146)------------------------------
% 2.33/1.48 % (12150)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_11920 for (2999ds/21Mi)
% 2.33/1.48 % (12113)Instruction limit reached!
% 2.33/1.48 % (12113)------------------------------
% 2.33/1.48 % (12113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.48 % (12113)Termination reason: Unknown
% 2.33/1.48 % (12113)Termination phase: Saturation
% 2.33/1.48
% 2.33/1.48 % (12113)Memory used [KB]: 6908
% 2.33/1.48 % (12113)Time elapsed: 0.071 s
% 2.33/1.48 % (12113)Instructions burned: 183 (million)
% 2.33/1.48 % (12113)------------------------------
% 2.33/1.48 % (12113)------------------------------
% 2.33/1.49 % (12147)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/710Mi)
% 2.33/1.49 % (12148)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/6Mi)
% 2.33/1.49 % (12150)Instruction limit reached!
% 2.33/1.49 % (12150)------------------------------
% 2.33/1.49 % (12150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.49 % (12150)Termination reason: Unknown
% 2.33/1.49 % (12150)Termination phase: Property scanning
% 2.33/1.49
% 2.33/1.49 % (12150)Memory used [KB]: 1407
% 2.33/1.49 % (12150)Time elapsed: 0.010 s
% 2.33/1.49 % (12150)Instructions burned: 21 (million)
% 2.33/1.49 % (12150)------------------------------
% 2.33/1.49 % (12150)------------------------------
% 2.33/1.49 % (12148)Instruction limit reached!
% 2.33/1.49 % (12148)------------------------------
% 2.33/1.49 % (12148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.49 % (12148)Termination reason: Unknown
% 2.33/1.49 % (12148)Termination phase: shuffling
% 2.33/1.49
% 2.33/1.49 % (12148)Memory used [KB]: 1279
% 2.33/1.49 % (12148)Time elapsed: 0.004 s
% 2.33/1.49 % (12148)Instructions burned: 8 (million)
% 2.33/1.49 % (12148)------------------------------
% 2.33/1.49 % (12148)------------------------------
% 2.33/1.49 % (12149)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_11920 for (2999ds/902Mi)
% 2.33/1.51 % (12157)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_11920 for (2999ds/6Mi)
% 2.33/1.51 % (12154)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/5Mi)
% 2.33/1.51 % (12158)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_11920 for (2999ds/377Mi)
% 2.33/1.51 % (12157)Instruction limit reached!
% 2.33/1.51 % (12157)------------------------------
% 2.33/1.51 % (12157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.51 % (12157)Termination reason: Unknown
% 2.33/1.51 % (12157)Termination phase: shuffling
% 2.33/1.51
% 2.33/1.51 % (12157)Memory used [KB]: 1279
% 2.33/1.51 % (12157)Time elapsed: 0.005 s
% 2.33/1.51 % (12157)Instructions burned: 6 (million)
% 2.33/1.51 % (12157)------------------------------
% 2.33/1.51 % (12157)------------------------------
% 2.33/1.51 % (12154)Instruction limit reached!
% 2.33/1.51 % (12154)------------------------------
% 2.33/1.51 % (12154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.51 % (12154)Termination reason: Unknown
% 2.33/1.51 % (12154)Termination phase: shuffling
% 2.33/1.51
% 2.33/1.51 % (12154)Memory used [KB]: 1279
% 2.33/1.51 % (12154)Time elapsed: 0.005 s
% 2.33/1.51 % (12154)Instructions burned: 6 (million)
% 2.33/1.51 % (12154)------------------------------
% 2.33/1.51 % (12154)------------------------------
% 2.33/1.52 % (12163)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_11920 for (2998ds/779Mi)
% 2.33/1.53 % (12164)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_11920 for (2998ds/19Mi)
% 2.33/1.53 % (12164)Instruction limit reached!
% 2.33/1.53 % (12164)------------------------------
% 2.33/1.53 % (12164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.53 % (12164)Termination reason: Unknown
% 2.33/1.53 % (12164)Termination phase: Property scanning
% 2.33/1.53
% 2.33/1.53 % (12164)Memory used [KB]: 1407
% 2.33/1.53 % (12164)Time elapsed: 0.007 s
% 2.33/1.53 % (12164)Instructions burned: 20 (million)
% 2.33/1.53 % (12164)------------------------------
% 2.33/1.53 % (12164)------------------------------
% 2.33/1.54 % (12166)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_11920 for (2998ds/879Mi)
% 2.33/1.57 % (12118)Instruction limit reached!
% 2.33/1.57 % (12118)------------------------------
% 2.33/1.57 % (12118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.57 % (12118)Termination reason: Unknown
% 2.33/1.57 % (12118)Termination phase: Saturation
% 2.33/1.57
% 2.33/1.57 % (12118)Memory used [KB]: 7675
% 2.33/1.57 % (12118)Time elapsed: 0.141 s
% 2.33/1.57 % (12118)Instructions burned: 275 (million)
% 2.33/1.57 % (12118)------------------------------
% 2.33/1.57 % (12118)------------------------------
% 2.33/1.58 % (12167)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_11920 for (2998ds/17Mi)
% 2.33/1.58 % (12167)Instruction limit reached!
% 2.33/1.58 % (12167)------------------------------
% 2.33/1.58 % (12167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.58 % (12167)Termination reason: Unknown
% 2.33/1.58 % (12167)Termination phase: Property scanning
% 2.33/1.58
% 2.33/1.58 % (12167)Memory used [KB]: 1407
% 2.33/1.58 % (12167)Time elapsed: 0.007 s
% 2.33/1.58 % (12167)Instructions burned: 20 (million)
% 2.33/1.58 % (12167)------------------------------
% 2.33/1.58 % (12167)------------------------------
% 2.33/1.59 % (12168)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_11920 for (2998ds/3Mi)
% 2.33/1.59 % (12168)Instruction limit reached!
% 2.33/1.59 % (12168)------------------------------
% 2.33/1.59 % (12168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.59 % (12168)Termination reason: Unknown
% 2.33/1.59 % (12168)Termination phase: shuffling
% 2.33/1.59
% 2.33/1.59 % (12168)Memory used [KB]: 1279
% 2.33/1.59 % (12168)Time elapsed: 0.003 s
% 2.33/1.59 % (12168)Instructions burned: 4 (million)
% 2.33/1.59 % (12168)------------------------------
% 2.33/1.59 % (12168)------------------------------
% 2.33/1.60 % (12169)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_11920 for (2998ds/30Mi)
% 2.33/1.61 % (12169)Instruction limit reached!
% 2.33/1.61 % (12169)------------------------------
% 2.33/1.61 % (12169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.61 % (12169)Termination reason: Unknown
% 2.33/1.61 % (12169)Termination phase: Property scanning
% 2.33/1.61
% 2.33/1.61 % (12169)Memory used [KB]: 1535
% 2.33/1.61 % (12169)Time elapsed: 0.011 s
% 2.33/1.61 % (12169)Instructions burned: 33 (million)
% 2.33/1.61 % (12169)------------------------------
% 2.33/1.61 % (12169)------------------------------
% 2.33/1.62 % (12172)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_11920 for (2997ds/127Mi)
% 2.33/1.63 % (12158)Instruction limit reached!
% 2.33/1.63 % (12158)------------------------------
% 2.33/1.63 % (12158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.63 % (12158)Termination reason: Unknown
% 2.33/1.63 % (12158)Termination phase: Saturation
% 2.33/1.63
% 2.33/1.63 % (12158)Memory used [KB]: 7164
% 2.33/1.63 % (12158)Time elapsed: 0.119 s
% 2.33/1.63 % (12158)Instructions burned: 378 (million)
% 2.33/1.63 % (12158)------------------------------
% 2.33/1.63 % (12158)------------------------------
% 2.33/1.64 % (12178)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_11920 for (2997ds/100Mi)
% 2.33/1.66 % (12172)Instruction limit reached!
% 2.33/1.66 % (12172)------------------------------
% 2.33/1.66 % (12172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.66 % (12172)Termination reason: Unknown
% 2.33/1.66 % (12172)Termination phase: Saturation
% 2.33/1.66
% 2.33/1.66 % (12172)Memory used [KB]: 6780
% 2.33/1.66 % (12172)Time elapsed: 0.041 s
% 2.33/1.66 % (12172)Instructions burned: 128 (million)
% 2.33/1.66 % (12172)------------------------------
% 2.33/1.66 % (12172)------------------------------
% 2.33/1.67 % (12178)Instruction limit reached!
% 2.33/1.67 % (12178)------------------------------
% 2.33/1.67 % (12178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.67 % (12178)Termination reason: Unknown
% 2.33/1.67 % (12178)Termination phase: Saturation
% 2.33/1.67
% 2.33/1.67 % (12178)Memory used [KB]: 6396
% 2.33/1.67 % (12178)Time elapsed: 0.031 s
% 2.33/1.67 % (12178)Instructions burned: 102 (million)
% 2.33/1.67 % (12178)------------------------------
% 2.33/1.67 % (12178)------------------------------
% 2.33/1.67 % (12194)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_11920 for (2997ds/3Mi)
% 2.33/1.67 % (12194)Instruction limit reached!
% 2.33/1.67 % (12194)------------------------------
% 2.33/1.67 % (12194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.67 % (12194)Termination reason: Unknown
% 2.33/1.67 % (12194)Termination phase: shuffling
% 2.33/1.67
% 2.33/1.67 % (12194)Memory used [KB]: 1279
% 2.33/1.67 % (12194)Time elapsed: 0.003 s
% 2.33/1.67 % (12194)Instructions burned: 4 (million)
% 2.33/1.67 % (12194)------------------------------
% 2.33/1.67 % (12194)------------------------------
% 2.33/1.68 % (12195)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_11920 for (2997ds/20Mi)
% 2.33/1.68 % (12195)Instruction limit reached!
% 2.33/1.68 % (12195)------------------------------
% 2.33/1.68 % (12195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.68 % (12195)Termination reason: Unknown
% 2.33/1.68 % (12195)Termination phase: Naming
% 2.33/1.68
% 2.33/1.68 % (12195)Memory used [KB]: 1407
% 2.33/1.68 % (12195)Time elapsed: 0.007 s
% 2.33/1.68 % (12195)Instructions burned: 21 (million)
% 2.33/1.68 % (12195)------------------------------
% 2.33/1.68 % (12195)------------------------------
% 2.33/1.68 % (12200)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_11920 for (2997ds/86Mi)
% 2.33/1.69 % (12203)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_11920 for (2997ds/107Mi)
% 2.33/1.69 % (12124)Instruction limit reached!
% 2.33/1.69 % (12124)------------------------------
% 2.33/1.69 % (12124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.69 % (12124)Termination reason: Unknown
% 2.33/1.69 % (12124)Termination phase: Saturation
% 2.33/1.69
% 2.33/1.69 % (12124)Memory used [KB]: 7803
% 2.33/1.69 % (12124)Time elapsed: 0.258 s
% 2.33/1.69 % (12124)Instructions burned: 1041 (million)
% 2.33/1.69 % (12124)------------------------------
% 2.33/1.69 % (12124)------------------------------
% 2.33/1.70 % (12212)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_11920 for (2997ds/39Mi)
% 2.33/1.71 % (12163)Instruction limit reached!
% 2.33/1.71 % (12163)------------------------------
% 2.33/1.71 % (12163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.71 % (12163)Termination reason: Unknown
% 2.33/1.71 % (12163)Termination phase: Saturation
% 2.33/1.71
% 2.33/1.71 % (12163)Memory used [KB]: 6780
% 2.33/1.71 % (12163)Time elapsed: 0.187 s
% 2.33/1.71 % (12163)Instructions burned: 781 (million)
% 2.33/1.71 % (12163)------------------------------
% 2.33/1.71 % (12163)------------------------------
% 2.33/1.71 % (12200)Instruction limit reached!
% 2.33/1.71 % (12200)------------------------------
% 2.33/1.71 % (12200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.71 % (12200)Termination reason: Unknown
% 2.33/1.71 % (12200)Termination phase: Saturation
% 2.33/1.71
% 2.33/1.71 % (12200)Memory used [KB]: 6524
% 2.33/1.71 % (12200)Time elapsed: 0.027 s
% 2.33/1.71 % (12200)Instructions burned: 88 (million)
% 2.33/1.71 % (12200)------------------------------
% 2.33/1.71 % (12200)------------------------------
% 2.33/1.71 % (12212)Instruction limit reached!
% 2.33/1.71 % (12212)------------------------------
% 2.33/1.71 % (12212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.71 % (12212)Termination reason: Unknown
% 2.33/1.71 % (12212)Termination phase: Property scanning
% 2.33/1.71
% 2.33/1.71 % (12212)Memory used [KB]: 1663
% 2.33/1.71 % (12212)Time elapsed: 0.012 s
% 2.33/1.71 % (12212)Instructions burned: 42 (million)
% 2.33/1.71 % (12212)------------------------------
% 2.33/1.71 % (12212)------------------------------
% 2.33/1.72 % (12217)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_11920 for (2997ds/448Mi)
% 2.33/1.72 % (12203)Instruction limit reached!
% 2.33/1.72 % (12203)------------------------------
% 2.33/1.72 % (12203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.72 % (12218)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_11920 for (2996ds/46Mi)
% 2.33/1.72 % (12203)Termination reason: Unknown
% 2.33/1.72 % (12203)Termination phase: Saturation
% 2.33/1.72
% 2.33/1.72 % (12203)Memory used [KB]: 6652
% 2.33/1.72 % (12203)Time elapsed: 0.030 s
% 2.33/1.72 % (12203)Instructions burned: 108 (million)
% 2.33/1.72 % (12203)------------------------------
% 2.33/1.72 % (12203)------------------------------
% 2.33/1.72 % (12147)Instruction limit reached!
% 2.33/1.72 % (12147)------------------------------
% 2.33/1.72 % (12147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.72 % (12147)Termination reason: Unknown
% 2.33/1.72 % (12147)Termination phase: Saturation
% 2.33/1.72
% 2.33/1.72 % (12147)Memory used [KB]: 8699
% 2.33/1.72 % (12147)Time elapsed: 0.238 s
% 2.33/1.72 % (12147)Instructions burned: 711 (million)
% 2.33/1.72 % (12147)------------------------------
% 2.33/1.72 % (12147)------------------------------
% 2.33/1.72 % (12221)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_11920 for (2996ds/98Mi)
% 2.33/1.73 % (12224)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_11920 for (2996ds/507Mi)
% 2.33/1.73 % (12226)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_11920 for (2996ds/149Mi)
% 2.33/1.73 % (12218)Instruction limit reached!
% 2.33/1.73 % (12218)------------------------------
% 2.33/1.73 % (12218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.73 % (12218)Termination reason: Unknown
% 2.33/1.73 % (12218)Termination phase: Twee Goal Transformation
% 2.33/1.73
% 2.33/1.73 % (12218)Memory used [KB]: 1535
% 2.33/1.73 % (12218)Time elapsed: 0.015 s
% 2.33/1.73 % (12218)Instructions burned: 48 (million)
% 2.33/1.73 % (12218)------------------------------
% 2.33/1.73 % (12218)------------------------------
% 2.33/1.74 % (12232)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_11920 for (2996ds/39Mi)
% 2.33/1.75 % (12221)Instruction limit reached!
% 2.33/1.75 % (12221)------------------------------
% 2.33/1.75 % (12221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.75 % (12221)Termination reason: Unknown
% 2.33/1.75 % (12221)Termination phase: Saturation
% 2.33/1.75
% 2.33/1.75 % (12221)Memory used [KB]: 1663
% 2.33/1.75 % (12221)Time elapsed: 0.026 s
% 2.33/1.75 % (12221)Instructions burned: 100 (million)
% 2.33/1.75 % (12221)------------------------------
% 2.33/1.75 % (12221)------------------------------
% 2.33/1.75 % (12232)Instruction limit reached!
% 2.33/1.75 % (12232)------------------------------
% 2.33/1.75 % (12232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.75 % (12232)Termination reason: Unknown
% 2.33/1.75 % (12232)Termination phase: Property scanning
% 2.33/1.75
% 2.33/1.75 % (12232)Memory used [KB]: 1535
% 2.33/1.75 % (12232)Time elapsed: 0.013 s
% 2.33/1.75 % (12232)Instructions burned: 40 (million)
% 2.33/1.75 % (12232)------------------------------
% 2.33/1.75 % (12232)------------------------------
% 2.33/1.76 % (12238)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_11920 for (2996ds/6Mi)
% 2.33/1.76 % (12238)Instruction limit reached!
% 2.33/1.76 % (12238)------------------------------
% 2.33/1.76 % (12238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.76 % (12238)Termination reason: Unknown
% 2.33/1.76 % (12238)Termination phase: shuffling
% 2.33/1.76
% 2.33/1.76 % (12238)Memory used [KB]: 1279
% 2.33/1.76 % (12238)Time elapsed: 0.003 s
% 2.33/1.76 % (12238)Instructions burned: 8 (million)
% 2.33/1.76 % (12238)------------------------------
% 2.33/1.76 % (12238)------------------------------
% 2.33/1.76 % (12241)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_11920 for (2996ds/1087Mi)
% 2.33/1.77 % (12242)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_11920 for (2996ds/47Mi)
% 2.33/1.78 % (12226)Instruction limit reached!
% 2.33/1.78 % (12226)------------------------------
% 2.33/1.78 % (12226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.78 % (12226)Termination reason: Unknown
% 2.33/1.78 % (12226)Termination phase: Saturation
% 2.33/1.78
% 2.33/1.78 % (12226)Memory used [KB]: 6780
% 2.33/1.78 % (12226)Time elapsed: 0.067 s
% 2.33/1.78 % (12226)Instructions burned: 149 (million)
% 2.33/1.78 % (12226)------------------------------
% 2.33/1.78 % (12226)------------------------------
% 2.33/1.78 % (12242)Instruction limit reached!
% 2.33/1.78 % (12242)------------------------------
% 2.33/1.78 % (12242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.78 % (12242)Termination reason: Unknown
% 2.33/1.78 % (12242)Termination phase: Saturation
% 2.33/1.78
% 2.33/1.78 % (12242)Memory used [KB]: 6012
% 2.33/1.78 % (12242)Time elapsed: 0.014 s
% 2.33/1.78 % (12242)Instructions burned: 49 (million)
% 2.33/1.78 % (12242)------------------------------
% 2.33/1.78 % (12242)------------------------------
% 2.33/1.79 % (12250)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_11920 for (2996ds/44Mi)
% 2.33/1.79 % (12253)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_11920 for (2996ds/432Mi)
% 2.33/1.80 % (12149)Instruction limit reached!
% 2.33/1.80 % (12149)------------------------------
% 2.33/1.80 % (12149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.80 % (12149)Termination reason: Unknown
% 2.33/1.80 % (12149)Termination phase: Saturation
% 2.33/1.80
% 2.33/1.80 % (12149)Memory used [KB]: 9466
% 2.33/1.80 % (12149)Time elapsed: 0.306 s
% 2.33/1.80 % (12149)Instructions burned: 902 (million)
% 2.33/1.80 % (12149)------------------------------
% 2.33/1.80 % (12149)------------------------------
% 2.33/1.80 % (12250)Instruction limit reached!
% 2.33/1.80 % (12250)------------------------------
% 2.33/1.80 % (12250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.80 % (12250)Termination reason: Unknown
% 2.33/1.80 % (12250)Termination phase: Function definition elimination
% 2.33/1.80
% 2.33/1.80 % (12250)Memory used [KB]: 1535
% 2.33/1.80 % (12250)Time elapsed: 0.012 s
% 2.33/1.80 % (12250)Instructions burned: 44 (million)
% 2.33/1.80 % (12250)------------------------------
% 2.33/1.80 % (12250)------------------------------
% 2.33/1.81 % (12257)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_11920 for (2995ds/31Mi)
% 2.33/1.81 % (12256)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_11920 for (2995ds/62Mi)
% 2.33/1.81 % (12257)Instruction limit reached!
% 2.33/1.81 % (12257)------------------------------
% 2.33/1.81 % (12257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.81 % (12257)Termination reason: Unknown
% 2.33/1.81 % (12257)Termination phase: Property scanning
% 2.33/1.81
% 2.33/1.81 % (12257)Memory used [KB]: 1535
% 2.33/1.81 % (12257)Time elapsed: 0.009 s
% 2.33/1.81 % (12257)Instructions burned: 31 (million)
% 2.33/1.81 % (12257)------------------------------
% 2.33/1.81 % (12257)------------------------------
% 2.33/1.81 % (12166)Instruction limit reached!
% 2.33/1.81 % (12166)------------------------------
% 2.33/1.81 % (12166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.81 % (12166)Termination reason: Unknown
% 2.33/1.81 % (12166)Termination phase: Saturation
% 2.33/1.81
% 2.33/1.81 % (12166)Memory used [KB]: 7931
% 2.33/1.81 % (12166)Time elapsed: 0.274 s
% 2.33/1.81 % (12166)Instructions burned: 879 (million)
% 2.33/1.81 % (12166)------------------------------
% 2.33/1.81 % (12166)------------------------------
% 2.33/1.82 % (12217)Instruction limit reached!
% 2.33/1.82 % (12217)------------------------------
% 2.33/1.82 % (12217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.82 % (12217)Termination reason: Unknown
% 2.33/1.82 % (12217)Termination phase: Saturation
% 2.33/1.82
% 2.33/1.82 % (12217)Memory used [KB]: 6396
% 2.33/1.82 % (12217)Time elapsed: 0.107 s
% 2.33/1.82 % (12217)Instructions burned: 451 (million)
% 2.33/1.82 % (12217)------------------------------
% 2.33/1.82 % (12217)------------------------------
% 2.33/1.82 % (12270)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_11920 for (2995ds/96Mi)
% 2.33/1.82 % (12256)Instruction limit reached!
% 2.33/1.82 % (12256)------------------------------
% 2.33/1.82 % (12256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.82 % (12256)Termination reason: Unknown
% 2.33/1.82 % (12256)Termination phase: Saturation
% 2.33/1.82
% 2.33/1.82 % (12256)Memory used [KB]: 6140
% 2.33/1.82 % (12256)Time elapsed: 0.019 s
% 2.33/1.82 % (12256)Instructions burned: 63 (million)
% 2.33/1.82 % (12256)------------------------------
% 2.33/1.82 % (12256)------------------------------
% 2.33/1.82 % (12272)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_11920 for (2995ds/453Mi)
% 2.33/1.83 % (12278)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_11920 for (2995ds/71Mi)
% 2.33/1.83 % (12279)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_11920 for (2995ds/83Mi)
% 2.33/1.85 % (12270)Instruction limit reached!
% 2.33/1.85 % (12270)------------------------------
% 2.33/1.85 % (12270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.85 % (12270)Termination reason: Unknown
% 2.33/1.85 % (12270)Termination phase: Saturation
% 2.33/1.85
% 2.33/1.85 % (12270)Memory used [KB]: 6524
% 2.33/1.85 % (12270)Time elapsed: 0.027 s
% 2.33/1.85 % (12270)Instructions burned: 96 (million)
% 2.33/1.85 % (12270)------------------------------
% 2.33/1.85 % (12270)------------------------------
% 2.33/1.85 % (12278)Instruction limit reached!
% 2.33/1.85 % (12278)------------------------------
% 2.33/1.85 % (12278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.85 % (12278)Termination reason: Unknown
% 2.33/1.85 % (12278)Termination phase: Saturation
% 2.33/1.85
% 2.33/1.85 % (12278)Memory used [KB]: 6268
% 2.33/1.85 % (12278)Time elapsed: 0.020 s
% 2.33/1.85 % (12278)Instructions burned: 71 (million)
% 2.33/1.85 % (12278)------------------------------
% 2.33/1.85 % (12278)------------------------------
% 2.33/1.86 % (12279)Instruction limit reached!
% 2.33/1.86 % (12279)------------------------------
% 2.33/1.86 % (12279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.86 % (12279)Termination reason: Unknown
% 2.33/1.86 % (12279)Termination phase: Saturation
% 2.33/1.86
% 2.33/1.86 % (12279)Memory used [KB]: 6268
% 2.33/1.86 % (12279)Time elapsed: 0.026 s
% 2.33/1.86 % (12279)Instructions burned: 86 (million)
% 2.33/1.86 % (12279)------------------------------
% 2.33/1.86 % (12279)------------------------------
% 2.33/1.86 % (12290)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_11920 for (2995ds/11Mi)
% 2.33/1.86 % (12293)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_11920 for (2995ds/41Mi)
% 2.33/1.86 % (12290)Instruction limit reached!
% 2.33/1.86 % (12290)------------------------------
% 2.33/1.86 % (12290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.86 % (12290)Termination reason: Unknown
% 2.33/1.86 % (12290)Termination phase: shuffling
% 2.33/1.86
% 2.33/1.86 % (12290)Memory used [KB]: 1407
% 2.33/1.86 % (12290)Time elapsed: 0.004 s
% 2.33/1.86 % (12290)Instructions burned: 11 (million)
% 2.33/1.86 % (12290)------------------------------
% 2.33/1.86 % (12290)------------------------------
% 2.33/1.87 % (12299)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_11920 for (2995ds/6Mi)
% 2.33/1.87 % (12299)Instruction limit reached!
% 2.33/1.87 % (12299)------------------------------
% 2.33/1.87 % (12299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.87 % (12299)Termination reason: Unknown
% 2.33/1.87 % (12299)Termination phase: shuffling
% 2.33/1.87
% 2.33/1.87 % (12299)Memory used [KB]: 1279
% 2.33/1.87 % (12299)Time elapsed: 0.003 s
% 2.33/1.87 % (12299)Instructions burned: 8 (million)
% 2.33/1.87 % (12299)------------------------------
% 2.33/1.87 % (12299)------------------------------
% 2.33/1.87 % (12301)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_11920 for (2995ds/150Mi)
% 2.33/1.87 % (12293)Instruction limit reached!
% 2.33/1.87 % (12293)------------------------------
% 2.33/1.87 % (12293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.87 % (12293)Termination reason: Unknown
% 2.33/1.87 % (12293)Termination phase: Property scanning
% 2.33/1.87
% 2.33/1.87 % (12293)Memory used [KB]: 1663
% 2.33/1.87 % (12293)Time elapsed: 0.012 s
% 2.33/1.87 % (12293)Instructions burned: 44 (million)
% 2.33/1.87 % (12293)------------------------------
% 2.33/1.87 % (12293)------------------------------
% 2.33/1.88 % (12307)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_11920 for (2995ds/343Mi)
% 2.33/1.88 % (12224)Instruction limit reached!
% 2.33/1.88 % (12224)------------------------------
% 2.33/1.88 % (12224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.88 % (12224)Termination reason: Unknown
% 2.33/1.88 % (12224)Termination phase: Saturation
% 2.33/1.88
% 2.33/1.88 % (12224)Memory used [KB]: 7036
% 2.33/1.88 % (12224)Time elapsed: 0.153 s
% 2.33/1.88 % (12224)Instructions burned: 507 (million)
% 2.33/1.88 % (12224)------------------------------
% 2.33/1.88 % (12224)------------------------------
% 2.33/1.88 % (12310)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_11920 for (2995ds/109Mi)
% 2.33/1.89 % (12311)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_11920 for (2995ds/253Mi)
% 2.33/1.90 % (12253)Instruction limit reached!
% 2.33/1.90 % (12253)------------------------------
% 2.33/1.90 % (12253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.90 % (12253)Termination reason: Unknown
% 2.33/1.90 % (12253)Termination phase: Saturation
% 2.33/1.90
% 2.33/1.90 % (12253)Memory used [KB]: 2686
% 2.33/1.90 % (12253)Time elapsed: 0.109 s
% 2.33/1.90 % (12253)Instructions burned: 432 (million)
% 2.33/1.90 % (12253)------------------------------
% 2.33/1.90 % (12253)------------------------------
% 2.33/1.91 % (12323)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_11920 for (2994ds/140Mi)
% 2.33/1.91 % (12310)Instruction limit reached!
% 2.33/1.91 % (12310)------------------------------
% 2.33/1.91 % (12310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.91 % (12310)Termination reason: Unknown
% 2.33/1.91 % (12310)Termination phase: Saturation
% 2.33/1.91
% 2.33/1.91 % (12310)Memory used [KB]: 6652
% 2.33/1.91 % (12310)Time elapsed: 0.031 s
% 2.33/1.91 % (12310)Instructions burned: 111 (million)
% 2.33/1.91 % (12310)------------------------------
% 2.33/1.91 % (12310)------------------------------
% 2.33/1.92 % (12301)Instruction limit reached!
% 2.33/1.92 % (12301)------------------------------
% 2.33/1.92 % (12301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.92 % (12301)Termination reason: Unknown
% 2.33/1.92 % (12301)Termination phase: Saturation
% 2.33/1.92
% 2.33/1.92 % (12301)Memory used [KB]: 7291
% 2.33/1.92 % (12301)Time elapsed: 0.047 s
% 2.33/1.92 % (12301)Instructions burned: 152 (million)
% 2.33/1.92 % (12301)------------------------------
% 2.33/1.92 % (12301)------------------------------
% 2.33/1.92 % (12328)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_11920 for (2994ds/614Mi)
% 2.33/1.93 % (12331)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_11920 for (2994ds/202Mi)
% 2.33/1.94 % (12272)Instruction limit reached!
% 2.33/1.94 % (12272)------------------------------
% 2.33/1.94 % (12272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.94 % (12272)Termination reason: Unknown
% 2.33/1.94 % (12272)Termination phase: Saturation
% 2.33/1.94
% 2.33/1.94 % (12272)Memory used [KB]: 6268
% 2.33/1.94 % (12272)Time elapsed: 0.112 s
% 2.33/1.94 % (12272)Instructions burned: 453 (million)
% 2.33/1.94 % (12272)------------------------------
% 2.33/1.94 % (12272)------------------------------
% 2.33/1.94 % (12341)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_11920 for (2994ds/339Mi)
% 2.33/1.95 % (12323)Refutation not found, incomplete strategy
% 2.33/1.95 % (12323)------------------------------
% 2.33/1.95 % (12323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.95 % (12323)Termination reason: Refutation not found, incomplete strategy
% 2.33/1.95
% 2.33/1.95
% 2.33/1.95 % (12323)Memory used [KB]: 6140
% 2.33/1.95 % (12323)Time elapsed: 0.037 s
% 2.33/1.95 % (12323)Instructions burned: 130 (million)
% 2.33/1.95 % (12323)------------------------------
% 2.33/1.95 % (12323)------------------------------
% 2.33/1.96 % (12346)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_11920 for (2994ds/283Mi)
% 2.33/1.97 % (12311)Instruction limit reached!
% 2.33/1.97 % (12311)------------------------------
% 2.33/1.97 % (12311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.97 % (12311)Termination reason: Unknown
% 2.33/1.97 % (12311)Termination phase: Saturation
% 2.33/1.97
% 2.33/1.97 % (12311)Memory used [KB]: 7675
% 2.33/1.97 % (12311)Time elapsed: 0.080 s
% 2.33/1.97 % (12311)Instructions burned: 254 (million)
% 2.33/1.97 % (12311)------------------------------
% 2.33/1.97 % (12311)------------------------------
% 2.33/1.98 % (12355)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_11920 for (2994ds/134Mi)
% 2.33/1.98 % (12307)Instruction limit reached!
% 2.33/1.98 % (12307)------------------------------
% 2.33/1.98 % (12307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.98 % (12307)Termination reason: Unknown
% 2.33/1.98 % (12307)Termination phase: Saturation
% 2.33/1.98
% 2.33/1.98 % (12307)Memory used [KB]: 7164
% 2.33/1.98 % (12307)Time elapsed: 0.105 s
% 2.33/1.98 % (12307)Instructions burned: 343 (million)
% 2.33/1.98 % (12307)------------------------------
% 2.33/1.98 % (12307)------------------------------
% 2.33/1.99 % (12331)Instruction limit reached!
% 2.33/1.99 % (12331)------------------------------
% 2.33/1.99 % (12331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/1.99 % (12331)Termination reason: Unknown
% 2.33/1.99 % (12331)Termination phase: Saturation
% 2.33/1.99
% 2.33/1.99 % (12331)Memory used [KB]: 7675
% 2.33/1.99 % (12331)Time elapsed: 0.064 s
% 2.33/1.99 % (12331)Instructions burned: 203 (million)
% 2.33/1.99 % (12331)------------------------------
% 2.33/1.99 % (12331)------------------------------
% 2.33/1.99 % (12359)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_11920 for (2994ds/298Mi)
% 2.33/2.00 % (12363)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_11920 for (2994ds/192Mi)
% 2.33/2.02 % (12355)Instruction limit reached!
% 2.33/2.02 % (12355)------------------------------
% 2.33/2.02 % (12355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.33/2.02 % (12355)Termination reason: Unknown
% 2.33/2.02 % (12355)Termination phase: Saturation
% 2.33/2.02
% 2.33/2.02 % (12355)Memory used [KB]: 6908
% 2.33/2.02 % (12355)Time elapsed: 0.039 s
% 2.33/2.02 % (12355)Instructions burned: 135 (million)
% 2.33/2.02 % (12355)------------------------------
% 2.33/2.02 % (12355)------------------------------
% 6.60/2.03 % (12346)Instruction limit reached!
% 6.60/2.03 % (12346)------------------------------
% 6.60/2.03 % (12346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.03 % (12346)Termination reason: Unknown
% 6.60/2.03 % (12346)Termination phase: Saturation
% 6.60/2.03
% 6.60/2.03 % (12346)Memory used [KB]: 8315
% 6.60/2.03 % (12346)Time elapsed: 0.072 s
% 6.60/2.03 % (12346)Instructions burned: 283 (million)
% 6.60/2.03 % (12346)------------------------------
% 6.60/2.03 % (12346)------------------------------
% 6.60/2.03 % (12375)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_11920 for (2993ds/258Mi)
% 6.60/2.04 % (12378)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_11920 for (2993ds/90Mi)
% 6.60/2.04 % (12341)Instruction limit reached!
% 6.60/2.04 % (12341)------------------------------
% 6.60/2.04 % (12341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.04 % (12341)Termination reason: Unknown
% 6.60/2.04 % (12341)Termination phase: Saturation
% 6.60/2.04
% 6.60/2.04 % (12341)Memory used [KB]: 7547
% 6.60/2.04 % (12341)Time elapsed: 0.101 s
% 6.60/2.04 % (12341)Instructions burned: 341 (million)
% 6.60/2.04 % (12341)------------------------------
% 6.60/2.04 % (12341)------------------------------
% 6.60/2.05 % (12383)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_11920 for (2993ds/231Mi)
% 6.60/2.06 % (12363)Instruction limit reached!
% 6.60/2.06 % (12363)------------------------------
% 6.60/2.06 % (12363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.06 % (12363)Termination reason: Unknown
% 6.60/2.06 % (12363)Termination phase: Saturation
% 6.60/2.06
% 6.60/2.06 % (12363)Memory used [KB]: 7036
% 6.60/2.06 % (12363)Time elapsed: 0.057 s
% 6.60/2.06 % (12363)Instructions burned: 192 (million)
% 6.60/2.06 % (12363)------------------------------
% 6.60/2.06 % (12363)------------------------------
% 6.60/2.06 % (12378)Instruction limit reached!
% 6.60/2.06 % (12378)------------------------------
% 6.60/2.06 % (12378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.06 % (12378)Termination reason: Unknown
% 6.60/2.06 % (12378)Termination phase: Saturation
% 6.60/2.06
% 6.60/2.06 % (12378)Memory used [KB]: 6524
% 6.60/2.06 % (12378)Time elapsed: 0.026 s
% 6.60/2.06 % (12378)Instructions burned: 92 (million)
% 6.60/2.06 % (12378)------------------------------
% 6.60/2.06 % (12378)------------------------------
% 6.60/2.06 % (12387)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_11920 for (2993ds/458Mi)
% 6.60/2.07 % (12359)Instruction limit reached!
% 6.60/2.07 % (12359)------------------------------
% 6.60/2.07 % (12359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.07 % (12359)Termination reason: Unknown
% 6.60/2.07 % (12359)Termination phase: Saturation
% 6.60/2.07
% 6.60/2.07 % (12359)Memory used [KB]: 6396
% 6.60/2.07 % (12359)Time elapsed: 0.077 s
% 6.60/2.07 % (12359)Instructions burned: 301 (million)
% 6.60/2.07 % (12359)------------------------------
% 6.60/2.07 % (12359)------------------------------
% 6.60/2.07 % (12388)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_11920 for (2993ds/31Mi)
% 6.60/2.08 % (12392)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_11920 for (2993ds/297Mi)
% 6.60/2.08 % (12388)Instruction limit reached!
% 6.60/2.08 % (12388)------------------------------
% 6.60/2.08 % (12388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.08 % (12388)Termination reason: Unknown
% 6.60/2.08 % (12388)Termination phase: Property scanning
% 6.60/2.08
% 6.60/2.08 % (12388)Memory used [KB]: 1535
% 6.60/2.08 % (12388)Time elapsed: 0.009 s
% 6.60/2.08 % (12388)Instructions burned: 31 (million)
% 6.60/2.08 % (12388)------------------------------
% 6.60/2.08 % (12388)------------------------------
% 6.60/2.09 % (12398)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_11920 for (2993ds/987Mi)
% 6.60/2.10 % (12375)Instruction limit reached!
% 6.60/2.10 % (12375)------------------------------
% 6.60/2.10 % (12375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.10 % (12375)Termination reason: Unknown
% 6.60/2.10 % (12375)Termination phase: Saturation
% 6.60/2.10
% 6.60/2.10 % (12375)Memory used [KB]: 7036
% 6.60/2.10 % (12375)Time elapsed: 0.103 s
% 6.60/2.10 % (12375)Instructions burned: 260 (million)
% 6.60/2.10 % (12375)------------------------------
% 6.60/2.10 % (12375)------------------------------
% 6.60/2.11 % (12328)Instruction limit reached!
% 6.60/2.11 % (12328)------------------------------
% 6.60/2.11 % (12328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.11 % (12328)Termination reason: Unknown
% 6.60/2.11 % (12328)Termination phase: Saturation
% 6.60/2.11
% 6.60/2.11 % (12328)Memory used [KB]: 8059
% 6.60/2.11 % (12328)Time elapsed: 0.190 s
% 6.60/2.11 % (12328)Instructions burned: 615 (million)
% 6.60/2.11 % (12328)------------------------------
% 6.60/2.11 % (12328)------------------------------
% 6.60/2.11 % (12405)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_11920 for (2992ds/182Mi)
% 6.60/2.12 % (12409)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_11920 for (2992ds/182Mi)
% 6.60/2.12 % (12241)Instruction limit reached!
% 6.60/2.12 % (12241)------------------------------
% 6.60/2.12 % (12241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.12 % (12241)Termination reason: Unknown
% 6.60/2.12 % (12241)Termination phase: Saturation
% 6.60/2.12
% 6.60/2.12 % (12241)Memory used [KB]: 9850
% 6.60/2.12 % (12241)Time elapsed: 0.380 s
% 6.60/2.12 % (12241)Instructions burned: 1089 (million)
% 6.60/2.12 % (12241)------------------------------
% 6.60/2.12 % (12241)------------------------------
% 6.60/2.12 % (12383)Instruction limit reached!
% 6.60/2.12 % (12383)------------------------------
% 6.60/2.12 % (12383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.12 % (12383)Termination reason: Unknown
% 6.60/2.12 % (12383)Termination phase: Saturation
% 6.60/2.12
% 6.60/2.12 % (12383)Memory used [KB]: 9466
% 6.60/2.12 % (12383)Time elapsed: 0.069 s
% 6.60/2.12 % (12383)Instructions burned: 233 (million)
% 6.60/2.12 % (12383)------------------------------
% 6.60/2.12 % (12383)------------------------------
% 7.15/2.13 % (12411)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_11920 for (2992ds/154Mi)
% 7.15/2.13 % (12412)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_11920 for (2992ds/79Mi)
% 7.15/2.15 % (12392)Instruction limit reached!
% 7.15/2.15 % (12392)------------------------------
% 7.15/2.15 % (12392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.15 % (12392)Termination reason: Unknown
% 7.15/2.15 % (12392)Termination phase: Saturation
% 7.15/2.15
% 7.15/2.15 % (12392)Memory used [KB]: 7419
% 7.15/2.15 % (12392)Time elapsed: 0.076 s
% 7.15/2.15 % (12392)Instructions burned: 300 (million)
% 7.15/2.15 % (12392)------------------------------
% 7.15/2.15 % (12392)------------------------------
% 7.15/2.15 % (12412)Instruction limit reached!
% 7.15/2.15 % (12412)------------------------------
% 7.15/2.15 % (12412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.15 % (12412)Termination reason: Unknown
% 7.15/2.15 % (12412)Termination phase: Saturation
% 7.15/2.15
% 7.15/2.15 % (12412)Memory used [KB]: 6396
% 7.15/2.15 % (12412)Time elapsed: 0.023 s
% 7.15/2.15 % (12412)Instructions burned: 82 (million)
% 7.15/2.15 % (12412)------------------------------
% 7.15/2.15 % (12412)------------------------------
% 7.15/2.16 % (12430)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_11920 for (2992ds/216Mi)
% 7.15/2.16 % (12431)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_11920 for (2992ds/114Mi)
% 7.15/2.17 % (12405)Instruction limit reached!
% 7.15/2.17 % (12405)------------------------------
% 7.15/2.17 % (12405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.17 % (12405)Termination reason: Unknown
% 7.15/2.17 % (12405)Termination phase: Saturation
% 7.15/2.17
% 7.15/2.17 % (12405)Memory used [KB]: 6908
% 7.15/2.17 % (12405)Time elapsed: 0.054 s
% 7.15/2.17 % (12405)Instructions burned: 183 (million)
% 7.15/2.17 % (12405)------------------------------
% 7.15/2.17 % (12405)------------------------------
% 7.15/2.17 % (12411)Instruction limit reached!
% 7.15/2.17 % (12411)------------------------------
% 7.15/2.17 % (12411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.17 % (12411)Termination reason: Unknown
% 7.15/2.17 % (12411)Termination phase: Saturation
% 7.15/2.17
% 7.15/2.17 % (12411)Memory used [KB]: 6268
% 7.15/2.17 % (12411)Time elapsed: 0.039 s
% 7.15/2.17 % (12411)Instructions burned: 155 (million)
% 7.15/2.17 % (12411)------------------------------
% 7.15/2.17 % (12411)------------------------------
% 7.15/2.18 % (12439)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_11920 for (2992ds/922Mi)
% 7.15/2.18 % (12409)Instruction limit reached!
% 7.15/2.18 % (12409)------------------------------
% 7.15/2.18 % (12409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.18 % (12409)Termination reason: Unknown
% 7.15/2.18 % (12409)Termination phase: Saturation
% 7.15/2.18
% 7.15/2.18 % (12409)Memory used [KB]: 8827
% 7.15/2.18 % (12409)Time elapsed: 0.059 s
% 7.15/2.18 % (12409)Instructions burned: 184 (million)
% 7.15/2.18 % (12409)------------------------------
% 7.15/2.18 % (12409)------------------------------
% 7.15/2.18 % (12442)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_11920 for (2992ds/182Mi)
% 7.15/2.19 % (12448)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_11920 for (2992ds/164Mi)
% 7.15/2.19 % (12431)Instruction limit reached!
% 7.15/2.19 % (12431)------------------------------
% 7.15/2.19 % (12431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.19 % (12431)Termination reason: Unknown
% 7.15/2.19 % (12431)Termination phase: Saturation
% 7.15/2.19
% 7.15/2.19 % (12431)Memory used [KB]: 6652
% 7.15/2.19 % (12431)Time elapsed: 0.032 s
% 7.15/2.19 % (12431)Instructions burned: 114 (million)
% 7.15/2.19 % (12431)------------------------------
% 7.15/2.19 % (12431)------------------------------
% 7.50/2.20 % (12452)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_11920 for (2992ds/50Mi)
% 7.50/2.21 % (12387)Instruction limit reached!
% 7.50/2.21 % (12387)------------------------------
% 7.50/2.21 % (12387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.21 % (12387)Termination reason: Unknown
% 7.50/2.21 % (12387)Termination phase: Saturation
% 7.50/2.21
% 7.50/2.21 % (12387)Memory used [KB]: 7291
% 7.50/2.21 % (12387)Time elapsed: 0.142 s
% 7.50/2.21 % (12387)Instructions burned: 460 (million)
% 7.50/2.21 % (12387)------------------------------
% 7.50/2.21 % (12387)------------------------------
% 7.50/2.22 % (12458)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_11920 for (2991ds/368Mi)
% 7.50/2.22 % (12430)Instruction limit reached!
% 7.50/2.22 % (12430)------------------------------
% 7.50/2.22 % (12430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.22 % (12430)Termination reason: Unknown
% 7.50/2.22 % (12430)Termination phase: Saturation
% 7.50/2.22
% 7.50/2.22 % (12430)Memory used [KB]: 6908
% 7.50/2.22 % (12430)Time elapsed: 0.054 s
% 7.50/2.22 % (12430)Instructions burned: 216 (million)
% 7.50/2.22 % (12430)------------------------------
% 7.50/2.22 % (12430)------------------------------
% 7.50/2.22 % (12452)Instruction limit reached!
% 7.50/2.22 % (12452)------------------------------
% 7.50/2.22 % (12452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.22 % (12452)Termination reason: Unknown
% 7.50/2.22 % (12452)Termination phase: Saturation
% 7.50/2.22
% 7.50/2.22 % (12452)Memory used [KB]: 10618
% 7.50/2.22 % (12452)Time elapsed: 0.014 s
% 7.50/2.22 % (12452)Instructions burned: 52 (million)
% 7.50/2.22 % (12452)------------------------------
% 7.50/2.22 % (12452)------------------------------
% 7.50/2.22 % (12442)Instruction limit reached!
% 7.50/2.22 % (12442)------------------------------
% 7.50/2.22 % (12442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.22 % (12442)Termination reason: Unknown
% 7.50/2.22 % (12442)Termination phase: Saturation
% 7.50/2.22
% 7.50/2.22 % (12442)Memory used [KB]: 6268
% 7.50/2.22 % (12442)Time elapsed: 0.046 s
% 7.50/2.22 % (12442)Instructions burned: 183 (million)
% 7.50/2.22 % (12442)------------------------------
% 7.50/2.22 % (12442)------------------------------
% 7.50/2.23 % (12459)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_11920 for (2991ds/1021Mi)
% 7.50/2.23 % (12460)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_11920 for (2991ds/267Mi)
% 7.50/2.23 % (12461)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_11920 for (2991ds/204Mi)
% 7.50/2.23 % (12448)Instruction limit reached!
% 7.50/2.23 % (12448)------------------------------
% 7.50/2.23 % (12448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.23 % (12448)Termination reason: Unknown
% 7.50/2.23 % (12448)Termination phase: Saturation
% 7.50/2.23
% 7.50/2.23 % (12448)Memory used [KB]: 1918
% 7.50/2.23 % (12448)Time elapsed: 0.048 s
% 7.50/2.23 % (12448)Instructions burned: 166 (million)
% 7.50/2.23 % (12448)------------------------------
% 7.50/2.23 % (12448)------------------------------
% 7.50/2.24 % (12462)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_11920 for (2991ds/26Mi)
% 7.50/2.25 % (12462)Instruction limit reached!
% 7.50/2.25 % (12462)------------------------------
% 7.50/2.25 % (12462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.25 % (12462)Termination reason: Unknown
% 7.50/2.25 % (12462)Termination phase: Property scanning
% 7.50/2.25
% 7.50/2.25 % (12462)Memory used [KB]: 1535
% 7.50/2.25 % (12462)Time elapsed: 0.008 s
% 7.50/2.25 % (12462)Instructions burned: 27 (million)
% 7.50/2.25 % (12462)------------------------------
% 7.50/2.25 % (12462)------------------------------
% 7.50/2.26 % (12463)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_11920 for (2991ds/53Mi)
% 7.50/2.28 % (12463)Instruction limit reached!
% 7.50/2.28 % (12463)------------------------------
% 7.50/2.28 % (12463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.28 % (12463)Termination reason: Unknown
% 7.50/2.28 % (12463)Termination phase: Saturation
% 7.50/2.28
% 7.50/2.28 % (12463)Memory used [KB]: 6140
% 7.50/2.28 % (12463)Time elapsed: 0.016 s
% 7.50/2.28 % (12463)Instructions burned: 56 (million)
% 7.50/2.28 % (12463)------------------------------
% 7.50/2.28 % (12463)------------------------------
% 7.50/2.28 % (12464)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_11920 for (2991ds/4436Mi)
% 7.50/2.29 % (12460)Instruction limit reached!
% 7.50/2.29 % (12460)------------------------------
% 7.50/2.29 % (12460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.29 % (12460)Termination reason: Unknown
% 7.50/2.29 % (12460)Termination phase: Saturation
% 7.50/2.29
% 7.50/2.29 % (12460)Memory used [KB]: 8187
% 7.50/2.29 % (12460)Time elapsed: 0.068 s
% 7.50/2.29 % (12460)Instructions burned: 267 (million)
% 7.50/2.29 % (12460)------------------------------
% 7.50/2.29 % (12460)------------------------------
% 7.50/2.29 % (12461)Instruction limit reached!
% 7.50/2.29 % (12461)------------------------------
% 7.50/2.29 % (12461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.29 % (12461)Termination reason: Unknown
% 7.50/2.29 % (12461)Termination phase: Saturation
% 7.50/2.29
% 7.50/2.29 % (12461)Memory used [KB]: 6908
% 7.50/2.29 % (12461)Time elapsed: 0.062 s
% 7.50/2.29 % (12461)Instructions burned: 206 (million)
% 7.50/2.29 % (12461)------------------------------
% 7.50/2.29 % (12461)------------------------------
% 8.03/2.30 % (12465)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_11920 for (2991ds/1539Mi)
% 8.03/2.30 % (12466)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_11920 for (2991ds/408Mi)
% 8.03/2.32 % (12398)Instruction limit reached!
% 8.03/2.32 % (12398)------------------------------
% 8.03/2.32 % (12398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.32 % (12398)Termination reason: Unknown
% 8.03/2.32 % (12398)Termination phase: Saturation
% 8.03/2.32
% 8.03/2.32 % (12398)Memory used [KB]: 8059
% 8.03/2.32 % (12398)Time elapsed: 0.237 s
% 8.03/2.32 % (12398)Instructions burned: 989 (million)
% 8.03/2.32 % (12398)------------------------------
% 8.03/2.32 % (12398)------------------------------
% 8.03/2.33 % (12458)Instruction limit reached!
% 8.03/2.33 % (12458)------------------------------
% 8.03/2.33 % (12458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.33 % (12458)Termination reason: Unknown
% 8.03/2.33 % (12458)Termination phase: Saturation
% 8.03/2.33
% 8.03/2.33 % (12458)Memory used [KB]: 7419
% 8.03/2.33 % (12458)Time elapsed: 0.115 s
% 8.03/2.33 % (12458)Instructions burned: 370 (million)
% 8.03/2.33 % (12458)------------------------------
% 8.03/2.33 % (12458)------------------------------
% 8.03/2.33 % (12467)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_11920 for (2990ds/5205Mi)
% 8.03/2.34 % (12468)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_11920 for (2990ds/1913Mi)
% 8.40/2.43 % (12466)Instruction limit reached!
% 8.40/2.43 % (12466)------------------------------
% 8.40/2.43 % (12466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.40/2.43 % (12466)Termination reason: Unknown
% 8.40/2.43 % (12466)Termination phase: Saturation
% 8.40/2.43
% 8.40/2.43 % (12466)Memory used [KB]: 8955
% 8.40/2.43 % (12466)Time elapsed: 0.130 s
% 8.40/2.43 % (12466)Instructions burned: 410 (million)
% 8.40/2.43 % (12466)------------------------------
% 8.40/2.43 % (12466)------------------------------
% 8.40/2.44 % (12469)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_11920 for (2989ds/4350Mi)
% 8.40/2.46 % (12439)Instruction limit reached!
% 8.40/2.46 % (12439)------------------------------
% 8.40/2.46 % (12439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.40/2.46 % (12439)Termination reason: Unknown
% 8.40/2.46 % (12439)Termination phase: Saturation
% 8.40/2.46
% 8.40/2.46 % (12439)Memory used [KB]: 9083
% 8.40/2.46 % (12439)Time elapsed: 0.289 s
% 8.40/2.46 % (12439)Instructions burned: 922 (million)
% 8.40/2.46 % (12439)------------------------------
% 8.40/2.46 % (12439)------------------------------
% 8.40/2.47 % (12470)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_11920 for (2989ds/68Mi)
% 8.40/2.49 % (12470)Instruction limit reached!
% 8.40/2.49 % (12470)------------------------------
% 8.40/2.49 % (12470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.40/2.49 % (12470)Termination reason: Unknown
% 8.40/2.49 % (12470)Termination phase: Saturation
% 8.40/2.49
% 8.40/2.49 % (12470)Memory used [KB]: 6268
% 8.40/2.49 % (12470)Time elapsed: 0.019 s
% 8.40/2.49 % (12470)Instructions burned: 69 (million)
% 8.40/2.49 % (12470)------------------------------
% 8.40/2.49 % (12470)------------------------------
% 8.87/2.50 % (12471)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_11920 for (2989ds/358Mi)
% 8.87/2.54 % (12459)Instruction limit reached!
% 8.87/2.54 % (12459)------------------------------
% 8.87/2.54 % (12459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.87/2.54 % (12459)Termination reason: Unknown
% 8.87/2.54 % (12459)Termination phase: Saturation
% 8.87/2.54
% 8.87/2.54 % (12459)Memory used [KB]: 9466
% 8.87/2.54 % (12459)Time elapsed: 0.319 s
% 8.87/2.54 % (12459)Instructions burned: 1024 (million)
% 8.87/2.54 % (12459)------------------------------
% 8.87/2.54 % (12459)------------------------------
% 8.87/2.55 % (12472)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_11920 for (2988ds/31Mi)
% 8.87/2.56 % (12472)Instruction limit reached!
% 8.87/2.56 % (12472)------------------------------
% 8.87/2.56 % (12472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.87/2.56 % (12472)Termination reason: Unknown
% 8.87/2.56 % (12472)Termination phase: Property scanning
% 8.87/2.56
% 8.87/2.56 % (12472)Memory used [KB]: 1535
% 8.87/2.56 % (12472)Time elapsed: 0.010 s
% 8.87/2.56 % (12472)Instructions burned: 35 (million)
% 8.87/2.56 % (12472)------------------------------
% 8.87/2.56 % (12472)------------------------------
% 8.87/2.57 % (12473)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_11920 for (2988ds/279Mi)
% 9.22/2.61 % (12471)Instruction limit reached!
% 9.22/2.61 % (12471)------------------------------
% 9.22/2.61 % (12471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.22/2.61 % (12471)Termination reason: Unknown
% 9.22/2.61 % (12471)Termination phase: Saturation
% 9.22/2.61
% 9.22/2.61 % (12471)Memory used [KB]: 7164
% 9.22/2.61 % (12471)Time elapsed: 0.109 s
% 9.22/2.61 % (12471)Instructions burned: 360 (million)
% 9.22/2.61 % (12471)------------------------------
% 9.22/2.61 % (12471)------------------------------
% 9.22/2.62 % (12474)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_11920 for (2988ds/258Mi)
% 9.22/2.64 % (12473)Instruction limit reached!
% 9.22/2.64 % (12473)------------------------------
% 9.22/2.64 % (12473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.22/2.64 % (12473)Termination reason: Unknown
% 9.22/2.64 % (12473)Termination phase: Saturation
% 9.22/2.64
% 9.22/2.64 % (12473)Memory used [KB]: 6396
% 9.22/2.64 % (12473)Time elapsed: 0.070 s
% 9.22/2.64 % (12473)Instructions burned: 282 (million)
% 9.22/2.64 % (12473)------------------------------
% 9.22/2.64 % (12473)------------------------------
% 9.22/2.65 % (12475)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_11920 for (2987ds/26Mi)
% 9.22/2.66 % (12475)Instruction limit reached!
% 9.22/2.66 % (12475)------------------------------
% 9.22/2.66 % (12475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.22/2.66 % (12475)Termination reason: Unknown
% 9.22/2.66 % (12475)Termination phase: Property scanning
% 9.22/2.66
% 9.22/2.66 % (12475)Memory used [KB]: 1535
% 9.22/2.66 % (12475)Time elapsed: 0.009 s
% 9.22/2.66 % (12475)Instructions burned: 29 (million)
% 9.22/2.66 % (12475)------------------------------
% 9.22/2.66 % (12475)------------------------------
% 9.22/2.67 % (12476)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_11920 for (2987ds/995Mi)
% 9.22/2.69 % (12474)Instruction limit reached!
% 9.22/2.69 % (12474)------------------------------
% 9.22/2.69 % (12474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.22/2.69 % (12474)Termination reason: Unknown
% 9.22/2.69 % (12474)Termination phase: Saturation
% 9.22/2.69
% 9.22/2.69 % (12474)Memory used [KB]: 7419
% 9.22/2.69 % (12474)Time elapsed: 0.072 s
% 9.22/2.69 % (12474)Instructions burned: 260 (million)
% 9.22/2.69 % (12474)------------------------------
% 9.22/2.69 % (12474)------------------------------
% 9.51/2.70 % (12477)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_11920 for (2987ds/373Mi)
% 9.51/2.79 % (12465)Instruction limit reached!
% 9.51/2.79 % (12465)------------------------------
% 9.51/2.79 % (12465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.51/2.79 % (12465)Termination reason: Unknown
% 9.51/2.79 % (12465)Termination phase: Saturation
% 9.51/2.79
% 9.51/2.79 % (12465)Memory used [KB]: 8827
% 9.51/2.79 % (12465)Time elapsed: 0.484 s
% 9.51/2.79 % (12465)Instructions burned: 1542 (million)
% 9.51/2.79 % (12465)------------------------------
% 9.51/2.79 % (12465)------------------------------
% 10.01/2.80 % (12478)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_11920 for (2986ds/253Mi)
% 10.01/2.81 % (12477)Instruction limit reached!
% 10.01/2.81 % (12477)------------------------------
% 10.01/2.81 % (12477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.01/2.81 % (12477)Termination reason: Unknown
% 10.01/2.81 % (12477)Termination phase: Saturation
% 10.01/2.81
% 10.01/2.81 % (12477)Memory used [KB]: 7164
% 10.01/2.81 % (12477)Time elapsed: 0.138 s
% 10.01/2.81 % (12477)Instructions burned: 374 (million)
% 10.01/2.81 % (12477)------------------------------
% 10.01/2.81 % (12477)------------------------------
% 10.01/2.82 % (12479)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_11920 for (2986ds/832Mi)
% 10.01/2.86 % (12478)Instruction limit reached!
% 10.01/2.86 % (12478)------------------------------
% 10.01/2.86 % (12478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.01/2.86 % (12478)Termination reason: Unknown
% 10.01/2.86 % (12478)Termination phase: Saturation
% 10.01/2.86
% 10.01/2.86 % (12478)Memory used [KB]: 6268
% 10.01/2.86 % (12478)Time elapsed: 0.062 s
% 10.01/2.86 % (12478)Instructions burned: 254 (million)
% 10.01/2.86 % (12478)------------------------------
% 10.01/2.86 % (12478)------------------------------
% 10.01/2.87 % (12480)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_11920 for (2985ds/668Mi)
% 10.21/2.91 % (12476)Instruction limit reached!
% 10.21/2.91 % (12476)------------------------------
% 10.21/2.91 % (12476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.21/2.91 % (12476)Termination reason: Unknown
% 10.21/2.91 % (12476)Termination phase: Saturation
% 10.21/2.91
% 10.21/2.91 % (12476)Memory used [KB]: 7931
% 10.21/2.91 % (12476)Time elapsed: 0.249 s
% 10.21/2.91 % (12476)Instructions burned: 997 (million)
% 10.21/2.91 % (12476)------------------------------
% 10.21/2.91 % (12476)------------------------------
% 10.21/2.92 % (12468)Instruction limit reached!
% 10.21/2.92 % (12468)------------------------------
% 10.21/2.92 % (12468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.21/2.92 % (12468)Termination reason: Unknown
% 10.21/2.92 % (12468)Termination phase: Saturation
% 10.21/2.92
% 10.21/2.92 % (12468)Memory used [KB]: 3582
% 10.21/2.92 % (12468)Time elapsed: 0.580 s
% 10.21/2.92 % (12468)Instructions burned: 1914 (million)
% 10.21/2.92 % (12468)------------------------------
% 10.21/2.92 % (12468)------------------------------
% 10.21/2.93 % (12481)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_11920 for (2984ds/40Mi)
% 10.21/2.93 % (12482)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_11920 for (2984ds/294Mi)
% 10.21/2.94 % (12481)Instruction limit reached!
% 10.21/2.94 % (12481)------------------------------
% 10.21/2.94 % (12481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.21/2.94 % (12481)Termination reason: Unknown
% 10.21/2.94 % (12481)Termination phase: Property scanning
% 10.21/2.94
% 10.21/2.94 % (12481)Memory used [KB]: 1663
% 10.21/2.94 % (12481)Time elapsed: 0.013 s
% 10.21/2.94 % (12481)Instructions burned: 43 (million)
% 10.21/2.94 % (12481)------------------------------
% 10.21/2.94 % (12481)------------------------------
% 10.21/2.95 % (12483)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_11920 for (2984ds/187Mi)
% 10.21/3.00 % (12483)Instruction limit reached!
% 10.21/3.00 % (12483)------------------------------
% 10.21/3.00 % (12483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.21/3.00 % (12483)Termination reason: Unknown
% 10.21/3.00 % (12483)Termination phase: Saturation
% 10.21/3.00
% 10.21/3.00 % (12483)Memory used [KB]: 7036
% 10.21/3.00 % (12483)Time elapsed: 0.055 s
% 10.21/3.00 % (12483)Instructions burned: 187 (million)
% 10.21/3.00 % (12483)------------------------------
% 10.21/3.00 % (12483)------------------------------
% 10.21/3.00 % (12482)Instruction limit reached!
% 10.21/3.00 % (12482)------------------------------
% 10.21/3.00 % (12482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.21/3.00 % (12482)Termination reason: Unknown
% 10.21/3.00 % (12482)Termination phase: Saturation
% 10.21/3.00
% 10.21/3.00 % (12482)Memory used [KB]: 6268
% 10.21/3.00 % (12482)Time elapsed: 0.075 s
% 10.21/3.00 % (12482)Instructions burned: 295 (million)
% 10.21/3.00 % (12482)------------------------------
% 10.21/3.00 % (12482)------------------------------
% 10.21/3.01 % (12484)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_11920 for (2984ds/371Mi)
% 10.21/3.01 % (12485)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_11920 for (2983ds/1827Mi)
% 13.59/3.03 % (12480)Instruction limit reached!
% 13.59/3.03 % (12480)------------------------------
% 13.59/3.03 % (12480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.59/3.03 % (12480)Termination reason: Unknown
% 13.59/3.03 % (12480)Termination phase: Saturation
% 13.59/3.03
% 13.59/3.03 % (12480)Memory used [KB]: 12537
% 13.59/3.03 % (12480)Time elapsed: 0.192 s
% 13.59/3.03 % (12480)Instructions burned: 669 (million)
% 13.59/3.03 % (12480)------------------------------
% 13.59/3.03 % (12480)------------------------------
% 13.59/3.04 % (12486)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_11920 for (2983ds/70Mi)
% 13.59/3.06 % (12486)Instruction limit reached!
% 13.59/3.06 % (12486)------------------------------
% 13.59/3.06 % (12486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.59/3.06 % (12486)Termination reason: Unknown
% 13.59/3.06 % (12486)Termination phase: Saturation
% 13.59/3.06
% 13.59/3.06 % (12486)Memory used [KB]: 1663
% 13.59/3.06 % (12486)Time elapsed: 0.019 s
% 13.59/3.06 % (12486)Instructions burned: 71 (million)
% 13.59/3.06 % (12486)------------------------------
% 13.59/3.06 % (12486)------------------------------
% 13.59/3.07 % (12487)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_11920 for (2983ds/316Mi)
% 13.59/3.08 % (12479)Instruction limit reached!
% 13.59/3.08 % (12479)------------------------------
% 13.59/3.08 % (12479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.59/3.08 % (12479)Termination reason: Unknown
% 13.59/3.08 % (12479)Termination phase: Saturation
% 13.59/3.08
% 13.59/3.08 % (12479)Memory used [KB]: 8699
% 13.59/3.08 % (12479)Time elapsed: 0.285 s
% 13.59/3.08 % (12479)Instructions burned: 834 (million)
% 13.59/3.08 % (12479)------------------------------
% 13.59/3.08 % (12479)------------------------------
% 13.59/3.09 % (12488)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_11920 for (2983ds/932Mi)
% 13.59/3.11 % (12484)Refutation not found, non-redundant clauses discarded% (12484)------------------------------
% 13.59/3.11 % (12484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.59/3.11 % (12484)Termination reason: Refutation not found, non-redundant clauses discarded
% 13.59/3.11
% 13.59/3.11 % (12484)Memory used [KB]: 7164
% 13.59/3.11 % (12484)Time elapsed: 0.102 s
% 13.59/3.11 % (12484)Instructions burned: 334 (million)
% 13.59/3.11 % (12484)------------------------------
% 13.59/3.11 % (12484)------------------------------
% 13.59/3.12 % (12489)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_11920 for (2982ds/4714Mi)
% 14.11/3.15 % (12487)Instruction limit reached!
% 14.11/3.15 % (12487)------------------------------
% 14.11/3.15 % (12487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.11/3.15 % (12487)Termination reason: Unknown
% 14.11/3.15 % (12487)Termination phase: Saturation
% 14.11/3.15
% 14.11/3.15 % (12487)Memory used [KB]: 6780
% 14.11/3.15 % (12487)Time elapsed: 0.081 s
% 14.11/3.15 % (12487)Instructions burned: 316 (million)
% 14.11/3.15 % (12487)------------------------------
% 14.11/3.15 % (12487)------------------------------
% 14.11/3.16 % (12490)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_11920 for (2982ds/8250Mi)
% 14.72/3.32 % (12488)Instruction limit reached!
% 14.72/3.32 % (12488)------------------------------
% 14.72/3.32 % (12488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.72/3.32 % (12488)Termination reason: Unknown
% 14.72/3.32 % (12488)Termination phase: Saturation
% 14.72/3.32
% 14.72/3.32 % (12488)Memory used [KB]: 8315
% 14.72/3.32 % (12488)Time elapsed: 0.232 s
% 14.72/3.32 % (12488)Instructions burned: 934 (million)
% 14.72/3.32 % (12488)------------------------------
% 14.72/3.32 % (12488)------------------------------
% 14.72/3.33 % (12491)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_11920 for (2980ds/770Mi)
% 15.56/3.55 % (12491)Instruction limit reached!
% 15.56/3.55 % (12491)------------------------------
% 15.56/3.55 % (12491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.56/3.55 % (12491)Termination reason: Unknown
% 15.56/3.55 % (12491)Termination phase: Saturation
% 15.56/3.55
% 15.56/3.55 % (12491)Memory used [KB]: 6524
% 15.56/3.55 % (12491)Time elapsed: 0.220 s
% 15.56/3.55 % (12491)Instructions burned: 771 (million)
% 15.56/3.55 % (12491)------------------------------
% 15.56/3.55 % (12491)------------------------------
% 15.56/3.56 % (12492)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_11920 for (2978ds/794Mi)
% 15.56/3.57 % (12485)Instruction limit reached!
% 15.56/3.57 % (12485)------------------------------
% 15.56/3.57 % (12485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.56/3.57 % (12485)Termination reason: Unknown
% 15.56/3.57 % (12485)Termination phase: Saturation
% 15.56/3.57
% 15.56/3.57 % (12485)Memory used [KB]: 14583
% 15.56/3.57 % (12485)Time elapsed: 0.563 s
% 15.56/3.57 % (12485)Instructions burned: 1827 (million)
% 15.56/3.57 % (12485)------------------------------
% 15.56/3.57 % (12485)------------------------------
% 15.56/3.58 % (12493)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_11920 for (2978ds/464Mi)
% 16.66/3.62 % (12467)Instruction limit reached!
% 16.66/3.62 % (12467)------------------------------
% 16.66/3.62 % (12467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.66/3.62 % (12467)Termination reason: Unknown
% 16.66/3.62 % (12467)Termination phase: Saturation
% 16.66/3.62
% 16.66/3.62 % (12467)Memory used [KB]: 10874
% 16.66/3.62 % (12467)Time elapsed: 1.284 s
% 16.66/3.62 % (12467)Instructions burned: 5206 (million)
% 16.66/3.62 % (12467)------------------------------
% 16.66/3.62 % (12467)------------------------------
% 16.66/3.63 % (12494)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_11920 for (2977ds/1376Mi)
% 16.90/3.70 % (12464)Instruction limit reached!
% 16.90/3.70 % (12464)------------------------------
% 16.90/3.70 % (12464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.90/3.70 % (12464)Termination reason: Unknown
% 16.90/3.70 % (12464)Termination phase: Saturation
% 16.90/3.70
% 16.90/3.70 % (12464)Memory used [KB]: 14328
% 16.90/3.70 % (12464)Time elapsed: 1.414 s
% 16.90/3.70 % (12464)Instructions burned: 4438 (million)
% 16.90/3.70 % (12464)------------------------------
% 16.90/3.70 % (12464)------------------------------
% 16.90/3.71 % (12495)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_11920 for (2977ds/906Mi)
% 16.90/3.73 % (12493)Instruction limit reached!
% 16.90/3.73 % (12493)------------------------------
% 16.90/3.73 % (12493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.90/3.73 % (12493)Termination reason: Unknown
% 16.90/3.73 % (12493)Termination phase: Saturation
% 16.90/3.73
% 16.90/3.73 % (12493)Memory used [KB]: 7291
% 16.90/3.73 % (12493)Time elapsed: 0.144 s
% 16.90/3.73 % (12493)Instructions burned: 464 (million)
% 16.90/3.73 % (12493)------------------------------
% 16.90/3.73 % (12493)------------------------------
% 16.90/3.74 % (12496)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_11920 for (2976ds/434Mi)
% 16.90/3.79 % (12469)Instruction limit reached!
% 16.90/3.79 % (12469)------------------------------
% 16.90/3.79 % (12469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.90/3.79 % (12469)Termination reason: Unknown
% 16.90/3.79 % (12469)Termination phase: Saturation
% 16.90/3.79
% 16.90/3.79 % (12469)Memory used [KB]: 10618
% 16.90/3.79 % (12469)Time elapsed: 1.344 s
% 16.90/3.79 % (12469)Instructions burned: 4352 (million)
% 16.90/3.79 % (12469)------------------------------
% 16.90/3.79 % (12469)------------------------------
% 16.90/3.80 % (12497)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_11920 for (2976ds/865Mi)
% 17.18/3.81 % (12492)Instruction limit reached!
% 17.18/3.81 % (12492)------------------------------
% 17.18/3.81 % (12492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.18/3.81 % (12492)Termination reason: Unknown
% 17.18/3.81 % (12492)Termination phase: Saturation
% 17.18/3.81
% 17.18/3.81 % (12492)Memory used [KB]: 3709
% 17.18/3.81 % (12492)Time elapsed: 0.247 s
% 17.18/3.81 % (12492)Instructions burned: 795 (million)
% 17.18/3.81 % (12492)------------------------------
% 17.18/3.81 % (12492)------------------------------
% 17.18/3.82 % (12498)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_11920 for (2975ds/593Mi)
% 17.18/3.86 % (12496)Instruction limit reached!
% 17.18/3.86 % (12496)------------------------------
% 17.18/3.86 % (12496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.18/3.86 % (12496)Termination reason: Unknown
% 17.18/3.86 % (12496)Termination phase: Saturation
% 17.18/3.86
% 17.18/3.86 % (12496)Memory used [KB]: 8443
% 17.18/3.86 % (12496)Time elapsed: 0.130 s
% 17.18/3.86 % (12496)Instructions burned: 434 (million)
% 17.18/3.86 % (12496)------------------------------
% 17.18/3.86 % (12496)------------------------------
% 17.18/3.87 % (12499)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_11920 for (2975ds/443Mi)
% 17.57/3.96 % (12498)Instruction limit reached!
% 17.57/3.96 % (12498)------------------------------
% 17.57/3.96 % (12498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.57/3.96 % (12498)Termination reason: Unknown
% 17.57/3.96 % (12498)Termination phase: Saturation
% 17.57/3.96
% 17.57/3.96 % (12498)Memory used [KB]: 6396
% 17.57/3.96 % (12498)Time elapsed: 0.142 s
% 17.57/3.96 % (12498)Instructions burned: 596 (million)
% 17.57/3.96 % (12498)------------------------------
% 17.57/3.96 % (12498)------------------------------
% 17.57/3.97 % (12500)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_11920 for (2974ds/594Mi)
% 17.57/3.98 % (12494)Instruction limit reached!
% 17.57/3.98 % (12494)------------------------------
% 17.57/3.98 % (12494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.57/3.98 % (12494)Termination reason: Unknown
% 17.57/3.98 % (12494)Termination phase: Saturation
% 17.57/3.98
% 17.57/3.98 % (12494)Memory used [KB]: 7803
% 17.57/3.98 % (12494)Time elapsed: 0.353 s
% 17.57/3.98 % (12494)Instructions burned: 1378 (million)
% 17.57/3.98 % (12494)------------------------------
% 17.57/3.98 % (12494)------------------------------
% 17.57/3.99 % (12501)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_11920 for (2974ds/327Mi)
% 17.57/4.01 % (12495)Instruction limit reached!
% 17.57/4.01 % (12495)------------------------------
% 17.57/4.01 % (12495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.57/4.01 % (12495)Termination reason: Unknown
% 17.57/4.01 % (12495)Termination phase: Saturation
% 17.57/4.01
% 17.57/4.01 % (12495)Memory used [KB]: 8315
% 17.57/4.01 % (12495)Time elapsed: 0.300 s
% 17.57/4.01 % (12495)Instructions burned: 908 (million)
% 17.57/4.01 % (12495)------------------------------
% 17.57/4.01 % (12495)------------------------------
% 17.57/4.01 % (12499)Instruction limit reached!
% 17.57/4.01 % (12499)------------------------------
% 17.57/4.01 % (12499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.57/4.01 % (12499)Termination reason: Unknown
% 17.57/4.01 % (12499)Termination phase: Saturation
% 17.57/4.01
% 17.57/4.01 % (12499)Memory used [KB]: 7291
% 17.57/4.01 % (12499)Time elapsed: 0.139 s
% 17.57/4.01 % (12499)Instructions burned: 443 (million)
% 17.57/4.01 % (12499)------------------------------
% 17.57/4.01 % (12499)------------------------------
% 17.57/4.02 % (12502)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_11920 for (2973ds/5411Mi)
% 17.57/4.02 % (12503)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_11920 for (2973ds/1762Mi)
% 20.61/4.06 % (12497)Instruction limit reached!
% 20.61/4.06 % (12497)------------------------------
% 20.61/4.06 % (12497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.61/4.06 % (12497)Termination reason: Unknown
% 20.61/4.06 % (12497)Termination phase: Saturation
% 20.61/4.06
% 20.61/4.06 % (12497)Memory used [KB]: 8315
% 20.61/4.06 % (12497)Time elapsed: 0.269 s
% 20.61/4.06 % (12497)Instructions burned: 867 (million)
% 20.61/4.06 % (12497)------------------------------
% 20.61/4.06 % (12497)------------------------------
% 20.61/4.07 % (12504)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_11920 for (2973ds/96Mi)
% 20.61/4.09 % (12501)Instruction limit reached!
% 20.61/4.09 % (12501)------------------------------
% 20.61/4.09 % (12501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.61/4.09 % (12501)Termination reason: Unknown
% 20.61/4.09 % (12501)Termination phase: Saturation
% 20.61/4.09
% 20.61/4.09 % (12501)Memory used [KB]: 8699
% 20.61/4.09 % (12501)Time elapsed: 0.103 s
% 20.61/4.09 % (12501)Instructions burned: 327 (million)
% 20.61/4.09 % (12501)------------------------------
% 20.61/4.09 % (12501)------------------------------
% 20.61/4.10 % (12504)Instruction limit reached!
% 20.61/4.10 % (12504)------------------------------
% 20.61/4.10 % (12504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.61/4.10 % (12504)Termination reason: Unknown
% 20.61/4.10 % (12504)Termination phase: Saturation
% 20.61/4.10
% 20.61/4.10 % (12504)Memory used [KB]: 6140
% 20.61/4.10 % (12504)Time elapsed: 0.025 s
% 20.61/4.10 % (12504)Instructions burned: 96 (million)
% 20.61/4.10 % (12504)------------------------------
% 20.61/4.10 % (12504)------------------------------
% 20.61/4.10 % (12505)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_11920 for (2973ds/503Mi)
% 20.61/4.11 % (12506)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_11920 for (2973ds/90Mi)
% 21.09/4.13 % (12489)Instruction limit reached!
% 21.09/4.13 % (12489)------------------------------
% 21.09/4.13 % (12489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.09/4.13 % (12489)Termination reason: Unknown
% 21.09/4.13 % (12489)Termination phase: Saturation
% 21.09/4.13
% 21.09/4.13 % (12489)Memory used [KB]: 6780
% 21.09/4.13 % (12489)Time elapsed: 1.008 s
% 21.09/4.13 % (12489)Instructions burned: 4718 (million)
% 21.09/4.13 % (12489)------------------------------
% 21.09/4.13 % (12489)------------------------------
% 21.09/4.13 % (12506)Instruction limit reached!
% 21.09/4.13 % (12506)------------------------------
% 21.09/4.13 % (12506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.09/4.13 % (12506)Termination reason: Unknown
% 21.09/4.13 % (12506)Termination phase: Saturation
% 21.09/4.13
% 21.09/4.13 % (12506)Memory used [KB]: 6524
% 21.09/4.13 % (12506)Time elapsed: 0.026 s
% 21.09/4.13 % (12506)Instructions burned: 91 (million)
% 21.09/4.13 % (12506)------------------------------
% 21.09/4.13 % (12506)------------------------------
% 21.09/4.14 % (12507)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_11920 for (2972ds/593Mi)
% 21.09/4.14 % (12508)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_11920 for (2972ds/1512Mi)
% 21.09/4.15 % (12500)Instruction limit reached!
% 21.09/4.15 % (12500)------------------------------
% 21.09/4.15 % (12500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.09/4.15 % (12500)Termination reason: Unknown
% 21.09/4.15 % (12500)Termination phase: Saturation
% 21.09/4.15
% 21.09/4.15 % (12500)Memory used [KB]: 7419
% 21.09/4.15 % (12500)Time elapsed: 0.179 s
% 21.09/4.15 % (12500)Instructions burned: 594 (million)
% 21.09/4.15 % (12500)------------------------------
% 21.09/4.15 % (12500)------------------------------
% 21.09/4.16 % (12509)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_11920 for (2972ds/569Mi)
% 21.22/4.25 % (12505)Instruction limit reached!
% 21.22/4.25 % (12505)------------------------------
% 21.22/4.25 % (12505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.22/4.25 % (12505)Termination reason: Unknown
% 21.22/4.25 % (12505)Termination phase: Saturation
% 21.22/4.25
% 21.22/4.25 % (12505)Memory used [KB]: 7291
% 21.22/4.25 % (12505)Time elapsed: 0.153 s
% 21.22/4.25 % (12505)Instructions burned: 503 (million)
% 21.22/4.25 % (12505)------------------------------
% 21.22/4.25 % (12505)------------------------------
% 21.22/4.26 % (12510)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_11920 for (2971ds/501Mi)
% 21.49/4.30 % (12509)Instruction limit reached!
% 21.49/4.30 % (12509)------------------------------
% 21.49/4.30 % (12509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.30 % (12509)Termination reason: Unknown
% 21.49/4.30 % (12509)Termination phase: Saturation
% 21.49/4.30
% 21.49/4.30 % (12509)Memory used [KB]: 7803
% 21.49/4.30 % (12509)Time elapsed: 0.143 s
% 21.49/4.30 % (12509)Instructions burned: 570 (million)
% 21.49/4.30 % (12509)------------------------------
% 21.49/4.30 % (12509)------------------------------
% 21.49/4.31 % (12511)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_11920 for (2971ds/562Mi)
% 21.49/4.32 % (12507)Instruction limit reached!
% 21.49/4.32 % (12507)------------------------------
% 21.49/4.32 % (12507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.32 % (12507)Termination reason: Unknown
% 21.49/4.32 % (12507)Termination phase: Saturation
% 21.49/4.32
% 21.49/4.32 % (12507)Memory used [KB]: 7291
% 21.49/4.32 % (12507)Time elapsed: 0.183 s
% 21.49/4.32 % (12507)Instructions burned: 594 (million)
% 21.49/4.32 % (12507)------------------------------
% 21.49/4.32 % (12507)------------------------------
% 21.49/4.33 % (12512)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_11920 for (2970ds/406Mi)
% 21.49/4.38 % (12512)Refutation not found, incomplete strategy
% 21.49/4.38 % (12512)------------------------------
% 21.49/4.38 % (12512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.38 % (12512)Termination reason: Refutation not found, incomplete strategy
% 21.49/4.38
% 21.49/4.38
% 21.49/4.38 % (12512)Memory used [KB]: 6396
% 21.49/4.38 % (12512)Time elapsed: 0.050 s
% 21.49/4.38 % (12512)Instructions burned: 165 (million)
% 21.49/4.38 % (12512)------------------------------
% 21.49/4.38 % (12512)------------------------------
% 21.49/4.39 % (12513)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_11920 for (2970ds/582Mi)
% 22.00/4.42 % (12510)Instruction limit reached!
% 22.00/4.42 % (12510)------------------------------
% 22.00/4.42 % (12510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.00/4.42 % (12510)Termination reason: Unknown
% 22.00/4.42 % (12510)Termination phase: Saturation
% 22.00/4.42
% 22.00/4.42 % (12510)Memory used [KB]: 8571
% 22.00/4.42 % (12510)Time elapsed: 0.160 s
% 22.00/4.42 % (12510)Instructions burned: 503 (million)
% 22.00/4.42 % (12510)------------------------------
% 22.00/4.42 % (12510)------------------------------
% 22.00/4.43 % (12514)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_11920 for (2969ds/456Mi)
% 22.00/4.47 % (12503)Instruction limit reached!
% 22.00/4.47 % (12503)------------------------------
% 22.00/4.47 % (12503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.00/4.47 % (12503)Termination reason: Unknown
% 22.00/4.47 % (12503)Termination phase: Saturation
% 22.00/4.47
% 22.00/4.47 % (12503)Memory used [KB]: 9210
% 22.00/4.47 % (12503)Time elapsed: 0.447 s
% 22.00/4.47 % (12503)Instructions burned: 1763 (million)
% 22.00/4.47 % (12503)------------------------------
% 22.00/4.47 % (12503)------------------------------
% 22.00/4.48 % (12515)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_11920 for (2969ds/393Mi)
% 22.00/4.48 % (12511)Instruction limit reached!
% 22.00/4.48 % (12511)------------------------------
% 22.00/4.48 % (12511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.00/4.48 % (12511)Termination reason: Unknown
% 22.00/4.48 % (12511)Termination phase: Saturation
% 22.00/4.48
% 22.00/4.48 % (12511)Memory used [KB]: 7419
% 22.00/4.48 % (12511)Time elapsed: 0.172 s
% 22.00/4.48 % (12511)Instructions burned: 562 (million)
% 22.00/4.48 % (12511)------------------------------
% 22.00/4.48 % (12511)------------------------------
% 22.00/4.49 % (12516)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_11920 for (2969ds/1335Mi)
% 22.91/4.57 % (12514)Instruction limit reached!
% 22.91/4.57 % (12514)------------------------------
% 22.91/4.57 % (12514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.91/4.57 % (12514)Termination reason: Unknown
% 22.91/4.57 % (12514)Termination phase: Saturation
% 22.91/4.57
% 22.91/4.57 % (12514)Memory used [KB]: 7291
% 22.91/4.57 % (12514)Time elapsed: 0.139 s
% 22.91/4.57 % (12514)Instructions burned: 457 (million)
% 22.91/4.57 % (12514)------------------------------
% 22.91/4.57 % (12514)------------------------------
% 22.91/4.57 % (12513)Instruction limit reached!
% 22.91/4.57 % (12513)------------------------------
% 22.91/4.57 % (12513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.91/4.57 % (12513)Termination reason: Unknown
% 22.91/4.57 % (12513)Termination phase: Saturation
% 22.91/4.57
% 22.91/4.57 % (12513)Memory used [KB]: 8315
% 22.91/4.57 % (12513)Time elapsed: 0.185 s
% 22.91/4.57 % (12513)Instructions burned: 584 (million)
% 22.91/4.57 % (12513)------------------------------
% 22.91/4.57 % (12513)------------------------------
% 22.91/4.58 % (12517)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_11920 for (2968ds/3373Mi)
% 22.91/4.58 % (12518)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_11920 for (2968ds/474Mi)
% 23.34/4.60 % (12515)Instruction limit reached!
% 23.34/4.60 % (12515)------------------------------
% 23.34/4.60 % (12515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.34/4.60 % (12515)Termination reason: Unknown
% 23.34/4.60 % (12515)Termination phase: Saturation
% 23.34/4.60
% 23.34/4.60 % (12515)Memory used [KB]: 7931
% 23.34/4.60 % (12515)Time elapsed: 0.120 s
% 23.34/4.60 % (12515)Instructions burned: 395 (million)
% 23.34/4.60 % (12515)------------------------------
% 23.34/4.60 % (12515)------------------------------
% 23.34/4.61 % (12519)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_11920 for (2968ds/157Mi)
% 23.34/4.62 % (12508)Instruction limit reached!
% 23.34/4.62 % (12508)------------------------------
% 23.34/4.62 % (12508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.34/4.62 % (12508)Termination reason: Unknown
% 23.34/4.62 % (12508)Termination phase: Saturation
% 23.34/4.62
% 23.34/4.62 % (12508)Memory used [KB]: 10106
% 23.34/4.62 % (12508)Time elapsed: 0.484 s
% 23.34/4.62 % (12508)Instructions burned: 1512 (million)
% 23.34/4.62 % (12508)------------------------------
% 23.34/4.62 % (12508)------------------------------
% 23.34/4.63 % (12520)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_11920 for (2967ds/590Mi)
% 23.34/4.65 % (12519)Instruction limit reached!
% 23.34/4.65 % (12519)------------------------------
% 23.34/4.65 % (12519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.34/4.65 % (12519)Termination reason: Unknown
% 23.34/4.65 % (12519)Termination phase: Saturation
% 23.34/4.65
% 23.34/4.65 % (12519)Memory used [KB]: 6140
% 23.34/4.65 % (12519)Time elapsed: 0.042 s
% 23.34/4.65 % (12519)Instructions burned: 160 (million)
% 23.34/4.65 % (12519)------------------------------
% 23.34/4.65 % (12519)------------------------------
% 23.34/4.66 % (12521)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_11920 for (2967ds/104Mi)
% 23.34/4.68 % (12521)Instruction limit reached!
% 23.34/4.68 % (12521)------------------------------
% 23.34/4.68 % (12521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.34/4.68 % (12521)Termination reason: Unknown
% 23.34/4.68 % (12521)Termination phase: Saturation
% 23.34/4.68
% 23.34/4.68 % (12521)Memory used [KB]: 6652
% 23.34/4.68 % (12521)Time elapsed: 0.029 s
% 23.34/4.68 % (12521)Instructions burned: 105 (million)
% 23.34/4.68 % (12521)------------------------------
% 23.34/4.68 % (12521)------------------------------
% 23.34/4.69 % (12522)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_11920 for (2967ds/414Mi)
% 23.34/4.70 % (12518)Instruction limit reached!
% 23.34/4.70 % (12518)------------------------------
% 23.34/4.70 % (12518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.34/4.70 % (12518)Termination reason: Unknown
% 23.34/4.70 % (12518)Termination phase: Saturation
% 23.34/4.70
% 23.34/4.70 % (12518)Memory used [KB]: 7803
% 23.34/4.70 % (12518)Time elapsed: 0.116 s
% 23.34/4.70 % (12518)Instructions burned: 477 (million)
% 23.34/4.70 % (12518)------------------------------
% 23.34/4.70 % (12518)------------------------------
% 24.18/4.71 % (12523)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_11920 for (2967ds/715Mi)
% 24.18/4.79 % (12522)Instruction limit reached!
% 24.18/4.79 % (12522)------------------------------
% 24.18/4.79 % (12522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.18/4.79 % (12522)Termination reason: Unknown
% 24.18/4.79 % (12522)Termination phase: Saturation
% 24.18/4.79
% 24.18/4.79 % (12522)Memory used [KB]: 6268
% 24.18/4.79 % (12522)Time elapsed: 0.100 s
% 24.18/4.79 % (12522)Instructions burned: 415 (million)
% 24.18/4.79 % (12522)------------------------------
% 24.18/4.79 % (12522)------------------------------
% 24.51/4.80 % (12524)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_11920 for (2966ds/961Mi)
% 24.51/4.81 % (12520)Instruction limit reached!
% 24.51/4.81 % (12520)------------------------------
% 24.51/4.81 % (12520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.51/4.81 % (12520)Termination reason: Unknown
% 24.51/4.81 % (12520)Termination phase: Saturation
% 24.51/4.81
% 24.51/4.81 % (12520)Memory used [KB]: 8699
% 24.51/4.81 % (12520)Time elapsed: 0.176 s
% 24.51/4.81 % (12520)Instructions burned: 592 (million)
% 24.51/4.81 % (12520)------------------------------
% 24.51/4.81 % (12520)------------------------------
% 24.51/4.82 % (12525)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_11920 for (2966ds/1213Mi)
% 24.51/4.89 % (12516)Instruction limit reached!
% 24.51/4.89 % (12516)------------------------------
% 24.51/4.89 % (12516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.51/4.89 % (12516)Termination reason: Unknown
% 24.51/4.89 % (12516)Termination phase: Saturation
% 24.51/4.89
% 24.51/4.89 % (12516)Memory used [KB]: 7675
% 24.51/4.89 % (12516)Time elapsed: 0.405 s
% 24.51/4.89 % (12516)Instructions burned: 1337 (million)
% 24.51/4.89 % (12516)------------------------------
% 24.51/4.89 % (12516)------------------------------
% 25.20/4.90 % (12526)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_11920 for (2965ds/1979Mi)
% 25.20/4.92 % (12523)Instruction limit reached!
% 25.20/4.92 % (12523)------------------------------
% 25.20/4.92 % (12523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.20/4.92 % (12523)Termination reason: Unknown
% 25.20/4.92 % (12523)Termination phase: Saturation
% 25.20/4.92
% 25.20/4.92 % (12523)Memory used [KB]: 3070
% 25.20/4.92 % (12523)Time elapsed: 0.220 s
% 25.20/4.92 % (12523)Instructions burned: 716 (million)
% 25.20/4.92 % (12523)------------------------------
% 25.20/4.92 % (12523)------------------------------
% 25.20/4.93 % (12527)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_11920 for (2964ds/481Mi)
% 27.63/5.05 % (12527)Instruction limit reached!
% 27.63/5.05 % (12527)------------------------------
% 27.63/5.05 % (12527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.63/5.05 % (12527)Termination reason: Unknown
% 27.63/5.05 % (12527)Termination phase: Saturation
% 27.63/5.05
% 27.63/5.05 % (12527)Memory used [KB]: 7803
% 27.63/5.05 % (12527)Time elapsed: 0.139 s
% 27.63/5.05 % (12527)Instructions burned: 483 (million)
% 27.63/5.05 % (12527)------------------------------
% 27.63/5.05 % (12527)------------------------------
% 27.63/5.06 % (12528)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_11920 for (2963ds/783Mi)
% 27.63/5.10 % (12524)Instruction limit reached!
% 27.63/5.10 % (12524)------------------------------
% 27.63/5.10 % (12524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.63/5.10 % (12524)Termination reason: Unknown
% 27.63/5.10 % (12524)Termination phase: Saturation
% 27.63/5.10
% 27.63/5.10 % (12524)Memory used [KB]: 7675
% 27.63/5.10 % (12524)Time elapsed: 0.318 s
% 27.63/5.10 % (12524)Instructions burned: 961 (million)
% 27.63/5.10 % (12524)------------------------------
% 27.63/5.10 % (12524)------------------------------
% 27.63/5.11 % (12529)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_11920 for (2963ds/432Mi)
% 28.29/5.19 % (12525)Instruction limit reached!
% 28.29/5.19 % (12525)------------------------------
% 28.29/5.19 % (12525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.29/5.19 % (12525)Termination reason: Unknown
% 28.29/5.19 % (12525)Termination phase: Saturation
% 28.29/5.19
% 28.29/5.19 % (12525)Memory used [KB]: 10618
% 28.29/5.19 % (12525)Time elapsed: 0.394 s
% 28.29/5.19 % (12525)Instructions burned: 1213 (million)
% 28.29/5.19 % (12525)------------------------------
% 28.29/5.19 % (12525)------------------------------
% 28.64/5.20 % (12530)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_11920 for (2962ds/1670Mi)
% 28.64/5.24 % (12529)Instruction limit reached!
% 28.64/5.24 % (12529)------------------------------
% 28.64/5.24 % (12529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.64/5.24 % (12529)Termination reason: Unknown
% 28.64/5.24 % (12529)Termination phase: Saturation
% 28.64/5.24
% 28.64/5.24 % (12529)Memory used [KB]: 7419
% 28.64/5.24 % (12529)Time elapsed: 0.131 s
% 28.64/5.24 % (12529)Instructions burned: 435 (million)
% 28.64/5.24 % (12529)------------------------------
% 28.64/5.24 % (12529)------------------------------
% 28.64/5.25 % (12531)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_11920 for (2961ds/90Mi)
% 28.64/5.27 % (12531)Instruction limit reached!
% 28.64/5.27 % (12531)------------------------------
% 28.64/5.27 % (12531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.64/5.27 % (12531)Termination reason: Unknown
% 28.64/5.27 % (12531)Termination phase: Saturation
% 28.64/5.27
% 28.64/5.27 % (12531)Memory used [KB]: 6396
% 28.64/5.27 % (12531)Time elapsed: 0.025 s
% 28.64/5.27 % (12531)Instructions burned: 91 (million)
% 28.64/5.27 % (12531)------------------------------
% 28.64/5.27 % (12531)------------------------------
% 28.64/5.28 % (12532)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_11920 for (2961ds/346Mi)
% 29.23/5.30 % (12528)Instruction limit reached!
% 29.23/5.30 % (12528)------------------------------
% 29.23/5.30 % (12528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.23/5.30 % (12528)Termination reason: Unknown
% 29.23/5.30 % (12528)Termination phase: Saturation
% 29.23/5.30
% 29.23/5.30 % (12528)Memory used [KB]: 9083
% 29.23/5.30 % (12528)Time elapsed: 0.245 s
% 29.23/5.30 % (12528)Instructions burned: 783 (million)
% 29.23/5.30 % (12528)------------------------------
% 29.23/5.30 % (12528)------------------------------
% 29.23/5.31 % (12533)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_11920 for (2960ds/401Mi)
% 29.23/5.37 % (12532)Instruction limit reached!
% 29.23/5.37 % (12532)------------------------------
% 29.23/5.37 % (12532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.23/5.37 % (12532)Termination reason: Unknown
% 29.23/5.37 % (12532)Termination phase: Saturation
% 29.23/5.37
% 29.23/5.37 % (12532)Memory used [KB]: 7675
% 29.23/5.37 % (12532)Time elapsed: 0.086 s
% 29.23/5.37 % (12532)Instructions burned: 349 (million)
% 29.23/5.37 % (12532)------------------------------
% 29.23/5.37 % (12532)------------------------------
% 29.23/5.38 % (12534)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_11920 for (2960ds/6454Mi)
% 29.97/5.41 % (12533)Instruction limit reached!
% 29.97/5.41 % (12533)------------------------------
% 29.97/5.41 % (12533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.97/5.41 % (12533)Termination reason: Unknown
% 29.97/5.41 % (12533)Termination phase: Saturation
% 29.97/5.41
% 29.97/5.41 % (12533)Memory used [KB]: 6396
% 29.97/5.41 % (12533)Time elapsed: 0.096 s
% 29.97/5.41 % (12533)Instructions burned: 401 (million)
% 29.97/5.41 % (12533)------------------------------
% 29.97/5.41 % (12533)------------------------------
% 29.97/5.42 % (12535)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_11920 for (2959ds/283Mi)
% 30.48/5.51 % (12535)Instruction limit reached!
% 30.48/5.51 % (12535)------------------------------
% 30.48/5.51 % (12535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.48/5.51 % (12535)Termination reason: Unknown
% 30.48/5.51 % (12535)Termination phase: Saturation
% 30.48/5.51
% 30.48/5.51 % (12535)Memory used [KB]: 7036
% 30.48/5.51 % (12535)Time elapsed: 0.088 s
% 30.48/5.51 % (12535)Instructions burned: 284 (million)
% 30.48/5.51 % (12535)------------------------------
% 30.48/5.51 % (12535)------------------------------
% 30.48/5.51 % (12526)Refutation not found, non-redundant clauses discarded% (12526)------------------------------
% 30.48/5.51 % (12526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.48/5.51 % (12526)Termination reason: Refutation not found, non-redundant clauses discarded
% 30.48/5.51
% 30.48/5.51 % (12526)Memory used [KB]: 8443
% 30.48/5.51 % (12526)Time elapsed: 0.626 s
% 30.48/5.51 % (12526)Instructions burned: 1973 (million)
% 30.48/5.51 % (12526)------------------------------
% 30.48/5.51 % (12526)------------------------------
% 30.48/5.52 % (12536)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_11920 for (2958ds/865Mi)
% 30.48/5.52 % (12537)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_11920 for (2958ds/4528Mi)
% 30.48/5.55 % (12537)Refutation not found, incomplete strategy
% 30.48/5.55 % (12537)------------------------------
% 30.48/5.55 % (12537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.48/5.55 % (12537)Termination reason: Refutation not found, incomplete strategy
% 30.48/5.55
% 30.48/5.55
% 30.48/5.55 % (12537)Memory used [KB]: 1791
% 30.48/5.55 % (12537)Time elapsed: 0.037 s
% 30.48/5.55 % (12537)Instructions burned: 128 (million)
% 30.48/5.55 % (12537)------------------------------
% 30.48/5.55 % (12537)------------------------------
% 30.48/5.56 % (12538)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_11920 for (2958ds/1001Mi)
% 30.94/5.62 % (12517)Instruction limit reached!
% 30.94/5.62 % (12517)------------------------------
% 30.94/5.62 % (12517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.94/5.62 % (12517)Termination reason: Unknown
% 30.94/5.62 % (12517)Termination phase: Saturation
% 30.94/5.62
% 30.94/5.62 % (12517)Memory used [KB]: 12153
% 30.94/5.62 % (12517)Time elapsed: 1.043 s
% 30.94/5.62 % (12517)Instructions burned: 3373 (million)
% 30.94/5.62 % (12517)------------------------------
% 30.94/5.62 % (12517)------------------------------
% 30.94/5.63 % (12530)Instruction limit reached!
% 30.94/5.63 % (12530)------------------------------
% 30.94/5.63 % (12530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.94/5.63 % (12530)Termination reason: Unknown
% 30.94/5.63 % (12530)Termination phase: Saturation
% 30.94/5.63
% 30.94/5.63 % (12530)Memory used [KB]: 8827
% 30.94/5.63 % (12530)Time elapsed: 0.428 s
% 30.94/5.63 % (12530)Instructions burned: 1673 (million)
% 30.94/5.63 % (12530)------------------------------
% 30.94/5.63 % (12530)------------------------------
% 30.94/5.63 % (12539)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_11920 for (2957ds/102Mi)
% 30.94/5.64 % (12540)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_11920 for (2957ds/952Mi)
% 30.94/5.66 % (12539)Instruction limit reached!
% 30.94/5.66 % (12539)------------------------------
% 30.94/5.66 % (12539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.94/5.66 % (12539)Termination reason: Unknown
% 30.94/5.66 % (12539)Termination phase: Saturation
% 30.94/5.66
% 30.94/5.66 % (12539)Memory used [KB]: 6268
% 30.94/5.66 % (12539)Time elapsed: 0.030 s
% 30.94/5.66 % (12539)Instructions burned: 104 (million)
% 30.94/5.66 % (12539)------------------------------
% 30.94/5.66 % (12539)------------------------------
% 30.94/5.67 % (12541)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_11920 for (2957ds/578Mi)
% 31.64/5.71 % (12502)Instruction limit reached!
% 31.64/5.71 % (12502)------------------------------
% 31.64/5.71 % (12502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.64/5.71 % (12502)Termination reason: Unknown
% 31.64/5.71 % (12502)Termination phase: Saturation
% 31.64/5.71
% 31.64/5.71 % (12502)Memory used [KB]: 14583
% 31.64/5.71 % (12502)Time elapsed: 1.695 s
% 31.64/5.71 % (12502)Instructions burned: 5411 (million)
% 31.64/5.71 % (12502)------------------------------
% 31.64/5.71 % (12502)------------------------------
% 31.64/5.72 % (12542)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_11920 for (2956ds/643Mi)
% 31.64/5.77 % (12536)Instruction limit reached!
% 31.64/5.77 % (12536)------------------------------
% 31.64/5.77 % (12536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.64/5.77 % (12536)Termination reason: Unknown
% 31.64/5.77 % (12536)Termination phase: Saturation
% 31.64/5.77
% 31.64/5.77 % (12536)Memory used [KB]: 7547
% 31.64/5.77 % (12536)Time elapsed: 0.257 s
% 31.64/5.77 % (12536)Instructions burned: 868 (million)
% 31.64/5.77 % (12536)------------------------------
% 31.64/5.77 % (12536)------------------------------
% 31.64/5.78 % (12543)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_11920 for (2956ds/865Mi)
% 32.05/5.81 % (12490)Instruction limit reached!
% 32.05/5.81 % (12490)------------------------------
% 32.05/5.81 % (12490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.05/5.81 % (12490)Termination reason: Unknown
% 32.05/5.81 % (12490)Termination phase: Saturation
% 32.05/5.81
% 32.05/5.81 % (12490)Memory used [KB]: 27632
% 32.05/5.81 % (12490)Time elapsed: 2.646 s
% 32.05/5.81 % (12490)Instructions burned: 8252 (million)
% 32.05/5.81 % (12490)------------------------------
% 32.05/5.81 % (12490)------------------------------
% 32.05/5.82 % (12541)Instruction limit reached!
% 32.05/5.82 % (12541)------------------------------
% 32.05/5.82 % (12541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.05/5.82 % (12541)Termination reason: Unknown
% 32.05/5.82 % (12541)Termination phase: Saturation
% 32.05/5.82
% 32.05/5.82 % (12541)Memory used [KB]: 8443
% 32.05/5.82 % (12541)Time elapsed: 0.148 s
% 32.05/5.82 % (12541)Instructions burned: 581 (million)
% 32.05/5.82 % (12541)------------------------------
% 32.05/5.82 % (12541)------------------------------
% 32.05/5.82 % (12544)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_11920 for (2956ds/1174Mi)
% 32.05/5.82 % (12545)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_11920 for (2955ds/644Mi)
% 32.05/5.86 % (12538)Instruction limit reached!
% 32.05/5.86 % (12538)------------------------------
% 32.05/5.86 % (12538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.05/5.86 % (12538)Termination reason: Unknown
% 32.05/5.86 % (12538)Termination phase: Saturation
% 32.05/5.86
% 32.05/5.86 % (12538)Memory used [KB]: 8443
% 32.05/5.86 % (12538)Time elapsed: 0.302 s
% 32.05/5.86 % (12538)Instructions burned: 1003 (million)
% 32.05/5.86 % (12538)------------------------------
% 32.05/5.86 % (12538)------------------------------
% 32.05/5.87 % (12546)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_11920 for (2955ds/1201Mi)
% 32.05/5.88 % (12542)Instruction limit reached!
% 32.05/5.88 % (12542)------------------------------
% 32.05/5.88 % (12542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.05/5.88 % (12542)Termination reason: Unknown
% 32.05/5.88 % (12542)Termination phase: Saturation
% 32.05/5.88
% 32.05/5.88 % (12542)Memory used [KB]: 7803
% 32.05/5.88 % (12542)Time elapsed: 0.159 s
% 32.05/5.88 % (12542)Instructions burned: 645 (million)
% 32.05/5.88 % (12542)------------------------------
% 32.05/5.88 % (12542)------------------------------
% 32.05/5.89 % (12547)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_11920 for (2955ds/1046Mi)
% 32.71/5.93 % (12540)Instruction limit reached!
% 32.71/5.93 % (12540)------------------------------
% 32.71/5.93 % (12540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.71/5.93 % (12540)Termination reason: Unknown
% 32.71/5.93 % (12540)Termination phase: Saturation
% 32.71/5.93
% 32.71/5.93 % (12540)Memory used [KB]: 8315
% 32.71/5.93 % (12540)Time elapsed: 0.296 s
% 32.71/5.93 % (12540)Instructions burned: 952 (million)
% 32.71/5.93 % (12540)------------------------------
% 32.71/5.93 % (12540)------------------------------
% 32.71/5.94 % (12548)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_11920 for (2954ds/222Mi)
% 32.71/6.00 % (12548)Instruction limit reached!
% 32.71/6.00 % (12548)------------------------------
% 32.71/6.00 % (12548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.71/6.00 % (12548)Termination reason: Unknown
% 32.71/6.00 % (12548)Termination phase: Saturation
% 32.71/6.00
% 32.71/6.00 % (12548)Memory used [KB]: 6268
% 32.71/6.00 % (12548)Time elapsed: 0.057 s
% 32.71/6.00 % (12548)Instructions burned: 224 (million)
% 32.71/6.00 % (12548)------------------------------
% 32.71/6.00 % (12548)------------------------------
% 32.71/6.01 % (12549)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_11920 for (2954ds/68Mi)
% 32.71/6.02 % (12543)Instruction limit reached!
% 32.71/6.02 % (12543)------------------------------
% 32.71/6.02 % (12543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.71/6.02 % (12543)Termination reason: Unknown
% 32.71/6.02 % (12543)Termination phase: Saturation
% 32.71/6.02
% 32.71/6.02 % (12543)Memory used [KB]: 6396
% 32.71/6.02 % (12543)Time elapsed: 0.239 s
% 32.71/6.02 % (12543)Instructions burned: 866 (million)
% 32.71/6.02 % (12543)------------------------------
% 32.71/6.02 % (12543)------------------------------
% 32.71/6.02 % (12545)Instruction limit reached!
% 32.71/6.02 % (12545)------------------------------
% 32.71/6.02 % (12545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.71/6.02 % (12545)Termination reason: Unknown
% 32.71/6.02 % (12545)Termination phase: Saturation
% 32.71/6.02
% 32.71/6.02 % (12545)Memory used [KB]: 6908
% 32.71/6.02 % (12545)Time elapsed: 0.198 s
% 32.71/6.02 % (12545)Instructions burned: 644 (million)
% 32.71/6.02 % (12545)------------------------------
% 32.71/6.02 % (12545)------------------------------
% 34.65/6.02 % (12549)Instruction limit reached!
% 34.65/6.02 % (12549)------------------------------
% 34.65/6.02 % (12549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.65/6.02 % (12549)Termination reason: Unknown
% 34.65/6.02 % (12549)Termination phase: Saturation
% 34.65/6.02
% 34.65/6.02 % (12549)Memory used [KB]: 6268
% 34.65/6.02 % (12549)Time elapsed: 0.019 s
% 34.65/6.02 % (12549)Instructions burned: 70 (million)
% 34.65/6.02 % (12549)------------------------------
% 34.65/6.02 % (12549)------------------------------
% 34.65/6.03 % (12550)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_11920 for (2953ds/454Mi)
% 34.65/6.03 % (12551)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_11920 for (2953ds/360Mi)
% 34.65/6.03 % (12552)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_11920 for (2953ds/157Mi)
% 34.65/6.07 % (12552)Instruction limit reached!
% 34.65/6.07 % (12552)------------------------------
% 34.65/6.07 % (12552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.65/6.07 % (12552)Termination reason: Unknown
% 34.65/6.07 % (12552)Termination phase: Saturation
% 34.65/6.07
% 34.65/6.07 % (12552)Memory used [KB]: 6268
% 34.65/6.07 % (12552)Time elapsed: 0.041 s
% 34.65/6.07 % (12552)Instructions burned: 157 (million)
% 34.65/6.07 % (12552)------------------------------
% 34.65/6.07 % (12552)------------------------------
% 34.65/6.08 % (12553)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_11920 for (2953ds/5061Mi)
% 34.65/6.12 % (12551)Instruction limit reached!
% 34.65/6.12 % (12551)------------------------------
% 34.65/6.12 % (12551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.65/6.12 % (12551)Termination reason: Unknown
% 34.65/6.12 % (12551)Termination phase: Saturation
% 34.65/6.12
% 34.65/6.12 % (12551)Memory used [KB]: 6396
% 34.65/6.12 % (12551)Time elapsed: 0.087 s
% 34.65/6.12 % (12551)Instructions burned: 362 (million)
% 34.65/6.12 % (12551)------------------------------
% 34.65/6.12 % (12551)------------------------------
% 35.25/6.13 % (12554)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_11920 for (2952ds/2401Mi)
% 35.25/6.14 % (12550)Instruction limit reached!
% 35.25/6.14 % (12550)------------------------------
% 35.25/6.14 % (12550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.25/6.14 % (12550)Termination reason: Unknown
% 35.25/6.14 % (12550)Termination phase: Saturation
% 35.25/6.14
% 35.25/6.14 % (12550)Memory used [KB]: 12409
% 35.25/6.14 % (12550)Time elapsed: 0.137 s
% 35.25/6.14 % (12550)Instructions burned: 457 (million)
% 35.25/6.14 % (12550)------------------------------
% 35.25/6.14 % (12550)------------------------------
% 35.25/6.15 % (12555)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_11920 for (2952ds/5798Mi)
% 35.25/6.16 % (12547)Instruction limit reached!
% 35.25/6.16 % (12547)------------------------------
% 35.25/6.16 % (12547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.25/6.16 % (12547)Termination reason: Unknown
% 35.25/6.16 % (12547)Termination phase: Saturation
% 35.25/6.16
% 35.25/6.16 % (12547)Memory used [KB]: 7036
% 35.25/6.16 % (12547)Time elapsed: 0.273 s
% 35.25/6.16 % (12547)Instructions burned: 1046 (million)
% 35.25/6.16 % (12547)------------------------------
% 35.25/6.16 % (12547)------------------------------
% 35.25/6.17 % (12556)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_11920 for (2952ds/346Mi)
% 35.25/6.18 % (12544)Instruction limit reached!
% 35.25/6.18 % (12544)------------------------------
% 35.25/6.18 % (12544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.25/6.18 % (12544)Termination reason: Unknown
% 35.25/6.18 % (12544)Termination phase: Saturation
% 35.25/6.18
% 35.25/6.18 % (12544)Memory used [KB]: 8059
% 35.25/6.18 % (12544)Time elapsed: 0.363 s
% 35.25/6.18 % (12544)Instructions burned: 1175 (million)
% 35.25/6.18 % (12544)------------------------------
% 35.25/6.18 % (12544)------------------------------
% 35.25/6.19 % (12557)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_11920 for (2952ds/1321Mi)
% 35.63/6.22 % (12546)Refutation not found, non-redundant clauses discarded% (12546)------------------------------
% 35.63/6.22 % (12546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.63/6.22 % (12546)Termination reason: Refutation not found, non-redundant clauses discarded
% 35.63/6.22
% 35.63/6.22 % (12546)Memory used [KB]: 9083
% 35.63/6.22 % (12546)Time elapsed: 0.351 s
% 35.63/6.22 % (12546)Instructions burned: 1158 (million)
% 35.63/6.22 % (12546)------------------------------
% 35.63/6.22 % (12546)------------------------------
% 35.63/6.23 % (12558)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_11920 for (2951ds/1312Mi)
% 35.63/6.25 % (12556)Instruction limit reached!
% 35.63/6.25 % (12556)------------------------------
% 35.63/6.25 % (12556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.63/6.25 % (12556)Termination reason: Unknown
% 35.63/6.25 % (12556)Termination phase: Saturation
% 35.63/6.25
% 35.63/6.25 % (12556)Memory used [KB]: 7675
% 35.63/6.25 % (12556)Time elapsed: 0.085 s
% 35.63/6.25 % (12556)Instructions burned: 347 (million)
% 35.63/6.25 % (12556)------------------------------
% 35.63/6.25 % (12556)------------------------------
% 35.63/6.26 % (12559)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_11920 for (2951ds/672Mi)
% 35.96/6.47 % (12559)Instruction limit reached!
% 35.96/6.47 % (12559)------------------------------
% 35.96/6.47 % (12559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.96/6.47 % (12559)Termination reason: Unknown
% 35.96/6.47 % (12559)Termination phase: Saturation
% 35.96/6.47
% 35.96/6.47 % (12559)Memory used [KB]: 9210
% 35.96/6.47 % (12559)Time elapsed: 0.206 s
% 35.96/6.47 % (12559)Instructions burned: 672 (million)
% 35.96/6.47 % (12559)------------------------------
% 35.96/6.47 % (12559)------------------------------
% 35.96/6.48 % (12560)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_11920 for (2949ds/1897Mi)
% 36.28/6.58 % (12558)Instruction limit reached!
% 36.28/6.58 % (12558)------------------------------
% 36.28/6.58 % (12558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.28/6.58 % (12558)Termination reason: Unknown
% 36.28/6.58 % (12558)Termination phase: Saturation
% 36.28/6.58
% 36.28/6.58 % (12558)Memory used [KB]: 8315
% 36.28/6.58 % (12558)Time elapsed: 0.346 s
% 36.28/6.58 % (12558)Instructions burned: 1312 (million)
% 36.28/6.58 % (12558)------------------------------
% 36.28/6.58 % (12558)------------------------------
% 36.28/6.59 % (12557)Instruction limit reached!
% 36.28/6.59 % (12557)------------------------------
% 36.28/6.59 % (12557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.28/6.59 % (12557)Termination reason: Unknown
% 36.28/6.59 % (12557)Termination phase: Saturation
% 36.28/6.59
% 36.28/6.59 % (12557)Memory used [KB]: 4861
% 36.28/6.59 % (12557)Time elapsed: 0.400 s
% 36.28/6.59 % (12557)Instructions burned: 1322 (million)
% 36.28/6.59 % (12557)------------------------------
% 36.28/6.59 % (12557)------------------------------
% 36.28/6.59 % (12561)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_11920 for (2948ds/1202Mi)
% 37.14/6.60 % (12562)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_11920 for (2948ds/1493Mi)
% 37.35/6.83 % (12554)Instruction limit reached!
% 37.35/6.83 % (12554)------------------------------
% 37.35/6.83 % (12554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.35/6.83 % (12554)Termination reason: Unknown
% 37.35/6.83 % (12554)Termination phase: Saturation
% 37.35/6.83
% 37.35/6.83 % (12554)Memory used [KB]: 6652
% 37.35/6.83 % (12554)Time elapsed: 0.707 s
% 37.35/6.83 % (12554)Instructions burned: 2402 (million)
% 37.35/6.83 % (12554)------------------------------
% 37.35/6.83 % (12554)------------------------------
% 37.35/6.84 % (12563)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_11920 for (2945ds/7679Mi)
% 38.16/6.93 % (12561)Instruction limit reached!
% 38.16/6.93 % (12561)------------------------------
% 38.16/6.93 % (12561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.16/6.93 % (12561)Termination reason: Unknown
% 38.16/6.93 % (12561)Termination phase: Saturation
% 38.16/6.93
% 38.16/6.93 % (12561)Memory used [KB]: 6012
% 38.16/6.93 % (12561)Time elapsed: 0.342 s
% 38.16/6.93 % (12561)Instructions burned: 1202 (million)
% 38.16/6.93 % (12561)------------------------------
% 38.16/6.93 % (12561)------------------------------
% 38.16/6.94 % (12564)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_11920 for (2944ds/340Mi)
% 38.16/7.00 % (12562)Instruction limit reached!
% 38.16/7.00 % (12562)------------------------------
% 38.16/7.00 % (12562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.16/7.00 % (12562)Termination reason: Unknown
% 38.16/7.00 % (12562)Termination phase: Saturation
% 38.16/7.00
% 38.16/7.00 % (12562)Memory used [KB]: 7675
% 38.16/7.00 % (12562)Time elapsed: 0.401 s
% 38.16/7.00 % (12562)Instructions burned: 1495 (million)
% 38.16/7.00 % (12562)------------------------------
% 38.16/7.00 % (12562)------------------------------
% 38.16/7.01 % (12565)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_11920 for (2944ds/3672Mi)
% 41.66/7.05 % (12564)Instruction limit reached!
% 41.66/7.05 % (12564)------------------------------
% 41.66/7.05 % (12564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.66/7.05 % (12564)Termination reason: Unknown
% 41.66/7.05 % (12564)Termination phase: Saturation
% 41.66/7.05
% 41.66/7.05 % (12564)Memory used [KB]: 8315
% 41.66/7.05 % (12564)Time elapsed: 0.108 s
% 41.66/7.05 % (12564)Instructions burned: 340 (million)
% 41.66/7.05 % (12564)------------------------------
% 41.66/7.05 % (12564)------------------------------
% 41.66/7.06 % (12566)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_11920 for (2943ds/1535Mi)
% 41.66/7.07 % (12560)Instruction limit reached!
% 41.66/7.07 % (12560)------------------------------
% 41.66/7.07 % (12560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.66/7.07 % (12560)Termination reason: Unknown
% 41.66/7.07 % (12560)Termination phase: Saturation
% 41.66/7.07
% 41.66/7.07 % (12560)Memory used [KB]: 11513
% 41.66/7.07 % (12560)Time elapsed: 0.588 s
% 41.66/7.07 % (12560)Instructions burned: 1899 (million)
% 41.66/7.07 % (12560)------------------------------
% 41.66/7.07 % (12560)------------------------------
% 41.66/7.08 % (12567)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_11920 for (2943ds/4637Mi)
% 42.86/7.36 % (12534)Instruction limit reached!
% 42.86/7.36 % (12534)------------------------------
% 42.86/7.36 % (12534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.86/7.36 % (12534)Termination reason: Unknown
% 42.86/7.36 % (12534)Termination phase: Saturation
% 42.86/7.36
% 42.86/7.36 % (12534)Memory used [KB]: 11385
% 42.86/7.36 % (12534)Time elapsed: 1.984 s
% 42.86/7.36 % (12534)Instructions burned: 6456 (million)
% 42.86/7.36 % (12534)------------------------------
% 42.86/7.36 % (12534)------------------------------
% 42.86/7.37 % (12568)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_11920 for (2940ds/3174Mi)
% 43.23/7.41 % (12566)Instruction limit reached!
% 43.23/7.41 % (12566)------------------------------
% 43.23/7.41 % (12566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.23/7.41 % (12566)Termination reason: Unknown
% 43.23/7.41 % (12566)Termination phase: Saturation
% 43.23/7.41
% 43.23/7.41 % (12566)Memory used [KB]: 9083
% 43.23/7.41 % (12566)Time elapsed: 0.356 s
% 43.23/7.41 % (12566)Instructions burned: 1535 (million)
% 43.23/7.41 % (12566)------------------------------
% 43.23/7.41 % (12566)------------------------------
% 43.23/7.42 % (12569)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_11920 for (2939ds/307Mi)
% 43.23/7.48 % (12553)Instruction limit reached!
% 43.23/7.48 % (12553)------------------------------
% 43.23/7.48 % (12553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.23/7.48 % (12553)Termination reason: Unknown
% 43.23/7.48 % (12553)Termination phase: Saturation
% 43.23/7.48
% 43.23/7.48 % (12553)Memory used [KB]: 8443
% 43.23/7.48 % (12553)Time elapsed: 1.398 s
% 43.23/7.48 % (12553)Instructions burned: 5064 (million)
% 43.23/7.48 % (12553)------------------------------
% 43.23/7.48 % (12553)------------------------------
% 43.23/7.49 % (12570)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_11920 for (2939ds/3619Mi)
% 43.23/7.50 % (12569)Instruction limit reached!
% 43.23/7.50 % (12569)------------------------------
% 43.23/7.50 % (12569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.23/7.50 % (12569)Termination reason: Unknown
% 43.23/7.50 % (12569)Termination phase: Saturation
% 43.23/7.50
% 43.23/7.50 % (12569)Memory used [KB]: 6140
% 43.23/7.50 % (12569)Time elapsed: 0.075 s
% 43.23/7.50 % (12569)Instructions burned: 309 (million)
% 43.23/7.50 % (12569)------------------------------
% 43.23/7.50 % (12569)------------------------------
% 43.97/7.50 % (12571)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_11920 for (2939ds/2325Mi)
% 44.78/7.90 % (12555)Instruction limit reached!
% 44.78/7.90 % (12555)------------------------------
% 44.78/7.90 % (12555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.78/7.90 % (12555)Termination reason: Unknown
% 44.78/7.90 % (12555)Termination phase: Saturation
% 44.78/7.90
% 44.78/7.90 % (12555)Memory used [KB]: 12153
% 44.78/7.90 % (12555)Time elapsed: 1.753 s
% 44.78/7.90 % (12555)Instructions burned: 5800 (million)
% 44.78/7.90 % (12555)------------------------------
% 44.78/7.90 % (12555)------------------------------
% 44.78/7.92 % (12572)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_11920 for (2934ds/2341Mi)
% 49.41/8.14 % (12565)Instruction limit reached!
% 49.41/8.14 % (12565)------------------------------
% 49.41/8.14 % (12565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.41/8.14 % (12565)Termination reason: Unknown
% 49.41/8.14 % (12565)Termination phase: Saturation
% 49.41/8.14
% 49.41/8.14 % (12565)Memory used [KB]: 10874
% 49.41/8.14 % (12565)Time elapsed: 1.138 s
% 49.41/8.14 % (12565)Instructions burned: 3672 (million)
% 49.41/8.14 % (12565)------------------------------
% 49.41/8.14 % (12565)------------------------------
% 49.41/8.16 % (12573)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_11920 for (2932ds/7257Mi)
% 49.87/8.21 % (12571)Instruction limit reached!
% 49.87/8.21 % (12571)------------------------------
% 49.87/8.21 % (12571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.87/8.21 % (12571)Termination reason: Unknown
% 49.87/8.21 % (12571)Termination phase: Saturation
% 49.87/8.21
% 49.87/8.21 % (12571)Memory used [KB]: 14456
% 49.87/8.21 % (12571)Time elapsed: 0.711 s
% 49.87/8.21 % (12571)Instructions burned: 2327 (million)
% 49.87/8.21 % (12571)------------------------------
% 49.87/8.21 % (12571)------------------------------
% 49.87/8.23 % (12574)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_11920 for (2931ds/3710Mi)
% 50.41/8.33 % (12568)Instruction limit reached!
% 50.41/8.33 % (12568)------------------------------
% 50.41/8.33 % (12568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.41/8.33 % (12568)Termination reason: Unknown
% 50.41/8.33 % (12568)Termination phase: Saturation
% 50.41/8.33
% 50.41/8.33 % (12568)Memory used [KB]: 16119
% 50.41/8.33 % (12568)Time elapsed: 0.958 s
% 50.41/8.33 % (12568)Instructions burned: 3174 (million)
% 50.41/8.33 % (12568)------------------------------
% 50.41/8.33 % (12568)------------------------------
% 50.41/8.34 % (12575)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_11920 for (2930ds/326Mi)
% 50.86/8.44 % (12575)Instruction limit reached!
% 50.86/8.44 % (12575)------------------------------
% 50.86/8.44 % (12575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.86/8.44 % (12575)Termination reason: Unknown
% 50.86/8.44 % (12575)Termination phase: Saturation
% 50.86/8.44
% 50.86/8.44 % (12575)Memory used [KB]: 7164
% 50.86/8.44 % (12575)Time elapsed: 0.102 s
% 50.86/8.44 % (12575)Instructions burned: 328 (million)
% 50.86/8.44 % (12575)------------------------------
% 50.86/8.44 % (12575)------------------------------
% 50.86/8.45 % (12576)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_11920 for (2929ds/1100Mi)
% 50.86/8.45 % (12567)Instruction limit reached!
% 50.86/8.45 % (12567)------------------------------
% 50.86/8.45 % (12567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.86/8.45 % (12567)Termination reason: Unknown
% 50.86/8.45 % (12567)Termination phase: Saturation
% 50.86/8.45
% 50.86/8.45 % (12567)Memory used [KB]: 8827
% 50.86/8.45 % (12567)Time elapsed: 1.378 s
% 50.86/8.45 % (12567)Instructions burned: 4638 (million)
% 50.86/8.45 % (12567)------------------------------
% 50.86/8.45 % (12567)------------------------------
% 50.86/8.46 % (12577)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_11920 for (2929ds/406Mi)
% 51.33/8.51 % (12577)Refutation not found, incomplete strategy
% 51.33/8.51 % (12577)------------------------------
% 51.33/8.51 % (12577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.33/8.51 % (12577)Termination reason: Refutation not found, incomplete strategy
% 51.33/8.51
% 51.33/8.51
% 51.33/8.51 % (12577)Memory used [KB]: 6396
% 51.33/8.51 % (12577)Time elapsed: 0.053 s
% 51.33/8.51 % (12577)Instructions burned: 181 (million)
% 51.33/8.51 % (12577)------------------------------
% 51.33/8.51 % (12577)------------------------------
% 51.33/8.52 % (12578)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_11920 for (2928ds/1871Mi)
% 51.69/8.61 % (12570)Instruction limit reached!
% 51.69/8.61 % (12570)------------------------------
% 51.69/8.61 % (12570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.69/8.61 % (12570)Termination reason: Unknown
% 51.69/8.61 % (12570)Termination phase: Saturation
% 51.69/8.61
% 51.69/8.61 % (12570)Memory used [KB]: 16247
% 51.69/8.61 % (12570)Time elapsed: 1.119 s
% 51.69/8.61 % (12570)Instructions burned: 3622 (million)
% 51.69/8.61 % (12570)------------------------------
% 51.69/8.61 % (12570)------------------------------
% 51.69/8.62 % (12579)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_11920 for (2927ds/1194Mi)
% 51.69/8.64 % (12572)Instruction limit reached!
% 51.69/8.64 % (12572)------------------------------
% 51.69/8.64 % (12572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.69/8.64 % (12572)Termination reason: Unknown
% 51.69/8.64 % (12572)Termination phase: Saturation
% 51.69/8.64
% 51.69/8.64 % (12572)Memory used [KB]: 9210
% 51.69/8.64 % (12572)Time elapsed: 0.729 s
% 51.69/8.64 % (12572)Instructions burned: 2342 (million)
% 51.69/8.64 % (12572)------------------------------
% 51.69/8.64 % (12572)------------------------------
% 51.69/8.65 % (12580)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_11920 for (2927ds/474Mi)
% 51.88/8.77 % (12580)Instruction limit reached!
% 51.88/8.77 % (12580)------------------------------
% 51.88/8.77 % (12580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.88/8.77 % (12580)Termination reason: Unknown
% 51.88/8.77 % (12580)Termination phase: Saturation
% 51.88/8.77
% 51.88/8.77 % (12580)Memory used [KB]: 7803
% 51.88/8.77 % (12580)Time elapsed: 0.115 s
% 51.88/8.77 % (12580)Instructions burned: 476 (million)
% 51.88/8.77 % (12580)------------------------------
% 51.88/8.77 % (12580)------------------------------
% 51.88/8.78 % (12581)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_11920 for (2926ds/3115Mi)
% 52.12/8.80 % (12576)Instruction limit reached!
% 52.12/8.80 % (12576)------------------------------
% 52.12/8.80 % (12576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.12/8.80 % (12576)Termination reason: Unknown
% 52.12/8.80 % (12576)Termination phase: Saturation
% 52.12/8.80
% 52.12/8.80 % (12576)Memory used [KB]: 10362
% 52.12/8.80 % (12576)Time elapsed: 0.353 s
% 52.12/8.80 % (12576)Instructions burned: 1101 (million)
% 52.12/8.80 % (12576)------------------------------
% 52.12/8.80 % (12576)------------------------------
% 52.12/8.81 % (12582)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_11920 for (2926ds/831Mi)
% 52.58/8.99 % (12579)Instruction limit reached!
% 52.58/8.99 % (12579)------------------------------
% 52.58/8.99 % (12579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.58/8.99 % (12579)Termination reason: Unknown
% 52.58/8.99 % (12579)Termination phase: Saturation
% 52.58/8.99
% 52.58/8.99 % (12579)Memory used [KB]: 9978
% 52.58/8.99 % (12579)Time elapsed: 0.370 s
% 52.58/8.99 % (12579)Instructions burned: 1195 (million)
% 52.58/8.99 % (12579)------------------------------
% 52.58/8.99 % (12579)------------------------------
% 52.58/9.00 % (12583)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_11920 for (2924ds/1188Mi)
% 55.72/9.07 % (12582)Instruction limit reached!
% 55.72/9.07 % (12582)------------------------------
% 55.72/9.07 % (12582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.72/9.07 % (12582)Termination reason: Unknown
% 55.72/9.07 % (12582)Termination phase: Saturation
% 55.72/9.07
% 55.72/9.07 % (12582)Memory used [KB]: 7675
% 55.72/9.07 % (12582)Time elapsed: 0.261 s
% 55.72/9.07 % (12582)Instructions burned: 834 (million)
% 55.72/9.07 % (12582)------------------------------
% 55.72/9.07 % (12582)------------------------------
% 55.72/9.08 % (12584)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_11920 for (2923ds/2868Mi)
% 55.72/9.09 % (12574)Instruction limit reached!
% 55.72/9.09 % (12574)------------------------------
% 55.72/9.09 % (12574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.72/9.09 % (12574)Termination reason: Unknown
% 55.72/9.09 % (12574)Termination phase: Saturation
% 55.72/9.09
% 55.72/9.09 % (12574)Memory used [KB]: 8571
% 55.72/9.09 % (12574)Time elapsed: 0.864 s
% 55.72/9.09 % (12574)Instructions burned: 3712 (million)
% 55.72/9.09 % (12574)------------------------------
% 55.72/9.09 % (12574)------------------------------
% 55.72/9.10 % (12585)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_11920 for (2923ds/1516Mi)
% 55.72/9.11 % (12578)Instruction limit reached!
% 55.72/9.11 % (12578)------------------------------
% 55.72/9.11 % (12578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.72/9.11 % (12578)Termination reason: Unknown
% 55.72/9.11 % (12578)Termination phase: Saturation
% 55.72/9.11
% 55.72/9.11 % (12578)Memory used [KB]: 13560
% 55.72/9.11 % (12578)Time elapsed: 0.586 s
% 55.72/9.11 % (12578)Instructions burned: 1873 (million)
% 55.72/9.11 % (12578)------------------------------
% 55.72/9.11 % (12578)------------------------------
% 55.72/9.12 % (12586)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_11920 for (2923ds/2321Mi)
% 56.37/9.13 % (12563)Instruction limit reached!
% 56.37/9.13 % (12563)------------------------------
% 56.37/9.13 % (12563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.37/9.13 % (12563)Termination reason: Unknown
% 56.37/9.13 % (12563)Termination phase: Saturation
% 56.37/9.13
% 56.37/9.13 % (12563)Memory used [KB]: 15607
% 56.37/9.13 % (12563)Time elapsed: 2.286 s
% 56.37/9.13 % (12563)Instructions burned: 7680 (million)
% 56.37/9.13 % (12563)------------------------------
% 56.37/9.13 % (12563)------------------------------
% 56.37/9.14 % (12587)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_11920 for (2922ds/2812Mi)
% 56.61/9.29 % (12583)Instruction limit reached!
% 56.61/9.29 % (12583)------------------------------
% 56.61/9.29 % (12583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.61/9.29 % (12583)Termination reason: Unknown
% 56.61/9.29 % (12583)Termination phase: Saturation
% 56.61/9.29
% 56.61/9.29 % (12583)Memory used [KB]: 8315
% 56.61/9.29 % (12583)Time elapsed: 0.295 s
% 56.61/9.29 % (12583)Instructions burned: 1190 (million)
% 56.61/9.29 % (12583)------------------------------
% 56.61/9.29 % (12583)------------------------------
% 56.91/9.30 % (12588)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_11920 for (2921ds/4604Mi)
% 57.31/9.50 % (12581)Instruction limit reached!
% 57.31/9.50 % (12581)------------------------------
% 57.31/9.50 % (12581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.31/9.50 % (12581)Termination reason: Unknown
% 57.31/9.50 % (12581)Termination phase: Saturation
% 57.31/9.50
% 57.31/9.50 % (12581)Memory used [KB]: 7931
% 57.31/9.50 % (12581)Time elapsed: 0.728 s
% 57.31/9.50 % (12581)Instructions burned: 3118 (million)
% 57.31/9.50 % (12581)------------------------------
% 57.31/9.50 % (12581)------------------------------
% 57.31/9.51 % (12589)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_11920 for (2918ds/2678Mi)
% 57.31/9.56 % (12585)Instruction limit reached!
% 57.31/9.56 % (12585)------------------------------
% 57.31/9.56 % (12585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.31/9.56 % (12585)Termination reason: Unknown
% 57.31/9.56 % (12585)Termination phase: Saturation
% 57.31/9.56
% 57.31/9.56 % (12585)Memory used [KB]: 10490
% 57.31/9.56 % (12585)Time elapsed: 0.485 s
% 57.31/9.56 % (12585)Instructions burned: 1517 (million)
% 57.31/9.56 % (12585)------------------------------
% 57.31/9.56 % (12585)------------------------------
% 57.31/9.57 % (12590)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_11920 for (2918ds/643Mi)
% 58.01/9.73 % (12586)Instruction limit reached!
% 58.01/9.73 % (12586)------------------------------
% 58.01/9.73 % (12586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.01/9.73 % (12586)Termination reason: Unknown
% 58.01/9.73 % (12586)Termination phase: Saturation
% 58.01/9.73
% 58.01/9.73 % (12586)Memory used [KB]: 8827
% 58.01/9.73 % (12586)Time elapsed: 0.611 s
% 58.01/9.73 % (12586)Instructions burned: 2322 (million)
% 58.01/9.73 % (12586)------------------------------
% 58.01/9.73 % (12586)------------------------------
% 58.01/9.73 % (12590)Instruction limit reached!
% 58.01/9.73 % (12590)------------------------------
% 58.01/9.73 % (12590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.01/9.73 % (12590)Termination reason: Unknown
% 58.01/9.73 % (12590)Termination phase: Saturation
% 58.01/9.73
% 58.01/9.73 % (12590)Memory used [KB]: 7803
% 58.01/9.73 % (12590)Time elapsed: 0.163 s
% 58.01/9.73 % (12590)Instructions burned: 646 (million)
% 58.01/9.73 % (12590)------------------------------
% 58.01/9.73 % (12590)------------------------------
% 58.01/9.74 % (12592)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_11920 for (2916ds/2546Mi)
% 58.01/9.75 % (12591)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_11920 for (2916ds/458Mi)
% 58.90/9.80 % (12584)Instruction limit reached!
% 58.90/9.80 % (12584)------------------------------
% 58.90/9.80 % (12584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.90/9.80 % (12584)Termination reason: Unknown
% 58.90/9.80 % (12584)Termination phase: Saturation
% 58.90/9.80
% 58.90/9.80 % (12584)Memory used [KB]: 7164
% 58.90/9.80 % (12584)Time elapsed: 0.742 s
% 58.90/9.80 % (12584)Instructions burned: 2870 (million)
% 58.90/9.80 % (12584)------------------------------
% 58.90/9.80 % (12584)------------------------------
% 58.90/9.81 % (12593)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_11920 for (2915ds/1432Mi)
% 59.72/9.91 % (12591)Instruction limit reached!
% 59.72/9.91 % (12591)------------------------------
% 59.72/9.91 % (12591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.72/9.91 % (12591)Termination reason: Unknown
% 59.72/9.91 % (12591)Termination phase: Saturation
% 59.72/9.91
% 59.72/9.91 % (12591)Memory used [KB]: 7803
% 59.72/9.91 % (12591)Time elapsed: 0.162 s
% 59.72/9.91 % (12591)Instructions burned: 458 (million)
% 59.72/9.91 % (12591)------------------------------
% 59.72/9.91 % (12591)------------------------------
% 59.72/9.92 % (12594)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_11920 for (2914ds/386Mi)
% 62.68/10.02 % (12587)Instruction limit reached!
% 62.68/10.02 % (12587)------------------------------
% 62.68/10.02 % (12587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.68/10.02 % (12587)Termination reason: Unknown
% 62.68/10.02 % (12587)Termination phase: Saturation
% 62.68/10.02
% 62.68/10.02 % (12587)Memory used [KB]: 9978
% 62.68/10.02 % (12587)Time elapsed: 0.908 s
% 62.68/10.02 % (12587)Instructions burned: 2814 (million)
% 62.68/10.02 % (12587)------------------------------
% 62.68/10.02 % (12587)------------------------------
% 62.68/10.03 % (12595)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_11920 for (2913ds/360Mi)
% 62.68/10.03 % (12594)Instruction limit reached!
% 62.68/10.03 % (12594)------------------------------
% 62.68/10.03 % (12594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.68/10.03 % (12594)Termination reason: Unknown
% 62.68/10.03 % (12594)Termination phase: Saturation
% 62.68/10.03
% 62.68/10.03 % (12594)Memory used [KB]: 6396
% 62.68/10.03 % (12594)Time elapsed: 0.115 s
% 62.68/10.03 % (12594)Instructions burned: 387 (million)
% 62.68/10.03 % (12594)------------------------------
% 62.68/10.03 % (12594)------------------------------
% 62.68/10.05 % (12596)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_11920 for (2913ds/5446Mi)
% 63.24/10.12 % (12595)Instruction limit reached!
% 63.24/10.12 % (12595)------------------------------
% 63.24/10.12 % (12595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.24/10.12 % (12595)Termination reason: Unknown
% 63.24/10.12 % (12595)Termination phase: Saturation
% 63.24/10.12
% 63.24/10.12 % (12595)Memory used [KB]: 6396
% 63.24/10.12 % (12595)Time elapsed: 0.086 s
% 63.24/10.12 % (12595)Instructions burned: 360 (million)
% 63.24/10.12 % (12595)------------------------------
% 63.24/10.12 % (12595)------------------------------
% 63.24/10.13 % (12597)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_11920 for (2912ds/2573Mi)
% 63.24/10.13 % (12593)Instruction limit reached!
% 63.24/10.13 % (12593)------------------------------
% 63.24/10.13 % (12593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.24/10.13 % (12593)Termination reason: Unknown
% 63.24/10.13 % (12593)Termination phase: Saturation
% 63.24/10.13
% 63.24/10.13 % (12593)Memory used [KB]: 9722
% 63.24/10.13 % (12593)Time elapsed: 0.324 s
% 63.24/10.13 % (12593)Instructions burned: 1433 (million)
% 63.24/10.13 % (12593)------------------------------
% 63.24/10.13 % (12593)------------------------------
% 63.24/10.14 % (12598)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_11920 for (2912ds/2655Mi)
% 63.24/10.19 % (12589)Instruction limit reached!
% 63.24/10.19 % (12589)------------------------------
% 63.24/10.19 % (12589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.24/10.19 % (12589)Termination reason: Unknown
% 63.24/10.19 % (12589)Termination phase: Saturation
% 63.24/10.19
% 63.24/10.19 % (12589)Memory used [KB]: 9338
% 63.24/10.19 % (12589)Time elapsed: 0.678 s
% 63.24/10.19 % (12589)Instructions burned: 2681 (million)
% 63.24/10.19 % (12589)------------------------------
% 63.24/10.19 % (12589)------------------------------
% 63.70/10.20 % (12599)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_11920 for (2912ds/2781Mi)
% 63.99/10.39 % (12573)Instruction limit reached!
% 63.99/10.39 % (12573)------------------------------
% 63.99/10.39 % (12573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.99/10.39 % (12573)Termination reason: Unknown
% 63.99/10.39 % (12573)Termination phase: Saturation
% 63.99/10.39
% 63.99/10.39 % (12573)Memory used [KB]: 9338
% 63.99/10.39 % (12573)Time elapsed: 2.239 s
% 63.99/10.39 % (12573)Instructions burned: 7260 (million)
% 63.99/10.39 % (12573)------------------------------
% 63.99/10.39 % (12573)------------------------------
% 64.30/10.40 % (12600)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_11920 for (2910ds/307Mi)
% 64.30/10.48 % (12600)Instruction limit reached!
% 64.30/10.48 % (12600)------------------------------
% 64.30/10.48 % (12600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.30/10.48 % (12600)Termination reason: Unknown
% 64.30/10.48 % (12600)Termination phase: Saturation
% 64.30/10.48
% 64.30/10.48 % (12600)Memory used [KB]: 6268
% 64.30/10.48 % (12600)Time elapsed: 0.079 s
% 64.30/10.48 % (12600)Instructions burned: 307 (million)
% 64.30/10.48 % (12600)------------------------------
% 64.30/10.48 % (12600)------------------------------
% 64.30/10.49 % (12601)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_11920 for (2909ds/1548Mi)
% 64.59/10.52 % (12592)Instruction limit reached!
% 64.59/10.52 % (12592)------------------------------
% 64.59/10.52 % (12592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.59/10.52 % (12592)Termination reason: Unknown
% 64.59/10.52 % (12592)Termination phase: Saturation
% 64.59/10.52
% 64.59/10.52 % (12592)Memory used [KB]: 10362
% 64.59/10.52 % (12592)Time elapsed: 0.782 s
% 64.59/10.52 % (12592)Instructions burned: 2547 (million)
% 64.59/10.52 % (12592)------------------------------
% 64.59/10.52 % (12592)------------------------------
% 64.59/10.53 % (12602)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_11920 for (2908ds/5214Mi)
% 64.83/10.70 % (12588)Instruction limit reached!
% 64.83/10.70 % (12588)------------------------------
% 64.83/10.70 % (12588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.83/10.70 % (12588)Termination reason: Unknown
% 64.83/10.70 % (12588)Termination phase: Saturation
% 64.83/10.70
% 64.83/10.70 % (12588)Memory used [KB]: 13176
% 64.83/10.70 % (12588)Time elapsed: 1.400 s
% 64.83/10.70 % (12588)Instructions burned: 4605 (million)
% 64.83/10.70 % (12588)------------------------------
% 64.83/10.70 % (12588)------------------------------
% 64.83/10.71 % (12603)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_11920 for (2906ds/3201Mi)
% 64.83/10.76 % (12597)Instruction limit reached!
% 64.83/10.76 % (12597)------------------------------
% 64.83/10.76 % (12597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.83/10.76 % (12597)Termination reason: Unknown
% 64.83/10.76 % (12597)Termination phase: Saturation
% 64.83/10.76
% 64.83/10.76 % (12597)Memory used [KB]: 8443
% 64.83/10.76 % (12597)Time elapsed: 0.635 s
% 64.83/10.76 % (12597)Instructions burned: 2574 (million)
% 64.83/10.76 % (12597)------------------------------
% 64.83/10.76 % (12597)------------------------------
% 64.83/10.77 % (12604)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_11920 for (2906ds/454Mi)
% 65.49/10.80 % (12598)Instruction limit reached!
% 65.49/10.80 % (12598)------------------------------
% 65.49/10.80 % (12598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.49/10.80 % (12598)Termination reason: Unknown
% 65.49/10.80 % (12598)Termination phase: Saturation
% 65.49/10.80
% 65.49/10.80 % (12598)Memory used [KB]: 3709
% 65.49/10.80 % (12598)Time elapsed: 0.663 s
% 65.49/10.80 % (12598)Instructions burned: 2656 (million)
% 65.49/10.80 % (12598)------------------------------
% 65.49/10.80 % (12598)------------------------------
% 65.49/10.81 % (12605)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_11920 for (2905ds/3049Mi)
% 65.49/10.88 % (12604)Instruction limit reached!
% 65.49/10.88 % (12604)------------------------------
% 65.49/10.88 % (12604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.49/10.88 % (12604)Termination reason: Unknown
% 65.49/10.88 % (12604)Termination phase: Saturation
% 65.49/10.88
% 65.49/10.88 % (12604)Memory used [KB]: 12281
% 65.49/10.88 % (12604)Time elapsed: 0.115 s
% 65.49/10.88 % (12604)Instructions burned: 454 (million)
% 65.49/10.88 % (12604)------------------------------
% 65.49/10.88 % (12604)------------------------------
% 65.49/10.89 % (12606)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_11920 for (2905ds/7311Mi)
% 66.29/10.95 % (12601)Instruction limit reached!
% 66.29/10.95 % (12601)------------------------------
% 66.29/10.95 % (12601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.29/10.95 % (12601)Termination reason: Unknown
% 66.29/10.95 % (12601)Termination phase: Saturation
% 66.29/10.95
% 66.29/10.95 % (12601)Memory used [KB]: 8571
% 66.29/10.95 % (12601)Time elapsed: 0.458 s
% 66.29/10.95 % (12601)Instructions burned: 1550 (million)
% 66.29/10.95 % (12601)------------------------------
% 66.29/10.95 % (12601)------------------------------
% 66.29/10.96 % (12607)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_11920 for (2904ds/6804Mi)
% 69.78/11.04 % (12599)Instruction limit reached!
% 69.78/11.04 % (12599)------------------------------
% 69.78/11.04 % (12599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.78/11.04 % (12599)Termination reason: Unknown
% 69.78/11.04 % (12599)Termination phase: Saturation
% 69.78/11.04
% 69.78/11.04 % (12599)Memory used [KB]: 6652
% 69.78/11.04 % (12599)Time elapsed: 0.843 s
% 69.78/11.04 % (12599)Instructions burned: 2781 (million)
% 69.78/11.04 % (12599)------------------------------
% 69.78/11.04 % (12599)------------------------------
% 69.78/11.05 % (12608)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_11920 for (2903ds/1683Mi)
% 72.66/11.55 % (12608)Instruction limit reached!
% 72.66/11.55 % (12608)------------------------------
% 72.66/11.55 % (12608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.66/11.55 % (12608)Termination reason: Unknown
% 72.66/11.55 % (12608)Termination phase: Saturation
% 72.66/11.55
% 72.66/11.55 % (12608)Memory used [KB]: 14328
% 72.66/11.55 % (12608)Time elapsed: 0.525 s
% 72.66/11.55 % (12608)Instructions burned: 1684 (million)
% 72.66/11.55 % (12608)------------------------------
% 72.66/11.55 % (12608)------------------------------
% 72.66/11.56 % (12609)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_11920 for (2898ds/4688Mi)
% 72.66/11.58 % (12602)Instruction limit reached!
% 72.66/11.58 % (12602)------------------------------
% 72.66/11.58 % (12602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.66/11.58 % (12602)Termination reason: Unknown
% 72.66/11.58 % (12602)Termination phase: Saturation
% 72.66/11.58
% 72.66/11.58 % (12602)Memory used [KB]: 7291
% 72.66/11.58 % (12602)Time elapsed: 1.055 s
% 72.66/11.58 % (12602)Instructions burned: 5215 (million)
% 72.66/11.58 % (12602)------------------------------
% 72.66/11.58 % (12602)------------------------------
% 72.66/11.60 % (12610)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_11920 for (2898ds/2207Mi)
% 74.26/11.72 % (12603)Instruction limit reached!
% 74.26/11.72 % (12603)------------------------------
% 74.26/11.72 % (12603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 74.26/11.72 % (12603)Termination reason: Unknown
% 74.26/11.72 % (12603)Termination phase: Saturation
% 74.26/11.72
% 74.26/11.72 % (12603)Memory used [KB]: 9850
% 74.26/11.72 % (12603)Time elapsed: 1.013 s
% 74.26/11.72 % (12603)Instructions burned: 3202 (million)
% 74.26/11.72 % (12603)------------------------------
% 74.26/11.72 % (12603)------------------------------
% 74.26/11.73 % (12611)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_11920 for (2896ds/8216Mi)
% 74.26/11.76 % (12605)Instruction limit reached!
% 74.26/11.76 % (12605)------------------------------
% 74.26/11.76 % (12605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 74.26/11.76 % (12605)Termination reason: Unknown
% 74.26/11.76 % (12605)Termination phase: Saturation
% 74.26/11.76
% 74.26/11.76 % (12605)Memory used [KB]: 9594
% 74.26/11.76 % (12605)Time elapsed: 0.948 s
% 74.26/11.76 % (12605)Instructions burned: 3051 (million)
% 74.26/11.76 % (12605)------------------------------
% 74.26/11.76 % (12605)------------------------------
% 74.26/11.77 % (12612)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_11920 for (2896ds/430Mi)
% 74.67/11.82 % (12596)Instruction limit reached!
% 74.67/11.82 % (12596)------------------------------
% 74.67/11.82 % (12596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 74.67/11.82 % (12596)Termination reason: Unknown
% 74.67/11.82 % (12596)Termination phase: Saturation
% 74.67/11.82
% 74.67/11.82 % (12596)Memory used [KB]: 13304
% 74.67/11.82 % (12596)Time elapsed: 1.768 s
% 74.67/11.82 % (12596)Instructions burned: 5448 (million)
% 74.67/11.82 % (12596)------------------------------
% 74.67/11.82 % (12596)------------------------------
% 74.67/11.83 % (12613)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_11920 for (2895ds/2012Mi)
% 74.67/11.87 % (12612)Instruction limit reached!
% 74.67/11.87 % (12612)------------------------------
% 74.67/11.87 % (12612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 74.67/11.87 % (12612)Termination reason: Unknown
% 74.67/11.87 % (12612)Termination phase: Saturation
% 74.67/11.87
% 74.67/11.87 % (12612)Memory used [KB]: 8187
% 74.67/11.87 % (12612)Time elapsed: 0.107 s
% 74.67/11.87 % (12612)Instructions burned: 431 (million)
% 74.67/11.87 % (12612)------------------------------
% 74.67/11.87 % (12612)------------------------------
% 74.67/11.88 % (12614)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_11920 for (2895ds/631Mi)
% 76.80/12.07 % (12614)Instruction limit reached!
% 76.80/12.07 % (12614)------------------------------
% 76.80/12.07 % (12614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.80/12.07 % (12614)Termination reason: Unknown
% 76.80/12.07 % (12614)Termination phase: Saturation
% 76.80/12.07
% 76.80/12.07 % (12614)Memory used [KB]: 6780
% 76.80/12.07 % (12614)Time elapsed: 0.193 s
% 76.80/12.07 % (12614)Instructions burned: 631 (million)
% 76.80/12.07 % (12614)------------------------------
% 76.80/12.07 % (12614)------------------------------
% 76.80/12.09 % (12615)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_11920 for (2893ds/8785Mi)
% 77.90/12.29 % (12610)Instruction limit reached!
% 77.90/12.29 % (12610)------------------------------
% 77.90/12.29 % (12610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.90/12.29 % (12610)Termination reason: Unknown
% 77.90/12.29 % (12610)Termination phase: Saturation
% 77.90/12.29
% 77.90/12.29 % (12610)Memory used [KB]: 8955
% 77.90/12.29 % (12610)Time elapsed: 0.718 s
% 77.90/12.29 % (12610)Instructions burned: 2208 (million)
% 77.90/12.29 % (12610)------------------------------
% 77.90/12.29 % (12610)------------------------------
% 78.52/12.30 % (12616)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_11920 for (2891ds/739Mi)
% 79.02/12.41 % (12613)Instruction limit reached!
% 79.02/12.41 % (12613)------------------------------
% 79.02/12.41 % (12613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.02/12.41 % (12613)Termination reason: Unknown
% 79.02/12.41 % (12613)Termination phase: Saturation
% 79.02/12.41
% 79.02/12.41 % (12613)Memory used [KB]: 15351
% 79.02/12.41 % (12613)Time elapsed: 0.586 s
% 79.02/12.41 % (12613)Instructions burned: 2014 (million)
% 79.02/12.41 % (12613)------------------------------
% 79.02/12.41 % (12613)------------------------------
% 79.02/12.42 % (12617)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_11920 for (2889ds/5473Mi)
% 79.44/12.53 % (12616)Instruction limit reached!
% 79.44/12.53 % (12616)------------------------------
% 79.44/12.53 % (12616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.44/12.53 % (12616)Termination reason: Unknown
% 79.44/12.53 % (12616)Termination phase: Saturation
% 79.44/12.53
% 79.44/12.53 % (12616)Memory used [KB]: 9722
% 79.44/12.53 % (12616)Time elapsed: 0.229 s
% 79.44/12.53 % (12616)Instructions burned: 739 (million)
% 79.44/12.53 % (12616)------------------------------
% 79.44/12.53 % (12616)------------------------------
% 79.44/12.54 % (12618)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_11920 for (2888ds/43570Mi)
% 81.29/12.98 % (12609)Instruction limit reached!
% 81.29/12.98 % (12609)------------------------------
% 81.29/12.98 % (12609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 81.29/12.98 % (12609)Termination reason: Unknown
% 81.29/12.98 % (12609)Termination phase: Saturation
% 81.29/12.98
% 81.29/12.98 % (12609)Memory used [KB]: 13048
% 81.29/12.98 % (12609)Time elapsed: 1.435 s
% 81.29/12.98 % (12609)Instructions burned: 4689 (million)
% 81.29/12.98 % (12609)------------------------------
% 81.29/12.98 % (12609)------------------------------
% 81.29/12.99 % (12619)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_11920 for (2884ds/8382Mi)
% 83.82/13.07 % (12607)Instruction limit reached!
% 83.82/13.07 % (12607)------------------------------
% 83.82/13.07 % (12607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.82/13.07 % (12607)Termination reason: Unknown
% 83.82/13.07 % (12607)Termination phase: Saturation
% 83.82/13.07
% 83.82/13.07 % (12607)Memory used [KB]: 16630
% 83.82/13.07 % (12607)Time elapsed: 2.112 s
% 83.82/13.07 % (12607)Instructions burned: 6804 (million)
% 83.82/13.07 % (12607)------------------------------
% 83.82/13.07 % (12607)------------------------------
% 83.82/13.08 % (12620)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_11920 for (2883ds/407Mi)
% 84.94/13.20 % (12620)Instruction limit reached!
% 84.94/13.20 % (12620)------------------------------
% 84.94/13.20 % (12620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.94/13.20 % (12620)Termination reason: Unknown
% 84.94/13.20 % (12620)Termination phase: Saturation
% 84.94/13.20
% 84.94/13.20 % (12620)Memory used [KB]: 7419
% 84.94/13.20 % (12620)Time elapsed: 0.146 s
% 84.94/13.20 % (12620)Instructions burned: 409 (million)
% 84.94/13.20 % (12620)------------------------------
% 84.94/13.20 % (12620)------------------------------
% 84.94/13.21 % (12621)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_11920 for (2881ds/2971Mi)
% 84.94/13.24 % (12606)Instruction limit reached!
% 84.94/13.24 % (12606)------------------------------
% 84.94/13.24 % (12606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.94/13.24 % (12606)Termination reason: Unknown
% 84.94/13.24 % (12606)Termination phase: Saturation
% 84.94/13.24
% 84.94/13.24 % (12606)Memory used [KB]: 19829
% 84.94/13.24 % (12606)Time elapsed: 2.344 s
% 84.94/13.24 % (12606)Instructions burned: 7314 (million)
% 84.94/13.24 % (12606)------------------------------
% 84.94/13.24 % (12606)------------------------------
% 84.94/13.25 % (12622)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_11920 for (2881ds/9822Mi)
% 88.62/13.99 % (12621)Instruction limit reached!
% 88.62/13.99 % (12621)------------------------------
% 88.62/13.99 % (12621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 88.62/13.99 % (12621)Termination reason: Unknown
% 88.62/13.99 % (12621)Termination phase: Saturation
% 88.62/13.99
% 88.62/13.99 % (12621)Memory used [KB]: 7419
% 88.62/13.99 % (12621)Time elapsed: 0.781 s
% 88.62/13.99 % (12621)Instructions burned: 2973 (million)
% 88.62/13.99 % (12621)------------------------------
% 88.62/13.99 % (12621)------------------------------
% 88.62/14.00 % (12623)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_11920 for (2874ds/8425Mi)
% 90.85/14.04 % (12617)Instruction limit reached!
% 90.85/14.04 % (12617)------------------------------
% 90.85/14.04 % (12617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.85/14.04 % (12617)Termination reason: Unknown
% 90.85/14.04 % (12617)Termination phase: Saturation
% 90.85/14.04
% 90.85/14.04 % (12617)Memory used [KB]: 10618
% 90.85/14.04 % (12617)Time elapsed: 1.616 s
% 90.85/14.04 % (12617)Instructions burned: 5474 (million)
% 90.85/14.04 % (12617)------------------------------
% 90.85/14.04 % (12617)------------------------------
% 90.85/14.05 % (12624)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_11920 for (2873ds/3107Mi)
% 91.48/14.14 % (12611)Instruction limit reached!
% 91.48/14.14 % (12611)------------------------------
% 91.48/14.14 % (12611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.48/14.14 % (12611)Termination reason: Unknown
% 91.48/14.14 % (12611)Termination phase: Saturation
% 91.48/14.14
% 91.48/14.14 % (12611)Memory used [KB]: 12025
% 91.48/14.14 % (12611)Time elapsed: 2.405 s
% 91.48/14.14 % (12611)Instructions burned: 8219 (million)
% 91.48/14.14 % (12611)------------------------------
% 91.48/14.14 % (12611)------------------------------
% 91.48/14.15 % (12626)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_11920 for (2872ds/7967Mi)
% 94.89/14.84 % (12615)Instruction limit reached!
% 94.89/14.84 % (12615)------------------------------
% 94.89/14.84 % (12615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.89/14.84 % (12615)Termination reason: Unknown
% 94.89/14.84 % (12615)Termination phase: Saturation
% 94.89/14.84
% 94.89/14.84 % (12615)Memory used [KB]: 18549
% 94.89/14.84 % (12615)Time elapsed: 2.756 s
% 94.89/14.84 % (12615)Instructions burned: 8787 (million)
% 94.89/14.84 % (12615)------------------------------
% 94.89/14.84 % (12615)------------------------------
% 94.89/14.85 % (12816)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_11920 for (2865ds/3629Mi)
% 95.34/14.97 % (12624)Instruction limit reached!
% 95.34/14.97 % (12624)------------------------------
% 95.34/14.97 % (12624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 95.34/14.97 % (12624)Termination reason: Unknown
% 95.34/14.97 % (12624)Termination phase: Saturation
% 95.34/14.97
% 95.34/14.97 % (12624)Memory used [KB]: 20468
% 95.34/14.97 % (12624)Time elapsed: 0.928 s
% 95.34/14.97 % (12624)Instructions burned: 3108 (million)
% 95.34/14.97 % (12624)------------------------------
% 95.34/14.97 % (12624)------------------------------
% 95.34/14.99 % (12871)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_11920 for (2864ds/939Mi)
% 99.10/15.25 % (12619)Instruction limit reached!
% 99.10/15.25 % (12619)------------------------------
% 99.10/15.25 % (12619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.10/15.25 % (12619)Termination reason: Unknown
% 99.10/15.25 % (12619)Termination phase: Saturation
% 99.10/15.25
% 99.10/15.25 % (12619)Memory used [KB]: 12537
% 99.10/15.25 % (12619)Time elapsed: 2.263 s
% 99.10/15.25 % (12619)Instructions burned: 8382 (million)
% 99.10/15.25 % (12619)------------------------------
% 99.10/15.25 % (12619)------------------------------
% 99.10/15.27 % (13004)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_11920 for (2861ds/1188Mi)
% 99.10/15.29 % (12871)Instruction limit reached!
% 99.10/15.29 % (12871)------------------------------
% 99.10/15.29 % (12871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 99.10/15.29 % (12871)Termination reason: Unknown
% 99.10/15.29 % (12871)Termination phase: Saturation
% 99.10/15.29
% 99.10/15.29 % (12871)Memory used [KB]: 7291
% 99.10/15.29 % (12871)Time elapsed: 0.304 s
% 99.10/15.29 % (12871)Instructions burned: 939 (million)
% 99.10/15.29 % (12871)------------------------------
% 99.10/15.29 % (12871)------------------------------
% 99.75/15.30 % (13005)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_11920 for (2861ds/3205Mi)
% 101.75/15.73 % (13004)Instruction limit reached!
% 101.75/15.73 % (13004)------------------------------
% 101.75/15.73 % (13004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 101.75/15.73 % (13004)Termination reason: Unknown
% 101.75/15.73 % (13004)Termination phase: Saturation
% 101.75/15.73
% 101.75/15.73 % (13004)Memory used [KB]: 8571
% 101.75/15.73 % (13004)Time elapsed: 0.466 s
% 101.75/15.73 % (13004)Instructions burned: 1189 (million)
% 101.75/15.73 % (13004)------------------------------
% 101.75/15.73 % (13004)------------------------------
% 101.75/15.75 % (13007)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_11920 for (2856ds/865Mi)
% 105.59/16.13 % (13007)Instruction limit reached!
% 105.59/16.13 % (13007)------------------------------
% 105.59/16.13 % (13007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.59/16.13 % (13007)Termination reason: Unknown
% 105.59/16.13 % (13007)Termination phase: Saturation
% 105.59/16.13
% 105.59/16.13 % (13007)Memory used [KB]: 6396
% 105.59/16.13 % (13007)Time elapsed: 0.383 s
% 105.59/16.13 % (13007)Instructions burned: 865 (million)
% 105.59/16.13 % (13007)------------------------------
% 105.59/16.13 % (13007)------------------------------
% 105.59/16.14 % (13008)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_11920 for (2852ds/7469Mi)
% 105.59/16.17 % (12816)Instruction limit reached!
% 105.59/16.17 % (12816)------------------------------
% 105.59/16.17 % (12816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.59/16.17 % (12816)Termination reason: Unknown
% 105.59/16.17 % (12816)Termination phase: Saturation
% 105.59/16.17
% 105.59/16.17 % (12816)Memory used [KB]: 8187
% 105.59/16.17 % (12816)Time elapsed: 1.324 s
% 105.59/16.17 % (12816)Instructions burned: 3632 (million)
% 105.59/16.17 % (12816)------------------------------
% 105.59/16.17 % (12816)------------------------------
% 105.59/16.19 % (13009)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_11920 for (2852ds/4165Mi)
% 108.53/16.72 % (12626)Instruction limit reached!
% 108.53/16.72 % (12626)------------------------------
% 108.53/16.72 % (12626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 108.53/16.72 % (12626)Termination reason: Unknown
% 108.53/16.72 % (12626)Termination phase: Saturation
% 108.53/16.72
% 108.53/16.72 % (12626)Memory used [KB]: 10234
% 108.53/16.72 % (12626)Time elapsed: 2.572 s
% 108.53/16.72 % (12626)Instructions burned: 7967 (million)
% 108.53/16.72 % (12626)------------------------------
% 108.53/16.72 % (12626)------------------------------
% 108.53/16.73 % (13010)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_11920 for (2846ds/13468Mi)
% 108.95/16.83 % (12622)Instruction limit reached!
% 108.95/16.83 % (12622)------------------------------
% 108.95/16.83 % (12622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 108.95/16.83 % (12622)Termination reason: Unknown
% 108.95/16.83 % (12622)Termination phase: Saturation
% 108.95/16.83
% 108.95/16.83 % (12622)Memory used [KB]: 18677
% 108.95/16.83 % (12622)Time elapsed: 3.581 s
% 108.95/16.83 % (12622)Instructions burned: 9822 (million)
% 108.95/16.83 % (12622)------------------------------
% 108.95/16.83 % (12622)------------------------------
% 108.95/16.85 % (13011)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_11920 for (2845ds/2635Mi)
% 108.95/16.89 % (13005)Instruction limit reached!
% 108.95/16.89 % (13005)------------------------------
% 108.95/16.89 % (13005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 108.95/16.89 % (13005)Termination reason: Unknown
% 108.95/16.89 % (13005)Termination phase: Saturation
% 108.95/16.89
% 108.95/16.89 % (13005)Memory used [KB]: 13432
% 108.95/16.89 % (13005)Time elapsed: 1.583 s
% 108.95/16.89 % (13005)Instructions burned: 3206 (million)
% 108.95/16.89 % (13005)------------------------------
% 108.95/16.89 % (13005)------------------------------
% 109.29/16.90 % (13012)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_11920 for (2845ds/631Mi)
% 112.59/17.14 % (13012)Instruction limit reached!
% 112.59/17.14 % (13012)------------------------------
% 112.59/17.14 % (13012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 112.59/17.14 % (13012)Termination reason: Unknown
% 112.59/17.14 % (13012)Termination phase: Saturation
% 112.59/17.14
% 112.59/17.14 % (13012)Memory used [KB]: 7675
% 112.59/17.14 % (13012)Time elapsed: 0.240 s
% 112.59/17.14 % (13012)Instructions burned: 633 (million)
% 112.59/17.14 % (13012)------------------------------
% 112.59/17.14 % (13012)------------------------------
% 112.59/17.16 % (13013)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_11920 for (2842ds/15557Mi)
% 113.64/17.34 % (12623)Instruction limit reached!
% 113.64/17.34 % (12623)------------------------------
% 113.64/17.34 % (12623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.64/17.34 % (12623)Termination reason: Unknown
% 113.64/17.34 % (12623)Termination phase: Saturation
% 113.64/17.34
% 113.64/17.34 % (12623)Memory used [KB]: 11897
% 113.64/17.34 % (12623)Time elapsed: 3.340 s
% 113.64/17.34 % (12623)Instructions burned: 8426 (million)
% 113.64/17.34 % (12623)------------------------------
% 113.64/17.34 % (12623)------------------------------
% 113.64/17.36 % (13014)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_11920 for (2840ds/2142Mi)
% 119.50/18.13 % (13011)Instruction limit reached!
% 119.50/18.13 % (13011)------------------------------
% 119.50/18.13 % (13011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 119.50/18.13 % (13011)Termination reason: Unknown
% 119.50/18.13 % (13011)Termination phase: Saturation
% 119.50/18.13
% 119.50/18.13 % (13011)Memory used [KB]: 9210
% 119.50/18.13 % (13011)Time elapsed: 1.285 s
% 119.50/18.13 % (13011)Instructions burned: 2635 (million)
% 119.50/18.13 % (13011)------------------------------
% 119.50/18.13 % (13011)------------------------------
% 119.50/18.15 % (13015)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_11920 for (2832ds/5624Mi)
% 120.60/18.32 % (13009)Instruction limit reached!
% 120.60/18.32 % (13009)------------------------------
% 120.60/18.32 % (13009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 120.60/18.32 % (13009)Termination reason: Unknown
% 120.60/18.32 % (13009)Termination phase: Saturation
% 120.60/18.32
% 120.60/18.32 % (13009)Memory used [KB]: 20212
% 120.60/18.32 % (13009)Time elapsed: 2.133 s
% 120.60/18.32 % (13009)Instructions burned: 4166 (million)
% 120.60/18.32 % (13009)------------------------------
% 120.60/18.32 % (13009)------------------------------
% 120.60/18.34 % (13016)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_11920 for (2830ds/1665Mi)
% 121.13/18.41 % (13014)Instruction limit reached!
% 121.13/18.41 % (13014)------------------------------
% 121.13/18.41 % (13014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 121.13/18.41 % (13014)Termination reason: Unknown
% 121.13/18.41 % (13014)Termination phase: Saturation
% 121.13/18.41
% 121.13/18.41 % (13014)Memory used [KB]: 8827
% 121.13/18.41 % (13014)Time elapsed: 1.051 s
% 121.13/18.41 % (13014)Instructions burned: 2142 (million)
% 121.13/18.41 % (13014)------------------------------
% 121.13/18.41 % (13014)------------------------------
% 121.13/18.42 % (13017)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_11920 for (2829ds/64912Mi)
% 123.17/19.01 % (13016)Instruction limit reached!
% 123.17/19.01 % (13016)------------------------------
% 123.17/19.01 % (13016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 123.17/19.01 % (13016)Termination reason: Unknown
% 123.17/19.01 % (13016)Termination phase: Saturation
% 123.17/19.01
% 123.17/19.01 % (13016)Memory used [KB]: 8443
% 123.17/19.01 % (13016)Time elapsed: 0.667 s
% 123.17/19.01 % (13016)Instructions burned: 1665 (million)
% 123.17/19.01 % (13016)------------------------------
% 123.17/19.01 % (13016)------------------------------
% 123.17/19.02 % (13018)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_11920 for (2824ds/7801Mi)
% 129.87/19.71 % (13008)Instruction limit reached!
% 129.87/19.71 % (13008)------------------------------
% 129.87/19.71 % (13008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 129.87/19.71 % (13008)Termination reason: Unknown
% 129.87/19.71 % (13008)Termination phase: Saturation
% 129.87/19.71
% 129.87/19.71 % (13008)Memory used [KB]: 14328
% 129.87/19.71 % (13008)Time elapsed: 3.560 s
% 129.87/19.71 % (13008)Instructions burned: 7470 (million)
% 129.87/19.71 % (13008)------------------------------
% 129.87/19.71 % (13008)------------------------------
% 129.87/19.73 % (13019)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_11920 for (2817ds/15194Mi)
% 138.11/20.89 % (13015)Instruction limit reached!
% 138.11/20.89 % (13015)------------------------------
% 138.11/20.89 % (13015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 138.11/20.89 % (13015)Termination reason: Unknown
% 138.11/20.89 % (13015)Termination phase: Saturation
% 138.11/20.89
% 138.11/20.89 % (13015)Memory used [KB]: 11641
% 138.11/20.89 % (13015)Time elapsed: 2.765 s
% 138.11/20.89 % (13015)Instructions burned: 5625 (million)
% 138.11/20.89 % (13015)------------------------------
% 138.11/20.89 % (13015)------------------------------
% 138.83/20.91 % (13020)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_11920 for (2805ds/6753Mi)
% 151.40/22.74 % (13018)Instruction limit reached!
% 151.40/22.74 % (13018)------------------------------
% 151.40/22.74 % (13018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 151.40/22.74 % (13018)Termination reason: Unknown
% 151.40/22.74 % (13018)Termination phase: Saturation
% 151.40/22.74
% 151.40/22.74 % (13018)Memory used [KB]: 17910
% 151.40/22.74 % (13018)Time elapsed: 3.720 s
% 151.40/22.74 % (13018)Instructions burned: 7801 (million)
% 151.40/22.74 % (13018)------------------------------
% 151.40/22.74 % (13018)------------------------------
% 151.40/22.76 % (13021)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_11920 for (2786ds/1003Mi)
% 152.63/23.04 % (13010)Instruction limit reached!
% 152.63/23.04 % (13010)------------------------------
% 152.63/23.04 % (13010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 152.63/23.04 % (13010)Termination reason: Unknown
% 152.63/23.04 % (13010)Termination phase: Saturation
% 152.63/23.04
% 152.63/23.04 % (13010)Memory used [KB]: 23027
% 152.63/23.04 % (13010)Time elapsed: 6.309 s
% 152.63/23.04 % (13010)Instructions burned: 13468 (million)
% 152.63/23.04 % (13010)------------------------------
% 152.63/23.04 % (13010)------------------------------
% 147.48/23.06 % (13022)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_11920 for (2783ds/13018Mi)
% 154.38/23.17 % (13021)Instruction limit reached!
% 154.38/23.17 % (13021)------------------------------
% 154.38/23.17 % (13021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 154.38/23.17 % (13021)Termination reason: Unknown
% 154.38/23.17 % (13021)Termination phase: Saturation
% 154.38/23.17
% 154.38/23.17 % (13021)Memory used [KB]: 6780
% 154.38/23.17 % (13021)Time elapsed: 0.409 s
% 154.38/23.17 % (13021)Instructions burned: 1003 (million)
% 154.38/23.17 % (13021)------------------------------
% 154.38/23.17 % (13021)------------------------------
% 154.38/23.18 % (13023)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_11920 for (2782ds/1267Mi)
% 154.69/23.22 % (13013)Instruction limit reached!
% 154.69/23.22 % (13013)------------------------------
% 154.69/23.22 % (13013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 154.69/23.22 % (13013)Termination reason: Unknown
% 154.69/23.22 % (13013)Termination phase: Saturation
% 154.69/23.22
% 154.69/23.22 % (13013)Memory used [KB]: 16502
% 154.69/23.22 % (13013)Time elapsed: 6.066 s
% 154.69/23.22 % (13013)Instructions burned: 15558 (million)
% 154.69/23.22 % (13013)------------------------------
% 154.69/23.22 % (13013)------------------------------
% 154.69/23.24 % (13024)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_11920 for (2781ds/2570Mi)
% 157.12/23.80 % (13023)Instruction limit reached!
% 157.12/23.80 % (13023)------------------------------
% 157.12/23.80 % (13023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 157.12/23.80 % (13023)Termination reason: Unknown
% 157.12/23.80 % (13023)Termination phase: Saturation
% 157.12/23.80
% 157.12/23.80 % (13023)Memory used [KB]: 10234
% 157.12/23.80 % (13023)Time elapsed: 0.641 s
% 157.12/23.80 % (13023)Instructions burned: 1268 (million)
% 157.12/23.80 % (13023)------------------------------
% 157.12/23.80 % (13023)------------------------------
% 157.12/23.83 % (13025)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on DTF2THF_11920 for (2776ds/13163Mi)
% 161.20/24.15 % (13020)Instruction limit reached!
% 161.20/24.15 % (13020)------------------------------
% 161.20/24.15 % (13020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 161.20/24.15 % (13020)Termination reason: Unknown
% 161.20/24.15 % (13020)Termination phase: Saturation
% 161.20/24.15
% 161.20/24.15 % (13020)Memory used [KB]: 15863
% 161.20/24.15 % (13020)Time elapsed: 3.251 s
% 161.20/24.15 % (13020)Instructions burned: 6754 (million)
% 161.20/24.15 % (13020)------------------------------
% 161.20/24.15 % (13020)------------------------------
% 161.20/24.17 % (13026)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on DTF2THF_11920 for (2772ds/5087Mi)
% 161.75/24.28 % (13024)Instruction limit reached!
% 161.75/24.28 % (13024)------------------------------
% 161.75/24.28 % (13024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 161.75/24.28 % (13024)Termination reason: Unknown
% 161.75/24.28 % (13024)Termination phase: Saturation
% 161.75/24.28
% 161.75/24.28 % (13024)Memory used [KB]: 9210
% 161.75/24.28 % (13024)Time elapsed: 1.044 s
% 161.75/24.28 % (13024)Instructions burned: 2572 (million)
% 161.75/24.28 % (13024)------------------------------
% 161.75/24.28 % (13024)------------------------------
% 161.75/24.30 % (13027)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_11920 for (2771ds/10380Mi)
% 179.20/26.74 % (13026)Instruction limit reached!
% 179.20/26.74 % (13026)------------------------------
% 179.20/26.74 % (13026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 179.20/26.74 % (13026)Termination reason: Unknown
% 179.20/26.74 % (13026)Termination phase: Saturation
% 179.20/26.74
% 179.20/26.74 % (13026)Memory used [KB]: 11769
% 179.20/26.74 % (13026)Time elapsed: 2.600 s
% 179.20/26.74 % (13026)Instructions burned: 5087 (million)
% 179.20/26.74 % (13026)------------------------------
% 179.20/26.74 % (13026)------------------------------
% 179.20/26.76 % (13028)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_11920 for (2746ds/4218Mi)
% 179.89/26.85 % (13019)Instruction limit reached!
% 179.89/26.85 % (13019)------------------------------
% 179.89/26.85 % (13019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 179.89/26.86 % (13019)Termination reason: Unknown
% 179.89/26.86 % (13019)Termination phase: Saturation
% 179.89/26.86
% 179.89/26.86 % (13019)Memory used [KB]: 17142
% 179.89/26.86 % (13019)Time elapsed: 7.149 s
% 179.89/26.86 % (13019)Instructions burned: 15194 (million)
% 179.89/26.86 % (13019)------------------------------
% 179.89/26.86 % (13019)------------------------------
% 179.89/26.87 % (13029)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_11920 for (2745ds/3971Mi)
% 189.68/28.26 % (13022)Instruction limit reached!
% 189.68/28.26 % (13022)------------------------------
% 189.68/28.26 % (13022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 189.68/28.26 % (13022)Termination reason: Unknown
% 189.68/28.26 % (13022)Termination phase: Saturation
% 189.68/28.26
% 189.68/28.26 % (13022)Memory used [KB]: 42856
% 189.68/28.26 % (13022)Time elapsed: 5.200 s
% 189.68/28.26 % (13022)Instructions burned: 13018 (million)
% 189.68/28.26 % (13022)------------------------------
% 189.68/28.26 % (13022)------------------------------
% 189.68/28.28 % (13030)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_11920 for (2731ds/14014Mi)
% 192.17/28.66 % (13029)Instruction limit reached!
% 192.17/28.66 % (13029)------------------------------
% 192.17/28.66 % (13029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 192.17/28.66 % (13029)Termination reason: Unknown
% 192.17/28.66 % (13029)Termination phase: Saturation
% 192.17/28.66
% 192.17/28.66 % (13029)Memory used [KB]: 10362
% 192.17/28.66 % (13029)Time elapsed: 1.806 s
% 192.17/28.66 % (13029)Instructions burned: 3971 (million)
% 192.17/28.66 % (13029)------------------------------
% 192.17/28.66 % (13029)------------------------------
% 192.17/28.67 % (13031)lrs+10_1:1_ins=1:sgt=8:ss=axioms:i=8517:si=on:rtra=on_0 on DTF2THF_11920 for (2727ds/8517Mi)
% 193.24/28.83 % (13028)Instruction limit reached!
% 193.24/28.83 % (13028)------------------------------
% 193.24/28.83 % (13028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 193.24/28.83 % (13028)Termination reason: Unknown
% 193.24/28.83 % (13028)Termination phase: Saturation
% 193.24/28.83
% 193.24/28.83 % (13028)Memory used [KB]: 11001
% 193.24/28.83 % (13028)Time elapsed: 2.093 s
% 193.24/28.83 % (13028)Instructions burned: 4218 (million)
% 193.24/28.83 % (13028)------------------------------
% 193.24/28.83 % (13028)------------------------------
% 193.24/28.85 % (13032)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=10148:si=on:rtra=on_0 on DTF2THF_11920 for (2725ds/10148Mi)
% 196.18/29.19 % (13027)Instruction limit reached!
% 196.18/29.19 % (13027)------------------------------
% 196.18/29.19 % (13027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 196.18/29.19 % (13027)Termination reason: Unknown
% 196.18/29.19 % (13027)Termination phase: Saturation
% 196.18/29.19
% 196.18/29.19 % (13027)Memory used [KB]: 14456
% 196.18/29.19 % (13027)Time elapsed: 4.913 s
% 196.18/29.19 % (13027)Instructions burned: 10381 (million)
% 196.18/29.19 % (13027)------------------------------
% 196.18/29.19 % (13027)------------------------------
% 196.68/29.21 % (13033)lrs+10_1:2_ntd=on:nwc=10.0:plsq=on:plsqc=1:plsqr=2,1:ss=axioms:i=9078:si=on:rtra=on_0 on DTF2THF_11920 for (2722ds/9078Mi)
% 202.38/30.11 % (13025)Instruction limit reached!
% 202.38/30.11 % (13025)------------------------------
% 202.38/30.11 % (13025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 202.38/30.11 % (13025)Termination reason: Unknown
% 202.38/30.11 % (13025)Termination phase: Saturation
% 202.38/30.11
% 202.38/30.11 % (13025)Memory used [KB]: 22131
% 202.38/30.11 % (13025)Time elapsed: 6.314 s
% 202.38/30.11 % (13025)Instructions burned: 13164 (million)
% 202.38/30.11 % (13025)------------------------------
% 202.38/30.11 % (13025)------------------------------
% 203.14/30.13 % (13034)lrs+2_1:1_bet=on:bsr=on:cnfonf=lazy_pi_sigma_gen:er=filter:kws=inv_frequency:ntd=on:sd=3:ss=axioms:i=16164:si=on:rtra=on_0 on DTF2THF_11920 for (2712ds/16164Mi)
% 214.85/31.90 % (12618)Instruction limit reached!
% 214.85/31.90 % (12618)------------------------------
% 214.85/31.90 % (12618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 214.85/31.90 % (12618)Termination reason: Unknown
% 214.85/31.90 % (12618)Termination phase: Saturation
% 214.85/31.90
% 214.85/31.90 % (12618)Memory used [KB]: 34796
% 214.85/31.90 % (12618)Time elapsed: 19.354 s
% 214.85/31.90 % (12618)Instructions burned: 43570 (million)
% 214.85/31.90 % (12618)------------------------------
% 214.85/31.90 % (12618)------------------------------
% 196.24/31.91 % (13035)lrs+32_1:1_au=on:bet=on:cbe=off:cs=on:ins=3:i=6102:si=on:rtra=on_0 on DTF2THF_11920 for (2695ds/6102Mi)
% 221.84/32.87 % (13031)Instruction limit reached!
% 221.84/32.87 % (13031)------------------------------
% 221.84/32.87 % (13031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 221.84/32.87 % (13031)Termination reason: Unknown
% 221.84/32.87 % (13031)Termination phase: Saturation
% 221.84/32.87
% 221.84/32.87 % (13031)Memory used [KB]: 14583
% 221.84/32.87 % (13031)Time elapsed: 4.201 s
% 221.84/32.87 % (13031)Instructions burned: 8517 (million)
% 221.84/32.87 % (13031)------------------------------
% 221.84/32.87 % (13031)------------------------------
% 221.84/32.89 % (13036)lrs+1010_1:1_au=on:bd=off:e2e=on:fde=unused:nm=4:s2a=on:sos=all:sp=const_frequency:i=10308:si=on:rtra=on_0 on DTF2THF_11920 for (2685ds/10308Mi)
% 225.32/33.36 % (13033)Instruction limit reached!
% 225.32/33.36 % (13033)------------------------------
% 225.32/33.36 % (13033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 225.32/33.36 % (13033)Termination reason: Unknown
% 225.32/33.36 % (13033)Termination phase: Saturation
% 225.32/33.36
% 225.32/33.36 % (13033)Memory used [KB]: 11129
% 225.32/33.36 % (13033)Time elapsed: 4.154 s
% 225.32/33.36 % (13033)Instructions burned: 9079 (million)
% 225.32/33.36 % (13033)------------------------------
% 225.32/33.36 % (13033)------------------------------
% 225.32/33.37 % (13037)dis+1010_1:1_au=on:avsq=on:bd=off:cbe=off:cnfonf=off:cs=on:hud=5:nm=0:plsq=on:plsqc=1:plsqr=7,1:ss=axioms:tgt=full:i=4041:si=on:rtra=on_0 on DTF2THF_11920 for (2680ds/4041Mi)
% 228.37/33.81 % (13032)Instruction limit reached!
% 228.37/33.81 % (13032)------------------------------
% 228.37/33.81 % (13032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 228.37/33.81 % (13032)Termination reason: Unknown
% 228.37/33.81 % (13032)Termination phase: Saturation
% 228.37/33.81
% 228.37/33.81 % (13032)Memory used [KB]: 19317
% 228.37/33.81 % (13032)Time elapsed: 4.960 s
% 228.37/33.81 % (13032)Instructions burned: 10148 (million)
% 228.37/33.81 % (13032)------------------------------
% 228.37/33.81 % (13032)------------------------------
% 228.37/33.83 % (13038)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=6901:si=on:rtra=on_0 on DTF2THF_11920 for (2675ds/6901Mi)
% 228.37/33.87 % (13037)Refutation not found, incomplete strategy
% 228.37/33.87 % (13037)------------------------------
% 228.37/33.87 % (13037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 228.37/33.87 % (13037)Termination reason: Refutation not found, incomplete strategy
% 228.37/33.87
% 228.37/33.87
% 228.37/33.87 % (13037)Memory used [KB]: 7931
% 228.37/33.87 % (13037)Time elapsed: 0.500 s
% 228.37/33.87 % (13037)Instructions burned: 1041 (million)
% 228.37/33.87 % (13037)------------------------------
% 228.37/33.87 % (13037)------------------------------
% 228.37/33.89 % (13039)lrs-1_1:1_au=on:cbe=off:ntd=on:i=5576:si=on:rtra=on_0 on DTF2THF_11920 for (2675ds/5576Mi)
% 235.70/34.84 % (13035)Instruction limit reached!
% 235.70/34.84 % (13035)------------------------------
% 235.70/34.84 % (13035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 235.70/34.84 % (13035)Termination reason: Unknown
% 235.70/34.84 % (13035)Termination phase: Saturation
% 235.70/34.84
% 235.70/34.84 % (13035)Memory used [KB]: 34541
% 235.70/34.84 % (13035)Time elapsed: 2.915 s
% 235.70/34.84 % (13035)Instructions burned: 6103 (million)
% 235.70/34.84 % (13035)------------------------------
% 235.70/34.84 % (13035)------------------------------
% 235.70/34.86 % (13040)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=2014:si=on:rtra=on_0 on DTF2THF_11920 for (2665ds/2014Mi)
% 236.35/35.00 % (13030)Instruction limit reached!
% 236.35/35.00 % (13030)------------------------------
% 236.35/35.00 % (13030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 236.35/35.00 % (13030)Termination reason: Unknown
% 236.35/35.00 % (13030)Termination phase: Saturation
% 236.35/35.00
% 236.35/35.00 % (13030)Memory used [KB]: 18933
% 236.35/35.00 % (13030)Time elapsed: 6.720 s
% 236.35/35.00 % (13030)Instructions burned: 14015 (million)
% 236.35/35.00 % (13030)------------------------------
% 236.35/35.00 % (13030)------------------------------
% 236.35/35.02 % (13041)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=5115:si=on:rtra=on_0 on DTF2THF_11920 for (2664ds/5115Mi)
% 241.91/35.82 % (13040)Refutation not found, non-redundant clauses discarded% (13040)------------------------------
% 241.91/35.82 % (13040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 241.91/35.82 % (13040)Termination reason: Refutation not found, non-redundant clauses discarded
% 241.91/35.82
% 241.91/35.82 % (13040)Memory used [KB]: 10746
% 241.91/35.82 % (13040)Time elapsed: 0.962 s
% 241.91/35.82 % (13040)Instructions burned: 1997 (million)
% 241.91/35.82 % (13040)------------------------------
% 241.91/35.82 % (13040)------------------------------
% 241.91/35.84 % (13042)lrs+2_1:1_au=on:cnfonf=lazy_pi_sigma_gen:sos=on:ss=axioms:i=13001:si=on:rtra=on_0 on DTF2THF_11920 for (2655ds/13001Mi)
% 244.27/36.04 % (13036)First to succeed.
% 244.27/36.05 % (13036)Refutation found. Thanks to Tanya!
% 244.27/36.05 % SZS status Theorem for DTF2THF_11920
% 244.27/36.05 % SZS output start Proof for DTF2THF_11920
% 244.27/36.05 thf(func_def_0, type, in: $i > $i > $o).
% 244.27/36.05 thf(func_def_1, type, exu: ($i > $o) > $o).
% 244.27/36.05 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 244.27/36.05 thf(func_def_8, type, powerset: $i > $i).
% 244.27/36.05 thf(func_def_10, type, setunion: $i > $i).
% 244.27/36.05 thf(func_def_19, type, descr: ($i > $o) > $i).
% 244.27/36.05 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_26, type, prop2set: $o > $i).
% 244.27/36.05 thf(func_def_36, type, nonempty: $i > $o).
% 244.27/36.05 thf(func_def_69, type, set2prop: $i > $o).
% 244.27/36.05 thf(func_def_88, type, subset: $i > $i > $o).
% 244.27/36.05 thf(func_def_89, type, disjoint: $i > $i > $o).
% 244.27/36.05 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 244.27/36.05 thf(func_def_114, type, binunion: $i > $i > $i).
% 244.27/36.05 thf(func_def_122, type, binintersect: $i > $i > $i).
% 244.27/36.05 thf(func_def_153, type, sP17: ($i > $i > $o) > $i > $o).
% 244.27/36.05 thf(func_def_154, type, sP18: $i > $i > $i > $o).
% 244.27/36.05 thf(func_def_155, type, sP19: $i > $i > $o).
% 244.27/36.05 thf(func_def_156, type, sP20: $i > $o).
% 244.27/36.05 thf(func_def_157, type, sP21: $i > $i > $o).
% 244.27/36.05 thf(func_def_158, type, sP22: $i > $i > $o).
% 244.27/36.05 thf(func_def_159, type, sP23: $i > $i > $o).
% 244.27/36.05 thf(func_def_165, type, sK29: $i > $i > $i).
% 244.27/36.05 thf(func_def_176, type, sK40: $i > $i).
% 244.27/36.05 thf(func_def_177, type, sK41: $i > $o).
% 244.27/36.05 thf(func_def_179, type, sK43: $i > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_183, type, sK47: $i > $i).
% 244.27/36.05 thf(func_def_191, type, sK55: $i > $o).
% 244.27/36.05 thf(func_def_193, type, sK57: $i > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_196, type, sK60: $i > $i).
% 244.27/36.05 thf(func_def_203, type, sK67: $i > $o).
% 244.27/36.05 thf(func_def_206, type, sK70: $i > $o).
% 244.27/36.05 thf(func_def_209, type, sK73: $i > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_214, type, sK78: $i > $i > $i).
% 244.27/36.05 thf(func_def_218, type, sK82: $o > $i > $i > $i).
% 244.27/36.05 thf(func_def_227, type, sK91: ($i > $o) > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_228, type, sK92: ($i > $o) > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_229, type, sK93: $i > $o).
% 244.27/36.05 thf(func_def_230, type, sK94: $i > $o).
% 244.27/36.05 thf(func_def_238, type, sK102: $i > $i).
% 244.27/36.05 thf(func_def_244, type, sK108: $i > $o).
% 244.27/36.05 thf(func_def_245, type, sK109: $i > $i > $i).
% 244.27/36.05 thf(func_def_249, type, sK113: $i > $o).
% 244.27/36.05 thf(func_def_252, type, sK116: $i > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_257, type, sK121: $i > $i).
% 244.27/36.05 thf(func_def_269, type, sK133: $i > $o).
% 244.27/36.05 thf(func_def_270, type, sK134: $i > $o).
% 244.27/36.05 thf(func_def_271, type, sK135: ($i > $o) > ($i > $o) > $i > $i > $i).
% 244.27/36.05 thf(func_def_272, type, sK136: ($i > $o) > ($i > $o) > $i > $i > $i).
% 244.27/36.05 thf(func_def_279, type, sK143: $i > $o).
% 244.27/36.05 thf(func_def_282, type, sK146: $i > $o).
% 244.27/36.05 thf(func_def_283, type, sK147: $i > $o).
% 244.27/36.05 thf(func_def_284, type, sK148: ($i > $o) > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_285, type, sK149: ($i > $o) > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_290, type, sK154: $i > $o).
% 244.27/36.05 thf(func_def_291, type, sK155: $i > $i).
% 244.27/36.05 thf(func_def_292, type, sK156: ($i > $o) > $i).
% 244.27/36.05 thf(func_def_297, type, sK161: $i > $o).
% 244.27/36.05 thf(func_def_300, type, sK164: $i > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_301, type, sK165: $i > $o).
% 244.27/36.05 thf(func_def_304, type, sK168: $i > $i > $i).
% 244.27/36.05 thf(func_def_319, type, sK183: $i > $i).
% 244.27/36.05 thf(func_def_320, type, sK184: $i > $i).
% 244.27/36.05 thf(func_def_323, type, sK187: $i > $o).
% 244.27/36.05 thf(func_def_330, type, sK194: $i > $o).
% 244.27/36.05 thf(func_def_332, type, sK196: ($i > $o) > $i > $i).
% 244.27/36.05 thf(func_def_340, type, sK204: $i > $o).
% 244.27/36.05 thf(func_def_341, type, sK205: $i > $i).
% 244.27/36.05 thf(func_def_342, type, sK206: ($i > $o) > $i).
% 244.27/36.05 thf(func_def_353, type, sK217: $i > ($i > $i > $o) > $i > $i).
% 244.27/36.05 thf(func_def_354, type, sK218: $i > ($i > $i > $o) > $i > $i).
% 244.27/36.05 thf(func_def_355, type, sK219: ($i > $i > $o) > $i > $i).
% 244.27/36.05 thf(func_def_356, type, sK220: $i > ($i > $i > $o) > $i > $i).
% 244.27/36.05 thf(func_def_358, type, sK222: $i > $i > $o).
% 244.27/36.05 thf(func_def_359, type, sK223: ($i > $i > $o) > $i > $i).
% 244.27/36.05 thf(func_def_362, type, sK226: $i > $i > $i).
% 244.27/36.05 thf(func_def_363, type, sK227: $i > $i > $i).
% 244.27/36.05 thf(func_def_364, type, sK228: $i > $i > $i).
% 244.27/36.05 thf(func_def_365, type, sK229: $i > $i > $i).
% 244.27/36.05 thf(func_def_366, type, sK230: $i > $i > $i).
% 244.27/36.05 thf(func_def_367, type, sK231: $i > $i > $i).
% 244.27/36.05 thf(func_def_368, type, sK232: $i > $i > $i).
% 244.27/36.05 thf(func_def_369, type, sK233: $i > $i > $i > $i).
% 244.27/36.05 thf(func_def_370, type, sK234: $i > $i).
% 244.27/36.05 thf(func_def_371, type, sK235: $i > $i).
% 244.27/36.05 thf(func_def_372, type, sK236: $i > $i).
% 244.27/36.05 thf(func_def_373, type, sK237: $i > $i).
% 244.27/36.05 thf(func_def_374, type, sK238: $i > $i > $i).
% 244.27/36.05 thf(func_def_375, type, sK239: $i > $i > $i).
% 244.27/36.05 thf(func_def_376, type, sK240: $i > $i > $i).
% 244.27/36.05 thf(func_def_377, type, sK241: $i > $i > $i > $i).
% 244.27/36.05 thf(func_def_378, type, sK242: $i > $i > $i > $i).
% 244.27/36.05 thf(func_def_380, type, sK244: $i > $i).
% 244.27/36.05 thf(func_def_382, type, sK246: $i > $o).
% 244.27/36.05 thf(func_def_385, type, sK249: $i > $o).
% 244.27/36.05 thf(func_def_387, type, sK251: ($i > $o) > $i > $i).
% 244.27/36.05 thf(func_def_400, type, sK264: $i > $i > $i).
% 244.27/36.05 thf(func_def_403, type, sK267: $i > $i > $i).
% 244.27/36.05 thf(func_def_404, type, sK268: $i > $o).
% 244.27/36.05 thf(func_def_406, type, sK270: ($i > $o) > $i).
% 244.27/36.05 thf(func_def_407, type, sK271: ($i > $o) > $i).
% 244.27/36.05 thf(func_def_410, type, sK274: $i > $i > $i).
% 244.27/36.05 thf(func_def_411, type, sK275: $i > $i > $i).
% 244.27/36.05 thf(func_def_413, type, sK277: $i > $o).
% 244.27/36.05 thf(func_def_415, type, sK279: ($i > $o) > $i).
% 244.27/36.05 thf(func_def_416, type, sK280: $i > $o).
% 244.27/36.05 thf(func_def_418, type, sK282: $i > $o).
% 244.27/36.05 thf(func_def_426, type, sK290: $i > $o).
% 244.27/36.05 thf(func_def_428, type, sK292: $i > $o).
% 244.27/36.05 thf(func_def_432, type, sK296: $i > $o).
% 244.27/36.05 thf(func_def_450, type, sK314: $i > $o).
% 244.27/36.05 thf(func_def_451, type, sK315: $i > $o).
% 244.27/36.05 thf(func_def_454, type, sK318: $i > ($i > $o) > $i).
% 244.27/36.05 thf(func_def_456, type, ph320: !>[X0: $tType]:(X0)).
% 244.27/36.05 thf(f23028,plain,(
% 244.27/36.05 $false),
% 244.27/36.05 inference(subsumption_resolution,[status(thm)],[f23027,f16746])).
% 244.27/36.05 thf(f16746,plain,(
% 244.27/36.05 ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK150) = $true)),
% 244.27/36.05 inference(trivial_inequality_removal,[status(thm)],[f16686])).
% 244.27/36.05 thf(f16686,plain,(
% 244.27/36.05 ($true != $true) | ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK150) = $true)),
% 244.27/36.05 inference(superposition,[status(thm)],[f2174,f2242])).
% 244.27/36.05 thf(f2242,plain,(
% 244.27/36.05 ($true = (in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK152))),
% 244.27/36.05 inference(subsumption_resolution,[status(thm)],[f2232,f1279])).
% 244.27/36.05 thf(f1279,plain,(
% 244.27/36.05 (subsetI2 = $true)),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f746])).
% 244.27/36.05 thf(f746,plain,(
% 244.27/36.05 (subsetRefl = $true) & (exuE3e = $true) & (quantDeMorgan3 = $true) & (vacuousDall = $true) & (dsetconstr__Cong = $true) & (powersetE1 = $true) & (sepSubset = $true) & (subsetE2 = $true) & (replAx = $true) & (exuI2 = $true) & (setunionAx = $true) & (exuI1 = $true) & (emptyE1 = $true) & (quantDeMorgan2 = $true) & (binunionIL = $true) & (descr__Cong = $true) & (emptyI = $true) & (exuE1 = $true) & (exu__Cong = $true) & (prop2setE = $true) & (exuI3 = $true) & (exuEu = $true) & (eqimpsubset2 = $true) & (uniqinunit = $true) & (setextAx = $true) & (emptysetsubset = $true) & (binunionE = $true) & (eqinunit = $true) & (subsetemptysetimpeq = $true) & (nonemptyImpWitness = $true) & (setunion__Cong = $true) & (setadjoinSub = $true) & (omega__Cong = $true) & (emptyinPowerset = $true) & (binunionIR = $true) & (setextsub = $true) & (nonemptyI = $true) & (notdallE = $true) & (notinemptyset = $true) & (emptysetAx = $true) & (exuE3u = $true) & (singletonsswitch = $true) & (setadjoinSub2 = $true) & (upairset2IR = $true) & (dsetconstrEL = $true) & (setadjoinE = $true) & (setadjoinOr = $true) & (omegaSAx = $true) & (powersetE = $true) & (setbeta = $true) & (emptyinunitempty = $true) & (notsubsetI = $true) & (noeltsimpempty = $true) & (setunionI = $true) & (subPowSU = $true) & (emptyset__Cong = $true) & (quantDeMorgan4 = $true) & (powersetI = $true) & (omega0Ax = $true) & (subsetTrans = $true) & (subset2powerset = $true) & (powersetI1 = $true) & (binunionLsub = $true) & (setadjoin__Cong = $true) & (eqimpsubset1 = $true) & (setadjoinAx = $true) & (wellorderingAx = $true) & (powersetAx = $true) & (((subset @ sK152 @ sK150) = $true) & ((subset @ sK152 @ (binintersect @ sK151 @ sK150)) != $true) & ($true = (subset @ sK152 @ sK151))) & (nonemptyE1 = $true) & (setadjoinIL = $true) & (upairsetE = $true) & (in__Cong = $true) & (upairsetIR = $true) & (setoftrueEq = $true) & (exuE2 = $true) & (subsetI2 = $true) & (upairsetIL = $true) & (omegaIndAx = $true) & (subsetI1 = $true) & (prop2set2propI = $true) & (powerset__Cong = $true) & (dsetconstrER = $true) & (binunionRsub = $true) & (notdexE = $true) & (sepInPowerset = $true) & (notequalI2 = $true) & (setadjoinIR = $true) & (notequalI1 = $true) & (emptysetE = $true) & (setunionE = $true) & (notinsingleton = $true) & (powersetsubset = $true) & (emptyInPowerset = $true) & (binintersectI = $true) & (inPowerset = $true) & (foundationAx = $true) & (dsetconstrI = $true) & (descrp = $true) & (nonemptyI1 = $true) & (prop2setI = $true) & (binunionEcases = $true) & (setext = $true) & (quantDeMorgan1 = $true) & (inCongP = $true) & (subsetE = $true) & (emptysetimpfalse = $true)),
% 244.27/36.05 inference(skolemisation,[status(esa),new_symbols(skolem,[sK150,sK151,sK152])],[f462,f745])).
% 244.27/36.05 thf(f745,plain,(
% 244.27/36.05 ? [X0 : $i,X1 : $i,X2 : $i] : (($true = (subset @ X2 @ X0)) & ($true != (subset @ X2 @ (binintersect @ X1 @ X0))) & ($true = (subset @ X2 @ X1))) => (((subset @ sK152 @ sK150) = $true) & ((subset @ sK152 @ (binintersect @ sK151 @ sK150)) != $true) & ($true = (subset @ sK152 @ sK151)))),
% 244.27/36.05 introduced(definition,[],[choice_axiom])).
% 244.27/36.05 thf(f462,plain,(
% 244.27/36.05 (subsetRefl = $true) & (exuE3e = $true) & (quantDeMorgan3 = $true) & (vacuousDall = $true) & (dsetconstr__Cong = $true) & (powersetE1 = $true) & (sepSubset = $true) & (subsetE2 = $true) & (replAx = $true) & (exuI2 = $true) & (setunionAx = $true) & (exuI1 = $true) & (emptyE1 = $true) & (quantDeMorgan2 = $true) & (binunionIL = $true) & (descr__Cong = $true) & (emptyI = $true) & (exuE1 = $true) & (exu__Cong = $true) & (prop2setE = $true) & (exuI3 = $true) & (exuEu = $true) & (eqimpsubset2 = $true) & (uniqinunit = $true) & (setextAx = $true) & (emptysetsubset = $true) & (binunionE = $true) & (eqinunit = $true) & (subsetemptysetimpeq = $true) & (nonemptyImpWitness = $true) & (setunion__Cong = $true) & (setadjoinSub = $true) & (omega__Cong = $true) & (emptyinPowerset = $true) & (binunionIR = $true) & (setextsub = $true) & (nonemptyI = $true) & (notdallE = $true) & (notinemptyset = $true) & (emptysetAx = $true) & (exuE3u = $true) & (singletonsswitch = $true) & (setadjoinSub2 = $true) & (upairset2IR = $true) & (dsetconstrEL = $true) & (setadjoinE = $true) & (setadjoinOr = $true) & (omegaSAx = $true) & (powersetE = $true) & (setbeta = $true) & (emptyinunitempty = $true) & (notsubsetI = $true) & (noeltsimpempty = $true) & (setunionI = $true) & (subPowSU = $true) & (emptyset__Cong = $true) & (quantDeMorgan4 = $true) & (powersetI = $true) & (omega0Ax = $true) & (subsetTrans = $true) & (subset2powerset = $true) & (powersetI1 = $true) & (binunionLsub = $true) & (setadjoin__Cong = $true) & (eqimpsubset1 = $true) & (setadjoinAx = $true) & (wellorderingAx = $true) & (powersetAx = $true) & ? [X0 : $i,X1 : $i,X2 : $i] : (($true = (subset @ X2 @ X0)) & ($true != (subset @ X2 @ (binintersect @ X1 @ X0))) & ($true = (subset @ X2 @ X1))) & (nonemptyE1 = $true) & (setadjoinIL = $true) & (upairsetE = $true) & (in__Cong = $true) & (upairsetIR = $true) & (setoftrueEq = $true) & (exuE2 = $true) & (subsetI2 = $true) & (upairsetIL = $true) & (omegaIndAx = $true) & (subsetI1 = $true) & (prop2set2propI = $true) & (powerset__Cong = $true) & (dsetconstrER = $true) & (binunionRsub = $true) & (notdexE = $true) & (sepInPowerset = $true) & (notequalI2 = $true) & (setadjoinIR = $true) & (notequalI1 = $true) & (emptysetE = $true) & (setunionE = $true) & (notinsingleton = $true) & (powersetsubset = $true) & (emptyInPowerset = $true) & (binintersectI = $true) & (inPowerset = $true) & (foundationAx = $true) & (dsetconstrI = $true) & (descrp = $true) & (nonemptyI1 = $true) & (prop2setI = $true) & (binunionEcases = $true) & (setext = $true) & (quantDeMorgan1 = $true) & (inCongP = $true) & (subsetE = $true) & (emptysetimpfalse = $true)),
% 244.27/36.05 inference(flattening,[status(thm)],[f461])).
% 244.27/36.05 thf(f461,plain,(
% 244.27/36.05 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i,X2 : $i] : ((($true != (subset @ X2 @ (binintersect @ X1 @ X0))) & ($true = (subset @ X2 @ X0))) & ($true = (subset @ X2 @ X1))) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 244.27/36.05 inference(ennf_transformation,[status(thm)],[f204])).
% 244.27/36.05 thf(f204,plain,(
% 244.27/36.05 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (subset @ X2 @ X1)) => (($true = (subset @ X2 @ X0)) => ($true = (subset @ X2 @ (binintersect @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 244.27/36.05 inference(fool_elimination,[status(thm)],[f203])).
% 244.27/36.05 thf(f203,plain,(
% 244.27/36.05 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => ! [X0 : $i,X1 : $i,X2 : $i] : ((subset @ X2 @ X1) => ((subset @ X2 @ X0) => (subset @ X2 @ (binintersect @ X1 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 244.27/36.05 inference(rectify,[status(thm)],[f111])).
% 244.27/36.05 thf(f111,negated_conjecture,(
% 244.27/36.05 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => ! [X4 : $i,X3 : $i,X5 : $i] : ((subset @ X5 @ X3) => ((subset @ X5 @ X4) => (subset @ X5 @ (binintersect @ X3 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 244.27/36.05 inference(negated_conjecture,[status(cth)],[f110])).
% 244.27/36.05 thf(f110,conjecture,(
% 244.27/36.05 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => ! [X4 : $i,X3 : $i,X5 : $i] : ((subset @ X5 @ X3) => ((subset @ X5 @ X4) => (subset @ X5 @ (binintersect @ X3 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 244.27/36.05 file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',binintersectSubset5)).
% 244.27/36.05 thf(f2232,plain,(
% 244.27/36.05 (subsetI2 != $true) | ($true = (in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK152))),
% 244.27/36.05 inference(trivial_inequality_removal,[status(thm)],[f2205])).
% 244.27/36.05 thf(f2205,plain,(
% 244.27/36.05 ($true = (in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK152)) | (subsetI2 != $true) | ($true != $true)),
% 244.27/36.05 inference(superposition,[status(thm)],[f1288,f1180])).
% 244.27/36.05 thf(f1180,plain,(
% 244.27/36.05 ( ! [X0 : $i,X1 : $i] : (($true = (in @ (sK109 @ X1 @ X0) @ X1)) | (subsetI2 != $true) | ((subset @ X1 @ X0) = $true)) )),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f673])).
% 244.27/36.05 thf(f673,plain,(
% 244.27/36.05 (! [X0 : $i,X1 : $i] : ((($true = (in @ (sK109 @ X1 @ X0) @ X1)) & ((in @ (sK109 @ X1 @ X0) @ X0) != $true)) | ((subset @ X1 @ X0) = $true)) | (subsetI2 != $true)) & ((subsetI2 = $true) | (! [X5 : $i] : (($true != (in @ X5 @ sK111)) | ($true = (in @ X5 @ sK110))) & ((subset @ sK111 @ sK110) != $true)))),
% 244.27/36.05 inference(skolemisation,[status(esa),new_symbols(skolem,[sK109,sK110,sK111])],[f670,f672,f671])).
% 244.27/36.05 thf(f671,plain,(
% 244.27/36.05 ! [X0 : $i,X1 : $i] : (? [X2 : $i] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) => (($true = (in @ (sK109 @ X1 @ X0) @ X1)) & ((in @ (sK109 @ X1 @ X0) @ X0) != $true)))),
% 244.27/36.05 introduced(definition,[],[choice_axiom])).
% 244.27/36.05 thf(f672,plain,(
% 244.27/36.05 ? [X3 : $i,X4 : $i] : (! [X5 : $i] : (((in @ X5 @ X4) != $true) | ((in @ X5 @ X3) = $true)) & ((subset @ X4 @ X3) != $true)) => (! [X5 : $i] : (($true != (in @ X5 @ sK111)) | ($true = (in @ X5 @ sK110))) & ((subset @ sK111 @ sK110) != $true))),
% 244.27/36.05 introduced(definition,[],[choice_axiom])).
% 244.27/36.05 thf(f670,plain,(
% 244.27/36.05 (! [X0 : $i,X1 : $i] : (? [X2 : $i] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) | ((subset @ X1 @ X0) = $true)) | (subsetI2 != $true)) & ((subsetI2 = $true) | ? [X3 : $i,X4 : $i] : (! [X5 : $i] : (((in @ X5 @ X4) != $true) | ((in @ X5 @ X3) = $true)) & ((subset @ X4 @ X3) != $true)))),
% 244.27/36.05 inference(rectify,[status(thm)],[f669])).
% 244.27/36.05 thf(f669,plain,(
% 244.27/36.05 (! [X0 : $i,X1 : $i] : (? [X2 : $i] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) | ((subset @ X1 @ X0) = $true)) | (subsetI2 != $true)) & ((subsetI2 = $true) | ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (((in @ X2 @ X1) != $true) | ($true = (in @ X2 @ X0))) & ((subset @ X1 @ X0) != $true)))),
% 244.27/36.05 inference(nnf_transformation,[status(thm)],[f418])).
% 244.27/36.05 thf(f418,plain,(
% 244.27/36.05 ! [X0 : $i,X1 : $i] : (? [X2 : $i] : (((in @ X2 @ X1) = $true) & ($true != (in @ X2 @ X0))) | ((subset @ X1 @ X0) = $true)) <=> (subsetI2 = $true)),
% 244.27/36.05 inference(ennf_transformation,[status(thm)],[f154])).
% 244.27/36.05 thf(f154,plain,(
% 244.27/36.05 (subsetI2 = $true) <=> ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((in @ X2 @ X1) = $true) => ($true = (in @ X2 @ X0))) => ((subset @ X1 @ X0) = $true))),
% 244.27/36.05 inference(fool_elimination,[status(thm)],[f153])).
% 244.27/36.05 thf(f153,plain,(
% 244.27/36.05 (subsetI2 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (subset @ X1 @ X0)))),
% 244.27/36.05 inference(rectify,[status(thm)],[f81])).
% 244.27/36.05 thf(f81,axiom,(
% 244.27/36.05 (subsetI2 = ! [X4 : $i,X3 : $i] : (! [X1 : $i] : ((in @ X1 @ X3) => (in @ X1 @ X4)) => (subset @ X3 @ X4)))),
% 244.27/36.05 file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',subsetI2)).
% 244.27/36.05 thf(f1288,plain,(
% 244.27/36.05 ((subset @ sK152 @ (binintersect @ sK151 @ sK150)) != $true)),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f746])).
% 244.27/36.05 thf(f2174,plain,(
% 244.27/36.05 ( ! [X0 : $i] : (($true != (in @ X0 @ sK152)) | ((in @ X0 @ sK150) = $true)) )),
% 244.27/36.05 inference(subsumption_resolution,[status(thm)],[f2161,f1306])).
% 244.27/36.05 thf(f1306,plain,(
% 244.27/36.05 (notsubsetI = $true)),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f746])).
% 244.27/36.05 thf(f2161,plain,(
% 244.27/36.05 ( ! [X0 : $i] : (((in @ X0 @ sK150) = $true) | (notsubsetI != $true) | ($true != (in @ X0 @ sK152))) )),
% 244.27/36.05 inference(trivial_inequality_removal,[status(thm)],[f2114])).
% 244.27/36.05 thf(f2114,plain,(
% 244.27/36.05 ( ! [X0 : $i] : (((in @ X0 @ sK150) = $true) | ($true != (in @ X0 @ sK152)) | ($true != $true) | (notsubsetI != $true)) )),
% 244.27/36.05 inference(superposition,[status(thm)],[f1587,f1289])).
% 244.27/36.05 thf(f1289,plain,(
% 244.27/36.05 ((subset @ sK152 @ sK150) = $true)),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f746])).
% 244.27/36.05 thf(f1587,plain,(
% 244.27/36.05 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((subset @ X0 @ X2) != $true) | (notsubsetI != $true) | ($true != (in @ X1 @ X0)) | ((in @ X1 @ X2) = $true)) )),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f992])).
% 244.27/36.05 thf(f992,plain,(
% 244.27/36.05 (! [X0 : $i,X1 : $i,X2 : $i] : (((subset @ X0 @ X2) != $true) | ($true != (in @ X1 @ X0)) | ((in @ X1 @ X2) = $true)) | (notsubsetI != $true)) & ((notsubsetI = $true) | (($true = (subset @ sK284 @ sK286)) & ((in @ sK285 @ sK284) = $true) & ((in @ sK285 @ sK286) != $true)))),
% 244.27/36.05 inference(skolemisation,[status(esa),new_symbols(skolem,[sK284,sK285,sK286])],[f990,f991])).
% 244.27/36.05 thf(f991,plain,(
% 244.27/36.05 ? [X3 : $i,X4 : $i,X5 : $i] : (((subset @ X3 @ X5) = $true) & ((in @ X4 @ X3) = $true) & ((in @ X4 @ X5) != $true)) => (($true = (subset @ sK284 @ sK286)) & ((in @ sK285 @ sK284) = $true) & ((in @ sK285 @ sK286) != $true))),
% 244.27/36.05 introduced(definition,[],[choice_axiom])).
% 244.27/36.05 thf(f990,plain,(
% 244.27/36.05 (! [X0 : $i,X1 : $i,X2 : $i] : (((subset @ X0 @ X2) != $true) | ($true != (in @ X1 @ X0)) | ((in @ X1 @ X2) = $true)) | (notsubsetI != $true)) & ((notsubsetI = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : (((subset @ X3 @ X5) = $true) & ((in @ X4 @ X3) = $true) & ((in @ X4 @ X5) != $true)))),
% 244.27/36.05 inference(rectify,[status(thm)],[f989])).
% 244.27/36.05 thf(f989,plain,(
% 244.27/36.05 (! [X0 : $i,X1 : $i,X2 : $i] : (((subset @ X0 @ X2) != $true) | ($true != (in @ X1 @ X0)) | ((in @ X1 @ X2) = $true)) | (notsubsetI != $true)) & ((notsubsetI = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((subset @ X0 @ X2) = $true) & ($true = (in @ X1 @ X0)) & ((in @ X1 @ X2) != $true)))),
% 244.27/36.05 inference(nnf_transformation,[status(thm)],[f437])).
% 244.27/36.05 thf(f437,plain,(
% 244.27/36.05 ! [X0 : $i,X1 : $i,X2 : $i] : (((subset @ X0 @ X2) != $true) | ($true != (in @ X1 @ X0)) | ((in @ X1 @ X2) = $true)) <=> (notsubsetI = $true)),
% 244.27/36.05 inference(flattening,[status(thm)],[f436])).
% 244.27/36.05 thf(f436,plain,(
% 244.27/36.05 (notsubsetI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : ((((subset @ X0 @ X2) != $true) | ((in @ X1 @ X2) = $true)) | ($true != (in @ X1 @ X0)))),
% 244.27/36.05 inference(ennf_transformation,[status(thm)],[f349])).
% 244.27/36.05 thf(f349,plain,(
% 244.27/36.05 (notsubsetI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X1 @ X0)) => (((in @ X1 @ X2) != $true) => ((subset @ X0 @ X2) != $true)))),
% 244.27/36.05 inference(flattening,[status(thm)],[f304])).
% 244.27/36.05 thf(f304,plain,(
% 244.27/36.05 ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X1 @ X0)) => (~((in @ X1 @ X2) = $true) => ~((subset @ X0 @ X2) = $true))) <=> (notsubsetI = $true)),
% 244.27/36.05 inference(fool_elimination,[status(thm)],[f303])).
% 244.27/36.05 thf(f303,plain,(
% 244.27/36.05 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ X0) => (~(in @ X1 @ X2) => ~(subset @ X0 @ X2))) = notsubsetI)),
% 244.27/36.05 inference(rectify,[status(thm)],[f85])).
% 244.27/36.05 thf(f85,axiom,(
% 244.27/36.05 (! [X3 : $i,X1 : $i,X4 : $i] : ((in @ X1 @ X3) => (~(in @ X1 @ X4) => ~(subset @ X3 @ X4))) = notsubsetI)),
% 244.27/36.05 file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',notsubsetI)).
% 244.27/36.05 thf(f23027,plain,(
% 244.27/36.05 ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK150) != $true)),
% 244.27/36.05 inference(subsumption_resolution,[status(thm)],[f22989,f16769])).
% 244.27/36.05 thf(f16769,plain,(
% 244.27/36.05 ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK151) = $true)),
% 244.27/36.05 inference(trivial_inequality_removal,[status(thm)],[f16687])).
% 244.27/36.05 thf(f16687,plain,(
% 244.27/36.05 ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK151) = $true) | ($true != $true)),
% 244.27/36.05 inference(superposition,[status(thm)],[f2011,f2242])).
% 244.27/36.05 thf(f2011,plain,(
% 244.27/36.05 ( ! [X0 : $i] : (($true != (in @ X0 @ sK152)) | ($true = (in @ X0 @ sK151))) )),
% 244.27/36.05 inference(subsumption_resolution,[status(thm)],[f2010,f1350])).
% 244.27/36.05 thf(f1350,plain,(
% 244.27/36.05 (subsetE2 = $true)),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f746])).
% 244.27/36.05 thf(f2010,plain,(
% 244.27/36.05 ( ! [X0 : $i] : (($true = (in @ X0 @ sK151)) | ($true != (in @ X0 @ sK152)) | (subsetE2 != $true)) )),
% 244.27/36.05 inference(trivial_inequality_removal,[status(thm)],[f1957])).
% 244.27/36.05 thf(f1957,plain,(
% 244.27/36.05 ( ! [X0 : $i] : ((subsetE2 != $true) | ($true != (in @ X0 @ sK152)) | ($true != $true) | ($true = (in @ X0 @ sK151))) )),
% 244.27/36.05 inference(superposition,[status(thm)],[f1617,f1287])).
% 244.27/36.05 thf(f1287,plain,(
% 244.27/36.05 ($true = (subset @ sK152 @ sK151))),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f746])).
% 244.27/36.05 thf(f1617,plain,(
% 244.27/36.05 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((subset @ X5 @ X4) != $true) | ((in @ X3 @ X4) = $true) | ((in @ X3 @ X5) != $true) | (subsetE2 != $true)) )),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f1038])).
% 244.27/36.05 thf(f1038,plain,(
% 244.27/36.05 ((subsetE2 = $true) | (((in @ sK311 @ sK312) != $true) & ($true = (subset @ sK313 @ sK312)) & ((in @ sK311 @ sK313) = $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X3 @ X4) = $true) | ((subset @ X5 @ X4) != $true) | ((in @ X3 @ X5) != $true)) | (subsetE2 != $true))),
% 244.27/36.05 inference(skolemisation,[status(esa),new_symbols(skolem,[sK311,sK312,sK313])],[f1036,f1037])).
% 244.27/36.05 thf(f1037,plain,(
% 244.27/36.05 ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X1) != $true) & ($true = (subset @ X2 @ X1)) & ((in @ X0 @ X2) = $true)) => (((in @ sK311 @ sK312) != $true) & ($true = (subset @ sK313 @ sK312)) & ((in @ sK311 @ sK313) = $true))),
% 244.27/36.05 introduced(definition,[],[choice_axiom])).
% 244.27/36.05 thf(f1036,plain,(
% 244.27/36.05 ((subsetE2 = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X1) != $true) & ($true = (subset @ X2 @ X1)) & ((in @ X0 @ X2) = $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X3 @ X4) = $true) | ((subset @ X5 @ X4) != $true) | ((in @ X3 @ X5) != $true)) | (subsetE2 != $true))),
% 244.27/36.05 inference(rectify,[status(thm)],[f1035])).
% 244.27/36.05 thf(f1035,plain,(
% 244.27/36.05 ((subsetE2 = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X1) != $true) & ($true = (subset @ X2 @ X1)) & ((in @ X0 @ X2) = $true))) & (! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X1) = $true) | ($true != (subset @ X2 @ X1)) | ((in @ X0 @ X2) != $true)) | (subsetE2 != $true))),
% 244.27/36.05 inference(nnf_transformation,[status(thm)],[f421])).
% 244.27/36.05 thf(f421,plain,(
% 244.27/36.05 (subsetE2 = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X1) = $true) | ($true != (subset @ X2 @ X1)) | ((in @ X0 @ X2) != $true))),
% 244.27/36.05 inference(flattening,[status(thm)],[f420])).
% 244.27/36.05 thf(f420,plain,(
% 244.27/36.05 ! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X0 @ X2) != $true) | ((in @ X0 @ X1) = $true)) | ($true != (subset @ X2 @ X1))) <=> (subsetE2 = $true)),
% 244.27/36.05 inference(ennf_transformation,[status(thm)],[f327])).
% 244.27/36.05 thf(f327,plain,(
% 244.27/36.05 ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (subset @ X2 @ X1)) => (((in @ X0 @ X1) != $true) => ((in @ X0 @ X2) != $true))) <=> (subsetE2 = $true)),
% 244.27/36.05 inference(flattening,[status(thm)],[f114])).
% 244.27/36.05 thf(f114,plain,(
% 244.27/36.05 (subsetE2 = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (subset @ X2 @ X1)) => (~((in @ X0 @ X1) = $true) => ~((in @ X0 @ X2) = $true)))),
% 244.27/36.05 inference(fool_elimination,[status(thm)],[f113])).
% 244.27/36.05 thf(f113,plain,(
% 244.27/36.05 (subsetE2 = ! [X0 : $i,X1 : $i,X2 : $i] : ((subset @ X2 @ X1) => (~(in @ X0 @ X1) => ~(in @ X0 @ X2))))),
% 244.27/36.05 inference(rectify,[status(thm)],[f84])).
% 244.27/36.05 thf(f84,axiom,(
% 244.27/36.05 (subsetE2 = ! [X1 : $i,X4 : $i,X3 : $i] : ((subset @ X3 @ X4) => (~(in @ X1 @ X4) => ~(in @ X1 @ X3))))),
% 244.27/36.05 file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',subsetE2)).
% 244.27/36.05 thf(f22989,plain,(
% 244.27/36.05 ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK151) != $true) | ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK150) != $true)),
% 244.27/36.05 inference(subsumption_resolution,[status(thm)],[f22966,f1261])).
% 244.27/36.05 thf(f1261,plain,(
% 244.27/36.05 (binintersectI = $true)),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f746])).
% 244.27/36.05 thf(f22966,plain,(
% 244.27/36.05 ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK150) != $true) | ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK151) != $true) | (binintersectI != $true)),
% 244.27/36.05 inference(trivial_inequality_removal,[status(thm)],[f22950])).
% 244.27/36.05 thf(f22950,plain,(
% 244.27/36.05 ($true != $true) | ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK150) != $true) | ((in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ sK151) != $true) | (binintersectI != $true)),
% 244.27/36.05 inference(superposition,[status(thm)],[f2248,f1054])).
% 244.27/36.05 thf(f1054,plain,(
% 244.27/36.05 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((binintersectI != $true) | ($true = (in @ X3 @ (binintersect @ X5 @ X4))) | ((in @ X3 @ X5) != $true) | ((in @ X3 @ X4) != $true)) )),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f524])).
% 244.27/36.05 thf(f524,plain,(
% 244.27/36.05 ((binintersectI = $true) | (((in @ sK32 @ sK34) = $true) & ($true != (in @ sK32 @ (binintersect @ sK34 @ sK33))) & ((in @ sK32 @ sK33) = $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X3 @ X5) != $true) | ($true = (in @ X3 @ (binintersect @ X5 @ X4))) | ((in @ X3 @ X4) != $true)) | (binintersectI != $true))),
% 244.27/36.05 inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34])],[f522,f523])).
% 244.27/36.05 thf(f523,plain,(
% 244.27/36.05 ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X2) = $true) & ((in @ X0 @ (binintersect @ X2 @ X1)) != $true) & ((in @ X0 @ X1) = $true)) => (((in @ sK32 @ sK34) = $true) & ($true != (in @ sK32 @ (binintersect @ sK34 @ sK33))) & ((in @ sK32 @ sK33) = $true))),
% 244.27/36.05 introduced(definition,[],[choice_axiom])).
% 244.27/36.05 thf(f522,plain,(
% 244.27/36.05 ((binintersectI = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X2) = $true) & ((in @ X0 @ (binintersect @ X2 @ X1)) != $true) & ((in @ X0 @ X1) = $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X3 @ X5) != $true) | ($true = (in @ X3 @ (binintersect @ X5 @ X4))) | ((in @ X3 @ X4) != $true)) | (binintersectI != $true))),
% 244.27/36.05 inference(rectify,[status(thm)],[f521])).
% 244.27/36.05 thf(f521,plain,(
% 244.27/36.05 ((binintersectI = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X2) = $true) & ((in @ X0 @ (binintersect @ X2 @ X1)) != $true) & ((in @ X0 @ X1) = $true))) & (! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X2) != $true) | ((in @ X0 @ (binintersect @ X2 @ X1)) = $true) | ((in @ X0 @ X1) != $true)) | (binintersectI != $true))),
% 244.27/36.05 inference(nnf_transformation,[status(thm)],[f449])).
% 244.27/36.05 thf(f449,plain,(
% 244.27/36.05 (binintersectI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X2) != $true) | ((in @ X0 @ (binintersect @ X2 @ X1)) = $true) | ((in @ X0 @ X1) != $true))),
% 244.27/36.05 inference(flattening,[status(thm)],[f448])).
% 244.27/36.05 thf(f448,plain,(
% 244.27/36.05 (binintersectI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X0 @ (binintersect @ X2 @ X1)) = $true) | ((in @ X0 @ X1) != $true)) | ((in @ X0 @ X2) != $true))),
% 244.27/36.05 inference(ennf_transformation,[status(thm)],[f240])).
% 244.27/36.05 thf(f240,plain,(
% 244.27/36.05 (binintersectI = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X0 @ X2) = $true) => (((in @ X0 @ X1) = $true) => ((in @ X0 @ (binintersect @ X2 @ X1)) = $true)))),
% 244.27/36.05 inference(fool_elimination,[status(thm)],[f239])).
% 244.27/36.05 thf(f239,plain,(
% 244.27/36.05 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ X2) => ((in @ X0 @ X1) => (in @ X0 @ (binintersect @ X2 @ X1)))) = binintersectI)),
% 244.27/36.05 inference(rectify,[status(thm)],[f109])).
% 244.27/36.05 thf(f109,axiom,(
% 244.27/36.05 (! [X1 : $i,X4 : $i,X3 : $i] : ((in @ X1 @ X3) => ((in @ X1 @ X4) => (in @ X1 @ (binintersect @ X3 @ X4)))) = binintersectI)),
% 244.27/36.05 file('/export/starexec/sandbox/tmp/tmp.zx5NEiUCje/DTF2THF_11920.p',binintersectI)).
% 244.27/36.05 thf(f2248,plain,(
% 244.27/36.05 ($true != (in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ (binintersect @ sK151 @ sK150)))),
% 244.27/36.05 inference(subsumption_resolution,[status(thm)],[f2225,f1279])).
% 244.27/36.05 thf(f2225,plain,(
% 244.27/36.05 ($true != (in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ (binintersect @ sK151 @ sK150))) | (subsetI2 != $true)),
% 244.27/36.05 inference(trivial_inequality_removal,[status(thm)],[f2204])).
% 244.27/36.05 thf(f2204,plain,(
% 244.27/36.05 ($true != $true) | (subsetI2 != $true) | ($true != (in @ (sK109 @ sK152 @ (binintersect @ sK151 @ sK150)) @ (binintersect @ sK151 @ sK150)))),
% 244.27/36.05 inference(superposition,[status(thm)],[f1288,f1179])).
% 244.27/36.05 thf(f1179,plain,(
% 244.27/36.05 ( ! [X0 : $i,X1 : $i] : (((subset @ X1 @ X0) = $true) | ((in @ (sK109 @ X1 @ X0) @ X0) != $true) | (subsetI2 != $true)) )),
% 244.27/36.05 inference(cnf_transformation,[status(thm)],[f673])).
% 244.27/36.05 % SZS output end Proof for DTF2THF_11920
% 244.27/36.05 % (13036)------------------------------
% 244.27/36.05 % (13036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 244.27/36.05 % (13036)Termination reason: Refutation
% 244.27/36.05
% 244.27/36.05 % (13036)Memory used [KB]: 14583
% 244.27/36.05 % (13036)Time elapsed: 3.165 s
% 244.27/36.05 % (13036)Instructions burned: 6262 (million)
% 244.27/36.05 % (13036)------------------------------
% 244.27/36.05 % (13036)------------------------------
% 244.27/36.05 % (12112)Success in time 34.644 s
%------------------------------------------------------------------------------