%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU588^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n031.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 09:35:26 AM UTC 2026
% Result : Theorem 44.97s 7.73s
% Output : Refutation 44.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 1954 ( 535 equ; 0 cnn)
% Maximal formula atoms : 105 ( 44 avg)
% Number of connectives : 1155 ( 56 ~; 46 |; 334 &; 286 @)
% ( 4 <=>; 429 =>; 0 <=; 0 <~>)
% Maximal formula depth : 111 ( 22 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 270 ( 267 usr; 113 con; 0-4 aty)
% Number of variables : 111 ( 0 ^; 86 !; 25 ?; 111 :)
% 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_148,type,
sP15: $i > $i > $i > $o ).
thf(func_def_149,type,
sP16: $i > $i > $o ).
thf(func_def_150,type,
sP17: $i > $o ).
thf(func_def_151,type,
sP18: $i > $i > $o ).
thf(func_def_152,type,
sP19: $i > $i > $o ).
thf(func_def_153,type,
sP20: $i > $i > $o ).
thf(func_def_161,type,
sP28: ( $i > $i > $o ) > $i > $o ).
thf(func_def_162,type,
sK29: $i > $o ).
thf(func_def_164,type,
sK31: $i > ( $i > $o ) > $i ).
thf(func_def_177,type,
sK44: $i > $o ).
thf(func_def_179,type,
sK46: ( $i > $o ) > $i ).
thf(func_def_180,type,
sK47: ( $i > $o ) > $i ).
thf(func_def_185,type,
sK52: $i > $o ).
thf(func_def_187,type,
sK54: $i > ( $i > $o ) > $i ).
thf(func_def_193,type,
sK60: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_194,type,
sK61: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_195,type,
sK62: $i > $o ).
thf(func_def_196,type,
sK63: $i > $o ).
thf(func_def_205,type,
sK72: $i > $i ).
thf(func_def_206,type,
sK73: $i > $i ).
thf(func_def_207,type,
sK74: $i > $i ).
thf(func_def_211,type,
sK78: $i > $o ).
thf(func_def_212,type,
sK79: $i > $o ).
thf(func_def_213,type,
sK80: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_214,type,
sK81: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_216,type,
sK83: $i > $o ).
thf(func_def_218,type,
sK85: ( $i > $o ) > $i > $i ).
thf(func_def_225,type,
sK92: $i > $i > $i ).
thf(func_def_226,type,
sK93: $i > $o ).
thf(func_def_229,type,
sK96: $i > $o ).
thf(func_def_230,type,
sK97: $i > $i ).
thf(func_def_231,type,
sK98: ( $i > $o ) > $i ).
thf(func_def_245,type,
sK112: $i > $o ).
thf(func_def_247,type,
sK114: ( $i > $o ) > $i > $i ).
thf(func_def_250,type,
sK117: $i > $o ).
thf(func_def_252,type,
sK119: ( $i > $o ) > $i > $i ).
thf(func_def_258,type,
sK125: $i > $i > $i ).
thf(func_def_269,type,
sK136: $i > $i ).
thf(func_def_276,type,
sK143: $i > $o ).
thf(func_def_282,type,
sK149: $i > $o ).
thf(func_def_284,type,
sK151: $i > $i ).
thf(func_def_293,type,
sK160: $i > $o ).
thf(func_def_303,type,
sK170: $o > $i > $i > $i ).
thf(func_def_306,type,
sK173: $i > $o ).
thf(func_def_311,type,
sK178: $i > $i ).
thf(func_def_312,type,
sK179: $i > $i ).
thf(func_def_314,type,
sK181: $i > $o ).
thf(func_def_328,type,
sK195: $i > $i > $i ).
thf(func_def_331,type,
sK198: $i > $o ).
thf(func_def_333,type,
sK200: $i > $o ).
thf(func_def_335,type,
sK202: ( $i > $o ) > $i > $i ).
thf(func_def_336,type,
sK203: $i > $i > $i ).
thf(func_def_337,type,
sK204: $i > $i > $i ).
thf(func_def_338,type,
sK205: $i > $i > $i ).
thf(func_def_339,type,
sK206: $i > $i > $i ).
thf(func_def_340,type,
sK207: $i > $i > $i ).
thf(func_def_341,type,
sK208: $i > $i > $i ).
thf(func_def_342,type,
sK209: $i > $i > $i ).
thf(func_def_343,type,
sK210: $i > $i > $i > $i ).
thf(func_def_344,type,
sK211: $i > $i ).
thf(func_def_345,type,
sK212: $i > $i ).
thf(func_def_346,type,
sK213: $i > $i ).
thf(func_def_347,type,
sK214: $i > $i ).
thf(func_def_348,type,
sK215: $i > $i > $i ).
thf(func_def_349,type,
sK216: $i > $i > $i ).
thf(func_def_350,type,
sK217: $i > $i > $i ).
thf(func_def_351,type,
sK218: $i > $i > $i > $i ).
thf(func_def_352,type,
sK219: $i > $i > $i > $i ).
thf(func_def_353,type,
sK220: $i > $i ).
thf(func_def_357,type,
sK224: $i > $i > $i ).
thf(func_def_358,type,
sK225: $i > $i > $i ).
thf(func_def_363,type,
sK230: $i > $o ).
thf(func_def_374,type,
sK241: $i > $o ).
thf(func_def_375,type,
sK242: $i > $o ).
thf(func_def_376,type,
sK243: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_377,type,
sK244: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_383,type,
sK250: $i > $o ).
thf(func_def_384,type,
sK251: ( $i > $o ) > $i ).
thf(func_def_393,type,
sK260: $i > $i > $i ).
thf(func_def_396,type,
sK263: $i > $o ).
thf(func_def_398,type,
sK265: ( $i > $o ) > $i > $i ).
thf(func_def_399,type,
sK266: $i > $o ).
thf(func_def_400,type,
sK267: $i > $i ).
thf(func_def_401,type,
sK268: ( $i > $o ) > $i ).
thf(func_def_403,type,
sK270: $i > $o ).
thf(func_def_410,type,
sK277: $i > $i > $i ).
thf(func_def_417,type,
sK284: $i > $o ).
thf(func_def_420,type,
sK287: $i > $i > $i ).
thf(func_def_423,type,
sK290: $i > $o ).
thf(func_def_427,type,
sK294: $i > $o ).
thf(func_def_429,type,
sK296: ( $i > $o ) > $i > $i ).
thf(func_def_438,type,
sK305: $i > $o ).
thf(func_def_439,type,
sK306: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_440,type,
sK307: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_441,type,
sK308: ( $i > $i > $o ) > $i > $i ).
thf(func_def_442,type,
sK309: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_444,type,
sK311: $i > $i > $o ).
thf(func_def_445,type,
sK312: ( $i > $i > $o ) > $i > $i ).
thf(func_def_446,type,
sK313: ( $i > $o ) > $i > $i ).
thf(func_def_447,type,
sK314: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_448,type,
sK315: ( $i > $o ) > $i > $i ).
thf(func_def_449,type,
sK316: ( $i > $o ) > $i > $i ).
thf(func_def_450,type,
sK317: $i > $i ).
thf(func_def_452,type,
sK319: ( $i > $o ) > $i ).
thf(func_def_453,type,
sK320: ( $i > $o ) > $i > $i ).
thf(func_def_454,type,
sK321: ( $i > $o ) > $i ).
thf(func_def_455,type,
sK322: ( $i > $o ) > $i ).
thf(func_def_456,type,
sK323: ( $i > $o ) > $i ).
thf(func_def_457,type,
sK324: ( $i > $o ) > $i > $i ).
thf(func_def_458,type,
sK325: $i > ( $i > $o ) > $i ).
thf(func_def_460,type,
sK327: ( $i > $o ) > $i > $i ).
thf(func_def_461,type,
sK328: $i > ( $i > $o ) > $i ).
thf(func_def_462,type,
sK329: $i > $i ).
thf(func_def_463,type,
sK330: ( $i > $o ) > $i ).
thf(func_def_464,type,
sK331: $i > $i ).
thf(func_def_465,type,
sK332: ( $i > $o ) > $i ).
thf(func_def_467,type,
sK334: ( $i > $o ) > $i ).
thf(func_def_468,type,
sK335: ( $i > $o ) > $i ).
thf(func_def_469,type,
sK336: ( $i > $o ) > $i > $i ).
thf(func_def_470,type,
sK337: ( $i > $o ) > $i > $i ).
thf(func_def_471,type,
sK338: ( $i > $o ) > $i ).
thf(func_def_472,type,
sK339: ( $i > $o ) > $i > $i ).
thf(func_def_473,type,
sK340: ( $i > $o ) > $i > $i ).
thf(func_def_474,type,
sK341: ( $i > $o ) > $i ).
thf(func_def_475,type,
sK342: ( $i > $o ) > $i > $i ).
thf(func_def_476,type,
sK343: ( $i > $o ) > $i ).
thf(func_def_477,type,
sK344: ( $i > $o ) > $i > $i ).
thf(func_def_478,type,
sK345: ( $i > $o ) > $i > $i ).
thf(func_def_479,type,
sK346: $i > ( $i > $o ) > $i ).
thf(func_def_480,type,
sK347: $i > ( $i > $o ) > $i ).
thf(func_def_482,type,
sK349: ( $i > $o ) > $i > $i ).
thf(func_def_483,type,
sK350: $i > ( $i > $o ) > $i ).
thf(func_def_484,type,
sK351: ( $i > $o ) > $i ).
thf(func_def_485,type,
sK352: ( $i > $o ) > $i ).
thf(func_def_486,type,
sK353: ( $i > $o ) > $i ).
thf(func_def_487,type,
sK354: ( $i > $o ) > $i > $i ).
thf(func_def_488,type,
sK355: $i > ( $i > $o ) > $i ).
thf(func_def_489,type,
sK356: $i > ( $i > $o ) > $i ).
thf(func_def_490,type,
sK357: ( $i > $o ) > $i > $i ).
thf(func_def_491,type,
sK358: $i > ( $i > $o ) > $i ).
thf(func_def_492,type,
sK359: $i > ( $i > $o ) > $i ).
thf(func_def_493,type,
ph360:
!>[X0: $tType] : X0 ).
thf(f16969,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f16927]) ).
thf(f16927,plain,
$true != $true,
inference(superposition,[status(thm)],[f1224,f16813]) ).
thf(f16813,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ ( binunion @ X1 @ X0 ) )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f16812]) ).
thf(f16812,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( subset @ X0 @ ( binunion @ X1 @ X0 ) )
= $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f16773]) ).
thf(f16773,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X0 @ ( binunion @ X1 @ X0 ) )
= $true )
| ( ( subset @ X0 @ ( binunion @ X1 @ X0 ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f2380,f2728]) ).
thf(f2728,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ ( sK277 @ X0 @ X1 ) @ ( binunion @ X2 @ X0 ) )
= $true )
| ( ( subset @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f2712]) ).
thf(f2712,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( in @ ( sK277 @ X0 @ X1 ) @ ( binunion @ X2 @ X0 ) )
= $true )
| ( ( subset @ X0 @ X1 )
= $true ) ),
inference(superposition,[status(thm)],[f2007,f2153]) ).
thf(f2153,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ ( sK277 @ X1 @ X0 ) @ X1 ) )
| ( ( subset @ X1 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f1875]) ).
thf(f1875,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ ( sK277 @ X1 @ X0 ) @ X1 ) )
| ( ( subset @ X1 @ X0 )
= $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f1551,f1284]) ).
thf(f1284,plain,
subsetI1 = $true,
inference(cnf_transformation,[status(thm)],[f701]) ).
thf(f701,plain,
( ( sepSubset = $true )
& ( subsetTrans = $true )
& ( setextsub = $true )
& ( eqimpsubset1 = $true )
& ( vacuousDall = $true )
& ( in__Cong = $true )
& ( exuE3e = $true )
& ( exuEu = $true )
& ( omegaSAx = $true )
& ( setoftrueEq = $true )
& ( wellorderingAx = $true )
& ( nonemptyImpWitness = $true )
& ( upairsetIL = $true )
& ( quantDeMorgan2 = $true )
& ( notdallE = $true )
& ( dsetconstrER = $true )
& ( binunionIL = $true )
& ( powersetE1 = $true )
& ( setbeta = $true )
& ( quantDeMorgan3 = $true )
& ( subsetE = $true )
& ( powersetI1 = $true )
& ( subsetE2 = $true )
& ( subsetI1 = $true )
& ( setadjoin__Cong = $true )
& ( setext = $true )
& ( notequalI2 = $true )
& ( noeltsimpempty = $true )
& ( foundationAx = $true )
& ( setadjoinE = $true )
& ( exuI1 = $true )
& ( emptyInPowerset = $true )
& ( subsetRefl = $true )
& ( upairsetIR = $true )
& ( emptysetE = $true )
& ( omegaIndAx = $true )
& ( exu__Cong = $true )
& ( powersetE = $true )
& ( emptyE1 = $true )
& ( notequalI1 = $true )
& ( omega__Cong = $true )
& ( notsubsetI = $true )
& ( dsetconstrI = $true )
& ( emptyinPowerset = $true )
& ( subsetemptysetimpeq = $true )
& ( subPowSU = $true )
& ( dsetconstrEL = $true )
& ( emptysetimpfalse = $true )
& ( replAx = $true )
& ( setunionE = $true )
& ( powersetsubset = $true )
& ( descrp = $true )
& ( exuI2 = $true )
& ( prop2setI = $true )
& ( setextAx = $true )
& ( binunionE = $true )
& ( notdexE = $true )
& ( exuE3u = $true )
& ( quantDeMorgan4 = $true )
& ( singletonsswitch = $true )
& ( descr__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoinAx = $true )
& ( exuE1 = $true )
& ( nonemptyI1 = $true )
& ( setadjoinOr = $true )
& ( setadjoinIR = $true )
& ( upairset2IR = $true )
& ( prop2set2propI = $true )
& ( emptysetAx = $true )
& ( emptyI = $true )
& ( subsetI2 = $true )
& ( binunionIR = $true )
& ( exuE2 = $true )
& ( setunionAx = $true )
& ( binunionEcases = $true )
& ( quantDeMorgan1 = $true )
& ( eqimpsubset2 = $true )
& ( setadjoinSub = $true )
& ( nonemptyI = $true )
& ( setadjoinIL = $true )
& ( setunionI = $true )
& ( eqinunit = $true )
& ( ( subset @ sK132 @ ( binunion @ sK133 @ sK132 ) )
!= $true )
& ( powersetAx = $true )
& ( upairsetE = $true )
& ( emptyset__Cong = $true )
& ( emptysetsubset = $true )
& ( binunionLsub = $true )
& ( notinemptyset = $true )
& ( uniqinunit = $true )
& ( inPowerset = $true )
& ( inCongP = $true )
& ( notinsingleton = $true )
& ( setadjoinSub2 = $true )
& ( setunion__Cong = $true )
& ( exuI3 = $true )
& ( omega0Ax = $true )
& ( powersetI = $true )
& ( subset2powerset = $true )
& ( nonemptyE1 = $true )
& ( prop2setE = $true )
& ( sepInPowerset = $true )
& ( emptyinunitempty = $true )
& ( dsetconstr__Cong = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK132,sK133])],[f411,f700]) ).
thf(f700,plain,
( ? [X0: $i,X1: $i] :
( ( subset @ X0 @ ( binunion @ X1 @ X0 ) )
!= $true )
=> ( ( subset @ sK132 @ ( binunion @ sK133 @ sK132 ) )
!= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f411,plain,
( ( sepSubset = $true )
& ( subsetTrans = $true )
& ( setextsub = $true )
& ( eqimpsubset1 = $true )
& ( vacuousDall = $true )
& ( in__Cong = $true )
& ( exuE3e = $true )
& ( exuEu = $true )
& ( omegaSAx = $true )
& ( setoftrueEq = $true )
& ( wellorderingAx = $true )
& ( nonemptyImpWitness = $true )
& ( upairsetIL = $true )
& ( quantDeMorgan2 = $true )
& ( notdallE = $true )
& ( dsetconstrER = $true )
& ( binunionIL = $true )
& ( powersetE1 = $true )
& ( setbeta = $true )
& ( quantDeMorgan3 = $true )
& ( subsetE = $true )
& ( powersetI1 = $true )
& ( subsetE2 = $true )
& ( subsetI1 = $true )
& ( setadjoin__Cong = $true )
& ( setext = $true )
& ( notequalI2 = $true )
& ( noeltsimpempty = $true )
& ( foundationAx = $true )
& ( setadjoinE = $true )
& ( exuI1 = $true )
& ( emptyInPowerset = $true )
& ( subsetRefl = $true )
& ( upairsetIR = $true )
& ( emptysetE = $true )
& ( omegaIndAx = $true )
& ( exu__Cong = $true )
& ( powersetE = $true )
& ( emptyE1 = $true )
& ( notequalI1 = $true )
& ( omega__Cong = $true )
& ( notsubsetI = $true )
& ( dsetconstrI = $true )
& ( emptyinPowerset = $true )
& ( subsetemptysetimpeq = $true )
& ( subPowSU = $true )
& ( dsetconstrEL = $true )
& ( emptysetimpfalse = $true )
& ( replAx = $true )
& ( setunionE = $true )
& ( powersetsubset = $true )
& ( descrp = $true )
& ( exuI2 = $true )
& ( prop2setI = $true )
& ( setextAx = $true )
& ( binunionE = $true )
& ( notdexE = $true )
& ( exuE3u = $true )
& ( quantDeMorgan4 = $true )
& ( singletonsswitch = $true )
& ( descr__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoinAx = $true )
& ( exuE1 = $true )
& ( nonemptyI1 = $true )
& ( setadjoinOr = $true )
& ( setadjoinIR = $true )
& ( upairset2IR = $true )
& ( prop2set2propI = $true )
& ( emptysetAx = $true )
& ( emptyI = $true )
& ( subsetI2 = $true )
& ( binunionIR = $true )
& ( exuE2 = $true )
& ( setunionAx = $true )
& ( binunionEcases = $true )
& ( quantDeMorgan1 = $true )
& ( eqimpsubset2 = $true )
& ( setadjoinSub = $true )
& ( nonemptyI = $true )
& ( setadjoinIL = $true )
& ( setunionI = $true )
& ( eqinunit = $true )
& ? [X0: $i,X1: $i] :
( ( subset @ X0 @ ( binunion @ X1 @ X0 ) )
!= $true )
& ( powersetAx = $true )
& ( upairsetE = $true )
& ( emptyset__Cong = $true )
& ( emptysetsubset = $true )
& ( binunionLsub = $true )
& ( notinemptyset = $true )
& ( uniqinunit = $true )
& ( inPowerset = $true )
& ( inCongP = $true )
& ( notinsingleton = $true )
& ( setadjoinSub2 = $true )
& ( setunion__Cong = $true )
& ( exuI3 = $true )
& ( omega0Ax = $true )
& ( powersetI = $true )
& ( subset2powerset = $true )
& ( nonemptyE1 = $true )
& ( prop2setE = $true )
& ( sepInPowerset = $true )
& ( emptyinunitempty = $true )
& ( dsetconstr__Cong = $true ) ),
inference(flattening,[status(thm)],[f410]) ).
thf(f410,plain,
( ? [X0: $i,X1: $i] :
( ( subset @ X0 @ ( binunion @ X1 @ X0 ) )
!= $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)],[f267]) ).
thf(f267,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 )
=> ! [X0: $i,X1: $i] :
( ( subset @ X0 @ ( binunion @ X1 @ X0 ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f266]) ).
thf(f266,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
=> ! [X0: $i,X1: $i] : ( subset @ X0 @ ( binunion @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f108]) ).
thf(f108,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
=> ! [X4: $i,X3: $i] : ( subset @ X4 @ ( binunion @ X3 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f107]) ).
thf(f107,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
=> ! [X4: $i,X3: $i] : ( subset @ X4 @ ( binunion @ X3 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.BYhxQTwj8h/DTF2THF_8951.p',binunionRsub) ).
thf(f1551,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ ( sK277 @ X1 @ X0 ) @ X1 ) )
| ( ( subset @ X1 @ X0 )
= $true )
| ( subsetI1 != $true ) ),
inference(cnf_transformation,[status(thm)],[f972]) ).
thf(f972,plain,
( ( ! [X0: $i,X1: $i] :
( ( ( $true
= ( in @ ( sK277 @ X1 @ X0 ) @ X1 ) )
& ( ( in @ ( sK277 @ X1 @ X0 ) @ X0 )
!= $true ) )
| ( ( subset @ X1 @ X0 )
= $true ) )
| ( subsetI1 != $true ) )
& ( ( subsetI1 = $true )
| ( ! [X5: $i] :
( ( $true
!= ( in @ X5 @ sK279 ) )
| ( $true
= ( in @ X5 @ sK278 ) ) )
& ( ( subset @ sK279 @ sK278 )
!= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK277,sK278,sK279])],[f969,f971,f970]) ).
thf(f970,plain,
! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ X1 ) )
& ( ( in @ X2 @ X0 )
!= $true ) )
=> ( ( $true
= ( in @ ( sK277 @ X1 @ X0 ) @ X1 ) )
& ( ( in @ ( sK277 @ X1 @ X0 ) @ X0 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f971,plain,
( ? [X3: $i,X4: $i] :
( ! [X5: $i] :
( ( ( in @ X5 @ X4 )
!= $true )
| ( ( in @ X5 @ X3 )
= $true ) )
& ( ( subset @ X4 @ X3 )
!= $true ) )
=> ( ! [X5: $i] :
( ( $true
!= ( in @ X5 @ sK279 ) )
| ( $true
= ( in @ X5 @ sK278 ) ) )
& ( ( subset @ sK279 @ sK278 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f969,plain,
( ( ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ X1 ) )
& ( ( in @ X2 @ X0 )
!= $true ) )
| ( ( subset @ X1 @ X0 )
= $true ) )
| ( subsetI1 != $true ) )
& ( ( subsetI1 = $true )
| ? [X3: $i,X4: $i] :
( ! [X5: $i] :
( ( ( in @ X5 @ X4 )
!= $true )
| ( ( in @ X5 @ X3 )
= $true ) )
& ( ( subset @ X4 @ X3 )
!= $true ) ) ) ),
inference(rectify,[status(thm)],[f968]) ).
thf(f968,plain,
( ( ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ X1 ) )
& ( ( in @ X2 @ X0 )
!= $true ) )
| ( ( subset @ X1 @ X0 )
= $true ) )
| ( subsetI1 != $true ) )
& ( ( subsetI1 = $true )
| ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ X1 ) )
| ( ( in @ X2 @ X0 )
= $true ) )
& ( ( subset @ X1 @ X0 )
!= $true ) ) ) ),
inference(nnf_transformation,[status(thm)],[f435]) ).
thf(f435,plain,
( ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ X1 ) )
& ( ( in @ X2 @ X0 )
!= $true ) )
| ( ( subset @ X1 @ X0 )
= $true ) )
<=> ( subsetI1 = $true ) ),
inference(ennf_transformation,[status(thm)],[f313]) ).
thf(f313,plain,
( ( subsetI1 = $true )
<=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
= ( in @ X2 @ X1 ) )
=> ( ( in @ X2 @ X0 )
= $true ) )
=> ( ( subset @ X1 @ X0 )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f312]) ).
thf(f312,plain,
! [X0: $i,X1: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( subset @ X1 @ X0 ) )
= subsetI1 ),
inference(rectify,[status(thm)],[f78]) ).
thf(f78,axiom,
! [X4: $i,X3: $i] :
( ( ! [X1: $i] :
( ( in @ X1 @ X3 )
=> ( in @ X1 @ X4 ) )
=> ( subset @ X3 @ X4 ) )
= subsetI1 ),
file('/export/starexec/sandbox2/tmp/tmp.BYhxQTwj8h/DTF2THF_8951.p',subsetI1) ).
thf(f2007,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X3 )
!= $true )
| ( ( in @ X4 @ ( binunion @ X5 @ X3 ) )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f1799]) ).
thf(f1799,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X3 )
!= $true )
| ( $true != $true )
| ( ( in @ X4 @ ( binunion @ X5 @ X3 ) )
= $true ) ),
inference(definition_unfolding,[status(thm)],[f1393,f1235]) ).
thf(f1235,plain,
binunionIR = $true,
inference(cnf_transformation,[status(thm)],[f701]) ).
thf(f1393,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ ( binunion @ X5 @ X3 ) )
= $true )
| ( ( in @ X4 @ X3 )
!= $true )
| ( binunionIR != $true ) ),
inference(cnf_transformation,[status(thm)],[f803]) ).
thf(f803,plain,
( ( ( binunionIR = $true )
| ( ( $true
!= ( in @ sK186 @ ( binunion @ sK187 @ sK185 ) ) )
& ( ( in @ sK186 @ sK185 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ ( binunion @ X5 @ X3 ) )
= $true )
| ( ( in @ X4 @ X3 )
!= $true ) )
| ( binunionIR != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK185,sK186,sK187])],[f801,f802]) ).
thf(f802,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( binunion @ X2 @ X0 ) )
!= $true )
& ( ( in @ X1 @ X0 )
= $true ) )
=> ( ( $true
!= ( in @ sK186 @ ( binunion @ sK187 @ sK185 ) ) )
& ( ( in @ sK186 @ sK185 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f801,plain,
( ( ( binunionIR = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( binunion @ X2 @ X0 ) )
!= $true )
& ( ( in @ X1 @ X0 )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ ( binunion @ X5 @ X3 ) )
= $true )
| ( ( in @ X4 @ X3 )
!= $true ) )
| ( binunionIR != $true ) ) ),
inference(rectify,[status(thm)],[f800]) ).
thf(f800,plain,
( ( ( binunionIR = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( binunion @ X2 @ X0 ) )
!= $true )
& ( ( in @ X1 @ X0 )
= $true ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( binunion @ X2 @ X0 ) )
= $true )
| ( ( in @ X1 @ X0 )
!= $true ) )
| ( binunionIR != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f374]) ).
thf(f374,plain,
( ( binunionIR = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( binunion @ X2 @ X0 ) )
= $true )
| ( ( in @ X1 @ X0 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f287]) ).
thf(f287,plain,
( ( binunionIR = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ X0 )
= $true )
=> ( ( in @ X1 @ ( binunion @ X2 @ X0 ) )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f286]) ).
thf(f286,plain,
( binunionIR
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
=> ( in @ X1 @ ( binunion @ X2 @ X0 ) ) ) ) ),
inference(rectify,[status(thm)],[f103]) ).
thf(f103,axiom,
( binunionIR
= ( ! [X4: $i,X1: $i,X3: $i] :
( ( in @ X1 @ X4 )
=> ( in @ X1 @ ( binunion @ X3 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.BYhxQTwj8h/DTF2THF_8951.p',binunionIR) ).
thf(f2380,plain,
! [X0: $i,X1: $i] :
( ( ( in @ ( sK277 @ X1 @ X0 ) @ X0 )
!= $true )
| ( ( subset @ X1 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f1876]) ).
thf(f1876,plain,
! [X0: $i,X1: $i] :
( ( ( subset @ X1 @ X0 )
= $true )
| ( ( in @ ( sK277 @ X1 @ X0 ) @ X0 )
!= $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f1550,f1284]) ).
thf(f1550,plain,
! [X0: $i,X1: $i] :
( ( ( in @ ( sK277 @ X1 @ X0 ) @ X0 )
!= $true )
| ( ( subset @ X1 @ X0 )
= $true )
| ( subsetI1 != $true ) ),
inference(cnf_transformation,[status(thm)],[f972]) ).
thf(f1224,plain,
( ( subset @ sK132 @ ( binunion @ sK133 @ sK132 ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f701]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU588^1 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n031.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 12:28:33 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.29/0.46 ---- Original DTF file ---
% 0.29/0.46 thf(spec,logic,$$dhol).
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % File : SEU588^1 : TPTP v9.2.1. Released v3.7.0.
% 0.29/0.46 % Domain : Set Theory
% 0.29/0.46 % Problem : Preliminary Notions - Ops on Sets - Unions and Intersections
% 0.29/0.46 % Version : Especial.
% 0.29/0.46 % English : (! A:i.! B:i.subset B (binunion A B))
% 0.29/0.46
% 0.29/0.46 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.29/0.46 % Source : [Bro08]
% 0.29/0.46 % Names : ZFC090g [Bro08]
% 0.29/0.46
% 0.29/0.46 % Status : Theorem
% 0.29/0.46 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.33 v7.2.0, 0.25 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.29 v6.1.0, 0.43 v5.5.0, 0.33 v5.4.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.67 v4.0.1, 1.00 v3.7.0
% 0.29/0.46 % Syntax : Number of formulae : 227 ( 106 unt; 120 typ; 106 def)
% 0.29/0.46 % Number of atoms : 569 ( 155 equ; 0 cnn)
% 0.29/0.46 % Maximal formula atoms : 105 ( 5 avg)
% 0.29/0.46 % Number of connectives : 895 ( 29 ~; 6 |; 27 &; 563 @)
% 0.29/0.46 % ( 14 <=>; 256 =>; 0 <=; 0 <~>)
% 0.29/0.46 % Maximal formula depth : 110 ( 2 avg)
% 0.29/0.46 % Number of types : 2 ( 0 usr)
% 0.29/0.46 % Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% 0.29/0.46 % Number of symbols : 123 ( 120 usr; 108 con; 0-2 aty)
% 0.29/0.46 % Number of variables : 313 ( 30 ^; 255 !; 28 ?; 313 :)
% 0.29/0.46 % SPC : TH0_THM_EQU_NAR
% 0.29/0.46
% 0.29/0.46 % Comments : http://mathgate.info/detsetitem.php?id=164
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 thf(in_type,type,
% 0.29/0.46 in: $i > $i > $o ).
% 0.29/0.46
% 0.29/0.46 thf(exu_type,type,
% 0.29/0.46 exu: ( $i > $o ) > $o ).
% 0.29/0.46
% 0.29/0.46 thf(exu,definition,
% 0.29/0.46 ( exu
% 0.29/0.46 = ( ^ [Xphi: $i > $o] :
% 0.29/0.46 ? [Xx: $i] :
% 0.29/0.46 ( ( Xphi @ Xx )
% 0.29/0.46 & ! [Xy: $i] :
% 0.29/0.46 ( ( Xphi @ Xy )
% 0.29/0.46 => ( Xx = Xy ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setextAx_type,type,
% 0.29/0.46 setextAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setextAx,definition,
% 0.29/0.46 ( setextAx
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 <=> ( in @ Xx @ B ) )
% 0.29/0.46 => ( A = B ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptyset_type,type,
% 0.29/0.46 emptyset: $i ).
% 0.29/0.46
% 0.29/0.46 thf(emptysetAx_type,type,
% 0.29/0.46 emptysetAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptysetAx,definition,
% 0.29/0.46 ( emptysetAx
% 0.29/0.46 = ( ! [Xx: $i] :
% 0.29/0.46 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoin_type,type,
% 0.29/0.46 setadjoin: $i > $i > $i ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinAx_type,type,
% 0.29/0.46 setadjoinAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinAx,definition,
% 0.29/0.46 ( setadjoinAx
% 0.29/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.29/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.29/0.46 <=> ( ( Xy = Xx )
% 0.29/0.46 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(powerset_type,type,
% 0.29/0.46 powerset: $i > $i ).
% 0.29/0.46
% 0.29/0.46 thf(powersetAx_type,type,
% 0.29/0.46 powersetAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(powersetAx,definition,
% 0.29/0.46 ( powersetAx
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( in @ B @ ( powerset @ A ) )
% 0.29/0.46 <=> ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ B )
% 0.29/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setunion_type,type,
% 0.29/0.46 setunion: $i > $i ).
% 0.29/0.46
% 0.29/0.46 thf(setunionAx_type,type,
% 0.29/0.46 setunionAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setunionAx,definition,
% 0.29/0.46 ( setunionAx
% 0.29/0.46 = ( ! [A: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ ( setunion @ A ) )
% 0.29/0.46 <=> ? [B: $i] :
% 0.29/0.46 ( ( in @ Xx @ B )
% 0.29/0.46 & ( in @ B @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(omega_type,type,
% 0.29/0.46 omega: $i ).
% 0.29/0.46
% 0.29/0.46 thf(omega0Ax_type,type,
% 0.29/0.46 omega0Ax: $o ).
% 0.29/0.46
% 0.29/0.46 thf(omega0Ax,definition,
% 0.29/0.46 ( omega0Ax
% 0.29/0.46 = ( in @ emptyset @ omega ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(omegaSAx_type,type,
% 0.29/0.46 omegaSAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(omegaSAx,definition,
% 0.29/0.46 ( omegaSAx
% 0.29/0.46 = ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ omega )
% 0.29/0.46 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(omegaIndAx_type,type,
% 0.29/0.46 omegaIndAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(omegaIndAx,definition,
% 0.29/0.46 ( omegaIndAx
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ( ( ( in @ emptyset @ A )
% 0.29/0.46 & ! [Xx: $i] :
% 0.29/0.46 ( ( ( in @ Xx @ omega )
% 0.29/0.46 & ( in @ Xx @ A ) )
% 0.29/0.46 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.29/0.46 => ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ omega )
% 0.29/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(replAx_type,type,
% 0.29/0.46 replAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(replAx,definition,
% 0.29/0.46 ( replAx
% 0.29/0.46 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( exu
% 0.29/0.46 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.29/0.46 => ? [B: $i] :
% 0.29/0.46 ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ B )
% 0.29/0.46 <=> ? [Xy: $i] :
% 0.29/0.46 ( ( in @ Xy @ A )
% 0.29/0.46 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(foundationAx_type,type,
% 0.29/0.46 foundationAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(foundationAx,definition,
% 0.29/0.46 ( foundationAx
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.29/0.46 => ? [B: $i] :
% 0.29/0.46 ( ( in @ B @ A )
% 0.29/0.46 & ~ ? [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ B )
% 0.29/0.46 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(wellorderingAx_type,type,
% 0.29/0.46 wellorderingAx: $o ).
% 0.29/0.46
% 0.29/0.46 thf(wellorderingAx,definition,
% 0.29/0.46 ( wellorderingAx
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ? [B: $i] :
% 0.29/0.46 ( ! [C: $i] :
% 0.29/0.46 ( ( in @ C @ B )
% 0.29/0.46 => ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ C )
% 0.29/0.46 => ( in @ Xx @ A ) ) )
% 0.29/0.46 & ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( ( in @ Xx @ A )
% 0.29/0.46 & ( in @ Xy @ A ) )
% 0.29/0.46 => ( ! [C: $i] :
% 0.29/0.46 ( ( in @ C @ B )
% 0.29/0.46 => ( ( in @ Xx @ C )
% 0.29/0.46 <=> ( in @ Xy @ C ) ) )
% 0.29/0.46 => ( Xx = Xy ) ) )
% 0.29/0.46 & ! [C: $i,D: $i] :
% 0.29/0.46 ( ( ( in @ C @ B )
% 0.29/0.46 & ( in @ D @ B ) )
% 0.29/0.46 => ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ C )
% 0.29/0.46 => ( in @ Xx @ D ) )
% 0.29/0.46 | ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ D )
% 0.29/0.46 => ( in @ Xx @ C ) ) ) )
% 0.29/0.46 & ! [C: $i] :
% 0.29/0.46 ( ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ C )
% 0.29/0.46 => ( in @ Xx @ A ) )
% 0.29/0.46 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.29/0.46 => ? [D: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ D @ B )
% 0.29/0.46 & ( in @ Xx @ C )
% 0.29/0.46 & ~ ? [Xy: $i] :
% 0.29/0.46 ( ( in @ Xy @ D )
% 0.29/0.46 & ( in @ Xy @ C ) )
% 0.29/0.46 & ! [E: $i] :
% 0.29/0.46 ( ( in @ E @ B )
% 0.29/0.46 => ( ! [Xy: $i] :
% 0.29/0.46 ( ( in @ Xy @ E )
% 0.29/0.46 => ( in @ Xy @ D ) )
% 0.29/0.46 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(descr_type,type,
% 0.29/0.46 descr: ( $i > $o ) > $i ).
% 0.29/0.46
% 0.29/0.46 thf(descrp_type,type,
% 0.29/0.46 descrp: $o ).
% 0.29/0.46
% 0.29/0.46 thf(descrp,definition,
% 0.29/0.46 ( descrp
% 0.29/0.46 = ( ! [Xphi: $i > $o] :
% 0.29/0.46 ( ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 => ( Xphi
% 0.29/0.46 @ ( descr
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(dsetconstr_type,type,
% 0.29/0.46 dsetconstr: $i > ( $i > $o ) > $i ).
% 0.29/0.46
% 0.29/0.46 thf(dsetconstrI_type,type,
% 0.29/0.46 dsetconstrI: $o ).
% 0.29/0.46
% 0.29/0.46 thf(dsetconstrI,definition,
% 0.29/0.46 ( dsetconstrI
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( ( Xphi @ Xx )
% 0.29/0.46 => ( in @ Xx
% 0.29/0.46 @ ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(dsetconstrEL_type,type,
% 0.29/0.46 dsetconstrEL: $o ).
% 0.29/0.46
% 0.29/0.46 thf(dsetconstrEL,definition,
% 0.29/0.46 ( dsetconstrEL
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx
% 0.29/0.46 @ ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.29/0.46 => ( in @ Xx @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(dsetconstrER_type,type,
% 0.29/0.46 dsetconstrER: $o ).
% 0.29/0.46
% 0.29/0.46 thf(dsetconstrER,definition,
% 0.29/0.46 ( dsetconstrER
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx
% 0.29/0.46 @ ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.29/0.46 => ( Xphi @ Xx ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(exuE1_type,type,
% 0.29/0.46 exuE1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(exuE1,definition,
% 0.29/0.46 ( exuE1
% 0.29/0.46 = ( ! [Xphi: $i > $o] :
% 0.29/0.46 ( ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 => ? [Xx: $i] :
% 0.29/0.46 ( ( Xphi @ Xx )
% 0.29/0.46 & ! [Xy: $i] :
% 0.29/0.46 ( ( Xphi @ Xy )
% 0.29/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(prop2set_type,type,
% 0.29/0.46 prop2set: $o > $i ).
% 0.29/0.46
% 0.29/0.46 thf(prop2setE_type,type,
% 0.29/0.46 prop2setE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(prop2setE,definition,
% 0.29/0.46 ( prop2setE
% 0.29/0.46 = ( ! [Xphi: $o,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.29/0.46 => Xphi ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptysetE_type,type,
% 0.29/0.46 emptysetE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptysetE,definition,
% 0.29/0.46 ( emptysetE
% 0.29/0.46 = ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ emptyset )
% 0.29/0.46 => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptysetimpfalse_type,type,
% 0.29/0.46 emptysetimpfalse: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptysetimpfalse,definition,
% 0.29/0.46 ( emptysetimpfalse
% 0.29/0.46 = ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ emptyset )
% 0.29/0.46 => $false ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(notinemptyset_type,type,
% 0.29/0.46 notinemptyset: $o ).
% 0.29/0.46
% 0.29/0.46 thf(notinemptyset,definition,
% 0.29/0.46 ( notinemptyset
% 0.29/0.46 = ( ! [Xx: $i] :
% 0.29/0.46 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(exuE3e_type,type,
% 0.29/0.46 exuE3e: $o ).
% 0.29/0.46
% 0.29/0.46 thf(exuE3e,definition,
% 0.29/0.46 ( exuE3e
% 0.29/0.46 = ( ! [Xphi: $i > $o] :
% 0.29/0.46 ( ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setext_type,type,
% 0.29/0.46 setext: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setext,definition,
% 0.29/0.46 ( setext
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( in @ Xx @ B ) )
% 0.29/0.46 => ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ B )
% 0.29/0.46 => ( in @ Xx @ A ) )
% 0.29/0.46 => ( A = B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptyI_type,type,
% 0.29/0.46 emptyI: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptyI,definition,
% 0.29/0.46 ( emptyI
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ~ ( in @ Xx @ A )
% 0.29/0.46 => ( A = emptyset ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(noeltsimpempty_type,type,
% 0.29/0.46 noeltsimpempty: $o ).
% 0.29/0.46
% 0.29/0.46 thf(noeltsimpempty,definition,
% 0.29/0.46 ( noeltsimpempty
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ~ ( in @ Xx @ A )
% 0.29/0.46 => ( A = emptyset ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setbeta_type,type,
% 0.29/0.46 setbeta: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setbeta,definition,
% 0.29/0.46 ( setbeta
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( ( in @ Xx
% 0.29/0.46 @ ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.29/0.46 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(nonempty_type,type,
% 0.29/0.46 nonempty: $i > $o ).
% 0.29/0.46
% 0.29/0.46 thf(nonempty,definition,
% 0.29/0.46 ( nonempty
% 0.29/0.46 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(nonemptyE1_type,type,
% 0.29/0.46 nonemptyE1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(nonemptyE1,definition,
% 0.29/0.46 ( nonemptyE1
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ( ( nonempty @ A )
% 0.29/0.46 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(nonemptyI_type,type,
% 0.29/0.46 nonemptyI: $o ).
% 0.29/0.46
% 0.29/0.46 thf(nonemptyI,definition,
% 0.29/0.46 ( nonemptyI
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( ( Xphi @ Xx )
% 0.29/0.46 => ( nonempty
% 0.29/0.46 @ ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(nonemptyI1_type,type,
% 0.29/0.46 nonemptyI1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(nonemptyI1,definition,
% 0.29/0.46 ( nonemptyI1
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.29/0.46 => ( nonempty @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinIL_type,type,
% 0.29/0.46 setadjoinIL: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinIL,definition,
% 0.29/0.46 ( setadjoinIL
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptyinunitempty_type,type,
% 0.29/0.46 emptyinunitempty: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptyinunitempty,definition,
% 0.29/0.46 ( emptyinunitempty
% 0.29/0.46 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinIR_type,type,
% 0.29/0.46 setadjoinIR: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinIR,definition,
% 0.29/0.46 ( setadjoinIR
% 0.29/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.29/0.46 ( ( in @ Xy @ A )
% 0.29/0.46 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinE_type,type,
% 0.29/0.46 setadjoinE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinE,definition,
% 0.29/0.46 ( setadjoinE
% 0.29/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.29/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.29/0.46 => ! [Xphi: $o] :
% 0.29/0.46 ( ( ( Xy = Xx )
% 0.29/0.46 => Xphi )
% 0.29/0.46 => ( ( ( in @ Xy @ A )
% 0.29/0.46 => Xphi )
% 0.29/0.46 => Xphi ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinOr_type,type,
% 0.29/0.46 setadjoinOr: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinOr,definition,
% 0.29/0.46 ( setadjoinOr
% 0.29/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.29/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.29/0.46 => ( ( Xy = Xx )
% 0.29/0.46 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setoftrueEq_type,type,
% 0.29/0.46 setoftrueEq: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setoftrueEq,definition,
% 0.29/0.46 ( setoftrueEq
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ( ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xx: $i] : $true )
% 0.29/0.46 = A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(powersetI_type,type,
% 0.29/0.46 powersetI: $o ).
% 0.29/0.46
% 0.29/0.46 thf(powersetI,definition,
% 0.29/0.46 ( powersetI
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ B )
% 0.29/0.46 => ( in @ Xx @ A ) )
% 0.29/0.46 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptyinPowerset_type,type,
% 0.29/0.46 emptyinPowerset: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptyinPowerset,definition,
% 0.29/0.46 ( emptyinPowerset
% 0.29/0.46 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptyInPowerset_type,type,
% 0.29/0.46 emptyInPowerset: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptyInPowerset,definition,
% 0.29/0.46 ( emptyInPowerset
% 0.29/0.46 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(powersetE_type,type,
% 0.29/0.46 powersetE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(powersetE,definition,
% 0.29/0.46 ( powersetE
% 0.29/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ B @ ( powerset @ A ) )
% 0.29/0.46 => ( ( in @ Xx @ B )
% 0.29/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setunionI_type,type,
% 0.29/0.46 setunionI: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setunionI,definition,
% 0.29/0.46 ( setunionI
% 0.29/0.46 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.29/0.46 ( ( in @ Xx @ B )
% 0.29/0.46 => ( ( in @ B @ A )
% 0.29/0.46 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setunionE_type,type,
% 0.29/0.46 setunionE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setunionE,definition,
% 0.29/0.46 ( setunionE
% 0.29/0.46 = ( ! [A: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ ( setunion @ A ) )
% 0.29/0.46 => ! [Xphi: $o] :
% 0.29/0.46 ( ! [B: $i] :
% 0.29/0.46 ( ( in @ Xx @ B )
% 0.29/0.46 => ( ( in @ B @ A )
% 0.29/0.46 => Xphi ) )
% 0.29/0.46 => Xphi ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subPowSU_type,type,
% 0.29/0.46 subPowSU: $o ).
% 0.29/0.46
% 0.29/0.46 thf(subPowSU,definition,
% 0.29/0.46 ( subPowSU
% 0.29/0.46 = ( ! [A: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(exuE2_type,type,
% 0.29/0.46 exuE2: $o ).
% 0.29/0.46
% 0.29/0.46 thf(exuE2,definition,
% 0.29/0.46 ( exuE2
% 0.29/0.46 = ( ! [Xphi: $i > $o] :
% 0.29/0.46 ( ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 => ? [Xx: $i] :
% 0.29/0.46 ! [Xy: $i] :
% 0.29/0.46 ( ( Xphi @ Xy )
% 0.29/0.46 <=> ( Xy = Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(nonemptyImpWitness_type,type,
% 0.29/0.46 nonemptyImpWitness: $o ).
% 0.29/0.46
% 0.29/0.46 thf(nonemptyImpWitness,definition,
% 0.29/0.46 ( nonemptyImpWitness
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ( ( nonempty @ A )
% 0.29/0.46 => ? [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 & $true ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(uniqinunit_type,type,
% 0.29/0.46 uniqinunit: $o ).
% 0.29/0.46
% 0.29/0.46 thf(uniqinunit,definition,
% 0.29/0.46 ( uniqinunit
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.29/0.46 => ( Xx = Xy ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(notinsingleton_type,type,
% 0.29/0.46 notinsingleton: $o ).
% 0.29/0.46
% 0.29/0.46 thf(notinsingleton,definition,
% 0.29/0.46 ( notinsingleton
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xx != Xy )
% 0.29/0.46 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(eqinunit_type,type,
% 0.29/0.46 eqinunit: $o ).
% 0.29/0.46
% 0.29/0.46 thf(eqinunit,definition,
% 0.29/0.46 ( eqinunit
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xx = Xy )
% 0.29/0.46 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(singletonsswitch_type,type,
% 0.29/0.46 singletonsswitch: $o ).
% 0.29/0.46
% 0.29/0.46 thf(singletonsswitch,definition,
% 0.29/0.46 ( singletonsswitch
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.29/0.46 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(upairsetE_type,type,
% 0.29/0.46 upairsetE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(upairsetE,definition,
% 0.29/0.46 ( upairsetE
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.29/0.46 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.29/0.46 => ( ( Xz = Xx )
% 0.29/0.46 | ( Xz = Xy ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(upairsetIL_type,type,
% 0.29/0.46 upairsetIL: $o ).
% 0.29/0.46
% 0.29/0.46 thf(upairsetIL,definition,
% 0.29/0.46 ( upairsetIL
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(upairsetIR_type,type,
% 0.29/0.46 upairsetIR: $o ).
% 0.29/0.46
% 0.29/0.46 thf(upairsetIR,definition,
% 0.29/0.46 ( upairsetIR
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptyE1_type,type,
% 0.29/0.46 emptyE1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptyE1,definition,
% 0.29/0.46 ( emptyE1
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.29/0.46 ( ? [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 & ( Xphi @ Xx ) )
% 0.29/0.46 => ( ( ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 = emptyset )
% 0.29/0.46 => $false ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(vacuousDall_type,type,
% 0.29/0.46 vacuousDall: $o ).
% 0.29/0.46
% 0.29/0.46 thf(vacuousDall,definition,
% 0.29/0.46 ( vacuousDall
% 0.29/0.46 = ( ! [Xphi: $i > $o,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ emptyset )
% 0.29/0.46 => ( Xphi @ Xx ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(quantDeMorgan1_type,type,
% 0.29/0.46 quantDeMorgan1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(quantDeMorgan1,definition,
% 0.29/0.46 ( quantDeMorgan1
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.29/0.46 ( ~ ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( Xphi @ Xx ) )
% 0.29/0.46 => ? [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(quantDeMorgan2_type,type,
% 0.29/0.46 quantDeMorgan2: $o ).
% 0.29/0.46
% 0.29/0.46 thf(quantDeMorgan2,definition,
% 0.29/0.46 ( quantDeMorgan2
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ~ ( Xphi @ Xx ) )
% 0.29/0.46 => ~ ? [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 & ( Xphi @ Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(quantDeMorgan3_type,type,
% 0.29/0.46 quantDeMorgan3: $o ).
% 0.29/0.46
% 0.29/0.46 thf(quantDeMorgan3,definition,
% 0.29/0.46 ( quantDeMorgan3
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.29/0.46 ( ~ ? [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 & ( Xphi @ Xx ) )
% 0.29/0.46 => ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(quantDeMorgan4_type,type,
% 0.29/0.46 quantDeMorgan4: $o ).
% 0.29/0.46
% 0.29/0.46 thf(quantDeMorgan4,definition,
% 0.29/0.46 ( quantDeMorgan4
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.29/0.46 ( ? [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 & ~ ( Xphi @ Xx ) )
% 0.29/0.46 => ~ ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( Xphi @ Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(prop2setI_type,type,
% 0.29/0.46 prop2setI: $o ).
% 0.29/0.46
% 0.29/0.46 thf(prop2setI,definition,
% 0.29/0.46 ( prop2setI
% 0.29/0.46 = ( ! [Xphi: $o] :
% 0.29/0.46 ( Xphi
% 0.29/0.46 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(set2prop_type,type,
% 0.29/0.46 set2prop: $i > $o ).
% 0.29/0.46
% 0.29/0.46 thf(prop2set2propI_type,type,
% 0.29/0.46 prop2set2propI: $o ).
% 0.29/0.46
% 0.29/0.46 thf(prop2set2propI,definition,
% 0.29/0.46 ( prop2set2propI
% 0.29/0.46 = ( ! [Xphi: $o] :
% 0.29/0.46 ( Xphi
% 0.29/0.46 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(notdexE_type,type,
% 0.29/0.46 notdexE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(notdexE,definition,
% 0.29/0.46 ( notdexE
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.29/0.46 ( ~ ? [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 & ( Xphi @ Xx ) )
% 0.29/0.46 => ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(notdallE_type,type,
% 0.29/0.46 notdallE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(notdallE,definition,
% 0.29/0.46 ( notdallE
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.29/0.46 ( ~ ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( Xphi @ Xx ) )
% 0.29/0.46 => ? [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(exuI1_type,type,
% 0.29/0.46 exuI1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(exuI1,definition,
% 0.29/0.46 ( exuI1
% 0.29/0.46 = ( ! [Xphi: $i > $o] :
% 0.29/0.46 ( ? [Xx: $i] :
% 0.29/0.46 ( ( Xphi @ Xx )
% 0.29/0.46 & ! [Xy: $i] :
% 0.29/0.46 ( ( Xphi @ Xy )
% 0.29/0.46 => ( Xx = Xy ) ) )
% 0.29/0.46 => ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(exuI3_type,type,
% 0.29/0.46 exuI3: $o ).
% 0.29/0.46
% 0.29/0.46 thf(exuI3,definition,
% 0.29/0.46 ( exuI3
% 0.29/0.46 = ( ! [Xphi: $i > $o] :
% 0.29/0.46 ( ? [Xx: $i] : ( Xphi @ Xx )
% 0.29/0.46 => ( ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xphi @ Xx )
% 0.29/0.46 => ( ( Xphi @ Xy )
% 0.29/0.46 => ( Xx = Xy ) ) )
% 0.29/0.46 => ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(exuI2_type,type,
% 0.29/0.46 exuI2: $o ).
% 0.29/0.46
% 0.29/0.46 thf(exuI2,definition,
% 0.29/0.46 ( exuI2
% 0.29/0.46 = ( ! [Xphi: $i > $o] :
% 0.29/0.46 ( ? [Xx: $i] :
% 0.29/0.46 ! [Xy: $i] :
% 0.29/0.46 ( ( Xphi @ Xy )
% 0.29/0.46 <=> ( Xy = Xx ) )
% 0.29/0.46 => ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(inCongP_type,type,
% 0.29/0.46 inCongP: $o ).
% 0.29/0.46
% 0.29/0.46 thf(inCongP,definition,
% 0.29/0.46 ( inCongP
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( A = B )
% 0.29/0.46 => ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xx = Xy )
% 0.29/0.46 => ( ( in @ Xx @ A )
% 0.29/0.46 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(in__Cong_type,type,
% 0.29/0.46 in__Cong: $o ).
% 0.29/0.46
% 0.29/0.46 thf(in__Cong,definition,
% 0.29/0.46 ( in__Cong
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( A = B )
% 0.29/0.46 => ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xx = Xy )
% 0.29/0.46 => ( ( in @ Xx @ A )
% 0.29/0.46 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(exuE3u_type,type,
% 0.29/0.46 exuE3u: $o ).
% 0.29/0.46
% 0.29/0.46 thf(exuE3u,definition,
% 0.29/0.46 ( exuE3u
% 0.29/0.46 = ( ! [Xphi: $i > $o] :
% 0.29/0.46 ( ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 => ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xphi @ Xx )
% 0.29/0.46 => ( ( Xphi @ Xy )
% 0.29/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(exu__Cong_type,type,
% 0.29/0.46 exu__Cong: $o ).
% 0.29/0.46
% 0.29/0.46 thf(exu__Cong,definition,
% 0.29/0.46 ( exu__Cong
% 0.29/0.46 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.29/0.46 ( ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xx = Xy )
% 0.29/0.46 => ( ( Xphi @ Xx )
% 0.29/0.46 <=> ( Xpsi @ Xy ) ) )
% 0.29/0.46 => ( ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 <=> ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptyset__Cong_type,type,
% 0.29/0.46 emptyset__Cong: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptyset__Cong,definition,
% 0.29/0.46 ( emptyset__Cong
% 0.29/0.46 = ( emptyset = emptyset ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoin__Cong_type,type,
% 0.29/0.46 setadjoin__Cong: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoin__Cong,definition,
% 0.29/0.46 ( setadjoin__Cong
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xx = Xy )
% 0.29/0.46 => ! [Xz: $i,Xu: $i] :
% 0.29/0.46 ( ( Xz = Xu )
% 0.29/0.46 => ( ( setadjoin @ Xx @ Xz )
% 0.29/0.46 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(powerset__Cong_type,type,
% 0.29/0.46 powerset__Cong: $o ).
% 0.29/0.46
% 0.29/0.46 thf(powerset__Cong,definition,
% 0.29/0.46 ( powerset__Cong
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( A = B )
% 0.29/0.46 => ( ( powerset @ A )
% 0.29/0.46 = ( powerset @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setunion__Cong_type,type,
% 0.29/0.46 setunion__Cong: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setunion__Cong,definition,
% 0.29/0.46 ( setunion__Cong
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( A = B )
% 0.29/0.46 => ( ( setunion @ A )
% 0.29/0.46 = ( setunion @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(omega__Cong_type,type,
% 0.29/0.46 omega__Cong: $o ).
% 0.29/0.46
% 0.29/0.46 thf(omega__Cong,definition,
% 0.29/0.46 ( omega__Cong
% 0.29/0.46 = ( omega = omega ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(exuEu_type,type,
% 0.29/0.46 exuEu: $o ).
% 0.29/0.46
% 0.29/0.46 thf(exuEu,definition,
% 0.29/0.46 ( exuEu
% 0.29/0.46 = ( ! [Xphi: $i > $o] :
% 0.29/0.46 ( ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 => ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xphi @ Xx )
% 0.29/0.46 => ( ( Xphi @ Xy )
% 0.29/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(descr__Cong_type,type,
% 0.29/0.46 descr__Cong: $o ).
% 0.29/0.46
% 0.29/0.46 thf(descr__Cong,definition,
% 0.29/0.46 ( descr__Cong
% 0.29/0.46 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.29/0.46 ( ! [Xx: $i,Xy: $i] :
% 0.29/0.46 ( ( Xx = Xy )
% 0.29/0.46 => ( ( Xphi @ Xx )
% 0.29/0.46 <=> ( Xpsi @ Xy ) ) )
% 0.29/0.46 => ( ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 => ( ( exu
% 0.29/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 0.29/0.46 => ( ( descr
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 = ( descr
% 0.29/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(dsetconstr__Cong_type,type,
% 0.29/0.46 dsetconstr__Cong: $o ).
% 0.29/0.46
% 0.29/0.46 thf(dsetconstr__Cong,definition,
% 0.29/0.46 ( dsetconstr__Cong
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( A = B )
% 0.29/0.46 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ! [Xy: $i] :
% 0.29/0.46 ( ( in @ Xy @ B )
% 0.29/0.46 => ( ( Xx = Xy )
% 0.29/0.46 => ( ( Xphi @ Xx )
% 0.29/0.46 <=> ( Xpsi @ Xy ) ) ) ) )
% 0.29/0.46 => ( ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 = ( dsetconstr @ B
% 0.29/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subset_type,type,
% 0.29/0.46 subset: $i > $i > $o ).
% 0.29/0.46
% 0.29/0.46 thf(disjoint_type,type,
% 0.29/0.46 disjoint: $i > $i > $o ).
% 0.29/0.46
% 0.29/0.46 thf(setsmeet_type,type,
% 0.29/0.46 setsmeet: $i > $i > $o ).
% 0.29/0.46
% 0.29/0.46 thf(subsetI1_type,type,
% 0.29/0.46 subsetI1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(subsetI1,definition,
% 0.29/0.46 ( subsetI1
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( in @ Xx @ B ) )
% 0.29/0.46 => ( subset @ A @ B ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(eqimpsubset2_type,type,
% 0.29/0.46 eqimpsubset2: $o ).
% 0.29/0.46
% 0.29/0.46 thf(eqimpsubset2,definition,
% 0.29/0.46 ( eqimpsubset2
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( A = B )
% 0.29/0.46 => ( subset @ B @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(eqimpsubset1_type,type,
% 0.29/0.46 eqimpsubset1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(eqimpsubset1,definition,
% 0.29/0.46 ( eqimpsubset1
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( A = B )
% 0.29/0.46 => ( subset @ A @ B ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subsetI2_type,type,
% 0.29/0.46 subsetI2: $o ).
% 0.29/0.46
% 0.29/0.46 thf(subsetI2,definition,
% 0.29/0.46 ( subsetI2
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ! [Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( in @ Xx @ B ) )
% 0.29/0.46 => ( subset @ A @ B ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(emptysetsubset_type,type,
% 0.29/0.46 emptysetsubset: $o ).
% 0.29/0.46
% 0.29/0.46 thf(emptysetsubset,definition,
% 0.29/0.46 ( emptysetsubset
% 0.29/0.46 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subsetE_type,type,
% 0.29/0.46 subsetE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(subsetE,definition,
% 0.29/0.46 ( subsetE
% 0.29/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.29/0.46 ( ( subset @ A @ B )
% 0.29/0.46 => ( ( in @ Xx @ A )
% 0.29/0.46 => ( in @ Xx @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subsetE2_type,type,
% 0.29/0.46 subsetE2: $o ).
% 0.29/0.46
% 0.29/0.46 thf(subsetE2,definition,
% 0.29/0.46 ( subsetE2
% 0.29/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.29/0.46 ( ( subset @ A @ B )
% 0.29/0.46 => ( ~ ( in @ Xx @ B )
% 0.29/0.46 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(notsubsetI_type,type,
% 0.29/0.46 notsubsetI: $o ).
% 0.29/0.46
% 0.29/0.46 thf(notsubsetI,definition,
% 0.29/0.46 ( notsubsetI
% 0.29/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( ~ ( in @ Xx @ B )
% 0.29/0.46 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(notequalI1_type,type,
% 0.29/0.46 notequalI1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(notequalI1,definition,
% 0.29/0.46 ( notequalI1
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ~ ( subset @ A @ B )
% 0.29/0.46 => ( A != B ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(notequalI2_type,type,
% 0.29/0.46 notequalI2: $o ).
% 0.29/0.46
% 0.29/0.46 thf(notequalI2,definition,
% 0.29/0.46 ( notequalI2
% 0.29/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( ~ ( in @ Xx @ B )
% 0.29/0.46 => ( A != B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subsetRefl_type,type,
% 0.29/0.46 subsetRefl: $o ).
% 0.29/0.46
% 0.29/0.46 thf(subsetRefl,definition,
% 0.29/0.46 ( subsetRefl
% 0.29/0.46 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subsetTrans_type,type,
% 0.29/0.46 subsetTrans: $o ).
% 0.29/0.46
% 0.29/0.46 thf(subsetTrans,definition,
% 0.29/0.46 ( subsetTrans
% 0.29/0.46 = ( ! [A: $i,B: $i,C: $i] :
% 0.29/0.46 ( ( subset @ A @ B )
% 0.29/0.46 => ( ( subset @ B @ C )
% 0.29/0.46 => ( subset @ A @ C ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinSub_type,type,
% 0.29/0.46 setadjoinSub: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinSub,definition,
% 0.29/0.46 ( setadjoinSub
% 0.29/0.46 = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinSub2_type,type,
% 0.29/0.46 setadjoinSub2: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setadjoinSub2,definition,
% 0.29/0.46 ( setadjoinSub2
% 0.29/0.46 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.29/0.46 ( ( subset @ A @ B )
% 0.29/0.46 => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subset2powerset_type,type,
% 0.29/0.46 subset2powerset: $o ).
% 0.29/0.46
% 0.29/0.46 thf(subset2powerset,definition,
% 0.29/0.46 ( subset2powerset
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( subset @ A @ B )
% 0.29/0.46 => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(setextsub_type,type,
% 0.29/0.46 setextsub: $o ).
% 0.29/0.46
% 0.29/0.46 thf(setextsub,definition,
% 0.29/0.46 ( setextsub
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( subset @ A @ B )
% 0.29/0.46 => ( ( subset @ B @ A )
% 0.29/0.46 => ( A = B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(subsetemptysetimpeq_type,type,
% 0.29/0.46 subsetemptysetimpeq: $o ).
% 0.29/0.46
% 0.29/0.46 thf(subsetemptysetimpeq,definition,
% 0.29/0.46 ( subsetemptysetimpeq
% 0.29/0.46 = ( ! [A: $i] :
% 0.29/0.46 ( ( subset @ A @ emptyset )
% 0.29/0.46 => ( A = emptyset ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(powersetI1_type,type,
% 0.29/0.46 powersetI1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(powersetI1,definition,
% 0.29/0.46 ( powersetI1
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( subset @ B @ A )
% 0.29/0.46 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(powersetE1_type,type,
% 0.29/0.46 powersetE1: $o ).
% 0.29/0.46
% 0.29/0.46 thf(powersetE1,definition,
% 0.29/0.46 ( powersetE1
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( in @ B @ ( powerset @ A ) )
% 0.29/0.46 => ( subset @ B @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(inPowerset_type,type,
% 0.29/0.46 inPowerset: $o ).
% 0.29/0.46
% 0.29/0.46 thf(inPowerset,definition,
% 0.29/0.46 ( inPowerset
% 0.29/0.46 = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(powersetsubset_type,type,
% 0.29/0.46 powersetsubset: $o ).
% 0.29/0.46
% 0.29/0.46 thf(powersetsubset,definition,
% 0.29/0.46 ( powersetsubset
% 0.29/0.46 = ( ! [A: $i,B: $i] :
% 0.29/0.46 ( ( subset @ A @ B )
% 0.29/0.46 => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(sepInPowerset_type,type,
% 0.29/0.46 sepInPowerset: $o ).
% 0.29/0.46
% 0.29/0.46 thf(sepInPowerset,definition,
% 0.29/0.46 ( sepInPowerset
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.29/0.46 ( in
% 0.29/0.46 @ ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 @ ( powerset @ A ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(sepSubset_type,type,
% 0.29/0.46 sepSubset: $o ).
% 0.29/0.46
% 0.29/0.46 thf(sepSubset,definition,
% 0.29/0.46 ( sepSubset
% 0.29/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.29/0.46 ( subset
% 0.29/0.46 @ ( dsetconstr @ A
% 0.29/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.29/0.46 @ A ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(binunion_type,type,
% 0.29/0.46 binunion: $i > $i > $i ).
% 0.29/0.46
% 0.29/0.46 thf(binunionIL_type,type,
% 0.29/0.46 binunionIL: $o ).
% 0.29/0.46
% 0.29/0.46 thf(binunionIL,definition,
% 0.29/0.46 ( binunionIL
% 0.29/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ A )
% 0.29/0.46 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(upairset2IR_type,type,
% 0.29/0.46 upairset2IR: $o ).
% 0.29/0.46
% 0.29/0.46 thf(upairset2IR,definition,
% 0.29/0.46 ( upairset2IR
% 0.29/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(binunionIR_type,type,
% 0.29/0.46 binunionIR: $o ).
% 0.29/0.46
% 0.29/0.46 thf(binunionIR,definition,
% 0.29/0.46 ( binunionIR
% 0.29/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ B )
% 0.29/0.46 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(binunionEcases_type,type,
% 0.29/0.46 binunionEcases: $o ).
% 0.29/0.46
% 0.29/0.46 thf(binunionEcases,definition,
% 0.29/0.46 ( binunionEcases
% 0.29/0.46 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 0.29/0.46 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.29/0.46 => ( ( ( in @ Xx @ A )
% 0.29/0.46 => Xphi )
% 0.29/0.46 => ( ( ( in @ Xx @ B )
% 0.29/0.46 => Xphi )
% 0.29/0.46 => Xphi ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(binunionE_type,type,
% 0.29/0.46 binunionE: $o ).
% 0.29/0.46
% 0.29/0.46 thf(binunionE,definition,
% 0.29/0.46 ( binunionE
% 0.29/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.29/0.46 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.29/0.46 => ( ( in @ Xx @ A )
% 0.29/0.46 | ( in @ Xx @ B ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(binunionLsub_type,type,
% 0.29/0.46 binunionLsub: $o ).
% 0.29/0.46
% 0.29/0.46 thf(binunionLsub,definition,
% 0.29/0.46 ( binunionLsub
% 0.29/0.46 = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 thf(binunionRsub,conjecture,
% 0.29/0.46 ( setextAx
% 0.29/0.46 => ( emptysetAx
% 0.29/0.46 => ( setadjoinAx
% 0.29/0.46 => ( powersetAx
% 0.29/0.46 => ( setunionAx
% 0.29/0.46 => ( omega0Ax
% 0.29/0.46 => ( omegaSAx
% 0.29/0.46 => ( omegaIndAx
% 0.29/0.46 => ( replAx
% 0.29/0.46 => ( foundationAx
% 0.29/0.46 => ( wellorderingAx
% 0.29/0.46 => ( descrp
% 0.29/0.46 => ( dsetconstrI
% 0.29/0.46 => ( dsetconstrEL
% 0.29/0.46 => ( dsetconstrER
% 0.29/0.46 => ( exuE1
% 0.29/0.46 => ( prop2setE
% 0.29/0.46 => ( emptysetE
% 0.29/0.46 => ( emptysetimpfalse
% 0.29/0.46 => ( notinemptyset
% 0.29/0.46 => ( exuE3e
% 0.29/0.46 => ( setext
% 0.29/0.46 => ( emptyI
% 0.29/0.46 => ( noeltsimpempty
% 0.29/0.46 => ( setbeta
% 0.29/0.46 => ( nonemptyE1
% 0.29/0.46 => ( nonemptyI
% 0.29/0.46 => ( nonemptyI1
% 0.29/0.46 => ( setadjoinIL
% 0.29/0.46 => ( emptyinunitempty
% 0.29/0.46 => ( setadjoinIR
% 0.29/0.46 => ( setadjoinE
% 0.29/0.46 => ( setadjoinOr
% 0.29/0.46 => ( setoftrueEq
% 0.29/0.46 => ( powersetI
% 0.29/0.46 => ( emptyinPowerset
% 0.29/0.46 => ( emptyInPowerset
% 0.29/0.46 => ( powersetE
% 0.29/0.46 => ( setunionI
% 0.29/0.46 => ( setunionE
% 0.29/0.46 => ( subPowSU
% 0.29/0.46 => ( exuE2
% 0.29/0.46 => ( nonemptyImpWitness
% 0.29/0.46 => ( uniqinunit
% 0.29/0.46 => ( notinsingleton
% 0.29/0.46 => ( eqinunit
% 0.29/0.46 => ( singletonsswitch
% 0.29/0.46 => ( upairsetE
% 0.29/0.46 => ( upairsetIL
% 0.29/0.46 => ( upairsetIR
% 0.29/0.46 => ( emptyE1
% 0.29/0.46 => ( vacuousDall
% 0.29/0.46 => ( quantDeMorgan1
% 0.29/0.46 => ( quantDeMorgan2
% 0.29/0.46 => ( quantDeMorgan3
% 0.29/0.46 => ( quantDeMorgan4
% 0.29/0.46 => ( prop2setI
% 0.29/0.46 => ( prop2set2propI
% 0.29/0.46 => ( notdexE
% 0.29/0.46 => ( notdallE
% 0.29/0.46 => ( exuI1
% 0.29/0.46 => ( exuI3
% 0.29/0.46 => ( exuI2
% 0.29/0.46 => ( inCongP
% 0.29/0.46 => ( in__Cong
% 0.29/0.46 => ( exuE3u
% 0.29/0.46 => ( exu__Cong
% 0.29/0.46 => ( emptyset__Cong
% 0.29/0.46 => ( setadjoin__Cong
% 0.29/0.46 => ( powerset__Cong
% 0.29/0.46 => ( setunion__Cong
% 0.29/0.46 => ( omega__Cong
% 0.29/0.46 => ( exuEu
% 0.29/0.46 => ( descr__Cong
% 0.29/0.46 => ( dsetconstr__Cong
% 0.29/0.46 => ( subsetI1
% 0.29/0.46 => ( eqimpsubset2
% 0.29/0.46 => ( eqimpsubset1
% 0.29/0.46 => ( subsetI2
% 0.29/0.46 => ( emptysetsubset
% 0.29/0.46 => ( subsetE
% 0.29/0.46 => ( subsetE2
% 0.29/0.46 => ( notsubsetI
% 0.29/0.46 => ( notequalI1
% 0.29/0.46 => ( notequalI2
% 0.29/0.46 => ( subsetRefl
% 0.29/0.46 => ( subsetTrans
% 0.29/0.46 => ( setadjoinSub
% 0.29/0.46 => ( setadjoinSub2
% 0.29/0.46 => ( subset2powerset
% 0.29/0.46 => ( setextsub
% 0.29/0.46 => ( subsetemptysetimpeq
% 0.29/0.46 => ( powersetI1
% 0.29/0.46 => ( powersetE1
% 0.29/0.46 => ( inPowerset
% 0.29/0.46 => ( powersetsubset
% 0.29/0.46 => ( sepInPowerset
% 0.29/0.46 => ( sepSubset
% 0.29/0.46 => ( binunionIL
% 0.29/0.46 => ( upairset2IR
% 0.29/0.46 => ( binunionIR
% 0.29/0.46 => ( binunionEcases
% 0.29/0.46 => ( binunionE
% 0.29/0.46 => ( binunionLsub
% 0.29/0.46 => ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 ------------------------
% 2.40/1.41 ---- Embedded in THF ---
% 2.40/1.41 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.40/1.41 %%% Generated on Tue Feb 24 12:28:34 EST 2026
% 2.40/1.41 %%% using '$$dhol' embedding, version 1.3.0.
% 2.40/1.41 %%% Logic specification used:
% 2.40/1.41 %%% thf(spec, logic, $$dhol).
% 2.40/1.41
% 2.40/1.41 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.BYhxQTwj8h/DTF2DTF8951.p
% See solution above
% 2.40/1.41 ------------------------
% 2.40/1.43 ---- Cleaned THF ---
% 2.40/1.43 thf(in_type,type,
% 2.40/1.43 in: $i > $i > $o ).
% 2.40/1.43
% 2.40/1.43 thf(exu_type,type,
% 2.40/1.43 exu: ( $i > $o ) > $o ).
% 2.40/1.43
% 2.40/1.43 thf(exu,definition,
% 2.40/1.43 ( exu
% 2.40/1.43 = ( ^ [Xphi: $i > $o] :
% 2.40/1.43 ? [Xx: $i] :
% 2.40/1.43 ( ( Xphi @ Xx )
% 2.40/1.43 & ! [Xy: $i] :
% 2.40/1.43 ( ( Xphi @ Xy )
% 2.40/1.43 => ( Xx = Xy ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setextAx_type,type,
% 2.40/1.43 setextAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setextAx,definition,
% 2.40/1.43 ( setextAx
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 <=> ( in @ Xx @ B ) )
% 2.40/1.43 => ( A = B ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptyset_type,type,
% 2.40/1.43 emptyset: $i ).
% 2.40/1.43
% 2.40/1.43 thf(emptysetAx_type,type,
% 2.40/1.43 emptysetAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptysetAx,definition,
% 2.40/1.43 ( emptysetAx
% 2.40/1.43 = ( ! [Xx: $i] :
% 2.40/1.43 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoin_type,type,
% 2.40/1.43 setadjoin: $i > $i > $i ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinAx_type,type,
% 2.40/1.43 setadjoinAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinAx,definition,
% 2.40/1.43 ( setadjoinAx
% 2.40/1.43 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.40/1.43 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.40/1.43 <=> ( ( Xy = Xx )
% 2.40/1.43 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(powerset_type,type,
% 2.40/1.43 powerset: $i > $i ).
% 2.40/1.43
% 2.40/1.43 thf(powersetAx_type,type,
% 2.40/1.43 powersetAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(powersetAx,definition,
% 2.40/1.43 ( powersetAx
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( in @ B @ ( powerset @ A ) )
% 2.40/1.43 <=> ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ B )
% 2.40/1.43 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setunion_type,type,
% 2.40/1.43 setunion: $i > $i ).
% 2.40/1.43
% 2.40/1.43 thf(setunionAx_type,type,
% 2.40/1.43 setunionAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setunionAx,definition,
% 2.40/1.43 ( setunionAx
% 2.40/1.43 = ( ! [A: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ ( setunion @ A ) )
% 2.40/1.43 <=> ? [B: $i] :
% 2.40/1.43 ( ( in @ Xx @ B )
% 2.40/1.43 & ( in @ B @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(omega_type,type,
% 2.40/1.43 omega: $i ).
% 2.40/1.43
% 2.40/1.43 thf(omega0Ax_type,type,
% 2.40/1.43 omega0Ax: $o ).
% 2.40/1.43
% 2.40/1.43 thf(omega0Ax,definition,
% 2.40/1.43 ( omega0Ax
% 2.40/1.43 = ( in @ emptyset @ omega ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(omegaSAx_type,type,
% 2.40/1.43 omegaSAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(omegaSAx,definition,
% 2.40/1.43 ( omegaSAx
% 2.40/1.43 = ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ omega )
% 2.40/1.43 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(omegaIndAx_type,type,
% 2.40/1.43 omegaIndAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(omegaIndAx,definition,
% 2.40/1.43 ( omegaIndAx
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ( ( ( in @ emptyset @ A )
% 2.40/1.43 & ! [Xx: $i] :
% 2.40/1.43 ( ( ( in @ Xx @ omega )
% 2.40/1.43 & ( in @ Xx @ A ) )
% 2.40/1.43 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 2.40/1.43 => ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ omega )
% 2.40/1.43 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(replAx_type,type,
% 2.40/1.43 replAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(replAx,definition,
% 2.40/1.43 ( replAx
% 2.40/1.43 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( exu
% 2.40/1.43 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 2.40/1.43 => ? [B: $i] :
% 2.40/1.43 ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ B )
% 2.40/1.43 <=> ? [Xy: $i] :
% 2.40/1.43 ( ( in @ Xy @ A )
% 2.40/1.43 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(foundationAx_type,type,
% 2.40/1.43 foundationAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(foundationAx,definition,
% 2.40/1.43 ( foundationAx
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.40/1.43 => ? [B: $i] :
% 2.40/1.43 ( ( in @ B @ A )
% 2.40/1.43 & ~ ? [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ B )
% 2.40/1.43 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(wellorderingAx_type,type,
% 2.40/1.43 wellorderingAx: $o ).
% 2.40/1.43
% 2.40/1.43 thf(wellorderingAx,definition,
% 2.40/1.43 ( wellorderingAx
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ? [B: $i] :
% 2.40/1.43 ( ! [C: $i] :
% 2.40/1.43 ( ( in @ C @ B )
% 2.40/1.43 => ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ C )
% 2.40/1.43 => ( in @ Xx @ A ) ) )
% 2.40/1.43 & ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( ( in @ Xx @ A )
% 2.40/1.43 & ( in @ Xy @ A ) )
% 2.40/1.43 => ( ! [C: $i] :
% 2.40/1.43 ( ( in @ C @ B )
% 2.40/1.43 => ( ( in @ Xx @ C )
% 2.40/1.43 <=> ( in @ Xy @ C ) ) )
% 2.40/1.43 => ( Xx = Xy ) ) )
% 2.40/1.43 & ! [C: $i,D: $i] :
% 2.40/1.43 ( ( ( in @ C @ B )
% 2.40/1.43 & ( in @ D @ B ) )
% 2.40/1.43 => ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ C )
% 2.40/1.43 => ( in @ Xx @ D ) )
% 2.40/1.43 | ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ D )
% 2.40/1.43 => ( in @ Xx @ C ) ) ) )
% 2.40/1.43 & ! [C: $i] :
% 2.40/1.43 ( ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ C )
% 2.40/1.43 => ( in @ Xx @ A ) )
% 2.40/1.43 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 2.40/1.43 => ? [D: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ D @ B )
% 2.40/1.43 & ( in @ Xx @ C )
% 2.40/1.43 & ~ ? [Xy: $i] :
% 2.40/1.43 ( ( in @ Xy @ D )
% 2.40/1.43 & ( in @ Xy @ C ) )
% 2.40/1.43 & ! [E: $i] :
% 2.40/1.43 ( ( in @ E @ B )
% 2.40/1.43 => ( ! [Xy: $i] :
% 2.40/1.43 ( ( in @ Xy @ E )
% 2.40/1.43 => ( in @ Xy @ D ) )
% 2.40/1.43 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(descr_type,type,
% 2.40/1.43 descr: ( $i > $o ) > $i ).
% 2.40/1.43
% 2.40/1.43 thf(descrp_type,type,
% 2.40/1.43 descrp: $o ).
% 2.40/1.43
% 2.40/1.43 thf(descrp,definition,
% 2.40/1.43 ( descrp
% 2.40/1.43 = ( ! [Xphi: $i > $o] :
% 2.40/1.43 ( ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 => ( Xphi
% 2.40/1.43 @ ( descr
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(dsetconstr_type,type,
% 2.40/1.43 dsetconstr: $i > ( $i > $o ) > $i ).
% 2.40/1.43
% 2.40/1.43 thf(dsetconstrI_type,type,
% 2.40/1.43 dsetconstrI: $o ).
% 2.40/1.43
% 2.40/1.43 thf(dsetconstrI,definition,
% 2.40/1.43 ( dsetconstrI
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( ( Xphi @ Xx )
% 2.40/1.43 => ( in @ Xx
% 2.40/1.43 @ ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(dsetconstrEL_type,type,
% 2.40/1.43 dsetconstrEL: $o ).
% 2.40/1.43
% 2.40/1.43 thf(dsetconstrEL,definition,
% 2.40/1.43 ( dsetconstrEL
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx
% 2.40/1.43 @ ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.40/1.43 => ( in @ Xx @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(dsetconstrER_type,type,
% 2.40/1.43 dsetconstrER: $o ).
% 2.40/1.43
% 2.40/1.43 thf(dsetconstrER,definition,
% 2.40/1.43 ( dsetconstrER
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx
% 2.40/1.43 @ ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.40/1.43 => ( Xphi @ Xx ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(exuE1_type,type,
% 2.40/1.43 exuE1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(exuE1,definition,
% 2.40/1.43 ( exuE1
% 2.40/1.43 = ( ! [Xphi: $i > $o] :
% 2.40/1.43 ( ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 => ? [Xx: $i] :
% 2.40/1.43 ( ( Xphi @ Xx )
% 2.40/1.43 & ! [Xy: $i] :
% 2.40/1.43 ( ( Xphi @ Xy )
% 2.40/1.43 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(prop2set_type,type,
% 2.40/1.43 prop2set: $o > $i ).
% 2.40/1.43
% 2.40/1.43 thf(prop2setE_type,type,
% 2.40/1.43 prop2setE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(prop2setE,definition,
% 2.40/1.43 ( prop2setE
% 2.40/1.43 = ( ! [Xphi: $o,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 2.40/1.43 => Xphi ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptysetE_type,type,
% 2.40/1.43 emptysetE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptysetE,definition,
% 2.40/1.43 ( emptysetE
% 2.40/1.43 = ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ emptyset )
% 2.40/1.43 => ! [Xphi: $o] : Xphi ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptysetimpfalse_type,type,
% 2.40/1.43 emptysetimpfalse: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptysetimpfalse,definition,
% 2.40/1.43 ( emptysetimpfalse
% 2.40/1.43 = ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ emptyset )
% 2.40/1.43 => $false ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(notinemptyset_type,type,
% 2.40/1.43 notinemptyset: $o ).
% 2.40/1.43
% 2.40/1.43 thf(notinemptyset,definition,
% 2.40/1.43 ( notinemptyset
% 2.40/1.43 = ( ! [Xx: $i] :
% 2.40/1.43 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(exuE3e_type,type,
% 2.40/1.43 exuE3e: $o ).
% 2.40/1.43
% 2.40/1.43 thf(exuE3e,definition,
% 2.40/1.43 ( exuE3e
% 2.40/1.43 = ( ! [Xphi: $i > $o] :
% 2.40/1.43 ( ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setext_type,type,
% 2.40/1.43 setext: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setext,definition,
% 2.40/1.43 ( setext
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( in @ Xx @ B ) )
% 2.40/1.43 => ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ B )
% 2.40/1.43 => ( in @ Xx @ A ) )
% 2.40/1.43 => ( A = B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptyI_type,type,
% 2.40/1.43 emptyI: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptyI,definition,
% 2.40/1.43 ( emptyI
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ~ ( in @ Xx @ A )
% 2.40/1.43 => ( A = emptyset ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(noeltsimpempty_type,type,
% 2.40/1.43 noeltsimpempty: $o ).
% 2.40/1.43
% 2.40/1.43 thf(noeltsimpempty,definition,
% 2.40/1.43 ( noeltsimpempty
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ~ ( in @ Xx @ A )
% 2.40/1.43 => ( A = emptyset ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setbeta_type,type,
% 2.40/1.43 setbeta: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setbeta,definition,
% 2.40/1.43 ( setbeta
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( ( in @ Xx
% 2.40/1.43 @ ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.40/1.43 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(nonempty_type,type,
% 2.40/1.43 nonempty: $i > $o ).
% 2.40/1.43
% 2.40/1.43 thf(nonempty,definition,
% 2.40/1.43 ( nonempty
% 2.40/1.43 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(nonemptyE1_type,type,
% 2.40/1.43 nonemptyE1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(nonemptyE1,definition,
% 2.40/1.43 ( nonemptyE1
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ( ( nonempty @ A )
% 2.40/1.43 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(nonemptyI_type,type,
% 2.40/1.43 nonemptyI: $o ).
% 2.40/1.43
% 2.40/1.43 thf(nonemptyI,definition,
% 2.40/1.43 ( nonemptyI
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( ( Xphi @ Xx )
% 2.40/1.43 => ( nonempty
% 2.40/1.43 @ ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(nonemptyI1_type,type,
% 2.40/1.43 nonemptyI1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(nonemptyI1,definition,
% 2.40/1.43 ( nonemptyI1
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.40/1.43 => ( nonempty @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinIL_type,type,
% 2.40/1.43 setadjoinIL: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinIL,definition,
% 2.40/1.43 ( setadjoinIL
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptyinunitempty_type,type,
% 2.40/1.43 emptyinunitempty: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptyinunitempty,definition,
% 2.40/1.43 ( emptyinunitempty
% 2.40/1.43 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinIR_type,type,
% 2.40/1.43 setadjoinIR: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinIR,definition,
% 2.40/1.43 ( setadjoinIR
% 2.40/1.43 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.40/1.43 ( ( in @ Xy @ A )
% 2.40/1.43 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinE_type,type,
% 2.40/1.43 setadjoinE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinE,definition,
% 2.40/1.43 ( setadjoinE
% 2.40/1.43 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.40/1.43 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.40/1.43 => ! [Xphi: $o] :
% 2.40/1.43 ( ( ( Xy = Xx )
% 2.40/1.43 => Xphi )
% 2.40/1.43 => ( ( ( in @ Xy @ A )
% 2.40/1.43 => Xphi )
% 2.40/1.43 => Xphi ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinOr_type,type,
% 2.40/1.43 setadjoinOr: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinOr,definition,
% 2.40/1.43 ( setadjoinOr
% 2.40/1.43 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.40/1.43 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.40/1.43 => ( ( Xy = Xx )
% 2.40/1.43 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setoftrueEq_type,type,
% 2.40/1.43 setoftrueEq: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setoftrueEq,definition,
% 2.40/1.43 ( setoftrueEq
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ( ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xx: $i] : $true )
% 2.40/1.43 = A ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(powersetI_type,type,
% 2.40/1.43 powersetI: $o ).
% 2.40/1.43
% 2.40/1.43 thf(powersetI,definition,
% 2.40/1.43 ( powersetI
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ B )
% 2.40/1.43 => ( in @ Xx @ A ) )
% 2.40/1.43 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptyinPowerset_type,type,
% 2.40/1.43 emptyinPowerset: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptyinPowerset,definition,
% 2.40/1.43 ( emptyinPowerset
% 2.40/1.43 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptyInPowerset_type,type,
% 2.40/1.43 emptyInPowerset: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptyInPowerset,definition,
% 2.40/1.43 ( emptyInPowerset
% 2.40/1.43 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(powersetE_type,type,
% 2.40/1.43 powersetE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(powersetE,definition,
% 2.40/1.43 ( powersetE
% 2.40/1.43 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ B @ ( powerset @ A ) )
% 2.40/1.43 => ( ( in @ Xx @ B )
% 2.40/1.43 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setunionI_type,type,
% 2.40/1.43 setunionI: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setunionI,definition,
% 2.40/1.43 ( setunionI
% 2.40/1.43 = ( ! [A: $i,Xx: $i,B: $i] :
% 2.40/1.43 ( ( in @ Xx @ B )
% 2.40/1.43 => ( ( in @ B @ A )
% 2.40/1.43 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setunionE_type,type,
% 2.40/1.43 setunionE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setunionE,definition,
% 2.40/1.43 ( setunionE
% 2.40/1.43 = ( ! [A: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ ( setunion @ A ) )
% 2.40/1.43 => ! [Xphi: $o] :
% 2.40/1.43 ( ! [B: $i] :
% 2.40/1.43 ( ( in @ Xx @ B )
% 2.40/1.43 => ( ( in @ B @ A )
% 2.40/1.43 => Xphi ) )
% 2.40/1.43 => Xphi ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(subPowSU_type,type,
% 2.40/1.43 subPowSU: $o ).
% 2.40/1.43
% 2.40/1.43 thf(subPowSU,definition,
% 2.40/1.43 ( subPowSU
% 2.40/1.43 = ( ! [A: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(exuE2_type,type,
% 2.40/1.43 exuE2: $o ).
% 2.40/1.43
% 2.40/1.43 thf(exuE2,definition,
% 2.40/1.43 ( exuE2
% 2.40/1.43 = ( ! [Xphi: $i > $o] :
% 2.40/1.43 ( ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 => ? [Xx: $i] :
% 2.40/1.43 ! [Xy: $i] :
% 2.40/1.43 ( ( Xphi @ Xy )
% 2.40/1.43 <=> ( Xy = Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(nonemptyImpWitness_type,type,
% 2.40/1.43 nonemptyImpWitness: $o ).
% 2.40/1.43
% 2.40/1.43 thf(nonemptyImpWitness,definition,
% 2.40/1.43 ( nonemptyImpWitness
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ( ( nonempty @ A )
% 2.40/1.43 => ? [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 & $true ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(uniqinunit_type,type,
% 2.40/1.43 uniqinunit: $o ).
% 2.40/1.43
% 2.40/1.43 thf(uniqinunit,definition,
% 2.40/1.43 ( uniqinunit
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.40/1.43 => ( Xx = Xy ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(notinsingleton_type,type,
% 2.40/1.43 notinsingleton: $o ).
% 2.40/1.43
% 2.40/1.43 thf(notinsingleton,definition,
% 2.40/1.43 ( notinsingleton
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xx != Xy )
% 2.40/1.43 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(eqinunit_type,type,
% 2.40/1.43 eqinunit: $o ).
% 2.40/1.43
% 2.40/1.43 thf(eqinunit,definition,
% 2.40/1.43 ( eqinunit
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xx = Xy )
% 2.40/1.43 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(singletonsswitch_type,type,
% 2.40/1.43 singletonsswitch: $o ).
% 2.40/1.43
% 2.40/1.43 thf(singletonsswitch,definition,
% 2.40/1.43 ( singletonsswitch
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.40/1.43 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(upairsetE_type,type,
% 2.40/1.43 upairsetE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(upairsetE,definition,
% 2.40/1.43 ( upairsetE
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.40/1.43 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 2.40/1.43 => ( ( Xz = Xx )
% 2.40/1.43 | ( Xz = Xy ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(upairsetIL_type,type,
% 2.40/1.43 upairsetIL: $o ).
% 2.40/1.43
% 2.40/1.43 thf(upairsetIL,definition,
% 2.40/1.43 ( upairsetIL
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(upairsetIR_type,type,
% 2.40/1.43 upairsetIR: $o ).
% 2.40/1.43
% 2.40/1.43 thf(upairsetIR,definition,
% 2.40/1.43 ( upairsetIR
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptyE1_type,type,
% 2.40/1.43 emptyE1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptyE1,definition,
% 2.40/1.43 ( emptyE1
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o] :
% 2.40/1.43 ( ? [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 & ( Xphi @ Xx ) )
% 2.40/1.43 => ( ( ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 = emptyset )
% 2.40/1.43 => $false ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(vacuousDall_type,type,
% 2.40/1.43 vacuousDall: $o ).
% 2.40/1.43
% 2.40/1.43 thf(vacuousDall,definition,
% 2.40/1.43 ( vacuousDall
% 2.40/1.43 = ( ! [Xphi: $i > $o,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ emptyset )
% 2.40/1.43 => ( Xphi @ Xx ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(quantDeMorgan1_type,type,
% 2.40/1.43 quantDeMorgan1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(quantDeMorgan1,definition,
% 2.40/1.43 ( quantDeMorgan1
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o] :
% 2.40/1.43 ( ~ ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( Xphi @ Xx ) )
% 2.40/1.43 => ? [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(quantDeMorgan2_type,type,
% 2.40/1.43 quantDeMorgan2: $o ).
% 2.40/1.43
% 2.40/1.43 thf(quantDeMorgan2,definition,
% 2.40/1.43 ( quantDeMorgan2
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ~ ( Xphi @ Xx ) )
% 2.40/1.43 => ~ ? [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 & ( Xphi @ Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(quantDeMorgan3_type,type,
% 2.40/1.43 quantDeMorgan3: $o ).
% 2.40/1.43
% 2.40/1.43 thf(quantDeMorgan3,definition,
% 2.40/1.43 ( quantDeMorgan3
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o] :
% 2.40/1.43 ( ~ ? [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 & ( Xphi @ Xx ) )
% 2.40/1.43 => ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(quantDeMorgan4_type,type,
% 2.40/1.43 quantDeMorgan4: $o ).
% 2.40/1.43
% 2.40/1.43 thf(quantDeMorgan4,definition,
% 2.40/1.43 ( quantDeMorgan4
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o] :
% 2.40/1.43 ( ? [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 & ~ ( Xphi @ Xx ) )
% 2.40/1.43 => ~ ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( Xphi @ Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(prop2setI_type,type,
% 2.40/1.43 prop2setI: $o ).
% 2.40/1.43
% 2.40/1.43 thf(prop2setI,definition,
% 2.40/1.43 ( prop2setI
% 2.40/1.43 = ( ! [Xphi: $o] :
% 2.40/1.43 ( Xphi
% 2.40/1.43 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(set2prop_type,type,
% 2.40/1.43 set2prop: $i > $o ).
% 2.40/1.43
% 2.40/1.43 thf(prop2set2propI_type,type,
% 2.40/1.43 prop2set2propI: $o ).
% 2.40/1.43
% 2.40/1.43 thf(prop2set2propI,definition,
% 2.40/1.43 ( prop2set2propI
% 2.40/1.43 = ( ! [Xphi: $o] :
% 2.40/1.43 ( Xphi
% 2.40/1.43 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(notdexE_type,type,
% 2.40/1.43 notdexE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(notdexE,definition,
% 2.40/1.43 ( notdexE
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o] :
% 2.40/1.43 ( ~ ? [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 & ( Xphi @ Xx ) )
% 2.40/1.43 => ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(notdallE_type,type,
% 2.40/1.43 notdallE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(notdallE,definition,
% 2.40/1.43 ( notdallE
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o] :
% 2.40/1.43 ( ~ ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( Xphi @ Xx ) )
% 2.40/1.43 => ? [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(exuI1_type,type,
% 2.40/1.43 exuI1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(exuI1,definition,
% 2.40/1.43 ( exuI1
% 2.40/1.43 = ( ! [Xphi: $i > $o] :
% 2.40/1.43 ( ? [Xx: $i] :
% 2.40/1.43 ( ( Xphi @ Xx )
% 2.40/1.43 & ! [Xy: $i] :
% 2.40/1.43 ( ( Xphi @ Xy )
% 2.40/1.43 => ( Xx = Xy ) ) )
% 2.40/1.43 => ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(exuI3_type,type,
% 2.40/1.43 exuI3: $o ).
% 2.40/1.43
% 2.40/1.43 thf(exuI3,definition,
% 2.40/1.43 ( exuI3
% 2.40/1.43 = ( ! [Xphi: $i > $o] :
% 2.40/1.43 ( ? [Xx: $i] : ( Xphi @ Xx )
% 2.40/1.43 => ( ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xphi @ Xx )
% 2.40/1.43 => ( ( Xphi @ Xy )
% 2.40/1.43 => ( Xx = Xy ) ) )
% 2.40/1.43 => ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(exuI2_type,type,
% 2.40/1.43 exuI2: $o ).
% 2.40/1.43
% 2.40/1.43 thf(exuI2,definition,
% 2.40/1.43 ( exuI2
% 2.40/1.43 = ( ! [Xphi: $i > $o] :
% 2.40/1.43 ( ? [Xx: $i] :
% 2.40/1.43 ! [Xy: $i] :
% 2.40/1.43 ( ( Xphi @ Xy )
% 2.40/1.43 <=> ( Xy = Xx ) )
% 2.40/1.43 => ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(inCongP_type,type,
% 2.40/1.43 inCongP: $o ).
% 2.40/1.43
% 2.40/1.43 thf(inCongP,definition,
% 2.40/1.43 ( inCongP
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( A = B )
% 2.40/1.43 => ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xx = Xy )
% 2.40/1.43 => ( ( in @ Xx @ A )
% 2.40/1.43 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(in__Cong_type,type,
% 2.40/1.43 in__Cong: $o ).
% 2.40/1.43
% 2.40/1.43 thf(in__Cong,definition,
% 2.40/1.43 ( in__Cong
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( A = B )
% 2.40/1.43 => ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xx = Xy )
% 2.40/1.43 => ( ( in @ Xx @ A )
% 2.40/1.43 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(exuE3u_type,type,
% 2.40/1.43 exuE3u: $o ).
% 2.40/1.43
% 2.40/1.43 thf(exuE3u,definition,
% 2.40/1.43 ( exuE3u
% 2.40/1.43 = ( ! [Xphi: $i > $o] :
% 2.40/1.43 ( ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 => ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xphi @ Xx )
% 2.40/1.43 => ( ( Xphi @ Xy )
% 2.40/1.43 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(exu__Cong_type,type,
% 2.40/1.43 exu__Cong: $o ).
% 2.40/1.43
% 2.40/1.43 thf(exu__Cong,definition,
% 2.40/1.43 ( exu__Cong
% 2.40/1.43 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.40/1.43 ( ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xx = Xy )
% 2.40/1.43 => ( ( Xphi @ Xx )
% 2.40/1.43 <=> ( Xpsi @ Xy ) ) )
% 2.40/1.43 => ( ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 <=> ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptyset__Cong_type,type,
% 2.40/1.43 emptyset__Cong: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptyset__Cong,definition,
% 2.40/1.43 ( emptyset__Cong
% 2.40/1.43 = ( emptyset = emptyset ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoin__Cong_type,type,
% 2.40/1.43 setadjoin__Cong: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoin__Cong,definition,
% 2.40/1.43 ( setadjoin__Cong
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xx = Xy )
% 2.40/1.43 => ! [Xz: $i,Xu: $i] :
% 2.40/1.43 ( ( Xz = Xu )
% 2.40/1.43 => ( ( setadjoin @ Xx @ Xz )
% 2.40/1.43 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(powerset__Cong_type,type,
% 2.40/1.43 powerset__Cong: $o ).
% 2.40/1.43
% 2.40/1.43 thf(powerset__Cong,definition,
% 2.40/1.43 ( powerset__Cong
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( A = B )
% 2.40/1.43 => ( ( powerset @ A )
% 2.40/1.43 = ( powerset @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setunion__Cong_type,type,
% 2.40/1.43 setunion__Cong: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setunion__Cong,definition,
% 2.40/1.43 ( setunion__Cong
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( A = B )
% 2.40/1.43 => ( ( setunion @ A )
% 2.40/1.43 = ( setunion @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(omega__Cong_type,type,
% 2.40/1.43 omega__Cong: $o ).
% 2.40/1.43
% 2.40/1.43 thf(omega__Cong,definition,
% 2.40/1.43 ( omega__Cong
% 2.40/1.43 = ( omega = omega ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(exuEu_type,type,
% 2.40/1.43 exuEu: $o ).
% 2.40/1.43
% 2.40/1.43 thf(exuEu,definition,
% 2.40/1.43 ( exuEu
% 2.40/1.43 = ( ! [Xphi: $i > $o] :
% 2.40/1.43 ( ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 => ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xphi @ Xx )
% 2.40/1.43 => ( ( Xphi @ Xy )
% 2.40/1.43 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(descr__Cong_type,type,
% 2.40/1.43 descr__Cong: $o ).
% 2.40/1.43
% 2.40/1.43 thf(descr__Cong,definition,
% 2.40/1.43 ( descr__Cong
% 2.40/1.43 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.40/1.43 ( ! [Xx: $i,Xy: $i] :
% 2.40/1.43 ( ( Xx = Xy )
% 2.40/1.43 => ( ( Xphi @ Xx )
% 2.40/1.43 <=> ( Xpsi @ Xy ) ) )
% 2.40/1.43 => ( ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 => ( ( exu
% 2.40/1.43 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 2.40/1.43 => ( ( descr
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 = ( descr
% 2.40/1.43 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(dsetconstr__Cong_type,type,
% 2.40/1.43 dsetconstr__Cong: $o ).
% 2.40/1.43
% 2.40/1.43 thf(dsetconstr__Cong,definition,
% 2.40/1.43 ( dsetconstr__Cong
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( A = B )
% 2.40/1.43 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ! [Xy: $i] :
% 2.40/1.43 ( ( in @ Xy @ B )
% 2.40/1.43 => ( ( Xx = Xy )
% 2.40/1.43 => ( ( Xphi @ Xx )
% 2.40/1.43 <=> ( Xpsi @ Xy ) ) ) ) )
% 2.40/1.43 => ( ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 = ( dsetconstr @ B
% 2.40/1.43 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(subset_type,type,
% 2.40/1.43 subset: $i > $i > $o ).
% 2.40/1.43
% 2.40/1.43 thf(disjoint_type,type,
% 2.40/1.43 disjoint: $i > $i > $o ).
% 2.40/1.43
% 2.40/1.43 thf(setsmeet_type,type,
% 2.40/1.43 setsmeet: $i > $i > $o ).
% 2.40/1.43
% 2.40/1.43 thf(subsetI1_type,type,
% 2.40/1.43 subsetI1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(subsetI1,definition,
% 2.40/1.43 ( subsetI1
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( in @ Xx @ B ) )
% 2.40/1.43 => ( subset @ A @ B ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(eqimpsubset2_type,type,
% 2.40/1.43 eqimpsubset2: $o ).
% 2.40/1.43
% 2.40/1.43 thf(eqimpsubset2,definition,
% 2.40/1.43 ( eqimpsubset2
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( A = B )
% 2.40/1.43 => ( subset @ B @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(eqimpsubset1_type,type,
% 2.40/1.43 eqimpsubset1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(eqimpsubset1,definition,
% 2.40/1.43 ( eqimpsubset1
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( A = B )
% 2.40/1.43 => ( subset @ A @ B ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(subsetI2_type,type,
% 2.40/1.43 subsetI2: $o ).
% 2.40/1.43
% 2.40/1.43 thf(subsetI2,definition,
% 2.40/1.43 ( subsetI2
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ! [Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( in @ Xx @ B ) )
% 2.40/1.43 => ( subset @ A @ B ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(emptysetsubset_type,type,
% 2.40/1.43 emptysetsubset: $o ).
% 2.40/1.43
% 2.40/1.43 thf(emptysetsubset,definition,
% 2.40/1.43 ( emptysetsubset
% 2.40/1.43 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(subsetE_type,type,
% 2.40/1.43 subsetE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(subsetE,definition,
% 2.40/1.43 ( subsetE
% 2.40/1.43 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.40/1.43 ( ( subset @ A @ B )
% 2.40/1.43 => ( ( in @ Xx @ A )
% 2.40/1.43 => ( in @ Xx @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(subsetE2_type,type,
% 2.40/1.43 subsetE2: $o ).
% 2.40/1.43
% 2.40/1.43 thf(subsetE2,definition,
% 2.40/1.43 ( subsetE2
% 2.40/1.43 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.40/1.43 ( ( subset @ A @ B )
% 2.40/1.43 => ( ~ ( in @ Xx @ B )
% 2.40/1.43 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(notsubsetI_type,type,
% 2.40/1.43 notsubsetI: $o ).
% 2.40/1.43
% 2.40/1.43 thf(notsubsetI,definition,
% 2.40/1.43 ( notsubsetI
% 2.40/1.43 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( ~ ( in @ Xx @ B )
% 2.40/1.43 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(notequalI1_type,type,
% 2.40/1.43 notequalI1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(notequalI1,definition,
% 2.40/1.43 ( notequalI1
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ~ ( subset @ A @ B )
% 2.40/1.43 => ( A != B ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(notequalI2_type,type,
% 2.40/1.43 notequalI2: $o ).
% 2.40/1.43
% 2.40/1.43 thf(notequalI2,definition,
% 2.40/1.43 ( notequalI2
% 2.40/1.43 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( ~ ( in @ Xx @ B )
% 2.40/1.43 => ( A != B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(subsetRefl_type,type,
% 2.40/1.43 subsetRefl: $o ).
% 2.40/1.43
% 2.40/1.43 thf(subsetRefl,definition,
% 2.40/1.43 ( subsetRefl
% 2.40/1.43 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(subsetTrans_type,type,
% 2.40/1.43 subsetTrans: $o ).
% 2.40/1.43
% 2.40/1.43 thf(subsetTrans,definition,
% 2.40/1.43 ( subsetTrans
% 2.40/1.43 = ( ! [A: $i,B: $i,C: $i] :
% 2.40/1.43 ( ( subset @ A @ B )
% 2.40/1.43 => ( ( subset @ B @ C )
% 2.40/1.43 => ( subset @ A @ C ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinSub_type,type,
% 2.40/1.43 setadjoinSub: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinSub,definition,
% 2.40/1.43 ( setadjoinSub
% 2.40/1.43 = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinSub2_type,type,
% 2.40/1.43 setadjoinSub2: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setadjoinSub2,definition,
% 2.40/1.43 ( setadjoinSub2
% 2.40/1.43 = ( ! [A: $i,Xx: $i,B: $i] :
% 2.40/1.43 ( ( subset @ A @ B )
% 2.40/1.43 => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(subset2powerset_type,type,
% 2.40/1.43 subset2powerset: $o ).
% 2.40/1.43
% 2.40/1.43 thf(subset2powerset,definition,
% 2.40/1.43 ( subset2powerset
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( subset @ A @ B )
% 2.40/1.43 => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(setextsub_type,type,
% 2.40/1.43 setextsub: $o ).
% 2.40/1.43
% 2.40/1.43 thf(setextsub,definition,
% 2.40/1.43 ( setextsub
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( subset @ A @ B )
% 2.40/1.43 => ( ( subset @ B @ A )
% 2.40/1.43 => ( A = B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(subsetemptysetimpeq_type,type,
% 2.40/1.43 subsetemptysetimpeq: $o ).
% 2.40/1.43
% 2.40/1.43 thf(subsetemptysetimpeq,definition,
% 2.40/1.43 ( subsetemptysetimpeq
% 2.40/1.43 = ( ! [A: $i] :
% 2.40/1.43 ( ( subset @ A @ emptyset )
% 2.40/1.43 => ( A = emptyset ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(powersetI1_type,type,
% 2.40/1.43 powersetI1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(powersetI1,definition,
% 2.40/1.43 ( powersetI1
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( subset @ B @ A )
% 2.40/1.43 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(powersetE1_type,type,
% 2.40/1.43 powersetE1: $o ).
% 2.40/1.43
% 2.40/1.43 thf(powersetE1,definition,
% 2.40/1.43 ( powersetE1
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( in @ B @ ( powerset @ A ) )
% 2.40/1.43 => ( subset @ B @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(inPowerset_type,type,
% 2.40/1.43 inPowerset: $o ).
% 2.40/1.43
% 2.40/1.43 thf(inPowerset,definition,
% 2.40/1.43 ( inPowerset
% 2.40/1.43 = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(powersetsubset_type,type,
% 2.40/1.43 powersetsubset: $o ).
% 2.40/1.43
% 2.40/1.43 thf(powersetsubset,definition,
% 2.40/1.43 ( powersetsubset
% 2.40/1.43 = ( ! [A: $i,B: $i] :
% 2.40/1.43 ( ( subset @ A @ B )
% 2.40/1.43 => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(sepInPowerset_type,type,
% 2.40/1.43 sepInPowerset: $o ).
% 2.40/1.43
% 2.40/1.43 thf(sepInPowerset,definition,
% 2.40/1.43 ( sepInPowerset
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o] :
% 2.40/1.43 ( in
% 2.40/1.43 @ ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 @ ( powerset @ A ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(sepSubset_type,type,
% 2.40/1.43 sepSubset: $o ).
% 2.40/1.43
% 2.40/1.43 thf(sepSubset,definition,
% 2.40/1.43 ( sepSubset
% 2.40/1.43 = ( ! [A: $i,Xphi: $i > $o] :
% 2.40/1.43 ( subset
% 2.40/1.43 @ ( dsetconstr @ A
% 2.40/1.43 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.40/1.43 @ A ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(binunion_type,type,
% 2.40/1.43 binunion: $i > $i > $i ).
% 2.40/1.43
% 2.40/1.43 thf(binunionIL_type,type,
% 2.40/1.43 binunionIL: $o ).
% 2.40/1.43
% 2.40/1.43 thf(binunionIL,definition,
% 2.40/1.43 ( binunionIL
% 2.40/1.43 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ A )
% 2.40/1.43 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(upairset2IR_type,type,
% 2.40/1.43 upairset2IR: $o ).
% 2.40/1.43
% 2.40/1.43 thf(upairset2IR,definition,
% 2.40/1.43 ( upairset2IR
% 2.40/1.43 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(binunionIR_type,type,
% 2.40/1.43 binunionIR: $o ).
% 2.40/1.43
% 2.40/1.43 thf(binunionIR,definition,
% 2.40/1.43 ( binunionIR
% 2.40/1.43 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ B )
% 2.40/1.43 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(binunionEcases_type,type,
% 2.40/1.43 binunionEcases: $o ).
% 2.40/1.43
% 2.40/1.43 thf(binunionEcases,definition,
% 2.40/1.43 ( binunionEcases
% 2.40/1.43 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 2.40/1.43 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.40/1.43 => ( ( ( in @ Xx @ A )
% 2.40/1.43 => Xphi )
% 2.40/1.43 => ( ( ( in @ Xx @ B )
% 2.40/1.43 => Xphi )
% 2.40/1.43 => Xphi ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(binunionE_type,type,
% 2.40/1.43 binunionE: $o ).
% 2.40/1.43
% 2.40/1.43 thf(binunionE,definition,
% 2.40/1.43 ( binunionE
% 2.40/1.43 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.40/1.43 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.40/1.43 => ( ( in @ Xx @ A )
% 2.40/1.43 | ( in @ Xx @ B ) ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(binunionLsub_type,type,
% 2.40/1.43 binunionLsub: $o ).
% 2.40/1.43
% 2.40/1.43 thf(binunionLsub,definition,
% 2.40/1.43 ( binunionLsub
% 2.40/1.43 = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 2.40/1.43
% 2.40/1.43 thf(binunionRsub,conjecture,
% 2.40/1.43 ( setextAx
% 2.40/1.43 => ( emptysetAx
% 2.40/1.43 => ( setadjoinAx
% 2.40/1.43 => ( powersetAx
% 2.40/1.43 => ( setunionAx
% 2.40/1.43 => ( omega0Ax
% 2.40/1.43 => ( omegaSAx
% 2.40/1.43 => ( omegaIndAx
% 2.40/1.43 => ( replAx
% 2.40/1.43 => ( foundationAx
% 2.40/1.43 => ( wellorderingAx
% 2.40/1.43 => ( descrp
% 2.40/1.43 => ( dsetconstrI
% 2.40/1.43 => ( dsetconstrEL
% 2.40/1.43 => ( dsetconstrER
% 2.40/1.43 => ( exuE1
% 2.40/1.43 => ( prop2setE
% 2.40/1.43 => ( emptysetE
% 2.40/1.43 => ( emptysetimpfalse
% 2.40/1.43 => ( notinemptyset
% 2.40/1.43 => ( exuE3e
% 2.40/1.43 => ( setext
% 2.40/1.43 => ( emptyI
% 2.40/1.43 => ( noeltsimpempty
% 2.40/1.43 => ( setbeta
% 2.40/1.43 => ( nonemptyE1
% 2.40/1.43 => ( nonemptyI
% 2.40/1.43 => ( nonemptyI1
% 2.40/1.43 => ( setadjoinIL
% 2.40/1.43 => ( emptyinunitempty
% 2.40/1.43 => ( setadjoinIR
% 2.40/1.43 => ( setadjoinE
% 2.40/1.43 => ( setadjoinOr
% 2.40/1.43 => ( setoftrueEq
% 2.40/1.43 => ( powersetI
% 2.40/1.43 => ( emptyinPowerset
% 2.40/1.43 => ( emptyInPowerset
% 2.40/1.43 => ( powersetE
% 2.40/1.43 => ( setunionI
% 2.40/1.43 => ( setunionE
% 2.40/1.43 => ( subPowSU
% 2.40/1.43 => ( exuE2
% 2.40/1.43 => ( nonemptyImpWitness
% 2.40/1.43 => ( uniqinunit
% 2.40/1.43 => ( notinsingleton
% 2.40/1.43 => ( eqinunit
% 2.40/1.43 => ( singletonsswitch
% 2.40/1.43 => ( upairsetE
% 2.40/1.43 => ( upairsetIL
% 2.40/1.43 => ( upairsetIR
% 2.40/1.43 => ( emptyE1
% 2.40/1.43 => ( vacuousDall
% 2.40/1.43 => ( quantDeMorgan1
% 2.40/1.43 => ( quantDeMorgan2
% 2.40/1.43 => ( quantDeMorgan3
% 2.40/1.43 => ( quantDeMorgan4
% 2.40/1.43 => ( prop2setI
% 2.40/1.43 => ( prop2set2propI
% 2.40/1.43 => ( notdexE
% 2.40/1.43 => ( notdallE
% 2.40/1.43 => ( exuI1
% 2.40/1.43 => ( exuI3
% 2.40/1.43 => ( exuI2
% 2.40/1.43 => ( inCongP
% 2.40/1.43 => ( in__Cong
% 2.40/1.43 => ( exuE3u
% 2.40/1.43 => ( exu__Cong
% 2.40/1.43 => ( emptyset__Cong
% 2.40/1.43 => ( setadjoin__Cong
% 2.40/1.43 => ( powerset__Cong
% 2.40/1.43 => ( setunion__Cong
% 2.40/1.43 => ( omega__Cong
% 2.40/1.43 => ( exuEu
% 2.40/1.43 => ( descr__Cong
% 2.40/1.43 => ( dsetconstr__Cong
% 2.40/1.43 => ( subsetI1
% 2.40/1.43 => ( eqimpsubset2
% 2.40/1.43 => ( eqimpsubset1
% 2.40/1.43 => ( subsetI2
% 2.40/1.43 => ( emptysetsubset
% 2.40/1.43 => ( subsetE
% 2.40/1.43 => ( subsetE2
% 2.40/1.43 => ( notsubsetI
% 2.40/1.43 => ( notequalI1
% 2.40/1.43 => ( notequalI2
% 2.40/1.43 => ( subsetRefl
% 2.40/1.43 => ( subsetTrans
% 2.40/1.43 => ( setadjoinSub
% 2.40/1.43 => ( setadjoinSub2
% 2.40/1.43 => ( subset2powerset
% 2.40/1.43 => ( setextsub
% 2.40/1.43 => ( subsetemptysetimpeq
% 2.40/1.43 => ( powersetI1
% 2.40/1.43 => ( powersetE1
% 2.40/1.43 => ( inPowerset
% 2.40/1.43 => ( powersetsubset
% 2.40/1.43 => ( sepInPowerset
% 2.40/1.43 => ( sepSubset
% 2.40/1.43 => ( binunionIL
% 2.40/1.43 => ( upairset2IR
% 2.40/1.43 => ( binunionIR
% 2.40/1.43 => ( binunionEcases
% 2.40/1.43 => ( binunionE
% 2.40/1.43 => ( binunionLsub
% 2.40/1.43 => ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.40/1.43 ------------------------
% 2.40/1.45 % (9221)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_8951 for (2999ds/2Mi)
% 2.40/1.45 % (9218)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_8951 for (2999ds/4Mi)
% 2.40/1.45 % (9221)Instruction limit reached!
% 2.40/1.45 % (9221)------------------------------
% 2.40/1.45 % (9221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.45 % (9221)Termination reason: Unknown
% 2.40/1.45 % (9221)Termination phase: shuffling
% 2.40/1.45
% 2.40/1.45 % (9221)Memory used [KB]: 1151
% 2.40/1.45 % (9221)Time elapsed: 0.002 s
% 2.40/1.45 % (9221)Instructions burned: 3 (million)
% 2.40/1.45 % (9221)------------------------------
% 2.40/1.45 % (9221)------------------------------
% 2.40/1.45 % (9219)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_8951 for (2999ds/27Mi)
% 2.40/1.45 % (9218)Instruction limit reached!
% 2.40/1.45 % (9218)------------------------------
% 2.40/1.45 % (9218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.45 % (9218)Termination reason: Unknown
% 2.40/1.45 % (9218)Termination phase: shuffling
% 2.40/1.45
% 2.40/1.45 % (9218)Memory used [KB]: 1279
% 2.40/1.45 % (9218)Time elapsed: 0.003 s
% 2.40/1.45 % (9218)Instructions burned: 6 (million)
% 2.40/1.45 % (9218)------------------------------
% 2.40/1.45 % (9218)------------------------------
% 2.40/1.45 % (9217)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/183Mi)
% 2.40/1.46 % (9220)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/2Mi)
% 2.40/1.46 % (9222)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_8951 for (2999ds/275Mi)
% 2.40/1.46 % (9223)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/18Mi)
% 2.40/1.46 % (9219)Instruction limit reached!
% 2.40/1.46 % (9219)------------------------------
% 2.40/1.46 % (9219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.46 % (9219)Termination reason: Unknown
% 2.40/1.46 % (9219)Termination phase: Property scanning
% 2.40/1.46
% 2.40/1.46 % (9219)Memory used [KB]: 1535
% 2.40/1.46 % (9219)Time elapsed: 0.009 s
% 2.40/1.46 % (9219)Instructions burned: 28 (million)
% 2.40/1.46 % (9219)------------------------------
% 2.40/1.46 % (9219)------------------------------
% 2.40/1.46 % (9220)Instruction limit reached!
% 2.40/1.46 % (9220)------------------------------
% 2.40/1.46 % (9220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.46 % (9220)Termination reason: Unknown
% 2.40/1.46 % (9220)Termination phase: shuffling
% 2.40/1.46
% 2.40/1.46 % (9220)Memory used [KB]: 1151
% 2.40/1.46 % (9220)Time elapsed: 0.004 s
% 2.40/1.46 % (9220)Instructions burned: 3 (million)
% 2.40/1.46 % (9220)------------------------------
% 2.40/1.46 % (9220)------------------------------
% 2.40/1.46 % (9224)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/3Mi)
% 2.40/1.46 % (9224)Instruction limit reached!
% 2.40/1.46 % (9224)------------------------------
% 2.40/1.46 % (9224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.46 % (9224)Termination reason: Unknown
% 2.40/1.46 % (9224)Termination phase: shuffling
% 2.40/1.46
% 2.40/1.46 % (9224)Memory used [KB]: 1279
% 2.40/1.46 % (9224)Time elapsed: 0.002 s
% 2.40/1.46 % (9224)Instructions burned: 4 (million)
% 2.40/1.46 % (9224)------------------------------
% 2.40/1.46 % (9224)------------------------------
% 2.40/1.46 % (9225)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_8951 for (2999ds/37Mi)
% 2.40/1.47 % (9223)Instruction limit reached!
% 2.40/1.47 % (9223)------------------------------
% 2.40/1.47 % (9223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.47 % (9223)Termination reason: Unknown
% 2.40/1.47 % (9223)Termination phase: Preprocessing 3
% 2.40/1.47
% 2.40/1.47 % (9223)Memory used [KB]: 1535
% 2.40/1.47 % (9223)Time elapsed: 0.013 s
% 2.40/1.47 % (9226)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_8951 for (2999ds/15Mi)
% 2.40/1.47 % (9223)Instructions burned: 19 (million)
% 2.40/1.47 % (9223)------------------------------
% 2.40/1.47 % (9223)------------------------------
% 2.40/1.47 % (9228)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_8951 for (2999ds/1041Mi)
% 2.40/1.47 % (9225)Instruction limit reached!
% 2.40/1.47 % (9225)------------------------------
% 2.40/1.47 % (9225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.47 % (9225)Termination reason: Unknown
% 2.40/1.47 % (9225)Termination phase: Function definition elimination
% 2.40/1.47
% 2.40/1.47 % (9225)Memory used [KB]: 1535
% 2.40/1.47 % (9225)Time elapsed: 0.012 s
% 2.40/1.47 % (9225)Instructions burned: 38 (million)
% 2.40/1.47 % (9225)------------------------------
% 2.40/1.47 % (9225)------------------------------
% 2.40/1.47 % (9226)Instruction limit reached!
% 2.40/1.47 % (9226)------------------------------
% 2.40/1.47 % (9226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.47 % (9226)Termination reason: Unknown
% 2.40/1.47 % (9226)Termination phase: Naming
% 2.40/1.47
% 2.40/1.47 % (9226)Memory used [KB]: 1535
% 2.40/1.47 % (9226)Time elapsed: 0.007 s
% 2.40/1.47 % (9226)Instructions burned: 17 (million)
% 2.40/1.47 % (9226)------------------------------
% 2.40/1.47 % (9226)------------------------------
% 2.40/1.47 % (9227)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_8951 for (2999ds/3Mi)
% 2.40/1.48 % (9227)Instruction limit reached!
% 2.40/1.48 % (9227)------------------------------
% 2.40/1.48 % (9227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.48 % (9227)Termination reason: Unknown
% 2.40/1.48 % (9227)Termination phase: shuffling
% 2.40/1.48
% 2.40/1.48 % (9227)Memory used [KB]: 1279
% 2.40/1.48 % (9227)Time elapsed: 0.004 s
% 2.40/1.48 % (9227)Instructions burned: 4 (million)
% 2.40/1.48 % (9227)------------------------------
% 2.40/1.48 % (9227)------------------------------
% 2.40/1.48 % (9230)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/16Mi)
% 2.40/1.48 % (9231)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_8951 for (2999ds/3Mi)
% 2.40/1.48 % (9231)Instruction limit reached!
% 2.40/1.48 % (9231)------------------------------
% 2.40/1.48 % (9231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.48 % (9231)Termination reason: Unknown
% 2.40/1.48 % (9231)Termination phase: shuffling
% 2.40/1.48
% 2.40/1.48 % (9231)Memory used [KB]: 1151
% 2.40/1.48 % (9231)Time elapsed: 0.002 s
% 2.40/1.48 % (9231)Instructions burned: 3 (million)
% 2.40/1.48 % (9231)------------------------------
% 2.40/1.48 % (9231)------------------------------
% 2.40/1.48 % (9229)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/7Mi)
% 2.40/1.49 % (9230)Instruction limit reached!
% 2.40/1.49 % (9230)------------------------------
% 2.40/1.49 % (9230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.49 % (9230)Termination reason: Unknown
% 2.40/1.49 % (9230)Termination phase: Property scanning
% 2.40/1.49
% 2.40/1.49 % (9230)Memory used [KB]: 1535
% 2.40/1.49 % (9230)Time elapsed: 0.007 s
% 2.40/1.49 % (9230)Instructions burned: 18 (million)
% 2.40/1.49 % (9230)------------------------------
% 2.40/1.49 % (9230)------------------------------
% 2.40/1.49 % (9229)Instruction limit reached!
% 2.40/1.49 % (9229)------------------------------
% 2.40/1.49 % (9229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.49 % (9229)Termination reason: Unknown
% 2.40/1.49 % (9229)Termination phase: shuffling
% 2.40/1.49
% 2.40/1.49 % (9229)Memory used [KB]: 1279
% 2.40/1.49 % (9229)Time elapsed: 0.006 s
% 2.40/1.49 % (9229)Instructions burned: 8 (million)
% 2.40/1.49 % (9229)------------------------------
% 2.40/1.49 % (9229)------------------------------
% 2.40/1.49 % (9233)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/7Mi)
% 2.40/1.49 % (9233)Instruction limit reached!
% 2.40/1.49 % (9233)------------------------------
% 2.40/1.49 % (9233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.49 % (9233)Termination reason: Unknown
% 2.40/1.49 % (9233)Termination phase: shuffling
% 2.40/1.49
% 2.40/1.49 % (9233)Memory used [KB]: 1279
% 2.40/1.49 % (9233)Time elapsed: 0.003 s
% 2.40/1.49 % (9233)Instructions burned: 8 (million)
% 2.40/1.49 % (9233)------------------------------
% 2.40/1.49 % (9233)------------------------------
% 2.40/1.49 % (9232)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_8951 for (2999ds/3Mi)
% 2.40/1.50 % (9234)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/3Mi)
% 2.40/1.50 % (9232)Instruction limit reached!
% 2.40/1.50 % (9232)------------------------------
% 2.40/1.50 % (9232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.40/1.50 % (9232)Termination reason: Unknown
% 2.40/1.50 % (9232)Termination phase: shuffling
% 2.40/1.50
% 2.40/1.50 % (9232)Memory used [KB]: 1151
% 2.40/1.50 % (9232)Time elapsed: 0.004 s
% 2.40/1.50 % (9232)Instructions burned: 4 (million)
% 2.40/1.50 % (9232)------------------------------
% 2.40/1.50 % (9232)------------------------------
% 2.45/1.50 % (9234)Instruction limit reached!
% 2.45/1.50 % (9234)------------------------------
% 2.45/1.50 % (9234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.50 % (9234)Termination reason: Unknown
% 2.45/1.50 % (9234)Termination phase: shuffling
% 2.45/1.50
% 2.45/1.50 % (9234)Memory used [KB]: 1279
% 2.45/1.50 % (9234)Time elapsed: 0.003 s
% 2.45/1.50 % (9234)Instructions burned: 4 (million)
% 2.45/1.50 % (9234)------------------------------
% 2.45/1.50 % (9234)------------------------------
% 2.45/1.50 % (9236)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/18Mi)
% 2.45/1.51 % (9235)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/4Mi)
% 2.45/1.51 % (9238)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/6Mi)
% 2.45/1.51 % (9236)Instruction limit reached!
% 2.45/1.51 % (9236)------------------------------
% 2.45/1.51 % (9236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.51 % (9236)Termination reason: Unknown
% 2.45/1.51 % (9236)Termination phase: Property scanning
% 2.45/1.51
% 2.45/1.51 % (9236)Memory used [KB]: 1407
% 2.45/1.51 % (9236)Time elapsed: 0.006 s
% 2.45/1.51 % (9236)Instructions burned: 19 (million)
% 2.45/1.51 % (9236)------------------------------
% 2.45/1.51 % (9236)------------------------------
% 2.45/1.51 % (9235)Instruction limit reached!
% 2.45/1.51 % (9235)------------------------------
% 2.45/1.51 % (9235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.51 % (9235)Termination reason: Unknown
% 2.45/1.51 % (9235)Termination phase: shuffling
% 2.45/1.51
% 2.45/1.51 % (9235)Memory used [KB]: 1279
% 2.45/1.51 % (9235)Time elapsed: 0.005 s
% 2.45/1.51 % (9235)Instructions burned: 5 (million)
% 2.45/1.51 % (9235)------------------------------
% 2.45/1.51 % (9235)------------------------------
% 2.45/1.51 % (9238)Instruction limit reached!
% 2.45/1.51 % (9238)------------------------------
% 2.45/1.51 % (9238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.51 % (9238)Termination reason: Unknown
% 2.45/1.51 % (9238)Termination phase: shuffling
% 2.45/1.51
% 2.45/1.51 % (9238)Memory used [KB]: 1279
% 2.45/1.51 % (9238)Time elapsed: 0.004 s
% 2.45/1.51 % (9238)Instructions burned: 8 (million)
% 2.45/1.51 % (9238)------------------------------
% 2.45/1.51 % (9238)------------------------------
% 2.45/1.51 % (9237)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/710Mi)
% 2.45/1.52 % (9239)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_8951 for (2999ds/902Mi)
% 2.45/1.52 % (9241)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/5Mi)
% 2.45/1.52 % (9241)Instruction limit reached!
% 2.45/1.52 % (9241)------------------------------
% 2.45/1.52 % (9241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.52 % (9241)Termination reason: Unknown
% 2.45/1.52 % (9241)Termination phase: shuffling
% 2.45/1.52
% 2.45/1.52 % (9241)Memory used [KB]: 1279
% 2.45/1.52 % (9241)Time elapsed: 0.004 s
% 2.45/1.52 % (9241)Instructions burned: 8 (million)
% 2.45/1.52 % (9241)------------------------------
% 2.45/1.52 % (9241)------------------------------
% 2.45/1.53 % (9240)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_8951 for (2999ds/21Mi)
% 2.45/1.53 % (9242)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_8951 for (2999ds/6Mi)
% 2.45/1.53 % (9242)Instruction limit reached!
% 2.45/1.53 % (9242)------------------------------
% 2.45/1.53 % (9242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.53 % (9242)Termination reason: Unknown
% 2.45/1.53 % (9242)Termination phase: shuffling
% 2.45/1.53
% 2.45/1.53 % (9242)Memory used [KB]: 1279
% 2.45/1.53 % (9242)Time elapsed: 0.004 s
% 2.45/1.53 % (9242)Instructions burned: 8 (million)
% 2.45/1.53 % (9242)------------------------------
% 2.45/1.53 % (9242)------------------------------
% 2.45/1.54 % (9240)Instruction limit reached!
% 2.45/1.54 % (9240)------------------------------
% 2.45/1.54 % (9240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.54 % (9240)Termination reason: Unknown
% 2.45/1.54 % (9240)Termination phase: Property scanning
% 2.45/1.54
% 2.45/1.54 % (9240)Memory used [KB]: 1407
% 2.45/1.54 % (9240)Time elapsed: 0.013 s
% 2.45/1.54 % (9240)Instructions burned: 22 (million)
% 2.45/1.54 % (9240)------------------------------
% 2.45/1.54 % (9240)------------------------------
% 2.45/1.54 % (9217)Instruction limit reached!
% 2.45/1.54 % (9217)------------------------------
% 2.45/1.54 % (9217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.54 % (9217)Termination reason: Unknown
% 2.45/1.54 % (9217)Termination phase: Saturation
% 2.45/1.54
% 2.45/1.54 % (9217)Memory used [KB]: 6908
% 2.45/1.54 % (9217)Time elapsed: 0.087 s
% 2.45/1.54 % (9217)Instructions burned: 184 (million)
% 2.45/1.54 % (9217)------------------------------
% 2.45/1.54 % (9217)------------------------------
% 2.45/1.54 % (9243)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_8951 for (2999ds/377Mi)
% 2.45/1.55 % (9245)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_8951 for (2999ds/19Mi)
% 2.45/1.55 % (9244)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_8951 for (2999ds/779Mi)
% 2.45/1.56 % (9245)Instruction limit reached!
% 2.45/1.56 % (9245)------------------------------
% 2.45/1.56 % (9245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.56 % (9245)Termination reason: Unknown
% 2.45/1.56 % (9245)Termination phase: Property scanning
% 2.45/1.56
% 2.45/1.56 % (9245)Memory used [KB]: 1407
% 2.45/1.56 % (9245)Time elapsed: 0.007 s
% 2.45/1.56 % (9245)Instructions burned: 19 (million)
% 2.45/1.56 % (9245)------------------------------
% 2.45/1.56 % (9245)------------------------------
% 2.45/1.56 % (9222)Instruction limit reached!
% 2.45/1.56 % (9222)------------------------------
% 2.45/1.56 % (9222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.56 % (9222)Termination reason: Unknown
% 2.45/1.56 % (9222)Termination phase: Saturation
% 2.45/1.56
% 2.45/1.56 % (9222)Memory used [KB]: 7675
% 2.45/1.56 % (9222)Time elapsed: 0.108 s
% 2.45/1.56 % (9222)Instructions burned: 275 (million)
% 2.45/1.56 % (9222)------------------------------
% 2.45/1.56 % (9222)------------------------------
% 2.45/1.57 % (9246)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_8951 for (2998ds/879Mi)
% 2.45/1.57 % (9247)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_8951 for (2998ds/17Mi)
% 2.45/1.58 % (9247)Instruction limit reached!
% 2.45/1.58 % (9247)------------------------------
% 2.45/1.58 % (9247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.58 % (9247)Termination reason: Unknown
% 2.45/1.58 % (9247)Termination phase: Property scanning
% 2.45/1.58
% 2.45/1.58 % (9247)Memory used [KB]: 1407
% 2.45/1.58 % (9247)Time elapsed: 0.007 s
% 2.45/1.58 % (9247)Instructions burned: 18 (million)
% 2.45/1.58 % (9247)------------------------------
% 2.45/1.58 % (9247)------------------------------
% 2.45/1.59 % (9248)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_8951 for (2998ds/3Mi)
% 2.45/1.59 % (9248)Instruction limit reached!
% 2.45/1.59 % (9248)------------------------------
% 2.45/1.59 % (9248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.59 % (9248)Termination reason: Unknown
% 2.45/1.59 % (9248)Termination phase: shuffling
% 2.45/1.59
% 2.45/1.59 % (9248)Memory used [KB]: 1279
% 2.45/1.59 % (9248)Time elapsed: 0.003 s
% 2.45/1.59 % (9248)Instructions burned: 4 (million)
% 2.45/1.59 % (9248)------------------------------
% 2.45/1.59 % (9248)------------------------------
% 2.45/1.60 % (9249)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_8951 for (2998ds/30Mi)
% 2.45/1.61 % (9249)Instruction limit reached!
% 2.45/1.61 % (9249)------------------------------
% 2.45/1.61 % (9249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.61 % (9249)Termination reason: Unknown
% 2.45/1.61 % (9249)Termination phase: Property scanning
% 2.45/1.61
% 2.45/1.61 % (9249)Memory used [KB]: 1535
% 2.45/1.61 % (9249)Time elapsed: 0.011 s
% 2.45/1.61 % (9249)Instructions burned: 33 (million)
% 2.45/1.61 % (9249)------------------------------
% 2.45/1.61 % (9249)------------------------------
% 2.45/1.62 % (9250)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_8951 for (2998ds/127Mi)
% 2.45/1.66 % (9250)Instruction limit reached!
% 2.45/1.66 % (9250)------------------------------
% 2.45/1.66 % (9250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.66 % (9250)Termination reason: Unknown
% 2.45/1.66 % (9250)Termination phase: Saturation
% 2.45/1.66
% 2.45/1.66 % (9250)Memory used [KB]: 6780
% 2.45/1.66 % (9250)Time elapsed: 0.040 s
% 2.45/1.66 % (9250)Instructions burned: 127 (million)
% 2.45/1.66 % (9250)------------------------------
% 2.45/1.66 % (9250)------------------------------
% 2.45/1.66 % (9243)Instruction limit reached!
% 2.45/1.66 % (9243)------------------------------
% 2.45/1.66 % (9243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.66 % (9243)Termination reason: Unknown
% 2.45/1.66 % (9243)Termination phase: Saturation
% 2.45/1.66
% 2.45/1.66 % (9243)Memory used [KB]: 7164
% 2.45/1.66 % (9243)Time elapsed: 0.116 s
% 2.45/1.66 % (9243)Instructions burned: 378 (million)
% 2.45/1.66 % (9243)------------------------------
% 2.45/1.66 % (9243)------------------------------
% 2.45/1.67 % (9251)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_8951 for (2997ds/100Mi)
% 2.45/1.67 % (9252)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_8951 for (2997ds/3Mi)
% 2.45/1.67 % (9252)Instruction limit reached!
% 2.45/1.67 % (9252)------------------------------
% 2.45/1.67 % (9252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.67 % (9252)Termination reason: Unknown
% 2.45/1.67 % (9252)Termination phase: shuffling
% 2.45/1.67
% 2.45/1.67 % (9252)Memory used [KB]: 1151
% 2.45/1.67 % (9252)Time elapsed: 0.002 s
% 2.45/1.67 % (9252)Instructions burned: 4 (million)
% 2.45/1.67 % (9252)------------------------------
% 2.45/1.67 % (9252)------------------------------
% 2.45/1.68 % (9253)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_8951 for (2997ds/20Mi)
% 2.45/1.68 % (9253)Instruction limit reached!
% 2.45/1.68 % (9253)------------------------------
% 2.45/1.68 % (9253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.68 % (9253)Termination reason: Unknown
% 2.45/1.68 % (9253)Termination phase: Preprocessing 3
% 2.45/1.68
% 2.45/1.68 % (9253)Memory used [KB]: 1535
% 2.45/1.68 % (9253)Time elapsed: 0.007 s
% 2.45/1.68 % (9253)Instructions burned: 21 (million)
% 2.45/1.68 % (9253)------------------------------
% 2.45/1.68 % (9253)------------------------------
% 2.45/1.69 % (9254)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_8951 for (2997ds/86Mi)
% 2.45/1.70 % (9251)Instruction limit reached!
% 2.45/1.70 % (9251)------------------------------
% 2.45/1.70 % (9251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.70 % (9251)Termination reason: Unknown
% 2.45/1.70 % (9251)Termination phase: Saturation
% 2.45/1.70
% 2.45/1.70 % (9251)Memory used [KB]: 6268
% 2.45/1.70 % (9251)Time elapsed: 0.032 s
% 2.45/1.70 % (9251)Instructions burned: 101 (million)
% 2.45/1.70 % (9251)------------------------------
% 2.45/1.70 % (9251)------------------------------
% 2.45/1.71 % (9255)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_8951 for (2997ds/107Mi)
% 2.45/1.72 % (9254)Instruction limit reached!
% 2.45/1.72 % (9254)------------------------------
% 2.45/1.72 % (9254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.72 % (9254)Termination reason: Unknown
% 2.45/1.72 % (9254)Termination phase: Saturation
% 2.45/1.72
% 2.45/1.72 % (9254)Memory used [KB]: 6396
% 2.45/1.72 % (9254)Time elapsed: 0.025 s
% 2.45/1.72 % (9254)Instructions burned: 89 (million)
% 2.45/1.72 % (9254)------------------------------
% 2.45/1.72 % (9254)------------------------------
% 2.45/1.72 % (9228)Instruction limit reached!
% 2.45/1.72 % (9228)------------------------------
% 2.45/1.72 % (9228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.72 % (9228)Termination reason: Unknown
% 2.45/1.72 % (9228)Termination phase: Saturation
% 2.45/1.72
% 2.45/1.72 % (9228)Memory used [KB]: 7931
% 2.45/1.72 % (9228)Time elapsed: 0.251 s
% 2.45/1.72 % (9228)Instructions burned: 1043 (million)
% 2.45/1.72 % (9228)------------------------------
% 2.45/1.72 % (9228)------------------------------
% 2.45/1.73 % (9257)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_8951 for (2997ds/448Mi)
% 2.45/1.73 % (9256)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_8951 for (2997ds/39Mi)
% 2.45/1.74 % (9255)Instruction limit reached!
% 2.45/1.74 % (9255)------------------------------
% 2.45/1.74 % (9255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.74 % (9255)Termination reason: Unknown
% 2.45/1.74 % (9255)Termination phase: Saturation
% 2.45/1.74
% 2.45/1.74 % (9255)Memory used [KB]: 6652
% 2.45/1.74 % (9255)Time elapsed: 0.033 s
% 2.45/1.74 % (9255)Instructions burned: 109 (million)
% 2.45/1.74 % (9255)------------------------------
% 2.45/1.74 % (9255)------------------------------
% 2.45/1.75 % (9258)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_8951 for (2996ds/46Mi)
% 2.45/1.75 % (9256)Instruction limit reached!
% 2.45/1.75 % (9256)------------------------------
% 2.45/1.75 % (9256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.75 % (9256)Termination reason: Unknown
% 2.45/1.75 % (9256)Termination phase: Function definition elimination
% 2.45/1.75
% 2.45/1.75 % (9256)Memory used [KB]: 1535
% 2.45/1.75 % (9256)Time elapsed: 0.021 s
% 2.45/1.75 % (9256)Instructions burned: 39 (million)
% 2.45/1.75 % (9256)------------------------------
% 2.45/1.75 % (9256)------------------------------
% 2.45/1.75 % (9244)Instruction limit reached!
% 2.45/1.75 % (9244)------------------------------
% 2.45/1.75 % (9244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.75 % (9244)Termination reason: Unknown
% 2.45/1.76 % (9244)Termination phase: Saturation
% 2.45/1.76
% 2.45/1.76 % (9244)Memory used [KB]: 6780
% 2.45/1.76 % (9244)Time elapsed: 0.204 s
% 2.45/1.76 % (9244)Instructions burned: 779 (million)
% 2.45/1.76 % (9244)------------------------------
% 2.45/1.76 % (9244)------------------------------
% 2.45/1.76 % (9237)Instruction limit reached!
% 2.45/1.76 % (9237)------------------------------
% 2.45/1.76 % (9237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.76 % (9237)Termination reason: Unknown
% 2.45/1.76 % (9237)Termination phase: Saturation
% 2.45/1.76
% 2.45/1.76 % (9237)Memory used [KB]: 8443
% 2.45/1.76 % (9237)Time elapsed: 0.249 s
% 2.45/1.76 % (9237)Instructions burned: 712 (million)
% 2.45/1.76 % (9237)------------------------------
% 2.45/1.76 % (9237)------------------------------
% 2.45/1.76 % (9258)Instruction limit reached!
% 2.45/1.76 % (9258)------------------------------
% 2.45/1.76 % (9258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.76 % (9258)Termination reason: Unknown
% 2.45/1.76 % (9258)Termination phase: Twee Goal Transformation
% 2.45/1.76
% 2.45/1.76 % (9258)Memory used [KB]: 1535
% 2.45/1.76 % (9258)Time elapsed: 0.015 s
% 2.45/1.76 % (9258)Instructions burned: 49 (million)
% 2.45/1.76 % (9258)------------------------------
% 2.45/1.76 % (9258)------------------------------
% 2.45/1.77 % (9260)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_8951 for (2996ds/507Mi)
% 2.45/1.77 % (9261)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_8951 for (2996ds/149Mi)
% 2.45/1.77 % (9262)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_8951 for (2996ds/39Mi)
% 2.45/1.77 % (9259)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_8951 for (2996ds/98Mi)
% 2.45/1.78 % (9262)Instruction limit reached!
% 2.45/1.78 % (9262)------------------------------
% 2.45/1.78 % (9262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.78 % (9262)Termination reason: Unknown
% 2.45/1.78 % (9262)Termination phase: Property scanning
% 2.45/1.78
% 2.45/1.78 % (9262)Memory used [KB]: 1535
% 2.45/1.78 % (9262)Time elapsed: 0.013 s
% 2.45/1.78 % (9262)Instructions burned: 41 (million)
% 2.45/1.78 % (9262)------------------------------
% 2.45/1.78 % (9262)------------------------------
% 2.45/1.79 % (9263)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_8951 for (2996ds/6Mi)
% 2.45/1.79 % (9239)Instruction limit reached!
% 2.45/1.79 % (9239)------------------------------
% 2.45/1.79 % (9239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.79 % (9239)Termination reason: Unknown
% 2.45/1.79 % (9239)Termination phase: Saturation
% 2.45/1.79
% 2.45/1.79 % (9239)Memory used [KB]: 9210
% 2.45/1.79 % (9239)Time elapsed: 0.278 s
% 2.45/1.79 % (9239)Instructions burned: 903 (million)
% 2.45/1.79 % (9239)------------------------------
% 2.45/1.79 % (9239)------------------------------
% 2.45/1.79 % (9263)Instruction limit reached!
% 2.45/1.79 % (9263)------------------------------
% 2.45/1.79 % (9263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.79 % (9263)Termination reason: Unknown
% 2.45/1.79 % (9263)Termination phase: shuffling
% 2.45/1.79
% 2.45/1.79 % (9263)Memory used [KB]: 1279
% 2.45/1.79 % (9263)Time elapsed: 0.004 s
% 2.45/1.79 % (9263)Instructions burned: 8 (million)
% 2.45/1.79 % (9263)------------------------------
% 2.45/1.79 % (9263)------------------------------
% 2.45/1.80 % (9264)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_8951 for (2996ds/1087Mi)
% 2.45/1.80 % (9265)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_8951 for (2996ds/47Mi)
% 2.45/1.82 % (9259)Instruction limit reached!
% 2.45/1.82 % (9259)------------------------------
% 2.45/1.82 % (9259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.82 % (9259)Termination reason: Unknown
% 2.45/1.82 % (9259)Termination phase: Saturation
% 2.45/1.82
% 2.45/1.82 % (9259)Memory used [KB]: 1663
% 2.45/1.82 % (9259)Time elapsed: 0.046 s
% 2.45/1.82 % (9259)Instructions burned: 100 (million)
% 2.45/1.82 % (9259)------------------------------
% 2.45/1.82 % (9259)------------------------------
% 2.45/1.82 % (9265)Instruction limit reached!
% 2.45/1.82 % (9265)------------------------------
% 2.45/1.82 % (9265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.82 % (9265)Termination reason: Unknown
% 2.45/1.82 % (9265)Termination phase: Saturation
% 2.45/1.82
% 2.45/1.82 % (9265)Memory used [KB]: 6012
% 2.45/1.82 % (9265)Time elapsed: 0.015 s
% 2.45/1.82 % (9265)Instructions burned: 48 (million)
% 2.45/1.82 % (9265)------------------------------
% 2.45/1.82 % (9265)------------------------------
% 2.45/1.82 % (9261)Instruction limit reached!
% 2.45/1.82 % (9261)------------------------------
% 2.45/1.82 % (9261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.82 % (9261)Termination reason: Unknown
% 2.45/1.82 % (9261)Termination phase: Saturation
% 2.45/1.82
% 2.45/1.82 % (9261)Memory used [KB]: 6652
% 2.45/1.82 % (9261)Time elapsed: 0.050 s
% 2.45/1.82 % (9261)Instructions burned: 150 (million)
% 2.45/1.82 % (9261)------------------------------
% 2.45/1.82 % (9261)------------------------------
% 2.45/1.83 % (9266)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_8951 for (2996ds/44Mi)
% 2.45/1.83 % (9267)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_8951 for (2996ds/432Mi)
% 2.45/1.83 % (9268)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_8951 for (2996ds/62Mi)
% 2.45/1.83 % (9257)Instruction limit reached!
% 2.45/1.83 % (9257)------------------------------
% 2.45/1.83 % (9257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.83 % (9257)Termination reason: Unknown
% 2.45/1.83 % (9257)Termination phase: Saturation
% 2.45/1.83
% 2.45/1.83 % (9257)Memory used [KB]: 6396
% 2.45/1.83 % (9257)Time elapsed: 0.105 s
% 2.45/1.83 % (9257)Instructions burned: 449 (million)
% 2.45/1.83 % (9257)------------------------------
% 2.45/1.83 % (9257)------------------------------
% 2.45/1.84 % (9266)Instruction limit reached!
% 2.45/1.84 % (9266)------------------------------
% 2.45/1.84 % (9266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.84 % (9266)Termination reason: Unknown
% 2.45/1.84 % (9266)Termination phase: Property scanning
% 2.45/1.84
% 2.45/1.84 % (9266)Memory used [KB]: 1663
% 2.45/1.84 % (9266)Time elapsed: 0.014 s
% 2.45/1.84 % (9266)Instructions burned: 47 (million)
% 2.45/1.84 % (9266)------------------------------
% 2.45/1.84 % (9266)------------------------------
% 2.45/1.84 % (9269)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_8951 for (2996ds/31Mi)
% 2.45/1.85 % (9268)Instruction limit reached!
% 2.45/1.85 % (9268)------------------------------
% 2.45/1.85 % (9268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.85 % (9268)Termination reason: Unknown
% 2.45/1.85 % (9268)Termination phase: Saturation
% 2.45/1.85
% 2.45/1.85 % (9268)Memory used [KB]: 6140
% 2.45/1.85 % (9268)Time elapsed: 0.019 s
% 2.45/1.85 % (9268)Instructions burned: 64 (million)
% 2.45/1.85 % (9268)------------------------------
% 2.45/1.85 % (9268)------------------------------
% 2.45/1.85 % (9270)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_8951 for (2995ds/96Mi)
% 2.45/1.85 % (9269)Instruction limit reached!
% 2.45/1.85 % (9269)------------------------------
% 2.45/1.85 % (9269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.85 % (9269)Termination reason: Unknown
% 2.45/1.85 % (9269)Termination phase: Property scanning
% 2.45/1.85
% 2.45/1.85 % (9269)Memory used [KB]: 1535
% 2.45/1.85 % (9269)Time elapsed: 0.010 s
% 2.45/1.85 % (9269)Instructions burned: 34 (million)
% 2.45/1.85 % (9269)------------------------------
% 2.45/1.85 % (9269)------------------------------
% 2.45/1.86 % (9271)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_8951 for (2995ds/453Mi)
% 2.45/1.86 % (9272)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_8951 for (2995ds/71Mi)
% 2.45/1.86 % (9246)Instruction limit reached!
% 2.45/1.86 % (9246)------------------------------
% 2.45/1.86 % (9246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.86 % (9246)Termination reason: Unknown
% 2.45/1.86 % (9246)Termination phase: Saturation
% 2.45/1.86
% 2.45/1.86 % (9246)Memory used [KB]: 7547
% 2.45/1.86 % (9246)Time elapsed: 0.296 s
% 2.45/1.86 % (9246)Instructions burned: 880 (million)
% 2.45/1.86 % (9246)------------------------------
% 2.45/1.86 % (9246)------------------------------
% 2.45/1.87 % (9273)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_8951 for (2995ds/83Mi)
% 2.45/1.88 % (9270)Instruction limit reached!
% 2.45/1.88 % (9270)------------------------------
% 2.45/1.88 % (9270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.88 % (9270)Termination reason: Unknown
% 2.45/1.88 % (9270)Termination phase: Saturation
% 2.45/1.88
% 2.45/1.88 % (9270)Memory used [KB]: 6524
% 2.45/1.88 % (9270)Time elapsed: 0.030 s
% 2.45/1.88 % (9270)Instructions burned: 98 (million)
% 2.45/1.88 % (9270)------------------------------
% 2.45/1.88 % (9270)------------------------------
% 2.45/1.88 % (9272)Instruction limit reached!
% 2.45/1.88 % (9272)------------------------------
% 2.45/1.88 % (9272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.88 % (9272)Termination reason: Unknown
% 2.45/1.88 % (9272)Termination phase: Saturation
% 2.45/1.88
% 2.45/1.88 % (9272)Memory used [KB]: 6268
% 2.45/1.88 % (9272)Time elapsed: 0.020 s
% 2.45/1.88 % (9272)Instructions burned: 72 (million)
% 2.45/1.88 % (9272)------------------------------
% 2.45/1.88 % (9272)------------------------------
% 2.45/1.89 % (9275)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_8951 for (2995ds/41Mi)
% 2.45/1.89 % (9274)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_8951 for (2995ds/11Mi)
% 2.45/1.89 % (9274)Instruction limit reached!
% 2.45/1.89 % (9274)------------------------------
% 2.45/1.89 % (9274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.89 % (9274)Termination reason: Unknown
% 2.45/1.89 % (9274)Termination phase: shuffling
% 2.45/1.89
% 2.45/1.89 % (9274)Memory used [KB]: 1407
% 2.45/1.89 % (9274)Time elapsed: 0.005 s
% 2.45/1.89 % (9274)Instructions burned: 11 (million)
% 2.45/1.89 % (9274)------------------------------
% 2.45/1.89 % (9274)------------------------------
% 2.45/1.89 % (9273)Instruction limit reached!
% 2.45/1.89 % (9273)------------------------------
% 2.45/1.89 % (9273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.89 % (9273)Termination reason: Unknown
% 2.45/1.89 % (9273)Termination phase: Saturation
% 2.45/1.89
% 2.45/1.89 % (9273)Memory used [KB]: 6268
% 2.45/1.89 % (9273)Time elapsed: 0.025 s
% 2.45/1.89 % (9273)Instructions burned: 84 (million)
% 2.45/1.89 % (9273)------------------------------
% 2.45/1.89 % (9273)------------------------------
% 2.45/1.90 % (9275)Instruction limit reached!
% 2.45/1.90 % (9275)------------------------------
% 2.45/1.90 % (9275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.90 % (9275)Termination reason: Unknown
% 2.45/1.90 % (9275)Termination phase: Property scanning
% 2.45/1.90
% 2.45/1.90 % (9275)Memory used [KB]: 1535
% 2.45/1.90 % (9275)Time elapsed: 0.012 s
% 2.45/1.90 % (9275)Instructions burned: 44 (million)
% 2.45/1.90 % (9275)------------------------------
% 2.45/1.90 % (9275)------------------------------
% 2.45/1.90 % (9276)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_8951 for (2995ds/6Mi)
% 2.45/1.90 % (9276)Instruction limit reached!
% 2.45/1.90 % (9276)------------------------------
% 2.45/1.90 % (9276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.90 % (9276)Termination reason: Unknown
% 2.45/1.90 % (9276)Termination phase: shuffling
% 2.45/1.90
% 2.45/1.90 % (9276)Memory used [KB]: 1279
% 2.45/1.90 % (9276)Time elapsed: 0.004 s
% 2.45/1.90 % (9276)Instructions burned: 7 (million)
% 2.45/1.90 % (9276)------------------------------
% 2.45/1.90 % (9276)------------------------------
% 2.45/1.90 % (9277)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_8951 for (2995ds/150Mi)
% 2.45/1.91 % (9278)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_8951 for (2995ds/343Mi)
% 2.45/1.91 % (9279)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_8951 for (2995ds/109Mi)
% 2.45/1.93 % (9260)Instruction limit reached!
% 2.45/1.93 % (9260)------------------------------
% 2.45/1.93 % (9260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.93 % (9260)Termination reason: Unknown
% 2.45/1.93 % (9260)Termination phase: Saturation
% 2.45/1.93
% 2.45/1.93 % (9260)Memory used [KB]: 7036
% 2.45/1.93 % (9260)Time elapsed: 0.166 s
% 2.45/1.93 % (9260)Instructions burned: 510 (million)
% 2.45/1.93 % (9260)------------------------------
% 2.45/1.93 % (9260)------------------------------
% 2.45/1.94 % (9267)Instruction limit reached!
% 2.45/1.94 % (9267)------------------------------
% 2.45/1.94 % (9267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.94 % (9267)Termination reason: Unknown
% 2.45/1.94 % (9267)Termination phase: Saturation
% 2.45/1.94
% 2.45/1.94 % (9267)Memory used [KB]: 2558
% 2.45/1.94 % (9267)Time elapsed: 0.111 s
% 2.45/1.94 % (9267)Instructions burned: 434 (million)
% 2.45/1.94 % (9267)------------------------------
% 2.45/1.94 % (9267)------------------------------
% 2.45/1.94 % (9280)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_8951 for (2995ds/253Mi)
% 2.45/1.94 % (9279)Instruction limit reached!
% 2.45/1.94 % (9279)------------------------------
% 2.45/1.94 % (9279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.94 % (9279)Termination reason: Unknown
% 2.45/1.94 % (9279)Termination phase: Saturation
% 2.45/1.94
% 2.45/1.94 % (9279)Memory used [KB]: 6652
% 2.45/1.94 % (9279)Time elapsed: 0.034 s
% 2.45/1.94 % (9279)Instructions burned: 112 (million)
% 2.45/1.94 % (9279)------------------------------
% 2.45/1.94 % (9279)------------------------------
% 2.45/1.95 % (9281)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_8951 for (2995ds/140Mi)
% 2.45/1.95 % (9277)Instruction limit reached!
% 2.45/1.95 % (9277)------------------------------
% 2.45/1.95 % (9277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.95 % (9277)Termination reason: Unknown
% 2.45/1.95 % (9277)Termination phase: Saturation
% 2.45/1.95
% 2.45/1.95 % (9277)Memory used [KB]: 7419
% 2.45/1.95 % (9277)Time elapsed: 0.047 s
% 2.45/1.95 % (9277)Instructions burned: 152 (million)
% 2.45/1.95 % (9277)------------------------------
% 2.45/1.95 % (9277)------------------------------
% 2.45/1.96 % (9282)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_8951 for (2994ds/614Mi)
% 2.45/1.96 % (9283)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_8951 for (2994ds/202Mi)
% 2.45/1.97 % (9271)Instruction limit reached!
% 2.45/1.97 % (9271)------------------------------
% 2.45/1.97 % (9271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.97 % (9271)Termination reason: Unknown
% 2.45/1.97 % (9271)Termination phase: Saturation
% 2.45/1.97
% 2.45/1.97 % (9271)Memory used [KB]: 6268
% 2.45/1.97 % (9271)Time elapsed: 0.114 s
% 2.45/1.97 % (9271)Instructions burned: 456 (million)
% 2.45/1.97 % (9271)------------------------------
% 2.45/1.97 % (9271)------------------------------
% 2.45/1.98 % (9284)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_8951 for (2994ds/339Mi)
% 2.45/1.98 % (9281)Refutation not found, incomplete strategy
% 2.45/1.98 % (9281)------------------------------
% 2.45/1.98 % (9281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/1.98 % (9281)Termination reason: Refutation not found, incomplete strategy
% 2.45/1.98
% 2.45/1.98
% 2.45/1.98 % (9281)Memory used [KB]: 6140
% 2.45/1.98 % (9281)Time elapsed: 0.036 s
% 2.45/1.98 % (9281)Instructions burned: 130 (million)
% 2.45/1.98 % (9281)------------------------------
% 2.45/1.98 % (9281)------------------------------
% 2.45/1.99 % (9285)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_8951 for (2994ds/283Mi)
% 2.45/2.01 % (9278)Instruction limit reached!
% 2.45/2.01 % (9278)------------------------------
% 2.45/2.01 % (9278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.45/2.01 % (9278)Termination reason: Unknown
% 2.45/2.01 % (9278)Termination phase: Saturation
% 2.45/2.01
% 2.45/2.01 % (9278)Memory used [KB]: 7164
% 2.45/2.01 % (9278)Time elapsed: 0.104 s
% 2.45/2.01 % (9278)Instructions burned: 346 (million)
% 2.45/2.01 % (9278)------------------------------
% 2.45/2.01 % (9278)------------------------------
% 6.38/2.02 % (9283)Instruction limit reached!
% 6.38/2.02 % (9283)------------------------------
% 6.38/2.02 % (9283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.38/2.02 % (9283)Termination reason: Unknown
% 6.38/2.02 % (9283)Termination phase: Saturation
% 6.38/2.02
% 6.38/2.02 % (9283)Memory used [KB]: 7547
% 6.38/2.02 % (9283)Time elapsed: 0.063 s
% 6.38/2.02 % (9283)Instructions burned: 203 (million)
% 6.38/2.02 % (9283)------------------------------
% 6.38/2.02 % (9283)------------------------------
% 6.38/2.02 % (9286)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_8951 for (2994ds/134Mi)
% 6.38/2.03 % (9287)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_8951 for (2994ds/298Mi)
% 6.38/2.03 % (9280)Instruction limit reached!
% 6.38/2.03 % (9280)------------------------------
% 6.38/2.03 % (9280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.38/2.03 % (9280)Termination reason: Unknown
% 6.38/2.03 % (9280)Termination phase: Saturation
% 6.38/2.04
% 6.38/2.04 % (9280)Memory used [KB]: 7803
% 6.38/2.04 % (9280)Time elapsed: 0.096 s
% 6.38/2.04 % (9280)Instructions burned: 253 (million)
% 6.38/2.04 % (9280)------------------------------
% 6.38/2.04 % (9280)------------------------------
% 6.38/2.05 % (9288)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_8951 for (2993ds/192Mi)
% 6.38/2.06 % (9286)Instruction limit reached!
% 6.38/2.06 % (9286)------------------------------
% 6.38/2.06 % (9286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.38/2.06 % (9286)Termination reason: Unknown
% 6.38/2.06 % (9286)Termination phase: Saturation
% 6.38/2.06
% 6.38/2.06 % (9286)Memory used [KB]: 6908
% 6.38/2.06 % (9286)Time elapsed: 0.039 s
% 6.38/2.06 % (9286)Instructions burned: 135 (million)
% 6.38/2.06 % (9286)------------------------------
% 6.38/2.06 % (9286)------------------------------
% 6.38/2.06 % (9285)Instruction limit reached!
% 6.38/2.06 % (9285)------------------------------
% 6.38/2.06 % (9285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.38/2.06 % (9285)Termination reason: Unknown
% 6.38/2.06 % (9285)Termination phase: Saturation
% 6.38/2.06
% 6.38/2.06 % (9285)Memory used [KB]: 8059
% 6.38/2.06 % (9285)Time elapsed: 0.071 s
% 6.38/2.06 % (9285)Instructions burned: 284 (million)
% 6.38/2.06 % (9285)------------------------------
% 6.38/2.06 % (9285)------------------------------
% 6.38/2.07 % (9289)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_8951 for (2993ds/258Mi)
% 6.38/2.07 % (9290)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_8951 for (2993ds/90Mi)
% 6.38/2.08 % (9284)Instruction limit reached!
% 6.38/2.08 % (9284)------------------------------
% 6.38/2.08 % (9284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.38/2.08 % (9284)Termination reason: Unknown
% 6.38/2.08 % (9284)Termination phase: Saturation
% 6.38/2.08
% 6.38/2.08 % (9284)Memory used [KB]: 6908
% 6.38/2.08 % (9284)Time elapsed: 0.099 s
% 6.38/2.08 % (9284)Instructions burned: 341 (million)
% 6.38/2.08 % (9284)------------------------------
% 6.38/2.08 % (9284)------------------------------
% 6.38/2.09 % (9291)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_8951 for (2993ds/231Mi)
% 6.38/2.10 % (9290)Instruction limit reached!
% 6.38/2.10 % (9290)------------------------------
% 6.38/2.10 % (9290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.38/2.10 % (9290)Termination reason: Unknown
% 6.38/2.10 % (9290)Termination phase: Saturation
% 6.38/2.10
% 6.38/2.10 % (9290)Memory used [KB]: 6524
% 6.38/2.10 % (9290)Time elapsed: 0.026 s
% 6.38/2.10 % (9290)Instructions burned: 90 (million)
% 6.38/2.10 % (9290)------------------------------
% 6.38/2.10 % (9290)------------------------------
% 6.38/2.11 % (9292)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_8951 for (2993ds/458Mi)
% 6.38/2.11 % (9287)Instruction limit reached!
% 6.38/2.11 % (9287)------------------------------
% 6.38/2.11 % (9287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.38/2.11 % (9287)Termination reason: Unknown
% 6.38/2.11 % (9287)Termination phase: Saturation
% 6.38/2.11
% 6.38/2.11 % (9287)Memory used [KB]: 6396
% 6.38/2.11 % (9287)Time elapsed: 0.078 s
% 6.38/2.11 % (9287)Instructions burned: 300 (million)
% 6.38/2.11 % (9287)------------------------------
% 6.38/2.11 % (9287)------------------------------
% 6.38/2.11 % (9288)Instruction limit reached!
% 6.38/2.11 % (9288)------------------------------
% 6.38/2.11 % (9288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.38/2.11 % (9288)Termination reason: Unknown
% 6.38/2.11 % (9288)Termination phase: Saturation
% 6.38/2.11
% 6.38/2.11 % (9288)Memory used [KB]: 7036
% 6.38/2.11 % (9288)Time elapsed: 0.061 s
% 6.38/2.11 % (9288)Instructions burned: 194 (million)
% 6.38/2.11 % (9288)------------------------------
% 6.38/2.11 % (9288)------------------------------
% 7.03/2.12 % (9293)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_8951 for (2993ds/31Mi)
% 7.03/2.12 % (9294)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_8951 for (2993ds/297Mi)
% 7.03/2.12 % (9293)Instruction limit reached!
% 7.03/2.12 % (9293)------------------------------
% 7.03/2.12 % (9293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.03/2.12 % (9293)Termination reason: Unknown
% 7.03/2.12 % (9293)Termination phase: Property scanning
% 7.03/2.12
% 7.03/2.12 % (9293)Memory used [KB]: 1535
% 7.03/2.12 % (9293)Time elapsed: 0.010 s
% 7.03/2.12 % (9293)Instructions burned: 33 (million)
% 7.03/2.12 % (9293)------------------------------
% 7.03/2.12 % (9293)------------------------------
% 7.03/2.13 % (9295)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_8951 for (2993ds/987Mi)
% 7.03/2.14 % (9264)Instruction limit reached!
% 7.03/2.14 % (9264)------------------------------
% 7.03/2.14 % (9264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.03/2.14 % (9264)Termination reason: Unknown
% 7.03/2.14 % (9264)Termination phase: Saturation
% 7.03/2.14
% 7.03/2.14 % (9264)Memory used [KB]: 9978
% 7.03/2.14 % (9264)Time elapsed: 0.343 s
% 7.03/2.14 % (9264)Instructions burned: 1088 (million)
% 7.03/2.14 % (9264)------------------------------
% 7.03/2.14 % (9264)------------------------------
% 7.03/2.15 % (9289)Instruction limit reached!
% 7.03/2.15 % (9289)------------------------------
% 7.03/2.15 % (9289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.03/2.15 % (9289)Termination reason: Unknown
% 7.03/2.15 % (9289)Termination phase: Saturation
% 7.03/2.15
% 7.03/2.15 % (9289)Memory used [KB]: 6908
% 7.03/2.15 % (9289)Time elapsed: 0.079 s
% 7.03/2.15 % (9289)Instructions burned: 258 (million)
% 7.03/2.15 % (9289)------------------------------
% 7.03/2.15 % (9289)------------------------------
% 7.03/2.15 % (9291)Instruction limit reached!
% 7.03/2.15 % (9291)------------------------------
% 7.03/2.15 % (9291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.03/2.15 % (9291)Termination reason: Unknown
% 7.03/2.15 % (9291)Termination phase: Saturation
% 7.03/2.15
% 7.03/2.15 % (9291)Memory used [KB]: 9466
% 7.03/2.15 % (9291)Time elapsed: 0.069 s
% 7.03/2.15 % (9291)Instructions burned: 231 (million)
% 7.03/2.15 % (9291)------------------------------
% 7.03/2.15 % (9291)------------------------------
% 7.03/2.15 % (9296)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_8951 for (2992ds/182Mi)
% 7.03/2.15 % (9297)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_8951 for (2992ds/182Mi)
% 7.03/2.16 % (9282)Instruction limit reached!
% 7.03/2.16 % (9282)------------------------------
% 7.03/2.16 % (9282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.03/2.16 % (9282)Termination reason: Unknown
% 7.03/2.16 % (9282)Termination phase: Saturation
% 7.03/2.16
% 7.03/2.16 % (9282)Memory used [KB]: 7931
% 7.03/2.16 % (9282)Time elapsed: 0.205 s
% 7.03/2.16 % (9282)Instructions burned: 616 (million)
% 7.03/2.16 % (9282)------------------------------
% 7.03/2.16 % (9282)------------------------------
% 7.03/2.16 % (9298)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_8951 for (2992ds/154Mi)
% 7.03/2.17 % (9299)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_8951 for (2992ds/79Mi)
% 7.03/2.19 % (9299)Instruction limit reached!
% 7.03/2.19 % (9299)------------------------------
% 7.03/2.19 % (9299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.03/2.19 % (9299)Termination reason: Unknown
% 7.03/2.19 % (9299)Termination phase: Saturation
% 7.03/2.19
% 7.03/2.19 % (9299)Memory used [KB]: 6268
% 7.03/2.19 % (9299)Time elapsed: 0.025 s
% 7.03/2.19 % (9299)Instructions burned: 82 (million)
% 7.03/2.19 % (9299)------------------------------
% 7.03/2.19 % (9299)------------------------------
% 7.03/2.19 % (9294)Instruction limit reached!
% 7.03/2.19 % (9294)------------------------------
% 7.03/2.19 % (9294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.03/2.19 % (9294)Termination reason: Unknown
% 7.03/2.19 % (9294)Termination phase: Saturation
% 7.03/2.19
% 7.03/2.19 % (9294)Memory used [KB]: 7291
% 7.03/2.19 % (9294)Time elapsed: 0.075 s
% 7.03/2.19 % (9294)Instructions burned: 299 (million)
% 7.03/2.19 % (9294)------------------------------
% 7.03/2.19 % (9294)------------------------------
% 7.44/2.20 % (9298)Instruction limit reached!
% 7.44/2.20 % (9298)------------------------------
% 7.44/2.20 % (9298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.20 % (9298)Termination reason: Unknown
% 7.44/2.20 % (9298)Termination phase: Saturation
% 7.44/2.20
% 7.44/2.20 % (9298)Memory used [KB]: 6140
% 7.44/2.20 % (9298)Time elapsed: 0.038 s
% 7.44/2.20 % (9298)Instructions burned: 154 (million)
% 7.44/2.20 % (9298)------------------------------
% 7.44/2.20 % (9298)------------------------------
% 7.44/2.20 % (9300)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_8951 for (2992ds/216Mi)
% 7.44/2.20 % (9301)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_8951 for (2992ds/114Mi)
% 7.44/2.21 % (9296)Instruction limit reached!
% 7.44/2.21 % (9296)------------------------------
% 7.44/2.21 % (9296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.21 % (9296)Termination reason: Unknown
% 7.44/2.21 % (9296)Termination phase: Saturation
% 7.44/2.21
% 7.44/2.21 % (9296)Memory used [KB]: 6908
% 7.44/2.21 % (9296)Time elapsed: 0.054 s
% 7.44/2.21 % (9296)Instructions burned: 184 (million)
% 7.44/2.21 % (9296)------------------------------
% 7.44/2.21 % (9296)------------------------------
% 7.44/2.21 % (9302)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_8951 for (2992ds/922Mi)
% 7.44/2.21 % (9297)Instruction limit reached!
% 7.44/2.21 % (9297)------------------------------
% 7.44/2.21 % (9297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.21 % (9297)Termination reason: Unknown
% 7.44/2.21 % (9297)Termination phase: Saturation
% 7.44/2.21
% 7.44/2.21 % (9297)Memory used [KB]: 8699
% 7.44/2.21 % (9297)Time elapsed: 0.058 s
% 7.44/2.21 % (9297)Instructions burned: 184 (million)
% 7.44/2.21 % (9297)------------------------------
% 7.44/2.21 % (9297)------------------------------
% 7.44/2.22 % (9303)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_8951 for (2992ds/182Mi)
% 7.44/2.22 % (9304)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_8951 for (2992ds/164Mi)
% 7.44/2.24 % (9301)Instruction limit reached!
% 7.44/2.24 % (9301)------------------------------
% 7.44/2.24 % (9301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.24 % (9301)Termination reason: Unknown
% 7.44/2.24 % (9301)Termination phase: Saturation
% 7.44/2.24
% 7.44/2.24 % (9301)Memory used [KB]: 6780
% 7.44/2.24 % (9301)Time elapsed: 0.033 s
% 7.44/2.24 % (9301)Instructions burned: 116 (million)
% 7.44/2.24 % (9301)------------------------------
% 7.44/2.24 % (9301)------------------------------
% 7.44/2.25 % (9292)Instruction limit reached!
% 7.44/2.25 % (9292)------------------------------
% 7.44/2.25 % (9292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.25 % (9292)Termination reason: Unknown
% 7.44/2.25 % (9292)Termination phase: Saturation
% 7.44/2.25
% 7.44/2.25 % (9292)Memory used [KB]: 7291
% 7.44/2.25 % (9292)Time elapsed: 0.141 s
% 7.44/2.25 % (9292)Instructions burned: 459 (million)
% 7.44/2.25 % (9292)------------------------------
% 7.44/2.25 % (9292)------------------------------
% 7.44/2.25 % (9305)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_8951 for (2992ds/50Mi)
% 7.44/2.26 % (9306)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_8951 for (2991ds/368Mi)
% 7.44/2.26 % (9300)Instruction limit reached!
% 7.44/2.26 % (9300)------------------------------
% 7.44/2.26 % (9300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.26 % (9300)Termination reason: Unknown
% 7.44/2.26 % (9300)Termination phase: Saturation
% 7.44/2.26
% 7.44/2.26 % (9300)Memory used [KB]: 7036
% 7.44/2.26 % (9300)Time elapsed: 0.055 s
% 7.44/2.26 % (9300)Instructions burned: 217 (million)
% 7.44/2.26 % (9300)------------------------------
% 7.44/2.26 % (9300)------------------------------
% 7.44/2.26 % (9305)Instruction limit reached!
% 7.44/2.26 % (9305)------------------------------
% 7.44/2.26 % (9305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.26 % (9305)Termination reason: Unknown
% 7.44/2.26 % (9305)Termination phase: Saturation
% 7.44/2.26
% 7.44/2.26 % (9305)Memory used [KB]: 10618
% 7.44/2.26 % (9305)Time elapsed: 0.014 s
% 7.44/2.26 % (9305)Instructions burned: 51 (million)
% 7.44/2.26 % (9305)------------------------------
% 7.44/2.26 % (9305)------------------------------
% 7.44/2.26 % (9303)Instruction limit reached!
% 7.44/2.26 % (9303)------------------------------
% 7.44/2.26 % (9303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.26 % (9303)Termination reason: Unknown
% 7.44/2.26 % (9303)Termination phase: Saturation
% 7.44/2.26
% 7.44/2.26 % (9303)Memory used [KB]: 6268
% 7.44/2.26 % (9303)Time elapsed: 0.046 s
% 7.44/2.26 % (9303)Instructions burned: 182 (million)
% 7.44/2.26 % (9303)------------------------------
% 7.44/2.26 % (9303)------------------------------
% 7.44/2.26 % (9307)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_8951 for (2991ds/1021Mi)
% 7.44/2.27 % (9308)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_8951 for (2991ds/267Mi)
% 7.44/2.27 % (9304)Instruction limit reached!
% 7.44/2.27 % (9304)------------------------------
% 7.44/2.27 % (9304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.27 % (9304)Termination reason: Unknown
% 7.44/2.27 % (9304)Termination phase: Saturation
% 7.44/2.27
% 7.44/2.27 % (9304)Memory used [KB]: 1918
% 7.44/2.27 % (9304)Time elapsed: 0.048 s
% 7.44/2.27 % (9304)Instructions burned: 164 (million)
% 7.44/2.27 % (9304)------------------------------
% 7.44/2.27 % (9304)------------------------------
% 7.44/2.27 % (9309)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_8951 for (2991ds/204Mi)
% 7.44/2.28 % (9310)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_8951 for (2991ds/26Mi)
% 7.44/2.28 % (9310)Instruction limit reached!
% 7.44/2.28 % (9310)------------------------------
% 7.44/2.28 % (9310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.44/2.28 % (9310)Termination reason: Unknown
% 7.44/2.28 % (9310)Termination phase: Property scanning
% 7.44/2.28
% 7.44/2.28 % (9310)Memory used [KB]: 1535
% 7.44/2.28 % (9310)Time elapsed: 0.008 s
% 7.44/2.28 % (9310)Instructions burned: 28 (million)
% 7.44/2.28 % (9310)------------------------------
% 7.44/2.28 % (9310)------------------------------
% 7.44/2.29 % (9311)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_8951 for (2991ds/53Mi)
% 8.02/2.31 % (9311)Instruction limit reached!
% 8.02/2.31 % (9311)------------------------------
% 8.02/2.31 % (9311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.31 % (9311)Termination reason: Unknown
% 8.02/2.31 % (9311)Termination phase: Saturation
% 8.02/2.31
% 8.02/2.31 % (9311)Memory used [KB]: 6140
% 8.02/2.31 % (9311)Time elapsed: 0.015 s
% 8.02/2.31 % (9311)Instructions burned: 56 (million)
% 8.02/2.31 % (9311)------------------------------
% 8.02/2.31 % (9311)------------------------------
% 8.02/2.32 % (9312)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_8951 for (2991ds/4436Mi)
% 8.02/2.33 % (9309)Instruction limit reached!
% 8.02/2.33 % (9309)------------------------------
% 8.02/2.33 % (9309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.33 % (9309)Termination reason: Unknown
% 8.02/2.33 % (9309)Termination phase: Saturation
% 8.02/2.33
% 8.02/2.33 % (9309)Memory used [KB]: 6908
% 8.02/2.33 % (9309)Time elapsed: 0.060 s
% 8.02/2.33 % (9309)Instructions burned: 204 (million)
% 8.02/2.33 % (9309)------------------------------
% 8.02/2.33 % (9309)------------------------------
% 8.02/2.33 % (9308)Instruction limit reached!
% 8.02/2.33 % (9308)------------------------------
% 8.02/2.33 % (9308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.33 % (9308)Termination reason: Unknown
% 8.02/2.33 % (9308)Termination phase: Saturation
% 8.02/2.33
% 8.02/2.33 % (9308)Memory used [KB]: 8059
% 8.02/2.33 % (9308)Time elapsed: 0.067 s
% 8.02/2.33 % (9308)Instructions burned: 269 (million)
% 8.02/2.33 % (9308)------------------------------
% 8.02/2.33 % (9308)------------------------------
% 8.02/2.34 % (9313)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_8951 for (2991ds/1539Mi)
% 8.02/2.34 % (9314)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_8951 for (2991ds/408Mi)
% 8.02/2.37 % (9306)Instruction limit reached!
% 8.02/2.37 % (9306)------------------------------
% 8.02/2.37 % (9306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.37 % (9306)Termination reason: Unknown
% 8.02/2.37 % (9306)Termination phase: Saturation
% 8.02/2.37
% 8.02/2.37 % (9306)Memory used [KB]: 7291
% 8.02/2.37 % (9306)Time elapsed: 0.113 s
% 8.02/2.37 % (9306)Instructions burned: 368 (million)
% 8.02/2.37 % (9306)------------------------------
% 8.02/2.37 % (9306)------------------------------
% 8.02/2.37 % (9295)Instruction limit reached!
% 8.02/2.37 % (9295)------------------------------
% 8.02/2.37 % (9295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.37 % (9295)Termination reason: Unknown
% 8.02/2.37 % (9295)Termination phase: Saturation
% 8.02/2.37
% 8.02/2.37 % (9295)Memory used [KB]: 7803
% 8.02/2.37 % (9295)Time elapsed: 0.235 s
% 8.02/2.37 % (9295)Instructions burned: 988 (million)
% 8.02/2.37 % (9295)------------------------------
% 8.02/2.37 % (9295)------------------------------
% 8.02/2.38 % (9315)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_8951 for (2990ds/5205Mi)
% 8.02/2.38 % (9316)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_8951 for (2990ds/1913Mi)
% 8.56/2.47 % (9314)Instruction limit reached!
% 8.56/2.47 % (9314)------------------------------
% 8.56/2.47 % (9314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.56/2.47 % (9314)Termination reason: Unknown
% 8.56/2.47 % (9314)Termination phase: Saturation
% 8.56/2.47
% 8.56/2.47 % (9314)Memory used [KB]: 8699
% 8.56/2.47 % (9314)Time elapsed: 0.132 s
% 8.56/2.47 % (9314)Instructions burned: 410 (million)
% 8.56/2.47 % (9314)------------------------------
% 8.56/2.47 % (9314)------------------------------
% 8.56/2.48 % (9317)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_8951 for (2989ds/4350Mi)
% 8.70/2.50 % (9302)Instruction limit reached!
% 8.70/2.50 % (9302)------------------------------
% 8.70/2.50 % (9302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.70/2.50 % (9302)Termination reason: Unknown
% 8.70/2.50 % (9302)Termination phase: Saturation
% 8.70/2.50
% 8.70/2.50 % (9302)Memory used [KB]: 8955
% 8.70/2.50 % (9302)Time elapsed: 0.287 s
% 8.70/2.50 % (9302)Instructions burned: 923 (million)
% 8.70/2.50 % (9302)------------------------------
% 8.70/2.50 % (9302)------------------------------
% 8.70/2.51 % (9318)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_8951 for (2989ds/68Mi)
% 8.70/2.52 % (9318)Instruction limit reached!
% 8.70/2.52 % (9318)------------------------------
% 8.70/2.52 % (9318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.70/2.52 % (9318)Termination reason: Unknown
% 8.70/2.52 % (9318)Termination phase: Saturation
% 8.70/2.52
% 8.70/2.52 % (9318)Memory used [KB]: 6268
% 8.70/2.52 % (9318)Time elapsed: 0.019 s
% 8.70/2.52 % (9318)Instructions burned: 70 (million)
% 8.70/2.52 % (9318)------------------------------
% 8.70/2.52 % (9318)------------------------------
% 8.70/2.53 % (9319)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_8951 for (2989ds/358Mi)
% 8.70/2.58 % (9307)Instruction limit reached!
% 8.70/2.58 % (9307)------------------------------
% 8.70/2.58 % (9307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.70/2.58 % (9307)Termination reason: Unknown
% 8.70/2.58 % (9307)Termination phase: Saturation
% 8.70/2.58
% 8.70/2.58 % (9307)Memory used [KB]: 9722
% 8.70/2.58 % (9307)Time elapsed: 0.319 s
% 8.70/2.58 % (9307)Instructions burned: 1023 (million)
% 8.70/2.58 % (9307)------------------------------
% 8.70/2.58 % (9307)------------------------------
% 8.70/2.59 % (9320)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_8951 for (2988ds/31Mi)
% 9.35/2.60 % (9320)Instruction limit reached!
% 9.35/2.60 % (9320)------------------------------
% 9.35/2.60 % (9320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.60 % (9320)Termination reason: Unknown
% 9.35/2.60 % (9320)Termination phase: Property scanning
% 9.35/2.60
% 9.35/2.60 % (9320)Memory used [KB]: 1535
% 9.35/2.60 % (9320)Time elapsed: 0.010 s
% 9.35/2.60 % (9320)Instructions burned: 32 (million)
% 9.35/2.60 % (9320)------------------------------
% 9.35/2.60 % (9320)------------------------------
% 9.35/2.61 % (9321)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_8951 for (2988ds/279Mi)
% 9.35/2.64 % (9319)Instruction limit reached!
% 9.35/2.64 % (9319)------------------------------
% 9.35/2.64 % (9319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.64 % (9319)Termination reason: Unknown
% 9.35/2.64 % (9319)Termination phase: Saturation
% 9.35/2.64
% 9.35/2.64 % (9319)Memory used [KB]: 7036
% 9.35/2.64 % (9319)Time elapsed: 0.110 s
% 9.35/2.64 % (9319)Instructions burned: 359 (million)
% 9.35/2.64 % (9319)------------------------------
% 9.35/2.64 % (9319)------------------------------
% 9.35/2.65 % (9322)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_8951 for (2988ds/258Mi)
% 9.35/2.68 % (9321)Instruction limit reached!
% 9.35/2.68 % (9321)------------------------------
% 9.35/2.68 % (9321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.68 % (9321)Termination reason: Unknown
% 9.35/2.68 % (9321)Termination phase: Saturation
% 9.35/2.68
% 9.35/2.68 % (9321)Memory used [KB]: 6396
% 9.35/2.68 % (9321)Time elapsed: 0.068 s
% 9.35/2.68 % (9321)Instructions burned: 279 (million)
% 9.35/2.68 % (9321)------------------------------
% 9.35/2.68 % (9321)------------------------------
% 9.35/2.69 % (9323)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_8951 for (2987ds/26Mi)
% 9.35/2.70 % (9323)Instruction limit reached!
% 9.35/2.70 % (9323)------------------------------
% 9.35/2.70 % (9323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.70 % (9323)Termination reason: Unknown
% 9.35/2.70 % (9323)Termination phase: Property scanning
% 9.35/2.70
% 9.35/2.70 % (9323)Memory used [KB]: 1535
% 9.35/2.70 % (9323)Time elapsed: 0.008 s
% 9.35/2.70 % (9323)Instructions burned: 27 (million)
% 9.35/2.70 % (9323)------------------------------
% 9.35/2.70 % (9323)------------------------------
% 9.58/2.70 % (9324)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_8951 for (2987ds/995Mi)
% 9.58/2.72 % (9322)Instruction limit reached!
% 9.58/2.72 % (9322)------------------------------
% 9.58/2.72 % (9322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/2.72 % (9322)Termination reason: Unknown
% 9.58/2.72 % (9322)Termination phase: Saturation
% 9.58/2.72
% 9.58/2.72 % (9322)Memory used [KB]: 7547
% 9.58/2.72 % (9322)Time elapsed: 0.071 s
% 9.58/2.72 % (9322)Instructions burned: 258 (million)
% 9.58/2.72 % (9322)------------------------------
% 9.58/2.72 % (9322)------------------------------
% 9.58/2.73 % (9325)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_8951 for (2987ds/373Mi)
% 9.66/2.82 % (9313)Instruction limit reached!
% 9.66/2.82 % (9313)------------------------------
% 9.66/2.82 % (9313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.66/2.82 % (9313)Termination reason: Unknown
% 9.66/2.82 % (9313)Termination phase: Saturation
% 9.66/2.82
% 9.66/2.82 % (9313)Memory used [KB]: 8315
% 9.66/2.82 % (9313)Time elapsed: 0.476 s
% 9.66/2.82 % (9313)Instructions burned: 1541 (million)
% 9.66/2.82 % (9313)------------------------------
% 9.66/2.82 % (9313)------------------------------
% 9.66/2.82 % (9326)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_8951 for (2986ds/253Mi)
% 9.66/2.85 % (9325)Instruction limit reached!
% 9.66/2.85 % (9325)------------------------------
% 9.66/2.85 % (9325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.66/2.85 % (9325)Termination reason: Unknown
% 9.66/2.85 % (9325)Termination phase: Saturation
% 9.66/2.85
% 9.66/2.85 % (9325)Memory used [KB]: 7164
% 9.66/2.85 % (9325)Time elapsed: 0.118 s
% 9.66/2.85 % (9325)Instructions burned: 374 (million)
% 9.66/2.85 % (9325)------------------------------
% 9.66/2.85 % (9325)------------------------------
% 9.66/2.86 % (9327)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_8951 for (2985ds/832Mi)
% 9.66/2.89 % (9326)Instruction limit reached!
% 9.66/2.89 % (9326)------------------------------
% 9.66/2.89 % (9326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.66/2.89 % (9326)Termination reason: Unknown
% 9.66/2.89 % (9326)Termination phase: Saturation
% 9.66/2.89
% 9.66/2.89 % (9326)Memory used [KB]: 6268
% 9.66/2.89 % (9326)Time elapsed: 0.062 s
% 9.66/2.89 % (9326)Instructions burned: 254 (million)
% 9.66/2.89 % (9326)------------------------------
% 9.66/2.89 % (9326)------------------------------
% 9.66/2.90 % (9328)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_8951 for (2985ds/668Mi)
% 10.35/2.94 % (9324)Instruction limit reached!
% 10.35/2.94 % (9324)------------------------------
% 10.35/2.94 % (9324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.94 % (9324)Termination reason: Unknown
% 10.35/2.94 % (9324)Termination phase: Saturation
% 10.35/2.94
% 10.35/2.94 % (9324)Memory used [KB]: 7803
% 10.35/2.94 % (9324)Time elapsed: 0.241 s
% 10.35/2.94 % (9324)Instructions burned: 996 (million)
% 10.35/2.94 % (9324)------------------------------
% 10.35/2.94 % (9324)------------------------------
% 10.35/2.95 % (9316)Instruction limit reached!
% 10.35/2.95 % (9316)------------------------------
% 10.35/2.95 % (9316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.95 % (9316)Termination reason: Unknown
% 10.35/2.95 % (9316)Termination phase: Saturation
% 10.35/2.95
% 10.35/2.95 % (9316)Memory used [KB]: 3198
% 10.35/2.95 % (9316)Time elapsed: 0.571 s
% 10.35/2.95 % (9316)Instructions burned: 1915 (million)
% 10.35/2.95 % (9316)------------------------------
% 10.35/2.95 % (9316)------------------------------
% 10.35/2.95 % (9329)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_8951 for (2984ds/40Mi)
% 10.35/2.96 % (9330)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_8951 for (2984ds/294Mi)
% 10.35/2.97 % (9329)Instruction limit reached!
% 10.35/2.97 % (9329)------------------------------
% 10.35/2.97 % (9329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.97 % (9329)Termination reason: Unknown
% 10.35/2.97 % (9329)Termination phase: Property scanning
% 10.35/2.97
% 10.35/2.97 % (9329)Memory used [KB]: 1535
% 10.35/2.97 % (9329)Time elapsed: 0.012 s
% 10.35/2.97 % (9329)Instructions burned: 41 (million)
% 10.35/2.97 % (9329)------------------------------
% 10.35/2.97 % (9329)------------------------------
% 10.35/2.97 % (9331)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_8951 for (2984ds/187Mi)
% 13.49/3.03 % (9331)Instruction limit reached!
% 13.49/3.03 % (9331)------------------------------
% 13.49/3.03 % (9331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.03 % (9331)Termination reason: Unknown
% 13.49/3.03 % (9331)Termination phase: Saturation
% 13.49/3.03
% 13.49/3.03 % (9331)Memory used [KB]: 7036
% 13.49/3.03 % (9331)Time elapsed: 0.057 s
% 13.49/3.03 % (9331)Instructions burned: 187 (million)
% 13.49/3.03 % (9331)------------------------------
% 13.49/3.03 % (9331)------------------------------
% 13.49/3.03 % (9330)Instruction limit reached!
% 13.49/3.03 % (9330)------------------------------
% 13.49/3.03 % (9330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.03 % (9330)Termination reason: Unknown
% 13.49/3.03 % (9330)Termination phase: Saturation
% 13.49/3.03
% 13.49/3.03 % (9330)Memory used [KB]: 6140
% 13.49/3.03 % (9330)Time elapsed: 0.076 s
% 13.49/3.03 % (9330)Instructions burned: 295 (million)
% 13.49/3.03 % (9330)------------------------------
% 13.49/3.03 % (9330)------------------------------
% 13.49/3.04 % (9332)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_8951 for (2984ds/371Mi)
% 13.49/3.04 % (9333)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_8951 for (2984ds/1827Mi)
% 13.49/3.06 % (9328)Instruction limit reached!
% 13.49/3.06 % (9328)------------------------------
% 13.49/3.06 % (9328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.06 % (9328)Termination reason: Unknown
% 13.49/3.06 % (9328)Termination phase: Saturation
% 13.49/3.06
% 13.49/3.06 % (9328)Memory used [KB]: 12281
% 13.49/3.06 % (9328)Time elapsed: 0.165 s
% 13.49/3.06 % (9328)Instructions burned: 669 (million)
% 13.49/3.06 % (9328)------------------------------
% 13.49/3.06 % (9328)------------------------------
% 13.49/3.07 % (9334)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_8951 for (2983ds/70Mi)
% 13.49/3.09 % (9334)Instruction limit reached!
% 13.49/3.09 % (9334)------------------------------
% 13.49/3.09 % (9334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.09 % (9334)Termination reason: Unknown
% 13.49/3.09 % (9334)Termination phase: Saturation
% 13.49/3.09
% 13.49/3.09 % (9334)Memory used [KB]: 1663
% 13.49/3.09 % (9334)Time elapsed: 0.019 s
% 13.49/3.09 % (9334)Instructions burned: 73 (million)
% 13.49/3.09 % (9334)------------------------------
% 13.49/3.09 % (9334)------------------------------
% 13.49/3.10 % (9335)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_8951 for (2983ds/316Mi)
% 13.49/3.11 % (9327)Instruction limit reached!
% 13.49/3.11 % (9327)------------------------------
% 13.49/3.11 % (9327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.49/3.11 % (9327)Termination reason: Unknown
% 13.49/3.11 % (9327)Termination phase: Saturation
% 13.49/3.11
% 13.49/3.11 % (9327)Memory used [KB]: 8443
% 13.49/3.11 % (9327)Time elapsed: 0.258 s
% 13.49/3.11 % (9327)Instructions burned: 832 (million)
% 13.49/3.11 % (9327)------------------------------
% 13.49/3.11 % (9327)------------------------------
% 14.01/3.12 % (9337)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_8951 for (2983ds/932Mi)
% 14.01/3.14 % (9332)Refutation not found, non-redundant clauses discarded% (9332)------------------------------
% 14.01/3.14 % (9332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.01/3.14 % (9332)Termination reason: Refutation not found, non-redundant clauses discarded
% 14.01/3.14
% 14.01/3.14 % (9332)Memory used [KB]: 7164
% 14.01/3.14 % (9332)Time elapsed: 0.125 s
% 14.01/3.14 % (9332)Instructions burned: 342 (million)
% 14.01/3.14 % (9332)------------------------------
% 14.01/3.14 % (9332)------------------------------
% 14.01/3.15 % (9338)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_8951 for (2983ds/4714Mi)
% 14.01/3.18 % (9335)Instruction limit reached!
% 14.01/3.18 % (9335)------------------------------
% 14.01/3.18 % (9335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.01/3.18 % (9335)Termination reason: Unknown
% 14.01/3.18 % (9335)Termination phase: Saturation
% 14.01/3.18
% 14.01/3.18 % (9335)Memory used [KB]: 6780
% 14.01/3.18 % (9335)Time elapsed: 0.081 s
% 14.01/3.18 % (9335)Instructions burned: 319 (million)
% 14.01/3.18 % (9335)------------------------------
% 14.01/3.18 % (9335)------------------------------
% 14.01/3.19 % (9339)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_8951 for (2982ds/8250Mi)
% 14.74/3.35 % (9337)Instruction limit reached!
% 14.74/3.35 % (9337)------------------------------
% 14.74/3.35 % (9337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.74/3.35 % (9337)Termination reason: Unknown
% 14.74/3.35 % (9337)Termination phase: Saturation
% 14.74/3.35
% 14.74/3.35 % (9337)Memory used [KB]: 8315
% 14.74/3.35 % (9337)Time elapsed: 0.251 s
% 14.74/3.35 % (9337)Instructions burned: 932 (million)
% 14.74/3.35 % (9337)------------------------------
% 14.74/3.35 % (9337)------------------------------
% 14.74/3.36 % (9340)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_8951 for (2980ds/770Mi)
% 15.58/3.57 % (9340)Instruction limit reached!
% 15.58/3.57 % (9340)------------------------------
% 15.58/3.57 % (9340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.58/3.57 % (9340)Termination reason: Unknown
% 15.58/3.57 % (9340)Termination phase: Saturation
% 15.58/3.57
% 15.58/3.57 % (9340)Memory used [KB]: 6396
% 15.58/3.57 % (9340)Time elapsed: 0.233 s
% 15.58/3.57 % (9340)Instructions burned: 770 (million)
% 15.58/3.57 % (9340)------------------------------
% 15.58/3.57 % (9340)------------------------------
% 15.58/3.58 % (9341)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_8951 for (2978ds/794Mi)
% 16.09/3.60 % (9333)Instruction limit reached!
% 16.09/3.60 % (9333)------------------------------
% 16.09/3.60 % (9333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.09/3.60 % (9333)Termination reason: Unknown
% 16.09/3.60 % (9333)Termination phase: Saturation
% 16.09/3.60
% 16.09/3.60 % (9333)Memory used [KB]: 14456
% 16.09/3.60 % (9333)Time elapsed: 0.579 s
% 16.09/3.60 % (9333)Instructions burned: 1827 (million)
% 16.09/3.60 % (9333)------------------------------
% 16.09/3.60 % (9333)------------------------------
% 16.09/3.61 % (9342)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_8951 for (2978ds/464Mi)
% 16.09/3.66 % (9315)Instruction limit reached!
% 16.09/3.66 % (9315)------------------------------
% 16.09/3.66 % (9315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.09/3.66 % (9315)Termination reason: Unknown
% 16.09/3.66 % (9315)Termination phase: Saturation
% 16.09/3.66
% 16.09/3.66 % (9315)Memory used [KB]: 11385
% 16.09/3.66 % (9315)Time elapsed: 1.287 s
% 16.09/3.66 % (9315)Instructions burned: 5205 (million)
% 16.09/3.66 % (9315)------------------------------
% 16.09/3.66 % (9315)------------------------------
% 16.09/3.67 % (9343)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_8951 for (2977ds/1376Mi)
% 16.95/3.72 % (9312)Instruction limit reached!
% 16.95/3.72 % (9312)------------------------------
% 16.95/3.72 % (9312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.95/3.72 % (9312)Termination reason: Unknown
% 16.95/3.72 % (9312)Termination phase: Saturation
% 16.95/3.72
% 16.95/3.72 % (9312)Memory used [KB]: 14456
% 16.95/3.72 % (9312)Time elapsed: 1.402 s
% 16.95/3.72 % (9312)Instructions burned: 4437 (million)
% 16.95/3.72 % (9312)------------------------------
% 16.95/3.72 % (9312)------------------------------
% 16.95/3.73 % (9344)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_8951 for (2977ds/906Mi)
% 16.95/3.75 % (9342)Instruction limit reached!
% 16.95/3.75 % (9342)------------------------------
% 16.95/3.75 % (9342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.95/3.75 % (9342)Termination reason: Unknown
% 16.95/3.75 % (9342)Termination phase: Saturation
% 16.95/3.75
% 16.95/3.75 % (9342)Memory used [KB]: 7547
% 16.95/3.75 % (9342)Time elapsed: 0.142 s
% 16.95/3.75 % (9342)Instructions burned: 466 (million)
% 16.95/3.75 % (9342)------------------------------
% 16.95/3.75 % (9342)------------------------------
% 16.95/3.76 % (9345)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_8951 for (2976ds/434Mi)
% 17.23/3.82 % (9317)Instruction limit reached!
% 17.23/3.82 % (9317)------------------------------
% 17.23/3.82 % (9317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.23/3.82 % (9317)Termination reason: Unknown
% 17.23/3.82 % (9317)Termination phase: Saturation
% 17.23/3.82
% 17.23/3.82 % (9317)Memory used [KB]: 10490
% 17.23/3.82 % (9317)Time elapsed: 1.334 s
% 17.23/3.82 % (9317)Instructions burned: 4351 (million)
% 17.23/3.82 % (9317)------------------------------
% 17.23/3.82 % (9317)------------------------------
% 17.23/3.83 % (9346)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_8951 for (2976ds/865Mi)
% 17.23/3.83 % (9341)Instruction limit reached!
% 17.23/3.83 % (9341)------------------------------
% 17.23/3.83 % (9341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.23/3.83 % (9341)Termination reason: Unknown
% 17.23/3.83 % (9341)Termination phase: Saturation
% 17.23/3.83
% 17.23/3.83 % (9341)Memory used [KB]: 3454
% 17.23/3.83 % (9341)Time elapsed: 0.274 s
% 17.23/3.83 % (9341)Instructions burned: 794 (million)
% 17.23/3.83 % (9341)------------------------------
% 17.23/3.83 % (9341)------------------------------
% 17.23/3.84 % (9347)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_8951 for (2976ds/593Mi)
% 17.23/3.89 % (9345)Instruction limit reached!
% 17.23/3.89 % (9345)------------------------------
% 17.23/3.89 % (9345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.23/3.89 % (9345)Termination reason: Unknown
% 17.23/3.89 % (9345)Termination phase: Saturation
% 17.23/3.89
% 17.23/3.89 % (9345)Memory used [KB]: 8571
% 17.23/3.89 % (9345)Time elapsed: 0.134 s
% 17.23/3.89 % (9345)Instructions burned: 435 (million)
% 17.23/3.89 % (9345)------------------------------
% 17.23/3.89 % (9345)------------------------------
% 17.67/3.90 % (9348)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_8951 for (2975ds/443Mi)
% 17.67/3.98 % (9347)Instruction limit reached!
% 17.67/3.98 % (9347)------------------------------
% 17.67/3.98 % (9347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.67/3.98 % (9347)Termination reason: Unknown
% 17.67/3.98 % (9347)Termination phase: Saturation
% 17.67/3.98
% 17.67/3.98 % (9347)Memory used [KB]: 6524
% 17.67/3.98 % (9347)Time elapsed: 0.140 s
% 17.67/3.98 % (9347)Instructions burned: 595 (million)
% 17.67/3.98 % (9347)------------------------------
% 17.67/3.98 % (9347)------------------------------
% 17.67/3.99 % (9349)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_8951 for (2974ds/594Mi)
% 17.67/4.02 % (9343)Instruction limit reached!
% 17.67/4.02 % (9343)------------------------------
% 17.67/4.02 % (9343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.67/4.02 % (9343)Termination reason: Unknown
% 17.67/4.02 % (9343)Termination phase: Saturation
% 17.67/4.02
% 17.67/4.02 % (9343)Memory used [KB]: 7803
% 17.67/4.02 % (9343)Time elapsed: 0.346 s
% 17.67/4.02 % (9343)Instructions burned: 1380 (million)
% 17.67/4.02 % (9343)------------------------------
% 17.67/4.02 % (9343)------------------------------
% 17.67/4.02 % (9344)Instruction limit reached!
% 17.67/4.02 % (9344)------------------------------
% 17.67/4.02 % (9344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.67/4.02 % (9344)Termination reason: Unknown
% 17.67/4.02 % (9344)Termination phase: Saturation
% 17.67/4.02
% 17.67/4.02 % (9344)Memory used [KB]: 8187
% 17.67/4.02 % (9344)Time elapsed: 0.296 s
% 17.67/4.02 % (9344)Instructions burned: 907 (million)
% 17.67/4.02 % (9344)------------------------------
% 17.67/4.02 % (9344)------------------------------
% 20.52/4.03 % (9350)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_8951 for (2974ds/327Mi)
% 20.52/4.03 % (9351)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_8951 for (2974ds/5411Mi)
% 20.52/4.04 % (9348)Instruction limit reached!
% 20.52/4.04 % (9348)------------------------------
% 20.52/4.04 % (9348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.52/4.04 % (9348)Termination reason: Unknown
% 20.52/4.04 % (9348)Termination phase: Saturation
% 20.52/4.04
% 20.52/4.04 % (9348)Memory used [KB]: 7291
% 20.52/4.04 % (9348)Time elapsed: 0.135 s
% 20.52/4.04 % (9348)Instructions burned: 445 (million)
% 20.52/4.04 % (9348)------------------------------
% 20.52/4.04 % (9348)------------------------------
% 20.52/4.04 % (9352)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_8951 for (2974ds/1762Mi)
% 20.52/4.09 % (9338)Instruction limit reached!
% 20.52/4.09 % (9338)------------------------------
% 20.52/4.09 % (9338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.52/4.09 % (9338)Termination reason: Unknown
% 20.52/4.09 % (9338)Termination phase: Saturation
% 20.52/4.09
% 20.52/4.09 % (9338)Memory used [KB]: 6652
% 20.52/4.09 % (9338)Time elapsed: 0.957 s
% 20.52/4.09 % (9338)Instructions burned: 4718 (million)
% 20.52/4.09 % (9338)------------------------------
% 20.52/4.09 % (9338)------------------------------
% 20.52/4.09 % (9346)Instruction limit reached!
% 20.52/4.09 % (9346)------------------------------
% 20.52/4.09 % (9346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.52/4.09 % (9346)Termination reason: Unknown
% 20.52/4.09 % (9346)Termination phase: Saturation
% 20.52/4.09
% 20.52/4.09 % (9346)Memory used [KB]: 7931
% 20.52/4.09 % (9346)Time elapsed: 0.268 s
% 20.52/4.09 % (9346)Instructions burned: 865 (million)
% 20.52/4.09 % (9346)------------------------------
% 20.52/4.09 % (9346)------------------------------
% 20.52/4.10 % (9353)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_8951 for (2973ds/96Mi)
% 20.52/4.10 % (9354)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_8951 for (2973ds/503Mi)
% 20.52/4.12 % (9353)Instruction limit reached!
% 20.52/4.12 % (9353)------------------------------
% 20.52/4.12 % (9353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.52/4.12 % (9353)Termination reason: Unknown
% 20.52/4.12 % (9353)Termination phase: Saturation
% 20.52/4.12
% 20.52/4.12 % (9353)Memory used [KB]: 6140
% 20.52/4.12 % (9353)Time elapsed: 0.026 s
% 20.52/4.12 % (9353)Instructions burned: 98 (million)
% 20.52/4.12 % (9353)------------------------------
% 20.52/4.12 % (9353)------------------------------
% 20.96/4.13 % (9355)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_8951 for (2973ds/90Mi)
% 20.96/4.13 % (9350)Instruction limit reached!
% 20.96/4.13 % (9350)------------------------------
% 20.96/4.13 % (9350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.96/4.13 % (9350)Termination reason: Unknown
% 20.96/4.13 % (9350)Termination phase: Saturation
% 20.96/4.13
% 20.96/4.13 % (9350)Memory used [KB]: 8699
% 20.96/4.13 % (9350)Time elapsed: 0.106 s
% 20.96/4.13 % (9350)Instructions burned: 329 (million)
% 20.96/4.13 % (9350)------------------------------
% 20.96/4.13 % (9350)------------------------------
% 20.96/4.14 % (9356)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_8951 for (2973ds/593Mi)
% 20.96/4.15 % (9355)Instruction limit reached!
% 20.96/4.15 % (9355)------------------------------
% 20.96/4.15 % (9355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.96/4.15 % (9355)Termination reason: Unknown
% 20.96/4.15 % (9355)Termination phase: Saturation
% 20.96/4.15
% 20.96/4.15 % (9355)Memory used [KB]: 6524
% 20.96/4.15 % (9355)Time elapsed: 0.026 s
% 20.96/4.15 % (9355)Instructions burned: 90 (million)
% 20.96/4.15 % (9355)------------------------------
% 20.96/4.15 % (9355)------------------------------
% 20.96/4.16 % (9357)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_8951 for (2972ds/1512Mi)
% 20.96/4.17 % (9349)Instruction limit reached!
% 20.96/4.17 % (9349)------------------------------
% 20.96/4.17 % (9349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.96/4.17 % (9349)Termination reason: Unknown
% 20.96/4.17 % (9349)Termination phase: Saturation
% 20.96/4.17
% 20.96/4.17 % (9349)Memory used [KB]: 7291
% 20.96/4.17 % (9349)Time elapsed: 0.180 s
% 20.96/4.17 % (9349)Instructions burned: 595 (million)
% 20.96/4.17 % (9349)------------------------------
% 20.96/4.17 % (9349)------------------------------
% 20.96/4.18 % (9358)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_8951 for (2972ds/569Mi)
% 21.23/4.26 % (9354)Instruction limit reached!
% 21.23/4.26 % (9354)------------------------------
% 21.23/4.26 % (9354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.23/4.26 % (9354)Termination reason: Unknown
% 21.23/4.26 % (9354)Termination phase: Saturation
% 21.23/4.26
% 21.23/4.26 % (9354)Memory used [KB]: 7164
% 21.23/4.26 % (9354)Time elapsed: 0.155 s
% 21.23/4.26 % (9354)Instructions burned: 506 (million)
% 21.23/4.26 % (9354)------------------------------
% 21.23/4.26 % (9354)------------------------------
% 21.23/4.27 % (9359)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_8951 for (2971ds/501Mi)
% 21.49/4.32 % (9358)Instruction limit reached!
% 21.49/4.32 % (9358)------------------------------
% 21.49/4.32 % (9358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.32 % (9358)Termination reason: Unknown
% 21.49/4.32 % (9358)Termination phase: Saturation
% 21.49/4.32
% 21.49/4.32 % (9358)Memory used [KB]: 7675
% 21.49/4.32 % (9358)Time elapsed: 0.162 s
% 21.49/4.32 % (9358)Instructions burned: 570 (million)
% 21.49/4.32 % (9358)------------------------------
% 21.49/4.32 % (9358)------------------------------
% 21.49/4.32 % (9356)Instruction limit reached!
% 21.49/4.32 % (9356)------------------------------
% 21.49/4.32 % (9356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.32 % (9356)Termination reason: Unknown
% 21.49/4.32 % (9356)Termination phase: Saturation
% 21.49/4.32
% 21.49/4.32 % (9356)Memory used [KB]: 7419
% 21.49/4.32 % (9356)Time elapsed: 0.181 s
% 21.49/4.32 % (9356)Instructions burned: 593 (million)
% 21.49/4.32 % (9356)------------------------------
% 21.49/4.32 % (9356)------------------------------
% 21.49/4.33 % (9360)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_8951 for (2971ds/562Mi)
% 21.49/4.33 % (9361)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_8951 for (2971ds/406Mi)
% 21.49/4.38 % (9361)Refutation not found, incomplete strategy
% 21.49/4.38 % (9361)------------------------------
% 21.49/4.38 % (9361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.38 % (9361)Termination reason: Refutation not found, incomplete strategy
% 21.49/4.38
% 21.49/4.38
% 21.49/4.38 % (9361)Memory used [KB]: 6396
% 21.49/4.38 % (9361)Time elapsed: 0.047 s
% 21.49/4.38 % (9361)Instructions burned: 161 (million)
% 21.49/4.38 % (9361)------------------------------
% 21.49/4.38 % (9361)------------------------------
% 21.49/4.39 % (9362)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_8951 for (2970ds/582Mi)
% 21.99/4.42 % (9359)Instruction limit reached!
% 21.99/4.42 % (9359)------------------------------
% 21.99/4.42 % (9359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.99/4.42 % (9359)Termination reason: Unknown
% 21.99/4.42 % (9359)Termination phase: Saturation
% 21.99/4.42
% 21.99/4.42 % (9359)Memory used [KB]: 8443
% 21.99/4.42 % (9359)Time elapsed: 0.156 s
% 21.99/4.42 % (9359)Instructions burned: 501 (million)
% 21.99/4.42 % (9359)------------------------------
% 21.99/4.42 % (9359)------------------------------
% 21.99/4.43 % (9363)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_8951 for (2970ds/456Mi)
% 21.99/4.47 % (9357)Instruction limit reached!
% 21.99/4.47 % (9357)------------------------------
% 21.99/4.47 % (9357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.99/4.47 % (9357)Termination reason: Unknown
% 21.99/4.47 % (9357)Termination phase: Saturation
% 21.99/4.47
% 21.99/4.47 % (9357)Memory used [KB]: 7803
% 21.99/4.47 % (9357)Time elapsed: 0.309 s
% 21.99/4.47 % (9357)Instructions burned: 1515 (million)
% 21.99/4.47 % (9357)------------------------------
% 21.99/4.47 % (9357)------------------------------
% 21.99/4.48 % (9360)Instruction limit reached!
% 21.99/4.48 % (9360)------------------------------
% 21.99/4.48 % (9360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.99/4.48 % (9360)Termination reason: Unknown
% 21.99/4.48 % (9360)Termination phase: Saturation
% 21.99/4.48
% 21.99/4.48 % (9360)Memory used [KB]: 6780
% 21.99/4.48 % (9360)Time elapsed: 0.151 s
% 21.99/4.48 % (9360)Instructions burned: 565 (million)
% 21.99/4.48 % (9360)------------------------------
% 21.99/4.48 % (9360)------------------------------
% 21.99/4.48 % (9364)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_8951 for (2969ds/393Mi)
% 21.99/4.49 % (9365)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_8951 for (2969ds/1335Mi)
% 21.99/4.49 % (9352)Instruction limit reached!
% 21.99/4.49 % (9352)------------------------------
% 21.99/4.49 % (9352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.99/4.49 % (9352)Termination reason: Unknown
% 21.99/4.49 % (9352)Termination phase: Saturation
% 21.99/4.49
% 21.99/4.49 % (9352)Memory used [KB]: 9083
% 21.99/4.49 % (9352)Time elapsed: 0.445 s
% 21.99/4.49 % (9352)Instructions burned: 1765 (million)
% 21.99/4.49 % (9352)------------------------------
% 21.99/4.49 % (9352)------------------------------
% 23.19/4.50 % (9366)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_8951 for (2969ds/3373Mi)
% 23.19/4.57 % (9363)Instruction limit reached!
% 23.19/4.57 % (9363)------------------------------
% 23.19/4.57 % (9363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.19/4.57 % (9363)Termination reason: Unknown
% 23.19/4.57 % (9363)Termination phase: Saturation
% 23.19/4.57
% 23.19/4.57 % (9363)Memory used [KB]: 7291
% 23.19/4.57 % (9363)Time elapsed: 0.142 s
% 23.19/4.57 % (9363)Instructions burned: 456 (million)
% 23.19/4.57 % (9363)------------------------------
% 23.19/4.57 % (9363)------------------------------
% 23.19/4.57 % (9362)Instruction limit reached!
% 23.19/4.57 % (9362)------------------------------
% 23.19/4.57 % (9362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.19/4.57 % (9362)Termination reason: Unknown
% 23.19/4.57 % (9362)Termination phase: Saturation
% 23.19/4.57
% 23.19/4.57 % (9362)Memory used [KB]: 8443
% 23.19/4.57 % (9362)Time elapsed: 0.187 s
% 23.19/4.57 % (9362)Instructions burned: 583 (million)
% 23.19/4.57 % (9362)------------------------------
% 23.19/4.57 % (9362)------------------------------
% 23.19/4.58 % (9367)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_8951 for (2968ds/474Mi)
% 23.19/4.59 % (9368)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_8951 for (2968ds/157Mi)
% 23.19/4.60 % (9364)Instruction limit reached!
% 23.19/4.60 % (9364)------------------------------
% 23.19/4.60 % (9364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.19/4.60 % (9364)Termination reason: Unknown
% 23.19/4.60 % (9364)Termination phase: Saturation
% 23.19/4.60
% 23.19/4.60 % (9364)Memory used [KB]: 7803
% 23.19/4.60 % (9364)Time elapsed: 0.116 s
% 23.19/4.60 % (9364)Instructions burned: 395 (million)
% 23.19/4.60 % (9364)------------------------------
% 23.19/4.60 % (9364)------------------------------
% 23.63/4.61 % (9369)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_8951 for (2968ds/590Mi)
% 23.63/4.66 % (9368)Instruction limit reached!
% 23.63/4.66 % (9368)------------------------------
% 23.63/4.66 % (9368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.63/4.66 % (9368)Termination reason: Unknown
% 23.63/4.66 % (9368)Termination phase: Saturation
% 23.63/4.66
% 23.63/4.66 % (9368)Memory used [KB]: 6140
% 23.63/4.66 % (9368)Time elapsed: 0.075 s
% 23.63/4.66 % (9368)Instructions burned: 158 (million)
% 23.63/4.66 % (9368)------------------------------
% 23.63/4.66 % (9368)------------------------------
% 23.63/4.68 % (9370)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_8951 for (2967ds/104Mi)
% 23.63/4.69 % (9367)Instruction limit reached!
% 23.63/4.69 % (9367)------------------------------
% 23.63/4.69 % (9367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.63/4.69 % (9367)Termination reason: Unknown
% 23.63/4.69 % (9367)Termination phase: Saturation
% 23.63/4.69
% 23.63/4.69 % (9367)Memory used [KB]: 7675
% 23.63/4.69 % (9367)Time elapsed: 0.113 s
% 23.63/4.69 % (9367)Instructions burned: 476 (million)
% 23.63/4.69 % (9367)------------------------------
% 23.63/4.69 % (9367)------------------------------
% 24.07/4.70 % (9371)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_8951 for (2967ds/414Mi)
% 24.07/4.71 % (9370)Instruction limit reached!
% 24.07/4.71 % (9370)------------------------------
% 24.07/4.71 % (9370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.07/4.71 % (9370)Termination reason: Unknown
% 24.07/4.71 % (9370)Termination phase: Saturation
% 24.07/4.71
% 24.07/4.71 % (9370)Memory used [KB]: 6652
% 24.07/4.71 % (9370)Time elapsed: 0.035 s
% 24.07/4.71 % (9370)Instructions burned: 105 (million)
% 24.07/4.71 % (9370)------------------------------
% 24.07/4.71 % (9370)------------------------------
% 24.07/4.72 % (9372)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_8951 for (2967ds/715Mi)
% 24.07/4.78 % (9369)Instruction limit reached!
% 24.07/4.78 % (9369)------------------------------
% 24.07/4.78 % (9369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.07/4.78 % (9369)Termination reason: Unknown
% 24.07/4.78 % (9369)Termination phase: Saturation
% 24.07/4.78
% 24.07/4.78 % (9369)Memory used [KB]: 8955
% 24.07/4.78 % (9369)Time elapsed: 0.175 s
% 24.07/4.78 % (9369)Instructions burned: 592 (million)
% 24.07/4.78 % (9369)------------------------------
% 24.07/4.78 % (9369)------------------------------
% 24.07/4.79 % (9373)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_8951 for (2966ds/961Mi)
% 24.40/4.80 % (9371)Instruction limit reached!
% 24.40/4.80 % (9371)------------------------------
% 24.40/4.80 % (9371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.40/4.80 % (9371)Termination reason: Unknown
% 24.40/4.80 % (9371)Termination phase: Saturation
% 24.40/4.80
% 24.40/4.80 % (9371)Memory used [KB]: 6140
% 24.40/4.80 % (9371)Time elapsed: 0.099 s
% 24.40/4.80 % (9371)Instructions burned: 415 (million)
% 24.40/4.80 % (9371)------------------------------
% 24.40/4.80 % (9371)------------------------------
% 24.40/4.81 % (9374)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_8951 for (2966ds/1213Mi)
% 24.40/4.89 % (9365)Instruction limit reached!
% 24.40/4.89 % (9365)------------------------------
% 24.40/4.89 % (9365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.40/4.89 % (9365)Termination reason: Unknown
% 24.40/4.89 % (9365)Termination phase: Saturation
% 24.40/4.89
% 24.40/4.89 % (9365)Memory used [KB]: 7547
% 24.40/4.89 % (9365)Time elapsed: 0.406 s
% 24.40/4.89 % (9365)Instructions burned: 1336 (million)
% 24.40/4.89 % (9365)------------------------------
% 24.40/4.89 % (9365)------------------------------
% 25.04/4.90 % (9375)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_8951 for (2965ds/1979Mi)
% 25.04/4.96 % (9372)Instruction limit reached!
% 25.04/4.96 % (9372)------------------------------
% 25.04/4.96 % (9372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.04/4.96 % (9372)Termination reason: Unknown
% 25.04/4.96 % (9372)Termination phase: Saturation
% 25.04/4.96
% 25.04/4.96 % (9372)Memory used [KB]: 3070
% 25.04/4.96 % (9372)Time elapsed: 0.239 s
% 25.04/4.96 % (9372)Instructions burned: 716 (million)
% 25.04/4.96 % (9372)------------------------------
% 25.04/4.96 % (9372)------------------------------
% 25.04/4.97 % (9376)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_8951 for (2964ds/481Mi)
% 27.47/5.09 % (9373)Instruction limit reached!
% 27.47/5.09 % (9373)------------------------------
% 27.47/5.09 % (9373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.47/5.09 % (9373)Termination reason: Unknown
% 27.47/5.09 % (9373)Termination phase: Saturation
% 27.47/5.09
% 27.47/5.09 % (9373)Memory used [KB]: 7675
% 27.47/5.09 % (9373)Time elapsed: 0.300 s
% 27.47/5.09 % (9373)Instructions burned: 963 (million)
% 27.47/5.09 % (9373)------------------------------
% 27.47/5.09 % (9373)------------------------------
% 27.47/5.10 % (9377)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_8951 for (2963ds/783Mi)
% 28.16/5.15 % (9376)Instruction limit reached!
% 28.16/5.15 % (9376)------------------------------
% 28.16/5.15 % (9376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.16/5.15 % (9376)Termination reason: Unknown
% 28.16/5.15 % (9376)Termination phase: Saturation
% 28.16/5.15
% 28.16/5.15 % (9376)Memory used [KB]: 7675
% 28.16/5.15 % (9376)Time elapsed: 0.173 s
% 28.16/5.15 % (9376)Instructions burned: 484 (million)
% 28.16/5.15 % (9376)------------------------------
% 28.16/5.15 % (9376)------------------------------
% 28.16/5.16 % (9378)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_8951 for (2962ds/432Mi)
% 28.16/5.18 % (9374)Instruction limit reached!
% 28.16/5.18 % (9374)------------------------------
% 28.16/5.18 % (9374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.16/5.18 % (9374)Termination reason: Unknown
% 28.16/5.18 % (9374)Termination phase: Saturation
% 28.16/5.18
% 28.16/5.18 % (9374)Memory used [KB]: 10362
% 28.16/5.18 % (9374)Time elapsed: 0.374 s
% 28.16/5.18 % (9374)Instructions burned: 1214 (million)
% 28.16/5.18 % (9374)------------------------------
% 28.16/5.18 % (9374)------------------------------
% 28.16/5.19 % (9379)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_8951 for (2962ds/1670Mi)
% 28.63/5.29 % (9378)Instruction limit reached!
% 28.63/5.29 % (9378)------------------------------
% 28.63/5.29 % (9378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.63/5.29 % (9378)Termination reason: Unknown
% 28.63/5.29 % (9378)Termination phase: Saturation
% 28.63/5.29
% 28.63/5.29 % (9378)Memory used [KB]: 7419
% 28.63/5.29 % (9378)Time elapsed: 0.129 s
% 28.63/5.29 % (9378)Instructions burned: 433 (million)
% 28.63/5.29 % (9378)------------------------------
% 28.63/5.29 % (9378)------------------------------
% 28.63/5.30 % (9380)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_8951 for (2961ds/90Mi)
% 29.17/5.32 % (9380)Instruction limit reached!
% 29.17/5.32 % (9380)------------------------------
% 29.17/5.32 % (9380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.17/5.32 % (9380)Termination reason: Unknown
% 29.17/5.32 % (9380)Termination phase: Saturation
% 29.17/5.32
% 29.17/5.32 % (9380)Memory used [KB]: 6524
% 29.17/5.32 % (9380)Time elapsed: 0.025 s
% 29.17/5.32 % (9380)Instructions burned: 92 (million)
% 29.17/5.32 % (9380)------------------------------
% 29.17/5.32 % (9380)------------------------------
% 29.17/5.33 % (9381)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_8951 for (2961ds/346Mi)
% 29.17/5.34 % (9377)Instruction limit reached!
% 29.17/5.34 % (9377)------------------------------
% 29.17/5.34 % (9377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.17/5.34 % (9377)Termination reason: Unknown
% 29.17/5.34 % (9377)Termination phase: Saturation
% 29.17/5.34
% 29.17/5.34 % (9377)Memory used [KB]: 9083
% 29.17/5.34 % (9377)Time elapsed: 0.247 s
% 29.17/5.34 % (9377)Instructions burned: 785 (million)
% 29.17/5.34 % (9377)------------------------------
% 29.17/5.34 % (9377)------------------------------
% 29.17/5.35 % (9382)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_8951 for (2960ds/401Mi)
% 29.86/5.41 % (9381)Instruction limit reached!
% 29.86/5.41 % (9381)------------------------------
% 29.86/5.41 % (9381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.86/5.41 % (9381)Termination reason: Unknown
% 29.86/5.41 % (9381)Termination phase: Saturation
% 29.86/5.41
% 29.86/5.41 % (9381)Memory used [KB]: 7675
% 29.86/5.41 % (9381)Time elapsed: 0.084 s
% 29.86/5.41 % (9381)Instructions burned: 348 (million)
% 29.86/5.41 % (9381)------------------------------
% 29.86/5.41 % (9381)------------------------------
% 29.86/5.42 % (9383)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_8951 for (2960ds/6454Mi)
% 29.86/5.45 % (9382)Instruction limit reached!
% 29.86/5.45 % (9382)------------------------------
% 29.86/5.45 % (9382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.86/5.45 % (9382)Termination reason: Unknown
% 29.86/5.45 % (9382)Termination phase: Saturation
% 29.86/5.45
% 29.86/5.45 % (9382)Memory used [KB]: 6396
% 29.86/5.45 % (9382)Time elapsed: 0.094 s
% 29.86/5.45 % (9382)Instructions burned: 402 (million)
% 29.86/5.45 % (9382)------------------------------
% 29.86/5.45 % (9382)------------------------------
% 29.86/5.46 % (9384)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_8951 for (2959ds/283Mi)
% 30.45/5.51 % (9375)Instruction limit reached!
% 30.45/5.51 % (9375)------------------------------
% 30.45/5.51 % (9375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.45/5.51 % (9375)Termination reason: Unknown
% 30.45/5.51 % (9375)Termination phase: Saturation
% 30.45/5.51
% 30.45/5.51 % (9375)Memory used [KB]: 8315
% 30.45/5.51 % (9375)Time elapsed: 0.611 s
% 30.45/5.51 % (9375)Instructions burned: 1980 (million)
% 30.45/5.51 % (9375)------------------------------
% 30.45/5.51 % (9375)------------------------------
% 30.45/5.52 % (9385)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_8951 for (2959ds/865Mi)
% 30.45/5.53 % (9366)Instruction limit reached!
% 30.45/5.53 % (9366)------------------------------
% 30.45/5.53 % (9366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.45/5.53 % (9366)Termination reason: Unknown
% 30.45/5.53 % (9366)Termination phase: Saturation
% 30.45/5.53
% 30.45/5.53 % (9366)Memory used [KB]: 12153
% 30.45/5.53 % (9366)Time elapsed: 1.031 s
% 30.45/5.53 % (9366)Instructions burned: 3373 (million)
% 30.45/5.53 % (9366)------------------------------
% 30.45/5.53 % (9366)------------------------------
% 30.45/5.54 % (9386)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_8951 for (2959ds/4528Mi)
% 30.45/5.55 % (9384)Instruction limit reached!
% 30.45/5.55 % (9384)------------------------------
% 30.45/5.55 % (9384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.45/5.55 % (9384)Termination reason: Unknown
% 30.45/5.55 % (9384)Termination phase: Saturation
% 30.45/5.55
% 30.45/5.55 % (9384)Memory used [KB]: 7164
% 30.45/5.55 % (9384)Time elapsed: 0.090 s
% 30.45/5.55 % (9384)Instructions burned: 286 (million)
% 30.45/5.55 % (9384)------------------------------
% 30.45/5.55 % (9384)------------------------------
% 30.45/5.55 % (9387)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_8951 for (2958ds/1001Mi)
% 30.45/5.57 % (9386)Refutation not found, incomplete strategy
% 30.45/5.57 % (9386)------------------------------
% 30.45/5.57 % (9386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.45/5.57 % (9386)Termination reason: Refutation not found, incomplete strategy
% 30.45/5.57
% 30.45/5.57
% 30.45/5.57 % (9386)Memory used [KB]: 1663
% 30.45/5.57 % (9386)Time elapsed: 0.032 s
% 30.45/5.57 % (9386)Instructions burned: 116 (million)
% 30.45/5.57 % (9386)------------------------------
% 30.45/5.57 % (9386)------------------------------
% 30.45/5.58 % (9388)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_8951 for (2958ds/102Mi)
% 30.86/5.61 % (9388)Instruction limit reached!
% 30.86/5.61 % (9388)------------------------------
% 30.86/5.61 % (9388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.86/5.61 % (9388)Termination reason: Unknown
% 30.86/5.61 % (9388)Termination phase: Saturation
% 30.86/5.61
% 30.86/5.61 % (9388)Memory used [KB]: 6268
% 30.86/5.61 % (9388)Time elapsed: 0.029 s
% 30.86/5.61 % (9388)Instructions burned: 103 (million)
% 30.86/5.61 % (9388)------------------------------
% 30.86/5.61 % (9388)------------------------------
% 30.86/5.62 % (9379)Instruction limit reached!
% 30.86/5.62 % (9379)------------------------------
% 30.86/5.62 % (9379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.86/5.62 % (9379)Termination reason: Unknown
% 30.86/5.62 % (9379)Termination phase: Saturation
% 30.86/5.62
% 30.86/5.62 % (9379)Memory used [KB]: 8699
% 30.86/5.62 % (9379)Time elapsed: 0.424 s
% 30.86/5.62 % (9379)Instructions burned: 1670 (million)
% 30.86/5.62 % (9379)------------------------------
% 30.86/5.62 % (9379)------------------------------
% 30.86/5.62 % (9389)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_8951 for (2958ds/952Mi)
% 30.86/5.63 % (9390)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_8951 for (2958ds/578Mi)
% 31.53/5.72 % (9351)Instruction limit reached!
% 31.53/5.72 % (9351)------------------------------
% 31.53/5.72 % (9351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.53/5.72 % (9351)Termination reason: Unknown
% 31.53/5.72 % (9351)Termination phase: Saturation
% 31.53/5.72
% 31.53/5.72 % (9351)Memory used [KB]: 14072
% 31.53/5.72 % (9351)Time elapsed: 1.683 s
% 31.53/5.72 % (9351)Instructions burned: 5411 (million)
% 31.53/5.72 % (9351)------------------------------
% 31.53/5.72 % (9351)------------------------------
% 31.53/5.73 % (9391)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_8951 for (2957ds/643Mi)
% 31.53/5.77 % (9390)Instruction limit reached!
% 31.53/5.77 % (9390)------------------------------
% 31.53/5.77 % (9390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.53/5.77 % (9390)Termination reason: Unknown
% 31.53/5.77 % (9390)Termination phase: Saturation
% 31.53/5.77
% 31.53/5.77 % (9390)Memory used [KB]: 7547
% 31.53/5.77 % (9390)Time elapsed: 0.142 s
% 31.53/5.77 % (9390)Instructions burned: 580 (million)
% 31.53/5.77 % (9390)------------------------------
% 31.53/5.77 % (9390)------------------------------
% 31.53/5.77 % (9339)Instruction limit reached!
% 31.53/5.77 % (9339)------------------------------
% 31.53/5.77 % (9339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.53/5.77 % (9339)Termination reason: Unknown
% 31.53/5.77 % (9339)Termination phase: Saturation
% 31.53/5.77
% 31.53/5.77 % (9339)Memory used [KB]: 26993
% 31.53/5.77 % (9339)Time elapsed: 2.607 s
% 31.53/5.77 % (9339)Instructions burned: 8250 (million)
% 31.53/5.77 % (9339)------------------------------
% 31.53/5.77 % (9339)------------------------------
% 31.53/5.78 % (9387)Instruction limit reached!
% 31.53/5.78 % (9387)------------------------------
% 31.53/5.78 % (9387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.53/5.78 % (9387)Termination reason: Unknown
% 31.53/5.78 % (9387)Termination phase: Saturation
% 31.53/5.78
% 31.53/5.78 % (9387)Memory used [KB]: 7547
% 31.53/5.78 % (9387)Time elapsed: 0.223 s
% 31.53/5.78 % (9387)Instructions burned: 1002 (million)
% 31.53/5.78 % (9387)------------------------------
% 31.53/5.78 % (9387)------------------------------
% 31.53/5.78 % (9392)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_8951 for (2956ds/865Mi)
% 31.53/5.78 % (9393)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_8951 for (2956ds/1174Mi)
% 31.53/5.78 % (9385)Instruction limit reached!
% 31.53/5.78 % (9385)------------------------------
% 31.53/5.78 % (9385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.53/5.78 % (9385)Termination reason: Unknown
% 31.53/5.78 % (9385)Termination phase: Saturation
% 31.53/5.78
% 31.53/5.78 % (9385)Memory used [KB]: 7419
% 31.53/5.78 % (9385)Time elapsed: 0.261 s
% 31.53/5.78 % (9385)Instructions burned: 867 (million)
% 31.53/5.78 % (9385)------------------------------
% 31.53/5.78 % (9385)------------------------------
% 31.53/5.79 % (9394)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_8951 for (2956ds/644Mi)
% 31.53/5.79 % (9395)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_8951 for (2956ds/1201Mi)
% 32.29/5.88 % (9391)Instruction limit reached!
% 32.29/5.88 % (9391)------------------------------
% 32.29/5.88 % (9391)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.29/5.88 % (9391)Termination reason: Unknown
% 32.29/5.88 % (9391)Termination phase: Saturation
% 32.29/5.88
% 32.29/5.88 % (9391)Memory used [KB]: 7675
% 32.29/5.88 % (9391)Time elapsed: 0.155 s
% 32.29/5.88 % (9391)Instructions burned: 646 (million)
% 32.29/5.88 % (9391)------------------------------
% 32.29/5.88 % (9391)------------------------------
% 32.29/5.89 % (9396)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_8951 for (2955ds/1046Mi)
% 32.45/5.91 % (9389)Instruction limit reached!
% 32.45/5.91 % (9389)------------------------------
% 32.45/5.91 % (9389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.45/5.91 % (9389)Termination reason: Unknown
% 32.45/5.91 % (9389)Termination phase: Saturation
% 32.45/5.91
% 32.45/5.91 % (9389)Memory used [KB]: 8187
% 32.45/5.91 % (9389)Time elapsed: 0.294 s
% 32.45/5.91 % (9389)Instructions burned: 954 (million)
% 32.45/5.91 % (9389)------------------------------
% 32.45/5.91 % (9389)------------------------------
% 32.45/5.92 % (9397)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_8951 for (2955ds/222Mi)
% 32.45/5.97 % (9397)Instruction limit reached!
% 32.45/5.97 % (9397)------------------------------
% 32.45/5.97 % (9397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.45/5.97 % (9397)Termination reason: Unknown
% 32.45/5.97 % (9397)Termination phase: Saturation
% 32.45/5.97
% 32.45/5.97 % (9397)Memory used [KB]: 6140
% 32.45/5.97 % (9397)Time elapsed: 0.054 s
% 32.45/5.97 % (9397)Instructions burned: 226 (million)
% 32.45/5.97 % (9397)------------------------------
% 32.45/5.97 % (9397)------------------------------
% 32.45/5.98 % (9398)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_8951 for (2954ds/68Mi)
% 32.45/5.98 % (9394)Instruction limit reached!
% 32.45/5.98 % (9394)------------------------------
% 32.45/5.98 % (9394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.45/5.98 % (9394)Termination reason: Unknown
% 32.45/5.98 % (9394)Termination phase: Saturation
% 32.45/5.98
% 32.45/5.98 % (9394)Memory used [KB]: 6908
% 32.45/5.98 % (9394)Time elapsed: 0.199 s
% 32.45/5.98 % (9394)Instructions burned: 645 (million)
% 32.45/5.98 % (9394)------------------------------
% 32.45/5.98 % (9394)------------------------------
% 32.45/5.99 % (9399)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_8951 for (2954ds/454Mi)
% 32.45/6.00 % (9398)Instruction limit reached!
% 32.45/6.00 % (9398)------------------------------
% 32.45/6.00 % (9398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.45/6.00 % (9398)Termination reason: Unknown
% 32.45/6.00 % (9398)Termination phase: Saturation
% 32.45/6.00
% 32.45/6.00 % (9398)Memory used [KB]: 6268
% 32.45/6.00 % (9398)Time elapsed: 0.019 s
% 32.45/6.00 % (9398)Instructions burned: 70 (million)
% 32.45/6.00 % (9398)------------------------------
% 32.45/6.00 % (9398)------------------------------
% 32.45/6.01 % (9400)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_8951 for (2954ds/360Mi)
% 32.45/6.01 % (9392)Instruction limit reached!
% 32.45/6.01 % (9392)------------------------------
% 32.45/6.01 % (9392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.45/6.01 % (9392)Termination reason: Unknown
% 32.45/6.01 % (9392)Termination phase: Saturation
% 32.45/6.01
% 32.45/6.01 % (9392)Memory used [KB]: 6524
% 32.45/6.01 % (9392)Time elapsed: 0.237 s
% 32.45/6.01 % (9392)Instructions burned: 865 (million)
% 32.45/6.01 % (9392)------------------------------
% 32.45/6.01 % (9392)------------------------------
% 32.45/6.02 % (9401)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_8951 for (2954ds/157Mi)
% 34.53/6.06 % (9401)Instruction limit reached!
% 34.53/6.06 % (9401)------------------------------
% 34.53/6.06 % (9401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.53/6.06 % (9401)Termination reason: Unknown
% 34.53/6.06 % (9401)Termination phase: Saturation
% 34.53/6.06
% 34.53/6.06 % (9401)Memory used [KB]: 6140
% 34.53/6.06 % (9401)Time elapsed: 0.040 s
% 34.53/6.06 % (9401)Instructions burned: 160 (million)
% 34.53/6.06 % (9401)------------------------------
% 34.53/6.06 % (9401)------------------------------
% 34.53/6.07 % (9402)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_8951 for (2953ds/5061Mi)
% 34.53/6.09 % (9400)Instruction limit reached!
% 34.53/6.09 % (9400)------------------------------
% 34.53/6.09 % (9400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.53/6.09 % (9400)Termination reason: Unknown
% 34.53/6.09 % (9400)Termination phase: Saturation
% 34.53/6.09
% 34.53/6.09 % (9400)Memory used [KB]: 6268
% 34.53/6.09 % (9400)Time elapsed: 0.085 s
% 34.53/6.09 % (9400)Instructions burned: 363 (million)
% 34.53/6.09 % (9400)------------------------------
% 34.53/6.09 % (9400)------------------------------
% 34.53/6.10 % (9403)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_8951 for (2953ds/2401Mi)
% 34.53/6.10 % (9399)Instruction limit reached!
% 34.53/6.10 % (9399)------------------------------
% 34.53/6.10 % (9399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.53/6.10 % (9399)Termination reason: Unknown
% 34.53/6.10 % (9399)Termination phase: Saturation
% 34.53/6.10
% 34.53/6.10 % (9399)Memory used [KB]: 12281
% 34.53/6.10 % (9399)Time elapsed: 0.111 s
% 34.53/6.10 % (9399)Instructions burned: 456 (million)
% 34.53/6.10 % (9399)------------------------------
% 34.53/6.10 % (9399)------------------------------
% 34.53/6.11 % (9404)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_8951 for (2953ds/5798Mi)
% 35.20/6.13 % (9393)Instruction limit reached!
% 35.20/6.13 % (9393)------------------------------
% 35.20/6.13 % (9393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.20/6.13 % (9393)Termination reason: Unknown
% 35.20/6.13 % (9393)Termination phase: Saturation
% 35.20/6.13
% 35.20/6.13 % (9393)Memory used [KB]: 8059
% 35.20/6.13 % (9393)Time elapsed: 0.356 s
% 35.20/6.13 % (9393)Instructions burned: 1175 (million)
% 35.20/6.13 % (9393)------------------------------
% 35.20/6.13 % (9393)------------------------------
% 35.20/6.14 % (9405)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_8951 for (2953ds/346Mi)
% 35.20/6.16 % (9395)Instruction limit reached!
% 35.20/6.16 % (9395)------------------------------
% 35.20/6.16 % (9395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.20/6.16 % (9395)Termination reason: Unknown
% 35.20/6.16 % (9395)Termination phase: Saturation
% 35.20/6.16
% 35.20/6.16 % (9395)Memory used [KB]: 9083
% 35.20/6.16 % (9395)Time elapsed: 0.367 s
% 35.20/6.16 % (9395)Instructions burned: 1201 (million)
% 35.20/6.16 % (9395)------------------------------
% 35.20/6.16 % (9395)------------------------------
% 35.20/6.16 % (9396)Instruction limit reached!
% 35.20/6.16 % (9396)------------------------------
% 35.20/6.16 % (9396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.20/6.16 % (9396)Termination reason: Unknown
% 35.20/6.16 % (9396)Termination phase: Saturation
% 35.20/6.16
% 35.20/6.16 % (9396)Memory used [KB]: 7291
% 35.20/6.16 % (9396)Time elapsed: 0.273 s
% 35.20/6.16 % (9396)Instructions burned: 1048 (million)
% 35.20/6.16 % (9396)------------------------------
% 35.20/6.16 % (9396)------------------------------
% 35.20/6.17 % (9406)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_8951 for (2952ds/1321Mi)
% 35.20/6.17 % (9407)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_8951 for (2952ds/1312Mi)
% 35.37/6.23 % (9405)Instruction limit reached!
% 35.37/6.23 % (9405)------------------------------
% 35.37/6.23 % (9405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.37/6.23 % (9405)Termination reason: Unknown
% 35.37/6.23 % (9405)Termination phase: Saturation
% 35.37/6.23
% 35.37/6.23 % (9405)Memory used [KB]: 7675
% 35.37/6.23 % (9405)Time elapsed: 0.085 s
% 35.37/6.23 % (9405)Instructions burned: 349 (million)
% 35.37/6.23 % (9405)------------------------------
% 35.37/6.23 % (9405)------------------------------
% 35.37/6.24 % (9408)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_8951 for (2952ds/672Mi)
% 35.66/6.44 % (9408)Instruction limit reached!
% 35.66/6.44 % (9408)------------------------------
% 35.66/6.44 % (9408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.66/6.44 % (9408)Termination reason: Unknown
% 35.66/6.44 % (9408)Termination phase: Saturation
% 35.66/6.44
% 35.66/6.44 % (9408)Memory used [KB]: 9083
% 35.66/6.44 % (9408)Time elapsed: 0.228 s
% 35.66/6.44 % (9408)Instructions burned: 674 (million)
% 35.66/6.44 % (9408)------------------------------
% 35.66/6.44 % (9408)------------------------------
% 35.66/6.45 % (9409)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_8951 for (2950ds/1897Mi)
% 35.99/6.51 % (9407)Instruction limit reached!
% 35.99/6.51 % (9407)------------------------------
% 35.99/6.51 % (9407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.99/6.51 % (9407)Termination reason: Unknown
% 35.99/6.51 % (9407)Termination phase: Saturation
% 35.99/6.51
% 35.99/6.51 % (9407)Memory used [KB]: 8315
% 35.99/6.51 % (9407)Time elapsed: 0.345 s
% 35.99/6.51 % (9407)Instructions burned: 1312 (million)
% 35.99/6.51 % (9407)------------------------------
% 35.99/6.51 % (9407)------------------------------
% 35.99/6.52 % (9410)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_8951 for (2949ds/1202Mi)
% 35.99/6.56 % (9406)Instruction limit reached!
% 35.99/6.56 % (9406)------------------------------
% 35.99/6.56 % (9406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.99/6.56 % (9406)Termination reason: Unknown
% 35.99/6.56 % (9406)Termination phase: Saturation
% 35.99/6.56
% 35.99/6.56 % (9406)Memory used [KB]: 5373
% 35.99/6.56 % (9406)Time elapsed: 0.420 s
% 35.99/6.56 % (9406)Instructions burned: 1323 (million)
% 35.99/6.56 % (9406)------------------------------
% 35.99/6.56 % (9406)------------------------------
% 35.99/6.57 % (9411)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_8951 for (2948ds/1493Mi)
% 37.05/6.82 % (9403)Instruction limit reached!
% 37.05/6.82 % (9403)------------------------------
% 37.05/6.82 % (9403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.05/6.82 % (9403)Termination reason: Unknown
% 37.05/6.82 % (9403)Termination phase: Saturation
% 37.05/6.82
% 37.05/6.82 % (9403)Memory used [KB]: 6908
% 37.05/6.82 % (9403)Time elapsed: 0.721 s
% 37.05/6.82 % (9403)Instructions burned: 2404 (million)
% 37.05/6.82 % (9403)------------------------------
% 37.05/6.82 % (9403)------------------------------
% 37.05/6.83 % (9412)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_8951 for (2946ds/7679Mi)
% 37.05/6.88 % (9410)Instruction limit reached!
% 37.05/6.88 % (9410)------------------------------
% 37.05/6.88 % (9410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.05/6.88 % (9410)Termination reason: Unknown
% 37.05/6.88 % (9410)Termination phase: Saturation
% 37.05/6.88
% 37.05/6.88 % (9410)Memory used [KB]: 5628
% 37.05/6.88 % (9410)Time elapsed: 0.376 s
% 37.05/6.88 % (9410)Instructions burned: 1202 (million)
% 37.05/6.88 % (9410)------------------------------
% 37.05/6.88 % (9410)------------------------------
% 37.05/6.89 % (9413)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_8951 for (2945ds/340Mi)
% 38.24/6.98 % (9411)Instruction limit reached!
% 38.24/6.98 % (9411)------------------------------
% 38.24/6.98 % (9411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.24/6.98 % (9411)Termination reason: Unknown
% 38.24/6.98 % (9411)Termination phase: Saturation
% 38.24/6.98
% 38.24/6.98 % (9411)Memory used [KB]: 7675
% 38.24/6.98 % (9411)Time elapsed: 0.428 s
% 38.24/6.98 % (9411)Instructions burned: 1496 (million)
% 38.24/6.98 % (9411)------------------------------
% 38.24/6.98 % (9411)------------------------------
% 38.24/6.99 % (9414)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_8951 for (2944ds/3672Mi)
% 38.24/7.00 % (9413)Instruction limit reached!
% 38.24/7.00 % (9413)------------------------------
% 38.24/7.00 % (9413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.24/7.00 % (9413)Termination reason: Unknown
% 38.24/7.00 % (9413)Termination phase: Saturation
% 38.24/7.00
% 38.24/7.00 % (9413)Memory used [KB]: 8315
% 38.24/7.00 % (9413)Time elapsed: 0.110 s
% 38.24/7.00 % (9413)Instructions burned: 342 (million)
% 38.24/7.00 % (9413)------------------------------
% 38.24/7.00 % (9413)------------------------------
% 38.24/7.01 % (9415)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_8951 for (2944ds/1535Mi)
% 41.56/7.04 % (9409)Instruction limit reached!
% 41.56/7.04 % (9409)------------------------------
% 41.56/7.04 % (9409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.56/7.04 % (9409)Termination reason: Unknown
% 41.56/7.04 % (9409)Termination phase: Saturation
% 41.56/7.04
% 41.56/7.04 % (9409)Memory used [KB]: 11385
% 41.56/7.04 % (9409)Time elapsed: 0.615 s
% 41.56/7.04 % (9409)Instructions burned: 1899 (million)
% 41.56/7.04 % (9409)------------------------------
% 41.56/7.04 % (9409)------------------------------
% 41.56/7.05 % (9416)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_8951 for (2943ds/4637Mi)
% 42.97/7.37 % (9415)Instruction limit reached!
% 42.97/7.37 % (9415)------------------------------
% 42.97/7.37 % (9415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.97/7.37 % (9415)Termination reason: Unknown
% 42.97/7.37 % (9415)Termination phase: Saturation
% 42.97/7.37
% 42.97/7.37 % (9415)Memory used [KB]: 8955
% 42.97/7.37 % (9415)Time elapsed: 0.362 s
% 42.97/7.37 % (9415)Instructions burned: 1539 (million)
% 42.97/7.37 % (9415)------------------------------
% 42.97/7.37 % (9415)------------------------------
% 42.97/7.38 % (9417)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_8951 for (2940ds/3174Mi)
% 43.84/7.41 % (9383)Instruction limit reached!
% 43.84/7.41 % (9383)------------------------------
% 43.84/7.41 % (9383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.84/7.41 % (9383)Termination reason: Unknown
% 43.84/7.41 % (9383)Termination phase: Saturation
% 43.84/7.41
% 43.84/7.41 % (9383)Memory used [KB]: 11129
% 43.84/7.41 % (9383)Time elapsed: 1.986 s
% 43.84/7.41 % (9383)Instructions burned: 6457 (million)
% 43.84/7.41 % (9383)------------------------------
% 43.84/7.41 % (9383)------------------------------
% 43.84/7.42 % (9418)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_8951 for (2940ds/307Mi)
% 43.84/7.49 % (9418)Instruction limit reached!
% 43.84/7.49 % (9418)------------------------------
% 43.84/7.49 % (9418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.84/7.49 % (9418)Termination reason: Unknown
% 43.84/7.49 % (9418)Termination phase: Saturation
% 43.84/7.49
% 43.84/7.49 % (9418)Memory used [KB]: 6140
% 43.84/7.49 % (9418)Time elapsed: 0.074 s
% 43.84/7.49 % (9418)Instructions burned: 308 (million)
% 43.84/7.49 % (9418)------------------------------
% 43.84/7.49 % (9418)------------------------------
% 44.36/7.50 % (9419)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_8951 for (2939ds/3619Mi)
% 44.36/7.50 % (9402)Instruction limit reached!
% 44.36/7.50 % (9402)------------------------------
% 44.36/7.50 % (9402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.36/7.50 % (9402)Termination reason: Unknown
% 44.36/7.50 % (9402)Termination phase: Saturation
% 44.36/7.50
% 44.36/7.50 % (9402)Memory used [KB]: 8315
% 44.36/7.50 % (9402)Time elapsed: 1.434 s
% 44.36/7.50 % (9402)Instructions burned: 5062 (million)
% 44.36/7.50 % (9402)------------------------------
% 44.36/7.50 % (9402)------------------------------
% 44.36/7.51 % (9420)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_8951 for (2939ds/2325Mi)
% 44.97/7.72 % (9404)First to succeed.
% 44.97/7.73 % (9404)Refutation found. Thanks to Tanya!
% 44.97/7.73 % SZS status Theorem for DTF2THF_8951
% 44.97/7.73 % SZS output start Proof for DTF2THF_8951
% 44.97/7.73 thf(func_def_0, type, in: $i > $i > $o).
% 44.97/7.73 thf(func_def_1, type, exu: ($i > $o) > $o).
% 44.97/7.73 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 44.97/7.73 thf(func_def_8, type, powerset: $i > $i).
% 44.97/7.73 thf(func_def_10, type, setunion: $i > $i).
% 44.97/7.73 thf(func_def_19, type, descr: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_26, type, prop2set: $o > $i).
% 44.97/7.73 thf(func_def_36, type, nonempty: $i > $o).
% 44.97/7.73 thf(func_def_69, type, set2prop: $i > $o).
% 44.97/7.73 thf(func_def_88, type, subset: $i > $i > $o).
% 44.97/7.73 thf(func_def_89, type, disjoint: $i > $i > $o).
% 44.97/7.73 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 44.97/7.73 thf(func_def_114, type, binunion: $i > $i > $i).
% 44.97/7.73 thf(func_def_148, type, sP15: $i > $i > $i > $o).
% 44.97/7.73 thf(func_def_149, type, sP16: $i > $i > $o).
% 44.97/7.73 thf(func_def_150, type, sP17: $i > $o).
% 44.97/7.73 thf(func_def_151, type, sP18: $i > $i > $o).
% 44.97/7.73 thf(func_def_152, type, sP19: $i > $i > $o).
% 44.97/7.73 thf(func_def_153, type, sP20: $i > $i > $o).
% 44.97/7.73 thf(func_def_161, type, sP28: ($i > $i > $o) > $i > $o).
% 44.97/7.73 thf(func_def_162, type, sK29: $i > $o).
% 44.97/7.73 thf(func_def_164, type, sK31: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_177, type, sK44: $i > $o).
% 44.97/7.73 thf(func_def_179, type, sK46: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_180, type, sK47: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_185, type, sK52: $i > $o).
% 44.97/7.73 thf(func_def_187, type, sK54: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_193, type, sK60: ($i > $o) > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_194, type, sK61: ($i > $o) > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_195, type, sK62: $i > $o).
% 44.97/7.73 thf(func_def_196, type, sK63: $i > $o).
% 44.97/7.73 thf(func_def_205, type, sK72: $i > $i).
% 44.97/7.73 thf(func_def_206, type, sK73: $i > $i).
% 44.97/7.73 thf(func_def_207, type, sK74: $i > $i).
% 44.97/7.73 thf(func_def_211, type, sK78: $i > $o).
% 44.97/7.73 thf(func_def_212, type, sK79: $i > $o).
% 44.97/7.73 thf(func_def_213, type, sK80: ($i > $o) > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_214, type, sK81: ($i > $o) > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_216, type, sK83: $i > $o).
% 44.97/7.73 thf(func_def_218, type, sK85: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_225, type, sK92: $i > $i > $i).
% 44.97/7.73 thf(func_def_226, type, sK93: $i > $o).
% 44.97/7.73 thf(func_def_229, type, sK96: $i > $o).
% 44.97/7.73 thf(func_def_230, type, sK97: $i > $i).
% 44.97/7.73 thf(func_def_231, type, sK98: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_245, type, sK112: $i > $o).
% 44.97/7.73 thf(func_def_247, type, sK114: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_250, type, sK117: $i > $o).
% 44.97/7.73 thf(func_def_252, type, sK119: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_258, type, sK125: $i > $i > $i).
% 44.97/7.73 thf(func_def_269, type, sK136: $i > $i).
% 44.97/7.73 thf(func_def_276, type, sK143: $i > $o).
% 44.97/7.73 thf(func_def_282, type, sK149: $i > $o).
% 44.97/7.73 thf(func_def_284, type, sK151: $i > $i).
% 44.97/7.73 thf(func_def_293, type, sK160: $i > $o).
% 44.97/7.73 thf(func_def_303, type, sK170: $o > $i > $i > $i).
% 44.97/7.73 thf(func_def_306, type, sK173: $i > $o).
% 44.97/7.73 thf(func_def_311, type, sK178: $i > $i).
% 44.97/7.73 thf(func_def_312, type, sK179: $i > $i).
% 44.97/7.73 thf(func_def_314, type, sK181: $i > $o).
% 44.97/7.73 thf(func_def_328, type, sK195: $i > $i > $i).
% 44.97/7.73 thf(func_def_331, type, sK198: $i > $o).
% 44.97/7.73 thf(func_def_333, type, sK200: $i > $o).
% 44.97/7.73 thf(func_def_335, type, sK202: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_336, type, sK203: $i > $i > $i).
% 44.97/7.73 thf(func_def_337, type, sK204: $i > $i > $i).
% 44.97/7.73 thf(func_def_338, type, sK205: $i > $i > $i).
% 44.97/7.73 thf(func_def_339, type, sK206: $i > $i > $i).
% 44.97/7.73 thf(func_def_340, type, sK207: $i > $i > $i).
% 44.97/7.73 thf(func_def_341, type, sK208: $i > $i > $i).
% 44.97/7.73 thf(func_def_342, type, sK209: $i > $i > $i).
% 44.97/7.73 thf(func_def_343, type, sK210: $i > $i > $i > $i).
% 44.97/7.73 thf(func_def_344, type, sK211: $i > $i).
% 44.97/7.73 thf(func_def_345, type, sK212: $i > $i).
% 44.97/7.73 thf(func_def_346, type, sK213: $i > $i).
% 44.97/7.73 thf(func_def_347, type, sK214: $i > $i).
% 44.97/7.73 thf(func_def_348, type, sK215: $i > $i > $i).
% 44.97/7.73 thf(func_def_349, type, sK216: $i > $i > $i).
% 44.97/7.73 thf(func_def_350, type, sK217: $i > $i > $i).
% 44.97/7.73 thf(func_def_351, type, sK218: $i > $i > $i > $i).
% 44.97/7.73 thf(func_def_352, type, sK219: $i > $i > $i > $i).
% 44.97/7.73 thf(func_def_353, type, sK220: $i > $i).
% 44.97/7.73 thf(func_def_357, type, sK224: $i > $i > $i).
% 44.97/7.73 thf(func_def_358, type, sK225: $i > $i > $i).
% 44.97/7.73 thf(func_def_363, type, sK230: $i > $o).
% 44.97/7.73 thf(func_def_374, type, sK241: $i > $o).
% 44.97/7.73 thf(func_def_375, type, sK242: $i > $o).
% 44.97/7.73 thf(func_def_376, type, sK243: ($i > $o) > ($i > $o) > $i > $i > $i).
% 44.97/7.73 thf(func_def_377, type, sK244: ($i > $o) > ($i > $o) > $i > $i > $i).
% 44.97/7.73 thf(func_def_383, type, sK250: $i > $o).
% 44.97/7.73 thf(func_def_384, type, sK251: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_393, type, sK260: $i > $i > $i).
% 44.97/7.73 thf(func_def_396, type, sK263: $i > $o).
% 44.97/7.73 thf(func_def_398, type, sK265: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_399, type, sK266: $i > $o).
% 44.97/7.73 thf(func_def_400, type, sK267: $i > $i).
% 44.97/7.73 thf(func_def_401, type, sK268: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_403, type, sK270: $i > $o).
% 44.97/7.73 thf(func_def_410, type, sK277: $i > $i > $i).
% 44.97/7.73 thf(func_def_417, type, sK284: $i > $o).
% 44.97/7.73 thf(func_def_420, type, sK287: $i > $i > $i).
% 44.97/7.73 thf(func_def_423, type, sK290: $i > $o).
% 44.97/7.73 thf(func_def_427, type, sK294: $i > $o).
% 44.97/7.73 thf(func_def_429, type, sK296: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_438, type, sK305: $i > $o).
% 44.97/7.73 thf(func_def_439, type, sK306: $i > ($i > $i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_440, type, sK307: $i > ($i > $i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_441, type, sK308: ($i > $i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_442, type, sK309: $i > ($i > $i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_444, type, sK311: $i > $i > $o).
% 44.97/7.73 thf(func_def_445, type, sK312: ($i > $i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_446, type, sK313: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_447, type, sK314: $i > $i > ($i > $i > $o) > $i).
% 44.97/7.73 thf(func_def_448, type, sK315: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_449, type, sK316: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_450, type, sK317: $i > $i).
% 44.97/7.73 thf(func_def_452, type, sK319: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_453, type, sK320: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_454, type, sK321: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_455, type, sK322: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_456, type, sK323: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_457, type, sK324: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_458, type, sK325: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_460, type, sK327: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_461, type, sK328: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_462, type, sK329: $i > $i).
% 44.97/7.73 thf(func_def_463, type, sK330: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_464, type, sK331: $i > $i).
% 44.97/7.73 thf(func_def_465, type, sK332: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_467, type, sK334: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_468, type, sK335: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_469, type, sK336: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_470, type, sK337: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_471, type, sK338: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_472, type, sK339: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_473, type, sK340: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_474, type, sK341: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_475, type, sK342: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_476, type, sK343: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_477, type, sK344: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_478, type, sK345: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_479, type, sK346: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_480, type, sK347: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_482, type, sK349: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_483, type, sK350: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_484, type, sK351: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_485, type, sK352: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_486, type, sK353: ($i > $o) > $i).
% 44.97/7.73 thf(func_def_487, type, sK354: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_488, type, sK355: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_489, type, sK356: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_490, type, sK357: ($i > $o) > $i > $i).
% 44.97/7.73 thf(func_def_491, type, sK358: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_492, type, sK359: $i > ($i > $o) > $i).
% 44.97/7.73 thf(func_def_493, type, ph360: !>[X0: $tType]:(X0)).
% 44.97/7.73 thf(f16969,plain,(
% 44.97/7.73 $false),
% 44.97/7.73 inference(trivial_inequality_removal,[status(thm)],[f16927])).
% 44.97/7.73 thf(f16927,plain,(
% 44.97/7.73 ($true != $true)),
% 44.97/7.73 inference(superposition,[status(thm)],[f1224,f16813])).
% 44.97/7.73 thf(f16813,plain,(
% 44.97/7.73 ( ! [X0 : $i,X1 : $i] : (((subset @ X0 @ (binunion @ X1 @ X0)) = $true)) )),
% 44.97/7.73 inference(trivial_inequality_removal,[status(thm)],[f16812])).
% 44.97/7.73 thf(f16812,plain,(
% 44.97/7.73 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((subset @ X0 @ (binunion @ X1 @ X0)) = $true)) )),
% 44.97/7.73 inference(duplicate_literal_removal,[status(thm)],[f16773])).
% 44.97/7.73 thf(f16773,plain,(
% 44.97/7.73 ( ! [X0 : $i,X1 : $i] : (((subset @ X0 @ (binunion @ X1 @ X0)) = $true) | ((subset @ X0 @ (binunion @ X1 @ X0)) = $true) | ($true != $true)) )),
% 44.97/7.73 inference(superposition,[status(thm)],[f2380,f2728])).
% 44.97/7.73 thf(f2728,plain,(
% 44.97/7.73 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ (sK277 @ X0 @ X1) @ (binunion @ X2 @ X0)) = $true) | ((subset @ X0 @ X1) = $true)) )),
% 44.97/7.73 inference(trivial_inequality_removal,[status(thm)],[f2712])).
% 44.97/7.73 thf(f2712,plain,(
% 44.97/7.73 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((in @ (sK277 @ X0 @ X1) @ (binunion @ X2 @ X0)) = $true) | ((subset @ X0 @ X1) = $true)) )),
% 44.97/7.73 inference(superposition,[status(thm)],[f2007,f2153])).
% 44.97/7.73 thf(f2153,plain,(
% 44.97/7.73 ( ! [X0 : $i,X1 : $i] : (($true = (in @ (sK277 @ X1 @ X0) @ X1)) | ((subset @ X1 @ X0) = $true)) )),
% 44.97/7.73 inference(trivial_inequality_removal,[status(thm)],[f1875])).
% 44.97/7.73 thf(f1875,plain,(
% 44.97/7.73 ( ! [X0 : $i,X1 : $i] : (($true = (in @ (sK277 @ X1 @ X0) @ X1)) | ((subset @ X1 @ X0) = $true) | ($true != $true)) )),
% 44.97/7.73 inference(definition_unfolding,[status(thm)],[f1551,f1284])).
% 44.97/7.73 thf(f1284,plain,(
% 44.97/7.73 (subsetI1 = $true)),
% 44.97/7.73 inference(cnf_transformation,[status(thm)],[f701])).
% 44.97/7.73 thf(f701,plain,(
% 44.97/7.73 (sepSubset = $true) & (subsetTrans = $true) & (setextsub = $true) & (eqimpsubset1 = $true) & (vacuousDall = $true) & (in__Cong = $true) & (exuE3e = $true) & (exuEu = $true) & (omegaSAx = $true) & (setoftrueEq = $true) & (wellorderingAx = $true) & (nonemptyImpWitness = $true) & (upairsetIL = $true) & (quantDeMorgan2 = $true) & (notdallE = $true) & (dsetconstrER = $true) & (binunionIL = $true) & (powersetE1 = $true) & (setbeta = $true) & (quantDeMorgan3 = $true) & (subsetE = $true) & (powersetI1 = $true) & (subsetE2 = $true) & (subsetI1 = $true) & (setadjoin__Cong = $true) & (setext = $true) & (notequalI2 = $true) & (noeltsimpempty = $true) & (foundationAx = $true) & (setadjoinE = $true) & (exuI1 = $true) & (emptyInPowerset = $true) & (subsetRefl = $true) & (upairsetIR = $true) & (emptysetE = $true) & (omegaIndAx = $true) & (exu__Cong = $true) & (powersetE = $true) & (emptyE1 = $true) & (notequalI1 = $true) & (omega__Cong = $true) & (notsubsetI = $true) & (dsetconstrI = $true) & (emptyinPowerset = $true) & (subsetemptysetimpeq = $true) & (subPowSU = $true) & (dsetconstrEL = $true) & (emptysetimpfalse = $true) & (replAx = $true) & (setunionE = $true) & (powersetsubset = $true) & (descrp = $true) & (exuI2 = $true) & (prop2setI = $true) & (setextAx = $true) & (binunionE = $true) & (notdexE = $true) & (exuE3u = $true) & (quantDeMorgan4 = $true) & (singletonsswitch = $true) & (descr__Cong = $true) & (powerset__Cong = $true) & (setadjoinAx = $true) & (exuE1 = $true) & (nonemptyI1 = $true) & (setadjoinOr = $true) & (setadjoinIR = $true) & (upairset2IR = $true) & (prop2set2propI = $true) & (emptysetAx = $true) & (emptyI = $true) & (subsetI2 = $true) & (binunionIR = $true) & (exuE2 = $true) & (setunionAx = $true) & (binunionEcases = $true) & (quantDeMorgan1 = $true) & (eqimpsubset2 = $true) & (setadjoinSub = $true) & (nonemptyI = $true) & (setadjoinIL = $true) & (setunionI = $true) & (eqinunit = $true) & ((subset @ sK132 @ (binunion @ sK133 @ sK132)) != $true) & (powersetAx = $true) & (upairsetE = $true) & (emptyset__Cong = $true) & (emptysetsubset = $true) & (binunionLsub = $true) & (notinemptyset = $true) & (uniqinunit = $true) & (inPowerset = $true) & (inCongP = $true) & (notinsingleton = $true) & (setadjoinSub2 = $true) & (setunion__Cong = $true) & (exuI3 = $true) & (omega0Ax = $true) & (powersetI = $true) & (subset2powerset = $true) & (nonemptyE1 = $true) & (prop2setE = $true) & (sepInPowerset = $true) & (emptyinunitempty = $true) & (dsetconstr__Cong = $true)),
% 44.97/7.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK132,sK133])],[f411,f700])).
% 44.97/7.73 thf(f700,plain,(
% 44.97/7.73 ? [X0 : $i,X1 : $i] : ((subset @ X0 @ (binunion @ X1 @ X0)) != $true) => ((subset @ sK132 @ (binunion @ sK133 @ sK132)) != $true)),
% 44.97/7.73 introduced(definition,[],[choice_axiom])).
% 44.97/7.73 thf(f411,plain,(
% 44.97/7.73 (sepSubset = $true) & (subsetTrans = $true) & (setextsub = $true) & (eqimpsubset1 = $true) & (vacuousDall = $true) & (in__Cong = $true) & (exuE3e = $true) & (exuEu = $true) & (omegaSAx = $true) & (setoftrueEq = $true) & (wellorderingAx = $true) & (nonemptyImpWitness = $true) & (upairsetIL = $true) & (quantDeMorgan2 = $true) & (notdallE = $true) & (dsetconstrER = $true) & (binunionIL = $true) & (powersetE1 = $true) & (setbeta = $true) & (quantDeMorgan3 = $true) & (subsetE = $true) & (powersetI1 = $true) & (subsetE2 = $true) & (subsetI1 = $true) & (setadjoin__Cong = $true) & (setext = $true) & (notequalI2 = $true) & (noeltsimpempty = $true) & (foundationAx = $true) & (setadjoinE = $true) & (exuI1 = $true) & (emptyInPowerset = $true) & (subsetRefl = $true) & (upairsetIR = $true) & (emptysetE = $true) & (omegaIndAx = $true) & (exu__Cong = $true) & (powersetE = $true) & (emptyE1 = $true) & (notequalI1 = $true) & (omega__Cong = $true) & (notsubsetI = $true) & (dsetconstrI = $true) & (emptyinPowerset = $true) & (subsetemptysetimpeq = $true) & (subPowSU = $true) & (dsetconstrEL = $true) & (emptysetimpfalse = $true) & (replAx = $true) & (setunionE = $true) & (powersetsubset = $true) & (descrp = $true) & (exuI2 = $true) & (prop2setI = $true) & (setextAx = $true) & (binunionE = $true) & (notdexE = $true) & (exuE3u = $true) & (quantDeMorgan4 = $true) & (singletonsswitch = $true) & (descr__Cong = $true) & (powerset__Cong = $true) & (setadjoinAx = $true) & (exuE1 = $true) & (nonemptyI1 = $true) & (setadjoinOr = $true) & (setadjoinIR = $true) & (upairset2IR = $true) & (prop2set2propI = $true) & (emptysetAx = $true) & (emptyI = $true) & (subsetI2 = $true) & (binunionIR = $true) & (exuE2 = $true) & (setunionAx = $true) & (binunionEcases = $true) & (quantDeMorgan1 = $true) & (eqimpsubset2 = $true) & (setadjoinSub = $true) & (nonemptyI = $true) & (setadjoinIL = $true) & (setunionI = $true) & (eqinunit = $true) & ? [X0 : $i,X1 : $i] : ((subset @ X0 @ (binunion @ X1 @ X0)) != $true) & (powersetAx = $true) & (upairsetE = $true) & (emptyset__Cong = $true) & (emptysetsubset = $true) & (binunionLsub = $true) & (notinemptyset = $true) & (uniqinunit = $true) & (inPowerset = $true) & (inCongP = $true) & (notinsingleton = $true) & (setadjoinSub2 = $true) & (setunion__Cong = $true) & (exuI3 = $true) & (omega0Ax = $true) & (powersetI = $true) & (subset2powerset = $true) & (nonemptyE1 = $true) & (prop2setE = $true) & (sepInPowerset = $true) & (emptyinunitempty = $true) & (dsetconstr__Cong = $true)),
% 44.97/7.73 inference(flattening,[status(thm)],[f410])).
% 44.97/7.73 thf(f410,plain,(
% 44.97/7.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : ((subset @ X0 @ (binunion @ X1 @ X0)) != $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)),
% 44.97/7.73 inference(ennf_transformation,[status(thm)],[f267])).
% 44.97/7.73 thf(f267,plain,(
% 44.97/7.73 ~((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) => ! [X0 : $i,X1 : $i] : ((subset @ X0 @ (binunion @ X1 @ X0)) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 44.97/7.73 inference(fool_elimination,[status(thm)],[f266])).
% 44.97/7.73 thf(f266,plain,(
% 44.97/7.73 ~(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 => ! [X0 : $i,X1 : $i] : (subset @ X0 @ (binunion @ X1 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 44.97/7.73 inference(rectify,[status(thm)],[f108])).
% 44.97/7.73 thf(f108,negated_conjecture,(
% 44.97/7.73 ~(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 => ! [X4 : $i,X3 : $i] : (subset @ X4 @ (binunion @ X3 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 44.97/7.73 inference(negated_conjecture,[status(cth)],[f107])).
% 44.97/7.73 thf(f107,conjecture,(
% 44.97/7.73 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 => ! [X4 : $i,X3 : $i] : (subset @ X4 @ (binunion @ X3 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 44.97/7.73 file('/export/starexec/sandbox2/tmp/tmp.BYhxQTwj8h/DTF2THF_8951.p',binunionRsub)).
% 44.97/7.73 thf(f1551,plain,(
% 44.97/7.73 ( ! [X0 : $i,X1 : $i] : (($true = (in @ (sK277 @ X1 @ X0) @ X1)) | ((subset @ X1 @ X0) = $true) | (subsetI1 != $true)) )),
% 44.97/7.73 inference(cnf_transformation,[status(thm)],[f972])).
% 44.97/7.73 thf(f972,plain,(
% 44.97/7.73 (! [X0 : $i,X1 : $i] : ((($true = (in @ (sK277 @ X1 @ X0) @ X1)) & ((in @ (sK277 @ X1 @ X0) @ X0) != $true)) | ((subset @ X1 @ X0) = $true)) | (subsetI1 != $true)) & ((subsetI1 = $true) | (! [X5 : $i] : (($true != (in @ X5 @ sK279)) | ($true = (in @ X5 @ sK278))) & ((subset @ sK279 @ sK278) != $true)))),
% 44.97/7.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK277,sK278,sK279])],[f969,f971,f970])).
% 44.97/7.73 thf(f970,plain,(
% 44.97/7.73 ! [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true = (in @ X2 @ X1)) & ((in @ X2 @ X0) != $true)) => (($true = (in @ (sK277 @ X1 @ X0) @ X1)) & ((in @ (sK277 @ X1 @ X0) @ X0) != $true)))),
% 44.97/7.73 introduced(definition,[],[choice_axiom])).
% 44.97/7.73 thf(f971,plain,(
% 44.97/7.73 ? [X3 : $i,X4 : $i] : (! [X5 : $i] : (((in @ X5 @ X4) != $true) | ((in @ X5 @ X3) = $true)) & ((subset @ X4 @ X3) != $true)) => (! [X5 : $i] : (($true != (in @ X5 @ sK279)) | ($true = (in @ X5 @ sK278))) & ((subset @ sK279 @ sK278) != $true))),
% 44.97/7.73 introduced(definition,[],[choice_axiom])).
% 44.97/7.73 thf(f969,plain,(
% 44.97/7.73 (! [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true = (in @ X2 @ X1)) & ((in @ X2 @ X0) != $true)) | ((subset @ X1 @ X0) = $true)) | (subsetI1 != $true)) & ((subsetI1 = $true) | ? [X3 : $i,X4 : $i] : (! [X5 : $i] : (((in @ X5 @ X4) != $true) | ((in @ X5 @ X3) = $true)) & ((subset @ X4 @ X3) != $true)))),
% 44.97/7.73 inference(rectify,[status(thm)],[f968])).
% 44.97/7.73 thf(f968,plain,(
% 44.97/7.73 (! [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true = (in @ X2 @ X1)) & ((in @ X2 @ X0) != $true)) | ((subset @ X1 @ X0) = $true)) | (subsetI1 != $true)) & ((subsetI1 = $true) | ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true != (in @ X2 @ X1)) | ((in @ X2 @ X0) = $true)) & ((subset @ X1 @ X0) != $true)))),
% 44.97/7.73 inference(nnf_transformation,[status(thm)],[f435])).
% 44.97/7.73 thf(f435,plain,(
% 44.97/7.73 ! [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true = (in @ X2 @ X1)) & ((in @ X2 @ X0) != $true)) | ((subset @ X1 @ X0) = $true)) <=> (subsetI1 = $true)),
% 44.97/7.73 inference(ennf_transformation,[status(thm)],[f313])).
% 44.97/7.73 thf(f313,plain,(
% 44.97/7.73 (subsetI1 = $true) <=> ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true = (in @ X2 @ X1)) => ((in @ X2 @ X0) = $true)) => ((subset @ X1 @ X0) = $true))),
% 44.97/7.73 inference(fool_elimination,[status(thm)],[f312])).
% 44.97/7.73 thf(f312,plain,(
% 44.97/7.73 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (subset @ X1 @ X0)) = subsetI1)),
% 44.97/7.73 inference(rectify,[status(thm)],[f78])).
% 44.97/7.73 thf(f78,axiom,(
% 44.97/7.73 (! [X4 : $i,X3 : $i] : (! [X1 : $i] : ((in @ X1 @ X3) => (in @ X1 @ X4)) => (subset @ X3 @ X4)) = subsetI1)),
% 44.97/7.73 file('/export/starexec/sandbox2/tmp/tmp.BYhxQTwj8h/DTF2THF_8951.p',subsetI1)).
% 44.97/7.73 thf(f2007,plain,(
% 44.97/7.73 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ X3) != $true) | ((in @ X4 @ (binunion @ X5 @ X3)) = $true)) )),
% 44.97/7.73 inference(trivial_inequality_removal,[status(thm)],[f1799])).
% 44.97/7.73 thf(f1799,plain,(
% 44.97/7.73 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ X3) != $true) | ($true != $true) | ((in @ X4 @ (binunion @ X5 @ X3)) = $true)) )),
% 44.97/7.73 inference(definition_unfolding,[status(thm)],[f1393,f1235])).
% 44.97/7.73 thf(f1235,plain,(
% 44.97/7.73 (binunionIR = $true)),
% 44.97/7.73 inference(cnf_transformation,[status(thm)],[f701])).
% 44.97/7.73 thf(f1393,plain,(
% 44.97/7.73 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ (binunion @ X5 @ X3)) = $true) | ((in @ X4 @ X3) != $true) | (binunionIR != $true)) )),
% 44.97/7.73 inference(cnf_transformation,[status(thm)],[f803])).
% 44.97/7.73 thf(f803,plain,(
% 44.97/7.73 ((binunionIR = $true) | (($true != (in @ sK186 @ (binunion @ sK187 @ sK185))) & ((in @ sK186 @ sK185) = $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ (binunion @ X5 @ X3)) = $true) | ((in @ X4 @ X3) != $true)) | (binunionIR != $true))),
% 44.97/7.73 inference(skolemisation,[status(esa),new_symbols(skolem,[sK185,sK186,sK187])],[f801,f802])).
% 44.97/7.73 thf(f802,plain,(
% 44.97/7.73 ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) != $true) & ((in @ X1 @ X0) = $true)) => (($true != (in @ sK186 @ (binunion @ sK187 @ sK185))) & ((in @ sK186 @ sK185) = $true))),
% 44.97/7.73 introduced(definition,[],[choice_axiom])).
% 44.97/7.73 thf(f801,plain,(
% 44.97/7.73 ((binunionIR = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) != $true) & ((in @ X1 @ X0) = $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ (binunion @ X5 @ X3)) = $true) | ((in @ X4 @ X3) != $true)) | (binunionIR != $true))),
% 44.97/7.73 inference(rectify,[status(thm)],[f800])).
% 44.97/7.73 thf(f800,plain,(
% 44.97/7.73 ((binunionIR = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) != $true) & ((in @ X1 @ X0) = $true))) & (! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ((in @ X1 @ X0) != $true)) | (binunionIR != $true))),
% 44.97/7.73 inference(nnf_transformation,[status(thm)],[f374])).
% 44.97/7.73 thf(f374,plain,(
% 44.97/7.73 (binunionIR = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) | ((in @ X1 @ X0) != $true))),
% 44.97/7.73 inference(ennf_transformation,[status(thm)],[f287])).
% 44.97/7.73 thf(f287,plain,(
% 44.97/7.73 (binunionIR = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ X0) = $true) => ((in @ X1 @ (binunion @ X2 @ X0)) = $true))),
% 44.97/7.73 inference(fool_elimination,[status(thm)],[f286])).
% 44.97/7.73 thf(f286,plain,(
% 44.97/7.73 (binunionIR = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ X0) => (in @ X1 @ (binunion @ X2 @ X0))))),
% 44.97/7.73 inference(rectify,[status(thm)],[f103])).
% 44.97/7.73 thf(f103,axiom,(
% 44.97/7.73 (binunionIR = ! [X4 : $i,X1 : $i,X3 : $i] : ((in @ X1 @ X4) => (in @ X1 @ (binunion @ X3 @ X4))))),
% 44.97/7.73 file('/export/starexec/sandbox2/tmp/tmp.BYhxQTwj8h/DTF2THF_8951.p',binunionIR)).
% 44.97/7.73 thf(f2380,plain,(
% 44.97/7.73 ( ! [X0 : $i,X1 : $i] : (((in @ (sK277 @ X1 @ X0) @ X0) != $true) | ((subset @ X1 @ X0) = $true)) )),
% 44.97/7.73 inference(trivial_inequality_removal,[status(thm)],[f1876])).
% 44.97/7.73 thf(f1876,plain,(
% 44.97/7.73 ( ! [X0 : $i,X1 : $i] : (((subset @ X1 @ X0) = $true) | ((in @ (sK277 @ X1 @ X0) @ X0) != $true) | ($true != $true)) )),
% 44.97/7.73 inference(definition_unfolding,[status(thm)],[f1550,f1284])).
% 44.97/7.73 thf(f1550,plain,(
% 44.97/7.73 ( ! [X0 : $i,X1 : $i] : (((in @ (sK277 @ X1 @ X0) @ X0) != $true) | ((subset @ X1 @ X0) = $true) | (subsetI1 != $true)) )),
% 44.97/7.73 inference(cnf_transformation,[status(thm)],[f972])).
% 44.97/7.73 thf(f1224,plain,(
% 44.97/7.73 ((subset @ sK132 @ (binunion @ sK133 @ sK132)) != $true)),
% 44.97/7.73 inference(cnf_transformation,[status(thm)],[f701])).
% 44.97/7.73 % SZS output end Proof for DTF2THF_8951
% 44.97/7.73 % (9404)------------------------------
% 44.97/7.73 % (9404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.97/7.73 % (9404)Termination reason: Refutation
% 44.97/7.73
% 44.97/7.73 % (9404)Memory used [KB]: 11769
% 44.97/7.73 % (9404)Time elapsed: 1.612 s
% 44.97/7.73 % (9404)Instructions burned: 5267 (million)
% 44.97/7.73 % (9404)------------------------------
% 44.97/7.73 % (9404)------------------------------
% 44.97/7.73 % (9216)Success in time 6.295 s
%------------------------------------------------------------------------------