%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU596^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.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 09:35:30 AM UTC 2026
% Result : Theorem 98.02s 15.25s
% Output : Refutation 98.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 58 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 2212 ( 617 equ; 0 cnn)
% Maximal formula atoms : 115 ( 38 avg)
% Number of connectives : 1322 ( 85 ~; 63 |; 369 &; 331 @)
% ( 7 <=>; 467 =>; 0 <=; 0 <~>)
% Maximal formula depth : 122 ( 19 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 294 ( 291 usr; 124 con; 0-4 aty)
% Number of variables : 140 ( 0 ^; 105 !; 35 ?; 140 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_143,type,
sP1: $i > $i > $o ).
thf(func_def_145,type,
sP3: $i > $i > $o > $o ).
thf(func_def_146,type,
sP4: $i > $i > $i > $o ).
thf(func_def_150,type,
sP8: $i > $i > $i > $o ).
thf(func_def_151,type,
sP9: $i > $i > $o ).
thf(func_def_152,type,
sP10: $i > $o ).
thf(func_def_153,type,
sP11: $i > $i > $o ).
thf(func_def_154,type,
sP12: $i > $i > $o ).
thf(func_def_155,type,
sP13: $i > $i > $o ).
thf(func_def_157,type,
sP15: $i > $i > ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_170,type,
sP28: ( $i > $i > $o ) > $i > $o ).
thf(func_def_172,type,
sP30: $i > $i > $o > $o ).
thf(func_def_178,type,
sP36: $i > $o ).
thf(func_def_182,type,
sK40: $i > $o ).
thf(func_def_183,type,
sK41: $i > $o ).
thf(func_def_184,type,
sK42: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_185,type,
sK43: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_190,type,
sK48: $i > $i > $i ).
thf(func_def_191,type,
sK49: $i > $i > $i ).
thf(func_def_192,type,
sK50: $i > $i > $i > $o ).
thf(func_def_196,type,
sK54: $i > $o ).
thf(func_def_199,type,
sK57: $i > ( $i > $o ) > $i ).
thf(func_def_204,type,
sK62: $i > $i ).
thf(func_def_206,type,
sK64: $i > $o ).
thf(func_def_208,type,
sK66: ( $i > $o ) > $i ).
thf(func_def_209,type,
sK67: ( $i > $o ) > $i ).
thf(func_def_228,type,
sK86: $i > $o ).
thf(func_def_230,type,
sK88: ( $i > $o ) > $i > $i ).
thf(func_def_233,type,
sK91: $i > $i > $i ).
thf(func_def_234,type,
sK92: $i > $i > $i ).
thf(func_def_235,type,
sK93: $i > $i > $i ).
thf(func_def_236,type,
sK94: $i > $i > $i ).
thf(func_def_237,type,
sK95: $i > $i > $i ).
thf(func_def_238,type,
sK96: $i > $i > $i ).
thf(func_def_239,type,
sK97: $i > $i > $i ).
thf(func_def_240,type,
sK98: $i > $i > $i > $i ).
thf(func_def_241,type,
sK99: $i > $i ).
thf(func_def_242,type,
sK100: $i > $i ).
thf(func_def_243,type,
sK101: $i > $i ).
thf(func_def_244,type,
sK102: $i > $i ).
thf(func_def_245,type,
sK103: $i > $i > $i ).
thf(func_def_246,type,
sK104: $i > $i > $i ).
thf(func_def_247,type,
sK105: $i > $i > $i ).
thf(func_def_248,type,
sK106: $i > $i > $i > $i ).
thf(func_def_249,type,
sK107: $i > $i > $i > $i ).
thf(func_def_251,type,
sK109: $i > $i ).
thf(func_def_256,type,
sK114: $i > $o ).
thf(func_def_257,type,
sK115: $i > $o ).
thf(func_def_258,type,
sK116: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_259,type,
sK117: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_260,type,
sK118: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_261,type,
sK119: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_264,type,
sK122: $i > $o ).
thf(func_def_265,type,
sK123: $i > $o ).
thf(func_def_276,type,
sK134: $i > $o ).
thf(func_def_283,type,
sK141: $i > $o ).
thf(func_def_285,type,
sK143: $i > ( $i > $o ) > $i ).
thf(func_def_287,type,
sK145: $i > $o ).
thf(func_def_289,type,
sK147: ( $i > $o ) > $i > $i ).
thf(func_def_292,type,
sK150: $i > $i ).
thf(func_def_293,type,
sK151: $i > $i ).
thf(func_def_294,type,
sK152: $i > $o ).
thf(func_def_304,type,
sK162: $i > $i ).
thf(func_def_309,type,
sK167: $i > $o ).
thf(func_def_311,type,
sK169: ( $i > $o ) > $i > $i ).
thf(func_def_330,type,
sK188: $i > $i > $i ).
thf(func_def_335,type,
sK193: ( $i > $o ) > $i ).
thf(func_def_336,type,
sK194: $i > $o ).
thf(func_def_337,type,
sK195: $i > $o ).
thf(func_def_338,type,
sK196: $i > $i ).
thf(func_def_339,type,
sK197: ( $i > $o ) > $i ).
thf(func_def_343,type,
sK201: $i > $o ).
thf(func_def_345,type,
sK203: $i > ( $i > $o ) > $i ).
thf(func_def_357,type,
sK215: $i > $o ).
thf(func_def_361,type,
sK219: $i > $o ).
thf(func_def_365,type,
sK223: $i > $o ).
thf(func_def_369,type,
sK227: $i > $o ).
thf(func_def_374,type,
sK232: $i > $o ).
thf(func_def_382,type,
sK240: $i > $i > $i ).
thf(func_def_389,type,
sK247: $i > $i > $i ).
thf(func_def_391,type,
sK249: $i > $o ).
thf(func_def_399,type,
sK257: $i > $o ).
thf(func_def_400,type,
sK258: $i > $o ).
thf(func_def_403,type,
sK261: $i > ( $i > $o ) > $i ).
thf(func_def_410,type,
sK268: $i > $o ).
thf(func_def_417,type,
sK275: $i > $i > $i ).
thf(func_def_421,type,
sK279: $i > $i > $i ).
thf(func_def_423,type,
sK281: $i > $i > $o ).
thf(func_def_424,type,
sK282: ( $i > $i > $o ) > $i > $i ).
thf(func_def_425,type,
sK283: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_426,type,
sK284: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_427,type,
sK285: ( $i > $i > $o ) > $i > $i ).
thf(func_def_428,type,
sK286: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_433,type,
sK291: $i > $o ).
thf(func_def_442,type,
sK300: $i > $o ).
thf(func_def_445,type,
sK303: $i > $o ).
thf(func_def_446,type,
sK304: $i > $i ).
thf(func_def_447,type,
sK305: ( $i > $o ) > $i ).
thf(func_def_451,type,
sK309: $o > $i > $i > $i ).
thf(func_def_454,type,
sK312: $i > $i ).
thf(func_def_458,type,
sK316: $i > $i > $i ).
thf(func_def_472,type,
sK330: $i > $o ).
thf(func_def_474,type,
sK332: ( $i > $o ) > $i > $i ).
thf(func_def_478,type,
sK336: $i > $i ).
thf(func_def_479,type,
sK337: $i > $i ).
thf(func_def_482,type,
sK340: $i > $i ).
thf(func_def_485,type,
sK343: ( $i > $o ) > $i > $i ).
thf(func_def_487,type,
sK345: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_489,type,
sK347: $i > $i ).
thf(func_def_490,type,
sK348: ( $i > $o ) > $i ).
thf(func_def_491,type,
sK349: ( $i > $o ) > $i > $i ).
thf(func_def_492,type,
sK350: ( $i > $o ) > $i ).
thf(func_def_493,type,
sK351: ( $i > $o ) > $i > $i ).
thf(func_def_494,type,
sK352: ( $i > $o ) > $i ).
thf(func_def_495,type,
sK353: ( $i > $o ) > $i > $i ).
thf(func_def_496,type,
sK354: ( $i > $o ) > $i > $i ).
thf(func_def_497,type,
sK355: ( $i > $o ) > $i ).
thf(func_def_498,type,
sK356: ( $i > $o ) > $i > $i ).
thf(func_def_499,type,
sK357: ( $i > $o ) > $i > $i ).
thf(func_def_500,type,
sK358: ( $i > $o ) > $i ).
thf(func_def_501,type,
sK359: ( $i > $o ) > $i > $i ).
thf(func_def_502,type,
sK360: $i > ( $i > $o ) > $i ).
thf(func_def_503,type,
sK361: $i > ( $i > $o ) > $i ).
thf(func_def_504,type,
sK362: $i > ( $i > $o ) > $i ).
thf(func_def_505,type,
sK363: ( $i > $o ) > $i > $i ).
thf(func_def_507,type,
sK365: $i > $i ).
thf(func_def_508,type,
sK366: $i > ( $i > $o ) > $i ).
thf(func_def_509,type,
sK367: ( $i > $o ) > $i > $i ).
thf(func_def_510,type,
sK368: $i > ( $i > $o ) > $i ).
thf(func_def_511,type,
sK369: $i > ( $i > $o ) > $i ).
thf(func_def_512,type,
sK370: ( $i > $o ) > $i > $i ).
thf(func_def_513,type,
sK371: $i > ( $i > $o ) > $i ).
thf(func_def_514,type,
sK372: $i > ( $i > $o ) > $i ).
thf(func_def_515,type,
sK373: ( $i > $o ) > $i ).
thf(func_def_516,type,
sK374: ( $i > $o ) > $i > $i ).
thf(func_def_517,type,
sK375: ( $i > $o ) > $i ).
thf(func_def_518,type,
sK376: $i > $i ).
thf(func_def_519,type,
sK377: ( $i > $o ) > $i ).
thf(func_def_520,type,
sK378: $i > $i ).
thf(func_def_521,type,
sK379: ( $i > $o ) > $i > $i ).
thf(func_def_522,type,
sK380: ( $i > $o ) > $i ).
thf(func_def_523,type,
sK381: ( $i > $o ) > $i > $i ).
thf(func_def_524,type,
sK382: ( $i > $o ) > $i > $i ).
thf(func_def_525,type,
sK383: ( $i > $o ) > $i ).
thf(func_def_526,type,
sK384: ( $i > $o ) > $i > $i ).
thf(func_def_527,type,
sK385: ( $i > $o ) > $i ).
thf(func_def_528,type,
sK386: ( $i > $o ) > $i ).
thf(func_def_529,type,
sK387: ( $i > $o ) > $i ).
thf(func_def_530,type,
sK388: ( $i > $o ) > $i > $i ).
thf(func_def_532,type,
sK390: ( $i > $o ) > $i > $i ).
thf(func_def_533,type,
sK391: $i > $i ).
thf(func_def_534,type,
sK392: $i > $i ).
thf(func_def_535,type,
sK393: $i > $i ).
thf(func_def_540,type,
ph397:
!>[X0: $tType] : X0 ).
thf(f15160,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f15155,f1645]) ).
thf(f1645,plain,
( emptyset
!= ( binintersect @ sK338 @ sK339 ) ),
inference(cnf_transformation,[status(thm)],[f1123]) ).
thf(f1123,plain,
( ( notdallE = $true )
& ( omegaSAx = $true )
& ( dsetconstrI = $true )
& ( sepInPowerset = $true )
& ( exuI3 = $true )
& ( binintersectSubset5 = $true )
& ( emptyinPowerset = $true )
& ( setadjoinIL = $true )
& ( powersetI = $true )
& ( notdexE = $true )
& ( nonemptyE1 = $true )
& ( emptysetE = $true )
& ( subsetemptysetimpeq = $true )
& ( setadjoinIR = $true )
& ( omegaIndAx = $true )
& ( prop2set2propI = $true )
& ( vacuousDall = $true )
& ( setoftrueEq = $true )
& ( nonemptyImpWitness = $true )
& ( exuE3e = $true )
& ( subset2powerset = $true )
& ( upairsetE = $true )
& ( notinemptyset = $true )
& ( prop2setI = $true )
& ( setbeta = $true )
& ( uniqinunit = $true )
& ( quantDeMorgan1 = $true )
& ( powerset__Cong = $true )
& ( singletonsswitch = $true )
& ( eqimpsubset1 = $true )
& ( exuI1 = $true )
& ( exuE3u = $true )
& ( binunionRsub = $true )
& ( dsetconstrEL = $true )
& ( binintersectLsub = $true )
& ( sepSubset = $true )
& ( dsetconstrER = $true )
& ( quantDeMorgan4 = $true )
& ( prop2setE = $true )
& ( powersetE = $true )
& ( setextAx = $true )
& ( setadjoinE = $true )
& ( notequalI1 = $true )
& ( inPowerset = $true )
& ( setextsub = $true )
& ( binunionLsub = $true )
& ( emptyinunitempty = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( subPowSU = $true )
& ( descr__Cong = $true )
& ( binunionIL = $true )
& ( foundationAx = $true )
& ( setext = $true )
& ( wellorderingAx = $true )
& ( powersetE1 = $true )
& ( subsetI1 = $true )
& ( binintersectSubset2 = $true )
& ( eqimpsubset2 = $true )
& ( setadjoinSub2 = $true )
& ( emptysetimpfalse = $true )
& ( exu__Cong = $true )
& ( binintersectEL = $true )
& ( setunionE = $true )
& ( subsetRefl = $true )
& ( emptysetAx = $true )
& ( subsetI2 = $true )
& ( exuI2 = $true )
& ( exuE1 = $true )
& ( in__Cong = $true )
& ( emptysetsubset = $true )
& ( binintersectI = $true )
& ( setadjoinSub = $true )
& ( binintersectSubset3 = $true )
& ( setadjoinOr = $true )
& ( setunionAx = $true )
& ( exuEu = $true )
& ( notinsingleton = $true )
& ( eqinunit = $true )
& ( setunionI = $true )
& ( notequalI2 = $true )
& ( subsetE2 = $true )
& ( quantDeMorgan3 = $true )
& ( subsetTrans = $true )
& ( binunionIR = $true )
& ( subsetE = $true )
& ( dsetconstr__Cong = $true )
& ( omega__Cong = $true )
& ( binunionE = $true )
& ( setunion__Cong = $true )
& ( nonemptyI1 = $true )
& ( binunionEcases = $true )
& ( descrp = $true )
& ( powersetAx = $true )
& ( nonemptyI = $true )
& ( emptyE1 = $true )
& ( powersetsubset = $true )
& ! [X2: $i] :
( ( $true
!= ( in @ X2 @ sK338 ) )
| ( ( in @ X2 @ sK339 )
!= $true ) )
& ( emptyset
!= ( binintersect @ sK338 @ sK339 ) )
& ( replAx = $true )
& ( upairset2IR = $true )
& ( upairsetIL = $true )
& ( inCongP = $true )
& ( omega0Ax = $true )
& ( setadjoinAx = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( emptyInPowerset = $true )
& ( powersetI1 = $true )
& ( exuE2 = $true )
& ( notsubsetI = $true )
& ( upairsetIR = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectER = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK338,sK339])],[f414,f1122]) ).
thf(f1122,plain,
( ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ X0 ) )
| ( $true
!= ( in @ X2 @ X1 ) ) )
& ( emptyset
!= ( binintersect @ X0 @ X1 ) ) )
=> ( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ sK338 ) )
| ( ( in @ X2 @ sK339 )
!= $true ) )
& ( emptyset
!= ( binintersect @ sK338 @ sK339 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f414,plain,
( ( notdallE = $true )
& ( omegaSAx = $true )
& ( dsetconstrI = $true )
& ( sepInPowerset = $true )
& ( exuI3 = $true )
& ( binintersectSubset5 = $true )
& ( emptyinPowerset = $true )
& ( setadjoinIL = $true )
& ( powersetI = $true )
& ( notdexE = $true )
& ( nonemptyE1 = $true )
& ( emptysetE = $true )
& ( subsetemptysetimpeq = $true )
& ( setadjoinIR = $true )
& ( omegaIndAx = $true )
& ( prop2set2propI = $true )
& ( vacuousDall = $true )
& ( setoftrueEq = $true )
& ( nonemptyImpWitness = $true )
& ( exuE3e = $true )
& ( subset2powerset = $true )
& ( upairsetE = $true )
& ( notinemptyset = $true )
& ( prop2setI = $true )
& ( setbeta = $true )
& ( uniqinunit = $true )
& ( quantDeMorgan1 = $true )
& ( powerset__Cong = $true )
& ( singletonsswitch = $true )
& ( eqimpsubset1 = $true )
& ( exuI1 = $true )
& ( exuE3u = $true )
& ( binunionRsub = $true )
& ( dsetconstrEL = $true )
& ( binintersectLsub = $true )
& ( sepSubset = $true )
& ( dsetconstrER = $true )
& ( quantDeMorgan4 = $true )
& ( prop2setE = $true )
& ( powersetE = $true )
& ( setextAx = $true )
& ( setadjoinE = $true )
& ( notequalI1 = $true )
& ( inPowerset = $true )
& ( setextsub = $true )
& ( binunionLsub = $true )
& ( emptyinunitempty = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( subPowSU = $true )
& ( descr__Cong = $true )
& ( binunionIL = $true )
& ( foundationAx = $true )
& ( setext = $true )
& ( wellorderingAx = $true )
& ( powersetE1 = $true )
& ( subsetI1 = $true )
& ( binintersectSubset2 = $true )
& ( eqimpsubset2 = $true )
& ( setadjoinSub2 = $true )
& ( emptysetimpfalse = $true )
& ( exu__Cong = $true )
& ( binintersectEL = $true )
& ( setunionE = $true )
& ( subsetRefl = $true )
& ( emptysetAx = $true )
& ( subsetI2 = $true )
& ( exuI2 = $true )
& ( exuE1 = $true )
& ( in__Cong = $true )
& ( emptysetsubset = $true )
& ( binintersectI = $true )
& ( setadjoinSub = $true )
& ( binintersectSubset3 = $true )
& ( setadjoinOr = $true )
& ( setunionAx = $true )
& ( exuEu = $true )
& ( notinsingleton = $true )
& ( eqinunit = $true )
& ( setunionI = $true )
& ( notequalI2 = $true )
& ( subsetE2 = $true )
& ( quantDeMorgan3 = $true )
& ( subsetTrans = $true )
& ( binunionIR = $true )
& ( subsetE = $true )
& ( dsetconstr__Cong = $true )
& ( omega__Cong = $true )
& ( binunionE = $true )
& ( setunion__Cong = $true )
& ( nonemptyI1 = $true )
& ( binunionEcases = $true )
& ( descrp = $true )
& ( powersetAx = $true )
& ( nonemptyI = $true )
& ( emptyE1 = $true )
& ( powersetsubset = $true )
& ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ X0 ) )
| ( $true
!= ( in @ X2 @ X1 ) ) )
& ( emptyset
!= ( binintersect @ X0 @ X1 ) ) )
& ( replAx = $true )
& ( upairset2IR = $true )
& ( upairsetIL = $true )
& ( inCongP = $true )
& ( omega0Ax = $true )
& ( setadjoinAx = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( emptyInPowerset = $true )
& ( powersetI1 = $true )
& ( exuE2 = $true )
& ( notsubsetI = $true )
& ( upairsetIR = $true )
& ( quantDeMorgan2 = $true )
& ( binintersectER = $true ) ),
inference(flattening,[status(thm)],[f413]) ).
thf(f413,plain,
( ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ X0 ) )
| ( $true
!= ( in @ X2 @ X1 ) ) )
& ( emptyset
!= ( binintersect @ X0 @ X1 ) ) )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[status(thm)],[f213]) ).
thf(f213,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ! [X0: $i,X1: $i] :
( ~ ? [X2: $i] :
( ( $true
= ( in @ X2 @ X1 ) )
& ( $true
= ( in @ X2 @ X0 ) ) )
=> ( emptyset
= ( binintersect @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f212]) ).
thf(f212,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ! [X0: $i,X1: $i] :
( ~ ? [X2: $i] :
( ( in @ X2 @ X0 )
& ( in @ X2 @ X1 ) )
=> ( emptyset
= ( binintersect @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f116]) ).
thf(f116,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ! [X3: $i,X4: $i] :
( ~ ? [X1: $i] :
( ( in @ X1 @ X3 )
& ( in @ X1 @ X4 ) )
=> ( emptyset
= ( binintersect @ X3 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
thf(f115,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ! [X3: $i,X4: $i] :
( ~ ? [X1: $i] :
( ( in @ X1 @ X3 )
& ( in @ X1 @ X4 ) )
=> ( emptyset
= ( binintersect @ X3 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7FrhcRyUQJ/DTF2THF_29384.p',disjointsetsI1) ).
thf(f15155,plain,
( emptyset
= ( binintersect @ sK338 @ sK339 ) ),
inference(trivial_inequality_removal,[status(thm)],[f15154]) ).
thf(f15154,plain,
( ( emptyset
= ( binintersect @ sK338 @ sK339 ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f15150]) ).
thf(f15150,plain,
( ( $true != $true )
| ( emptyset
= ( binintersect @ sK338 @ sK339 ) )
| ( emptyset
= ( binintersect @ sK338 @ sK339 ) ) ),
inference(superposition,[status(thm)],[f5577,f3858]) ).
thf(f3858,plain,
! [X0: $i,X1: $i] :
( ( ( in @ ( sK162 @ ( binintersect @ X0 @ X1 ) ) @ X1 )
= $true )
| ( emptyset
= ( binintersect @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f3855]) ).
thf(f3855,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( emptyset
= ( binintersect @ X0 @ X1 ) )
| ( ( in @ ( sK162 @ ( binintersect @ X0 @ X1 ) ) @ X1 )
= $true ) ),
inference(superposition,[status(thm)],[f2386,f2484]) ).
thf(f2484,plain,
! [X2: $i] :
( ( ( in @ ( sK162 @ X2 ) @ X2 )
= $true )
| ( emptyset = X2 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1873]) ).
thf(f1873,plain,
! [X2: $i] :
( ( $true != $true )
| ( ( in @ ( sK162 @ X2 ) @ X2 )
= $true )
| ( emptyset = X2 ) ),
inference(definition_unfolding,[status(thm)],[f1336,f1695]) ).
thf(f1695,plain,
emptyI = $true,
inference(cnf_transformation,[status(thm)],[f1123]) ).
thf(f1336,plain,
! [X2: $i] :
( ( emptyset = X2 )
| ( ( in @ ( sK162 @ X2 ) @ X2 )
= $true )
| ( emptyI != $true ) ),
inference(cnf_transformation,[status(thm)],[f790]) ).
thf(f790,plain,
( ( ( emptyI = $true )
| ( ( emptyset != sK161 )
& ! [X1: $i] :
( ( in @ X1 @ sK161 )
!= $true ) ) )
& ( ! [X2: $i] :
( ( emptyset = X2 )
| ( ( in @ ( sK162 @ X2 ) @ X2 )
= $true ) )
| ( emptyI != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK161,sK162])],[f787,f789,f788]) ).
thf(f788,plain,
( ? [X0: $i] :
( ( emptyset != X0 )
& ! [X1: $i] :
( ( in @ X1 @ X0 )
!= $true ) )
=> ( ( emptyset != sK161 )
& ! [X1: $i] :
( ( in @ X1 @ sK161 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f789,plain,
! [X2: $i] :
( ? [X3: $i] :
( ( in @ X3 @ X2 )
= $true )
=> ( ( in @ ( sK162 @ X2 ) @ X2 )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f787,plain,
( ( ( emptyI = $true )
| ? [X0: $i] :
( ( emptyset != X0 )
& ! [X1: $i] :
( ( in @ X1 @ X0 )
!= $true ) ) )
& ( ! [X2: $i] :
( ( emptyset = X2 )
| ? [X3: $i] :
( ( in @ X3 @ X2 )
= $true ) )
| ( emptyI != $true ) ) ),
inference(rectify,[status(thm)],[f786]) ).
thf(f786,plain,
( ( ( emptyI = $true )
| ? [X0: $i] :
( ( emptyset != X0 )
& ! [X1: $i] :
( ( in @ X1 @ X0 )
!= $true ) ) )
& ( ! [X0: $i] :
( ( emptyset = X0 )
| ? [X1: $i] :
( ( in @ X1 @ X0 )
= $true ) )
| ( emptyI != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f455]) ).
thf(f455,plain,
( ( emptyI = $true )
<=> ! [X0: $i] :
( ( emptyset = X0 )
| ? [X1: $i] :
( ( in @ X1 @ X0 )
= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f363]) ).
thf(f363,plain,
( ! [X0: $i] :
( ! [X1: $i] :
( ( in @ X1 @ X0 )
!= $true )
=> ( emptyset = X0 ) )
<=> ( emptyI = $true ) ),
inference(flattening,[status(thm)],[f291]) ).
thf(f291,plain,
( ( emptyI = $true )
<=> ! [X0: $i] :
( ! [X1: $i] :
( ( in @ X1 @ X0 )
!= $true )
=> ( emptyset = X0 ) ) ),
inference(fool_elimination,[status(thm)],[f290]) ).
thf(f290,plain,
( emptyI
= ( ! [X0: $i] :
( ! [X1: $i] :
~ ( in @ X1 @ X0 )
=> ( emptyset = X0 ) ) ) ),
inference(rectify,[status(thm)],[f24]) ).
thf(f24,axiom,
( emptyI
= ( ! [X3: $i] :
( ! [X1: $i] :
~ ( in @ X1 @ X3 )
=> ( emptyset = X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7FrhcRyUQJ/DTF2THF_29384.p',emptyI) ).
thf(f2386,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) )
| ( ( in @ X5 @ X4 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f1825]) ).
thf(f1825,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X5 @ X4 )
= $true )
| ( $true != $true )
| ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) ) ),
inference(definition_unfolding,[status(thm)],[f1275,f1630]) ).
thf(f1630,plain,
binintersectER = $true,
inference(cnf_transformation,[status(thm)],[f1123]) ).
thf(f1275,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) )
| ( ( in @ X5 @ X4 )
= $true )
| ( binintersectER != $true ) ),
inference(cnf_transformation,[status(thm)],[f709]) ).
thf(f709,plain,
( ( ( binintersectER = $true )
| ( ( ( in @ sK126 @ ( binintersect @ sK124 @ sK125 ) )
= $true )
& ( $true
!= ( in @ sK126 @ sK125 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) )
| ( ( in @ X5 @ X4 )
= $true ) )
| ( binintersectER != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK124,sK125,sK126])],[f707,f708]) ).
thf(f708,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
= $true )
& ( $true
!= ( in @ X2 @ X1 ) ) )
=> ( ( ( in @ sK126 @ ( binintersect @ sK124 @ sK125 ) )
= $true )
& ( $true
!= ( in @ sK126 @ sK125 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f707,plain,
( ( ( binintersectER = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
= $true )
& ( $true
!= ( in @ X2 @ X1 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) )
| ( ( in @ X5 @ X4 )
= $true ) )
| ( binintersectER != $true ) ) ),
inference(rectify,[status(thm)],[f706]) ).
thf(f706,plain,
( ( ( binintersectER = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
= $true )
& ( $true
!= ( in @ X2 @ X1 ) ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
!= $true )
| ( $true
= ( in @ X2 @ X1 ) ) )
| ( binintersectER != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f463]) ).
thf(f463,plain,
( ( binintersectER = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
!= $true )
| ( $true
= ( in @ X2 @ X1 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f119]) ).
thf(f119,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
= $true )
=> ( $true
= ( in @ X2 @ X1 ) ) )
<=> ( binintersectER = $true ) ),
inference(fool_elimination,[status(thm)],[f118]) ).
thf(f118,plain,
( binintersectER
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
=> ( in @ X2 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f114]) ).
thf(f114,axiom,
( binintersectER
= ( ! [X3: $i,X4: $i,X1: $i] :
( ( in @ X1 @ ( binintersect @ X3 @ X4 ) )
=> ( in @ X1 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7FrhcRyUQJ/DTF2THF_29384.p',binintersectER) ).
thf(f5577,plain,
! [X0: $i] :
( ( ( in @ ( sK162 @ ( binintersect @ sK338 @ X0 ) ) @ sK339 )
!= $true )
| ( emptyset
= ( binintersect @ sK338 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f5568]) ).
thf(f5568,plain,
! [X0: $i] :
( ( emptyset
= ( binintersect @ sK338 @ X0 ) )
| ( ( in @ ( sK162 @ ( binintersect @ sK338 @ X0 ) ) @ sK339 )
!= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1646,f3905]) ).
thf(f3905,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ ( sK162 @ ( binintersect @ X0 @ X1 ) ) @ X0 ) )
| ( emptyset
= ( binintersect @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f3902]) ).
thf(f3902,plain,
! [X0: $i,X1: $i] :
( ( emptyset
= ( binintersect @ X0 @ X1 ) )
| ( $true
= ( in @ ( sK162 @ ( binintersect @ X0 @ X1 ) ) @ X0 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f2501,f2484]) ).
thf(f2501,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) )
| ( $true
= ( in @ X5 @ X3 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1889]) ).
thf(f1889,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true != $true )
| ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) ) ),
inference(definition_unfolding,[status(thm)],[f1359,f1681]) ).
thf(f1681,plain,
binintersectEL = $true,
inference(cnf_transformation,[status(thm)],[f1123]) ).
thf(f1359,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) )
| ( binintersectEL != $true ) ),
inference(cnf_transformation,[status(thm)],[f813]) ).
thf(f813,plain,
( ( ( binintersectEL = $true )
| ( ( ( in @ sK176 @ sK174 )
!= $true )
& ( ( in @ sK176 @ ( binintersect @ sK174 @ sK175 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) ) )
| ( binintersectEL != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK174,sK175,sK176])],[f811,f812]) ).
thf(f812,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X2 @ X0 ) )
& ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
= $true ) )
=> ( ( ( in @ sK176 @ sK174 )
!= $true )
& ( ( in @ sK176 @ ( binintersect @ sK174 @ sK175 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f811,plain,
( ( ( binintersectEL = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X2 @ X0 ) )
& ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X5 @ X3 ) )
| ( $true
!= ( in @ X5 @ ( binintersect @ X3 @ X4 ) ) ) )
| ( binintersectEL != $true ) ) ),
inference(rectify,[status(thm)],[f810]) ).
thf(f810,plain,
( ( ( binintersectEL = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X2 @ X0 ) )
& ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
= $true ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X2 @ X0 ) )
| ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
!= $true ) )
| ( binintersectEL != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f368]) ).
thf(f368,plain,
( ( binintersectEL = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X2 @ X0 ) )
| ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f187]) ).
thf(f187,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
= $true )
=> ( $true
= ( in @ X2 @ X0 ) ) )
<=> ( binintersectEL = $true ) ),
inference(fool_elimination,[status(thm)],[f186]) ).
thf(f186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) )
= binintersectEL ),
inference(rectify,[status(thm)],[f110]) ).
thf(f110,axiom,
! [X3: $i,X4: $i,X1: $i] :
( ( ( in @ X1 @ ( binintersect @ X3 @ X4 ) )
=> ( in @ X1 @ X3 ) )
= binintersectEL ),
file('/export/starexec/sandbox/tmp/tmp.7FrhcRyUQJ/DTF2THF_29384.p',binintersectEL) ).
thf(f1646,plain,
! [X2: $i] :
( ( $true
!= ( in @ X2 @ sK338 ) )
| ( ( in @ X2 @ sK339 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f1123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU596^1 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n006.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 12:28:00 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.38 ---- Original DTF file ---
% 0.18/0.38 thf(spec,logic,$$dhol).
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 % File : SEU596^1 : TPTP v9.2.1. Released v3.7.0.
% 0.18/0.38 % Domain : Set Theory
% 0.18/0.38 % Problem : Preliminary Notions - Ops on Sets - Unions and Intersections
% 0.18/0.38 % Version : Especial.
% 0.18/0.38 % English : (! A:i.! B:i.~(? x:i.in x A & in x B) ->
% 0.18/0.38 % binintersect A B = emptyset)
% 0.18/0.38
% 0.18/0.38 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.18/0.38 % Source : [Bro08]
% 0.18/0.38 % Names : ZFC098g [Bro08]
% 0.18/0.38
% 0.18/0.38 % Status : Theorem
% 0.18/0.38 % Rating : 0.22 v9.1.0, 0.38 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0, 0.27 v7.5.0, 0.29 v7.4.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.43 v6.1.0, 0.86 v6.0.0, 0.71 v5.5.0, 0.67 v5.4.0, 0.80 v5.2.0, 1.00 v3.7.0
% 0.18/0.38 % Syntax : Number of formulae : 244 ( 114 unt; 129 typ; 114 def)
% 0.18/0.38 % Number of atoms : 611 ( 166 equ; 0 cnn)
% 0.18/0.38 % Maximal formula atoms : 115 ( 5 avg)
% 0.18/0.38 % Number of connectives : 960 ( 30 ~; 6 |; 28 &; 609 @)
% 0.18/0.38 % ( 14 <=>; 273 =>; 0 <=; 0 <~>)
% 0.18/0.38 % Maximal formula depth : 121 ( 2 avg)
% 0.18/0.38 % Number of types : 2 ( 0 usr)
% 0.18/0.38 % Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% 0.18/0.38 % Number of symbols : 132 ( 129 usr; 116 con; 0-2 aty)
% 0.18/0.38 % Number of variables : 334 ( 30 ^; 275 !; 29 ?; 334 :)
% 0.18/0.38 % SPC : TH0_THM_EQU_NAR
% 0.18/0.38
% 0.18/0.38 % Comments : http://mathgate.info/detsetitem.php?id=387
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 thf(in_type,type,
% 0.18/0.38 in: $i > $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(exu_type,type,
% 0.18/0.38 exu: ( $i > $o ) > $o ).
% 0.18/0.38
% 0.18/0.38 thf(exu,definition,
% 0.18/0.38 ( exu
% 0.18/0.38 = ( ^ [Xphi: $i > $o] :
% 0.18/0.38 ? [Xx: $i] :
% 0.18/0.38 ( ( Xphi @ Xx )
% 0.18/0.38 & ! [Xy: $i] :
% 0.18/0.38 ( ( Xphi @ Xy )
% 0.18/0.38 => ( Xx = Xy ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setextAx_type,type,
% 0.18/0.38 setextAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setextAx,definition,
% 0.18/0.38 ( setextAx
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 <=> ( in @ Xx @ B ) )
% 0.18/0.38 => ( A = B ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptyset_type,type,
% 0.18/0.38 emptyset: $i ).
% 0.18/0.38
% 0.18/0.38 thf(emptysetAx_type,type,
% 0.18/0.38 emptysetAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptysetAx,definition,
% 0.18/0.38 ( emptysetAx
% 0.18/0.38 = ( ! [Xx: $i] :
% 0.18/0.38 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoin_type,type,
% 0.18/0.38 setadjoin: $i > $i > $i ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinAx_type,type,
% 0.18/0.38 setadjoinAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinAx,definition,
% 0.18/0.38 ( setadjoinAx
% 0.18/0.38 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.38 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.18/0.38 <=> ( ( Xy = Xx )
% 0.18/0.38 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(powerset_type,type,
% 0.18/0.38 powerset: $i > $i ).
% 0.18/0.38
% 0.18/0.38 thf(powersetAx_type,type,
% 0.18/0.38 powersetAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(powersetAx,definition,
% 0.18/0.38 ( powersetAx
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( in @ B @ ( powerset @ A ) )
% 0.18/0.38 <=> ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ B )
% 0.18/0.38 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setunion_type,type,
% 0.18/0.38 setunion: $i > $i ).
% 0.18/0.38
% 0.18/0.38 thf(setunionAx_type,type,
% 0.18/0.38 setunionAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setunionAx,definition,
% 0.18/0.38 ( setunionAx
% 0.18/0.38 = ( ! [A: $i,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ ( setunion @ A ) )
% 0.18/0.38 <=> ? [B: $i] :
% 0.18/0.38 ( ( in @ Xx @ B )
% 0.18/0.38 & ( in @ B @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(omega_type,type,
% 0.18/0.38 omega: $i ).
% 0.18/0.38
% 0.18/0.38 thf(omega0Ax_type,type,
% 0.18/0.38 omega0Ax: $o ).
% 0.18/0.38
% 0.18/0.38 thf(omega0Ax,definition,
% 0.18/0.38 ( omega0Ax
% 0.18/0.38 = ( in @ emptyset @ omega ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(omegaSAx_type,type,
% 0.18/0.38 omegaSAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(omegaSAx,definition,
% 0.18/0.38 ( omegaSAx
% 0.18/0.38 = ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ omega )
% 0.18/0.38 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(omegaIndAx_type,type,
% 0.18/0.38 omegaIndAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(omegaIndAx,definition,
% 0.18/0.38 ( omegaIndAx
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ( ( ( in @ emptyset @ A )
% 0.18/0.38 & ! [Xx: $i] :
% 0.18/0.38 ( ( ( in @ Xx @ omega )
% 0.18/0.38 & ( in @ Xx @ A ) )
% 0.18/0.38 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.18/0.38 => ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ omega )
% 0.18/0.38 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(replAx_type,type,
% 0.18/0.38 replAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(replAx,definition,
% 0.18/0.38 ( replAx
% 0.18/0.38 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( exu
% 0.18/0.38 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.18/0.38 => ? [B: $i] :
% 0.18/0.38 ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ B )
% 0.18/0.38 <=> ? [Xy: $i] :
% 0.18/0.38 ( ( in @ Xy @ A )
% 0.18/0.38 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(foundationAx_type,type,
% 0.18/0.38 foundationAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(foundationAx,definition,
% 0.18/0.38 ( foundationAx
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.18/0.38 => ? [B: $i] :
% 0.18/0.38 ( ( in @ B @ A )
% 0.18/0.38 & ~ ? [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ B )
% 0.18/0.38 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(wellorderingAx_type,type,
% 0.18/0.38 wellorderingAx: $o ).
% 0.18/0.38
% 0.18/0.38 thf(wellorderingAx,definition,
% 0.18/0.38 ( wellorderingAx
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ? [B: $i] :
% 0.18/0.38 ( ! [C: $i] :
% 0.18/0.38 ( ( in @ C @ B )
% 0.18/0.38 => ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ C )
% 0.18/0.38 => ( in @ Xx @ A ) ) )
% 0.18/0.38 & ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( ( in @ Xx @ A )
% 0.18/0.38 & ( in @ Xy @ A ) )
% 0.18/0.38 => ( ! [C: $i] :
% 0.18/0.38 ( ( in @ C @ B )
% 0.18/0.38 => ( ( in @ Xx @ C )
% 0.18/0.38 <=> ( in @ Xy @ C ) ) )
% 0.18/0.38 => ( Xx = Xy ) ) )
% 0.18/0.38 & ! [C: $i,D: $i] :
% 0.18/0.38 ( ( ( in @ C @ B )
% 0.18/0.38 & ( in @ D @ B ) )
% 0.18/0.38 => ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ C )
% 0.18/0.38 => ( in @ Xx @ D ) )
% 0.18/0.38 | ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ D )
% 0.18/0.38 => ( in @ Xx @ C ) ) ) )
% 0.18/0.38 & ! [C: $i] :
% 0.18/0.38 ( ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ C )
% 0.18/0.38 => ( in @ Xx @ A ) )
% 0.18/0.38 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.18/0.38 => ? [D: $i,Xx: $i] :
% 0.18/0.38 ( ( in @ D @ B )
% 0.18/0.38 & ( in @ Xx @ C )
% 0.18/0.38 & ~ ? [Xy: $i] :
% 0.18/0.38 ( ( in @ Xy @ D )
% 0.18/0.38 & ( in @ Xy @ C ) )
% 0.18/0.38 & ! [E: $i] :
% 0.18/0.38 ( ( in @ E @ B )
% 0.18/0.38 => ( ! [Xy: $i] :
% 0.18/0.38 ( ( in @ Xy @ E )
% 0.18/0.38 => ( in @ Xy @ D ) )
% 0.18/0.38 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(descr_type,type,
% 0.18/0.38 descr: ( $i > $o ) > $i ).
% 0.18/0.38
% 0.18/0.38 thf(descrp_type,type,
% 0.18/0.38 descrp: $o ).
% 0.18/0.38
% 0.18/0.38 thf(descrp,definition,
% 0.18/0.38 ( descrp
% 0.18/0.38 = ( ! [Xphi: $i > $o] :
% 0.18/0.38 ( ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 => ( Xphi
% 0.18/0.38 @ ( descr
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(dsetconstr_type,type,
% 0.18/0.38 dsetconstr: $i > ( $i > $o ) > $i ).
% 0.18/0.38
% 0.18/0.38 thf(dsetconstrI_type,type,
% 0.18/0.38 dsetconstrI: $o ).
% 0.18/0.38
% 0.18/0.38 thf(dsetconstrI,definition,
% 0.18/0.38 ( dsetconstrI
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( ( Xphi @ Xx )
% 0.18/0.38 => ( in @ Xx
% 0.18/0.38 @ ( dsetconstr @ A
% 0.18/0.38 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(dsetconstrEL_type,type,
% 0.18/0.38 dsetconstrEL: $o ).
% 0.18/0.38
% 0.18/0.38 thf(dsetconstrEL,definition,
% 0.18/0.38 ( dsetconstrEL
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx
% 0.18/0.38 @ ( dsetconstr @ A
% 0.18/0.38 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.18/0.38 => ( in @ Xx @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(dsetconstrER_type,type,
% 0.18/0.38 dsetconstrER: $o ).
% 0.18/0.38
% 0.18/0.38 thf(dsetconstrER,definition,
% 0.18/0.38 ( dsetconstrER
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx
% 0.18/0.38 @ ( dsetconstr @ A
% 0.18/0.38 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.18/0.38 => ( Xphi @ Xx ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(exuE1_type,type,
% 0.18/0.38 exuE1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(exuE1,definition,
% 0.18/0.38 ( exuE1
% 0.18/0.38 = ( ! [Xphi: $i > $o] :
% 0.18/0.38 ( ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 => ? [Xx: $i] :
% 0.18/0.38 ( ( Xphi @ Xx )
% 0.18/0.38 & ! [Xy: $i] :
% 0.18/0.38 ( ( Xphi @ Xy )
% 0.18/0.38 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(prop2set_type,type,
% 0.18/0.38 prop2set: $o > $i ).
% 0.18/0.38
% 0.18/0.38 thf(prop2setE_type,type,
% 0.18/0.38 prop2setE: $o ).
% 0.18/0.38
% 0.18/0.38 thf(prop2setE,definition,
% 0.18/0.38 ( prop2setE
% 0.18/0.38 = ( ! [Xphi: $o,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.18/0.38 => Xphi ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptysetE_type,type,
% 0.18/0.38 emptysetE: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptysetE,definition,
% 0.18/0.38 ( emptysetE
% 0.18/0.38 = ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ emptyset )
% 0.18/0.38 => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptysetimpfalse_type,type,
% 0.18/0.38 emptysetimpfalse: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptysetimpfalse,definition,
% 0.18/0.38 ( emptysetimpfalse
% 0.18/0.38 = ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ emptyset )
% 0.18/0.38 => $false ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(notinemptyset_type,type,
% 0.18/0.38 notinemptyset: $o ).
% 0.18/0.38
% 0.18/0.38 thf(notinemptyset,definition,
% 0.18/0.38 ( notinemptyset
% 0.18/0.38 = ( ! [Xx: $i] :
% 0.18/0.38 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(exuE3e_type,type,
% 0.18/0.38 exuE3e: $o ).
% 0.18/0.38
% 0.18/0.38 thf(exuE3e,definition,
% 0.18/0.38 ( exuE3e
% 0.18/0.38 = ( ! [Xphi: $i > $o] :
% 0.18/0.38 ( ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setext_type,type,
% 0.18/0.38 setext: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setext,definition,
% 0.18/0.38 ( setext
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( in @ Xx @ B ) )
% 0.18/0.38 => ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ B )
% 0.18/0.38 => ( in @ Xx @ A ) )
% 0.18/0.38 => ( A = B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptyI_type,type,
% 0.18/0.38 emptyI: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptyI,definition,
% 0.18/0.38 ( emptyI
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ~ ( in @ Xx @ A )
% 0.18/0.38 => ( A = emptyset ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(noeltsimpempty_type,type,
% 0.18/0.38 noeltsimpempty: $o ).
% 0.18/0.38
% 0.18/0.38 thf(noeltsimpempty,definition,
% 0.18/0.38 ( noeltsimpempty
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ~ ( in @ Xx @ A )
% 0.18/0.38 => ( A = emptyset ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setbeta_type,type,
% 0.18/0.38 setbeta: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setbeta,definition,
% 0.18/0.38 ( setbeta
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( ( in @ Xx
% 0.18/0.38 @ ( dsetconstr @ A
% 0.18/0.38 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.18/0.38 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(nonempty_type,type,
% 0.18/0.38 nonempty: $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(nonempty,definition,
% 0.18/0.38 ( nonempty
% 0.18/0.38 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(nonemptyE1_type,type,
% 0.18/0.38 nonemptyE1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(nonemptyE1,definition,
% 0.18/0.38 ( nonemptyE1
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ( ( nonempty @ A )
% 0.18/0.38 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(nonemptyI_type,type,
% 0.18/0.38 nonemptyI: $o ).
% 0.18/0.38
% 0.18/0.38 thf(nonemptyI,definition,
% 0.18/0.38 ( nonemptyI
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( ( Xphi @ Xx )
% 0.18/0.38 => ( nonempty
% 0.18/0.38 @ ( dsetconstr @ A
% 0.18/0.38 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(nonemptyI1_type,type,
% 0.18/0.38 nonemptyI1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(nonemptyI1,definition,
% 0.18/0.38 ( nonemptyI1
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.18/0.38 => ( nonempty @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinIL_type,type,
% 0.18/0.38 setadjoinIL: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinIL,definition,
% 0.18/0.38 ( setadjoinIL
% 0.18/0.38 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptyinunitempty_type,type,
% 0.18/0.38 emptyinunitempty: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptyinunitempty,definition,
% 0.18/0.38 ( emptyinunitempty
% 0.18/0.38 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinIR_type,type,
% 0.18/0.38 setadjoinIR: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinIR,definition,
% 0.18/0.38 ( setadjoinIR
% 0.18/0.38 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.38 ( ( in @ Xy @ A )
% 0.18/0.38 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinE_type,type,
% 0.18/0.38 setadjoinE: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinE,definition,
% 0.18/0.38 ( setadjoinE
% 0.18/0.38 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.38 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.18/0.38 => ! [Xphi: $o] :
% 0.18/0.38 ( ( ( Xy = Xx )
% 0.18/0.38 => Xphi )
% 0.18/0.38 => ( ( ( in @ Xy @ A )
% 0.18/0.38 => Xphi )
% 0.18/0.38 => Xphi ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinOr_type,type,
% 0.18/0.38 setadjoinOr: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinOr,definition,
% 0.18/0.38 ( setadjoinOr
% 0.18/0.38 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.38 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.18/0.38 => ( ( Xy = Xx )
% 0.18/0.38 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setoftrueEq_type,type,
% 0.18/0.38 setoftrueEq: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setoftrueEq,definition,
% 0.18/0.38 ( setoftrueEq
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ( ( dsetconstr @ A
% 0.18/0.38 @ ^ [Xx: $i] : $true )
% 0.18/0.38 = A ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(powersetI_type,type,
% 0.18/0.38 powersetI: $o ).
% 0.18/0.38
% 0.18/0.38 thf(powersetI,definition,
% 0.18/0.38 ( powersetI
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ B )
% 0.18/0.38 => ( in @ Xx @ A ) )
% 0.18/0.38 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptyinPowerset_type,type,
% 0.18/0.38 emptyinPowerset: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptyinPowerset,definition,
% 0.18/0.38 ( emptyinPowerset
% 0.18/0.38 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptyInPowerset_type,type,
% 0.18/0.38 emptyInPowerset: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptyInPowerset,definition,
% 0.18/0.38 ( emptyInPowerset
% 0.18/0.38 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(powersetE_type,type,
% 0.18/0.38 powersetE: $o ).
% 0.18/0.38
% 0.18/0.38 thf(powersetE,definition,
% 0.18/0.38 ( powersetE
% 0.18/0.38 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.38 ( ( in @ B @ ( powerset @ A ) )
% 0.18/0.38 => ( ( in @ Xx @ B )
% 0.18/0.38 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setunionI_type,type,
% 0.18/0.38 setunionI: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setunionI,definition,
% 0.18/0.38 ( setunionI
% 0.18/0.38 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.18/0.38 ( ( in @ Xx @ B )
% 0.18/0.38 => ( ( in @ B @ A )
% 0.18/0.38 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setunionE_type,type,
% 0.18/0.38 setunionE: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setunionE,definition,
% 0.18/0.38 ( setunionE
% 0.18/0.38 = ( ! [A: $i,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ ( setunion @ A ) )
% 0.18/0.38 => ! [Xphi: $o] :
% 0.18/0.38 ( ! [B: $i] :
% 0.18/0.38 ( ( in @ Xx @ B )
% 0.18/0.38 => ( ( in @ B @ A )
% 0.18/0.38 => Xphi ) )
% 0.18/0.38 => Xphi ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(subPowSU_type,type,
% 0.18/0.38 subPowSU: $o ).
% 0.18/0.38
% 0.18/0.38 thf(subPowSU,definition,
% 0.18/0.38 ( subPowSU
% 0.18/0.38 = ( ! [A: $i,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(exuE2_type,type,
% 0.18/0.38 exuE2: $o ).
% 0.18/0.38
% 0.18/0.38 thf(exuE2,definition,
% 0.18/0.38 ( exuE2
% 0.18/0.38 = ( ! [Xphi: $i > $o] :
% 0.18/0.38 ( ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 => ? [Xx: $i] :
% 0.18/0.38 ! [Xy: $i] :
% 0.18/0.38 ( ( Xphi @ Xy )
% 0.18/0.38 <=> ( Xy = Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(nonemptyImpWitness_type,type,
% 0.18/0.38 nonemptyImpWitness: $o ).
% 0.18/0.38
% 0.18/0.38 thf(nonemptyImpWitness,definition,
% 0.18/0.38 ( nonemptyImpWitness
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ( ( nonempty @ A )
% 0.18/0.38 => ? [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 & $true ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(uniqinunit_type,type,
% 0.18/0.38 uniqinunit: $o ).
% 0.18/0.38
% 0.18/0.38 thf(uniqinunit,definition,
% 0.18/0.38 ( uniqinunit
% 0.18/0.38 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.18/0.38 => ( Xx = Xy ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(notinsingleton_type,type,
% 0.18/0.38 notinsingleton: $o ).
% 0.18/0.38
% 0.18/0.38 thf(notinsingleton,definition,
% 0.18/0.38 ( notinsingleton
% 0.18/0.38 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xx != Xy )
% 0.18/0.38 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(eqinunit_type,type,
% 0.18/0.38 eqinunit: $o ).
% 0.18/0.38
% 0.18/0.38 thf(eqinunit,definition,
% 0.18/0.38 ( eqinunit
% 0.18/0.38 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xx = Xy )
% 0.18/0.38 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(singletonsswitch_type,type,
% 0.18/0.38 singletonsswitch: $o ).
% 0.18/0.38
% 0.18/0.38 thf(singletonsswitch,definition,
% 0.18/0.38 ( singletonsswitch
% 0.18/0.38 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.18/0.38 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(upairsetE_type,type,
% 0.18/0.38 upairsetE: $o ).
% 0.18/0.38
% 0.18/0.38 thf(upairsetE,definition,
% 0.18/0.38 ( upairsetE
% 0.18/0.38 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.18/0.38 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.18/0.38 => ( ( Xz = Xx )
% 0.18/0.38 | ( Xz = Xy ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(upairsetIL_type,type,
% 0.18/0.38 upairsetIL: $o ).
% 0.18/0.38
% 0.18/0.38 thf(upairsetIL,definition,
% 0.18/0.38 ( upairsetIL
% 0.18/0.38 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(upairsetIR_type,type,
% 0.18/0.38 upairsetIR: $o ).
% 0.18/0.38
% 0.18/0.38 thf(upairsetIR,definition,
% 0.18/0.38 ( upairsetIR
% 0.18/0.38 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptyE1_type,type,
% 0.18/0.38 emptyE1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptyE1,definition,
% 0.18/0.38 ( emptyE1
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.38 ( ? [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 & ( Xphi @ Xx ) )
% 0.18/0.38 => ( ( ( dsetconstr @ A
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 = emptyset )
% 0.18/0.38 => $false ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(vacuousDall_type,type,
% 0.18/0.38 vacuousDall: $o ).
% 0.18/0.38
% 0.18/0.38 thf(vacuousDall,definition,
% 0.18/0.38 ( vacuousDall
% 0.18/0.38 = ( ! [Xphi: $i > $o,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ emptyset )
% 0.18/0.38 => ( Xphi @ Xx ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(quantDeMorgan1_type,type,
% 0.18/0.38 quantDeMorgan1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(quantDeMorgan1,definition,
% 0.18/0.38 ( quantDeMorgan1
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.38 ( ~ ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( Xphi @ Xx ) )
% 0.18/0.38 => ? [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(quantDeMorgan2_type,type,
% 0.18/0.38 quantDeMorgan2: $o ).
% 0.18/0.38
% 0.18/0.38 thf(quantDeMorgan2,definition,
% 0.18/0.38 ( quantDeMorgan2
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ~ ( Xphi @ Xx ) )
% 0.18/0.38 => ~ ? [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 & ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(quantDeMorgan3_type,type,
% 0.18/0.38 quantDeMorgan3: $o ).
% 0.18/0.38
% 0.18/0.38 thf(quantDeMorgan3,definition,
% 0.18/0.38 ( quantDeMorgan3
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.38 ( ~ ? [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 & ( Xphi @ Xx ) )
% 0.18/0.38 => ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(quantDeMorgan4_type,type,
% 0.18/0.38 quantDeMorgan4: $o ).
% 0.18/0.38
% 0.18/0.38 thf(quantDeMorgan4,definition,
% 0.18/0.38 ( quantDeMorgan4
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.38 ( ? [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 & ~ ( Xphi @ Xx ) )
% 0.18/0.38 => ~ ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(prop2setI_type,type,
% 0.18/0.38 prop2setI: $o ).
% 0.18/0.38
% 0.18/0.38 thf(prop2setI,definition,
% 0.18/0.38 ( prop2setI
% 0.18/0.38 = ( ! [Xphi: $o] :
% 0.18/0.38 ( Xphi
% 0.18/0.38 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(set2prop_type,type,
% 0.18/0.38 set2prop: $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(prop2set2propI_type,type,
% 0.18/0.38 prop2set2propI: $o ).
% 0.18/0.38
% 0.18/0.38 thf(prop2set2propI,definition,
% 0.18/0.38 ( prop2set2propI
% 0.18/0.38 = ( ! [Xphi: $o] :
% 0.18/0.38 ( Xphi
% 0.18/0.38 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(notdexE_type,type,
% 0.18/0.38 notdexE: $o ).
% 0.18/0.38
% 0.18/0.38 thf(notdexE,definition,
% 0.18/0.38 ( notdexE
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.38 ( ~ ? [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 & ( Xphi @ Xx ) )
% 0.18/0.38 => ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(notdallE_type,type,
% 0.18/0.38 notdallE: $o ).
% 0.18/0.38
% 0.18/0.38 thf(notdallE,definition,
% 0.18/0.38 ( notdallE
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.38 ( ~ ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( Xphi @ Xx ) )
% 0.18/0.38 => ? [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(exuI1_type,type,
% 0.18/0.38 exuI1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(exuI1,definition,
% 0.18/0.38 ( exuI1
% 0.18/0.38 = ( ! [Xphi: $i > $o] :
% 0.18/0.38 ( ? [Xx: $i] :
% 0.18/0.38 ( ( Xphi @ Xx )
% 0.18/0.38 & ! [Xy: $i] :
% 0.18/0.38 ( ( Xphi @ Xy )
% 0.18/0.38 => ( Xx = Xy ) ) )
% 0.18/0.38 => ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(exuI3_type,type,
% 0.18/0.38 exuI3: $o ).
% 0.18/0.38
% 0.18/0.38 thf(exuI3,definition,
% 0.18/0.38 ( exuI3
% 0.18/0.38 = ( ! [Xphi: $i > $o] :
% 0.18/0.38 ( ? [Xx: $i] : ( Xphi @ Xx )
% 0.18/0.38 => ( ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xphi @ Xx )
% 0.18/0.38 => ( ( Xphi @ Xy )
% 0.18/0.38 => ( Xx = Xy ) ) )
% 0.18/0.38 => ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(exuI2_type,type,
% 0.18/0.38 exuI2: $o ).
% 0.18/0.38
% 0.18/0.38 thf(exuI2,definition,
% 0.18/0.38 ( exuI2
% 0.18/0.38 = ( ! [Xphi: $i > $o] :
% 0.18/0.38 ( ? [Xx: $i] :
% 0.18/0.38 ! [Xy: $i] :
% 0.18/0.38 ( ( Xphi @ Xy )
% 0.18/0.38 <=> ( Xy = Xx ) )
% 0.18/0.38 => ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(inCongP_type,type,
% 0.18/0.38 inCongP: $o ).
% 0.18/0.38
% 0.18/0.38 thf(inCongP,definition,
% 0.18/0.38 ( inCongP
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( A = B )
% 0.18/0.38 => ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xx = Xy )
% 0.18/0.38 => ( ( in @ Xx @ A )
% 0.18/0.38 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(in__Cong_type,type,
% 0.18/0.38 in__Cong: $o ).
% 0.18/0.38
% 0.18/0.38 thf(in__Cong,definition,
% 0.18/0.38 ( in__Cong
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( A = B )
% 0.18/0.38 => ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xx = Xy )
% 0.18/0.38 => ( ( in @ Xx @ A )
% 0.18/0.38 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(exuE3u_type,type,
% 0.18/0.38 exuE3u: $o ).
% 0.18/0.38
% 0.18/0.38 thf(exuE3u,definition,
% 0.18/0.38 ( exuE3u
% 0.18/0.38 = ( ! [Xphi: $i > $o] :
% 0.18/0.38 ( ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 => ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xphi @ Xx )
% 0.18/0.38 => ( ( Xphi @ Xy )
% 0.18/0.38 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(exu__Cong_type,type,
% 0.18/0.38 exu__Cong: $o ).
% 0.18/0.38
% 0.18/0.38 thf(exu__Cong,definition,
% 0.18/0.38 ( exu__Cong
% 0.18/0.38 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.18/0.38 ( ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xx = Xy )
% 0.18/0.38 => ( ( Xphi @ Xx )
% 0.18/0.38 <=> ( Xpsi @ Xy ) ) )
% 0.18/0.38 => ( ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 <=> ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptyset__Cong_type,type,
% 0.18/0.38 emptyset__Cong: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptyset__Cong,definition,
% 0.18/0.38 ( emptyset__Cong
% 0.18/0.38 = ( emptyset = emptyset ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoin__Cong_type,type,
% 0.18/0.38 setadjoin__Cong: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoin__Cong,definition,
% 0.18/0.38 ( setadjoin__Cong
% 0.18/0.38 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xx = Xy )
% 0.18/0.38 => ! [Xz: $i,Xu: $i] :
% 0.18/0.38 ( ( Xz = Xu )
% 0.18/0.38 => ( ( setadjoin @ Xx @ Xz )
% 0.18/0.38 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(powerset__Cong_type,type,
% 0.18/0.38 powerset__Cong: $o ).
% 0.18/0.38
% 0.18/0.38 thf(powerset__Cong,definition,
% 0.18/0.38 ( powerset__Cong
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( A = B )
% 0.18/0.38 => ( ( powerset @ A )
% 0.18/0.38 = ( powerset @ B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setunion__Cong_type,type,
% 0.18/0.38 setunion__Cong: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setunion__Cong,definition,
% 0.18/0.38 ( setunion__Cong
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( A = B )
% 0.18/0.38 => ( ( setunion @ A )
% 0.18/0.38 = ( setunion @ B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(omega__Cong_type,type,
% 0.18/0.38 omega__Cong: $o ).
% 0.18/0.38
% 0.18/0.38 thf(omega__Cong,definition,
% 0.18/0.38 ( omega__Cong
% 0.18/0.38 = ( omega = omega ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(exuEu_type,type,
% 0.18/0.38 exuEu: $o ).
% 0.18/0.38
% 0.18/0.38 thf(exuEu,definition,
% 0.18/0.38 ( exuEu
% 0.18/0.38 = ( ! [Xphi: $i > $o] :
% 0.18/0.38 ( ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 => ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xphi @ Xx )
% 0.18/0.38 => ( ( Xphi @ Xy )
% 0.18/0.38 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(descr__Cong_type,type,
% 0.18/0.38 descr__Cong: $o ).
% 0.18/0.38
% 0.18/0.38 thf(descr__Cong,definition,
% 0.18/0.38 ( descr__Cong
% 0.18/0.38 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.18/0.38 ( ! [Xx: $i,Xy: $i] :
% 0.18/0.38 ( ( Xx = Xy )
% 0.18/0.38 => ( ( Xphi @ Xx )
% 0.18/0.38 <=> ( Xpsi @ Xy ) ) )
% 0.18/0.38 => ( ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 => ( ( exu
% 0.18/0.38 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 0.18/0.38 => ( ( descr
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 = ( descr
% 0.18/0.38 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(dsetconstr__Cong_type,type,
% 0.18/0.38 dsetconstr__Cong: $o ).
% 0.18/0.38
% 0.18/0.38 thf(dsetconstr__Cong,definition,
% 0.18/0.38 ( dsetconstr__Cong
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( A = B )
% 0.18/0.38 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ! [Xy: $i] :
% 0.18/0.38 ( ( in @ Xy @ B )
% 0.18/0.38 => ( ( Xx = Xy )
% 0.18/0.38 => ( ( Xphi @ Xx )
% 0.18/0.38 <=> ( Xpsi @ Xy ) ) ) ) )
% 0.18/0.38 => ( ( dsetconstr @ A
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 = ( dsetconstr @ B
% 0.18/0.38 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(subset_type,type,
% 0.18/0.38 subset: $i > $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(disjoint_type,type,
% 0.18/0.38 disjoint: $i > $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(setsmeet_type,type,
% 0.18/0.38 setsmeet: $i > $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(subsetI1_type,type,
% 0.18/0.38 subsetI1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(subsetI1,definition,
% 0.18/0.38 ( subsetI1
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( in @ Xx @ B ) )
% 0.18/0.38 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(eqimpsubset2_type,type,
% 0.18/0.38 eqimpsubset2: $o ).
% 0.18/0.38
% 0.18/0.38 thf(eqimpsubset2,definition,
% 0.18/0.38 ( eqimpsubset2
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( A = B )
% 0.18/0.38 => ( subset @ B @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(eqimpsubset1_type,type,
% 0.18/0.38 eqimpsubset1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(eqimpsubset1,definition,
% 0.18/0.38 ( eqimpsubset1
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( A = B )
% 0.18/0.38 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(subsetI2_type,type,
% 0.18/0.38 subsetI2: $o ).
% 0.18/0.38
% 0.18/0.38 thf(subsetI2,definition,
% 0.18/0.38 ( subsetI2
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ! [Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( in @ Xx @ B ) )
% 0.18/0.38 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(emptysetsubset_type,type,
% 0.18/0.38 emptysetsubset: $o ).
% 0.18/0.38
% 0.18/0.38 thf(emptysetsubset,definition,
% 0.18/0.38 ( emptysetsubset
% 0.18/0.38 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(subsetE_type,type,
% 0.18/0.38 subsetE: $o ).
% 0.18/0.38
% 0.18/0.38 thf(subsetE,definition,
% 0.18/0.38 ( subsetE
% 0.18/0.38 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.38 ( ( subset @ A @ B )
% 0.18/0.38 => ( ( in @ Xx @ A )
% 0.18/0.38 => ( in @ Xx @ B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(subsetE2_type,type,
% 0.18/0.38 subsetE2: $o ).
% 0.18/0.38
% 0.18/0.38 thf(subsetE2,definition,
% 0.18/0.38 ( subsetE2
% 0.18/0.38 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.38 ( ( subset @ A @ B )
% 0.18/0.38 => ( ~ ( in @ Xx @ B )
% 0.18/0.38 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(notsubsetI_type,type,
% 0.18/0.38 notsubsetI: $o ).
% 0.18/0.38
% 0.18/0.38 thf(notsubsetI,definition,
% 0.18/0.38 ( notsubsetI
% 0.18/0.38 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( ~ ( in @ Xx @ B )
% 0.18/0.38 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(notequalI1_type,type,
% 0.18/0.38 notequalI1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(notequalI1,definition,
% 0.18/0.38 ( notequalI1
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ~ ( subset @ A @ B )
% 0.18/0.38 => ( A != B ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(notequalI2_type,type,
% 0.18/0.38 notequalI2: $o ).
% 0.18/0.38
% 0.18/0.38 thf(notequalI2,definition,
% 0.18/0.38 ( notequalI2
% 0.18/0.38 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.38 ( ( in @ Xx @ A )
% 0.18/0.38 => ( ~ ( in @ Xx @ B )
% 0.18/0.38 => ( A != B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(subsetRefl_type,type,
% 0.18/0.38 subsetRefl: $o ).
% 0.18/0.38
% 0.18/0.38 thf(subsetRefl,definition,
% 0.18/0.38 ( subsetRefl
% 0.18/0.38 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(subsetTrans_type,type,
% 0.18/0.38 subsetTrans: $o ).
% 0.18/0.38
% 0.18/0.38 thf(subsetTrans,definition,
% 0.18/0.38 ( subsetTrans
% 0.18/0.38 = ( ! [A: $i,B: $i,C: $i] :
% 0.18/0.38 ( ( subset @ A @ B )
% 0.18/0.38 => ( ( subset @ B @ C )
% 0.18/0.38 => ( subset @ A @ C ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinSub_type,type,
% 0.18/0.38 setadjoinSub: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinSub,definition,
% 0.18/0.38 ( setadjoinSub
% 0.18/0.38 = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinSub2_type,type,
% 0.18/0.38 setadjoinSub2: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setadjoinSub2,definition,
% 0.18/0.38 ( setadjoinSub2
% 0.18/0.38 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.18/0.38 ( ( subset @ A @ B )
% 0.18/0.38 => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(subset2powerset_type,type,
% 0.18/0.38 subset2powerset: $o ).
% 0.18/0.38
% 0.18/0.38 thf(subset2powerset,definition,
% 0.18/0.38 ( subset2powerset
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( subset @ A @ B )
% 0.18/0.38 => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(setextsub_type,type,
% 0.18/0.38 setextsub: $o ).
% 0.18/0.38
% 0.18/0.38 thf(setextsub,definition,
% 0.18/0.38 ( setextsub
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( subset @ A @ B )
% 0.18/0.38 => ( ( subset @ B @ A )
% 0.18/0.38 => ( A = B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(subsetemptysetimpeq_type,type,
% 0.18/0.38 subsetemptysetimpeq: $o ).
% 0.18/0.38
% 0.18/0.38 thf(subsetemptysetimpeq,definition,
% 0.18/0.38 ( subsetemptysetimpeq
% 0.18/0.38 = ( ! [A: $i] :
% 0.18/0.38 ( ( subset @ A @ emptyset )
% 0.18/0.38 => ( A = emptyset ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(powersetI1_type,type,
% 0.18/0.38 powersetI1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(powersetI1,definition,
% 0.18/0.38 ( powersetI1
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( subset @ B @ A )
% 0.18/0.38 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(powersetE1_type,type,
% 0.18/0.38 powersetE1: $o ).
% 0.18/0.38
% 0.18/0.38 thf(powersetE1,definition,
% 0.18/0.38 ( powersetE1
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( in @ B @ ( powerset @ A ) )
% 0.18/0.38 => ( subset @ B @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(inPowerset_type,type,
% 0.18/0.38 inPowerset: $o ).
% 0.18/0.38
% 0.18/0.38 thf(inPowerset,definition,
% 0.18/0.38 ( inPowerset
% 0.18/0.38 = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(powersetsubset_type,type,
% 0.18/0.38 powersetsubset: $o ).
% 0.18/0.38
% 0.18/0.38 thf(powersetsubset,definition,
% 0.18/0.38 ( powersetsubset
% 0.18/0.38 = ( ! [A: $i,B: $i] :
% 0.18/0.38 ( ( subset @ A @ B )
% 0.18/0.38 => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(sepInPowerset_type,type,
% 0.18/0.38 sepInPowerset: $o ).
% 0.18/0.38
% 0.18/0.38 thf(sepInPowerset,definition,
% 0.18/0.38 ( sepInPowerset
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.38 ( in
% 0.18/0.38 @ ( dsetconstr @ A
% 0.18/0.38 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.38 @ ( powerset @ A ) ) ) ) ).
% 0.18/0.38
% 0.18/0.38 thf(sepSubset_type,type,
% 0.18/0.38 sepSubset: $o ).
% 0.18/0.38
% 0.18/0.38 thf(sepSubset,definition,
% 0.18/0.38 ( sepSubset
% 0.18/0.38 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.39 ( subset
% 0.18/0.39 @ ( dsetconstr @ A
% 0.18/0.39 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.39 @ A ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binunion_type,type,
% 0.18/0.39 binunion: $i > $i > $i ).
% 0.18/0.39
% 0.18/0.39 thf(binunionIL_type,type,
% 0.18/0.39 binunionIL: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binunionIL,definition,
% 0.18/0.39 ( binunionIL
% 0.18/0.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.39 ( ( in @ Xx @ A )
% 0.18/0.39 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(upairset2IR_type,type,
% 0.18/0.39 upairset2IR: $o ).
% 0.18/0.39
% 0.18/0.39 thf(upairset2IR,definition,
% 0.18/0.39 ( upairset2IR
% 0.18/0.39 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binunionIR_type,type,
% 0.18/0.39 binunionIR: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binunionIR,definition,
% 0.18/0.39 ( binunionIR
% 0.18/0.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.39 ( ( in @ Xx @ B )
% 0.18/0.39 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binunionEcases_type,type,
% 0.18/0.39 binunionEcases: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binunionEcases,definition,
% 0.18/0.39 ( binunionEcases
% 0.18/0.39 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 0.18/0.39 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.18/0.39 => ( ( ( in @ Xx @ A )
% 0.18/0.39 => Xphi )
% 0.18/0.39 => ( ( ( in @ Xx @ B )
% 0.18/0.39 => Xphi )
% 0.18/0.39 => Xphi ) ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binunionE_type,type,
% 0.18/0.39 binunionE: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binunionE,definition,
% 0.18/0.39 ( binunionE
% 0.18/0.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.39 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.18/0.39 => ( ( in @ Xx @ A )
% 0.18/0.39 | ( in @ Xx @ B ) ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binunionLsub_type,type,
% 0.18/0.39 binunionLsub: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binunionLsub,definition,
% 0.18/0.39 ( binunionLsub
% 0.18/0.39 = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binunionRsub_type,type,
% 0.18/0.39 binunionRsub: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binunionRsub,definition,
% 0.18/0.39 ( binunionRsub
% 0.18/0.39 = ( ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binintersect_type,type,
% 0.18/0.39 binintersect: $i > $i > $i ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectI_type,type,
% 0.18/0.39 binintersectI: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectI,definition,
% 0.18/0.39 ( binintersectI
% 0.18/0.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.39 ( ( in @ Xx @ A )
% 0.18/0.39 => ( ( in @ Xx @ B )
% 0.18/0.39 => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectSubset5_type,type,
% 0.18/0.39 binintersectSubset5: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectSubset5,definition,
% 0.18/0.39 ( binintersectSubset5
% 0.18/0.39 = ( ! [A: $i,B: $i,C: $i] :
% 0.18/0.39 ( ( subset @ C @ A )
% 0.18/0.39 => ( ( subset @ C @ B )
% 0.18/0.39 => ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectEL_type,type,
% 0.18/0.39 binintersectEL: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectEL,definition,
% 0.18/0.39 ( binintersectEL
% 0.18/0.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.39 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 0.18/0.39 => ( in @ Xx @ A ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectLsub_type,type,
% 0.18/0.39 binintersectLsub: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectLsub,definition,
% 0.18/0.39 ( binintersectLsub
% 0.18/0.39 = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ A ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectSubset2_type,type,
% 0.18/0.39 binintersectSubset2: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectSubset2,definition,
% 0.18/0.39 ( binintersectSubset2
% 0.18/0.39 = ( ! [A: $i,B: $i] :
% 0.18/0.39 ( ( subset @ A @ B )
% 0.18/0.39 => ( ( binintersect @ A @ B )
% 0.18/0.39 = A ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectSubset3_type,type,
% 0.18/0.39 binintersectSubset3: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectSubset3,definition,
% 0.18/0.39 ( binintersectSubset3
% 0.18/0.39 = ( ! [A: $i,B: $i] :
% 0.18/0.39 ( ( ( binintersect @ A @ B )
% 0.18/0.39 = B )
% 0.18/0.39 => ( subset @ B @ A ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectER_type,type,
% 0.18/0.39 binintersectER: $o ).
% 0.18/0.39
% 0.18/0.39 thf(binintersectER,definition,
% 0.18/0.39 ( binintersectER
% 0.18/0.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.39 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 0.18/0.39 => ( in @ Xx @ B ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 thf(disjointsetsI1,conjecture,
% 0.18/0.39 ( setextAx
% 0.18/0.39 => ( emptysetAx
% 0.18/0.39 => ( setadjoinAx
% 0.18/0.39 => ( powersetAx
% 0.18/0.39 => ( setunionAx
% 0.18/0.39 => ( omega0Ax
% 0.18/0.39 => ( omegaSAx
% 0.18/0.39 => ( omegaIndAx
% 0.18/0.39 => ( replAx
% 0.18/0.39 => ( foundationAx
% 0.18/0.39 => ( wellorderingAx
% 0.18/0.39 => ( descrp
% 0.18/0.39 => ( dsetconstrI
% 0.18/0.39 => ( dsetconstrEL
% 0.18/0.39 => ( dsetconstrER
% 0.18/0.39 => ( exuE1
% 0.18/0.39 => ( prop2setE
% 0.18/0.39 => ( emptysetE
% 0.18/0.39 => ( emptysetimpfalse
% 0.18/0.39 => ( notinemptyset
% 0.18/0.39 => ( exuE3e
% 0.18/0.39 => ( setext
% 0.18/0.39 => ( emptyI
% 0.18/0.39 => ( noeltsimpempty
% 0.18/0.39 => ( setbeta
% 0.18/0.39 => ( nonemptyE1
% 0.18/0.39 => ( nonemptyI
% 0.18/0.39 => ( nonemptyI1
% 0.18/0.39 => ( setadjoinIL
% 0.18/0.39 => ( emptyinunitempty
% 0.18/0.39 => ( setadjoinIR
% 0.18/0.39 => ( setadjoinE
% 0.18/0.39 => ( setadjoinOr
% 0.18/0.39 => ( setoftrueEq
% 0.18/0.39 => ( powersetI
% 0.18/0.39 => ( emptyinPowerset
% 0.18/0.39 => ( emptyInPowerset
% 0.18/0.39 => ( powersetE
% 0.18/0.39 => ( setunionI
% 0.18/0.39 => ( setunionE
% 0.18/0.39 => ( subPowSU
% 0.18/0.39 => ( exuE2
% 0.18/0.39 => ( nonemptyImpWitness
% 0.18/0.39 => ( uniqinunit
% 0.18/0.39 => ( notinsingleton
% 0.18/0.39 => ( eqinunit
% 0.18/0.39 => ( singletonsswitch
% 0.18/0.39 => ( upairsetE
% 0.18/0.39 => ( upairsetIL
% 0.18/0.39 => ( upairsetIR
% 0.18/0.39 => ( emptyE1
% 0.18/0.39 => ( vacuousDall
% 0.18/0.39 => ( quantDeMorgan1
% 0.18/0.39 => ( quantDeMorgan2
% 0.18/0.39 => ( quantDeMorgan3
% 0.18/0.39 => ( quantDeMorgan4
% 0.18/0.39 => ( prop2setI
% 0.18/0.39 => ( prop2set2propI
% 0.18/0.39 => ( notdexE
% 0.18/0.39 => ( notdallE
% 0.18/0.39 => ( exuI1
% 0.18/0.39 => ( exuI3
% 0.18/0.39 => ( exuI2
% 0.18/0.39 => ( inCongP
% 0.18/0.39 => ( in__Cong
% 0.18/0.39 => ( exuE3u
% 0.18/0.39 => ( exu__Cong
% 0.18/0.39 => ( emptyset__Cong
% 0.18/0.39 => ( setadjoin__Cong
% 0.18/0.39 => ( powerset__Cong
% 0.18/0.39 => ( setunion__Cong
% 0.18/0.39 => ( omega__Cong
% 0.18/0.39 => ( exuEu
% 0.18/0.39 => ( descr__Cong
% 0.18/0.39 => ( dsetconstr__Cong
% 0.18/0.39 => ( subsetI1
% 0.18/0.39 => ( eqimpsubset2
% 0.18/0.39 => ( eqimpsubset1
% 0.18/0.39 => ( subsetI2
% 0.18/0.39 => ( emptysetsubset
% 0.18/0.39 => ( subsetE
% 0.18/0.39 => ( subsetE2
% 0.18/0.39 => ( notsubsetI
% 0.18/0.39 => ( notequalI1
% 0.18/0.39 => ( notequalI2
% 0.18/0.39 => ( subsetRefl
% 0.18/0.39 => ( subsetTrans
% 0.18/0.39 => ( setadjoinSub
% 0.18/0.39 => ( setadjoinSub2
% 0.18/0.39 => ( subset2powerset
% 0.18/0.39 => ( setextsub
% 0.18/0.39 => ( subsetemptysetimpeq
% 0.18/0.39 => ( powersetI1
% 0.18/0.39 => ( powersetE1
% 0.18/0.39 => ( inPowerset
% 0.18/0.39 => ( powersetsubset
% 0.18/0.39 => ( sepInPowerset
% 0.18/0.39 => ( sepSubset
% 0.18/0.39 => ( binunionIL
% 0.18/0.39 => ( upairset2IR
% 0.18/0.39 => ( binunionIR
% 0.18/0.39 => ( binunionEcases
% 0.18/0.39 => ( binunionE
% 0.18/0.39 => ( binunionLsub
% 0.18/0.39 => ( binunionRsub
% 0.18/0.39 => ( binintersectI
% 0.18/0.39 => ( binintersectSubset5
% 0.18/0.39 => ( binintersectEL
% 0.18/0.39 => ( binintersectLsub
% 0.18/0.39 => ( binintersectSubset2
% 0.18/0.39 => ( binintersectSubset3
% 0.18/0.39 => ( binintersectER
% 0.18/0.39 => ! [A: $i,B: $i] :
% 0.18/0.39 ( ~ ? [Xx: $i] :
% 0.18/0.39 ( ( in @ Xx @ A )
% 0.18/0.39 & ( in @ Xx @ B ) )
% 0.18/0.39 => ( ( binintersect @ A @ B )
% 0.18/0.39 = emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.18/0.39
% 0.18/0.39 %------------------------------------------------------------------------------
% 0.18/0.39 ------------------------
% 2.46/1.52 ---- Embedded in THF ---
% 2.46/1.52 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.46/1.52 %%% Generated on Tue Feb 24 12:28:01 EST 2026
% 2.46/1.52 %%% using '$$dhol' embedding, version 1.3.0.
% 2.46/1.52 %%% Logic specification used:
% 2.46/1.52 %%% thf(spec, logic, $$dhol).
% 2.46/1.52
% 2.46/1.52 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.7FrhcRyUQJ/DTF2DTF29384.p
% See solution above
% 2.46/1.52 ------------------------
% 2.46/1.54 ---- Cleaned THF ---
% 2.46/1.54 thf(in_type,type,
% 2.46/1.54 in: $i > $i > $o ).
% 2.46/1.54
% 2.46/1.54 thf(exu_type,type,
% 2.46/1.54 exu: ( $i > $o ) > $o ).
% 2.46/1.54
% 2.46/1.54 thf(exu,definition,
% 2.46/1.54 ( exu
% 2.46/1.54 = ( ^ [Xphi: $i > $o] :
% 2.46/1.54 ? [Xx: $i] :
% 2.46/1.54 ( ( Xphi @ Xx )
% 2.46/1.54 & ! [Xy: $i] :
% 2.46/1.54 ( ( Xphi @ Xy )
% 2.46/1.54 => ( Xx = Xy ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(setextAx_type,type,
% 2.46/1.54 setextAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(setextAx,definition,
% 2.46/1.54 ( setextAx
% 2.46/1.54 = ( ! [A: $i,B: $i] :
% 2.46/1.54 ( ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ A )
% 2.46/1.54 <=> ( in @ Xx @ B ) )
% 2.46/1.54 => ( A = B ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(emptyset_type,type,
% 2.46/1.54 emptyset: $i ).
% 2.46/1.54
% 2.46/1.54 thf(emptysetAx_type,type,
% 2.46/1.54 emptysetAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(emptysetAx,definition,
% 2.46/1.54 ( emptysetAx
% 2.46/1.54 = ( ! [Xx: $i] :
% 2.46/1.54 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(setadjoin_type,type,
% 2.46/1.54 setadjoin: $i > $i > $i ).
% 2.46/1.54
% 2.46/1.54 thf(setadjoinAx_type,type,
% 2.46/1.54 setadjoinAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(setadjoinAx,definition,
% 2.46/1.54 ( setadjoinAx
% 2.46/1.54 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.46/1.54 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.46/1.54 <=> ( ( Xy = Xx )
% 2.46/1.54 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(powerset_type,type,
% 2.46/1.54 powerset: $i > $i ).
% 2.46/1.54
% 2.46/1.54 thf(powersetAx_type,type,
% 2.46/1.54 powersetAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(powersetAx,definition,
% 2.46/1.54 ( powersetAx
% 2.46/1.54 = ( ! [A: $i,B: $i] :
% 2.46/1.54 ( ( in @ B @ ( powerset @ A ) )
% 2.46/1.54 <=> ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ B )
% 2.46/1.54 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(setunion_type,type,
% 2.46/1.54 setunion: $i > $i ).
% 2.46/1.54
% 2.46/1.54 thf(setunionAx_type,type,
% 2.46/1.54 setunionAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(setunionAx,definition,
% 2.46/1.54 ( setunionAx
% 2.46/1.54 = ( ! [A: $i,Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ ( setunion @ A ) )
% 2.46/1.54 <=> ? [B: $i] :
% 2.46/1.54 ( ( in @ Xx @ B )
% 2.46/1.54 & ( in @ B @ A ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(omega_type,type,
% 2.46/1.54 omega: $i ).
% 2.46/1.54
% 2.46/1.54 thf(omega0Ax_type,type,
% 2.46/1.54 omega0Ax: $o ).
% 2.46/1.54
% 2.46/1.54 thf(omega0Ax,definition,
% 2.46/1.54 ( omega0Ax
% 2.46/1.54 = ( in @ emptyset @ omega ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(omegaSAx_type,type,
% 2.46/1.54 omegaSAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(omegaSAx,definition,
% 2.46/1.54 ( omegaSAx
% 2.46/1.54 = ( ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ omega )
% 2.46/1.54 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(omegaIndAx_type,type,
% 2.46/1.54 omegaIndAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(omegaIndAx,definition,
% 2.46/1.54 ( omegaIndAx
% 2.46/1.54 = ( ! [A: $i] :
% 2.46/1.54 ( ( ( in @ emptyset @ A )
% 2.46/1.54 & ! [Xx: $i] :
% 2.46/1.54 ( ( ( in @ Xx @ omega )
% 2.46/1.54 & ( in @ Xx @ A ) )
% 2.46/1.54 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 2.46/1.54 => ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ omega )
% 2.46/1.54 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(replAx_type,type,
% 2.46/1.54 replAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(replAx,definition,
% 2.46/1.54 ( replAx
% 2.46/1.54 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 2.46/1.54 ( ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ A )
% 2.46/1.54 => ( exu
% 2.46/1.54 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 2.46/1.54 => ? [B: $i] :
% 2.46/1.54 ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ B )
% 2.46/1.54 <=> ? [Xy: $i] :
% 2.46/1.54 ( ( in @ Xy @ A )
% 2.46/1.54 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(foundationAx_type,type,
% 2.46/1.54 foundationAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(foundationAx,definition,
% 2.46/1.54 ( foundationAx
% 2.46/1.54 = ( ! [A: $i] :
% 2.46/1.54 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.46/1.54 => ? [B: $i] :
% 2.46/1.54 ( ( in @ B @ A )
% 2.46/1.54 & ~ ? [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ B )
% 2.46/1.54 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(wellorderingAx_type,type,
% 2.46/1.54 wellorderingAx: $o ).
% 2.46/1.54
% 2.46/1.54 thf(wellorderingAx,definition,
% 2.46/1.54 ( wellorderingAx
% 2.46/1.54 = ( ! [A: $i] :
% 2.46/1.54 ? [B: $i] :
% 2.46/1.54 ( ! [C: $i] :
% 2.46/1.54 ( ( in @ C @ B )
% 2.46/1.54 => ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ C )
% 2.46/1.54 => ( in @ Xx @ A ) ) )
% 2.46/1.54 & ! [Xx: $i,Xy: $i] :
% 2.46/1.54 ( ( ( in @ Xx @ A )
% 2.46/1.54 & ( in @ Xy @ A ) )
% 2.46/1.54 => ( ! [C: $i] :
% 2.46/1.54 ( ( in @ C @ B )
% 2.46/1.54 => ( ( in @ Xx @ C )
% 2.46/1.54 <=> ( in @ Xy @ C ) ) )
% 2.46/1.54 => ( Xx = Xy ) ) )
% 2.46/1.54 & ! [C: $i,D: $i] :
% 2.46/1.54 ( ( ( in @ C @ B )
% 2.46/1.54 & ( in @ D @ B ) )
% 2.46/1.54 => ( ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ C )
% 2.46/1.54 => ( in @ Xx @ D ) )
% 2.46/1.54 | ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ D )
% 2.46/1.54 => ( in @ Xx @ C ) ) ) )
% 2.46/1.54 & ! [C: $i] :
% 2.46/1.54 ( ( ! [Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ C )
% 2.46/1.54 => ( in @ Xx @ A ) )
% 2.46/1.54 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 2.46/1.54 => ? [D: $i,Xx: $i] :
% 2.46/1.54 ( ( in @ D @ B )
% 2.46/1.54 & ( in @ Xx @ C )
% 2.46/1.54 & ~ ? [Xy: $i] :
% 2.46/1.54 ( ( in @ Xy @ D )
% 2.46/1.54 & ( in @ Xy @ C ) )
% 2.46/1.54 & ! [E: $i] :
% 2.46/1.54 ( ( in @ E @ B )
% 2.46/1.54 => ( ! [Xy: $i] :
% 2.46/1.54 ( ( in @ Xy @ E )
% 2.46/1.54 => ( in @ Xy @ D ) )
% 2.46/1.54 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(descr_type,type,
% 2.46/1.54 descr: ( $i > $o ) > $i ).
% 2.46/1.54
% 2.46/1.54 thf(descrp_type,type,
% 2.46/1.54 descrp: $o ).
% 2.46/1.54
% 2.46/1.54 thf(descrp,definition,
% 2.46/1.54 ( descrp
% 2.46/1.54 = ( ! [Xphi: $i > $o] :
% 2.46/1.54 ( ( exu
% 2.46/1.54 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.54 => ( Xphi
% 2.46/1.54 @ ( descr
% 2.46/1.54 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(dsetconstr_type,type,
% 2.46/1.54 dsetconstr: $i > ( $i > $o ) > $i ).
% 2.46/1.54
% 2.46/1.54 thf(dsetconstrI_type,type,
% 2.46/1.54 dsetconstrI: $o ).
% 2.46/1.54
% 2.46/1.54 thf(dsetconstrI,definition,
% 2.46/1.54 ( dsetconstrI
% 2.46/1.54 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.46/1.54 ( ( in @ Xx @ A )
% 2.46/1.54 => ( ( Xphi @ Xx )
% 2.46/1.54 => ( in @ Xx
% 2.46/1.54 @ ( dsetconstr @ A
% 2.46/1.54 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(dsetconstrEL_type,type,
% 2.46/1.54 dsetconstrEL: $o ).
% 2.46/1.54
% 2.46/1.54 thf(dsetconstrEL,definition,
% 2.46/1.54 ( dsetconstrEL
% 2.46/1.54 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.46/1.54 ( ( in @ Xx
% 2.46/1.54 @ ( dsetconstr @ A
% 2.46/1.54 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.46/1.54 => ( in @ Xx @ A ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(dsetconstrER_type,type,
% 2.46/1.54 dsetconstrER: $o ).
% 2.46/1.54
% 2.46/1.54 thf(dsetconstrER,definition,
% 2.46/1.54 ( dsetconstrER
% 2.46/1.54 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.46/1.54 ( ( in @ Xx
% 2.46/1.54 @ ( dsetconstr @ A
% 2.46/1.54 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.46/1.54 => ( Xphi @ Xx ) ) ) ) ).
% 2.46/1.54
% 2.46/1.54 thf(exuE1_type,type,
% 2.46/1.54 exuE1: $o ).
% 2.46/1.54
% 2.46/1.54 thf(exuE1,definition,
% 2.46/1.54 ( exuE1
% 2.46/1.54 = ( ! [Xphi: $i > $o] :
% 2.46/1.55 ( ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 => ? [Xx: $i] :
% 2.46/1.55 ( ( Xphi @ Xx )
% 2.46/1.55 & ! [Xy: $i] :
% 2.46/1.55 ( ( Xphi @ Xy )
% 2.46/1.55 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(prop2set_type,type,
% 2.46/1.55 prop2set: $o > $i ).
% 2.46/1.55
% 2.46/1.55 thf(prop2setE_type,type,
% 2.46/1.55 prop2setE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(prop2setE,definition,
% 2.46/1.55 ( prop2setE
% 2.46/1.55 = ( ! [Xphi: $o,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 2.46/1.55 => Xphi ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(emptysetE_type,type,
% 2.46/1.55 emptysetE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(emptysetE,definition,
% 2.46/1.55 ( emptysetE
% 2.46/1.55 = ( ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ emptyset )
% 2.46/1.55 => ! [Xphi: $o] : Xphi ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(emptysetimpfalse_type,type,
% 2.46/1.55 emptysetimpfalse: $o ).
% 2.46/1.55
% 2.46/1.55 thf(emptysetimpfalse,definition,
% 2.46/1.55 ( emptysetimpfalse
% 2.46/1.55 = ( ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ emptyset )
% 2.46/1.55 => $false ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(notinemptyset_type,type,
% 2.46/1.55 notinemptyset: $o ).
% 2.46/1.55
% 2.46/1.55 thf(notinemptyset,definition,
% 2.46/1.55 ( notinemptyset
% 2.46/1.55 = ( ! [Xx: $i] :
% 2.46/1.55 ~ ( in @ Xx @ emptyset ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(exuE3e_type,type,
% 2.46/1.55 exuE3e: $o ).
% 2.46/1.55
% 2.46/1.55 thf(exuE3e,definition,
% 2.46/1.55 ( exuE3e
% 2.46/1.55 = ( ! [Xphi: $i > $o] :
% 2.46/1.55 ( ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setext_type,type,
% 2.46/1.55 setext: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setext,definition,
% 2.46/1.55 ( setext
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( in @ Xx @ B ) )
% 2.46/1.55 => ( ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ B )
% 2.46/1.55 => ( in @ Xx @ A ) )
% 2.46/1.55 => ( A = B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(emptyI_type,type,
% 2.46/1.55 emptyI: $o ).
% 2.46/1.55
% 2.46/1.55 thf(emptyI,definition,
% 2.46/1.55 ( emptyI
% 2.46/1.55 = ( ! [A: $i] :
% 2.46/1.55 ( ! [Xx: $i] :
% 2.46/1.55 ~ ( in @ Xx @ A )
% 2.46/1.55 => ( A = emptyset ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(noeltsimpempty_type,type,
% 2.46/1.55 noeltsimpempty: $o ).
% 2.46/1.55
% 2.46/1.55 thf(noeltsimpempty,definition,
% 2.46/1.55 ( noeltsimpempty
% 2.46/1.55 = ( ! [A: $i] :
% 2.46/1.55 ( ! [Xx: $i] :
% 2.46/1.55 ~ ( in @ Xx @ A )
% 2.46/1.55 => ( A = emptyset ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setbeta_type,type,
% 2.46/1.55 setbeta: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setbeta,definition,
% 2.46/1.55 ( setbeta
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( ( in @ Xx
% 2.46/1.55 @ ( dsetconstr @ A
% 2.46/1.55 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 2.46/1.55 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(nonempty_type,type,
% 2.46/1.55 nonempty: $i > $o ).
% 2.46/1.55
% 2.46/1.55 thf(nonempty,definition,
% 2.46/1.55 ( nonempty
% 2.46/1.55 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(nonemptyE1_type,type,
% 2.46/1.55 nonemptyE1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(nonemptyE1,definition,
% 2.46/1.55 ( nonemptyE1
% 2.46/1.55 = ( ! [A: $i] :
% 2.46/1.55 ( ( nonempty @ A )
% 2.46/1.55 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(nonemptyI_type,type,
% 2.46/1.55 nonemptyI: $o ).
% 2.46/1.55
% 2.46/1.55 thf(nonemptyI,definition,
% 2.46/1.55 ( nonemptyI
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( ( Xphi @ Xx )
% 2.46/1.55 => ( nonempty
% 2.46/1.55 @ ( dsetconstr @ A
% 2.46/1.55 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(nonemptyI1_type,type,
% 2.46/1.55 nonemptyI1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(nonemptyI1,definition,
% 2.46/1.55 ( nonemptyI1
% 2.46/1.55 = ( ! [A: $i] :
% 2.46/1.55 ( ? [Xx: $i] : ( in @ Xx @ A )
% 2.46/1.55 => ( nonempty @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinIL_type,type,
% 2.46/1.55 setadjoinIL: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinIL,definition,
% 2.46/1.55 ( setadjoinIL
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(emptyinunitempty_type,type,
% 2.46/1.55 emptyinunitempty: $o ).
% 2.46/1.55
% 2.46/1.55 thf(emptyinunitempty,definition,
% 2.46/1.55 ( emptyinunitempty
% 2.46/1.55 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinIR_type,type,
% 2.46/1.55 setadjoinIR: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinIR,definition,
% 2.46/1.55 ( setadjoinIR
% 2.46/1.55 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.46/1.55 ( ( in @ Xy @ A )
% 2.46/1.55 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinE_type,type,
% 2.46/1.55 setadjoinE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinE,definition,
% 2.46/1.55 ( setadjoinE
% 2.46/1.55 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.46/1.55 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.46/1.55 => ! [Xphi: $o] :
% 2.46/1.55 ( ( ( Xy = Xx )
% 2.46/1.55 => Xphi )
% 2.46/1.55 => ( ( ( in @ Xy @ A )
% 2.46/1.55 => Xphi )
% 2.46/1.55 => Xphi ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinOr_type,type,
% 2.46/1.55 setadjoinOr: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinOr,definition,
% 2.46/1.55 ( setadjoinOr
% 2.46/1.55 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 2.46/1.55 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 2.46/1.55 => ( ( Xy = Xx )
% 2.46/1.55 | ( in @ Xy @ A ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setoftrueEq_type,type,
% 2.46/1.55 setoftrueEq: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setoftrueEq,definition,
% 2.46/1.55 ( setoftrueEq
% 2.46/1.55 = ( ! [A: $i] :
% 2.46/1.55 ( ( dsetconstr @ A
% 2.46/1.55 @ ^ [Xx: $i] : $true )
% 2.46/1.55 = A ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(powersetI_type,type,
% 2.46/1.55 powersetI: $o ).
% 2.46/1.55
% 2.46/1.55 thf(powersetI,definition,
% 2.46/1.55 ( powersetI
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ B )
% 2.46/1.55 => ( in @ Xx @ A ) )
% 2.46/1.55 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(emptyinPowerset_type,type,
% 2.46/1.55 emptyinPowerset: $o ).
% 2.46/1.55
% 2.46/1.55 thf(emptyinPowerset,definition,
% 2.46/1.55 ( emptyinPowerset
% 2.46/1.55 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(emptyInPowerset_type,type,
% 2.46/1.55 emptyInPowerset: $o ).
% 2.46/1.55
% 2.46/1.55 thf(emptyInPowerset,definition,
% 2.46/1.55 ( emptyInPowerset
% 2.46/1.55 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(powersetE_type,type,
% 2.46/1.55 powersetE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(powersetE,definition,
% 2.46/1.55 ( powersetE
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ B @ ( powerset @ A ) )
% 2.46/1.55 => ( ( in @ Xx @ B )
% 2.46/1.55 => ( in @ Xx @ A ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setunionI_type,type,
% 2.46/1.55 setunionI: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setunionI,definition,
% 2.46/1.55 ( setunionI
% 2.46/1.55 = ( ! [A: $i,Xx: $i,B: $i] :
% 2.46/1.55 ( ( in @ Xx @ B )
% 2.46/1.55 => ( ( in @ B @ A )
% 2.46/1.55 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setunionE_type,type,
% 2.46/1.55 setunionE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setunionE,definition,
% 2.46/1.55 ( setunionE
% 2.46/1.55 = ( ! [A: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ ( setunion @ A ) )
% 2.46/1.55 => ! [Xphi: $o] :
% 2.46/1.55 ( ! [B: $i] :
% 2.46/1.55 ( ( in @ Xx @ B )
% 2.46/1.55 => ( ( in @ B @ A )
% 2.46/1.55 => Xphi ) )
% 2.46/1.55 => Xphi ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(subPowSU_type,type,
% 2.46/1.55 subPowSU: $o ).
% 2.46/1.55
% 2.46/1.55 thf(subPowSU,definition,
% 2.46/1.55 ( subPowSU
% 2.46/1.55 = ( ! [A: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(exuE2_type,type,
% 2.46/1.55 exuE2: $o ).
% 2.46/1.55
% 2.46/1.55 thf(exuE2,definition,
% 2.46/1.55 ( exuE2
% 2.46/1.55 = ( ! [Xphi: $i > $o] :
% 2.46/1.55 ( ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 => ? [Xx: $i] :
% 2.46/1.55 ! [Xy: $i] :
% 2.46/1.55 ( ( Xphi @ Xy )
% 2.46/1.55 <=> ( Xy = Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(nonemptyImpWitness_type,type,
% 2.46/1.55 nonemptyImpWitness: $o ).
% 2.46/1.55
% 2.46/1.55 thf(nonemptyImpWitness,definition,
% 2.46/1.55 ( nonemptyImpWitness
% 2.46/1.55 = ( ! [A: $i] :
% 2.46/1.55 ( ( nonempty @ A )
% 2.46/1.55 => ? [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 & $true ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(uniqinunit_type,type,
% 2.46/1.55 uniqinunit: $o ).
% 2.46/1.55
% 2.46/1.55 thf(uniqinunit,definition,
% 2.46/1.55 ( uniqinunit
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.46/1.55 => ( Xx = Xy ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(notinsingleton_type,type,
% 2.46/1.55 notinsingleton: $o ).
% 2.46/1.55
% 2.46/1.55 thf(notinsingleton,definition,
% 2.46/1.55 ( notinsingleton
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xx != Xy )
% 2.46/1.55 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(eqinunit_type,type,
% 2.46/1.55 eqinunit: $o ).
% 2.46/1.55
% 2.46/1.55 thf(eqinunit,definition,
% 2.46/1.55 ( eqinunit
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xx = Xy )
% 2.46/1.55 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(singletonsswitch_type,type,
% 2.46/1.55 singletonsswitch: $o ).
% 2.46/1.55
% 2.46/1.55 thf(singletonsswitch,definition,
% 2.46/1.55 ( singletonsswitch
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 2.46/1.55 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(upairsetE_type,type,
% 2.46/1.55 upairsetE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(upairsetE,definition,
% 2.46/1.55 ( upairsetE
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 2.46/1.55 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 2.46/1.55 => ( ( Xz = Xx )
% 2.46/1.55 | ( Xz = Xy ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(upairsetIL_type,type,
% 2.46/1.55 upairsetIL: $o ).
% 2.46/1.55
% 2.46/1.55 thf(upairsetIL,definition,
% 2.46/1.55 ( upairsetIL
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(upairsetIR_type,type,
% 2.46/1.55 upairsetIR: $o ).
% 2.46/1.55
% 2.46/1.55 thf(upairsetIR,definition,
% 2.46/1.55 ( upairsetIR
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(emptyE1_type,type,
% 2.46/1.55 emptyE1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(emptyE1,definition,
% 2.46/1.55 ( emptyE1
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o] :
% 2.46/1.55 ( ? [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 & ( Xphi @ Xx ) )
% 2.46/1.55 => ( ( ( dsetconstr @ A
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 = emptyset )
% 2.46/1.55 => $false ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(vacuousDall_type,type,
% 2.46/1.55 vacuousDall: $o ).
% 2.46/1.55
% 2.46/1.55 thf(vacuousDall,definition,
% 2.46/1.55 ( vacuousDall
% 2.46/1.55 = ( ! [Xphi: $i > $o,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ emptyset )
% 2.46/1.55 => ( Xphi @ Xx ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(quantDeMorgan1_type,type,
% 2.46/1.55 quantDeMorgan1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(quantDeMorgan1,definition,
% 2.46/1.55 ( quantDeMorgan1
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o] :
% 2.46/1.55 ( ~ ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( Xphi @ Xx ) )
% 2.46/1.55 => ? [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(quantDeMorgan2_type,type,
% 2.46/1.55 quantDeMorgan2: $o ).
% 2.46/1.55
% 2.46/1.55 thf(quantDeMorgan2,definition,
% 2.46/1.55 ( quantDeMorgan2
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o] :
% 2.46/1.55 ( ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ~ ( Xphi @ Xx ) )
% 2.46/1.55 => ~ ? [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 & ( Xphi @ Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(quantDeMorgan3_type,type,
% 2.46/1.55 quantDeMorgan3: $o ).
% 2.46/1.55
% 2.46/1.55 thf(quantDeMorgan3,definition,
% 2.46/1.55 ( quantDeMorgan3
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o] :
% 2.46/1.55 ( ~ ? [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 & ( Xphi @ Xx ) )
% 2.46/1.55 => ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(quantDeMorgan4_type,type,
% 2.46/1.55 quantDeMorgan4: $o ).
% 2.46/1.55
% 2.46/1.55 thf(quantDeMorgan4,definition,
% 2.46/1.55 ( quantDeMorgan4
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o] :
% 2.46/1.55 ( ? [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 & ~ ( Xphi @ Xx ) )
% 2.46/1.55 => ~ ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( Xphi @ Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(prop2setI_type,type,
% 2.46/1.55 prop2setI: $o ).
% 2.46/1.55
% 2.46/1.55 thf(prop2setI,definition,
% 2.46/1.55 ( prop2setI
% 2.46/1.55 = ( ! [Xphi: $o] :
% 2.46/1.55 ( Xphi
% 2.46/1.55 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(set2prop_type,type,
% 2.46/1.55 set2prop: $i > $o ).
% 2.46/1.55
% 2.46/1.55 thf(prop2set2propI_type,type,
% 2.46/1.55 prop2set2propI: $o ).
% 2.46/1.55
% 2.46/1.55 thf(prop2set2propI,definition,
% 2.46/1.55 ( prop2set2propI
% 2.46/1.55 = ( ! [Xphi: $o] :
% 2.46/1.55 ( Xphi
% 2.46/1.55 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(notdexE_type,type,
% 2.46/1.55 notdexE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(notdexE,definition,
% 2.46/1.55 ( notdexE
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o] :
% 2.46/1.55 ( ~ ? [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 & ( Xphi @ Xx ) )
% 2.46/1.55 => ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(notdallE_type,type,
% 2.46/1.55 notdallE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(notdallE,definition,
% 2.46/1.55 ( notdallE
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o] :
% 2.46/1.55 ( ~ ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( Xphi @ Xx ) )
% 2.46/1.55 => ? [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(exuI1_type,type,
% 2.46/1.55 exuI1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(exuI1,definition,
% 2.46/1.55 ( exuI1
% 2.46/1.55 = ( ! [Xphi: $i > $o] :
% 2.46/1.55 ( ? [Xx: $i] :
% 2.46/1.55 ( ( Xphi @ Xx )
% 2.46/1.55 & ! [Xy: $i] :
% 2.46/1.55 ( ( Xphi @ Xy )
% 2.46/1.55 => ( Xx = Xy ) ) )
% 2.46/1.55 => ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(exuI3_type,type,
% 2.46/1.55 exuI3: $o ).
% 2.46/1.55
% 2.46/1.55 thf(exuI3,definition,
% 2.46/1.55 ( exuI3
% 2.46/1.55 = ( ! [Xphi: $i > $o] :
% 2.46/1.55 ( ? [Xx: $i] : ( Xphi @ Xx )
% 2.46/1.55 => ( ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xphi @ Xx )
% 2.46/1.55 => ( ( Xphi @ Xy )
% 2.46/1.55 => ( Xx = Xy ) ) )
% 2.46/1.55 => ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(exuI2_type,type,
% 2.46/1.55 exuI2: $o ).
% 2.46/1.55
% 2.46/1.55 thf(exuI2,definition,
% 2.46/1.55 ( exuI2
% 2.46/1.55 = ( ! [Xphi: $i > $o] :
% 2.46/1.55 ( ? [Xx: $i] :
% 2.46/1.55 ! [Xy: $i] :
% 2.46/1.55 ( ( Xphi @ Xy )
% 2.46/1.55 <=> ( Xy = Xx ) )
% 2.46/1.55 => ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(inCongP_type,type,
% 2.46/1.55 inCongP: $o ).
% 2.46/1.55
% 2.46/1.55 thf(inCongP,definition,
% 2.46/1.55 ( inCongP
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( A = B )
% 2.46/1.55 => ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xx = Xy )
% 2.46/1.55 => ( ( in @ Xx @ A )
% 2.46/1.55 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(in__Cong_type,type,
% 2.46/1.55 in__Cong: $o ).
% 2.46/1.55
% 2.46/1.55 thf(in__Cong,definition,
% 2.46/1.55 ( in__Cong
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( A = B )
% 2.46/1.55 => ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xx = Xy )
% 2.46/1.55 => ( ( in @ Xx @ A )
% 2.46/1.55 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(exuE3u_type,type,
% 2.46/1.55 exuE3u: $o ).
% 2.46/1.55
% 2.46/1.55 thf(exuE3u,definition,
% 2.46/1.55 ( exuE3u
% 2.46/1.55 = ( ! [Xphi: $i > $o] :
% 2.46/1.55 ( ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 => ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xphi @ Xx )
% 2.46/1.55 => ( ( Xphi @ Xy )
% 2.46/1.55 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(exu__Cong_type,type,
% 2.46/1.55 exu__Cong: $o ).
% 2.46/1.55
% 2.46/1.55 thf(exu__Cong,definition,
% 2.46/1.55 ( exu__Cong
% 2.46/1.55 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.46/1.55 ( ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xx = Xy )
% 2.46/1.55 => ( ( Xphi @ Xx )
% 2.46/1.55 <=> ( Xpsi @ Xy ) ) )
% 2.46/1.55 => ( ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 <=> ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(emptyset__Cong_type,type,
% 2.46/1.55 emptyset__Cong: $o ).
% 2.46/1.55
% 2.46/1.55 thf(emptyset__Cong,definition,
% 2.46/1.55 ( emptyset__Cong
% 2.46/1.55 = ( emptyset = emptyset ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoin__Cong_type,type,
% 2.46/1.55 setadjoin__Cong: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoin__Cong,definition,
% 2.46/1.55 ( setadjoin__Cong
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xx = Xy )
% 2.46/1.55 => ! [Xz: $i,Xu: $i] :
% 2.46/1.55 ( ( Xz = Xu )
% 2.46/1.55 => ( ( setadjoin @ Xx @ Xz )
% 2.46/1.55 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(powerset__Cong_type,type,
% 2.46/1.55 powerset__Cong: $o ).
% 2.46/1.55
% 2.46/1.55 thf(powerset__Cong,definition,
% 2.46/1.55 ( powerset__Cong
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( A = B )
% 2.46/1.55 => ( ( powerset @ A )
% 2.46/1.55 = ( powerset @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setunion__Cong_type,type,
% 2.46/1.55 setunion__Cong: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setunion__Cong,definition,
% 2.46/1.55 ( setunion__Cong
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( A = B )
% 2.46/1.55 => ( ( setunion @ A )
% 2.46/1.55 = ( setunion @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(omega__Cong_type,type,
% 2.46/1.55 omega__Cong: $o ).
% 2.46/1.55
% 2.46/1.55 thf(omega__Cong,definition,
% 2.46/1.55 ( omega__Cong
% 2.46/1.55 = ( omega = omega ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(exuEu_type,type,
% 2.46/1.55 exuEu: $o ).
% 2.46/1.55
% 2.46/1.55 thf(exuEu,definition,
% 2.46/1.55 ( exuEu
% 2.46/1.55 = ( ! [Xphi: $i > $o] :
% 2.46/1.55 ( ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 => ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xphi @ Xx )
% 2.46/1.55 => ( ( Xphi @ Xy )
% 2.46/1.55 => ( Xx = Xy ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(descr__Cong_type,type,
% 2.46/1.55 descr__Cong: $o ).
% 2.46/1.55
% 2.46/1.55 thf(descr__Cong,definition,
% 2.46/1.55 ( descr__Cong
% 2.46/1.55 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.46/1.55 ( ! [Xx: $i,Xy: $i] :
% 2.46/1.55 ( ( Xx = Xy )
% 2.46/1.55 => ( ( Xphi @ Xx )
% 2.46/1.55 <=> ( Xpsi @ Xy ) ) )
% 2.46/1.55 => ( ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 => ( ( exu
% 2.46/1.55 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 2.46/1.55 => ( ( descr
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 = ( descr
% 2.46/1.55 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(dsetconstr__Cong_type,type,
% 2.46/1.55 dsetconstr__Cong: $o ).
% 2.46/1.55
% 2.46/1.55 thf(dsetconstr__Cong,definition,
% 2.46/1.55 ( dsetconstr__Cong
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( A = B )
% 2.46/1.55 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 2.46/1.55 ( ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ! [Xy: $i] :
% 2.46/1.55 ( ( in @ Xy @ B )
% 2.46/1.55 => ( ( Xx = Xy )
% 2.46/1.55 => ( ( Xphi @ Xx )
% 2.46/1.55 <=> ( Xpsi @ Xy ) ) ) ) )
% 2.46/1.55 => ( ( dsetconstr @ A
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 = ( dsetconstr @ B
% 2.46/1.55 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(subset_type,type,
% 2.46/1.55 subset: $i > $i > $o ).
% 2.46/1.55
% 2.46/1.55 thf(disjoint_type,type,
% 2.46/1.55 disjoint: $i > $i > $o ).
% 2.46/1.55
% 2.46/1.55 thf(setsmeet_type,type,
% 2.46/1.55 setsmeet: $i > $i > $o ).
% 2.46/1.55
% 2.46/1.55 thf(subsetI1_type,type,
% 2.46/1.55 subsetI1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(subsetI1,definition,
% 2.46/1.55 ( subsetI1
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( in @ Xx @ B ) )
% 2.46/1.55 => ( subset @ A @ B ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(eqimpsubset2_type,type,
% 2.46/1.55 eqimpsubset2: $o ).
% 2.46/1.55
% 2.46/1.55 thf(eqimpsubset2,definition,
% 2.46/1.55 ( eqimpsubset2
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( A = B )
% 2.46/1.55 => ( subset @ B @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(eqimpsubset1_type,type,
% 2.46/1.55 eqimpsubset1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(eqimpsubset1,definition,
% 2.46/1.55 ( eqimpsubset1
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( A = B )
% 2.46/1.55 => ( subset @ A @ B ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(subsetI2_type,type,
% 2.46/1.55 subsetI2: $o ).
% 2.46/1.55
% 2.46/1.55 thf(subsetI2,definition,
% 2.46/1.55 ( subsetI2
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ! [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( in @ Xx @ B ) )
% 2.46/1.55 => ( subset @ A @ B ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(emptysetsubset_type,type,
% 2.46/1.55 emptysetsubset: $o ).
% 2.46/1.55
% 2.46/1.55 thf(emptysetsubset,definition,
% 2.46/1.55 ( emptysetsubset
% 2.46/1.55 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(subsetE_type,type,
% 2.46/1.55 subsetE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(subsetE,definition,
% 2.46/1.55 ( subsetE
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( subset @ A @ B )
% 2.46/1.55 => ( ( in @ Xx @ A )
% 2.46/1.55 => ( in @ Xx @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(subsetE2_type,type,
% 2.46/1.55 subsetE2: $o ).
% 2.46/1.55
% 2.46/1.55 thf(subsetE2,definition,
% 2.46/1.55 ( subsetE2
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( subset @ A @ B )
% 2.46/1.55 => ( ~ ( in @ Xx @ B )
% 2.46/1.55 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(notsubsetI_type,type,
% 2.46/1.55 notsubsetI: $o ).
% 2.46/1.55
% 2.46/1.55 thf(notsubsetI,definition,
% 2.46/1.55 ( notsubsetI
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( ~ ( in @ Xx @ B )
% 2.46/1.55 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(notequalI1_type,type,
% 2.46/1.55 notequalI1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(notequalI1,definition,
% 2.46/1.55 ( notequalI1
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ~ ( subset @ A @ B )
% 2.46/1.55 => ( A != B ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(notequalI2_type,type,
% 2.46/1.55 notequalI2: $o ).
% 2.46/1.55
% 2.46/1.55 thf(notequalI2,definition,
% 2.46/1.55 ( notequalI2
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( ~ ( in @ Xx @ B )
% 2.46/1.55 => ( A != B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(subsetRefl_type,type,
% 2.46/1.55 subsetRefl: $o ).
% 2.46/1.55
% 2.46/1.55 thf(subsetRefl,definition,
% 2.46/1.55 ( subsetRefl
% 2.46/1.55 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(subsetTrans_type,type,
% 2.46/1.55 subsetTrans: $o ).
% 2.46/1.55
% 2.46/1.55 thf(subsetTrans,definition,
% 2.46/1.55 ( subsetTrans
% 2.46/1.55 = ( ! [A: $i,B: $i,C: $i] :
% 2.46/1.55 ( ( subset @ A @ B )
% 2.46/1.55 => ( ( subset @ B @ C )
% 2.46/1.55 => ( subset @ A @ C ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinSub_type,type,
% 2.46/1.55 setadjoinSub: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinSub,definition,
% 2.46/1.55 ( setadjoinSub
% 2.46/1.55 = ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinSub2_type,type,
% 2.46/1.55 setadjoinSub2: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setadjoinSub2,definition,
% 2.46/1.55 ( setadjoinSub2
% 2.46/1.55 = ( ! [A: $i,Xx: $i,B: $i] :
% 2.46/1.55 ( ( subset @ A @ B )
% 2.46/1.55 => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(subset2powerset_type,type,
% 2.46/1.55 subset2powerset: $o ).
% 2.46/1.55
% 2.46/1.55 thf(subset2powerset,definition,
% 2.46/1.55 ( subset2powerset
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( subset @ A @ B )
% 2.46/1.55 => ( in @ A @ ( powerset @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(setextsub_type,type,
% 2.46/1.55 setextsub: $o ).
% 2.46/1.55
% 2.46/1.55 thf(setextsub,definition,
% 2.46/1.55 ( setextsub
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( subset @ A @ B )
% 2.46/1.55 => ( ( subset @ B @ A )
% 2.46/1.55 => ( A = B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(subsetemptysetimpeq_type,type,
% 2.46/1.55 subsetemptysetimpeq: $o ).
% 2.46/1.55
% 2.46/1.55 thf(subsetemptysetimpeq,definition,
% 2.46/1.55 ( subsetemptysetimpeq
% 2.46/1.55 = ( ! [A: $i] :
% 2.46/1.55 ( ( subset @ A @ emptyset )
% 2.46/1.55 => ( A = emptyset ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(powersetI1_type,type,
% 2.46/1.55 powersetI1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(powersetI1,definition,
% 2.46/1.55 ( powersetI1
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( subset @ B @ A )
% 2.46/1.55 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(powersetE1_type,type,
% 2.46/1.55 powersetE1: $o ).
% 2.46/1.55
% 2.46/1.55 thf(powersetE1,definition,
% 2.46/1.55 ( powersetE1
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( in @ B @ ( powerset @ A ) )
% 2.46/1.55 => ( subset @ B @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(inPowerset_type,type,
% 2.46/1.55 inPowerset: $o ).
% 2.46/1.55
% 2.46/1.55 thf(inPowerset,definition,
% 2.46/1.55 ( inPowerset
% 2.46/1.55 = ( ! [A: $i] : ( in @ A @ ( powerset @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(powersetsubset_type,type,
% 2.46/1.55 powersetsubset: $o ).
% 2.46/1.55
% 2.46/1.55 thf(powersetsubset,definition,
% 2.46/1.55 ( powersetsubset
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( subset @ A @ B )
% 2.46/1.55 => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(sepInPowerset_type,type,
% 2.46/1.55 sepInPowerset: $o ).
% 2.46/1.55
% 2.46/1.55 thf(sepInPowerset,definition,
% 2.46/1.55 ( sepInPowerset
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o] :
% 2.46/1.55 ( in
% 2.46/1.55 @ ( dsetconstr @ A
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 @ ( powerset @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(sepSubset_type,type,
% 2.46/1.55 sepSubset: $o ).
% 2.46/1.55
% 2.46/1.55 thf(sepSubset,definition,
% 2.46/1.55 ( sepSubset
% 2.46/1.55 = ( ! [A: $i,Xphi: $i > $o] :
% 2.46/1.55 ( subset
% 2.46/1.55 @ ( dsetconstr @ A
% 2.46/1.55 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 2.46/1.55 @ A ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binunion_type,type,
% 2.46/1.55 binunion: $i > $i > $i ).
% 2.46/1.55
% 2.46/1.55 thf(binunionIL_type,type,
% 2.46/1.55 binunionIL: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binunionIL,definition,
% 2.46/1.55 ( binunionIL
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(upairset2IR_type,type,
% 2.46/1.55 upairset2IR: $o ).
% 2.46/1.55
% 2.46/1.55 thf(upairset2IR,definition,
% 2.46/1.55 ( upairset2IR
% 2.46/1.55 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binunionIR_type,type,
% 2.46/1.55 binunionIR: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binunionIR,definition,
% 2.46/1.55 ( binunionIR
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ B )
% 2.46/1.55 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binunionEcases_type,type,
% 2.46/1.55 binunionEcases: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binunionEcases,definition,
% 2.46/1.55 ( binunionEcases
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 2.46/1.55 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.46/1.55 => ( ( ( in @ Xx @ A )
% 2.46/1.55 => Xphi )
% 2.46/1.55 => ( ( ( in @ Xx @ B )
% 2.46/1.55 => Xphi )
% 2.46/1.55 => Xphi ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binunionE_type,type,
% 2.46/1.55 binunionE: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binunionE,definition,
% 2.46/1.55 ( binunionE
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 2.46/1.55 => ( ( in @ Xx @ A )
% 2.46/1.55 | ( in @ Xx @ B ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binunionLsub_type,type,
% 2.46/1.55 binunionLsub: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binunionLsub,definition,
% 2.46/1.55 ( binunionLsub
% 2.46/1.55 = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binunionRsub_type,type,
% 2.46/1.55 binunionRsub: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binunionRsub,definition,
% 2.46/1.55 ( binunionRsub
% 2.46/1.55 = ( ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binintersect_type,type,
% 2.46/1.55 binintersect: $i > $i > $i ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectI_type,type,
% 2.46/1.55 binintersectI: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectI,definition,
% 2.46/1.55 ( binintersectI
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 => ( ( in @ Xx @ B )
% 2.46/1.55 => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectSubset5_type,type,
% 2.46/1.55 binintersectSubset5: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectSubset5,definition,
% 2.46/1.55 ( binintersectSubset5
% 2.46/1.55 = ( ! [A: $i,B: $i,C: $i] :
% 2.46/1.55 ( ( subset @ C @ A )
% 2.46/1.55 => ( ( subset @ C @ B )
% 2.46/1.55 => ( subset @ C @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectEL_type,type,
% 2.46/1.55 binintersectEL: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectEL,definition,
% 2.46/1.55 ( binintersectEL
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 2.46/1.55 => ( in @ Xx @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectLsub_type,type,
% 2.46/1.55 binintersectLsub: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectLsub,definition,
% 2.46/1.55 ( binintersectLsub
% 2.46/1.55 = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ A ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectSubset2_type,type,
% 2.46/1.55 binintersectSubset2: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectSubset2,definition,
% 2.46/1.55 ( binintersectSubset2
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( subset @ A @ B )
% 2.46/1.55 => ( ( binintersect @ A @ B )
% 2.46/1.55 = A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectSubset3_type,type,
% 2.46/1.55 binintersectSubset3: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectSubset3,definition,
% 2.46/1.55 ( binintersectSubset3
% 2.46/1.55 = ( ! [A: $i,B: $i] :
% 2.46/1.55 ( ( ( binintersect @ A @ B )
% 2.46/1.55 = B )
% 2.46/1.55 => ( subset @ B @ A ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectER_type,type,
% 2.46/1.55 binintersectER: $o ).
% 2.46/1.55
% 2.46/1.55 thf(binintersectER,definition,
% 2.46/1.55 ( binintersectER
% 2.46/1.55 = ( ! [A: $i,B: $i,Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 2.46/1.55 => ( in @ Xx @ B ) ) ) ) ).
% 2.46/1.55
% 2.46/1.55 thf(disjointsetsI1,conjecture,
% 2.46/1.55 ( setextAx
% 2.46/1.55 => ( emptysetAx
% 2.46/1.55 => ( setadjoinAx
% 2.46/1.55 => ( powersetAx
% 2.46/1.55 => ( setunionAx
% 2.46/1.55 => ( omega0Ax
% 2.46/1.55 => ( omegaSAx
% 2.46/1.55 => ( omegaIndAx
% 2.46/1.55 => ( replAx
% 2.46/1.55 => ( foundationAx
% 2.46/1.55 => ( wellorderingAx
% 2.46/1.55 => ( descrp
% 2.46/1.55 => ( dsetconstrI
% 2.46/1.55 => ( dsetconstrEL
% 2.46/1.55 => ( dsetconstrER
% 2.46/1.55 => ( exuE1
% 2.46/1.55 => ( prop2setE
% 2.46/1.55 => ( emptysetE
% 2.46/1.55 => ( emptysetimpfalse
% 2.46/1.55 => ( notinemptyset
% 2.46/1.55 => ( exuE3e
% 2.46/1.55 => ( setext
% 2.46/1.55 => ( emptyI
% 2.46/1.55 => ( noeltsimpempty
% 2.46/1.55 => ( setbeta
% 2.46/1.55 => ( nonemptyE1
% 2.46/1.55 => ( nonemptyI
% 2.46/1.55 => ( nonemptyI1
% 2.46/1.55 => ( setadjoinIL
% 2.46/1.55 => ( emptyinunitempty
% 2.46/1.55 => ( setadjoinIR
% 2.46/1.55 => ( setadjoinE
% 2.46/1.55 => ( setadjoinOr
% 2.46/1.55 => ( setoftrueEq
% 2.46/1.55 => ( powersetI
% 2.46/1.55 => ( emptyinPowerset
% 2.46/1.55 => ( emptyInPowerset
% 2.46/1.55 => ( powersetE
% 2.46/1.55 => ( setunionI
% 2.46/1.55 => ( setunionE
% 2.46/1.55 => ( subPowSU
% 2.46/1.55 => ( exuE2
% 2.46/1.55 => ( nonemptyImpWitness
% 2.46/1.55 => ( uniqinunit
% 2.46/1.55 => ( notinsingleton
% 2.46/1.55 => ( eqinunit
% 2.46/1.55 => ( singletonsswitch
% 2.46/1.55 => ( upairsetE
% 2.46/1.55 => ( upairsetIL
% 2.46/1.55 => ( upairsetIR
% 2.46/1.55 => ( emptyE1
% 2.46/1.55 => ( vacuousDall
% 2.46/1.55 => ( quantDeMorgan1
% 2.46/1.55 => ( quantDeMorgan2
% 2.46/1.55 => ( quantDeMorgan3
% 2.46/1.55 => ( quantDeMorgan4
% 2.46/1.55 => ( prop2setI
% 2.46/1.55 => ( prop2set2propI
% 2.46/1.55 => ( notdexE
% 2.46/1.55 => ( notdallE
% 2.46/1.55 => ( exuI1
% 2.46/1.55 => ( exuI3
% 2.46/1.55 => ( exuI2
% 2.46/1.55 => ( inCongP
% 2.46/1.55 => ( in__Cong
% 2.46/1.55 => ( exuE3u
% 2.46/1.55 => ( exu__Cong
% 2.46/1.55 => ( emptyset__Cong
% 2.46/1.55 => ( setadjoin__Cong
% 2.46/1.55 => ( powerset__Cong
% 2.46/1.55 => ( setunion__Cong
% 2.46/1.55 => ( omega__Cong
% 2.46/1.55 => ( exuEu
% 2.46/1.55 => ( descr__Cong
% 2.46/1.55 => ( dsetconstr__Cong
% 2.46/1.55 => ( subsetI1
% 2.46/1.55 => ( eqimpsubset2
% 2.46/1.55 => ( eqimpsubset1
% 2.46/1.55 => ( subsetI2
% 2.46/1.55 => ( emptysetsubset
% 2.46/1.55 => ( subsetE
% 2.46/1.55 => ( subsetE2
% 2.46/1.55 => ( notsubsetI
% 2.46/1.55 => ( notequalI1
% 2.46/1.55 => ( notequalI2
% 2.46/1.55 => ( subsetRefl
% 2.46/1.55 => ( subsetTrans
% 2.46/1.55 => ( setadjoinSub
% 2.46/1.55 => ( setadjoinSub2
% 2.46/1.55 => ( subset2powerset
% 2.46/1.55 => ( setextsub
% 2.46/1.55 => ( subsetemptysetimpeq
% 2.46/1.55 => ( powersetI1
% 2.46/1.55 => ( powersetE1
% 2.46/1.55 => ( inPowerset
% 2.46/1.55 => ( powersetsubset
% 2.46/1.55 => ( sepInPowerset
% 2.46/1.55 => ( sepSubset
% 2.46/1.55 => ( binunionIL
% 2.46/1.55 => ( upairset2IR
% 2.46/1.55 => ( binunionIR
% 2.46/1.55 => ( binunionEcases
% 2.46/1.55 => ( binunionE
% 2.46/1.55 => ( binunionLsub
% 2.46/1.55 => ( binunionRsub
% 2.46/1.55 => ( binintersectI
% 2.46/1.55 => ( binintersectSubset5
% 2.46/1.55 => ( binintersectEL
% 2.46/1.55 => ( binintersectLsub
% 2.46/1.55 => ( binintersectSubset2
% 2.46/1.55 => ( binintersectSubset3
% 2.46/1.55 => ( binintersectER
% 2.46/1.55 => ! [A: $i,B: $i] :
% 2.46/1.55 ( ~ ? [Xx: $i] :
% 2.46/1.55 ( ( in @ Xx @ A )
% 2.46/1.55 & ( in @ Xx @ B ) )
% 2.46/1.55 => ( ( binintersect @ A @ B )
% 2.46/1.55 = emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.46/1.55 ------------------------
% 2.46/1.57 % (29484)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_29384 for (2999ds/4Mi)
% 2.46/1.57 % (29488)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_29384 for (2999ds/275Mi)
% 2.46/1.57 % (29487)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_29384 for (2999ds/2Mi)
% 2.46/1.57 % (29489)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/18Mi)
% 2.46/1.57 % (29486)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/2Mi)
% 2.46/1.57 % (29485)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_29384 for (2999ds/27Mi)
% 2.46/1.57 % (29483)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/183Mi)
% 2.46/1.57 % (29486)Instruction limit reached!
% 2.46/1.57 % (29486)------------------------------
% 2.46/1.57 % (29486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.46/1.57 % (29486)Termination reason: Unknown
% 2.46/1.57 % (29486)Termination phase: shuffling
% 2.46/1.57
% 2.46/1.57 % (29486)Memory used [KB]: 1151
% 2.46/1.57 % (29486)Time elapsed: 0.003 s
% 2.46/1.57 % (29486)Instructions burned: 2 (million)
% 2.46/1.57 % (29486)------------------------------
% 2.46/1.57 % (29486)------------------------------
% 2.46/1.57 % (29487)Instruction limit reached!
% 2.46/1.57 % (29487)------------------------------
% 2.46/1.57 % (29487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.46/1.57 % (29487)Termination reason: Unknown
% 2.46/1.57 % (29487)Termination phase: shuffling
% 2.46/1.57
% 2.46/1.57 % (29487)Memory used [KB]: 1151
% 2.46/1.57 % (29487)Time elapsed: 0.003 s
% 2.46/1.57 % (29487)Instructions burned: 2 (million)
% 2.46/1.57 % (29487)------------------------------
% 2.46/1.57 % (29487)------------------------------
% 2.46/1.57 % (29484)Instruction limit reached!
% 2.46/1.57 % (29484)------------------------------
% 2.46/1.57 % (29484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.46/1.57 % (29484)Termination reason: Unknown
% 2.46/1.57 % (29484)Termination phase: shuffling
% 2.46/1.57
% 2.46/1.57 % (29484)Memory used [KB]: 1279
% 2.46/1.57 % (29484)Time elapsed: 0.004 s
% 2.46/1.57 % (29484)Instructions burned: 4 (million)
% 2.46/1.57 % (29484)------------------------------
% 2.46/1.57 % (29484)------------------------------
% 2.46/1.58 % (29489)Instruction limit reached!
% 2.46/1.58 % (29489)------------------------------
% 2.46/1.58 % (29489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.46/1.58 % (29489)Termination reason: Unknown
% 2.46/1.58 % (29489)Termination phase: Preprocessing 3
% 2.46/1.58
% 2.46/1.58 % (29489)Memory used [KB]: 1535
% 2.46/1.58 % (29489)Time elapsed: 0.011 s
% 2.46/1.58 % (29489)Instructions burned: 19 (million)
% 2.46/1.58 % (29489)------------------------------
% 2.46/1.58 % (29489)------------------------------
% 2.46/1.58 % (29485)Instruction limit reached!
% 2.46/1.58 % (29485)------------------------------
% 2.46/1.58 % (29485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.46/1.58 % (29485)Termination reason: Unknown
% 2.46/1.58 % (29485)Termination phase: Property scanning
% 2.46/1.58
% 2.46/1.58 % (29485)Memory used [KB]: 1535
% 2.46/1.58 % (29485)Time elapsed: 0.015 s
% 2.46/1.58 % (29485)Instructions burned: 29 (million)
% 2.46/1.58 % (29485)------------------------------
% 2.46/1.58 % (29485)------------------------------
% 2.46/1.59 % (29490)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/3Mi)
% 2.46/1.59 % (29491)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_29384 for (2999ds/37Mi)
% 2.46/1.59 % (29492)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_29384 for (2999ds/15Mi)
% 2.46/1.59 % (29490)Instruction limit reached!
% 2.46/1.59 % (29490)------------------------------
% 2.46/1.59 % (29490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.46/1.59 % (29490)Termination reason: Unknown
% 2.46/1.59 % (29490)Termination phase: shuffling
% 2.46/1.59
% 2.46/1.59 % (29490)Memory used [KB]: 1151
% 2.46/1.59 % (29490)Time elapsed: 0.003 s
% 2.46/1.59 % (29490)Instructions burned: 3 (million)
% 2.46/1.59 % (29490)------------------------------
% 2.46/1.59 % (29490)------------------------------
% 2.53/1.60 % (29493)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_29384 for (2999ds/3Mi)
% 2.53/1.60 % (29492)Instruction limit reached!
% 2.53/1.60 % (29492)------------------------------
% 2.53/1.60 % (29492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.60 % (29492)Termination reason: Unknown
% 2.53/1.60 % (29492)Termination phase: Naming
% 2.53/1.60
% 2.53/1.60 % (29492)Memory used [KB]: 1407
% 2.53/1.60 % (29492)Time elapsed: 0.009 s
% 2.53/1.60 % (29492)Instructions burned: 16 (million)
% 2.53/1.60 % (29492)------------------------------
% 2.53/1.60 % (29492)------------------------------
% 2.53/1.60 % (29493)Instruction limit reached!
% 2.53/1.60 % (29493)------------------------------
% 2.53/1.60 % (29493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.60 % (29493)Termination reason: Unknown
% 2.53/1.60 % (29493)Termination phase: shuffling
% 2.53/1.60
% 2.53/1.60 % (29493)Memory used [KB]: 1151
% 2.53/1.60 % (29493)Time elapsed: 0.003 s
% 2.53/1.60 % (29493)Instructions burned: 3 (million)
% 2.53/1.60 % (29493)------------------------------
% 2.53/1.60 % (29493)------------------------------
% 2.53/1.60 % (29494)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_29384 for (2999ds/1041Mi)
% 2.53/1.60 % (29491)Instruction limit reached!
% 2.53/1.60 % (29491)------------------------------
% 2.53/1.60 % (29491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.60 % (29491)Termination reason: Unknown
% 2.53/1.60 % (29491)Termination phase: Property scanning
% 2.53/1.60
% 2.53/1.60 % (29491)Memory used [KB]: 1535
% 2.53/1.61 % (29491)Time elapsed: 0.018 s
% 2.53/1.61 % (29491)Instructions burned: 37 (million)
% 2.53/1.61 % (29491)------------------------------
% 2.53/1.61 % (29491)------------------------------
% 2.53/1.61 % (29495)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/7Mi)
% 2.53/1.61 % (29495)Instruction limit reached!
% 2.53/1.61 % (29495)------------------------------
% 2.53/1.61 % (29495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.61 % (29495)Termination reason: Unknown
% 2.53/1.61 % (29495)Termination phase: shuffling
% 2.53/1.61
% 2.53/1.61 % (29495)Memory used [KB]: 1279
% 2.53/1.61 % (29495)Time elapsed: 0.005 s
% 2.53/1.61 % (29495)Instructions burned: 8 (million)
% 2.53/1.61 % (29495)------------------------------
% 2.53/1.61 % (29495)------------------------------
% 2.53/1.61 % (29496)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/16Mi)
% 2.53/1.61 % (29497)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_29384 for (2999ds/3Mi)
% 2.53/1.62 % (29497)Instruction limit reached!
% 2.53/1.62 % (29497)------------------------------
% 2.53/1.62 % (29497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.62 % (29497)Termination reason: Unknown
% 2.53/1.62 % (29497)Termination phase: shuffling
% 2.53/1.62
% 2.53/1.62 % (29497)Memory used [KB]: 1279
% 2.53/1.62 % (29497)Time elapsed: 0.003 s
% 2.53/1.62 % (29497)Instructions burned: 3 (million)
% 2.53/1.62 % (29497)------------------------------
% 2.53/1.62 % (29497)------------------------------
% 2.53/1.62 % (29496)Instruction limit reached!
% 2.53/1.62 % (29496)------------------------------
% 2.53/1.62 % (29496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.62 % (29496)Termination reason: Unknown
% 2.53/1.62 % (29496)Termination phase: Property scanning
% 2.53/1.62
% 2.53/1.62 % (29496)Memory used [KB]: 1535
% 2.53/1.62 % (29496)Time elapsed: 0.009 s
% 2.53/1.62 % (29496)Instructions burned: 17 (million)
% 2.53/1.62 % (29496)------------------------------
% 2.53/1.62 % (29496)------------------------------
% 2.53/1.62 % (29498)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_29384 for (2999ds/3Mi)
% 2.53/1.62 % (29498)Instruction limit reached!
% 2.53/1.62 % (29498)------------------------------
% 2.53/1.62 % (29498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.62 % (29498)Termination reason: Unknown
% 2.53/1.62 % (29498)Termination phase: shuffling
% 2.53/1.62
% 2.53/1.62 % (29498)Memory used [KB]: 1151
% 2.53/1.62 % (29498)Time elapsed: 0.003 s
% 2.53/1.62 % (29498)Instructions burned: 3 (million)
% 2.53/1.62 % (29498)------------------------------
% 2.53/1.62 % (29498)------------------------------
% 2.53/1.63 % (29499)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/7Mi)
% 2.53/1.63 % (29499)Instruction limit reached!
% 2.53/1.63 % (29499)------------------------------
% 2.53/1.63 % (29499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.63 % (29499)Termination reason: Unknown
% 2.53/1.63 % (29499)Termination phase: shuffling
% 2.53/1.63
% 2.53/1.63 % (29499)Memory used [KB]: 1279
% 2.53/1.63 % (29499)Time elapsed: 0.005 s
% 2.53/1.63 % (29499)Instructions burned: 8 (million)
% 2.53/1.63 % (29499)------------------------------
% 2.53/1.63 % (29499)------------------------------
% 2.53/1.63 % (29500)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/3Mi)
% 2.53/1.63 % (29500)Instruction limit reached!
% 2.53/1.63 % (29500)------------------------------
% 2.53/1.63 % (29500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.63 % (29500)Termination reason: Unknown
% 2.53/1.63 % (29500)Termination phase: shuffling
% 2.53/1.63
% 2.53/1.63 % (29500)Memory used [KB]: 1151
% 2.53/1.63 % (29500)Time elapsed: 0.003 s
% 2.53/1.63 % (29500)Instructions burned: 4 (million)
% 2.53/1.63 % (29500)------------------------------
% 2.53/1.63 % (29500)------------------------------
% 2.53/1.64 % (29501)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/4Mi)
% 2.53/1.64 % (29501)Instruction limit reached!
% 2.53/1.64 % (29501)------------------------------
% 2.53/1.64 % (29501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.64 % (29501)Termination reason: Unknown
% 2.53/1.64 % (29501)Termination phase: shuffling
% 2.53/1.64
% 2.53/1.64 % (29501)Memory used [KB]: 1279
% 2.53/1.64 % (29501)Time elapsed: 0.003 s
% 2.53/1.64 % (29501)Instructions burned: 4 (million)
% 2.53/1.64 % (29501)------------------------------
% 2.53/1.64 % (29501)------------------------------
% 2.53/1.64 % (29502)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/18Mi)
% 2.53/1.64 % (29503)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/710Mi)
% 2.53/1.65 % (29502)Instruction limit reached!
% 2.53/1.65 % (29502)------------------------------
% 2.53/1.65 % (29502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.65 % (29502)Termination reason: Unknown
% 2.53/1.65 % (29502)Termination phase: Property scanning
% 2.53/1.65
% 2.53/1.65 % (29502)Memory used [KB]: 1535
% 2.53/1.65 % (29502)Time elapsed: 0.010 s
% 2.53/1.65 % (29502)Instructions burned: 19 (million)
% 2.53/1.65 % (29502)------------------------------
% 2.53/1.65 % (29502)------------------------------
% 2.53/1.65 % (29504)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/6Mi)
% 2.53/1.65 % (29504)Instruction limit reached!
% 2.53/1.65 % (29504)------------------------------
% 2.53/1.65 % (29504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.65 % (29504)Termination reason: Unknown
% 2.53/1.65 % (29504)Termination phase: shuffling
% 2.53/1.65
% 2.53/1.65 % (29504)Memory used [KB]: 1279
% 2.53/1.65 % (29504)Time elapsed: 0.004 s
% 2.53/1.65 % (29504)Instructions burned: 6 (million)
% 2.53/1.65 % (29504)------------------------------
% 2.53/1.65 % (29504)------------------------------
% 2.53/1.65 % (29505)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_29384 for (2999ds/902Mi)
% 2.53/1.66 % (29483)Instruction limit reached!
% 2.53/1.66 % (29483)------------------------------
% 2.53/1.66 % (29483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.66 % (29483)Termination reason: Unknown
% 2.53/1.66 % (29483)Termination phase: Saturation
% 2.53/1.66
% 2.53/1.66 % (29483)Memory used [KB]: 6908
% 2.53/1.66 % (29483)Time elapsed: 0.089 s
% 2.53/1.66 % (29483)Instructions burned: 184 (million)
% 2.53/1.66 % (29483)------------------------------
% 2.53/1.66 % (29483)------------------------------
% 2.53/1.66 % (29506)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_29384 for (2999ds/21Mi)
% 2.53/1.67 % (29507)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_29384 for (2999ds/5Mi)
% 2.53/1.67 % (29507)Instruction limit reached!
% 2.53/1.67 % (29507)------------------------------
% 2.53/1.67 % (29507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.67 % (29507)Termination reason: Unknown
% 2.53/1.67 % (29507)Termination phase: shuffling
% 2.53/1.67
% 2.53/1.67 % (29507)Memory used [KB]: 1279
% 2.53/1.67 % (29507)Time elapsed: 0.004 s
% 2.53/1.67 % (29507)Instructions burned: 6 (million)
% 2.53/1.67 % (29507)------------------------------
% 2.53/1.67 % (29507)------------------------------
% 2.53/1.67 % (29506)Instruction limit reached!
% 2.53/1.67 % (29506)------------------------------
% 2.53/1.67 % (29506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.67 % (29506)Termination reason: Unknown
% 2.53/1.67 % (29506)Termination phase: Property scanning
% 2.53/1.67
% 2.53/1.67 % (29506)Memory used [KB]: 1535
% 2.53/1.67 % (29506)Time elapsed: 0.011 s
% 2.53/1.67 % (29506)Instructions burned: 21 (million)
% 2.53/1.67 % (29506)------------------------------
% 2.53/1.67 % (29506)------------------------------
% 2.53/1.67 % (29508)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_29384 for (2999ds/6Mi)
% 2.53/1.68 % (29508)Instruction limit reached!
% 2.53/1.68 % (29508)------------------------------
% 2.53/1.68 % (29508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.68 % (29508)Termination reason: Unknown
% 2.53/1.68 % (29508)Termination phase: shuffling
% 2.53/1.68
% 2.53/1.68 % (29508)Memory used [KB]: 1279
% 2.53/1.68 % (29508)Time elapsed: 0.004 s
% 2.53/1.68 % (29508)Instructions burned: 6 (million)
% 2.53/1.68 % (29508)------------------------------
% 2.53/1.68 % (29508)------------------------------
% 2.53/1.69 % (29509)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_29384 for (2998ds/377Mi)
% 2.53/1.69 % (29510)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_29384 for (2998ds/779Mi)
% 2.53/1.69 % (29511)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_29384 for (2998ds/19Mi)
% 2.53/1.70 % (29511)Instruction limit reached!
% 2.53/1.70 % (29511)------------------------------
% 2.53/1.70 % (29511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.70 % (29511)Termination reason: Unknown
% 2.53/1.70 % (29511)Termination phase: Property scanning
% 2.53/1.70
% 2.53/1.70 % (29511)Memory used [KB]: 1535
% 2.53/1.70 % (29511)Time elapsed: 0.010 s
% 2.53/1.70 % (29511)Instructions burned: 19 (million)
% 2.53/1.70 % (29511)------------------------------
% 2.53/1.70 % (29511)------------------------------
% 2.53/1.71 % (29488)Instruction limit reached!
% 2.53/1.71 % (29488)------------------------------
% 2.53/1.71 % (29488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.71 % (29488)Termination reason: Unknown
% 2.53/1.71 % (29488)Termination phase: Saturation
% 2.53/1.71
% 2.53/1.71 % (29488)Memory used [KB]: 7675
% 2.53/1.71 % (29488)Time elapsed: 0.139 s
% 2.53/1.71 % (29488)Instructions burned: 275 (million)
% 2.53/1.71 % (29488)------------------------------
% 2.53/1.71 % (29488)------------------------------
% 2.53/1.72 % (29512)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_29384 for (2998ds/879Mi)
% 2.53/1.72 % (29513)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_29384 for (2998ds/17Mi)
% 2.53/1.73 % (29513)Instruction limit reached!
% 2.53/1.73 % (29513)------------------------------
% 2.53/1.73 % (29513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.73 % (29513)Termination reason: Unknown
% 2.53/1.73 % (29513)Termination phase: Property scanning
% 2.53/1.73
% 2.53/1.73 % (29513)Memory used [KB]: 1535
% 2.53/1.73 % (29513)Time elapsed: 0.010 s
% 2.53/1.73 % (29513)Instructions burned: 19 (million)
% 2.53/1.73 % (29513)------------------------------
% 2.53/1.73 % (29513)------------------------------
% 2.53/1.75 % (29514)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_29384 for (2998ds/3Mi)
% 2.53/1.75 % (29514)Instruction limit reached!
% 2.53/1.75 % (29514)------------------------------
% 2.53/1.75 % (29514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.75 % (29514)Termination reason: Unknown
% 2.53/1.75 % (29514)Termination phase: shuffling
% 2.53/1.75
% 2.53/1.75 % (29514)Memory used [KB]: 1151
% 2.53/1.75 % (29514)Time elapsed: 0.003 s
% 2.53/1.75 % (29514)Instructions burned: 3 (million)
% 2.53/1.75 % (29514)------------------------------
% 2.53/1.75 % (29514)------------------------------
% 2.53/1.77 % (29515)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_29384 for (2997ds/30Mi)
% 2.53/1.78 % (29515)Instruction limit reached!
% 2.53/1.78 % (29515)------------------------------
% 2.53/1.78 % (29515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.78 % (29515)Termination reason: Unknown
% 2.53/1.78 % (29515)Termination phase: Property scanning
% 2.53/1.78
% 2.53/1.78 % (29515)Memory used [KB]: 1535
% 2.53/1.78 % (29515)Time elapsed: 0.015 s
% 2.53/1.78 % (29515)Instructions burned: 30 (million)
% 2.53/1.78 % (29515)------------------------------
% 2.53/1.78 % (29515)------------------------------
% 2.53/1.80 % (29516)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_29384 for (2997ds/127Mi)
% 2.53/1.85 % (29516)Instruction limit reached!
% 2.53/1.85 % (29516)------------------------------
% 2.53/1.85 % (29516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.85 % (29516)Termination reason: Unknown
% 2.53/1.85 % (29516)Termination phase: Saturation
% 2.53/1.85
% 2.53/1.85 % (29516)Memory used [KB]: 6780
% 2.53/1.85 % (29516)Time elapsed: 0.060 s
% 2.53/1.85 % (29516)Instructions burned: 127 (million)
% 2.53/1.85 % (29516)------------------------------
% 2.53/1.85 % (29516)------------------------------
% 2.53/1.87 % (29509)Instruction limit reached!
% 2.53/1.87 % (29509)------------------------------
% 2.53/1.87 % (29509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.87 % (29509)Termination reason: Unknown
% 2.53/1.87 % (29509)Termination phase: Saturation
% 2.53/1.87
% 2.53/1.87 % (29509)Memory used [KB]: 7291
% 2.53/1.87 % (29509)Time elapsed: 0.186 s
% 2.53/1.87 % (29509)Instructions burned: 379 (million)
% 2.53/1.87 % (29509)------------------------------
% 2.53/1.87 % (29509)------------------------------
% 2.53/1.87 % (29517)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_29384 for (2996ds/100Mi)
% 2.53/1.89 % (29518)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_29384 for (2996ds/3Mi)
% 2.53/1.89 % (29518)Instruction limit reached!
% 2.53/1.89 % (29518)------------------------------
% 2.53/1.89 % (29518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.89 % (29518)Termination reason: Unknown
% 2.53/1.89 % (29518)Termination phase: shuffling
% 2.53/1.89
% 2.53/1.89 % (29518)Memory used [KB]: 1151
% 2.53/1.89 % (29518)Time elapsed: 0.003 s
% 2.53/1.89 % (29518)Instructions burned: 3 (million)
% 2.53/1.89 % (29518)------------------------------
% 2.53/1.89 % (29518)------------------------------
% 2.53/1.90 % (29519)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_29384 for (2996ds/20Mi)
% 2.53/1.91 % (29519)Instruction limit reached!
% 2.53/1.91 % (29519)------------------------------
% 2.53/1.91 % (29519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.91 % (29519)Termination reason: Unknown
% 2.53/1.91 % (29519)Termination phase: Preprocessing 1
% 2.53/1.91
% 2.53/1.91 % (29519)Memory used [KB]: 1407
% 2.53/1.91 % (29519)Time elapsed: 0.011 s
% 2.53/1.91 % (29519)Instructions burned: 20 (million)
% 2.53/1.91 % (29519)------------------------------
% 2.53/1.91 % (29519)------------------------------
% 2.53/1.92 % (29517)Instruction limit reached!
% 2.53/1.92 % (29517)------------------------------
% 2.53/1.92 % (29517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.92 % (29517)Termination reason: Unknown
% 2.53/1.92 % (29517)Termination phase: Saturation
% 2.53/1.92
% 2.53/1.92 % (29517)Memory used [KB]: 6396
% 2.53/1.92 % (29517)Time elapsed: 0.049 s
% 2.53/1.92 % (29517)Instructions burned: 102 (million)
% 2.53/1.92 % (29517)------------------------------
% 2.53/1.92 % (29517)------------------------------
% 2.53/1.93 % (29520)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_29384 for (2996ds/86Mi)
% 2.53/1.93 % (29521)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_29384 for (2996ds/107Mi)
% 2.53/1.97 % (29520)Instruction limit reached!
% 2.53/1.97 % (29520)------------------------------
% 2.53/1.97 % (29520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.97 % (29520)Termination reason: Unknown
% 2.53/1.97 % (29520)Termination phase: Saturation
% 2.53/1.97
% 2.53/1.97 % (29520)Memory used [KB]: 6396
% 2.53/1.97 % (29520)Time elapsed: 0.040 s
% 2.53/1.97 % (29520)Instructions burned: 86 (million)
% 2.53/1.97 % (29520)------------------------------
% 2.53/1.97 % (29520)------------------------------
% 2.53/1.98 % (29510)Instruction limit reached!
% 2.53/1.98 % (29510)------------------------------
% 2.53/1.98 % (29510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.98 % (29510)Termination reason: Unknown
% 2.53/1.98 % (29510)Termination phase: Saturation
% 2.53/1.98
% 2.53/1.98 % (29510)Memory used [KB]: 6524
% 2.53/1.98 % (29510)Time elapsed: 0.288 s
% 2.53/1.98 % (29510)Instructions burned: 780 (million)
% 2.53/1.98 % (29510)------------------------------
% 2.53/1.98 % (29510)------------------------------
% 2.53/1.98 % (29521)Instruction limit reached!
% 2.53/1.98 % (29521)------------------------------
% 2.53/1.98 % (29521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.98 % (29521)Termination reason: Unknown
% 2.53/1.98 % (29521)Termination phase: Saturation
% 2.53/1.98
% 2.53/1.98 % (29521)Memory used [KB]: 6652
% 2.53/1.98 % (29521)Time elapsed: 0.050 s
% 2.53/1.98 % (29521)Instructions burned: 109 (million)
% 2.53/1.98 % (29521)------------------------------
% 2.53/1.98 % (29521)------------------------------
% 2.53/1.98 % (29522)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_29384 for (2995ds/39Mi)
% 2.53/1.99 % (29494)Instruction limit reached!
% 2.53/1.99 % (29494)------------------------------
% 2.53/1.99 % (29494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/1.99 % (29494)Termination reason: Unknown
% 2.53/1.99 % (29494)Termination phase: Saturation
% 2.53/1.99
% 2.53/1.99 % (29494)Memory used [KB]: 8187
% 2.53/1.99 % (29494)Time elapsed: 0.387 s
% 2.53/1.99 % (29494)Instructions burned: 1042 (million)
% 2.53/1.99 % (29494)------------------------------
% 2.53/1.99 % (29494)------------------------------
% 2.53/1.99 % (29523)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_29384 for (2995ds/448Mi)
% 2.53/2.00 % (29524)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_29384 for (2995ds/46Mi)
% 2.53/2.00 % (29525)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_29384 for (2995ds/98Mi)
% 2.53/2.00 % (29522)Instruction limit reached!
% 2.53/2.00 % (29522)------------------------------
% 2.53/2.00 % (29522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/2.00 % (29522)Termination reason: Unknown
% 2.53/2.00 % (29522)Termination phase: Function definition elimination
% 2.53/2.00
% 2.53/2.00 % (29522)Memory used [KB]: 1663
% 2.53/2.00 % (29522)Time elapsed: 0.020 s
% 2.53/2.00 % (29522)Instructions burned: 40 (million)
% 2.53/2.00 % (29522)------------------------------
% 2.53/2.00 % (29522)------------------------------
% 2.53/2.00 % (29503)Instruction limit reached!
% 2.53/2.00 % (29503)------------------------------
% 2.53/2.00 % (29503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/2.00 % (29503)Termination reason: Unknown
% 2.53/2.00 % (29503)Termination phase: Saturation
% 2.53/2.00
% 2.53/2.00 % (29503)Memory used [KB]: 8699
% 2.53/2.00 % (29503)Time elapsed: 0.360 s
% 2.53/2.00 % (29503)Instructions burned: 711 (million)
% 2.53/2.00 % (29503)------------------------------
% 2.53/2.00 % (29503)------------------------------
% 2.53/2.02 % (29526)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_29384 for (2995ds/507Mi)
% 2.53/2.02 % (29524)Instruction limit reached!
% 2.53/2.02 % (29524)------------------------------
% 2.53/2.02 % (29524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.53/2.02 % (29524)Termination reason: Unknown
% 2.53/2.02 % (29524)Termination phase: Twee Goal Transformation
% 2.53/2.02
% 2.53/2.02 % (29524)Memory used [KB]: 1535
% 2.53/2.02 % (29524)Time elapsed: 0.022 s
% 2.53/2.02 % (29524)Instructions burned: 47 (million)
% 2.53/2.02 % (29524)------------------------------
% 2.53/2.02 % (29524)------------------------------
% 2.53/2.02 % (29527)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_29384 for (2995ds/149Mi)
% 5.73/2.04 % (29528)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_29384 for (2995ds/39Mi)
% 5.73/2.04 % (29525)Instruction limit reached!
% 5.73/2.04 % (29525)------------------------------
% 5.73/2.04 % (29525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.73/2.04 % (29525)Termination reason: Unknown
% 5.73/2.04 % (29525)Termination phase: Saturation
% 5.73/2.04
% 5.73/2.04 % (29525)Memory used [KB]: 1663
% 5.73/2.04 % (29525)Time elapsed: 0.043 s
% 5.73/2.04 % (29525)Instructions burned: 99 (million)
% 5.73/2.04 % (29525)------------------------------
% 5.73/2.04 % (29525)------------------------------
% 5.73/2.05 % (29528)Instruction limit reached!
% 5.73/2.05 % (29528)------------------------------
% 5.73/2.05 % (29528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.73/2.05 % (29528)Termination reason: Unknown
% 5.73/2.05 % (29528)Termination phase: Property scanning
% 5.73/2.05
% 5.73/2.05 % (29528)Memory used [KB]: 1535
% 5.73/2.05 % (29528)Time elapsed: 0.020 s
% 5.73/2.05 % (29528)Instructions burned: 41 (million)
% 5.73/2.05 % (29528)------------------------------
% 5.73/2.05 % (29528)------------------------------
% 5.73/2.06 % (29529)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_29384 for (2995ds/6Mi)
% 5.73/2.06 % (29529)Instruction limit reached!
% 5.73/2.06 % (29529)------------------------------
% 5.73/2.06 % (29529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.73/2.06 % (29529)Termination reason: Unknown
% 5.73/2.06 % (29529)Termination phase: shuffling
% 5.73/2.06
% 5.73/2.06 % (29529)Memory used [KB]: 1279
% 5.73/2.06 % (29529)Time elapsed: 0.004 s
% 5.73/2.06 % (29529)Instructions burned: 6 (million)
% 5.73/2.06 % (29529)------------------------------
% 5.73/2.06 % (29529)------------------------------
% 5.73/2.07 % (29530)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_29384 for (2995ds/1087Mi)
% 5.73/2.08 % (29531)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_29384 for (2994ds/47Mi)
% 5.73/2.09 % (29527)Instruction limit reached!
% 5.73/2.09 % (29527)------------------------------
% 5.73/2.09 % (29527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.73/2.09 % (29527)Termination reason: Unknown
% 5.73/2.09 % (29527)Termination phase: Saturation
% 5.73/2.09
% 5.73/2.09 % (29527)Memory used [KB]: 6652
% 5.73/2.09 % (29527)Time elapsed: 0.074 s
% 5.73/2.09 % (29527)Instructions burned: 149 (million)
% 5.73/2.09 % (29527)------------------------------
% 5.73/2.09 % (29527)------------------------------
% 5.73/2.10 % (29505)Instruction limit reached!
% 5.73/2.10 % (29505)------------------------------
% 5.73/2.10 % (29505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.73/2.10 % (29505)Termination reason: Unknown
% 5.73/2.10 % (29505)Termination phase: Saturation
% 5.73/2.10
% 5.73/2.10 % (29505)Memory used [KB]: 10618
% 5.73/2.10 % (29505)Time elapsed: 0.465 s
% 5.73/2.10 % (29505)Instructions burned: 902 (million)
% 5.73/2.10 % (29505)------------------------------
% 5.73/2.10 % (29505)------------------------------
% 5.73/2.10 % (29531)Instruction limit reached!
% 5.73/2.10 % (29531)------------------------------
% 5.73/2.10 % (29531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.73/2.10 % (29531)Termination reason: Unknown
% 5.73/2.10 % (29531)Termination phase: Property scanning
% 5.73/2.10
% 5.73/2.10 % (29531)Memory used [KB]: 1535
% 5.73/2.10 % (29531)Time elapsed: 0.022 s
% 5.73/2.10 % (29531)Instructions burned: 47 (million)
% 5.73/2.10 % (29531)------------------------------
% 5.73/2.10 % (29531)------------------------------
% 5.73/2.11 % (29532)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_29384 for (2994ds/44Mi)
% 5.73/2.11 % (29533)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_29384 for (2994ds/432Mi)
% 5.73/2.11 % (29534)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_29384 for (2994ds/62Mi)
% 6.21/2.13 % (29532)Instruction limit reached!
% 6.21/2.13 % (29532)------------------------------
% 6.21/2.13 % (29532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.13 % (29532)Termination reason: Unknown
% 6.21/2.13 % (29532)Termination phase: Function definition elimination
% 6.21/2.13
% 6.21/2.13 % (29532)Memory used [KB]: 1663
% 6.21/2.13 % (29532)Time elapsed: 0.021 s
% 6.21/2.13 % (29532)Instructions burned: 45 (million)
% 6.21/2.13 % (29532)------------------------------
% 6.21/2.13 % (29532)------------------------------
% 6.21/2.14 % (29534)Instruction limit reached!
% 6.21/2.14 % (29534)------------------------------
% 6.21/2.14 % (29534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.14 % (29534)Termination reason: Unknown
% 6.21/2.14 % (29534)Termination phase: Saturation
% 6.21/2.14
% 6.21/2.14 % (29534)Memory used [KB]: 6140
% 6.21/2.14 % (29534)Time elapsed: 0.029 s
% 6.21/2.14 % (29534)Instructions burned: 64 (million)
% 6.21/2.14 % (29534)------------------------------
% 6.21/2.14 % (29534)------------------------------
% 6.21/2.14 % (29535)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_29384 for (2994ds/31Mi)
% 6.21/2.15 % (29512)Instruction limit reached!
% 6.21/2.15 % (29512)------------------------------
% 6.21/2.15 % (29512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.15 % (29512)Termination reason: Unknown
% 6.21/2.15 % (29512)Termination phase: Saturation
% 6.21/2.15
% 6.21/2.15 % (29512)Memory used [KB]: 7675
% 6.21/2.15 % (29512)Time elapsed: 0.432 s
% 6.21/2.15 % (29512)Instructions burned: 879 (million)
% 6.21/2.15 % (29512)------------------------------
% 6.21/2.15 % (29512)------------------------------
% 6.21/2.16 % (29523)Instruction limit reached!
% 6.21/2.16 % (29523)------------------------------
% 6.21/2.16 % (29523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.16 % (29523)Termination reason: Unknown
% 6.21/2.16 % (29523)Termination phase: Saturation
% 6.21/2.16
% 6.21/2.16 % (29523)Memory used [KB]: 6268
% 6.21/2.16 % (29523)Time elapsed: 0.166 s
% 6.21/2.16 % (29523)Instructions burned: 448 (million)
% 6.21/2.16 % (29523)------------------------------
% 6.21/2.16 % (29523)------------------------------
% 6.21/2.16 % (29536)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_29384 for (2993ds/96Mi)
% 6.21/2.16 % (29535)Instruction limit reached!
% 6.21/2.16 % (29535)------------------------------
% 6.21/2.16 % (29535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.21/2.16 % (29535)Termination reason: Unknown
% 6.21/2.16 % (29535)Termination phase: Property scanning
% 6.21/2.16
% 6.21/2.16 % (29535)Memory used [KB]: 1535
% 6.21/2.16 % (29535)Time elapsed: 0.016 s
% 6.21/2.16 % (29535)Instructions burned: 33 (million)
% 6.21/2.16 % (29535)------------------------------
% 6.21/2.16 % (29535)------------------------------
% 6.21/2.16 % (29537)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_29384 for (2993ds/453Mi)
% 6.21/2.17 % (29538)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_29384 for (2993ds/71Mi)
% 6.21/2.18 % (29539)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_29384 for (2993ds/83Mi)
% 6.39/2.20 % (29536)Instruction limit reached!
% 6.39/2.20 % (29536)------------------------------
% 6.39/2.20 % (29536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.20 % (29536)Termination reason: Unknown
% 6.39/2.20 % (29536)Termination phase: Saturation
% 6.39/2.20
% 6.39/2.20 % (29536)Memory used [KB]: 6524
% 6.39/2.20 % (29536)Time elapsed: 0.045 s
% 6.39/2.20 % (29536)Instructions burned: 97 (million)
% 6.39/2.20 % (29536)------------------------------
% 6.39/2.20 % (29536)------------------------------
% 6.39/2.20 % (29538)Instruction limit reached!
% 6.39/2.20 % (29538)------------------------------
% 6.39/2.20 % (29538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.20 % (29538)Termination reason: Unknown
% 6.39/2.20 % (29538)Termination phase: Saturation
% 6.39/2.20
% 6.39/2.20 % (29538)Memory used [KB]: 6268
% 6.39/2.20 % (29538)Time elapsed: 0.034 s
% 6.39/2.20 % (29538)Instructions burned: 72 (million)
% 6.39/2.20 % (29538)------------------------------
% 6.39/2.20 % (29538)------------------------------
% 6.39/2.21 % (29539)Instruction limit reached!
% 6.39/2.21 % (29539)------------------------------
% 6.39/2.21 % (29539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.21 % (29539)Termination reason: Unknown
% 6.39/2.21 % (29539)Termination phase: Saturation
% 6.39/2.21
% 6.39/2.21 % (29539)Memory used [KB]: 6268
% 6.39/2.21 % (29539)Time elapsed: 0.039 s
% 6.39/2.21 % (29539)Instructions burned: 83 (million)
% 6.39/2.21 % (29539)------------------------------
% 6.39/2.21 % (29539)------------------------------
% 6.39/2.22 % (29540)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_29384 for (2993ds/11Mi)
% 6.39/2.22 % (29541)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_29384 for (2993ds/41Mi)
% 6.39/2.22 % (29540)Instruction limit reached!
% 6.39/2.22 % (29540)------------------------------
% 6.39/2.22 % (29540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.22 % (29540)Termination reason: Unknown
% 6.39/2.22 % (29540)Termination phase: shuffling
% 6.39/2.22
% 6.39/2.22 % (29540)Memory used [KB]: 1407
% 6.39/2.22 % (29540)Time elapsed: 0.007 s
% 6.39/2.22 % (29540)Instructions burned: 12 (million)
% 6.39/2.22 % (29540)------------------------------
% 6.39/2.22 % (29540)------------------------------
% 6.39/2.23 % (29542)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29384 for (2993ds/6Mi)
% 6.39/2.23 % (29542)Instruction limit reached!
% 6.39/2.23 % (29542)------------------------------
% 6.39/2.23 % (29542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.23 % (29542)Termination reason: Unknown
% 6.39/2.23 % (29542)Termination phase: shuffling
% 6.39/2.23
% 6.39/2.23 % (29542)Memory used [KB]: 1279
% 6.39/2.23 % (29542)Time elapsed: 0.004 s
% 6.39/2.23 % (29542)Instructions burned: 6 (million)
% 6.39/2.23 % (29542)------------------------------
% 6.39/2.23 % (29542)------------------------------
% 6.39/2.24 % (29541)Instruction limit reached!
% 6.39/2.24 % (29541)------------------------------
% 6.39/2.24 % (29541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.24 % (29541)Termination reason: Unknown
% 6.39/2.24 % (29541)Termination phase: Property scanning
% 6.39/2.24
% 6.39/2.24 % (29541)Memory used [KB]: 1663
% 6.39/2.24 % (29541)Time elapsed: 0.020 s
% 6.39/2.24 % (29541)Instructions burned: 43 (million)
% 6.39/2.24 % (29541)------------------------------
% 6.39/2.24 % (29541)------------------------------
% 6.39/2.24 % (29543)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_29384 for (2993ds/150Mi)
% 6.39/2.25 % (29544)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_29384 for (2993ds/343Mi)
% 6.39/2.25 % (29545)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_29384 for (2993ds/109Mi)
% 6.39/2.26 % (29526)Instruction limit reached!
% 6.39/2.26 % (29526)------------------------------
% 6.39/2.26 % (29526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.26 % (29526)Termination reason: Unknown
% 6.39/2.26 % (29526)Termination phase: Saturation
% 6.39/2.26
% 6.39/2.26 % (29526)Memory used [KB]: 7164
% 6.39/2.26 % (29526)Time elapsed: 0.244 s
% 6.39/2.26 % (29526)Instructions burned: 507 (million)
% 6.39/2.26 % (29526)------------------------------
% 6.39/2.26 % (29526)------------------------------
% 6.39/2.28 % (29546)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_29384 for (2992ds/253Mi)
% 6.39/2.28 % (29533)Instruction limit reached!
% 6.39/2.28 % (29533)------------------------------
% 6.39/2.28 % (29533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.39/2.28 % (29533)Termination reason: Unknown
% 6.39/2.28 % (29533)Termination phase: Saturation
% 6.39/2.28
% 6.39/2.28 % (29533)Memory used [KB]: 2558
% 6.39/2.28 % (29533)Time elapsed: 0.174 s
% 6.39/2.28 % (29533)Instructions burned: 434 (million)
% 6.39/2.28 % (29533)------------------------------
% 6.39/2.28 % (29533)------------------------------
% 7.08/2.30 % (29547)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_29384 for (2992ds/140Mi)
% 7.08/2.30 % (29545)Instruction limit reached!
% 7.08/2.30 % (29545)------------------------------
% 7.08/2.30 % (29545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.30 % (29545)Termination reason: Unknown
% 7.08/2.30 % (29545)Termination phase: Saturation
% 7.08/2.30
% 7.08/2.30 % (29545)Memory used [KB]: 6652
% 7.08/2.30 % (29545)Time elapsed: 0.050 s
% 7.08/2.30 % (29545)Instructions burned: 109 (million)
% 7.08/2.30 % (29545)------------------------------
% 7.08/2.30 % (29545)------------------------------
% 7.08/2.31 % (29543)Instruction limit reached!
% 7.08/2.31 % (29543)------------------------------
% 7.08/2.31 % (29543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.31 % (29543)Termination reason: Unknown
% 7.08/2.31 % (29543)Termination phase: Saturation
% 7.08/2.31
% 7.08/2.31 % (29543)Memory used [KB]: 7419
% 7.08/2.31 % (29543)Time elapsed: 0.076 s
% 7.08/2.31 % (29543)Instructions burned: 151 (million)
% 7.08/2.31 % (29543)------------------------------
% 7.08/2.31 % (29543)------------------------------
% 7.08/2.32 % (29548)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_29384 for (2992ds/614Mi)
% 7.08/2.33 % (29549)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_29384 for (2992ds/202Mi)
% 7.08/2.34 % (29537)Instruction limit reached!
% 7.08/2.34 % (29537)------------------------------
% 7.08/2.34 % (29537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.34 % (29537)Termination reason: Unknown
% 7.08/2.34 % (29537)Termination phase: Saturation
% 7.08/2.34
% 7.08/2.34 % (29537)Memory used [KB]: 6268
% 7.08/2.34 % (29537)Time elapsed: 0.173 s
% 7.08/2.34 % (29537)Instructions burned: 453 (million)
% 7.08/2.34 % (29537)------------------------------
% 7.08/2.34 % (29537)------------------------------
% 7.08/2.35 % (29550)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_29384 for (2992ds/339Mi)
% 7.08/2.36 % (29547)Instruction limit reached!
% 7.08/2.36 % (29547)------------------------------
% 7.08/2.36 % (29547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.36 % (29547)Termination reason: Unknown
% 7.08/2.36 % (29547)Termination phase: Saturation
% 7.08/2.36
% 7.08/2.36 % (29547)Memory used [KB]: 6396
% 7.08/2.36 % (29547)Time elapsed: 0.064 s
% 7.08/2.36 % (29547)Instructions burned: 141 (million)
% 7.08/2.36 % (29547)------------------------------
% 7.08/2.36 % (29547)------------------------------
% 7.08/2.38 % (29551)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_29384 for (2991ds/283Mi)
% 7.08/2.39 % (29546)Instruction limit reached!
% 7.08/2.39 % (29546)------------------------------
% 7.08/2.39 % (29546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.08/2.39 % (29546)Termination reason: Unknown
% 7.08/2.39 % (29546)Termination phase: Saturation
% 7.08/2.39
% 7.08/2.39 % (29546)Memory used [KB]: 7675
% 7.08/2.39 % (29546)Time elapsed: 0.114 s
% 7.08/2.39 % (29546)Instructions burned: 254 (million)
% 7.08/2.39 % (29546)------------------------------
% 7.08/2.39 % (29546)------------------------------
% 7.63/2.41 % (29552)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_29384 for (2991ds/134Mi)
% 7.63/2.41 % (29544)Instruction limit reached!
% 7.63/2.41 % (29544)------------------------------
% 7.63/2.41 % (29544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.41 % (29544)Termination reason: Unknown
% 7.63/2.41 % (29544)Termination phase: Saturation
% 7.63/2.41
% 7.63/2.41 % (29544)Memory used [KB]: 7291
% 7.63/2.41 % (29544)Time elapsed: 0.169 s
% 7.63/2.41 % (29544)Instructions burned: 344 (million)
% 7.63/2.41 % (29544)------------------------------
% 7.63/2.41 % (29544)------------------------------
% 7.63/2.43 % (29553)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_29384 for (2991ds/298Mi)
% 7.63/2.43 % (29549)Instruction limit reached!
% 7.63/2.43 % (29549)------------------------------
% 7.63/2.43 % (29549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.43 % (29549)Termination reason: Unknown
% 7.63/2.43 % (29549)Termination phase: Saturation
% 7.63/2.43
% 7.63/2.43 % (29549)Memory used [KB]: 7675
% 7.63/2.43 % (29549)Time elapsed: 0.104 s
% 7.63/2.43 % (29549)Instructions burned: 202 (million)
% 7.63/2.43 % (29549)------------------------------
% 7.63/2.43 % (29549)------------------------------
% 7.63/2.45 % (29554)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_29384 for (2991ds/192Mi)
% 7.63/2.47 % (29552)Instruction limit reached!
% 7.63/2.47 % (29552)------------------------------
% 7.63/2.47 % (29552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.47 % (29552)Termination reason: Unknown
% 7.63/2.47 % (29552)Termination phase: Saturation
% 7.63/2.47
% 7.63/2.47 % (29552)Memory used [KB]: 6908
% 7.63/2.47 % (29552)Time elapsed: 0.064 s
% 7.63/2.47 % (29552)Instructions burned: 134 (million)
% 7.63/2.47 % (29552)------------------------------
% 7.63/2.47 % (29552)------------------------------
% 7.63/2.49 % (29555)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_29384 for (2990ds/258Mi)
% 7.63/2.49 % (29551)Instruction limit reached!
% 7.63/2.49 % (29551)------------------------------
% 7.63/2.49 % (29551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.49 % (29551)Termination reason: Unknown
% 7.63/2.49 % (29551)Termination phase: Saturation
% 7.63/2.49
% 7.63/2.49 % (29551)Memory used [KB]: 8187
% 7.63/2.49 % (29551)Time elapsed: 0.115 s
% 7.63/2.49 % (29551)Instructions burned: 284 (million)
% 7.63/2.49 % (29551)------------------------------
% 7.63/2.49 % (29551)------------------------------
% 8.15/2.51 % (29556)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_29384 for (2990ds/90Mi)
% 8.15/2.51 % (29550)Instruction limit reached!
% 8.15/2.51 % (29550)------------------------------
% 8.15/2.51 % (29550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.15/2.51 % (29550)Termination reason: Unknown
% 8.15/2.51 % (29550)Termination phase: Saturation
% 8.15/2.51
% 8.15/2.51 % (29550)Memory used [KB]: 7547
% 8.15/2.51 % (29550)Time elapsed: 0.162 s
% 8.15/2.51 % (29550)Instructions burned: 339 (million)
% 8.15/2.51 % (29550)------------------------------
% 8.15/2.51 % (29550)------------------------------
% 8.15/2.53 % (29557)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_29384 for (2990ds/231Mi)
% 8.15/2.54 % (29554)Instruction limit reached!
% 8.15/2.54 % (29554)------------------------------
% 8.15/2.54 % (29554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.15/2.54 % (29554)Termination reason: Unknown
% 8.15/2.54 % (29554)Termination phase: Saturation
% 8.15/2.54
% 8.15/2.54 % (29554)Memory used [KB]: 7036
% 8.15/2.54 % (29554)Time elapsed: 0.093 s
% 8.15/2.54 % (29554)Instructions burned: 193 (million)
% 8.15/2.54 % (29554)------------------------------
% 8.15/2.54 % (29554)------------------------------
% 8.15/2.55 % (29556)Instruction limit reached!
% 8.15/2.55 % (29556)------------------------------
% 8.15/2.55 % (29556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.15/2.55 % (29556)Termination reason: Unknown
% 8.15/2.55 % (29556)Termination phase: Saturation
% 8.15/2.55
% 8.15/2.55 % (29556)Memory used [KB]: 6524
% 8.15/2.55 % (29556)Time elapsed: 0.043 s
% 8.15/2.55 % (29556)Instructions burned: 90 (million)
% 8.15/2.55 % (29556)------------------------------
% 8.15/2.55 % (29556)------------------------------
% 8.15/2.56 % (29553)Instruction limit reached!
% 8.15/2.56 % (29553)------------------------------
% 8.15/2.56 % (29553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.15/2.56 % (29553)Termination reason: Unknown
% 8.15/2.56 % (29553)Termination phase: Saturation
% 8.15/2.56
% 8.15/2.56 % (29553)Memory used [KB]: 6396
% 8.15/2.56 % (29553)Time elapsed: 0.127 s
% 8.15/2.56 % (29553)Instructions burned: 298 (million)
% 8.15/2.56 % (29553)------------------------------
% 8.15/2.56 % (29553)------------------------------
% 8.15/2.56 % (29558)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_29384 for (2990ds/458Mi)
% 8.15/2.57 % (29559)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_29384 for (2990ds/31Mi)
% 8.15/2.57 % (29560)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_29384 for (2989ds/297Mi)
% 8.15/2.58 % (29559)Instruction limit reached!
% 8.15/2.58 % (29559)------------------------------
% 8.15/2.58 % (29559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.15/2.58 % (29559)Termination reason: Unknown
% 8.15/2.58 % (29559)Termination phase: Property scanning
% 8.15/2.58
% 8.15/2.58 % (29559)Memory used [KB]: 1535
% 8.15/2.58 % (29559)Time elapsed: 0.015 s
% 8.15/2.58 % (29559)Instructions burned: 31 (million)
% 8.15/2.58 % (29559)------------------------------
% 8.15/2.58 % (29559)------------------------------
% 8.15/2.60 % (29561)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_29384 for (2989ds/987Mi)
% 8.66/2.61 % (29555)Instruction limit reached!
% 8.66/2.61 % (29555)------------------------------
% 8.66/2.61 % (29555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.61 % (29555)Termination reason: Unknown
% 8.66/2.61 % (29555)Termination phase: Saturation
% 8.66/2.61
% 8.66/2.61 % (29555)Memory used [KB]: 7036
% 8.66/2.61 % (29555)Time elapsed: 0.126 s
% 8.66/2.61 % (29555)Instructions burned: 259 (million)
% 8.66/2.61 % (29555)------------------------------
% 8.66/2.61 % (29555)------------------------------
% 8.66/2.61 % (29548)Instruction limit reached!
% 8.66/2.61 % (29548)------------------------------
% 8.66/2.61 % (29548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.61 % (29548)Termination reason: Unknown
% 8.66/2.61 % (29548)Termination phase: Saturation
% 8.66/2.61
% 8.66/2.61 % (29548)Memory used [KB]: 7803
% 8.66/2.61 % (29548)Time elapsed: 0.295 s
% 8.66/2.61 % (29548)Instructions burned: 616 (million)
% 8.66/2.61 % (29548)------------------------------
% 8.66/2.61 % (29548)------------------------------
% 8.66/2.61 % (29530)Instruction limit reached!
% 8.66/2.61 % (29530)------------------------------
% 8.66/2.61 % (29530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.61 % (29530)Termination reason: Unknown
% 8.66/2.61 % (29530)Termination phase: Saturation
% 8.66/2.61
% 8.66/2.61 % (29530)Memory used [KB]: 10106
% 8.66/2.61 % (29530)Time elapsed: 0.567 s
% 8.66/2.61 % (29530)Instructions burned: 1088 (million)
% 8.66/2.61 % (29530)------------------------------
% 8.66/2.61 % (29530)------------------------------
% 8.66/2.63 % (29562)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_29384 for (2989ds/182Mi)
% 8.66/2.63 % (29563)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_29384 for (2989ds/182Mi)
% 8.66/2.63 % (29564)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_29384 for (2989ds/154Mi)
% 8.66/2.64 % (29557)Instruction limit reached!
% 8.66/2.64 % (29557)------------------------------
% 8.66/2.64 % (29557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.64 % (29557)Termination reason: Unknown
% 8.66/2.64 % (29557)Termination phase: Saturation
% 8.66/2.64
% 8.66/2.64 % (29557)Memory used [KB]: 9594
% 8.66/2.64 % (29557)Time elapsed: 0.112 s
% 8.66/2.64 % (29557)Instructions burned: 232 (million)
% 8.66/2.64 % (29557)------------------------------
% 8.66/2.64 % (29557)------------------------------
% 8.66/2.66 % (29565)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_29384 for (2989ds/79Mi)
% 8.66/2.69 % (29560)Instruction limit reached!
% 8.66/2.69 % (29560)------------------------------
% 8.66/2.69 % (29560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.69 % (29560)Termination reason: Unknown
% 8.66/2.69 % (29560)Termination phase: Saturation
% 8.66/2.69
% 8.66/2.69 % (29560)Memory used [KB]: 7547
% 8.66/2.69 % (29560)Time elapsed: 0.115 s
% 8.66/2.69 % (29560)Instructions burned: 297 (million)
% 8.66/2.69 % (29560)------------------------------
% 8.66/2.69 % (29560)------------------------------
% 8.66/2.69 % (29565)Instruction limit reached!
% 8.66/2.69 % (29565)------------------------------
% 8.66/2.69 % (29565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.69 % (29565)Termination reason: Unknown
% 8.66/2.69 % (29565)Termination phase: Saturation
% 8.66/2.69
% 8.66/2.69 % (29565)Memory used [KB]: 6268
% 8.66/2.69 % (29565)Time elapsed: 0.037 s
% 8.66/2.69 % (29565)Instructions burned: 79 (million)
% 8.66/2.69 % (29565)------------------------------
% 8.66/2.69 % (29565)------------------------------
% 8.66/2.69 % (29564)Instruction limit reached!
% 8.66/2.69 % (29564)------------------------------
% 8.66/2.69 % (29564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.69 % (29564)Termination reason: Unknown
% 8.66/2.69 % (29564)Termination phase: Saturation
% 8.66/2.69
% 8.66/2.69 % (29564)Memory used [KB]: 6268
% 8.66/2.69 % (29564)Time elapsed: 0.063 s
% 8.66/2.69 % (29564)Instructions burned: 155 (million)
% 8.66/2.69 % (29564)------------------------------
% 8.66/2.69 % (29564)------------------------------
% 10.05/2.70 % (29566)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_29384 for (2988ds/216Mi)
% 10.05/2.71 % (29567)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_29384 for (2988ds/114Mi)
% 10.05/2.71 % (29568)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_29384 for (2988ds/922Mi)
% 10.05/2.71 % (29562)Instruction limit reached!
% 10.05/2.71 % (29562)------------------------------
% 10.05/2.71 % (29562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.05/2.71 % (29562)Termination reason: Unknown
% 10.05/2.71 % (29562)Termination phase: Saturation
% 10.05/2.71
% 10.05/2.71 % (29562)Memory used [KB]: 6908
% 10.05/2.71 % (29562)Time elapsed: 0.088 s
% 10.05/2.71 % (29562)Instructions burned: 182 (million)
% 10.05/2.71 % (29562)------------------------------
% 10.05/2.71 % (29562)------------------------------
% 10.05/2.72 % (29563)Instruction limit reached!
% 10.05/2.72 % (29563)------------------------------
% 10.05/2.72 % (29563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.05/2.72 % (29563)Termination reason: Unknown
% 10.05/2.72 % (29563)Termination phase: Saturation
% 10.05/2.72
% 10.05/2.72 % (29563)Memory used [KB]: 8827
% 10.05/2.72 % (29563)Time elapsed: 0.094 s
% 10.05/2.72 % (29563)Instructions burned: 182 (million)
% 10.05/2.72 % (29563)------------------------------
% 10.05/2.72 % (29563)------------------------------
% 10.05/2.73 % (29569)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_29384 for (2988ds/182Mi)
% 10.05/2.74 % (29570)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_29384 for (2988ds/164Mi)
% 10.05/2.76 % (29567)Instruction limit reached!
% 10.05/2.76 % (29567)------------------------------
% 10.05/2.76 % (29567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.05/2.76 % (29567)Termination reason: Unknown
% 10.05/2.76 % (29567)Termination phase: Saturation
% 10.05/2.76
% 10.05/2.76 % (29567)Memory used [KB]: 6652
% 10.05/2.76 % (29567)Time elapsed: 0.055 s
% 10.05/2.76 % (29567)Instructions burned: 115 (million)
% 10.05/2.76 % (29567)------------------------------
% 10.05/2.76 % (29567)------------------------------
% 10.05/2.78 % (29571)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_29384 for (2987ds/50Mi)
% 10.05/2.78 % (29558)Instruction limit reached!
% 10.05/2.78 % (29558)------------------------------
% 10.05/2.78 % (29558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.05/2.78 % (29558)Termination reason: Unknown
% 10.05/2.78 % (29558)Termination phase: Saturation
% 10.05/2.78
% 10.05/2.78 % (29558)Memory used [KB]: 7291
% 10.05/2.78 % (29558)Time elapsed: 0.226 s
% 10.05/2.78 % (29558)Instructions burned: 459 (million)
% 10.05/2.78 % (29558)------------------------------
% 10.05/2.78 % (29558)------------------------------
% 10.05/2.79 % (29566)Instruction limit reached!
% 10.05/2.79 % (29566)------------------------------
% 10.05/2.79 % (29566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.05/2.79 % (29566)Termination reason: Unknown
% 10.05/2.79 % (29566)Termination phase: Saturation
% 10.05/2.79
% 10.05/2.79 % (29566)Memory used [KB]: 6908
% 10.05/2.79 % (29566)Time elapsed: 0.087 s
% 10.05/2.79 % (29566)Instructions burned: 217 (million)
% 10.05/2.79 % (29566)------------------------------
% 10.05/2.79 % (29566)------------------------------
% 10.67/2.80 % (29572)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_29384 for (2987ds/368Mi)
% 10.67/2.80 % (29571)Instruction limit reached!
% 10.67/2.80 % (29571)------------------------------
% 10.67/2.80 % (29571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.67/2.80 % (29571)Termination reason: Unknown
% 10.67/2.80 % (29571)Termination phase: Property scanning
% 10.67/2.80
% 10.67/2.80 % (29571)Memory used [KB]: 1663
% 10.67/2.80 % (29571)Time elapsed: 0.024 s
% 10.67/2.80 % (29571)Instructions burned: 50 (million)
% 10.67/2.80 % (29571)------------------------------
% 10.67/2.80 % (29571)------------------------------
% 10.67/2.80 % (29569)Instruction limit reached!
% 10.67/2.80 % (29569)------------------------------
% 10.67/2.80 % (29569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.67/2.80 % (29569)Termination reason: Unknown
% 10.67/2.80 % (29569)Termination phase: Saturation
% 10.67/2.80
% 10.67/2.80 % (29569)Memory used [KB]: 6268
% 10.67/2.80 % (29569)Time elapsed: 0.096 s
% 10.67/2.80 % (29569)Instructions burned: 182 (million)
% 10.67/2.80 % (29569)------------------------------
% 10.67/2.80 % (29569)------------------------------
% 10.67/2.80 % (29573)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_29384 for (2987ds/1021Mi)
% 10.67/2.81 % (29570)Instruction limit reached!
% 10.67/2.81 % (29570)------------------------------
% 10.67/2.81 % (29570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.67/2.81 % (29570)Termination reason: Unknown
% 10.67/2.81 % (29570)Termination phase: Saturation
% 10.67/2.81
% 10.67/2.81 % (29570)Memory used [KB]: 2046
% 10.67/2.81 % (29570)Time elapsed: 0.078 s
% 10.67/2.81 % (29570)Instructions burned: 165 (million)
% 10.67/2.81 % (29570)------------------------------
% 10.67/2.81 % (29570)------------------------------
% 10.67/2.82 % (29574)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_29384 for (2987ds/267Mi)
% 10.67/2.82 % (29575)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_29384 for (2987ds/204Mi)
% 10.67/2.83 % (29576)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_29384 for (2987ds/26Mi)
% 10.67/2.84 % (29576)Instruction limit reached!
% 10.67/2.84 % (29576)------------------------------
% 10.67/2.84 % (29576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.67/2.84 % (29576)Termination reason: Unknown
% 10.67/2.84 % (29576)Termination phase: Property scanning
% 10.67/2.84
% 10.67/2.84 % (29576)Memory used [KB]: 1535
% 10.67/2.84 % (29576)Time elapsed: 0.013 s
% 10.67/2.84 % (29576)Instructions burned: 26 (million)
% 10.67/2.84 % (29576)------------------------------
% 10.67/2.84 % (29576)------------------------------
% 10.67/2.86 % (29577)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_29384 for (2987ds/53Mi)
% 10.67/2.88 % (29577)Instruction limit reached!
% 10.67/2.88 % (29577)------------------------------
% 10.67/2.88 % (29577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.67/2.88 % (29577)Termination reason: Unknown
% 10.67/2.88 % (29577)Termination phase: Saturation
% 10.67/2.88
% 10.67/2.88 % (29577)Memory used [KB]: 6140
% 10.67/2.88 % (29577)Time elapsed: 0.025 s
% 10.67/2.88 % (29577)Instructions burned: 54 (million)
% 10.67/2.88 % (29577)------------------------------
% 10.67/2.88 % (29577)------------------------------
% 10.95/2.90 % (29578)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_29384 for (2986ds/4436Mi)
% 10.95/2.91 % (29575)Instruction limit reached!
% 10.95/2.91 % (29575)------------------------------
% 10.95/2.91 % (29575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.95/2.91 % (29575)Termination reason: Unknown
% 10.95/2.91 % (29575)Termination phase: Saturation
% 10.95/2.91
% 10.95/2.91 % (29575)Memory used [KB]: 6908
% 10.95/2.91 % (29575)Time elapsed: 0.098 s
% 10.95/2.91 % (29575)Instructions burned: 205 (million)
% 10.95/2.91 % (29575)------------------------------
% 10.95/2.91 % (29575)------------------------------
% 10.95/2.92 % (29574)Instruction limit reached!
% 10.95/2.92 % (29574)------------------------------
% 10.95/2.92 % (29574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.95/2.92 % (29574)Termination reason: Unknown
% 10.95/2.92 % (29574)Termination phase: Saturation
% 10.95/2.92
% 10.95/2.92 % (29574)Memory used [KB]: 8059
% 10.95/2.92 % (29574)Time elapsed: 0.109 s
% 10.95/2.92 % (29574)Instructions burned: 267 (million)
% 10.95/2.92 % (29574)------------------------------
% 10.95/2.92 % (29574)------------------------------
% 10.95/2.93 % (29579)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_29384 for (2986ds/1539Mi)
% 10.95/2.94 % (29580)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_29384 for (2986ds/408Mi)
% 10.95/2.96 % (29561)Instruction limit reached!
% 10.95/2.96 % (29561)------------------------------
% 10.95/2.96 % (29561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.95/2.96 % (29561)Termination reason: Unknown
% 10.95/2.96 % (29561)Termination phase: Saturation
% 10.95/2.96
% 10.95/2.96 % (29561)Memory used [KB]: 8059
% 10.95/2.96 % (29561)Time elapsed: 0.367 s
% 10.95/2.96 % (29561)Instructions burned: 987 (million)
% 10.95/2.96 % (29561)------------------------------
% 10.95/2.96 % (29561)------------------------------
% 10.95/2.98 % (29581)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_29384 for (2985ds/5205Mi)
% 10.95/2.98 % (29572)Instruction limit reached!
% 10.95/2.98 % (29572)------------------------------
% 10.95/2.98 % (29572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.95/2.98 % (29572)Termination reason: Unknown
% 10.95/2.98 % (29572)Termination phase: Saturation
% 10.95/2.98
% 10.95/2.98 % (29572)Memory used [KB]: 7291
% 10.95/2.98 % (29572)Time elapsed: 0.184 s
% 10.95/2.98 % (29572)Instructions burned: 368 (million)
% 10.95/2.98 % (29572)------------------------------
% 10.95/2.98 % (29572)------------------------------
% 10.95/3.00 % (29582)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_29384 for (2985ds/1913Mi)
% 13.43/3.16 % (29580)Instruction limit reached!
% 13.43/3.16 % (29580)------------------------------
% 13.43/3.16 % (29580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.43/3.16 % (29580)Termination reason: Unknown
% 13.43/3.16 % (29580)Termination phase: Saturation
% 13.43/3.16
% 13.43/3.16 % (29580)Memory used [KB]: 8827
% 13.43/3.16 % (29580)Time elapsed: 0.223 s
% 13.43/3.16 % (29580)Instructions burned: 409 (million)
% 13.43/3.16 % (29580)------------------------------
% 13.43/3.16 % (29580)------------------------------
% 13.43/3.17 % (29568)Instruction limit reached!
% 13.43/3.17 % (29568)------------------------------
% 13.43/3.17 % (29568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.43/3.17 % (29568)Termination reason: Unknown
% 13.43/3.17 % (29568)Termination phase: Saturation
% 13.43/3.17
% 13.43/3.17 % (29568)Memory used [KB]: 9210
% 13.43/3.17 % (29568)Time elapsed: 0.484 s
% 13.43/3.17 % (29568)Instructions burned: 923 (million)
% 13.43/3.17 % (29568)------------------------------
% 13.43/3.17 % (29568)------------------------------
% 13.43/3.18 % (29583)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_29384 for (2983ds/4350Mi)
% 13.43/3.19 % (29584)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_29384 for (2983ds/68Mi)
% 13.89/3.22 % (29584)Instruction limit reached!
% 13.89/3.22 % (29584)------------------------------
% 13.89/3.22 % (29584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.89/3.22 % (29584)Termination reason: Unknown
% 13.89/3.22 % (29584)Termination phase: Saturation
% 13.89/3.22
% 13.89/3.22 % (29584)Memory used [KB]: 6268
% 13.89/3.22 % (29584)Time elapsed: 0.033 s
% 13.89/3.22 % (29584)Instructions burned: 70 (million)
% 13.89/3.22 % (29584)------------------------------
% 13.89/3.22 % (29584)------------------------------
% 13.89/3.23 % (29585)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_29384 for (2983ds/358Mi)
% 14.44/3.31 % (29573)Instruction limit reached!
% 14.44/3.31 % (29573)------------------------------
% 14.44/3.31 % (29573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.44/3.31 % (29573)Termination reason: Unknown
% 14.44/3.31 % (29573)Termination phase: Saturation
% 14.44/3.31
% 14.44/3.31 % (29573)Memory used [KB]: 9466
% 14.44/3.31 % (29573)Time elapsed: 0.510 s
% 14.44/3.31 % (29573)Instructions burned: 1022 (million)
% 14.44/3.31 % (29573)------------------------------
% 14.44/3.31 % (29573)------------------------------
% 14.44/3.33 % (29586)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_29384 for (2982ds/31Mi)
% 14.44/3.34 % (29586)Instruction limit reached!
% 14.44/3.34 % (29586)------------------------------
% 14.44/3.34 % (29586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.44/3.34 % (29586)Termination reason: Unknown
% 14.44/3.34 % (29586)Termination phase: Property scanning
% 14.44/3.34
% 14.44/3.34 % (29586)Memory used [KB]: 1535
% 14.44/3.34 % (29586)Time elapsed: 0.016 s
% 14.44/3.34 % (29586)Instructions burned: 31 (million)
% 14.44/3.34 % (29586)------------------------------
% 14.44/3.34 % (29586)------------------------------
% 14.44/3.36 % (29587)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_29384 for (2982ds/279Mi)
% 14.90/3.41 % (29585)Instruction limit reached!
% 14.90/3.41 % (29585)------------------------------
% 14.90/3.41 % (29585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.90/3.41 % (29585)Termination reason: Unknown
% 14.90/3.41 % (29585)Termination phase: Saturation
% 14.90/3.41
% 14.90/3.41 % (29585)Memory used [KB]: 7164
% 14.90/3.41 % (29585)Time elapsed: 0.175 s
% 14.90/3.41 % (29585)Instructions burned: 359 (million)
% 14.90/3.41 % (29585)------------------------------
% 14.90/3.41 % (29585)------------------------------
% 14.90/3.42 % (29588)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_29384 for (2981ds/258Mi)
% 14.90/3.47 % (29587)Instruction limit reached!
% 14.90/3.47 % (29587)------------------------------
% 14.90/3.47 % (29587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.90/3.47 % (29587)Termination reason: Unknown
% 14.90/3.47 % (29587)Termination phase: Saturation
% 14.90/3.47
% 14.90/3.47 % (29587)Memory used [KB]: 6396
% 14.90/3.47 % (29587)Time elapsed: 0.109 s
% 14.90/3.47 % (29587)Instructions burned: 280 (million)
% 14.90/3.47 % (29587)------------------------------
% 14.90/3.47 % (29587)------------------------------
% 14.90/3.48 % (29589)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_29384 for (2980ds/26Mi)
% 14.90/3.50 % (29589)Instruction limit reached!
% 14.90/3.50 % (29589)------------------------------
% 14.90/3.50 % (29589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.90/3.50 % (29589)Termination reason: Unknown
% 14.90/3.50 % (29589)Termination phase: Property scanning
% 14.90/3.50
% 14.90/3.50 % (29589)Memory used [KB]: 1535
% 14.90/3.50 % (29589)Time elapsed: 0.014 s
% 14.90/3.50 % (29589)Instructions burned: 27 (million)
% 14.90/3.50 % (29589)------------------------------
% 14.90/3.50 % (29589)------------------------------
% 15.64/3.51 % (29590)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_29384 for (2980ds/995Mi)
% 15.64/3.54 % (29588)Instruction limit reached!
% 15.64/3.54 % (29588)------------------------------
% 15.64/3.54 % (29588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.64/3.54 % (29588)Termination reason: Unknown
% 15.64/3.54 % (29588)Termination phase: Saturation
% 15.64/3.54
% 15.64/3.54 % (29588)Memory used [KB]: 7803
% 15.64/3.54 % (29588)Time elapsed: 0.120 s
% 15.64/3.54 % (29588)Instructions burned: 259 (million)
% 15.64/3.54 % (29588)------------------------------
% 15.64/3.54 % (29588)------------------------------
% 15.64/3.56 % (29591)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_29384 for (2980ds/373Mi)
% 16.58/3.70 % (29579)Instruction limit reached!
% 16.58/3.70 % (29579)------------------------------
% 16.58/3.70 % (29579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.58/3.71 % (29579)Termination reason: Unknown
% 16.58/3.71 % (29579)Termination phase: Saturation
% 16.58/3.71
% 16.58/3.71 % (29579)Memory used [KB]: 8955
% 16.58/3.71 % (29579)Time elapsed: 0.776 s
% 16.58/3.71 % (29579)Instructions burned: 1540 (million)
% 16.58/3.71 % (29579)------------------------------
% 16.58/3.71 % (29579)------------------------------
% 16.58/3.72 % (29592)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_29384 for (2978ds/253Mi)
% 16.58/3.74 % (29591)Instruction limit reached!
% 16.58/3.74 % (29591)------------------------------
% 16.58/3.74 % (29591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.58/3.74 % (29591)Termination reason: Unknown
% 16.58/3.74 % (29591)Termination phase: Saturation
% 16.58/3.74
% 16.58/3.74 % (29591)Memory used [KB]: 7164
% 16.58/3.74 % (29591)Time elapsed: 0.185 s
% 16.58/3.74 % (29591)Instructions burned: 373 (million)
% 16.58/3.74 % (29591)------------------------------
% 16.58/3.74 % (29591)------------------------------
% 16.58/3.76 % (29593)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_29384 for (2978ds/832Mi)
% 17.10/3.82 % (29592)Instruction limit reached!
% 17.10/3.82 % (29592)------------------------------
% 17.10/3.82 % (29592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.10/3.82 % (29592)Termination reason: Unknown
% 17.10/3.82 % (29592)Termination phase: Saturation
% 17.10/3.82
% 17.10/3.82 % (29592)Memory used [KB]: 6268
% 17.10/3.82 % (29592)Time elapsed: 0.102 s
% 17.10/3.82 % (29592)Instructions burned: 255 (million)
% 17.10/3.82 % (29592)------------------------------
% 17.10/3.82 % (29592)------------------------------
% 17.10/3.84 % (29594)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_29384 for (2977ds/668Mi)
% 17.10/3.89 % (29590)Instruction limit reached!
% 17.10/3.89 % (29590)------------------------------
% 17.10/3.89 % (29590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.10/3.89 % (29590)Termination reason: Unknown
% 17.10/3.89 % (29590)Termination phase: Saturation
% 17.10/3.89
% 17.10/3.89 % (29590)Memory used [KB]: 7931
% 17.10/3.89 % (29590)Time elapsed: 0.383 s
% 17.10/3.89 % (29590)Instructions burned: 996 (million)
% 17.10/3.89 % (29590)------------------------------
% 17.10/3.89 % (29590)------------------------------
% 17.91/3.91 % (29582)Instruction limit reached!
% 17.91/3.91 % (29582)------------------------------
% 17.91/3.91 % (29582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.91/3.91 % (29582)Termination reason: Unknown
% 17.91/3.91 % (29582)Termination phase: Saturation
% 17.91/3.91
% 17.91/3.91 % (29582)Memory used [KB]: 3582
% 17.91/3.91 % (29582)Time elapsed: 0.912 s
% 17.91/3.91 % (29582)Instructions burned: 1914 (million)
% 17.91/3.91 % (29582)------------------------------
% 17.91/3.91 % (29582)------------------------------
% 17.91/3.91 % (29595)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_29384 for (2976ds/40Mi)
% 17.91/3.92 % (29596)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_29384 for (2976ds/294Mi)
% 17.91/3.93 % (29595)Instruction limit reached!
% 17.91/3.93 % (29595)------------------------------
% 17.91/3.93 % (29595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.91/3.93 % (29595)Termination reason: Unknown
% 17.91/3.93 % (29595)Termination phase: Function definition elimination
% 17.91/3.93
% 17.91/3.93 % (29595)Memory used [KB]: 1663
% 17.91/3.93 % (29595)Time elapsed: 0.020 s
% 17.91/3.93 % (29595)Instructions burned: 41 (million)
% 17.91/3.93 % (29595)------------------------------
% 17.91/3.93 % (29595)------------------------------
% 17.91/3.94 % (29597)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_29384 for (2976ds/187Mi)
% 19.74/4.04 % (29597)Instruction limit reached!
% 19.74/4.04 % (29597)------------------------------
% 19.74/4.04 % (29597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.74/4.04 % (29597)Termination reason: Unknown
% 19.74/4.04 % (29597)Termination phase: Saturation
% 19.74/4.04
% 19.74/4.04 % (29597)Memory used [KB]: 7036
% 19.74/4.04 % (29597)Time elapsed: 0.094 s
% 19.74/4.04 % (29597)Instructions burned: 187 (million)
% 19.74/4.04 % (29597)------------------------------
% 19.74/4.04 % (29597)------------------------------
% 19.74/4.05 % (29596)Instruction limit reached!
% 19.74/4.05 % (29596)------------------------------
% 19.74/4.05 % (29596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.74/4.05 % (29596)Termination reason: Unknown
% 19.74/4.05 % (29596)Termination phase: Saturation
% 19.74/4.05
% 19.74/4.05 % (29596)Memory used [KB]: 6268
% 19.74/4.05 % (29596)Time elapsed: 0.125 s
% 19.74/4.05 % (29596)Instructions burned: 294 (million)
% 19.74/4.05 % (29596)------------------------------
% 19.74/4.05 % (29596)------------------------------
% 19.74/4.05 % (29598)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_29384 for (2975ds/371Mi)
% 19.74/4.06 % (29599)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_29384 for (2975ds/1827Mi)
% 19.74/4.10 % (29594)Instruction limit reached!
% 19.74/4.10 % (29594)------------------------------
% 19.74/4.10 % (29594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.74/4.10 % (29594)Termination reason: Unknown
% 19.74/4.10 % (29594)Termination phase: Saturation
% 19.74/4.10
% 19.74/4.10 % (29594)Memory used [KB]: 12537
% 19.74/4.10 % (29594)Time elapsed: 0.256 s
% 19.74/4.10 % (29594)Instructions burned: 668 (million)
% 19.74/4.10 % (29594)------------------------------
% 19.74/4.10 % (29594)------------------------------
% 19.74/4.11 % (29600)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_29384 for (2974ds/70Mi)
% 20.26/4.14 % (29600)Instruction limit reached!
% 20.26/4.14 % (29600)------------------------------
% 20.26/4.14 % (29600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.26/4.14 % (29600)Termination reason: Unknown
% 20.26/4.14 % (29600)Termination phase: Saturation
% 20.26/4.14
% 20.26/4.14 % (29600)Memory used [KB]: 1663
% 20.26/4.14 % (29600)Time elapsed: 0.032 s
% 20.26/4.14 % (29600)Instructions burned: 70 (million)
% 20.26/4.14 % (29600)------------------------------
% 20.26/4.14 % (29600)------------------------------
% 20.26/4.16 % (29601)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_29384 for (2974ds/316Mi)
% 20.26/4.17 % (29593)Instruction limit reached!
% 20.26/4.17 % (29593)------------------------------
% 20.26/4.17 % (29593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.26/4.17 % (29593)Termination reason: Unknown
% 20.26/4.17 % (29593)Termination phase: Saturation
% 20.26/4.17
% 20.26/4.17 % (29593)Memory used [KB]: 9083
% 20.26/4.17 % (29593)Time elapsed: 0.413 s
% 20.26/4.17 % (29593)Instructions burned: 832 (million)
% 20.26/4.17 % (29593)------------------------------
% 20.26/4.17 % (29593)------------------------------
% 20.26/4.19 % (29602)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_29384 for (2973ds/932Mi)
% 20.57/4.21 % (29598)Refutation not found, non-redundant clauses discarded% (29598)------------------------------
% 20.57/4.21 % (29598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.57/4.21 % (29598)Termination reason: Refutation not found, non-redundant clauses discarded
% 20.57/4.21
% 20.57/4.21 % (29598)Memory used [KB]: 7164
% 20.57/4.21 % (29598)Time elapsed: 0.160 s
% 20.57/4.21 % (29598)Instructions burned: 344 (million)
% 20.57/4.21 % (29598)------------------------------
% 20.57/4.21 % (29598)------------------------------
% 20.57/4.23 % (29603)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_29384 for (2973ds/4714Mi)
% 20.57/4.29 % (29601)Instruction limit reached!
% 20.57/4.29 % (29601)------------------------------
% 20.57/4.29 % (29601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.57/4.29 % (29601)Termination reason: Unknown
% 20.57/4.29 % (29601)Termination phase: Saturation
% 20.57/4.29
% 20.57/4.29 % (29601)Memory used [KB]: 6652
% 20.57/4.29 % (29601)Time elapsed: 0.128 s
% 20.57/4.29 % (29601)Instructions burned: 317 (million)
% 20.57/4.29 % (29601)------------------------------
% 20.57/4.29 % (29601)------------------------------
% 21.19/4.30 % (29604)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_29384 for (2972ds/8250Mi)
% 21.80/4.55 % (29602)Instruction limit reached!
% 21.80/4.55 % (29602)------------------------------
% 21.80/4.55 % (29602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.80/4.55 % (29602)Termination reason: Unknown
% 21.80/4.55 % (29602)Termination phase: Saturation
% 21.80/4.55
% 21.80/4.55 % (29602)Memory used [KB]: 8443
% 21.80/4.55 % (29602)Time elapsed: 0.391 s
% 21.80/4.55 % (29602)Instructions burned: 933 (million)
% 21.80/4.55 % (29602)------------------------------
% 21.80/4.55 % (29602)------------------------------
% 21.80/4.57 % (29605)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_29384 for (2970ds/770Mi)
% 23.38/4.92 % (29605)Instruction limit reached!
% 23.38/4.92 % (29605)------------------------------
% 23.38/4.92 % (29605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.38/4.92 % (29605)Termination reason: Unknown
% 23.38/4.92 % (29605)Termination phase: Saturation
% 23.38/4.92
% 23.38/4.92 % (29605)Memory used [KB]: 6652
% 23.38/4.92 % (29605)Time elapsed: 0.371 s
% 23.38/4.92 % (29605)Instructions burned: 770 (million)
% 23.38/4.92 % (29605)------------------------------
% 23.38/4.92 % (29605)------------------------------
% 23.38/4.93 % (29606)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_29384 for (2966ds/794Mi)
% 23.38/4.95 % (29599)Instruction limit reached!
% 23.38/4.95 % (29599)------------------------------
% 23.38/4.95 % (29599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.38/4.95 % (29599)Termination reason: Unknown
% 23.38/4.95 % (29599)Termination phase: Saturation
% 23.38/4.95
% 23.38/4.95 % (29599)Memory used [KB]: 14967
% 23.38/4.95 % (29599)Time elapsed: 0.905 s
% 23.38/4.95 % (29599)Instructions burned: 1828 (million)
% 23.38/4.95 % (29599)------------------------------
% 23.38/4.95 % (29599)------------------------------
% 23.38/4.96 % (29607)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_29384 for (2966ds/464Mi)
% 23.38/5.02 % (29581)Instruction limit reached!
% 23.38/5.02 % (29581)------------------------------
% 23.38/5.02 % (29581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.38/5.02 % (29581)Termination reason: Unknown
% 23.38/5.02 % (29581)Termination phase: Saturation
% 23.38/5.02
% 23.38/5.02 % (29581)Memory used [KB]: 11385
% 23.38/5.02 % (29581)Time elapsed: 2.039 s
% 23.38/5.02 % (29581)Instructions burned: 5207 (million)
% 23.38/5.02 % (29581)------------------------------
% 23.38/5.02 % (29581)------------------------------
% 26.75/5.03 % (29608)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_29384 for (2965ds/1376Mi)
% 27.35/5.13 % (29578)Instruction limit reached!
% 27.35/5.13 % (29578)------------------------------
% 27.35/5.13 % (29578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.35/5.13 % (29578)Termination reason: Unknown
% 27.35/5.13 % (29578)Termination phase: Saturation
% 27.35/5.13
% 27.35/5.13 % (29578)Memory used [KB]: 14583
% 27.35/5.13 % (29578)Time elapsed: 2.232 s
% 27.35/5.13 % (29578)Instructions burned: 4437 (million)
% 27.35/5.13 % (29578)------------------------------
% 27.35/5.13 % (29578)------------------------------
% 27.35/5.15 % (29609)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_29384 for (2964ds/906Mi)
% 27.35/5.19 % (29607)Instruction limit reached!
% 27.35/5.19 % (29607)------------------------------
% 27.35/5.19 % (29607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.35/5.19 % (29607)Termination reason: Unknown
% 27.35/5.19 % (29607)Termination phase: Saturation
% 27.35/5.19
% 27.35/5.19 % (29607)Memory used [KB]: 7419
% 27.35/5.19 % (29607)Time elapsed: 0.256 s
% 27.35/5.19 % (29607)Instructions burned: 465 (million)
% 27.35/5.19 % (29607)------------------------------
% 27.35/5.19 % (29607)------------------------------
% 27.72/5.21 % (29610)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_29384 for (2963ds/434Mi)
% 28.12/5.31 % (29583)Instruction limit reached!
% 28.12/5.31 % (29583)------------------------------
% 28.12/5.31 % (29583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.12/5.31 % (29583)Termination reason: Unknown
% 28.12/5.31 % (29583)Termination phase: Saturation
% 28.12/5.31
% 28.12/5.31 % (29583)Memory used [KB]: 10362
% 28.12/5.31 % (29583)Time elapsed: 2.135 s
% 28.12/5.31 % (29583)Instructions burned: 4350 (million)
% 28.12/5.31 % (29583)------------------------------
% 28.12/5.31 % (29583)------------------------------
% 28.12/5.33 % (29606)Instruction limit reached!
% 28.12/5.33 % (29606)------------------------------
% 28.12/5.33 % (29606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.12/5.33 % (29606)Termination reason: Unknown
% 28.12/5.33 % (29606)Termination phase: Saturation
% 28.12/5.33
% 28.12/5.33 % (29606)Memory used [KB]: 3837
% 28.12/5.33 % (29606)Time elapsed: 0.423 s
% 28.12/5.33 % (29606)Instructions burned: 794 (million)
% 28.12/5.33 % (29606)------------------------------
% 28.12/5.33 % (29606)------------------------------
% 28.12/5.33 % (29611)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_29384 for (2962ds/865Mi)
% 28.12/5.35 % (29612)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_29384 for (2962ds/593Mi)
% 28.40/5.43 % (29610)Instruction limit reached!
% 28.40/5.43 % (29610)------------------------------
% 28.40/5.43 % (29610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.40/5.43 % (29610)Termination reason: Unknown
% 28.40/5.43 % (29610)Termination phase: Saturation
% 28.40/5.43
% 28.40/5.43 % (29610)Memory used [KB]: 8571
% 28.40/5.43 % (29610)Time elapsed: 0.217 s
% 28.40/5.43 % (29610)Instructions burned: 435 (million)
% 28.40/5.43 % (29610)------------------------------
% 28.40/5.43 % (29610)------------------------------
% 28.40/5.44 % (29613)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_29384 for (2961ds/443Mi)
% 28.83/5.56 % (29612)Instruction limit reached!
% 28.83/5.56 % (29612)------------------------------
% 28.83/5.56 % (29612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.83/5.56 % (29612)Termination reason: Unknown
% 28.83/5.56 % (29612)Termination phase: Saturation
% 28.83/5.56
% 28.83/5.56 % (29612)Memory used [KB]: 6396
% 28.83/5.56 % (29612)Time elapsed: 0.217 s
% 28.83/5.56 % (29612)Instructions burned: 593 (million)
% 28.83/5.56 % (29612)------------------------------
% 28.83/5.56 % (29612)------------------------------
% 28.83/5.58 % (29614)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_29384 for (2959ds/594Mi)
% 28.83/5.59 % (29608)Instruction limit reached!
% 28.83/5.59 % (29608)------------------------------
% 28.83/5.59 % (29608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.83/5.59 % (29608)Termination reason: Unknown
% 28.83/5.59 % (29608)Termination phase: Saturation
% 28.83/5.59
% 28.83/5.59 % (29608)Memory used [KB]: 7803
% 28.83/5.59 % (29608)Time elapsed: 0.579 s
% 28.83/5.59 % (29608)Instructions burned: 1377 (million)
% 28.83/5.59 % (29608)------------------------------
% 28.83/5.59 % (29608)------------------------------
% 29.83/5.60 % (29609)Instruction limit reached!
% 29.83/5.60 % (29609)------------------------------
% 29.83/5.60 % (29609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.83/5.60 % (29609)Termination reason: Unknown
% 29.83/5.60 % (29609)Termination phase: Saturation
% 29.83/5.60
% 29.83/5.60 % (29609)Memory used [KB]: 8187
% 29.83/5.60 % (29609)Time elapsed: 0.458 s
% 29.83/5.60 % (29609)Instructions burned: 906 (million)
% 29.83/5.60 % (29609)------------------------------
% 29.83/5.60 % (29609)------------------------------
% 29.83/5.61 % (29615)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_29384 for (2959ds/327Mi)
% 29.83/5.62 % (29616)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_29384 for (2959ds/5411Mi)
% 29.83/5.66 % (29613)Instruction limit reached!
% 29.83/5.66 % (29613)------------------------------
% 29.83/5.66 % (29613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.83/5.66 % (29613)Termination reason: Unknown
% 29.83/5.66 % (29613)Termination phase: Saturation
% 29.83/5.66
% 29.83/5.66 % (29613)Memory used [KB]: 7419
% 29.83/5.66 % (29613)Time elapsed: 0.219 s
% 29.83/5.66 % (29613)Instructions burned: 444 (million)
% 29.83/5.66 % (29613)------------------------------
% 29.83/5.66 % (29613)------------------------------
% 29.83/5.68 % (29617)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_29384 for (2958ds/1762Mi)
% 29.83/5.68 % (29603)Instruction limit reached!
% 29.83/5.68 % (29603)------------------------------
% 29.83/5.68 % (29603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.83/5.68 % (29603)Termination reason: Unknown
% 29.83/5.68 % (29603)Termination phase: Saturation
% 29.83/5.68
% 29.83/5.68 % (29603)Memory used [KB]: 6780
% 29.83/5.68 % (29603)Time elapsed: 1.473 s
% 29.83/5.68 % (29603)Instructions burned: 4717 (million)
% 29.83/5.68 % (29603)------------------------------
% 29.83/5.68 % (29603)------------------------------
% 29.83/5.69 % (29618)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_29384 for (2958ds/96Mi)
% 30.72/5.70 % (29611)Instruction limit reached!
% 30.72/5.70 % (29611)------------------------------
% 30.72/5.70 % (29611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.70 % (29611)Termination reason: Unknown
% 30.72/5.70 % (29611)Termination phase: Saturation
% 30.72/5.70
% 30.72/5.70 % (29611)Memory used [KB]: 7291
% 30.72/5.70 % (29611)Time elapsed: 0.371 s
% 30.72/5.70 % (29611)Instructions burned: 865 (million)
% 30.72/5.70 % (29611)------------------------------
% 30.72/5.70 % (29611)------------------------------
% 30.72/5.72 % (29619)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_29384 for (2958ds/503Mi)
% 30.72/5.73 % (29618)Instruction limit reached!
% 30.72/5.73 % (29618)------------------------------
% 30.72/5.73 % (29618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.73 % (29618)Termination reason: Unknown
% 30.72/5.73 % (29618)Termination phase: Saturation
% 30.72/5.73
% 30.72/5.73 % (29618)Memory used [KB]: 6140
% 30.72/5.73 % (29618)Time elapsed: 0.042 s
% 30.72/5.73 % (29618)Instructions burned: 96 (million)
% 30.72/5.73 % (29618)------------------------------
% 30.72/5.73 % (29618)------------------------------
% 30.72/5.75 % (29620)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_29384 for (2958ds/90Mi)
% 30.72/5.77 % (29615)Instruction limit reached!
% 30.72/5.77 % (29615)------------------------------
% 30.72/5.77 % (29615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.77 % (29615)Termination reason: Unknown
% 30.72/5.77 % (29615)Termination phase: Saturation
% 30.72/5.77
% 30.72/5.77 % (29615)Memory used [KB]: 8699
% 30.72/5.77 % (29615)Time elapsed: 0.168 s
% 30.72/5.77 % (29615)Instructions burned: 327 (million)
% 30.72/5.77 % (29615)------------------------------
% 30.72/5.77 % (29615)------------------------------
% 30.72/5.79 % (29621)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_29384 for (2957ds/593Mi)
% 30.72/5.79 % (29620)Instruction limit reached!
% 30.72/5.79 % (29620)------------------------------
% 30.72/5.79 % (29620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.72/5.79 % (29620)Termination reason: Unknown
% 30.72/5.79 % (29620)Termination phase: Saturation
% 30.72/5.79
% 30.72/5.79 % (29620)Memory used [KB]: 6524
% 30.72/5.79 % (29620)Time elapsed: 0.044 s
% 30.72/5.79 % (29620)Instructions burned: 91 (million)
% 30.72/5.79 % (29620)------------------------------
% 30.72/5.79 % (29620)------------------------------
% 31.49/5.81 % (29622)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_29384 for (2957ds/1512Mi)
% 31.49/5.87 % (29614)Instruction limit reached!
% 31.49/5.87 % (29614)------------------------------
% 31.49/5.87 % (29614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.49/5.87 % (29614)Termination reason: Unknown
% 31.49/5.87 % (29614)Termination phase: Saturation
% 31.49/5.87
% 31.49/5.87 % (29614)Memory used [KB]: 7419
% 31.49/5.87 % (29614)Time elapsed: 0.293 s
% 31.49/5.87 % (29614)Instructions burned: 594 (million)
% 31.49/5.87 % (29614)------------------------------
% 31.49/5.87 % (29614)------------------------------
% 31.49/5.89 % (29623)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_29384 for (2956ds/569Mi)
% 31.90/5.90 % (29619)Refutation not found, non-redundant clauses discarded% (29619)------------------------------
% 31.90/5.90 % (29619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.90/5.90 % (29619)Termination reason: Refutation not found, non-redundant clauses discarded
% 31.90/5.90
% 31.90/5.90 % (29619)Memory used [KB]: 7291
% 31.90/5.90 % (29619)Time elapsed: 0.189 s
% 31.90/5.90 % (29619)Instructions burned: 382 (million)
% 31.90/5.90 % (29619)------------------------------
% 31.90/5.90 % (29619)------------------------------
% 31.90/5.92 % (29624)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_29384 for (2956ds/501Mi)
% 33.64/6.08 % (29621)Instruction limit reached!
% 33.64/6.08 % (29621)------------------------------
% 33.64/6.08 % (29621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.64/6.08 % (29621)Termination reason: Unknown
% 33.64/6.08 % (29621)Termination phase: Saturation
% 33.64/6.08
% 33.64/6.08 % (29621)Memory used [KB]: 7291
% 33.64/6.08 % (29621)Time elapsed: 0.295 s
% 33.64/6.08 % (29621)Instructions burned: 593 (million)
% 33.64/6.08 % (29621)------------------------------
% 33.64/6.08 % (29621)------------------------------
% 33.64/6.10 % (29625)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_29384 for (2954ds/562Mi)
% 33.64/6.11 % (29623)Instruction limit reached!
% 33.64/6.11 % (29623)------------------------------
% 33.64/6.11 % (29623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.64/6.11 % (29623)Termination reason: Unknown
% 33.64/6.11 % (29623)Termination phase: Saturation
% 33.64/6.11
% 33.64/6.11 % (29623)Memory used [KB]: 7931
% 33.64/6.11 % (29623)Time elapsed: 0.222 s
% 33.64/6.11 % (29623)Instructions burned: 569 (million)
% 33.64/6.11 % (29623)------------------------------
% 33.64/6.11 % (29623)------------------------------
% 34.32/6.12 % (29626)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_29384 for (2954ds/406Mi)
% 34.32/6.17 % (29624)Instruction limit reached!
% 34.32/6.17 % (29624)------------------------------
% 34.32/6.17 % (29624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.32/6.17 % (29624)Termination reason: Unknown
% 34.32/6.17 % (29624)Termination phase: Saturation
% 34.32/6.17
% 34.32/6.17 % (29624)Memory used [KB]: 8443
% 34.32/6.17 % (29624)Time elapsed: 0.253 s
% 34.32/6.17 % (29624)Instructions burned: 501 (million)
% 34.32/6.17 % (29624)------------------------------
% 34.32/6.17 % (29624)------------------------------
% 34.32/6.19 % (29627)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_29384 for (2953ds/582Mi)
% 34.71/6.21 % (29626)Refutation not found, incomplete strategy
% 34.71/6.21 % (29626)------------------------------
% 34.71/6.21 % (29626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.71/6.21 % (29626)Termination reason: Refutation not found, incomplete strategy
% 34.71/6.21
% 34.71/6.21
% 34.71/6.21 % (29626)Memory used [KB]: 6396
% 34.71/6.21 % (29626)Time elapsed: 0.089 s
% 34.71/6.21 % (29626)Instructions burned: 187 (million)
% 34.71/6.21 % (29626)------------------------------
% 34.71/6.21 % (29626)------------------------------
% 34.71/6.23 % (29628)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_29384 for (2953ds/456Mi)
% 35.21/6.36 % (29625)Instruction limit reached!
% 35.21/6.36 % (29625)------------------------------
% 35.21/6.36 % (29625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.21/6.36 % (29625)Termination reason: Unknown
% 35.21/6.36 % (29625)Termination phase: Saturation
% 35.21/6.36
% 35.21/6.36 % (29625)Memory used [KB]: 7419
% 35.21/6.36 % (29625)Time elapsed: 0.266 s
% 35.21/6.36 % (29625)Instructions burned: 563 (million)
% 35.21/6.36 % (29625)------------------------------
% 35.21/6.36 % (29625)------------------------------
% 35.21/6.38 % (29617)Instruction limit reached!
% 35.21/6.38 % (29617)------------------------------
% 35.21/6.38 % (29617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.21/6.38 % (29617)Termination reason: Unknown
% 35.21/6.38 % (29617)Termination phase: Saturation
% 35.21/6.38
% 35.21/6.38 % (29617)Memory used [KB]: 9466
% 35.21/6.38 % (29617)Time elapsed: 0.704 s
% 35.21/6.38 % (29617)Instructions burned: 1764 (million)
% 35.21/6.38 % (29617)------------------------------
% 35.21/6.38 % (29617)------------------------------
% 35.21/6.38 % (29629)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_29384 for (2951ds/393Mi)
% 35.90/6.40 % (29630)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_29384 for (2951ds/1335Mi)
% 35.90/6.44 % (29628)Refutation not found, non-redundant clauses discarded% (29628)------------------------------
% 35.90/6.44 % (29628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.90/6.44 % (29628)Termination reason: Refutation not found, non-redundant clauses discarded
% 35.90/6.44
% 35.90/6.44 % (29628)Memory used [KB]: 7291
% 35.90/6.44 % (29628)Time elapsed: 0.209 s
% 35.90/6.44 % (29628)Instructions burned: 450 (million)
% 35.90/6.44 % (29628)------------------------------
% 35.90/6.44 % (29628)------------------------------
% 35.90/6.46 % (29627)Instruction limit reached!
% 35.90/6.46 % (29627)------------------------------
% 35.90/6.46 % (29627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.90/6.46 % (29627)Termination reason: Unknown
% 35.90/6.46 % (29627)Termination phase: Saturation
% 35.90/6.46
% 35.90/6.46 % (29627)Memory used [KB]: 8443
% 35.90/6.46 % (29627)Time elapsed: 0.268 s
% 35.90/6.46 % (29627)Instructions burned: 583 (million)
% 35.90/6.46 % (29627)------------------------------
% 35.90/6.46 % (29627)------------------------------
% 35.90/6.46 % (29631)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_29384 for (2951ds/3373Mi)
% 35.90/6.47 % (29632)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_29384 for (2951ds/474Mi)
% 36.70/6.56 % (29622)Instruction limit reached!
% 36.70/6.56 % (29622)------------------------------
% 36.70/6.56 % (29622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.70/6.56 % (29622)Termination reason: Unknown
% 36.70/6.56 % (29622)Termination phase: Saturation
% 36.70/6.56
% 36.70/6.56 % (29622)Memory used [KB]: 12025
% 36.70/6.56 % (29622)Time elapsed: 0.752 s
% 36.70/6.56 % (29622)Instructions burned: 1513 (million)
% 36.70/6.56 % (29622)------------------------------
% 36.70/6.56 % (29622)------------------------------
% 36.70/6.57 % (29629)Instruction limit reached!
% 36.70/6.57 % (29629)------------------------------
% 36.70/6.57 % (29629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.70/6.57 % (29629)Termination reason: Unknown
% 36.70/6.57 % (29629)Termination phase: Saturation
% 36.70/6.57
% 36.70/6.57 % (29629)Memory used [KB]: 7931
% 36.70/6.57 % (29629)Time elapsed: 0.192 s
% 36.70/6.57 % (29629)Instructions burned: 394 (million)
% 36.70/6.57 % (29629)------------------------------
% 36.70/6.57 % (29629)------------------------------
% 36.70/6.57 % (29633)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_29384 for (2949ds/157Mi)
% 36.70/6.58 % (29632)Instruction limit reached!
% 36.70/6.58 % (29632)------------------------------
% 36.70/6.58 % (29632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.70/6.58 % (29632)Termination reason: Unknown
% 36.70/6.58 % (29632)Termination phase: Saturation
% 36.70/6.58
% 36.70/6.58 % (29632)Memory used [KB]: 7931
% 36.70/6.58 % (29632)Time elapsed: 0.115 s
% 36.70/6.58 % (29632)Instructions burned: 478 (million)
% 36.70/6.58 % (29632)------------------------------
% 36.70/6.58 % (29632)------------------------------
% 36.70/6.59 % (29634)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_29384 for (2949ds/590Mi)
% 36.70/6.59 % (29635)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_29384 for (2949ds/104Mi)
% 37.32/6.61 % (29633)Instruction limit reached!
% 37.32/6.61 % (29633)------------------------------
% 37.32/6.61 % (29633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.32/6.61 % (29633)Termination reason: Unknown
% 37.32/6.61 % (29633)Termination phase: Saturation
% 37.32/6.61
% 37.32/6.61 % (29633)Memory used [KB]: 6268
% 37.32/6.61 % (29633)Time elapsed: 0.040 s
% 37.32/6.61 % (29633)Instructions burned: 159 (million)
% 37.32/6.61 % (29633)------------------------------
% 37.32/6.61 % (29633)------------------------------
% 37.32/6.62 % (29635)Instruction limit reached!
% 37.32/6.62 % (29635)------------------------------
% 37.32/6.62 % (29635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.32/6.62 % (29635)Termination reason: Unknown
% 37.32/6.62 % (29635)Termination phase: Saturation
% 37.32/6.62
% 37.32/6.62 % (29635)Memory used [KB]: 6652
% 37.32/6.62 % (29635)Time elapsed: 0.029 s
% 37.32/6.62 % (29635)Instructions burned: 104 (million)
% 37.32/6.62 % (29635)------------------------------
% 37.32/6.62 % (29635)------------------------------
% 37.32/6.62 % (29636)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_29384 for (2949ds/414Mi)
% 37.32/6.63 % (29637)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_29384 for (2949ds/715Mi)
% 37.59/6.73 % (29636)Instruction limit reached!
% 37.59/6.73 % (29636)------------------------------
% 37.59/6.73 % (29636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.59/6.73 % (29636)Termination reason: Unknown
% 37.59/6.73 % (29636)Termination phase: Saturation
% 37.59/6.73
% 37.59/6.73 % (29636)Memory used [KB]: 6268
% 37.59/6.73 % (29636)Time elapsed: 0.112 s
% 37.59/6.73 % (29636)Instructions burned: 415 (million)
% 37.59/6.73 % (29636)------------------------------
% 37.59/6.73 % (29636)------------------------------
% 37.59/6.75 % (29638)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_29384 for (2948ds/961Mi)
% 37.92/6.80 % (29634)Instruction limit reached!
% 37.92/6.80 % (29634)------------------------------
% 37.92/6.80 % (29634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.92/6.80 % (29634)Termination reason: Unknown
% 37.92/6.80 % (29634)Termination phase: Saturation
% 37.92/6.80
% 37.92/6.80 % (29634)Memory used [KB]: 8315
% 37.92/6.80 % (29634)Time elapsed: 0.216 s
% 37.92/6.80 % (29634)Instructions burned: 593 (million)
% 37.92/6.80 % (29634)------------------------------
% 37.92/6.80 % (29634)------------------------------
% 37.92/6.81 % (29639)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_29384 for (2947ds/1213Mi)
% 37.92/6.82 % (29630)Refutation not found, non-redundant clauses discarded% (29630)------------------------------
% 37.92/6.82 % (29630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.92/6.82 % (29630)Termination reason: Refutation not found, non-redundant clauses discarded
% 37.92/6.82
% 37.92/6.82 % (29630)Memory used [KB]: 7675
% 37.92/6.82 % (29630)Time elapsed: 0.428 s
% 37.92/6.82 % (29630)Instructions burned: 1286 (million)
% 37.92/6.82 % (29630)------------------------------
% 37.92/6.82 % (29630)------------------------------
% 37.92/6.84 % (29640)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_29384 for (2947ds/1979Mi)
% 37.92/6.84 % (29637)Instruction limit reached!
% 37.92/6.84 % (29637)------------------------------
% 37.92/6.84 % (29637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.92/6.84 % (29637)Termination reason: Unknown
% 37.92/6.84 % (29637)Termination phase: Saturation
% 37.92/6.84
% 37.92/6.84 % (29637)Memory used [KB]: 3326
% 37.92/6.84 % (29637)Time elapsed: 0.218 s
% 37.92/6.84 % (29637)Instructions burned: 717 (million)
% 37.92/6.84 % (29637)------------------------------
% 37.92/6.84 % (29637)------------------------------
% 37.92/6.85 % (29641)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_29384 for (2947ds/481Mi)
% 39.02/6.97 % (29641)Instruction limit reached!
% 39.02/6.97 % (29641)------------------------------
% 39.02/6.97 % (29641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.02/6.97 % (29641)Termination reason: Unknown
% 39.02/6.97 % (29641)Termination phase: Saturation
% 39.02/6.97
% 39.02/6.97 % (29641)Memory used [KB]: 7931
% 39.02/6.97 % (29641)Time elapsed: 0.139 s
% 39.02/6.97 % (29641)Instructions burned: 484 (million)
% 39.02/6.97 % (29641)------------------------------
% 39.02/6.97 % (29641)------------------------------
% 39.02/6.98 % (29642)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_29384 for (2945ds/783Mi)
% 41.32/7.13 % (29638)Instruction limit reached!
% 41.32/7.13 % (29638)------------------------------
% 41.32/7.13 % (29638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.32/7.13 % (29638)Termination reason: Unknown
% 41.32/7.13 % (29638)Termination phase: Saturation
% 41.32/7.13
% 41.32/7.13 % (29638)Memory used [KB]: 7675
% 41.32/7.13 % (29638)Time elapsed: 0.393 s
% 41.32/7.13 % (29638)Instructions burned: 962 (million)
% 41.32/7.13 % (29638)------------------------------
% 41.32/7.13 % (29638)------------------------------
% 41.32/7.14 % (29643)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_29384 for (2944ds/432Mi)
% 41.32/7.18 % (29639)Instruction limit reached!
% 41.32/7.18 % (29639)------------------------------
% 41.32/7.18 % (29639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.32/7.18 % (29639)Termination reason: Unknown
% 41.32/7.18 % (29639)Termination phase: Saturation
% 41.32/7.18
% 41.32/7.18 % (29639)Memory used [KB]: 10362
% 41.32/7.18 % (29639)Time elapsed: 0.394 s
% 41.32/7.18 % (29639)Instructions burned: 1213 (million)
% 41.32/7.18 % (29639)------------------------------
% 41.32/7.18 % (29639)------------------------------
% 41.32/7.19 % (29644)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_29384 for (2943ds/1670Mi)
% 41.86/7.23 % (29642)Instruction limit reached!
% 41.86/7.23 % (29642)------------------------------
% 41.86/7.23 % (29642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.86/7.23 % (29642)Termination reason: Unknown
% 41.86/7.23 % (29642)Termination phase: Saturation
% 41.86/7.23
% 41.86/7.23 % (29642)Memory used [KB]: 9210
% 41.86/7.23 % (29642)Time elapsed: 0.277 s
% 41.86/7.23 % (29642)Instructions burned: 784 (million)
% 41.86/7.23 % (29642)------------------------------
% 41.86/7.23 % (29642)------------------------------
% 41.86/7.24 % (29645)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_29384 for (2943ds/90Mi)
% 41.86/7.27 % (29645)Instruction limit reached!
% 41.86/7.27 % (29645)------------------------------
% 41.86/7.27 % (29645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.86/7.27 % (29645)Termination reason: Unknown
% 41.86/7.27 % (29645)Termination phase: Saturation
% 41.86/7.27
% 41.86/7.27 % (29645)Memory used [KB]: 6396
% 41.86/7.27 % (29645)Time elapsed: 0.027 s
% 41.86/7.27 % (29645)Instructions burned: 91 (million)
% 41.86/7.27 % (29645)------------------------------
% 41.86/7.27 % (29645)------------------------------
% 41.86/7.28 % (29646)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_29384 for (2942ds/346Mi)
% 41.86/7.29 % (29643)Instruction limit reached!
% 41.86/7.29 % (29643)------------------------------
% 41.86/7.29 % (29643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.86/7.29 % (29643)Termination reason: Unknown
% 41.86/7.29 % (29643)Termination phase: Saturation
% 41.86/7.29
% 41.86/7.29 % (29643)Memory used [KB]: 7675
% 41.86/7.29 % (29643)Time elapsed: 0.148 s
% 41.86/7.29 % (29643)Instructions burned: 433 (million)
% 41.86/7.29 % (29643)------------------------------
% 41.86/7.29 % (29643)------------------------------
% 41.86/7.30 % (29647)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_29384 for (2942ds/401Mi)
% 42.48/7.36 % (29646)Instruction limit reached!
% 42.48/7.36 % (29646)------------------------------
% 42.48/7.36 % (29646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.48/7.36 % (29646)Termination reason: Unknown
% 42.48/7.36 % (29646)Termination phase: Saturation
% 42.48/7.36
% 42.48/7.36 % (29646)Memory used [KB]: 7931
% 42.48/7.36 % (29646)Time elapsed: 0.085 s
% 42.48/7.36 % (29646)Instructions burned: 348 (million)
% 42.48/7.36 % (29646)------------------------------
% 42.48/7.36 % (29646)------------------------------
% 42.48/7.37 % (29662)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_29384 for (2941ds/6454Mi)
% 42.48/7.39 % (29647)Instruction limit reached!
% 42.48/7.39 % (29647)------------------------------
% 42.48/7.39 % (29647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.48/7.39 % (29647)Termination reason: Unknown
% 42.48/7.39 % (29647)Termination phase: Saturation
% 42.48/7.39
% 42.48/7.39 % (29647)Memory used [KB]: 6268
% 42.48/7.39 % (29647)Time elapsed: 0.095 s
% 42.48/7.39 % (29647)Instructions burned: 401 (million)
% 42.48/7.39 % (29647)------------------------------
% 42.48/7.39 % (29647)------------------------------
% 43.08/7.40 % (29675)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_29384 for (2941ds/283Mi)
% 43.08/7.41 % (29640)Refutation not found, non-redundant clauses discarded% (29640)------------------------------
% 43.08/7.41 % (29640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.08/7.41 % (29640)Termination reason: Refutation not found, non-redundant clauses discarded
% 43.08/7.41
% 43.08/7.41 % (29640)Memory used [KB]: 8443
% 43.08/7.41 % (29640)Time elapsed: 0.596 s
% 43.08/7.41 % (29640)Instructions burned: 1881 (million)
% 43.08/7.41 % (29640)------------------------------
% 43.08/7.41 % (29640)------------------------------
% 43.08/7.42 % (29687)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_29384 for (2941ds/865Mi)
% 43.08/7.49 % (29675)Instruction limit reached!
% 43.08/7.49 % (29675)------------------------------
% 43.08/7.49 % (29675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.08/7.49 % (29675)Termination reason: Unknown
% 43.08/7.49 % (29675)Termination phase: Saturation
% 43.08/7.49
% 43.08/7.49 % (29675)Memory used [KB]: 7291
% 43.08/7.49 % (29675)Time elapsed: 0.090 s
% 43.08/7.49 % (29675)Instructions burned: 283 (million)
% 43.08/7.49 % (29675)------------------------------
% 43.08/7.49 % (29675)------------------------------
% 43.49/7.50 % (29717)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_29384 for (2940ds/4528Mi)
% 43.49/7.52 % (29631)Instruction limit reached!
% 43.49/7.52 % (29631)------------------------------
% 43.49/7.52 % (29631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.49/7.52 % (29631)Termination reason: Unknown
% 43.49/7.52 % (29631)Termination phase: Saturation
% 43.49/7.52
% 43.49/7.52 % (29631)Memory used [KB]: 11385
% 43.49/7.52 % (29631)Time elapsed: 1.068 s
% 43.49/7.52 % (29631)Instructions burned: 3374 (million)
% 43.49/7.52 % (29631)------------------------------
% 43.49/7.52 % (29631)------------------------------
% 43.49/7.53 % (29734)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_29384 for (2940ds/1001Mi)
% 43.49/7.54 % (29717)Refutation not found, incomplete strategy
% 43.49/7.54 % (29717)------------------------------
% 43.49/7.54 % (29717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.49/7.54 % (29717)Termination reason: Refutation not found, incomplete strategy
% 43.49/7.54
% 43.49/7.54
% 43.49/7.54 % (29717)Memory used [KB]: 1791
% 43.49/7.54 % (29717)Time elapsed: 0.039 s
% 43.49/7.54 % (29717)Instructions burned: 141 (million)
% 43.49/7.54 % (29717)------------------------------
% 43.49/7.54 % (29717)------------------------------
% 43.49/7.55 % (29739)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_29384 for (2940ds/102Mi)
% 43.49/7.58 % (29739)Instruction limit reached!
% 43.49/7.58 % (29739)------------------------------
% 43.49/7.58 % (29739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.49/7.58 % (29739)Termination reason: Unknown
% 43.49/7.58 % (29739)Termination phase: Saturation
% 43.49/7.58
% 43.49/7.58 % (29739)Memory used [KB]: 6396
% 43.49/7.58 % (29739)Time elapsed: 0.031 s
% 43.49/7.58 % (29739)Instructions burned: 102 (million)
% 43.49/7.58 % (29739)------------------------------
% 43.49/7.58 % (29739)------------------------------
% 43.49/7.59 % (29764)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_29384 for (2939ds/952Mi)
% 43.80/7.61 % (29616)Instruction limit reached!
% 43.80/7.61 % (29616)------------------------------
% 43.80/7.61 % (29616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.80/7.61 % (29616)Termination reason: Unknown
% 43.80/7.61 % (29616)Termination phase: Saturation
% 43.80/7.61
% 43.80/7.61 % (29616)Memory used [KB]: 15223
% 43.80/7.61 % (29616)Time elapsed: 1.983 s
% 43.80/7.61 % (29616)Instructions burned: 5411 (million)
% 43.80/7.61 % (29616)------------------------------
% 43.80/7.61 % (29616)------------------------------
% 43.80/7.62 % (29644)Instruction limit reached!
% 43.80/7.62 % (29644)------------------------------
% 43.80/7.62 % (29644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.80/7.62 % (29644)Termination reason: Unknown
% 43.80/7.62 % (29644)Termination phase: Saturation
% 43.80/7.62
% 43.80/7.62 % (29644)Memory used [KB]: 9083
% 43.80/7.62 % (29644)Time elapsed: 0.426 s
% 43.80/7.62 % (29644)Instructions burned: 1672 (million)
% 43.80/7.62 % (29644)------------------------------
% 43.80/7.62 % (29644)------------------------------
% 43.80/7.62 % (29780)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_29384 for (2939ds/578Mi)
% 43.80/7.63 % (29784)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_29384 for (2939ds/643Mi)
% 43.80/7.68 % (29687)Instruction limit reached!
% 43.80/7.68 % (29687)------------------------------
% 43.80/7.68 % (29687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.80/7.68 % (29687)Termination reason: Unknown
% 43.80/7.68 % (29687)Termination phase: Saturation
% 43.80/7.68
% 43.80/7.68 % (29687)Memory used [KB]: 7547
% 43.80/7.68 % (29687)Time elapsed: 0.260 s
% 43.80/7.68 % (29687)Instructions burned: 867 (million)
% 43.80/7.68 % (29687)------------------------------
% 43.80/7.68 % (29687)------------------------------
% 43.80/7.69 % (29810)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_29384 for (2938ds/865Mi)
% 44.64/7.76 % (29780)Instruction limit reached!
% 44.64/7.76 % (29780)------------------------------
% 44.64/7.76 % (29780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.64/7.76 % (29780)Termination reason: Unknown
% 44.64/7.76 % (29780)Termination phase: Saturation
% 44.64/7.76
% 44.64/7.76 % (29780)Memory used [KB]: 7547
% 44.64/7.76 % (29780)Time elapsed: 0.139 s
% 44.64/7.76 % (29780)Instructions burned: 578 (million)
% 44.64/7.76 % (29780)------------------------------
% 44.64/7.76 % (29780)------------------------------
% 44.64/7.76 % (29604)Instruction limit reached!
% 44.64/7.76 % (29604)------------------------------
% 44.64/7.76 % (29604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.64/7.76 % (29604)Termination reason: Unknown
% 44.64/7.76 % (29604)Termination phase: Saturation
% 44.64/7.76
% 44.64/7.76 % (29604)Memory used [KB]: 24690
% 44.64/7.76 % (29604)Time elapsed: 3.482 s
% 44.64/7.76 % (29604)Instructions burned: 8252 (million)
% 44.64/7.76 % (29604)------------------------------
% 44.64/7.76 % (29604)------------------------------
% 44.64/7.77 % (29839)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_29384 for (2937ds/1174Mi)
% 44.64/7.77 % (29840)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_29384 for (2937ds/644Mi)
% 44.64/7.78 % (29784)Instruction limit reached!
% 44.64/7.78 % (29784)------------------------------
% 44.64/7.78 % (29784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.64/7.78 % (29784)Termination reason: Unknown
% 44.64/7.78 % (29784)Termination phase: Saturation
% 44.64/7.78
% 44.64/7.78 % (29784)Memory used [KB]: 7931
% 44.64/7.78 % (29784)Time elapsed: 0.156 s
% 44.64/7.78 % (29784)Instructions burned: 646 (million)
% 44.64/7.78 % (29784)------------------------------
% 44.64/7.78 % (29784)------------------------------
% 44.64/7.79 % (29846)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_29384 for (2937ds/1201Mi)
% 45.04/7.82 % (29734)Instruction limit reached!
% 45.04/7.82 % (29734)------------------------------
% 45.04/7.82 % (29734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.04/7.82 % (29734)Termination reason: Unknown
% 45.04/7.82 % (29734)Termination phase: Saturation
% 45.04/7.82
% 45.04/7.82 % (29734)Memory used [KB]: 8443
% 45.04/7.82 % (29734)Time elapsed: 0.288 s
% 45.04/7.82 % (29734)Instructions burned: 1001 (million)
% 45.04/7.82 % (29734)------------------------------
% 45.04/7.82 % (29734)------------------------------
% 45.04/7.83 % (29859)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_29384 for (2937ds/1046Mi)
% 45.04/7.88 % (29764)Instruction limit reached!
% 45.04/7.88 % (29764)------------------------------
% 45.04/7.88 % (29764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.04/7.88 % (29764)Termination reason: Unknown
% 45.04/7.88 % (29764)Termination phase: Saturation
% 45.04/7.88
% 45.04/7.88 % (29764)Memory used [KB]: 8443
% 45.04/7.88 % (29764)Time elapsed: 0.294 s
% 45.04/7.88 % (29764)Instructions burned: 952 (million)
% 45.04/7.88 % (29764)------------------------------
% 45.04/7.88 % (29764)------------------------------
% 45.04/7.89 % (29891)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_29384 for (2936ds/222Mi)
% 45.65/7.92 % (29810)Instruction limit reached!
% 45.65/7.92 % (29810)------------------------------
% 45.65/7.92 % (29810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.65/7.92 % (29810)Termination reason: Unknown
% 45.65/7.92 % (29810)Termination phase: Saturation
% 45.65/7.92
% 45.65/7.92 % (29810)Memory used [KB]: 6524
% 45.65/7.92 % (29810)Time elapsed: 0.238 s
% 45.65/7.92 % (29810)Instructions burned: 868 (million)
% 45.65/7.92 % (29810)------------------------------
% 45.65/7.92 % (29810)------------------------------
% 45.65/7.93 % (29892)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_29384 for (2936ds/68Mi)
% 45.65/7.94 % (29891)Instruction limit reached!
% 45.65/7.94 % (29891)------------------------------
% 45.65/7.94 % (29891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.65/7.94 % (29891)Termination reason: Unknown
% 45.65/7.94 % (29891)Termination phase: Saturation
% 45.65/7.94
% 45.65/7.94 % (29891)Memory used [KB]: 6268
% 45.65/7.94 % (29891)Time elapsed: 0.055 s
% 45.65/7.94 % (29891)Instructions burned: 222 (million)
% 45.65/7.94 % (29891)------------------------------
% 45.65/7.94 % (29891)------------------------------
% 45.65/7.95 % (29893)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_29384 for (2936ds/454Mi)
% 45.65/7.95 % (29892)Instruction limit reached!
% 45.65/7.95 % (29892)------------------------------
% 45.65/7.95 % (29892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.65/7.95 % (29892)Termination reason: Unknown
% 45.65/7.95 % (29892)Termination phase: Saturation
% 45.65/7.95
% 45.65/7.95 % (29892)Memory used [KB]: 6268
% 45.65/7.95 % (29892)Time elapsed: 0.020 s
% 45.65/7.95 % (29892)Instructions burned: 71 (million)
% 45.65/7.95 % (29892)------------------------------
% 45.65/7.95 % (29892)------------------------------
% 45.65/7.96 % (29894)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_29384 for (2936ds/360Mi)
% 45.65/7.97 % (29840)Instruction limit reached!
% 45.65/7.97 % (29840)------------------------------
% 45.65/7.97 % (29840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.65/7.97 % (29840)Termination reason: Unknown
% 45.65/7.97 % (29840)Termination phase: Saturation
% 45.65/7.97
% 45.65/7.97 % (29840)Memory used [KB]: 6780
% 45.65/7.97 % (29840)Time elapsed: 0.199 s
% 45.65/7.97 % (29840)Instructions burned: 645 (million)
% 45.65/7.97 % (29840)------------------------------
% 45.65/7.97 % (29840)------------------------------
% 45.65/7.98 % (29895)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_29384 for (2935ds/157Mi)
% 45.65/8.02 % (29895)Instruction limit reached!
% 45.65/8.02 % (29895)------------------------------
% 45.65/8.02 % (29895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.65/8.02 % (29895)Termination reason: Unknown
% 45.65/8.02 % (29895)Termination phase: Saturation
% 45.65/8.02
% 45.65/8.02 % (29895)Memory used [KB]: 6268
% 45.65/8.02 % (29895)Time elapsed: 0.039 s
% 45.65/8.02 % (29895)Instructions burned: 157 (million)
% 45.65/8.02 % (29895)------------------------------
% 45.65/8.02 % (29895)------------------------------
% 47.72/8.03 % (29896)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_29384 for (2935ds/5061Mi)
% 47.72/8.05 % (29894)Instruction limit reached!
% 47.72/8.05 % (29894)------------------------------
% 47.72/8.05 % (29894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.72/8.05 % (29894)Termination reason: Unknown
% 47.72/8.05 % (29894)Termination phase: Saturation
% 47.72/8.05
% 47.72/8.05 % (29894)Memory used [KB]: 6396
% 47.72/8.05 % (29894)Time elapsed: 0.086 s
% 47.72/8.05 % (29894)Instructions burned: 363 (million)
% 47.72/8.05 % (29894)------------------------------
% 47.72/8.05 % (29894)------------------------------
% 47.72/8.06 % (29897)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_29384 for (2935ds/2401Mi)
% 47.72/8.07 % (29893)Instruction limit reached!
% 47.72/8.07 % (29893)------------------------------
% 47.72/8.07 % (29893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.72/8.07 % (29893)Termination reason: Unknown
% 47.72/8.07 % (29893)Termination phase: Saturation
% 47.72/8.07
% 47.72/8.07 % (29893)Memory used [KB]: 12409
% 47.72/8.07 % (29893)Time elapsed: 0.115 s
% 47.72/8.07 % (29893)Instructions burned: 457 (million)
% 47.72/8.07 % (29893)------------------------------
% 47.72/8.07 % (29893)------------------------------
% 47.72/8.08 % (29898)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_29384 for (2934ds/5798Mi)
% 47.72/8.09 % (29859)Instruction limit reached!
% 47.72/8.09 % (29859)------------------------------
% 47.72/8.09 % (29859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.72/8.09 % (29859)Termination reason: Unknown
% 47.72/8.09 % (29859)Termination phase: Saturation
% 47.72/8.09
% 47.72/8.09 % (29859)Memory used [KB]: 6908
% 47.72/8.09 % (29859)Time elapsed: 0.265 s
% 47.72/8.09 % (29859)Instructions burned: 1047 (million)
% 47.72/8.09 % (29859)------------------------------
% 47.72/8.09 % (29859)------------------------------
% 47.72/8.10 % (29899)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_29384 for (2934ds/346Mi)
% 48.18/8.13 % (29839)Refutation not found, non-redundant clauses discarded% (29839)------------------------------
% 48.18/8.13 % (29839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.18/8.13 % (29839)Termination reason: Refutation not found, non-redundant clauses discarded
% 48.18/8.13
% 48.18/8.13 % (29839)Memory used [KB]: 8059
% 48.18/8.13 % (29839)Time elapsed: 0.362 s
% 48.18/8.13 % (29839)Instructions burned: 1152 (million)
% 48.18/8.13 % (29839)------------------------------
% 48.18/8.13 % (29839)------------------------------
% 48.18/8.14 % (29900)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_29384 for (2934ds/1321Mi)
% 48.18/8.16 % (29846)Instruction limit reached!
% 48.18/8.16 % (29846)------------------------------
% 48.18/8.16 % (29846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.18/8.16 % (29846)Termination reason: Unknown
% 48.18/8.16 % (29846)Termination phase: Saturation
% 48.18/8.16
% 48.18/8.16 % (29846)Memory used [KB]: 9210
% 48.18/8.16 % (29846)Time elapsed: 0.368 s
% 48.18/8.16 % (29846)Instructions burned: 1201 (million)
% 48.18/8.16 % (29846)------------------------------
% 48.18/8.16 % (29846)------------------------------
% 48.18/8.17 % (29901)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_29384 for (2933ds/1312Mi)
% 48.18/8.19 % (29899)Instruction limit reached!
% 48.18/8.19 % (29899)------------------------------
% 48.18/8.19 % (29899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.18/8.19 % (29899)Termination reason: Unknown
% 48.18/8.19 % (29899)Termination phase: Saturation
% 48.18/8.19
% 48.18/8.19 % (29899)Memory used [KB]: 7931
% 48.18/8.19 % (29899)Time elapsed: 0.086 s
% 48.18/8.19 % (29899)Instructions burned: 347 (million)
% 48.18/8.19 % (29899)------------------------------
% 48.18/8.19 % (29899)------------------------------
% 48.41/8.20 % (29902)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_29384 for (2933ds/672Mi)
% 48.61/8.40 % (29902)Instruction limit reached!
% 48.61/8.40 % (29902)------------------------------
% 48.61/8.40 % (29902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.61/8.40 % (29902)Termination reason: Unknown
% 48.61/8.40 % (29902)Termination phase: Saturation
% 48.61/8.40
% 48.61/8.40 % (29902)Memory used [KB]: 9210
% 48.61/8.40 % (29902)Time elapsed: 0.208 s
% 48.61/8.40 % (29902)Instructions burned: 673 (million)
% 48.61/8.40 % (29902)------------------------------
% 48.61/8.40 % (29902)------------------------------
% 48.61/8.41 % (29903)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_29384 for (2931ds/1897Mi)
% 48.93/8.52 % (29901)Instruction limit reached!
% 48.93/8.52 % (29901)------------------------------
% 48.93/8.52 % (29901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.93/8.52 % (29901)Termination reason: Unknown
% 48.93/8.52 % (29901)Termination phase: Saturation
% 48.93/8.52
% 48.93/8.52 % (29901)Memory used [KB]: 8443
% 48.93/8.52 % (29901)Time elapsed: 0.346 s
% 48.93/8.52 % (29901)Instructions burned: 1315 (million)
% 48.93/8.52 % (29901)------------------------------
% 48.93/8.52 % (29901)------------------------------
% 48.93/8.53 % (29904)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_29384 for (2930ds/1202Mi)
% 48.93/8.54 % (29900)Instruction limit reached!
% 48.93/8.54 % (29900)------------------------------
% 48.93/8.54 % (29900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.93/8.54 % (29900)Termination reason: Unknown
% 48.93/8.54 % (29900)Termination phase: Saturation
% 48.93/8.54
% 48.93/8.54 % (29900)Memory used [KB]: 5628
% 48.93/8.54 % (29900)Time elapsed: 0.403 s
% 48.93/8.54 % (29900)Instructions burned: 1323 (million)
% 48.93/8.54 % (29900)------------------------------
% 48.93/8.54 % (29900)------------------------------
% 48.93/8.55 % (29905)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_29384 for (2930ds/1493Mi)
% 49.90/8.79 % (29897)Instruction limit reached!
% 49.90/8.79 % (29897)------------------------------
% 49.90/8.79 % (29897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.90/8.79 % (29897)Termination reason: Unknown
% 49.90/8.79 % (29897)Termination phase: Saturation
% 49.90/8.79
% 49.90/8.79 % (29897)Memory used [KB]: 6780
% 49.90/8.79 % (29897)Time elapsed: 0.730 s
% 49.90/8.79 % (29897)Instructions burned: 2401 (million)
% 49.90/8.79 % (29897)------------------------------
% 49.90/8.79 % (29897)------------------------------
% 49.90/8.80 % (29906)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_29384 for (2927ds/7679Mi)
% 50.74/8.89 % (29904)Instruction limit reached!
% 50.74/8.89 % (29904)------------------------------
% 50.74/8.89 % (29904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.74/8.89 % (29904)Termination reason: Unknown
% 50.74/8.89 % (29904)Termination phase: Saturation
% 50.74/8.89
% 50.74/8.89 % (29904)Memory used [KB]: 6012
% 50.74/8.89 % (29904)Time elapsed: 0.361 s
% 50.74/8.89 % (29904)Instructions burned: 1203 (million)
% 50.74/8.89 % (29904)------------------------------
% 50.74/8.89 % (29904)------------------------------
% 50.74/8.90 % (29907)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_29384 for (2926ds/340Mi)
% 51.22/8.95 % (29905)Instruction limit reached!
% 51.22/8.95 % (29905)------------------------------
% 51.22/8.95 % (29905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.22/8.95 % (29905)Termination reason: Unknown
% 51.22/8.95 % (29905)Termination phase: Saturation
% 51.22/8.95
% 51.22/8.95 % (29905)Memory used [KB]: 7547
% 51.22/8.95 % (29905)Time elapsed: 0.402 s
% 51.22/8.95 % (29905)Instructions burned: 1495 (million)
% 51.22/8.95 % (29905)------------------------------
% 51.22/8.95 % (29905)------------------------------
% 51.22/8.96 % (29908)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_29384 for (2926ds/3672Mi)
% 51.22/9.00 % (29907)Instruction limit reached!
% 51.22/9.00 % (29907)------------------------------
% 51.22/9.00 % (29907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.22/9.00 % (29907)Termination reason: Unknown
% 51.22/9.00 % (29907)Termination phase: Saturation
% 51.22/9.00
% 51.22/9.00 % (29907)Memory used [KB]: 8443
% 51.22/9.00 % (29907)Time elapsed: 0.110 s
% 51.22/9.00 % (29907)Instructions burned: 340 (million)
% 51.22/9.00 % (29907)------------------------------
% 51.22/9.00 % (29907)------------------------------
% 51.22/9.01 % (29903)Instruction limit reached!
% 51.22/9.01 % (29903)------------------------------
% 51.22/9.01 % (29903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.22/9.01 % (29903)Termination reason: Unknown
% 51.22/9.01 % (29903)Termination phase: Saturation
% 51.22/9.01
% 51.22/9.01 % (29903)Memory used [KB]: 11385
% 51.22/9.01 % (29903)Time elapsed: 0.598 s
% 51.22/9.01 % (29903)Instructions burned: 1898 (million)
% 51.22/9.01 % (29903)------------------------------
% 51.22/9.01 % (29903)------------------------------
% 51.22/9.01 % (29909)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_29384 for (2925ds/1535Mi)
% 51.22/9.02 % (29910)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_29384 for (2925ds/4637Mi)
% 56.09/9.37 % (29909)Instruction limit reached!
% 56.09/9.37 % (29909)------------------------------
% 56.09/9.37 % (29909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.09/9.37 % (29909)Termination reason: Unknown
% 56.09/9.37 % (29909)Termination phase: Saturation
% 56.09/9.37
% 56.09/9.37 % (29909)Memory used [KB]: 9466
% 56.09/9.37 % (29909)Time elapsed: 0.379 s
% 56.09/9.37 % (29909)Instructions burned: 1536 (million)
% 56.09/9.37 % (29909)------------------------------
% 56.09/9.37 % (29909)------------------------------
% 56.09/9.38 % (29662)Instruction limit reached!
% 56.09/9.38 % (29662)------------------------------
% 56.09/9.38 % (29662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.09/9.38 % (29662)Termination reason: Unknown
% 56.09/9.38 % (29662)Termination phase: Saturation
% 56.09/9.38
% 56.09/9.38 % (29662)Memory used [KB]: 11641
% 56.09/9.38 % (29662)Time elapsed: 2.006 s
% 56.09/9.38 % (29662)Instructions burned: 6456 (million)
% 56.09/9.38 % (29662)------------------------------
% 56.09/9.38 % (29662)------------------------------
% 56.09/9.38 % (29911)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_29384 for (2921ds/3174Mi)
% 56.09/9.39 % (29912)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_29384 for (2921ds/307Mi)
% 56.95/9.47 % (29912)Instruction limit reached!
% 56.95/9.47 % (29912)------------------------------
% 56.95/9.47 % (29912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.95/9.47 % (29912)Termination reason: Unknown
% 56.95/9.47 % (29912)Termination phase: Saturation
% 56.95/9.47
% 56.95/9.47 % (29912)Memory used [KB]: 6268
% 56.95/9.47 % (29912)Time elapsed: 0.079 s
% 56.95/9.47 % (29912)Instructions burned: 309 (million)
% 56.95/9.47 % (29912)------------------------------
% 56.95/9.47 % (29912)------------------------------
% 56.95/9.47 % (29913)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_29384 for (2920ds/3619Mi)
% 57.44/9.50 % (29896)Instruction limit reached!
% 57.44/9.50 % (29896)------------------------------
% 57.44/9.50 % (29896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.44/9.50 % (29896)Termination reason: Unknown
% 57.44/9.50 % (29896)Termination phase: Saturation
% 57.44/9.50
% 57.44/9.50 % (29896)Memory used [KB]: 8571
% 57.44/9.50 % (29896)Time elapsed: 1.472 s
% 57.44/9.50 % (29896)Instructions burned: 5062 (million)
% 57.44/9.50 % (29896)------------------------------
% 57.44/9.50 % (29896)------------------------------
% 57.44/9.51 % (29914)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_29384 for (2920ds/2325Mi)
% 58.36/9.84 % (29898)Instruction limit reached!
% 58.36/9.84 % (29898)------------------------------
% 58.36/9.84 % (29898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.36/9.84 % (29898)Termination reason: Unknown
% 58.36/9.84 % (29898)Termination phase: Saturation
% 58.36/9.84
% 58.36/9.84 % (29898)Memory used [KB]: 12153
% 58.36/9.84 % (29898)Time elapsed: 1.766 s
% 58.36/9.84 % (29898)Instructions burned: 5799 (million)
% 58.36/9.84 % (29898)------------------------------
% 58.36/9.84 % (29898)------------------------------
% 58.36/9.85 % (29915)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_29384 for (2917ds/2341Mi)
% 61.75/10.10 % (29908)Instruction limit reached!
% 61.75/10.10 % (29908)------------------------------
% 61.75/10.10 % (29908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 61.75/10.10 % (29908)Termination reason: Unknown
% 61.75/10.10 % (29908)Termination phase: Saturation
% 61.75/10.10
% 61.75/10.10 % (29908)Memory used [KB]: 10746
% 61.75/10.10 % (29908)Time elapsed: 1.143 s
% 61.75/10.10 % (29908)Instructions burned: 3674 (million)
% 61.75/10.10 % (29908)------------------------------
% 61.75/10.10 % (29908)------------------------------
% 61.75/10.11 % (29916)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_29384 for (2914ds/7257Mi)
% 62.87/10.21 % (29914)Instruction limit reached!
% 62.87/10.21 % (29914)------------------------------
% 62.87/10.21 % (29914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.87/10.21 % (29914)Termination reason: Unknown
% 62.87/10.21 % (29914)Termination phase: Saturation
% 62.87/10.21
% 62.87/10.21 % (29914)Memory used [KB]: 14967
% 62.87/10.21 % (29914)Time elapsed: 0.705 s
% 62.87/10.21 % (29914)Instructions burned: 2327 (million)
% 62.87/10.21 % (29914)------------------------------
% 62.87/10.21 % (29914)------------------------------
% 62.87/10.22 % (29917)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_29384 for (2913ds/3710Mi)
% 63.40/10.33 % (29911)Instruction limit reached!
% 63.40/10.33 % (29911)------------------------------
% 63.40/10.33 % (29911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.40/10.33 % (29911)Termination reason: Unknown
% 63.40/10.33 % (29911)Termination phase: Saturation
% 63.40/10.33
% 63.40/10.33 % (29911)Memory used [KB]: 16630
% 63.40/10.33 % (29911)Time elapsed: 0.947 s
% 63.40/10.33 % (29911)Instructions burned: 3177 (million)
% 63.40/10.33 % (29911)------------------------------
% 63.40/10.33 % (29911)------------------------------
% 63.40/10.34 % (29918)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_29384 for (2912ds/326Mi)
% 63.85/10.44 % (29918)Instruction limit reached!
% 63.85/10.44 % (29918)------------------------------
% 63.85/10.44 % (29918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.85/10.44 % (29918)Termination reason: Unknown
% 63.85/10.44 % (29918)Termination phase: Saturation
% 63.85/10.44
% 63.85/10.44 % (29918)Memory used [KB]: 7036
% 63.85/10.44 % (29918)Time elapsed: 0.100 s
% 63.85/10.44 % (29918)Instructions burned: 327 (million)
% 63.85/10.44 % (29918)------------------------------
% 63.85/10.44 % (29918)------------------------------
% 63.85/10.45 % (29919)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_29384 for (2911ds/1100Mi)
% 63.85/10.48 % (29910)Instruction limit reached!
% 63.85/10.48 % (29910)------------------------------
% 63.85/10.48 % (29910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.85/10.48 % (29910)Termination reason: Unknown
% 63.85/10.48 % (29910)Termination phase: Saturation
% 63.85/10.48
% 63.85/10.48 % (29910)Memory used [KB]: 9466
% 63.85/10.48 % (29910)Time elapsed: 1.460 s
% 63.85/10.48 % (29910)Instructions burned: 4638 (million)
% 63.85/10.48 % (29910)------------------------------
% 63.85/10.48 % (29910)------------------------------
% 63.85/10.49 % (29920)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_29384 for (2910ds/406Mi)
% 64.34/10.54 % (29920)Refutation not found, incomplete strategy
% 64.34/10.54 % (29920)------------------------------
% 64.34/10.54 % (29920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.34/10.54 % (29920)Termination reason: Refutation not found, incomplete strategy
% 64.34/10.54
% 64.34/10.54
% 64.34/10.54 % (29920)Memory used [KB]: 6396
% 64.34/10.54 % (29920)Time elapsed: 0.051 s
% 64.34/10.54 % (29920)Instructions burned: 182 (million)
% 64.34/10.54 % (29920)------------------------------
% 64.34/10.54 % (29920)------------------------------
% 64.34/10.55 % (29921)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_29384 for (2910ds/1871Mi)
% 64.34/10.56 % (29913)Instruction limit reached!
% 64.34/10.56 % (29913)------------------------------
% 64.34/10.56 % (29913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.34/10.56 % (29913)Termination reason: Unknown
% 64.34/10.56 % (29913)Termination phase: Saturation
% 64.34/10.56
% 64.34/10.56 % (29913)Memory used [KB]: 19445
% 64.34/10.56 % (29913)Time elapsed: 1.090 s
% 64.34/10.56 % (29913)Instructions burned: 3619 (million)
% 64.34/10.56 % (29913)------------------------------
% 64.34/10.56 % (29913)------------------------------
% 64.34/10.57 % (29922)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_29384 for (2909ds/1194Mi)
% 64.34/10.58 % (29915)Instruction limit reached!
% 64.34/10.58 % (29915)------------------------------
% 64.34/10.58 % (29915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.34/10.58 % (29915)Termination reason: Unknown
% 64.34/10.58 % (29915)Termination phase: Saturation
% 64.34/10.58
% 64.34/10.58 % (29915)Memory used [KB]: 9083
% 64.34/10.58 % (29915)Time elapsed: 0.731 s
% 64.34/10.58 % (29915)Instructions burned: 2341 (million)
% 64.34/10.58 % (29915)------------------------------
% 64.34/10.58 % (29915)------------------------------
% 64.34/10.59 % (29923)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_29384 for (2909ds/474Mi)
% 64.79/10.70 % (29923)Instruction limit reached!
% 64.79/10.70 % (29923)------------------------------
% 64.79/10.70 % (29923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.79/10.70 % (29923)Termination reason: Unknown
% 64.79/10.70 % (29923)Termination phase: Saturation
% 64.79/10.70
% 64.79/10.70 % (29923)Memory used [KB]: 7931
% 64.79/10.70 % (29923)Time elapsed: 0.114 s
% 64.79/10.70 % (29923)Instructions burned: 477 (million)
% 64.79/10.70 % (29923)------------------------------
% 64.79/10.70 % (29923)------------------------------
% 64.79/10.71 % (29924)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_29384 for (2908ds/3115Mi)
% 64.79/10.79 % (29919)Instruction limit reached!
% 64.79/10.79 % (29919)------------------------------
% 64.79/10.79 % (29919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.79/10.79 % (29919)Termination reason: Unknown
% 64.79/10.79 % (29919)Termination phase: Saturation
% 64.79/10.79
% 64.79/10.79 % (29919)Memory used [KB]: 10362
% 64.79/10.79 % (29919)Time elapsed: 0.348 s
% 64.79/10.79 % (29919)Instructions burned: 1102 (million)
% 64.79/10.79 % (29919)------------------------------
% 64.79/10.79 % (29919)------------------------------
% 65.38/10.80 % (29925)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_29384 for (2907ds/831Mi)
% 65.48/10.94 % (29922)Instruction limit reached!
% 65.48/10.94 % (29922)------------------------------
% 65.48/10.94 % (29922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.48/10.94 % (29922)Termination reason: Unknown
% 65.48/10.94 % (29922)Termination phase: Saturation
% 65.48/10.94
% 65.48/10.94 % (29922)Memory used [KB]: 9722
% 65.48/10.94 % (29922)Time elapsed: 0.370 s
% 65.48/10.94 % (29922)Instructions burned: 1194 (million)
% 65.48/10.94 % (29922)------------------------------
% 65.48/10.94 % (29922)------------------------------
% 65.48/10.95 % (29926)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_29384 for (2906ds/1188Mi)
% 68.75/11.07 % (29925)Instruction limit reached!
% 68.75/11.07 % (29925)------------------------------
% 68.75/11.07 % (29925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.75/11.07 % (29925)Termination reason: Unknown
% 68.75/11.07 % (29925)Termination phase: Saturation
% 68.75/11.07
% 68.75/11.07 % (29925)Memory used [KB]: 7675
% 68.75/11.07 % (29925)Time elapsed: 0.286 s
% 68.75/11.07 % (29925)Instructions burned: 831 (million)
% 68.75/11.07 % (29925)------------------------------
% 68.75/11.07 % (29925)------------------------------
% 68.75/11.08 % (29927)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_29384 for (2904ds/2868Mi)
% 68.75/11.10 % (29906)Instruction limit reached!
% 68.75/11.10 % (29906)------------------------------
% 68.75/11.10 % (29906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 68.75/11.10 % (29906)Termination reason: Unknown
% 68.75/11.10 % (29906)Termination phase: Saturation
% 68.75/11.10
% 68.75/11.10 % (29906)Memory used [KB]: 14456
% 68.75/11.10 % (29906)Time elapsed: 2.301 s
% 68.75/11.10 % (29906)Instructions burned: 7680 (million)
% 68.75/11.10 % (29906)------------------------------
% 68.75/11.10 % (29906)------------------------------
% 68.75/11.11 % (29928)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_29384 for (2904ds/1516Mi)
% 69.40/11.13 % (29921)Instruction limit reached!
% 69.40/11.13 % (29921)------------------------------
% 69.40/11.13 % (29921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.40/11.13 % (29921)Termination reason: Unknown
% 69.40/11.13 % (29921)Termination phase: Saturation
% 69.40/11.13
% 69.40/11.13 % (29921)Memory used [KB]: 13944
% 69.40/11.13 % (29921)Time elapsed: 0.581 s
% 69.40/11.13 % (29921)Instructions burned: 1871 (million)
% 69.40/11.13 % (29921)------------------------------
% 69.40/11.13 % (29921)------------------------------
% 69.40/11.14 % (29929)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_29384 for (2904ds/2321Mi)
% 69.40/11.17 % (29917)Instruction limit reached!
% 69.40/11.17 % (29917)------------------------------
% 69.40/11.17 % (29917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.40/11.17 % (29917)Termination reason: Unknown
% 69.40/11.17 % (29917)Termination phase: Saturation
% 69.40/11.17
% 69.40/11.17 % (29917)Memory used [KB]: 9210
% 69.40/11.17 % (29917)Time elapsed: 0.954 s
% 69.40/11.17 % (29917)Instructions burned: 3711 (million)
% 69.40/11.17 % (29917)------------------------------
% 69.40/11.17 % (29917)------------------------------
% 69.40/11.18 % (29930)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_29384 for (2903ds/2812Mi)
% 69.71/11.25 % (29926)Instruction limit reached!
% 69.71/11.25 % (29926)------------------------------
% 69.71/11.25 % (29926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.71/11.25 % (29926)Termination reason: Unknown
% 69.71/11.25 % (29926)Termination phase: Saturation
% 69.71/11.25
% 69.71/11.25 % (29926)Memory used [KB]: 8571
% 69.71/11.25 % (29926)Time elapsed: 0.318 s
% 69.71/11.25 % (29926)Instructions burned: 1188 (million)
% 69.71/11.25 % (29926)------------------------------
% 69.71/11.25 % (29926)------------------------------
% 69.71/11.26 % (29931)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_29384 for (2902ds/4604Mi)
% 70.16/11.44 % (29924)Instruction limit reached!
% 70.16/11.44 % (29924)------------------------------
% 70.16/11.44 % (29924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.16/11.44 % (29924)Termination reason: Unknown
% 70.16/11.44 % (29924)Termination phase: Saturation
% 70.16/11.44
% 70.16/11.44 % (29924)Memory used [KB]: 8059
% 70.16/11.44 % (29924)Time elapsed: 0.752 s
% 70.16/11.44 % (29924)Instructions burned: 3115 (million)
% 70.16/11.44 % (29924)------------------------------
% 70.16/11.44 % (29924)------------------------------
% 70.16/11.45 % (29932)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_29384 for (2901ds/2678Mi)
% 70.33/11.58 % (29928)Instruction limit reached!
% 70.33/11.58 % (29928)------------------------------
% 70.33/11.58 % (29928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.33/11.58 % (29928)Termination reason: Unknown
% 70.33/11.58 % (29928)Termination phase: Saturation
% 70.33/11.58
% 70.33/11.58 % (29928)Memory used [KB]: 10234
% 70.33/11.58 % (29928)Time elapsed: 0.470 s
% 70.33/11.58 % (29928)Instructions burned: 1518 (million)
% 70.33/11.58 % (29928)------------------------------
% 70.33/11.58 % (29928)------------------------------
% 70.33/11.59 % (29933)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_29384 for (2899ds/643Mi)
% 71.01/11.73 % (29929)Instruction limit reached!
% 71.01/11.73 % (29929)------------------------------
% 71.01/11.73 % (29929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.01/11.73 % (29929)Termination reason: Unknown
% 71.01/11.73 % (29929)Termination phase: Saturation
% 71.01/11.73
% 71.01/11.73 % (29929)Memory used [KB]: 8827
% 71.01/11.73 % (29929)Time elapsed: 0.587 s
% 71.01/11.73 % (29929)Instructions burned: 2321 (million)
% 71.01/11.73 % (29929)------------------------------
% 71.01/11.73 % (29929)------------------------------
% 71.01/11.74 % (29934)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_29384 for (2898ds/458Mi)
% 71.01/11.74 % (29933)Instruction limit reached!
% 71.01/11.74 % (29933)------------------------------
% 71.01/11.74 % (29933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.01/11.74 % (29933)Termination reason: Unknown
% 71.01/11.74 % (29933)Termination phase: Saturation
% 71.01/11.74
% 71.01/11.74 % (29933)Memory used [KB]: 7931
% 71.01/11.74 % (29933)Time elapsed: 0.154 s
% 71.01/11.74 % (29933)Instructions burned: 643 (million)
% 71.01/11.74 % (29933)------------------------------
% 71.01/11.74 % (29933)------------------------------
% 71.01/11.75 % (29935)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_29384 for (2898ds/2546Mi)
% 71.01/11.76 % (29927)Instruction limit reached!
% 71.01/11.76 % (29927)------------------------------
% 71.01/11.76 % (29927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.01/11.76 % (29927)Termination reason: Unknown
% 71.01/11.76 % (29927)Termination phase: Saturation
% 71.01/11.76
% 71.01/11.76 % (29927)Memory used [KB]: 7164
% 71.01/11.76 % (29927)Time elapsed: 0.689 s
% 71.01/11.76 % (29927)Instructions burned: 2872 (million)
% 71.01/11.76 % (29927)------------------------------
% 71.01/11.76 % (29927)------------------------------
% 71.01/11.77 % (29936)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_29384 for (2897ds/1432Mi)
% 72.57/11.85 % (29934)Instruction limit reached!
% 72.57/11.85 % (29934)------------------------------
% 72.57/11.85 % (29934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.57/11.85 % (29934)Termination reason: Unknown
% 72.57/11.85 % (29934)Termination phase: Saturation
% 72.57/11.85
% 72.57/11.85 % (29934)Memory used [KB]: 7803
% 72.57/11.85 % (29934)Time elapsed: 0.114 s
% 72.57/11.85 % (29934)Instructions burned: 460 (million)
% 72.57/11.85 % (29934)------------------------------
% 72.57/11.85 % (29934)------------------------------
% 72.57/11.86 % (29937)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_29384 for (2897ds/386Mi)
% 72.80/11.95 % (29937)Instruction limit reached!
% 72.80/11.95 % (29937)------------------------------
% 72.80/11.95 % (29937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.80/11.95 % (29937)Termination reason: Unknown
% 72.80/11.95 % (29937)Termination phase: Saturation
% 72.80/11.95
% 72.80/11.95 % (29937)Memory used [KB]: 6524
% 72.80/11.95 % (29937)Time elapsed: 0.092 s
% 72.80/11.95 % (29937)Instructions burned: 389 (million)
% 72.80/11.95 % (29937)------------------------------
% 72.80/11.95 % (29937)------------------------------
% 72.80/11.96 % (29938)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_29384 for (2896ds/360Mi)
% 75.81/12.05 % (29938)Instruction limit reached!
% 75.81/12.05 % (29938)------------------------------
% 75.81/12.05 % (29938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 75.81/12.05 % (29938)Termination reason: Unknown
% 75.81/12.05 % (29938)Termination phase: Saturation
% 75.81/12.05
% 75.81/12.05 % (29938)Memory used [KB]: 6268
% 75.81/12.05 % (29938)Time elapsed: 0.087 s
% 75.81/12.05 % (29938)Instructions burned: 361 (million)
% 75.81/12.05 % (29938)------------------------------
% 75.81/12.05 % (29938)------------------------------
% 75.81/12.05 % (29939)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_29384 for (2895ds/5446Mi)
% 75.81/12.06 % (29930)Instruction limit reached!
% 75.81/12.06 % (29930)------------------------------
% 75.81/12.06 % (29930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 75.81/12.06 % (29930)Termination reason: Unknown
% 75.81/12.06 % (29930)Termination phase: Saturation
% 75.81/12.06
% 75.81/12.06 % (29930)Memory used [KB]: 9722
% 75.81/12.06 % (29930)Time elapsed: 0.880 s
% 75.81/12.06 % (29930)Instructions burned: 2813 (million)
% 75.81/12.06 % (29930)------------------------------
% 75.81/12.06 % (29930)------------------------------
% 75.81/12.07 % (29941)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_29384 for (2894ds/2573Mi)
% 75.81/12.10 % (29936)Instruction limit reached!
% 75.81/12.10 % (29936)------------------------------
% 75.81/12.10 % (29936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 75.81/12.10 % (29936)Termination reason: Unknown
% 75.81/12.10 % (29936)Termination phase: Saturation
% 75.81/12.10
% 75.81/12.10 % (29936)Memory used [KB]: 9722
% 75.81/12.10 % (29936)Time elapsed: 0.327 s
% 75.81/12.10 % (29936)Instructions burned: 1434 (million)
% 75.81/12.10 % (29936)------------------------------
% 75.81/12.10 % (29936)------------------------------
% 75.81/12.11 % (29942)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_29384 for (2894ds/2655Mi)
% 76.37/12.13 % (29932)Instruction limit reached!
% 76.37/12.13 % (29932)------------------------------
% 76.37/12.13 % (29932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.37/12.13 % (29932)Termination reason: Unknown
% 76.37/12.13 % (29932)Termination phase: Saturation
% 76.37/12.13
% 76.37/12.13 % (29932)Memory used [KB]: 9594
% 76.37/12.13 % (29932)Time elapsed: 0.679 s
% 76.37/12.13 % (29932)Instructions burned: 2678 (million)
% 76.37/12.13 % (29932)------------------------------
% 76.37/12.13 % (29932)------------------------------
% 76.37/12.14 % (29943)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_29384 for (2894ds/2781Mi)
% 76.91/12.35 % (29916)Instruction limit reached!
% 76.91/12.35 % (29916)------------------------------
% 76.91/12.35 % (29916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.91/12.35 % (29916)Termination reason: Unknown
% 76.91/12.35 % (29916)Termination phase: Saturation
% 76.91/12.35
% 76.91/12.35 % (29916)Memory used [KB]: 9338
% 76.91/12.35 % (29916)Time elapsed: 2.234 s
% 76.91/12.35 % (29916)Instructions burned: 7259 (million)
% 76.91/12.35 % (29916)------------------------------
% 76.91/12.35 % (29916)------------------------------
% 76.91/12.36 % (29944)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_29384 for (2891ds/307Mi)
% 77.17/12.43 % (29944)Instruction limit reached!
% 77.17/12.43 % (29944)------------------------------
% 77.17/12.43 % (29944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.17/12.43 % (29944)Termination reason: Unknown
% 77.17/12.43 % (29944)Termination phase: Saturation
% 77.17/12.43
% 77.17/12.43 % (29944)Memory used [KB]: 6268
% 77.17/12.43 % (29944)Time elapsed: 0.074 s
% 77.17/12.43 % (29944)Instructions burned: 309 (million)
% 77.17/12.43 % (29944)------------------------------
% 77.17/12.43 % (29944)------------------------------
% 77.17/12.44 % (29945)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_29384 for (2891ds/1548Mi)
% 77.45/12.52 % (29935)Instruction limit reached!
% 77.45/12.52 % (29935)------------------------------
% 77.45/12.52 % (29935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.45/12.52 % (29935)Termination reason: Unknown
% 77.45/12.52 % (29935)Termination phase: Saturation
% 77.45/12.52
% 77.45/12.52 % (29935)Memory used [KB]: 9594
% 77.45/12.52 % (29935)Time elapsed: 0.770 s
% 77.45/12.52 % (29935)Instructions burned: 2549 (million)
% 77.45/12.52 % (29935)------------------------------
% 77.45/12.52 % (29935)------------------------------
% 77.45/12.53 % (29946)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_29384 for (2890ds/5214Mi)
% 77.58/12.68 % (29931)Instruction limit reached!
% 77.58/12.68 % (29931)------------------------------
% 77.58/12.68 % (29931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.58/12.68 % (29931)Termination reason: Unknown
% 77.58/12.68 % (29931)Termination phase: Saturation
% 77.58/12.68
% 77.58/12.68 % (29931)Memory used [KB]: 12792
% 77.58/12.68 % (29931)Time elapsed: 1.421 s
% 77.58/12.68 % (29931)Instructions burned: 4604 (million)
% 77.58/12.68 % (29931)------------------------------
% 77.58/12.68 % (29931)------------------------------
% 77.58/12.69 % (29947)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_29384 for (2888ds/3201Mi)
% 77.68/12.72 % (29941)Instruction limit reached!
% 77.68/12.72 % (29941)------------------------------
% 77.68/12.72 % (29941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.68/12.72 % (29941)Termination reason: Unknown
% 77.68/12.72 % (29941)Termination phase: Saturation
% 77.68/12.72
% 77.68/12.72 % (29941)Memory used [KB]: 8699
% 77.68/12.72 % (29941)Time elapsed: 0.644 s
% 77.68/12.72 % (29941)Instructions burned: 2575 (million)
% 77.68/12.72 % (29941)------------------------------
% 77.68/12.72 % (29941)------------------------------
% 77.68/12.73 % (29948)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_29384 for (2888ds/454Mi)
% 77.68/12.78 % (29942)Instruction limit reached!
% 77.68/12.78 % (29942)------------------------------
% 77.68/12.78 % (29942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.68/12.78 % (29942)Termination reason: Unknown
% 77.68/12.78 % (29942)Termination phase: Saturation
% 77.68/12.78
% 77.68/12.78 % (29942)Memory used [KB]: 3837
% 77.68/12.78 % (29942)Time elapsed: 0.674 s
% 77.68/12.78 % (29942)Instructions burned: 2655 (million)
% 77.68/12.78 % (29942)------------------------------
% 77.68/12.78 % (29942)------------------------------
% 77.68/12.79 % (29949)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_29384 for (2887ds/3049Mi)
% 79.01/12.84 % (29948)Instruction limit reached!
% 79.01/12.84 % (29948)------------------------------
% 79.01/12.84 % (29948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.01/12.84 % (29948)Termination reason: Unknown
% 79.01/12.84 % (29948)Termination phase: Saturation
% 79.01/12.84
% 79.01/12.84 % (29948)Memory used [KB]: 12537
% 79.01/12.84 % (29948)Time elapsed: 0.115 s
% 79.01/12.84 % (29948)Instructions burned: 455 (million)
% 79.01/12.84 % (29948)------------------------------
% 79.01/12.84 % (29948)------------------------------
% 79.01/12.85 % (29950)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_29384 for (2887ds/7311Mi)
% 79.14/12.91 % (29945)Instruction limit reached!
% 79.14/12.91 % (29945)------------------------------
% 79.14/12.91 % (29945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.14/12.91 % (29945)Termination reason: Unknown
% 79.14/12.91 % (29945)Termination phase: Saturation
% 79.14/12.91
% 79.14/12.91 % (29945)Memory used [KB]: 8571
% 79.14/12.91 % (29945)Time elapsed: 0.471 s
% 79.14/12.91 % (29945)Instructions burned: 1550 (million)
% 79.14/12.91 % (29945)------------------------------
% 79.14/12.91 % (29945)------------------------------
% 79.14/12.92 % (29951)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_29384 for (2886ds/6804Mi)
% 79.14/13.00 % (29943)Instruction limit reached!
% 79.14/13.00 % (29943)------------------------------
% 79.14/13.00 % (29943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.14/13.00 % (29943)Termination reason: Unknown
% 79.14/13.00 % (29943)Termination phase: Saturation
% 79.14/13.00
% 79.14/13.00 % (29943)Memory used [KB]: 7036
% 79.14/13.00 % (29943)Time elapsed: 0.859 s
% 79.14/13.00 % (29943)Instructions burned: 2781 (million)
% 79.14/13.00 % (29943)------------------------------
% 79.14/13.00 % (29943)------------------------------
% 79.14/13.01 % (29952)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_29384 for (2885ds/1683Mi)
% 85.65/13.52 % (29952)Instruction limit reached!
% 85.65/13.52 % (29952)------------------------------
% 85.65/13.52 % (29952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.65/13.52 % (29952)Termination reason: Unknown
% 85.65/13.52 % (29952)Termination phase: Saturation
% 85.65/13.52
% 85.65/13.52 % (29952)Memory used [KB]: 14200
% 85.65/13.52 % (29952)Time elapsed: 0.507 s
% 85.65/13.52 % (29952)Instructions burned: 1684 (million)
% 85.65/13.52 % (29952)------------------------------
% 85.65/13.52 % (29952)------------------------------
% 85.65/13.53 % (29953)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_29384 for (2880ds/4688Mi)
% 86.78/13.61 % (29946)Instruction limit reached!
% 86.78/13.61 % (29946)------------------------------
% 86.78/13.61 % (29946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.78/13.61 % (29946)Termination reason: Unknown
% 86.78/13.61 % (29946)Termination phase: Saturation
% 86.78/13.61
% 86.78/13.61 % (29946)Memory used [KB]: 7164
% 86.78/13.61 % (29946)Time elapsed: 1.088 s
% 86.78/13.61 % (29946)Instructions burned: 5217 (million)
% 86.78/13.61 % (29946)------------------------------
% 86.78/13.61 % (29946)------------------------------
% 86.78/13.62 % (29954)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_29384 for (2879ds/2207Mi)
% 87.30/13.70 % (29947)Instruction limit reached!
% 87.30/13.70 % (29947)------------------------------
% 87.30/13.70 % (29947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.30/13.70 % (29947)Termination reason: Unknown
% 87.30/13.70 % (29947)Termination phase: Saturation
% 87.30/13.70
% 87.30/13.70 % (29947)Memory used [KB]: 10106
% 87.30/13.70 % (29947)Time elapsed: 1.014 s
% 87.30/13.70 % (29947)Instructions burned: 3203 (million)
% 87.30/13.70 % (29947)------------------------------
% 87.30/13.70 % (29947)------------------------------
% 87.30/13.71 % (29955)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=8216:si=on:rtra=on_0 on DTF2THF_29384 for (2878ds/8216Mi)
% 87.30/13.75 % (29949)Instruction limit reached!
% 87.30/13.75 % (29949)------------------------------
% 87.30/13.75 % (29949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.30/13.75 % (29949)Termination reason: Unknown
% 87.30/13.75 % (29949)Termination phase: Saturation
% 87.30/13.75
% 87.30/13.75 % (29949)Memory used [KB]: 9210
% 87.30/13.75 % (29949)Time elapsed: 0.962 s
% 87.30/13.75 % (29949)Instructions burned: 3050 (million)
% 87.30/13.75 % (29949)------------------------------
% 87.30/13.75 % (29949)------------------------------
% 87.30/13.76 % (29956)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_29384 for (2878ds/430Mi)
% 87.68/13.81 % (29939)Instruction limit reached!
% 87.68/13.81 % (29939)------------------------------
% 87.68/13.81 % (29939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.68/13.81 % (29939)Termination reason: Unknown
% 87.68/13.81 % (29939)Termination phase: Saturation
% 87.68/13.81
% 87.68/13.81 % (29939)Memory used [KB]: 13944
% 87.68/13.81 % (29939)Time elapsed: 1.782 s
% 87.68/13.81 % (29939)Instructions burned: 5448 (million)
% 87.68/13.81 % (29939)------------------------------
% 87.68/13.81 % (29939)------------------------------
% 87.68/13.82 % (29957)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_29384 for (2877ds/2012Mi)
% 87.68/13.87 % (29956)Instruction limit reached!
% 87.68/13.87 % (29956)------------------------------
% 87.68/13.87 % (29956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.68/13.87 % (29956)Termination reason: Unknown
% 87.68/13.87 % (29956)Termination phase: Saturation
% 87.68/13.87
% 87.68/13.87 % (29956)Memory used [KB]: 8315
% 87.68/13.87 % (29956)Time elapsed: 0.108 s
% 87.68/13.87 % (29956)Instructions burned: 431 (million)
% 87.68/13.87 % (29956)------------------------------
% 87.68/13.87 % (29956)------------------------------
% 87.68/13.88 % (29958)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_29384 for (2876ds/631Mi)
% 89.85/14.07 % (29958)Instruction limit reached!
% 89.85/14.07 % (29958)------------------------------
% 89.85/14.07 % (29958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 89.85/14.07 % (29958)Termination reason: Unknown
% 89.85/14.07 % (29958)Termination phase: Saturation
% 89.85/14.07
% 89.85/14.07 % (29958)Memory used [KB]: 6780
% 89.85/14.07 % (29958)Time elapsed: 0.191 s
% 89.85/14.07 % (29958)Instructions burned: 633 (million)
% 89.85/14.07 % (29958)------------------------------
% 89.85/14.07 % (29958)------------------------------
% 89.85/14.08 % (29959)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_29384 for (2874ds/8785Mi)
% 91.54/14.31 % (29954)Instruction limit reached!
% 91.54/14.31 % (29954)------------------------------
% 91.54/14.31 % (29954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.54/14.31 % (29954)Termination reason: Unknown
% 91.54/14.31 % (29954)Termination phase: Saturation
% 91.54/14.31
% 91.54/14.31 % (29954)Memory used [KB]: 9210
% 91.54/14.31 % (29954)Time elapsed: 0.687 s
% 91.54/14.31 % (29954)Instructions burned: 2209 (million)
% 91.54/14.31 % (29954)------------------------------
% 91.54/14.31 % (29954)------------------------------
% 91.54/14.32 % (29962)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_29384 for (2872ds/739Mi)
% 91.54/14.38 % (29957)Refutation not found, non-redundant clauses discarded% (29957)------------------------------
% 91.54/14.38 % (29957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.54/14.38 % (29957)Termination reason: Refutation not found, non-redundant clauses discarded
% 91.54/14.38
% 91.54/14.38 % (29957)Memory used [KB]: 15095
% 91.54/14.38 % (29957)Time elapsed: 0.562 s
% 91.54/14.38 % (29957)Instructions burned: 1996 (million)
% 91.54/14.38 % (29957)------------------------------
% 91.54/14.38 % (29957)------------------------------
% 91.54/14.39 % (29979)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_29384 for (2871ds/5473Mi)
% 92.46/14.55 % (29962)Instruction limit reached!
% 92.46/14.55 % (29962)------------------------------
% 92.46/14.55 % (29962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.46/14.55 % (29962)Termination reason: Unknown
% 92.46/14.55 % (29962)Termination phase: Saturation
% 92.46/14.55
% 92.46/14.55 % (29962)Memory used [KB]: 9466
% 92.46/14.55 % (29962)Time elapsed: 0.229 s
% 92.46/14.55 % (29962)Instructions burned: 740 (million)
% 92.46/14.55 % (29962)------------------------------
% 92.46/14.55 % (29962)------------------------------
% 92.46/14.56 % (30054)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_29384 for (2869ds/43570Mi)
% 94.29/14.91 % (29953)Instruction limit reached!
% 94.29/14.91 % (29953)------------------------------
% 94.29/14.91 % (29953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.29/14.91 % (29953)Termination reason: Unknown
% 94.29/14.91 % (29953)Termination phase: Saturation
% 94.29/14.91
% 94.29/14.91 % (29953)Memory used [KB]: 12920
% 94.29/14.91 % (29953)Time elapsed: 1.380 s
% 94.29/14.91 % (29953)Instructions burned: 4690 (million)
% 94.29/14.91 % (29953)------------------------------
% 94.29/14.91 % (29953)------------------------------
% 94.29/14.92 % (30193)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_29384 for (2866ds/8382Mi)
% 94.29/15.01 % (29951)Instruction limit reached!
% 94.29/15.01 % (29951)------------------------------
% 94.29/15.01 % (29951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.29/15.01 % (29951)Termination reason: Unknown
% 94.29/15.01 % (29951)Termination phase: Saturation
% 94.29/15.01
% 94.29/15.01 % (29951)Memory used [KB]: 16502
% 94.29/15.01 % (29951)Time elapsed: 2.091 s
% 94.29/15.01 % (29951)Instructions burned: 6806 (million)
% 94.29/15.01 % (29951)------------------------------
% 94.29/15.01 % (29951)------------------------------
% 94.29/15.02 % (30227)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_29384 for (2865ds/407Mi)
% 97.44/15.14 % (30227)Instruction limit reached!
% 97.44/15.14 % (30227)------------------------------
% 97.44/15.14 % (30227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 97.44/15.14 % (30227)Termination reason: Unknown
% 97.44/15.14 % (30227)Termination phase: Saturation
% 97.44/15.14
% 97.44/15.14 % (30227)Memory used [KB]: 7419
% 97.44/15.14 % (30227)Time elapsed: 0.125 s
% 97.44/15.14 % (30227)Instructions burned: 408 (million)
% 97.44/15.14 % (30227)------------------------------
% 97.44/15.14 % (30227)------------------------------
% 97.44/15.15 % (30310)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_29384 for (2864ds/2971Mi)
% 97.44/15.16 % (29950)Refutation not found, non-redundant clauses discarded% (29950)------------------------------
% 97.44/15.16 % (29950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 97.44/15.17 % (29950)Termination reason: Refutation not found, non-redundant clauses discarded
% 97.44/15.17
% 97.44/15.17 % (29950)Memory used [KB]: 17014
% 97.44/15.17 % (29950)Time elapsed: 2.316 s
% 97.44/15.17 % (29950)Instructions burned: 7270 (million)
% 97.44/15.17 % (29950)------------------------------
% 97.44/15.17 % (29950)------------------------------
% 97.44/15.18 % (30326)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_29384 for (2863ds/9822Mi)
% 98.02/15.25 % (29959)First to succeed.
% 98.02/15.25 % (29959)Refutation found. Thanks to Tanya!
% 98.02/15.25 % SZS status Theorem for DTF2THF_29384
% 98.02/15.25 % SZS output start Proof for DTF2THF_29384
% 98.02/15.25 thf(func_def_0, type, in: $i > $i > $o).
% 98.02/15.25 thf(func_def_1, type, exu: ($i > $o) > $o).
% 98.02/15.25 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 98.02/15.25 thf(func_def_8, type, powerset: $i > $i).
% 98.02/15.25 thf(func_def_10, type, setunion: $i > $i).
% 98.02/15.25 thf(func_def_19, type, descr: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_26, type, prop2set: $o > $i).
% 98.02/15.25 thf(func_def_36, type, nonempty: $i > $o).
% 98.02/15.25 thf(func_def_69, type, set2prop: $i > $o).
% 98.02/15.25 thf(func_def_88, type, subset: $i > $i > $o).
% 98.02/15.25 thf(func_def_89, type, disjoint: $i > $i > $o).
% 98.02/15.25 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 98.02/15.25 thf(func_def_114, type, binunion: $i > $i > $i).
% 98.02/15.25 thf(func_def_122, type, binintersect: $i > $i > $i).
% 98.02/15.25 thf(func_def_143, type, sP1: $i > $i > $o).
% 98.02/15.25 thf(func_def_145, type, sP3: $i > $i > $o > $o).
% 98.02/15.25 thf(func_def_146, type, sP4: $i > $i > $i > $o).
% 98.02/15.25 thf(func_def_150, type, sP8: $i > $i > $i > $o).
% 98.02/15.25 thf(func_def_151, type, sP9: $i > $i > $o).
% 98.02/15.25 thf(func_def_152, type, sP10: $i > $o).
% 98.02/15.25 thf(func_def_153, type, sP11: $i > $i > $o).
% 98.02/15.25 thf(func_def_154, type, sP12: $i > $i > $o).
% 98.02/15.25 thf(func_def_155, type, sP13: $i > $i > $o).
% 98.02/15.25 thf(func_def_157, type, sP15: $i > $i > ($i > $o) > ($i > $o) > $o).
% 98.02/15.25 thf(func_def_170, type, sP28: ($i > $i > $o) > $i > $o).
% 98.02/15.25 thf(func_def_172, type, sP30: $i > $i > $o > $o).
% 98.02/15.25 thf(func_def_178, type, sP36: $i > $o).
% 98.02/15.25 thf(func_def_182, type, sK40: $i > $o).
% 98.02/15.25 thf(func_def_183, type, sK41: $i > $o).
% 98.02/15.25 thf(func_def_184, type, sK42: ($i > $o) > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_185, type, sK43: ($i > $o) > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_190, type, sK48: $i > $i > $i).
% 98.02/15.25 thf(func_def_191, type, sK49: $i > $i > $i).
% 98.02/15.25 thf(func_def_192, type, sK50: $i > $i > $i > $o).
% 98.02/15.25 thf(func_def_196, type, sK54: $i > $o).
% 98.02/15.25 thf(func_def_199, type, sK57: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_204, type, sK62: $i > $i).
% 98.02/15.25 thf(func_def_206, type, sK64: $i > $o).
% 98.02/15.25 thf(func_def_208, type, sK66: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_209, type, sK67: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_228, type, sK86: $i > $o).
% 98.02/15.25 thf(func_def_230, type, sK88: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_233, type, sK91: $i > $i > $i).
% 98.02/15.25 thf(func_def_234, type, sK92: $i > $i > $i).
% 98.02/15.25 thf(func_def_235, type, sK93: $i > $i > $i).
% 98.02/15.25 thf(func_def_236, type, sK94: $i > $i > $i).
% 98.02/15.25 thf(func_def_237, type, sK95: $i > $i > $i).
% 98.02/15.25 thf(func_def_238, type, sK96: $i > $i > $i).
% 98.02/15.25 thf(func_def_239, type, sK97: $i > $i > $i).
% 98.02/15.25 thf(func_def_240, type, sK98: $i > $i > $i > $i).
% 98.02/15.25 thf(func_def_241, type, sK99: $i > $i).
% 98.02/15.25 thf(func_def_242, type, sK100: $i > $i).
% 98.02/15.25 thf(func_def_243, type, sK101: $i > $i).
% 98.02/15.25 thf(func_def_244, type, sK102: $i > $i).
% 98.02/15.25 thf(func_def_245, type, sK103: $i > $i > $i).
% 98.02/15.25 thf(func_def_246, type, sK104: $i > $i > $i).
% 98.02/15.25 thf(func_def_247, type, sK105: $i > $i > $i).
% 98.02/15.25 thf(func_def_248, type, sK106: $i > $i > $i > $i).
% 98.02/15.25 thf(func_def_249, type, sK107: $i > $i > $i > $i).
% 98.02/15.25 thf(func_def_251, type, sK109: $i > $i).
% 98.02/15.25 thf(func_def_256, type, sK114: $i > $o).
% 98.02/15.25 thf(func_def_257, type, sK115: $i > $o).
% 98.02/15.25 thf(func_def_258, type, sK116: ($i > $o) > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_259, type, sK117: ($i > $o) > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_260, type, sK118: $i > $i > ($i > $o) > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_261, type, sK119: $i > $i > ($i > $o) > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_264, type, sK122: $i > $o).
% 98.02/15.25 thf(func_def_265, type, sK123: $i > $o).
% 98.02/15.25 thf(func_def_276, type, sK134: $i > $o).
% 98.02/15.25 thf(func_def_283, type, sK141: $i > $o).
% 98.02/15.25 thf(func_def_285, type, sK143: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_287, type, sK145: $i > $o).
% 98.02/15.25 thf(func_def_289, type, sK147: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_292, type, sK150: $i > $i).
% 98.02/15.25 thf(func_def_293, type, sK151: $i > $i).
% 98.02/15.25 thf(func_def_294, type, sK152: $i > $o).
% 98.02/15.25 thf(func_def_304, type, sK162: $i > $i).
% 98.02/15.25 thf(func_def_309, type, sK167: $i > $o).
% 98.02/15.25 thf(func_def_311, type, sK169: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_330, type, sK188: $i > $i > $i).
% 98.02/15.25 thf(func_def_335, type, sK193: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_336, type, sK194: $i > $o).
% 98.02/15.25 thf(func_def_337, type, sK195: $i > $o).
% 98.02/15.25 thf(func_def_338, type, sK196: $i > $i).
% 98.02/15.25 thf(func_def_339, type, sK197: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_343, type, sK201: $i > $o).
% 98.02/15.25 thf(func_def_345, type, sK203: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_357, type, sK215: $i > $o).
% 98.02/15.25 thf(func_def_361, type, sK219: $i > $o).
% 98.02/15.25 thf(func_def_365, type, sK223: $i > $o).
% 98.02/15.25 thf(func_def_369, type, sK227: $i > $o).
% 98.02/15.25 thf(func_def_374, type, sK232: $i > $o).
% 98.02/15.25 thf(func_def_382, type, sK240: $i > $i > $i).
% 98.02/15.25 thf(func_def_389, type, sK247: $i > $i > $i).
% 98.02/15.25 thf(func_def_391, type, sK249: $i > $o).
% 98.02/15.25 thf(func_def_399, type, sK257: $i > $o).
% 98.02/15.25 thf(func_def_400, type, sK258: $i > $o).
% 98.02/15.25 thf(func_def_403, type, sK261: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_410, type, sK268: $i > $o).
% 98.02/15.25 thf(func_def_417, type, sK275: $i > $i > $i).
% 98.02/15.25 thf(func_def_421, type, sK279: $i > $i > $i).
% 98.02/15.25 thf(func_def_423, type, sK281: $i > $i > $o).
% 98.02/15.25 thf(func_def_424, type, sK282: ($i > $i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_425, type, sK283: $i > ($i > $i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_426, type, sK284: $i > ($i > $i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_427, type, sK285: ($i > $i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_428, type, sK286: $i > ($i > $i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_433, type, sK291: $i > $o).
% 98.02/15.25 thf(func_def_442, type, sK300: $i > $o).
% 98.02/15.25 thf(func_def_445, type, sK303: $i > $o).
% 98.02/15.25 thf(func_def_446, type, sK304: $i > $i).
% 98.02/15.25 thf(func_def_447, type, sK305: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_451, type, sK309: $o > $i > $i > $i).
% 98.02/15.25 thf(func_def_454, type, sK312: $i > $i).
% 98.02/15.25 thf(func_def_458, type, sK316: $i > $i > $i).
% 98.02/15.25 thf(func_def_472, type, sK330: $i > $o).
% 98.02/15.25 thf(func_def_474, type, sK332: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_478, type, sK336: $i > $i).
% 98.02/15.25 thf(func_def_479, type, sK337: $i > $i).
% 98.02/15.25 thf(func_def_482, type, sK340: $i > $i).
% 98.02/15.25 thf(func_def_485, type, sK343: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_487, type, sK345: $i > $i > ($i > $i > $o) > $i).
% 98.02/15.25 thf(func_def_489, type, sK347: $i > $i).
% 98.02/15.25 thf(func_def_490, type, sK348: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_491, type, sK349: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_492, type, sK350: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_493, type, sK351: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_494, type, sK352: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_495, type, sK353: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_496, type, sK354: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_497, type, sK355: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_498, type, sK356: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_499, type, sK357: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_500, type, sK358: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_501, type, sK359: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_502, type, sK360: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_503, type, sK361: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_504, type, sK362: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_505, type, sK363: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_507, type, sK365: $i > $i).
% 98.02/15.25 thf(func_def_508, type, sK366: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_509, type, sK367: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_510, type, sK368: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_511, type, sK369: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_512, type, sK370: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_513, type, sK371: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_514, type, sK372: $i > ($i > $o) > $i).
% 98.02/15.25 thf(func_def_515, type, sK373: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_516, type, sK374: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_517, type, sK375: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_518, type, sK376: $i > $i).
% 98.02/15.25 thf(func_def_519, type, sK377: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_520, type, sK378: $i > $i).
% 98.02/15.25 thf(func_def_521, type, sK379: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_522, type, sK380: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_523, type, sK381: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_524, type, sK382: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_525, type, sK383: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_526, type, sK384: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_527, type, sK385: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_528, type, sK386: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_529, type, sK387: ($i > $o) > $i).
% 98.02/15.25 thf(func_def_530, type, sK388: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_532, type, sK390: ($i > $o) > $i > $i).
% 98.02/15.25 thf(func_def_533, type, sK391: $i > $i).
% 98.02/15.25 thf(func_def_534, type, sK392: $i > $i).
% 98.02/15.25 thf(func_def_535, type, sK393: $i > $i).
% 98.02/15.25 thf(func_def_540, type, ph397: !>[X0: $tType]:(X0)).
% 98.02/15.25 thf(f15160,plain,(
% 98.02/15.25 $false),
% 98.02/15.25 inference(subsumption_resolution,[status(thm)],[f15155,f1645])).
% 98.02/15.25 thf(f1645,plain,(
% 98.02/15.25 (emptyset != (binintersect @ sK338 @ sK339))),
% 98.02/15.25 inference(cnf_transformation,[status(thm)],[f1123])).
% 98.02/15.25 thf(f1123,plain,(
% 98.02/15.25 (notdallE = $true) & (omegaSAx = $true) & (dsetconstrI = $true) & (sepInPowerset = $true) & (exuI3 = $true) & (binintersectSubset5 = $true) & (emptyinPowerset = $true) & (setadjoinIL = $true) & (powersetI = $true) & (notdexE = $true) & (nonemptyE1 = $true) & (emptysetE = $true) & (subsetemptysetimpeq = $true) & (setadjoinIR = $true) & (omegaIndAx = $true) & (prop2set2propI = $true) & (vacuousDall = $true) & (setoftrueEq = $true) & (nonemptyImpWitness = $true) & (exuE3e = $true) & (subset2powerset = $true) & (upairsetE = $true) & (notinemptyset = $true) & (prop2setI = $true) & (setbeta = $true) & (uniqinunit = $true) & (quantDeMorgan1 = $true) & (powerset__Cong = $true) & (singletonsswitch = $true) & (eqimpsubset1 = $true) & (exuI1 = $true) & (exuE3u = $true) & (binunionRsub = $true) & (dsetconstrEL = $true) & (binintersectLsub = $true) & (sepSubset = $true) & (dsetconstrER = $true) & (quantDeMorgan4 = $true) & (prop2setE = $true) & (powersetE = $true) & (setextAx = $true) & (setadjoinE = $true) & (notequalI1 = $true) & (inPowerset = $true) & (setextsub = $true) & (binunionLsub = $true) & (emptyinunitempty = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (subPowSU = $true) & (descr__Cong = $true) & (binunionIL = $true) & (foundationAx = $true) & (setext = $true) & (wellorderingAx = $true) & (powersetE1 = $true) & (subsetI1 = $true) & (binintersectSubset2 = $true) & (eqimpsubset2 = $true) & (setadjoinSub2 = $true) & (emptysetimpfalse = $true) & (exu__Cong = $true) & (binintersectEL = $true) & (setunionE = $true) & (subsetRefl = $true) & (emptysetAx = $true) & (subsetI2 = $true) & (exuI2 = $true) & (exuE1 = $true) & (in__Cong = $true) & (emptysetsubset = $true) & (binintersectI = $true) & (setadjoinSub = $true) & (binintersectSubset3 = $true) & (setadjoinOr = $true) & (setunionAx = $true) & (exuEu = $true) & (notinsingleton = $true) & (eqinunit = $true) & (setunionI = $true) & (notequalI2 = $true) & (subsetE2 = $true) & (quantDeMorgan3 = $true) & (subsetTrans = $true) & (binunionIR = $true) & (subsetE = $true) & (dsetconstr__Cong = $true) & (omega__Cong = $true) & (binunionE = $true) & (setunion__Cong = $true) & (nonemptyI1 = $true) & (binunionEcases = $true) & (descrp = $true) & (powersetAx = $true) & (nonemptyI = $true) & (emptyE1 = $true) & (powersetsubset = $true) & (! [X2 : $i] : (($true != (in @ X2 @ sK338)) | ((in @ X2 @ sK339) != $true)) & (emptyset != (binintersect @ sK338 @ sK339))) & (replAx = $true) & (upairset2IR = $true) & (upairsetIL = $true) & (inCongP = $true) & (omega0Ax = $true) & (setadjoinAx = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (emptyInPowerset = $true) & (powersetI1 = $true) & (exuE2 = $true) & (notsubsetI = $true) & (upairsetIR = $true) & (quantDeMorgan2 = $true) & (binintersectER = $true)),
% 98.02/15.25 inference(skolemisation,[status(esa),new_symbols(skolem,[sK338,sK339])],[f414,f1122])).
% 98.02/15.25 thf(f1122,plain,(
% 98.02/15.25 ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true != (in @ X2 @ X0)) | ($true != (in @ X2 @ X1))) & (emptyset != (binintersect @ X0 @ X1))) => (! [X2 : $i] : (($true != (in @ X2 @ sK338)) | ((in @ X2 @ sK339) != $true)) & (emptyset != (binintersect @ sK338 @ sK339)))),
% 98.02/15.25 introduced(definition,[],[choice_axiom])).
% 98.02/15.25 thf(f414,plain,(
% 98.02/15.25 (notdallE = $true) & (omegaSAx = $true) & (dsetconstrI = $true) & (sepInPowerset = $true) & (exuI3 = $true) & (binintersectSubset5 = $true) & (emptyinPowerset = $true) & (setadjoinIL = $true) & (powersetI = $true) & (notdexE = $true) & (nonemptyE1 = $true) & (emptysetE = $true) & (subsetemptysetimpeq = $true) & (setadjoinIR = $true) & (omegaIndAx = $true) & (prop2set2propI = $true) & (vacuousDall = $true) & (setoftrueEq = $true) & (nonemptyImpWitness = $true) & (exuE3e = $true) & (subset2powerset = $true) & (upairsetE = $true) & (notinemptyset = $true) & (prop2setI = $true) & (setbeta = $true) & (uniqinunit = $true) & (quantDeMorgan1 = $true) & (powerset__Cong = $true) & (singletonsswitch = $true) & (eqimpsubset1 = $true) & (exuI1 = $true) & (exuE3u = $true) & (binunionRsub = $true) & (dsetconstrEL = $true) & (binintersectLsub = $true) & (sepSubset = $true) & (dsetconstrER = $true) & (quantDeMorgan4 = $true) & (prop2setE = $true) & (powersetE = $true) & (setextAx = $true) & (setadjoinE = $true) & (notequalI1 = $true) & (inPowerset = $true) & (setextsub = $true) & (binunionLsub = $true) & (emptyinunitempty = $true) & (noeltsimpempty = $true) & (emptyI = $true) & (subPowSU = $true) & (descr__Cong = $true) & (binunionIL = $true) & (foundationAx = $true) & (setext = $true) & (wellorderingAx = $true) & (powersetE1 = $true) & (subsetI1 = $true) & (binintersectSubset2 = $true) & (eqimpsubset2 = $true) & (setadjoinSub2 = $true) & (emptysetimpfalse = $true) & (exu__Cong = $true) & (binintersectEL = $true) & (setunionE = $true) & (subsetRefl = $true) & (emptysetAx = $true) & (subsetI2 = $true) & (exuI2 = $true) & (exuE1 = $true) & (in__Cong = $true) & (emptysetsubset = $true) & (binintersectI = $true) & (setadjoinSub = $true) & (binintersectSubset3 = $true) & (setadjoinOr = $true) & (setunionAx = $true) & (exuEu = $true) & (notinsingleton = $true) & (eqinunit = $true) & (setunionI = $true) & (notequalI2 = $true) & (subsetE2 = $true) & (quantDeMorgan3 = $true) & (subsetTrans = $true) & (binunionIR = $true) & (subsetE = $true) & (dsetconstr__Cong = $true) & (omega__Cong = $true) & (binunionE = $true) & (setunion__Cong = $true) & (nonemptyI1 = $true) & (binunionEcases = $true) & (descrp = $true) & (powersetAx = $true) & (nonemptyI = $true) & (emptyE1 = $true) & (powersetsubset = $true) & ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true != (in @ X2 @ X0)) | ($true != (in @ X2 @ X1))) & (emptyset != (binintersect @ X0 @ X1))) & (replAx = $true) & (upairset2IR = $true) & (upairsetIL = $true) & (inCongP = $true) & (omega0Ax = $true) & (setadjoinAx = $true) & (setadjoin__Cong = $true) & (emptyset__Cong = $true) & (emptyInPowerset = $true) & (powersetI1 = $true) & (exuE2 = $true) & (notsubsetI = $true) & (upairsetIR = $true) & (quantDeMorgan2 = $true) & (binintersectER = $true)),
% 98.02/15.25 inference(flattening,[status(thm)],[f413])).
% 98.02/15.25 thf(f413,plain,(
% 98.02/15.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true != (in @ X2 @ X0)) | ($true != (in @ X2 @ X1))) & (emptyset != (binintersect @ X0 @ X1))) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 98.02/15.25 inference(ennf_transformation,[status(thm)],[f213])).
% 98.02/15.25 thf(f213,plain,(
% 98.02/15.25 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ! [X0 : $i,X1 : $i] : (~? [X2 : $i] : (($true = (in @ X2 @ X1)) & ($true = (in @ X2 @ X0))) => (emptyset = (binintersect @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 98.02/15.25 inference(fool_elimination,[status(thm)],[f212])).
% 98.02/15.25 thf(f212,plain,(
% 98.02/15.25 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => ! [X0 : $i,X1 : $i] : (~? [X2 : $i] : ((in @ X2 @ X0) & (in @ X2 @ X1)) => (emptyset = (binintersect @ X0 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 98.02/15.25 inference(rectify,[status(thm)],[f116])).
% 98.02/15.25 thf(f116,negated_conjecture,(
% 98.02/15.25 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => ! [X3 : $i,X4 : $i] : (~? [X1 : $i] : ((in @ X1 @ X3) & (in @ X1 @ X4)) => (emptyset = (binintersect @ X3 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 98.02/15.25 inference(negated_conjecture,[status(cth)],[f115])).
% 98.02/15.25 thf(f115,conjecture,(
% 98.02/15.25 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => ! [X3 : $i,X4 : $i] : (~? [X1 : $i] : ((in @ X1 @ X3) & (in @ X1 @ X4)) => (emptyset = (binintersect @ X3 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 98.02/15.25 file('/export/starexec/sandbox/tmp/tmp.7FrhcRyUQJ/DTF2THF_29384.p',disjointsetsI1)).
% 98.02/15.25 thf(f15155,plain,(
% 98.02/15.25 (emptyset = (binintersect @ sK338 @ sK339))),
% 98.02/15.25 inference(trivial_inequality_removal,[status(thm)],[f15154])).
% 98.02/15.25 thf(f15154,plain,(
% 98.02/15.25 (emptyset = (binintersect @ sK338 @ sK339)) | ($true != $true)),
% 98.02/15.25 inference(duplicate_literal_removal,[status(thm)],[f15150])).
% 98.02/15.25 thf(f15150,plain,(
% 98.02/15.25 ($true != $true) | (emptyset = (binintersect @ sK338 @ sK339)) | (emptyset = (binintersect @ sK338 @ sK339))),
% 98.02/15.25 inference(superposition,[status(thm)],[f5577,f3858])).
% 98.02/15.25 thf(f3858,plain,(
% 98.02/15.25 ( ! [X0 : $i,X1 : $i] : (((in @ (sK162 @ (binintersect @ X0 @ X1)) @ X1) = $true) | (emptyset = (binintersect @ X0 @ X1))) )),
% 98.02/15.25 inference(trivial_inequality_removal,[status(thm)],[f3855])).
% 98.02/15.25 thf(f3855,plain,(
% 98.02/15.25 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (emptyset = (binintersect @ X0 @ X1)) | ((in @ (sK162 @ (binintersect @ X0 @ X1)) @ X1) = $true)) )),
% 98.02/15.25 inference(superposition,[status(thm)],[f2386,f2484])).
% 98.02/15.25 thf(f2484,plain,(
% 98.02/15.25 ( ! [X2 : $i] : (((in @ (sK162 @ X2) @ X2) = $true) | (emptyset = X2)) )),
% 98.02/15.25 inference(trivial_inequality_removal,[status(thm)],[f1873])).
% 98.02/15.25 thf(f1873,plain,(
% 98.02/15.25 ( ! [X2 : $i] : (($true != $true) | ((in @ (sK162 @ X2) @ X2) = $true) | (emptyset = X2)) )),
% 98.02/15.25 inference(definition_unfolding,[status(thm)],[f1336,f1695])).
% 98.02/15.25 thf(f1695,plain,(
% 98.02/15.25 (emptyI = $true)),
% 98.02/15.25 inference(cnf_transformation,[status(thm)],[f1123])).
% 98.02/15.25 thf(f1336,plain,(
% 98.02/15.25 ( ! [X2 : $i] : ((emptyset = X2) | ((in @ (sK162 @ X2) @ X2) = $true) | (emptyI != $true)) )),
% 98.02/15.25 inference(cnf_transformation,[status(thm)],[f790])).
% 98.02/15.25 thf(f790,plain,(
% 98.02/15.25 ((emptyI = $true) | ((emptyset != sK161) & ! [X1 : $i] : ((in @ X1 @ sK161) != $true))) & (! [X2 : $i] : ((emptyset = X2) | ((in @ (sK162 @ X2) @ X2) = $true)) | (emptyI != $true))),
% 98.02/15.25 inference(skolemisation,[status(esa),new_symbols(skolem,[sK161,sK162])],[f787,f789,f788])).
% 98.02/15.25 thf(f788,plain,(
% 98.02/15.25 ? [X0 : $i] : ((emptyset != X0) & ! [X1 : $i] : ((in @ X1 @ X0) != $true)) => ((emptyset != sK161) & ! [X1 : $i] : ((in @ X1 @ sK161) != $true))),
% 98.02/15.25 introduced(definition,[],[choice_axiom])).
% 98.02/15.25 thf(f789,plain,(
% 98.02/15.25 ! [X2 : $i] : (? [X3 : $i] : ((in @ X3 @ X2) = $true) => ((in @ (sK162 @ X2) @ X2) = $true))),
% 98.02/15.25 introduced(definition,[],[choice_axiom])).
% 98.02/15.25 thf(f787,plain,(
% 98.02/15.25 ((emptyI = $true) | ? [X0 : $i] : ((emptyset != X0) & ! [X1 : $i] : ((in @ X1 @ X0) != $true))) & (! [X2 : $i] : ((emptyset = X2) | ? [X3 : $i] : ((in @ X3 @ X2) = $true)) | (emptyI != $true))),
% 98.02/15.25 inference(rectify,[status(thm)],[f786])).
% 98.02/15.25 thf(f786,plain,(
% 98.02/15.25 ((emptyI = $true) | ? [X0 : $i] : ((emptyset != X0) & ! [X1 : $i] : ((in @ X1 @ X0) != $true))) & (! [X0 : $i] : ((emptyset = X0) | ? [X1 : $i] : ((in @ X1 @ X0) = $true)) | (emptyI != $true))),
% 98.02/15.25 inference(nnf_transformation,[status(thm)],[f455])).
% 98.02/15.25 thf(f455,plain,(
% 98.02/15.25 (emptyI = $true) <=> ! [X0 : $i] : ((emptyset = X0) | ? [X1 : $i] : ((in @ X1 @ X0) = $true))),
% 98.02/15.25 inference(ennf_transformation,[status(thm)],[f363])).
% 98.02/15.25 thf(f363,plain,(
% 98.02/15.25 ! [X0 : $i] : (! [X1 : $i] : ((in @ X1 @ X0) != $true) => (emptyset = X0)) <=> (emptyI = $true)),
% 98.02/15.25 inference(flattening,[status(thm)],[f291])).
% 98.02/15.25 thf(f291,plain,(
% 98.02/15.25 (emptyI = $true) <=> ! [X0 : $i] : (! [X1 : $i] : ~((in @ X1 @ X0) = $true) => (emptyset = X0))),
% 98.02/15.25 inference(fool_elimination,[status(thm)],[f290])).
% 98.02/15.25 thf(f290,plain,(
% 98.02/15.25 (emptyI = ! [X0 : $i] : (! [X1 : $i] : ~(in @ X1 @ X0) => (emptyset = X0)))),
% 98.02/15.25 inference(rectify,[status(thm)],[f24])).
% 98.02/15.25 thf(f24,axiom,(
% 98.02/15.25 (emptyI = ! [X3 : $i] : (! [X1 : $i] : ~(in @ X1 @ X3) => (emptyset = X3)))),
% 98.02/15.25 file('/export/starexec/sandbox/tmp/tmp.7FrhcRyUQJ/DTF2THF_29384.p',emptyI)).
% 98.02/15.25 thf(f2386,plain,(
% 98.02/15.25 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (binintersect @ X3 @ X4))) | ((in @ X5 @ X4) = $true)) )),
% 98.02/15.25 inference(trivial_inequality_removal,[status(thm)],[f1825])).
% 98.02/15.25 thf(f1825,plain,(
% 98.02/15.25 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ X4) = $true) | ($true != $true) | ($true != (in @ X5 @ (binintersect @ X3 @ X4)))) )),
% 98.02/15.25 inference(definition_unfolding,[status(thm)],[f1275,f1630])).
% 98.02/15.25 thf(f1630,plain,(
% 98.02/15.25 (binintersectER = $true)),
% 98.02/15.25 inference(cnf_transformation,[status(thm)],[f1123])).
% 98.02/15.25 thf(f1275,plain,(
% 98.02/15.25 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (binintersect @ X3 @ X4))) | ((in @ X5 @ X4) = $true) | (binintersectER != $true)) )),
% 98.02/15.25 inference(cnf_transformation,[status(thm)],[f709])).
% 98.02/15.25 thf(f709,plain,(
% 98.02/15.25 ((binintersectER = $true) | (((in @ sK126 @ (binintersect @ sK124 @ sK125)) = $true) & ($true != (in @ sK126 @ sK125)))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (binintersect @ X3 @ X4))) | ((in @ X5 @ X4) = $true)) | (binintersectER != $true))),
% 98.02/15.25 inference(skolemisation,[status(esa),new_symbols(skolem,[sK124,sK125,sK126])],[f707,f708])).
% 98.02/15.25 thf(f708,plain,(
% 98.02/15.25 ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ (binintersect @ X0 @ X1)) = $true) & ($true != (in @ X2 @ X1))) => (((in @ sK126 @ (binintersect @ sK124 @ sK125)) = $true) & ($true != (in @ sK126 @ sK125)))),
% 98.02/15.25 introduced(definition,[],[choice_axiom])).
% 98.02/15.25 thf(f707,plain,(
% 98.02/15.25 ((binintersectER = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ (binintersect @ X0 @ X1)) = $true) & ($true != (in @ X2 @ X1)))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (binintersect @ X3 @ X4))) | ((in @ X5 @ X4) = $true)) | (binintersectER != $true))),
% 98.02/15.25 inference(rectify,[status(thm)],[f706])).
% 98.02/15.25 thf(f706,plain,(
% 98.02/15.25 ((binintersectER = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ (binintersect @ X0 @ X1)) = $true) & ($true != (in @ X2 @ X1)))) & (! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ (binintersect @ X0 @ X1)) != $true) | ($true = (in @ X2 @ X1))) | (binintersectER != $true))),
% 98.02/15.25 inference(nnf_transformation,[status(thm)],[f463])).
% 98.02/15.25 thf(f463,plain,(
% 98.02/15.25 (binintersectER = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ (binintersect @ X0 @ X1)) != $true) | ($true = (in @ X2 @ X1)))),
% 98.02/15.25 inference(ennf_transformation,[status(thm)],[f119])).
% 98.02/15.25 thf(f119,plain,(
% 98.02/15.25 ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ (binintersect @ X0 @ X1)) = $true) => ($true = (in @ X2 @ X1))) <=> (binintersectER = $true)),
% 98.02/15.25 inference(fool_elimination,[status(thm)],[f118])).
% 98.02/15.25 thf(f118,plain,(
% 98.02/15.25 (binintersectER = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (binintersect @ X0 @ X1)) => (in @ X2 @ X1)))),
% 98.02/15.25 inference(rectify,[status(thm)],[f114])).
% 98.02/15.25 thf(f114,axiom,(
% 98.02/15.25 (binintersectER = ! [X3 : $i,X4 : $i,X1 : $i] : ((in @ X1 @ (binintersect @ X3 @ X4)) => (in @ X1 @ X4)))),
% 98.02/15.25 file('/export/starexec/sandbox/tmp/tmp.7FrhcRyUQJ/DTF2THF_29384.p',binintersectER)).
% 98.02/15.25 thf(f5577,plain,(
% 98.02/15.25 ( ! [X0 : $i] : (((in @ (sK162 @ (binintersect @ sK338 @ X0)) @ sK339) != $true) | (emptyset = (binintersect @ sK338 @ X0))) )),
% 98.02/15.25 inference(trivial_inequality_removal,[status(thm)],[f5568])).
% 98.02/15.25 thf(f5568,plain,(
% 98.02/15.25 ( ! [X0 : $i] : ((emptyset = (binintersect @ sK338 @ X0)) | ((in @ (sK162 @ (binintersect @ sK338 @ X0)) @ sK339) != $true) | ($true != $true)) )),
% 98.02/15.25 inference(superposition,[status(thm)],[f1646,f3905])).
% 98.02/15.25 thf(f3905,plain,(
% 98.02/15.25 ( ! [X0 : $i,X1 : $i] : (($true = (in @ (sK162 @ (binintersect @ X0 @ X1)) @ X0)) | (emptyset = (binintersect @ X0 @ X1))) )),
% 98.02/15.25 inference(trivial_inequality_removal,[status(thm)],[f3902])).
% 98.02/15.25 thf(f3902,plain,(
% 98.02/15.25 ( ! [X0 : $i,X1 : $i] : ((emptyset = (binintersect @ X0 @ X1)) | ($true = (in @ (sK162 @ (binintersect @ X0 @ X1)) @ X0)) | ($true != $true)) )),
% 98.02/15.25 inference(superposition,[status(thm)],[f2501,f2484])).
% 98.02/15.25 thf(f2501,plain,(
% 98.02/15.25 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (binintersect @ X3 @ X4))) | ($true = (in @ X5 @ X3))) )),
% 98.02/15.25 inference(trivial_inequality_removal,[status(thm)],[f1889])).
% 98.02/15.25 thf(f1889,plain,(
% 98.02/15.25 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != $true) | ($true = (in @ X5 @ X3)) | ($true != (in @ X5 @ (binintersect @ X3 @ X4)))) )),
% 98.02/15.25 inference(definition_unfolding,[status(thm)],[f1359,f1681])).
% 98.02/15.25 thf(f1681,plain,(
% 98.02/15.25 (binintersectEL = $true)),
% 98.02/15.25 inference(cnf_transformation,[status(thm)],[f1123])).
% 98.02/15.25 thf(f1359,plain,(
% 98.02/15.25 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X5 @ X3)) | ($true != (in @ X5 @ (binintersect @ X3 @ X4))) | (binintersectEL != $true)) )),
% 98.02/15.25 inference(cnf_transformation,[status(thm)],[f813])).
% 98.02/15.25 thf(f813,plain,(
% 98.02/15.25 ((binintersectEL = $true) | (((in @ sK176 @ sK174) != $true) & ((in @ sK176 @ (binintersect @ sK174 @ sK175)) = $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X5 @ X3)) | ($true != (in @ X5 @ (binintersect @ X3 @ X4)))) | (binintersectEL != $true))),
% 98.02/15.25 inference(skolemisation,[status(esa),new_symbols(skolem,[sK174,sK175,sK176])],[f811,f812])).
% 98.02/15.25 thf(f812,plain,(
% 98.02/15.25 ? [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ (binintersect @ X0 @ X1)) = $true)) => (((in @ sK176 @ sK174) != $true) & ((in @ sK176 @ (binintersect @ sK174 @ sK175)) = $true))),
% 98.02/15.25 introduced(definition,[],[choice_axiom])).
% 98.02/15.25 thf(f811,plain,(
% 98.02/15.25 ((binintersectEL = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ (binintersect @ X0 @ X1)) = $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X5 @ X3)) | ($true != (in @ X5 @ (binintersect @ X3 @ X4)))) | (binintersectEL != $true))),
% 98.02/15.25 inference(rectify,[status(thm)],[f810])).
% 98.02/15.25 thf(f810,plain,(
% 98.02/15.25 ((binintersectEL = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X2 @ X0)) & ((in @ X2 @ (binintersect @ X0 @ X1)) = $true))) & (! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X2 @ X0)) | ((in @ X2 @ (binintersect @ X0 @ X1)) != $true)) | (binintersectEL != $true))),
% 98.02/15.25 inference(nnf_transformation,[status(thm)],[f368])).
% 98.02/15.25 thf(f368,plain,(
% 98.02/15.25 (binintersectEL = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X2 @ X0)) | ((in @ X2 @ (binintersect @ X0 @ X1)) != $true))),
% 98.02/15.25 inference(ennf_transformation,[status(thm)],[f187])).
% 98.02/15.25 thf(f187,plain,(
% 98.02/15.25 ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X2 @ (binintersect @ X0 @ X1)) = $true) => ($true = (in @ X2 @ X0))) <=> (binintersectEL = $true)),
% 98.02/15.25 inference(fool_elimination,[status(thm)],[f186])).
% 98.02/15.25 thf(f186,plain,(
% 98.02/15.25 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (binintersect @ X0 @ X1)) => (in @ X2 @ X0)) = binintersectEL)),
% 98.02/15.25 inference(rectify,[status(thm)],[f110])).
% 98.02/15.25 thf(f110,axiom,(
% 98.02/15.25 (! [X3 : $i,X4 : $i,X1 : $i] : ((in @ X1 @ (binintersect @ X3 @ X4)) => (in @ X1 @ X3)) = binintersectEL)),
% 98.02/15.25 file('/export/starexec/sandbox/tmp/tmp.7FrhcRyUQJ/DTF2THF_29384.p',binintersectEL)).
% 98.02/15.25 thf(f1646,plain,(
% 98.02/15.25 ( ! [X2 : $i] : (($true != (in @ X2 @ sK338)) | ((in @ X2 @ sK339) != $true)) )),
% 98.02/15.25 inference(cnf_transformation,[status(thm)],[f1123])).
% 98.02/15.25 % SZS output end Proof for DTF2THF_29384
% 98.02/15.25 % (29959)------------------------------
% 98.02/15.25 % (29959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.02/15.25 % (29959)Termination reason: Refutation
% 98.02/15.25
% 98.02/15.25 % (29959)Memory used [KB]: 13432
% 98.02/15.25 % (29959)Time elapsed: 1.173 s
% 98.02/15.25 % (29959)Instructions burned: 3728 (million)
% 98.02/15.25 % (29959)------------------------------
% 98.02/15.25 % (29959)------------------------------
% 98.02/15.25 % (29482)Success in time 13.699 s
%------------------------------------------------------------------------------