%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU571^1 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:35:20 AM UTC 2026
% Result : Theorem 42.13s 7.42s
% Output : Refutation 42.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 71 ( 18 unt; 0 typ; 11 def)
% Number of atoms : 1838 ( 487 equ; 0 cnn)
% Maximal formula atoms : 88 ( 25 avg)
% Number of connectives : 1142 ( 98 ~; 88 |; 283 &; 301 @)
% ( 11 <=>; 361 =>; 0 <=; 0 <~>)
% Maximal formula depth : 94 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 215 ( 212 usr; 105 con; 0-4 aty)
% Number of variables : 107 ( 0 ^; 82 !; 25 ?; 107 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_115,type,
sP0: $i > $i > $o ).
thf(func_def_116,type,
sP1: $i > $o ).
thf(func_def_117,type,
sP2: $i > $i > $o ).
thf(func_def_118,type,
sP3: $i > $i > $o ).
thf(func_def_129,type,
sK14: $i > $i > $i ).
thf(func_def_135,type,
sK20: $i > $o ).
thf(func_def_140,type,
sK25: $i > $o ).
thf(func_def_145,type,
sK30: $i > $o ).
thf(func_def_149,type,
sK34: $i > $o ).
thf(func_def_153,type,
sK38: $i > $i ).
thf(func_def_164,type,
sK49: $i > $i > $i ).
thf(func_def_170,type,
sK55: $i > ( $i > $o ) > $i ).
thf(func_def_171,type,
sK56: $i > $o ).
thf(func_def_173,type,
sK58: $i > $i ).
thf(func_def_175,type,
sK60: $i > $i ).
thf(func_def_179,type,
sK64: $i > $i > $i ).
thf(func_def_188,type,
sK73: $i > ( $i > $o ) > $i ).
thf(func_def_189,type,
sK74: $i > $o ).
thf(func_def_196,type,
sK81: $i > $o ).
thf(func_def_199,type,
sK84: $i > ( $i > $o ) > $i ).
thf(func_def_210,type,
sK95: $i > $o ).
thf(func_def_216,type,
sK101: $o > $i > $i > $i ).
thf(func_def_219,type,
sK104: $i > $o ).
thf(func_def_220,type,
sK105: $i > $o ).
thf(func_def_221,type,
sK106: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_222,type,
sK107: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_231,type,
sK116: $i > $o ).
thf(func_def_233,type,
sK118: $i > $o ).
thf(func_def_234,type,
sK119: $i > $o ).
thf(func_def_235,type,
sK120: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_236,type,
sK121: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_237,type,
sK122: $i > $o ).
thf(func_def_240,type,
sK125: $i > ( $i > $o ) > $i ).
thf(func_def_241,type,
sK126: ( $i > $o ) > $i ).
thf(func_def_242,type,
sK127: $i > $o ).
thf(func_def_243,type,
sK128: $i > $i ).
thf(func_def_244,type,
sK129: $i > $o ).
thf(func_def_247,type,
sK132: $i > ( $i > $o ) > $i ).
thf(func_def_248,type,
sK133: $i > $o ).
thf(func_def_253,type,
sK138: $i > $o ).
thf(func_def_256,type,
sK141: $i > $i > $i ).
thf(func_def_258,type,
sK143: $i > $i > $i ).
thf(func_def_262,type,
sK147: $i > $i ).
thf(func_def_264,type,
sK149: $i > $o ).
thf(func_def_266,type,
sK151: $i > ( $i > $o ) > $i ).
thf(func_def_267,type,
sK152: $i > $i > $i ).
thf(func_def_268,type,
sK153: $i > $i > $i ).
thf(func_def_269,type,
sK154: $i > $i > $i ).
thf(func_def_270,type,
sK155: $i > $i > $i ).
thf(func_def_271,type,
sK156: $i > $i > $i > $i ).
thf(func_def_272,type,
sK157: $i > $i ).
thf(func_def_273,type,
sK158: $i > $i ).
thf(func_def_274,type,
sK159: $i > $i ).
thf(func_def_275,type,
sK160: $i > $i ).
thf(func_def_276,type,
sK161: $i > $i > $i > $i ).
thf(func_def_277,type,
sK162: $i > $i > $i > $i ).
thf(func_def_278,type,
sK163: $i > $i > $i ).
thf(func_def_279,type,
sK164: $i > $i > $i ).
thf(func_def_280,type,
sK165: $i > $i > $i ).
thf(func_def_281,type,
sK166: $i > $i ).
thf(func_def_282,type,
sK167: $i > $i > $i ).
thf(func_def_284,type,
sK169: $i > $i ).
thf(func_def_285,type,
sK170: $i > $i ).
thf(func_def_287,type,
sK172: $i > $o ).
thf(func_def_289,type,
sK174: $i > $o ).
thf(func_def_294,type,
sK179: ( $i > $o ) > $i ).
thf(func_def_295,type,
sK180: $i > $o ).
thf(func_def_310,type,
sK195: $i > $o ).
thf(func_def_311,type,
sK196: $i > $i ).
thf(func_def_312,type,
sK197: ( $i > $o ) > $i ).
thf(func_def_314,type,
sK199: $i > $i ).
thf(func_def_315,type,
sK200: $i > ( $i > $o ) > $i ).
thf(func_def_316,type,
sK201: $i > $o ).
thf(func_def_323,type,
sK208: $i > $i > $o ).
thf(func_def_324,type,
sK209: $i > $i ).
thf(func_def_325,type,
sK210: $i > $i ).
thf(func_def_326,type,
sK211: ( $i > $i > $o ) > $i > $i ).
thf(func_def_327,type,
sK212: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_328,type,
sK213: ( $i > $i > $o ) > $i > $i ).
thf(func_def_330,type,
sK215: $i > $o ).
thf(func_def_332,type,
sK217: ( $i > $o ) > $i > $i ).
thf(func_def_337,type,
sK222: $i > $i > $i ).
thf(func_def_340,type,
sK225: $i > $i > $i ).
thf(func_def_341,type,
sK226: $i > $i > $i ).
thf(func_def_342,type,
sK227: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_343,type,
sK228: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_344,type,
sK229: $i > $o ).
thf(func_def_345,type,
sK230: $i > $o ).
thf(func_def_350,type,
sK235: $i > $i ).
thf(func_def_355,type,
sK240: ( $i > $o ) > $i ).
thf(func_def_356,type,
sK241: ( $i > $o ) > $i ).
thf(func_def_357,type,
sK242: $i > $o ).
thf(func_def_360,type,
sK245: $i > $i ).
thf(func_def_366,type,
sF251: $i > $o ).
thf(func_def_367,type,
sF252: $i > $i ).
thf(func_def_371,type,
ph256:
!>[X0: $tType] : X0 ).
thf(f5860,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f1434,f1686,f1954,f2135,f2486,f2522,f3009,f5859]) ).
thf(f5859,plain,
( ~ spl255_6
| ~ spl255_48
| ~ spl255_64
| ~ spl255_236 ),
inference(avatar_contradiction_clause,[status(thm)],[f5858]) ).
thf(f5858,plain,
( $false
| ~ spl255_6
| ~ spl255_48
| ~ spl255_64
| ~ spl255_236 ),
inference(trivial_inequality_removal,[status(thm)],[f5857]) ).
thf(f5857,plain,
( ( $true = $false )
| ~ spl255_6
| ~ spl255_48
| ~ spl255_64
| ~ spl255_236 ),
inference(forward_demodulation,[status(thm)],[f5852,f1433]) ).
thf(f1433,plain,
( ( ( sF251 @ sF253 )
= $false )
| ~ spl255_6 ),
inference(avatar_component_clause,[status(thm)],[f1431]) ).
thf(f1431,definition,
( spl255_6
<=> ( ( sF251 @ sF253 )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl255_6])],[avatar_definition]) ).
thf(f5852,plain,
( ( $true
= ( sF251 @ sF253 ) )
| ~ spl255_48
| ~ spl255_64
| ~ spl255_236 ),
inference(trivial_inequality_removal,[status(thm)],[f5851]) ).
thf(f5851,plain,
( ( $true
= ( sF251 @ sF253 ) )
| ( $true = $false )
| ~ spl255_48
| ~ spl255_64
| ~ spl255_236 ),
inference(superposition,[status(thm)],[f3075,f5848]) ).
thf(f5848,plain,
( ( $true
= ( subset @ sK89 @ sF253 ) )
| ~ spl255_48
| ~ spl255_64
| ~ spl255_236 ),
inference(trivial_inequality_removal,[status(thm)],[f5847]) ).
thf(f5847,plain,
( ( $true
= ( subset @ sK89 @ sF253 ) )
| ( $true != $true )
| ~ spl255_48
| ~ spl255_64
| ~ spl255_236 ),
inference(duplicate_literal_removal,[status(thm)],[f5843]) ).
thf(f5843,plain,
( ( $true
= ( subset @ sK89 @ sF253 ) )
| ( $true != $true )
| ( $true
= ( subset @ sK89 @ sF253 ) )
| ~ spl255_48
| ~ spl255_64
| ~ spl255_236 ),
inference(superposition,[status(thm)],[f5372,f1681]) ).
thf(f1681,plain,
( ! [X3: $i,X4: $i] :
( ( $true
= ( in @ ( sK64 @ X4 @ X3 ) @ X4 ) )
| ( ( subset @ X4 @ X3 )
= $true ) )
| ~ spl255_64 ),
inference(avatar_component_clause,[status(thm)],[f1680]) ).
thf(f1680,definition,
( spl255_64
<=> ! [X4: $i,X3: $i] :
( ( $true
= ( in @ ( sK64 @ X4 @ X3 ) @ X4 ) )
| ( ( subset @ X4 @ X3 )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl255_64])],[avatar_definition]) ).
thf(f5372,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ ( sK64 @ X0 @ sF253 ) @ sK89 ) )
| ( $true
= ( subset @ X0 @ sF253 ) ) )
| ~ spl255_48
| ~ spl255_236 ),
inference(trivial_inequality_removal,[status(thm)],[f5369]) ).
thf(f5369,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ ( sK64 @ X0 @ sF253 ) @ sK89 ) )
| ( $true != $true )
| ( $true
= ( subset @ X0 @ sF253 ) ) )
| ~ spl255_48
| ~ spl255_236 ),
inference(superposition,[status(thm)],[f2485,f5280]) ).
thf(f5280,plain,
( ! [X0: $i] :
( ( $true
= ( in @ X0 @ sF253 ) )
| ( $true
!= ( in @ X0 @ sK89 ) ) )
| ~ spl255_48 ),
inference(superposition,[status(thm)],[f5262,f1311]) ).
thf(f1311,definition,
( ( sF252 @ sK89 )
= sF253 ),
introduced(definition,[],[function_definition]) ).
thf(f5262,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( in @ X1 @ ( sF252 @ X0 ) ) )
| ( $true
!= ( in @ X1 @ X0 ) ) )
| ~ spl255_48 ),
inference(superposition,[status(thm)],[f1612,f3077]) ).
thf(f3077,plain,
! [X1: $i] :
( ( sF252 @ X1 )
= ( setadjoin @ sK90 @ X1 ) ),
inference(argument_congruence,[status(thm)],[f1310]) ).
thf(f1310,definition,
( sF252
= ( setadjoin @ sK90 ) ),
introduced(definition,[],[function_definition]) ).
thf(f1612,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( in @ X2 @ ( setadjoin @ X1 @ X0 ) ) )
| ( $true
!= ( in @ X2 @ X0 ) ) )
| ~ spl255_48 ),
inference(avatar_component_clause,[status(thm)],[f1611]) ).
thf(f1611,definition,
( spl255_48
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X2 @ X0 ) )
| ( $true
= ( in @ X2 @ ( setadjoin @ X1 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl255_48])],[avatar_definition]) ).
thf(f2485,plain,
( ! [X3: $i,X4: $i] :
( ( $true
!= ( in @ ( sK64 @ X4 @ X3 ) @ X3 ) )
| ( ( subset @ X4 @ X3 )
= $true ) )
| ~ spl255_236 ),
inference(avatar_component_clause,[status(thm)],[f2484]) ).
thf(f2484,definition,
( spl255_236
<=> ! [X4: $i,X3: $i] :
( ( ( subset @ X4 @ X3 )
= $true )
| ( $true
!= ( in @ ( sK64 @ X4 @ X3 ) @ X3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl255_236])],[avatar_definition]) ).
thf(f3075,plain,
! [X1: $i] :
( ( ( subset @ sK89 @ X1 )
= $false )
| ( $true
= ( sF251 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f3074]) ).
thf(f3074,plain,
! [X1: $i] :
( ( sF251 @ X1 )
= ( subset @ sK89 @ X1 ) ),
inference(argument_congruence,[status(thm)],[f1309]) ).
thf(f1309,definition,
( sF251
= ( subset @ sK89 ) ),
introduced(definition,[],[function_definition]) ).
thf(f3009,plain,
spl255_21,
inference(avatar_split_clause,[status(thm)],[f963,f1495]) ).
thf(f1495,definition,
( spl255_21
<=> ( setadjoinIR = $true ) ),
introduced(definition,[new_symbols(naming,[spl255_21])],[avatar_definition]) ).
thf(f963,plain,
setadjoinIR = $true,
inference(cnf_transformation,[status(thm)],[f542]) ).
thf(f542,plain,
( ( exu__Cong = $true )
& ( exuEu = $true )
& ( emptysetsubset = $true )
& ( setadjoinOr = $true )
& ( emptysetE = $true )
& ( setextAx = $true )
& ( exuI1 = $true )
& ( emptyinunitempty = $true )
& ( powersetAx = $true )
& ( exuE1 = $true )
& ( subsetI2 = $true )
& ( setadjoinE = $true )
& ( notsubsetI = $true )
& ( exuE3e = $true )
& ( setadjoinAx = $true )
& ( descr__Cong = $true )
& ( singletonsswitch = $true )
& ( setoftrueEq = $true )
& ( uniqinunit = $true )
& ( emptyI = $true )
& ( subsetE = $true )
& ( eqinunit = $true )
& ( prop2setI = $true )
& ( dsetconstrI = $true )
& ( emptyinPowerset = $true )
& ( omegaSAx = $true )
& ( descrp = $true )
& ( dsetconstr__Cong = $true )
& ( eqimpsubset1 = $true )
& ( upairsetIL = $true )
& ( subPowSU = $true )
& ( eqimpsubset2 = $true )
& ( vacuousDall = $true )
& ( quantDeMorgan2 = $true )
& ( replAx = $true )
& ( emptyE1 = $true )
& ( notinsingleton = $true )
& ( nonemptyImpWitness = $true )
& ( exuE3u = $true )
& ( emptyset__Cong = $true )
& ( exuI2 = $true )
& ( notequalI1 = $true )
& ( exuE2 = $true )
& ( quantDeMorgan3 = $true )
& ( setbeta = $true )
& ( subsetE2 = $true )
& ( quantDeMorgan4 = $true )
& ( nonemptyI = $true )
& ( noeltsimpempty = $true )
& ( setadjoin__Cong = $true )
& ( nonemptyI1 = $true )
& ( inCongP = $true )
& ( powersetE = $true )
& ( setunionAx = $true )
& ( powersetI = $true )
& ( emptysetimpfalse = $true )
& ( omegaIndAx = $true )
& ( prop2set2propI = $true )
& ( notequalI2 = $true )
& ( exuI3 = $true )
& ( subsetRefl = $true )
& ( notdallE = $true )
& ( setunionI = $true )
& ( setunion__Cong = $true )
& ( notdexE = $true )
& ( emptyInPowerset = $true )
& ( setext = $true )
& ( prop2setE = $true )
& ( upairsetE = $true )
& ( setadjoinIR = $true )
& ( subsetTrans = $true )
& ( setunionE = $true )
& ( quantDeMorgan1 = $true )
& ( notinemptyset = $true )
& ( in__Cong = $true )
& ( subsetI1 = $true )
& ( powerset__Cong = $true )
& ( foundationAx = $true )
& ( setadjoinIL = $true )
& ( dsetconstrEL = $true )
& ( emptysetAx = $true )
& ( $true
!= ( subset @ sK89 @ ( setadjoin @ sK90 @ sK89 ) ) )
& ( wellorderingAx = $true )
& ( omega__Cong = $true )
& ( nonemptyE1 = $true )
& ( dsetconstrER = $true )
& ( upairsetIR = $true )
& ( omega0Ax = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK89,sK90])],[f296,f541]) ).
thf(f541,plain,
( ? [X0: $i,X1: $i] :
( $true
!= ( subset @ X0 @ ( setadjoin @ X1 @ X0 ) ) )
=> ( $true
!= ( subset @ sK89 @ ( setadjoin @ sK90 @ sK89 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f296,plain,
( ( exu__Cong = $true )
& ( exuEu = $true )
& ( emptysetsubset = $true )
& ( setadjoinOr = $true )
& ( emptysetE = $true )
& ( setextAx = $true )
& ( exuI1 = $true )
& ( emptyinunitempty = $true )
& ( powersetAx = $true )
& ( exuE1 = $true )
& ( subsetI2 = $true )
& ( setadjoinE = $true )
& ( notsubsetI = $true )
& ( exuE3e = $true )
& ( setadjoinAx = $true )
& ( descr__Cong = $true )
& ( singletonsswitch = $true )
& ( setoftrueEq = $true )
& ( uniqinunit = $true )
& ( emptyI = $true )
& ( subsetE = $true )
& ( eqinunit = $true )
& ( prop2setI = $true )
& ( dsetconstrI = $true )
& ( emptyinPowerset = $true )
& ( omegaSAx = $true )
& ( descrp = $true )
& ( dsetconstr__Cong = $true )
& ( eqimpsubset1 = $true )
& ( upairsetIL = $true )
& ( subPowSU = $true )
& ( eqimpsubset2 = $true )
& ( vacuousDall = $true )
& ( quantDeMorgan2 = $true )
& ( replAx = $true )
& ( emptyE1 = $true )
& ( notinsingleton = $true )
& ( nonemptyImpWitness = $true )
& ( exuE3u = $true )
& ( emptyset__Cong = $true )
& ( exuI2 = $true )
& ( notequalI1 = $true )
& ( exuE2 = $true )
& ( quantDeMorgan3 = $true )
& ( setbeta = $true )
& ( subsetE2 = $true )
& ( quantDeMorgan4 = $true )
& ( nonemptyI = $true )
& ( noeltsimpempty = $true )
& ( setadjoin__Cong = $true )
& ( nonemptyI1 = $true )
& ( inCongP = $true )
& ( powersetE = $true )
& ( setunionAx = $true )
& ( powersetI = $true )
& ( emptysetimpfalse = $true )
& ( omegaIndAx = $true )
& ( prop2set2propI = $true )
& ( notequalI2 = $true )
& ( exuI3 = $true )
& ( subsetRefl = $true )
& ( notdallE = $true )
& ( setunionI = $true )
& ( setunion__Cong = $true )
& ( notdexE = $true )
& ( emptyInPowerset = $true )
& ( setext = $true )
& ( prop2setE = $true )
& ( upairsetE = $true )
& ( setadjoinIR = $true )
& ( subsetTrans = $true )
& ( setunionE = $true )
& ( quantDeMorgan1 = $true )
& ( notinemptyset = $true )
& ( in__Cong = $true )
& ( subsetI1 = $true )
& ( powerset__Cong = $true )
& ( foundationAx = $true )
& ( setadjoinIL = $true )
& ( dsetconstrEL = $true )
& ( emptysetAx = $true )
& ? [X0: $i,X1: $i] :
( $true
!= ( subset @ X0 @ ( setadjoin @ X1 @ X0 ) ) )
& ( wellorderingAx = $true )
& ( omega__Cong = $true )
& ( nonemptyE1 = $true )
& ( dsetconstrER = $true )
& ( upairsetIR = $true )
& ( omega0Ax = $true ) ),
inference(flattening,[status(thm)],[f295]) ).
thf(f295,plain,
( ? [X0: $i,X1: $i] :
( $true
!= ( subset @ X0 @ ( setadjoin @ X1 @ X0 ) ) )
& ( 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)],[f215]) ).
thf(f215,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 )
=> ! [X0: $i,X1: $i] :
( $true
= ( subset @ X0 @ ( setadjoin @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f214]) ).
thf(f214,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
=> ! [X0: $i,X1: $i] : ( subset @ X0 @ ( setadjoin @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f91]) ).
thf(f91,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
=> ! [X3: $i,X1: $i] : ( subset @ X3 @ ( setadjoin @ X1 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f90]) ).
thf(f90,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
=> ! [X3: $i,X1: $i] : ( subset @ X3 @ ( setadjoin @ X1 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gBFmTjZvT7/DTF2THF_27044.p',setadjoinSub) ).
thf(f2522,plain,
spl255_65,
inference(avatar_split_clause,[status(thm)],[f1022,f1683]) ).
thf(f1683,definition,
( spl255_65
<=> ( subsetI2 = $true ) ),
introduced(definition,[new_symbols(naming,[spl255_65])],[avatar_definition]) ).
thf(f1022,plain,
subsetI2 = $true,
inference(cnf_transformation,[status(thm)],[f542]) ).
thf(f2486,plain,
( ~ spl255_65
| spl255_236 ),
inference(avatar_split_clause,[status(thm)],[f906,f2484,f1683]) ).
thf(f906,plain,
! [X3: $i,X4: $i] :
( ( subsetI2 != $true )
| ( ( subset @ X4 @ X3 )
= $true )
| ( $true
!= ( in @ ( sK64 @ X4 @ X3 ) @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f502]) ).
thf(f502,plain,
( ( ( subsetI2 = $true )
| ( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ sK63 ) )
| ( $true
= ( in @ X2 @ sK62 ) ) )
& ( $true
!= ( subset @ sK63 @ sK62 ) ) ) )
& ( ! [X3: $i,X4: $i] :
( ( ( $true
= ( in @ ( sK64 @ X4 @ X3 ) @ X4 ) )
& ( $true
!= ( in @ ( sK64 @ X4 @ X3 ) @ X3 ) ) )
| ( ( subset @ X4 @ X3 )
= $true ) )
| ( subsetI2 != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62,sK63,sK64])],[f499,f501,f500]) ).
thf(f500,plain,
( ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ X1 ) )
| ( $true
= ( in @ X2 @ X0 ) ) )
& ( $true
!= ( subset @ X1 @ X0 ) ) )
=> ( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ sK63 ) )
| ( $true
= ( in @ X2 @ sK62 ) ) )
& ( $true
!= ( subset @ sK63 @ sK62 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f501,plain,
! [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( ( in @ X5 @ X4 )
= $true )
& ( $true
!= ( in @ X5 @ X3 ) ) )
=> ( ( $true
= ( in @ ( sK64 @ X4 @ X3 ) @ X4 ) )
& ( $true
!= ( in @ ( sK64 @ X4 @ X3 ) @ X3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f499,plain,
( ( ( subsetI2 = $true )
| ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ X1 ) )
| ( $true
= ( in @ X2 @ X0 ) ) )
& ( $true
!= ( subset @ X1 @ X0 ) ) ) )
& ( ! [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( ( in @ X5 @ X4 )
= $true )
& ( $true
!= ( in @ X5 @ X3 ) ) )
| ( ( subset @ X4 @ X3 )
= $true ) )
| ( subsetI2 != $true ) ) ),
inference(rectify,[status(thm)],[f498]) ).
thf(f498,plain,
( ( ( subsetI2 = $true )
| ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ X1 ) )
| ( $true
= ( in @ X2 @ X0 ) ) )
& ( $true
!= ( subset @ X1 @ X0 ) ) ) )
& ( ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ X1 ) )
& ( $true
!= ( in @ X2 @ X0 ) ) )
| ( $true
= ( subset @ X1 @ X0 ) ) )
| ( subsetI2 != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f333]) ).
thf(f333,plain,
( ( subsetI2 = $true )
<=> ! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( $true
= ( in @ X2 @ X1 ) )
& ( $true
!= ( in @ X2 @ X0 ) ) )
| ( $true
= ( subset @ X1 @ X0 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f226]) ).
thf(f226,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( $true
= ( in @ X2 @ X1 ) )
=> ( $true
= ( in @ X2 @ X0 ) ) )
=> ( $true
= ( subset @ X1 @ X0 ) ) )
<=> ( subsetI2 = $true ) ),
inference(fool_elimination,[status(thm)],[f225]) ).
thf(f225,plain,
! [X0: $i,X1: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( subset @ X1 @ X0 ) )
= subsetI2 ),
inference(rectify,[status(thm)],[f81]) ).
thf(f81,axiom,
! [X4: $i,X3: $i] :
( ( ! [X1: $i] :
( ( in @ X1 @ X3 )
=> ( in @ X1 @ X4 ) )
=> ( subset @ X3 @ X4 ) )
= subsetI2 ),
file('/export/starexec/sandbox/tmp/tmp.gBFmTjZvT7/DTF2THF_27044.p',subsetI2) ).
thf(f2135,plain,
( ~ spl255_21
| spl255_48 ),
inference(avatar_split_clause,[status(thm)],[f1251,f1611,f1495]) ).
thf(f1251,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X3 @ ( setadjoin @ X5 @ X4 ) ) )
| ( setadjoinIR != $true )
| ( $true
!= ( in @ X3 @ X4 ) ) ),
inference(cnf_transformation,[status(thm)],[f785]) ).
thf(f785,plain,
( ( ( setadjoinIR = $true )
| ( ( $true
!= ( in @ sK231 @ ( setadjoin @ sK233 @ sK232 ) ) )
& ( $true
= ( in @ sK231 @ sK232 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X3 @ ( setadjoin @ X5 @ X4 ) ) )
| ( $true
!= ( in @ X3 @ X4 ) ) )
| ( setadjoinIR != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK231,sK232,sK233])],[f783,f784]) ).
thf(f784,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ ( setadjoin @ X2 @ X1 ) ) )
& ( $true
= ( in @ X0 @ X1 ) ) )
=> ( ( $true
!= ( in @ sK231 @ ( setadjoin @ sK233 @ sK232 ) ) )
& ( $true
= ( in @ sK231 @ sK232 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f783,plain,
( ( ( setadjoinIR = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ ( setadjoin @ X2 @ X1 ) ) )
& ( $true
= ( in @ X0 @ X1 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( in @ X3 @ ( setadjoin @ X5 @ X4 ) ) )
| ( $true
!= ( in @ X3 @ X4 ) ) )
| ( setadjoinIR != $true ) ) ),
inference(rectify,[status(thm)],[f782]) ).
thf(f782,plain,
( ( ( setadjoinIR = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ ( setadjoin @ X2 @ X1 ) ) )
& ( $true
= ( in @ X0 @ X1 ) ) ) )
& ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( setadjoin @ X2 @ X1 ) ) )
| ( $true
!= ( in @ X0 @ X1 ) ) )
| ( setadjoinIR != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f347]) ).
thf(f347,plain,
( ( setadjoinIR = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( setadjoin @ X2 @ X1 ) ) )
| ( $true
!= ( in @ X0 @ X1 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f169]) ).
thf(f169,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( in @ X0 @ X1 ) )
=> ( $true
= ( in @ X0 @ ( setadjoin @ X2 @ X1 ) ) ) )
<=> ( setadjoinIR = $true ) ),
inference(fool_elimination,[status(thm)],[f168]) ).
thf(f168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
=> ( in @ X0 @ ( setadjoin @ X2 @ X1 ) ) )
= setadjoinIR ),
inference(rectify,[status(thm)],[f33]) ).
thf(f33,axiom,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ X3 )
=> ( in @ X2 @ ( setadjoin @ X1 @ X3 ) ) )
= setadjoinIR ),
file('/export/starexec/sandbox/tmp/tmp.gBFmTjZvT7/DTF2THF_27044.p',setadjoinIR) ).
thf(f1954,plain,
~ spl255_5,
inference(avatar_split_clause,[status(thm)],[f1313,f1427]) ).
thf(f1427,definition,
( spl255_5
<=> ( $true = sF254 ) ),
introduced(definition,[new_symbols(naming,[spl255_5])],[avatar_definition]) ).
thf(f1313,plain,
$true != sF254,
inference(definition_folding,[status(thm)],[f951,f1312,f1311,f1310,f1309]) ).
thf(f1312,definition,
( sF254
= ( sF251 @ sF253 ) ),
introduced(definition,[],[function_definition]) ).
thf(f951,plain,
( $true
!= ( subset @ sK89 @ ( setadjoin @ sK90 @ sK89 ) ) ),
inference(cnf_transformation,[status(thm)],[f542]) ).
thf(f1686,plain,
( spl255_64
| ~ spl255_65 ),
inference(avatar_split_clause,[status(thm)],[f907,f1683,f1680]) ).
thf(f907,plain,
! [X3: $i,X4: $i] :
( ( $true
= ( in @ ( sK64 @ X4 @ X3 ) @ X4 ) )
| ( ( subset @ X4 @ X3 )
= $true )
| ( subsetI2 != $true ) ),
inference(cnf_transformation,[status(thm)],[f502]) ).
thf(f1434,plain,
( spl255_5
| spl255_6 ),
inference(avatar_split_clause,[status(thm)],[f1408,f1431,f1427]) ).
thf(f1408,plain,
( ( $true = sF254 )
| ( ( sF251 @ sF253 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f1312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU571^1 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.32 % Computer : n007.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue Feb 24 12:26:38 EST 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.32 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.46 ---- Original DTF file ---
% 0.18/0.46 thf(spec,logic,$$dhol).
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 % File : SEU571^1 : TPTP v9.2.1. Released v3.7.0.
% 0.18/0.46 % Domain : Set Theory
% 0.18/0.46 % Problem : Preliminary Notions - Relations on Sets - Subsets
% 0.18/0.46 % Version : Especial.
% 0.18/0.46 % English : (! x:i.! A:i.subset A (setadjoin x A))
% 0.18/0.46
% 0.18/0.46 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.18/0.46 % Source : [Bro08]
% 0.18/0.46 % Names : ZFC073g [Bro08]
% 0.18/0.46
% 0.18/0.46 % Status : Theorem
% 0.18/0.46 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.30 v8.2.0, 0.31 v8.1.0, 0.09 v7.5.0, 0.00 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v6.1.0, 0.29 v6.0.0, 0.43 v5.5.0, 0.33 v5.4.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.67 v4.0.1, 1.00 v3.7.0
% 0.18/0.46 % Syntax : Number of formulae : 192 ( 89 unt; 102 typ; 89 def)
% 0.18/0.46 % Number of atoms : 487 ( 136 equ; 0 cnn)
% 0.18/0.46 % Maximal formula atoms : 88 ( 5 avg)
% 0.18/0.46 % Number of connectives : 772 ( 29 ~; 5 |; 27 &; 474 @)
% 0.18/0.46 % ( 14 <=>; 223 =>; 0 <=; 0 <~>)
% 0.18/0.46 % Maximal formula depth : 93 ( 2 avg)
% 0.18/0.46 % Number of types : 2 ( 0 usr)
% 0.18/0.46 % Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% 0.18/0.46 % Number of symbols : 105 ( 102 usr; 91 con; 0-2 aty)
% 0.18/0.46 % Number of variables : 273 ( 28 ^; 217 !; 28 ?; 273 :)
% 0.18/0.46 % SPC : TH0_THM_EQU_NAR
% 0.18/0.46
% 0.18/0.46 % Comments : http://mathgate.info/detsetitem.php?id=458
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 thf(in_type,type,
% 0.18/0.46 in: $i > $i > $o ).
% 0.18/0.46
% 0.18/0.46 thf(exu_type,type,
% 0.18/0.46 exu: ( $i > $o ) > $o ).
% 0.18/0.46
% 0.18/0.46 thf(exu,definition,
% 0.18/0.46 ( exu
% 0.18/0.46 = ( ^ [Xphi: $i > $o] :
% 0.18/0.46 ? [Xx: $i] :
% 0.18/0.46 ( ( Xphi @ Xx )
% 0.18/0.46 & ! [Xy: $i] :
% 0.18/0.46 ( ( Xphi @ Xy )
% 0.18/0.46 => ( Xx = Xy ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setextAx_type,type,
% 0.18/0.46 setextAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setextAx,definition,
% 0.18/0.46 ( setextAx
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 <=> ( in @ Xx @ B ) )
% 0.18/0.46 => ( A = B ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptyset_type,type,
% 0.18/0.46 emptyset: $i ).
% 0.18/0.46
% 0.18/0.46 thf(emptysetAx_type,type,
% 0.18/0.46 emptysetAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptysetAx,definition,
% 0.18/0.46 ( emptysetAx
% 0.18/0.46 = ( ! [Xx: $i] :
% 0.18/0.46 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoin_type,type,
% 0.18/0.46 setadjoin: $i > $i > $i ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinAx_type,type,
% 0.18/0.46 setadjoinAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinAx,definition,
% 0.18/0.46 ( setadjoinAx
% 0.18/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.18/0.46 <=> ( ( Xy = Xx )
% 0.18/0.46 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(powerset_type,type,
% 0.18/0.46 powerset: $i > $i ).
% 0.18/0.46
% 0.18/0.46 thf(powersetAx_type,type,
% 0.18/0.46 powersetAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(powersetAx,definition,
% 0.18/0.46 ( powersetAx
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ( in @ B @ ( powerset @ A ) )
% 0.18/0.46 <=> ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ B )
% 0.18/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setunion_type,type,
% 0.18/0.46 setunion: $i > $i ).
% 0.18/0.46
% 0.18/0.46 thf(setunionAx_type,type,
% 0.18/0.46 setunionAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setunionAx,definition,
% 0.18/0.46 ( setunionAx
% 0.18/0.46 = ( ! [A: $i,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ ( setunion @ A ) )
% 0.18/0.46 <=> ? [B: $i] :
% 0.18/0.46 ( ( in @ Xx @ B )
% 0.18/0.46 & ( in @ B @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(omega_type,type,
% 0.18/0.46 omega: $i ).
% 0.18/0.46
% 0.18/0.46 thf(omega0Ax_type,type,
% 0.18/0.46 omega0Ax: $o ).
% 0.18/0.46
% 0.18/0.46 thf(omega0Ax,definition,
% 0.18/0.46 ( omega0Ax
% 0.18/0.46 = ( in @ emptyset @ omega ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(omegaSAx_type,type,
% 0.18/0.46 omegaSAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(omegaSAx,definition,
% 0.18/0.46 ( omegaSAx
% 0.18/0.46 = ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ omega )
% 0.18/0.46 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(omegaIndAx_type,type,
% 0.18/0.46 omegaIndAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(omegaIndAx,definition,
% 0.18/0.46 ( omegaIndAx
% 0.18/0.46 = ( ! [A: $i] :
% 0.18/0.46 ( ( ( in @ emptyset @ A )
% 0.18/0.46 & ! [Xx: $i] :
% 0.18/0.46 ( ( ( in @ Xx @ omega )
% 0.18/0.46 & ( in @ Xx @ A ) )
% 0.18/0.46 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.18/0.46 => ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ omega )
% 0.18/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(replAx_type,type,
% 0.18/0.46 replAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(replAx,definition,
% 0.18/0.46 ( replAx
% 0.18/0.46 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( exu
% 0.18/0.46 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.18/0.46 => ? [B: $i] :
% 0.18/0.46 ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ B )
% 0.18/0.46 <=> ? [Xy: $i] :
% 0.18/0.46 ( ( in @ Xy @ A )
% 0.18/0.46 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(foundationAx_type,type,
% 0.18/0.46 foundationAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(foundationAx,definition,
% 0.18/0.46 ( foundationAx
% 0.18/0.46 = ( ! [A: $i] :
% 0.18/0.46 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.18/0.46 => ? [B: $i] :
% 0.18/0.46 ( ( in @ B @ A )
% 0.18/0.46 & ~ ? [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ B )
% 0.18/0.46 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(wellorderingAx_type,type,
% 0.18/0.46 wellorderingAx: $o ).
% 0.18/0.46
% 0.18/0.46 thf(wellorderingAx,definition,
% 0.18/0.46 ( wellorderingAx
% 0.18/0.46 = ( ! [A: $i] :
% 0.18/0.46 ? [B: $i] :
% 0.18/0.46 ( ! [C: $i] :
% 0.18/0.46 ( ( in @ C @ B )
% 0.18/0.46 => ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ C )
% 0.18/0.46 => ( in @ Xx @ A ) ) )
% 0.18/0.46 & ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( ( in @ Xx @ A )
% 0.18/0.46 & ( in @ Xy @ A ) )
% 0.18/0.46 => ( ! [C: $i] :
% 0.18/0.46 ( ( in @ C @ B )
% 0.18/0.46 => ( ( in @ Xx @ C )
% 0.18/0.46 <=> ( in @ Xy @ C ) ) )
% 0.18/0.46 => ( Xx = Xy ) ) )
% 0.18/0.46 & ! [C: $i,D: $i] :
% 0.18/0.46 ( ( ( in @ C @ B )
% 0.18/0.46 & ( in @ D @ B ) )
% 0.18/0.46 => ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ C )
% 0.18/0.46 => ( in @ Xx @ D ) )
% 0.18/0.46 | ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ D )
% 0.18/0.46 => ( in @ Xx @ C ) ) ) )
% 0.18/0.46 & ! [C: $i] :
% 0.18/0.46 ( ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ C )
% 0.18/0.46 => ( in @ Xx @ A ) )
% 0.18/0.46 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.18/0.46 => ? [D: $i,Xx: $i] :
% 0.18/0.46 ( ( in @ D @ B )
% 0.18/0.46 & ( in @ Xx @ C )
% 0.18/0.46 & ~ ? [Xy: $i] :
% 0.18/0.46 ( ( in @ Xy @ D )
% 0.18/0.46 & ( in @ Xy @ C ) )
% 0.18/0.46 & ! [E: $i] :
% 0.18/0.46 ( ( in @ E @ B )
% 0.18/0.46 => ( ! [Xy: $i] :
% 0.18/0.46 ( ( in @ Xy @ E )
% 0.18/0.46 => ( in @ Xy @ D ) )
% 0.18/0.46 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(descr_type,type,
% 0.18/0.46 descr: ( $i > $o ) > $i ).
% 0.18/0.46
% 0.18/0.46 thf(descrp_type,type,
% 0.18/0.46 descrp: $o ).
% 0.18/0.46
% 0.18/0.46 thf(descrp,definition,
% 0.18/0.46 ( descrp
% 0.18/0.46 = ( ! [Xphi: $i > $o] :
% 0.18/0.46 ( ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 => ( Xphi
% 0.18/0.46 @ ( descr
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(dsetconstr_type,type,
% 0.18/0.46 dsetconstr: $i > ( $i > $o ) > $i ).
% 0.18/0.46
% 0.18/0.46 thf(dsetconstrI_type,type,
% 0.18/0.46 dsetconstrI: $o ).
% 0.18/0.46
% 0.18/0.46 thf(dsetconstrI,definition,
% 0.18/0.46 ( dsetconstrI
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( ( Xphi @ Xx )
% 0.18/0.46 => ( in @ Xx
% 0.18/0.46 @ ( dsetconstr @ A
% 0.18/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(dsetconstrEL_type,type,
% 0.18/0.46 dsetconstrEL: $o ).
% 0.18/0.46
% 0.18/0.46 thf(dsetconstrEL,definition,
% 0.18/0.46 ( dsetconstrEL
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx
% 0.18/0.46 @ ( dsetconstr @ A
% 0.18/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.18/0.46 => ( in @ Xx @ A ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(dsetconstrER_type,type,
% 0.18/0.46 dsetconstrER: $o ).
% 0.18/0.46
% 0.18/0.46 thf(dsetconstrER,definition,
% 0.18/0.46 ( dsetconstrER
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx
% 0.18/0.46 @ ( dsetconstr @ A
% 0.18/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.18/0.46 => ( Xphi @ Xx ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(exuE1_type,type,
% 0.18/0.46 exuE1: $o ).
% 0.18/0.46
% 0.18/0.46 thf(exuE1,definition,
% 0.18/0.46 ( exuE1
% 0.18/0.46 = ( ! [Xphi: $i > $o] :
% 0.18/0.46 ( ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 => ? [Xx: $i] :
% 0.18/0.46 ( ( Xphi @ Xx )
% 0.18/0.46 & ! [Xy: $i] :
% 0.18/0.46 ( ( Xphi @ Xy )
% 0.18/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(prop2set_type,type,
% 0.18/0.46 prop2set: $o > $i ).
% 0.18/0.46
% 0.18/0.46 thf(prop2setE_type,type,
% 0.18/0.46 prop2setE: $o ).
% 0.18/0.46
% 0.18/0.46 thf(prop2setE,definition,
% 0.18/0.46 ( prop2setE
% 0.18/0.46 = ( ! [Xphi: $o,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.18/0.46 => Xphi ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptysetE_type,type,
% 0.18/0.46 emptysetE: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptysetE,definition,
% 0.18/0.46 ( emptysetE
% 0.18/0.46 = ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ emptyset )
% 0.18/0.46 => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptysetimpfalse_type,type,
% 0.18/0.46 emptysetimpfalse: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptysetimpfalse,definition,
% 0.18/0.46 ( emptysetimpfalse
% 0.18/0.46 = ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ emptyset )
% 0.18/0.46 => $false ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(notinemptyset_type,type,
% 0.18/0.46 notinemptyset: $o ).
% 0.18/0.46
% 0.18/0.46 thf(notinemptyset,definition,
% 0.18/0.46 ( notinemptyset
% 0.18/0.46 = ( ! [Xx: $i] :
% 0.18/0.46 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(exuE3e_type,type,
% 0.18/0.46 exuE3e: $o ).
% 0.18/0.46
% 0.18/0.46 thf(exuE3e,definition,
% 0.18/0.46 ( exuE3e
% 0.18/0.46 = ( ! [Xphi: $i > $o] :
% 0.18/0.46 ( ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setext_type,type,
% 0.18/0.46 setext: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setext,definition,
% 0.18/0.46 ( setext
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( in @ Xx @ B ) )
% 0.18/0.46 => ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ B )
% 0.18/0.46 => ( in @ Xx @ A ) )
% 0.18/0.46 => ( A = B ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptyI_type,type,
% 0.18/0.46 emptyI: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptyI,definition,
% 0.18/0.46 ( emptyI
% 0.18/0.46 = ( ! [A: $i] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ~ ( in @ Xx @ A )
% 0.18/0.46 => ( A = emptyset ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(noeltsimpempty_type,type,
% 0.18/0.46 noeltsimpempty: $o ).
% 0.18/0.46
% 0.18/0.46 thf(noeltsimpempty,definition,
% 0.18/0.46 ( noeltsimpempty
% 0.18/0.46 = ( ! [A: $i] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ~ ( in @ Xx @ A )
% 0.18/0.46 => ( A = emptyset ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setbeta_type,type,
% 0.18/0.46 setbeta: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setbeta,definition,
% 0.18/0.46 ( setbeta
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( ( in @ Xx
% 0.18/0.46 @ ( dsetconstr @ A
% 0.18/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.18/0.46 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(nonempty_type,type,
% 0.18/0.46 nonempty: $i > $o ).
% 0.18/0.46
% 0.18/0.46 thf(nonempty,definition,
% 0.18/0.46 ( nonempty
% 0.18/0.46 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(nonemptyE1_type,type,
% 0.18/0.46 nonemptyE1: $o ).
% 0.18/0.46
% 0.18/0.46 thf(nonemptyE1,definition,
% 0.18/0.46 ( nonemptyE1
% 0.18/0.46 = ( ! [A: $i] :
% 0.18/0.46 ( ( nonempty @ A )
% 0.18/0.46 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(nonemptyI_type,type,
% 0.18/0.46 nonemptyI: $o ).
% 0.18/0.46
% 0.18/0.46 thf(nonemptyI,definition,
% 0.18/0.46 ( nonemptyI
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( ( Xphi @ Xx )
% 0.18/0.46 => ( nonempty
% 0.18/0.46 @ ( dsetconstr @ A
% 0.18/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(nonemptyI1_type,type,
% 0.18/0.46 nonemptyI1: $o ).
% 0.18/0.46
% 0.18/0.46 thf(nonemptyI1,definition,
% 0.18/0.46 ( nonemptyI1
% 0.18/0.46 = ( ! [A: $i] :
% 0.18/0.46 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.18/0.46 => ( nonempty @ A ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinIL_type,type,
% 0.18/0.46 setadjoinIL: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinIL,definition,
% 0.18/0.46 ( setadjoinIL
% 0.18/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptyinunitempty_type,type,
% 0.18/0.46 emptyinunitempty: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptyinunitempty,definition,
% 0.18/0.46 ( emptyinunitempty
% 0.18/0.46 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinIR_type,type,
% 0.18/0.46 setadjoinIR: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinIR,definition,
% 0.18/0.46 ( setadjoinIR
% 0.18/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.46 ( ( in @ Xy @ A )
% 0.18/0.46 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinE_type,type,
% 0.18/0.46 setadjoinE: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinE,definition,
% 0.18/0.46 ( setadjoinE
% 0.18/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.18/0.46 => ! [Xphi: $o] :
% 0.18/0.46 ( ( ( Xy = Xx )
% 0.18/0.46 => Xphi )
% 0.18/0.46 => ( ( ( in @ Xy @ A )
% 0.18/0.46 => Xphi )
% 0.18/0.46 => Xphi ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinOr_type,type,
% 0.18/0.46 setadjoinOr: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinOr,definition,
% 0.18/0.46 ( setadjoinOr
% 0.18/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.18/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.18/0.46 => ( ( Xy = Xx )
% 0.18/0.46 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setoftrueEq_type,type,
% 0.18/0.46 setoftrueEq: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setoftrueEq,definition,
% 0.18/0.46 ( setoftrueEq
% 0.18/0.46 = ( ! [A: $i] :
% 0.18/0.46 ( ( dsetconstr @ A
% 0.18/0.46 @ ^ [Xx: $i] : $true )
% 0.18/0.46 = A ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(powersetI_type,type,
% 0.18/0.46 powersetI: $o ).
% 0.18/0.46
% 0.18/0.46 thf(powersetI,definition,
% 0.18/0.46 ( powersetI
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ B )
% 0.18/0.46 => ( in @ Xx @ A ) )
% 0.18/0.46 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptyinPowerset_type,type,
% 0.18/0.46 emptyinPowerset: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptyinPowerset,definition,
% 0.18/0.46 ( emptyinPowerset
% 0.18/0.46 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptyInPowerset_type,type,
% 0.18/0.46 emptyInPowerset: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptyInPowerset,definition,
% 0.18/0.46 ( emptyInPowerset
% 0.18/0.46 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(powersetE_type,type,
% 0.18/0.46 powersetE: $o ).
% 0.18/0.46
% 0.18/0.46 thf(powersetE,definition,
% 0.18/0.46 ( powersetE
% 0.18/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.46 ( ( in @ B @ ( powerset @ A ) )
% 0.18/0.46 => ( ( in @ Xx @ B )
% 0.18/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setunionI_type,type,
% 0.18/0.46 setunionI: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setunionI,definition,
% 0.18/0.46 ( setunionI
% 0.18/0.46 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.18/0.46 ( ( in @ Xx @ B )
% 0.18/0.46 => ( ( in @ B @ A )
% 0.18/0.46 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setunionE_type,type,
% 0.18/0.46 setunionE: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setunionE,definition,
% 0.18/0.46 ( setunionE
% 0.18/0.46 = ( ! [A: $i,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ ( setunion @ A ) )
% 0.18/0.46 => ! [Xphi: $o] :
% 0.18/0.46 ( ! [B: $i] :
% 0.18/0.46 ( ( in @ Xx @ B )
% 0.18/0.46 => ( ( in @ B @ A )
% 0.18/0.46 => Xphi ) )
% 0.18/0.46 => Xphi ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(subPowSU_type,type,
% 0.18/0.46 subPowSU: $o ).
% 0.18/0.46
% 0.18/0.46 thf(subPowSU,definition,
% 0.18/0.46 ( subPowSU
% 0.18/0.46 = ( ! [A: $i,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(exuE2_type,type,
% 0.18/0.46 exuE2: $o ).
% 0.18/0.46
% 0.18/0.46 thf(exuE2,definition,
% 0.18/0.46 ( exuE2
% 0.18/0.46 = ( ! [Xphi: $i > $o] :
% 0.18/0.46 ( ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 => ? [Xx: $i] :
% 0.18/0.46 ! [Xy: $i] :
% 0.18/0.46 ( ( Xphi @ Xy )
% 0.18/0.46 <=> ( Xy = Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(nonemptyImpWitness_type,type,
% 0.18/0.46 nonemptyImpWitness: $o ).
% 0.18/0.46
% 0.18/0.46 thf(nonemptyImpWitness,definition,
% 0.18/0.46 ( nonemptyImpWitness
% 0.18/0.46 = ( ! [A: $i] :
% 0.18/0.46 ( ( nonempty @ A )
% 0.18/0.46 => ? [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 & $true ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(uniqinunit_type,type,
% 0.18/0.46 uniqinunit: $o ).
% 0.18/0.46
% 0.18/0.46 thf(uniqinunit,definition,
% 0.18/0.46 ( uniqinunit
% 0.18/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.18/0.46 => ( Xx = Xy ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(notinsingleton_type,type,
% 0.18/0.46 notinsingleton: $o ).
% 0.18/0.46
% 0.18/0.46 thf(notinsingleton,definition,
% 0.18/0.46 ( notinsingleton
% 0.18/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xx != Xy )
% 0.18/0.46 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(eqinunit_type,type,
% 0.18/0.46 eqinunit: $o ).
% 0.18/0.46
% 0.18/0.46 thf(eqinunit,definition,
% 0.18/0.46 ( eqinunit
% 0.18/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xx = Xy )
% 0.18/0.46 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(singletonsswitch_type,type,
% 0.18/0.46 singletonsswitch: $o ).
% 0.18/0.46
% 0.18/0.46 thf(singletonsswitch,definition,
% 0.18/0.46 ( singletonsswitch
% 0.18/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.18/0.46 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(upairsetE_type,type,
% 0.18/0.46 upairsetE: $o ).
% 0.18/0.46
% 0.18/0.46 thf(upairsetE,definition,
% 0.18/0.46 ( upairsetE
% 0.18/0.46 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.18/0.46 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.18/0.46 => ( ( Xz = Xx )
% 0.18/0.46 | ( Xz = Xy ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(upairsetIL_type,type,
% 0.18/0.46 upairsetIL: $o ).
% 0.18/0.46
% 0.18/0.46 thf(upairsetIL,definition,
% 0.18/0.46 ( upairsetIL
% 0.18/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(upairsetIR_type,type,
% 0.18/0.46 upairsetIR: $o ).
% 0.18/0.46
% 0.18/0.46 thf(upairsetIR,definition,
% 0.18/0.46 ( upairsetIR
% 0.18/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptyE1_type,type,
% 0.18/0.46 emptyE1: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptyE1,definition,
% 0.18/0.46 ( emptyE1
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.46 ( ? [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 & ( Xphi @ Xx ) )
% 0.18/0.46 => ( ( ( dsetconstr @ A
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 = emptyset )
% 0.18/0.46 => $false ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(vacuousDall_type,type,
% 0.18/0.46 vacuousDall: $o ).
% 0.18/0.46
% 0.18/0.46 thf(vacuousDall,definition,
% 0.18/0.46 ( vacuousDall
% 0.18/0.46 = ( ! [Xphi: $i > $o,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ emptyset )
% 0.18/0.46 => ( Xphi @ Xx ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(quantDeMorgan1_type,type,
% 0.18/0.46 quantDeMorgan1: $o ).
% 0.18/0.46
% 0.18/0.46 thf(quantDeMorgan1,definition,
% 0.18/0.46 ( quantDeMorgan1
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.46 ( ~ ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( Xphi @ Xx ) )
% 0.18/0.46 => ? [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(quantDeMorgan2_type,type,
% 0.18/0.46 quantDeMorgan2: $o ).
% 0.18/0.46
% 0.18/0.46 thf(quantDeMorgan2,definition,
% 0.18/0.46 ( quantDeMorgan2
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ~ ( Xphi @ Xx ) )
% 0.18/0.46 => ~ ? [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 & ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(quantDeMorgan3_type,type,
% 0.18/0.46 quantDeMorgan3: $o ).
% 0.18/0.46
% 0.18/0.46 thf(quantDeMorgan3,definition,
% 0.18/0.46 ( quantDeMorgan3
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.46 ( ~ ? [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 & ( Xphi @ Xx ) )
% 0.18/0.46 => ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(quantDeMorgan4_type,type,
% 0.18/0.46 quantDeMorgan4: $o ).
% 0.18/0.46
% 0.18/0.46 thf(quantDeMorgan4,definition,
% 0.18/0.46 ( quantDeMorgan4
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.46 ( ? [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 & ~ ( Xphi @ Xx ) )
% 0.18/0.46 => ~ ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(prop2setI_type,type,
% 0.18/0.46 prop2setI: $o ).
% 0.18/0.46
% 0.18/0.46 thf(prop2setI,definition,
% 0.18/0.46 ( prop2setI
% 0.18/0.46 = ( ! [Xphi: $o] :
% 0.18/0.46 ( Xphi
% 0.18/0.46 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(set2prop_type,type,
% 0.18/0.46 set2prop: $i > $o ).
% 0.18/0.46
% 0.18/0.46 thf(prop2set2propI_type,type,
% 0.18/0.46 prop2set2propI: $o ).
% 0.18/0.46
% 0.18/0.46 thf(prop2set2propI,definition,
% 0.18/0.46 ( prop2set2propI
% 0.18/0.46 = ( ! [Xphi: $o] :
% 0.18/0.46 ( Xphi
% 0.18/0.46 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(notdexE_type,type,
% 0.18/0.46 notdexE: $o ).
% 0.18/0.46
% 0.18/0.46 thf(notdexE,definition,
% 0.18/0.46 ( notdexE
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.46 ( ~ ? [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 & ( Xphi @ Xx ) )
% 0.18/0.46 => ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(notdallE_type,type,
% 0.18/0.46 notdallE: $o ).
% 0.18/0.46
% 0.18/0.46 thf(notdallE,definition,
% 0.18/0.46 ( notdallE
% 0.18/0.46 = ( ! [A: $i,Xphi: $i > $o] :
% 0.18/0.46 ( ~ ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( Xphi @ Xx ) )
% 0.18/0.46 => ? [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(exuI1_type,type,
% 0.18/0.46 exuI1: $o ).
% 0.18/0.46
% 0.18/0.46 thf(exuI1,definition,
% 0.18/0.46 ( exuI1
% 0.18/0.46 = ( ! [Xphi: $i > $o] :
% 0.18/0.46 ( ? [Xx: $i] :
% 0.18/0.46 ( ( Xphi @ Xx )
% 0.18/0.46 & ! [Xy: $i] :
% 0.18/0.46 ( ( Xphi @ Xy )
% 0.18/0.46 => ( Xx = Xy ) ) )
% 0.18/0.46 => ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(exuI3_type,type,
% 0.18/0.46 exuI3: $o ).
% 0.18/0.46
% 0.18/0.46 thf(exuI3,definition,
% 0.18/0.46 ( exuI3
% 0.18/0.46 = ( ! [Xphi: $i > $o] :
% 0.18/0.46 ( ? [Xx: $i] : ( Xphi @ Xx )
% 0.18/0.46 => ( ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xphi @ Xx )
% 0.18/0.46 => ( ( Xphi @ Xy )
% 0.18/0.46 => ( Xx = Xy ) ) )
% 0.18/0.46 => ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(exuI2_type,type,
% 0.18/0.46 exuI2: $o ).
% 0.18/0.46
% 0.18/0.46 thf(exuI2,definition,
% 0.18/0.46 ( exuI2
% 0.18/0.46 = ( ! [Xphi: $i > $o] :
% 0.18/0.46 ( ? [Xx: $i] :
% 0.18/0.46 ! [Xy: $i] :
% 0.18/0.46 ( ( Xphi @ Xy )
% 0.18/0.46 <=> ( Xy = Xx ) )
% 0.18/0.46 => ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(inCongP_type,type,
% 0.18/0.46 inCongP: $o ).
% 0.18/0.46
% 0.18/0.46 thf(inCongP,definition,
% 0.18/0.46 ( inCongP
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ( A = B )
% 0.18/0.46 => ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xx = Xy )
% 0.18/0.46 => ( ( in @ Xx @ A )
% 0.18/0.46 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(in__Cong_type,type,
% 0.18/0.46 in__Cong: $o ).
% 0.18/0.46
% 0.18/0.46 thf(in__Cong,definition,
% 0.18/0.46 ( in__Cong
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ( A = B )
% 0.18/0.46 => ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xx = Xy )
% 0.18/0.46 => ( ( in @ Xx @ A )
% 0.18/0.46 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(exuE3u_type,type,
% 0.18/0.46 exuE3u: $o ).
% 0.18/0.46
% 0.18/0.46 thf(exuE3u,definition,
% 0.18/0.46 ( exuE3u
% 0.18/0.46 = ( ! [Xphi: $i > $o] :
% 0.18/0.46 ( ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 => ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xphi @ Xx )
% 0.18/0.46 => ( ( Xphi @ Xy )
% 0.18/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(exu__Cong_type,type,
% 0.18/0.46 exu__Cong: $o ).
% 0.18/0.46
% 0.18/0.46 thf(exu__Cong,definition,
% 0.18/0.46 ( exu__Cong
% 0.18/0.46 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.18/0.46 ( ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xx = Xy )
% 0.18/0.46 => ( ( Xphi @ Xx )
% 0.18/0.46 <=> ( Xpsi @ Xy ) ) )
% 0.18/0.46 => ( ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 <=> ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptyset__Cong_type,type,
% 0.18/0.46 emptyset__Cong: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptyset__Cong,definition,
% 0.18/0.46 ( emptyset__Cong
% 0.18/0.46 = ( emptyset = emptyset ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoin__Cong_type,type,
% 0.18/0.46 setadjoin__Cong: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoin__Cong,definition,
% 0.18/0.46 ( setadjoin__Cong
% 0.18/0.46 = ( ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xx = Xy )
% 0.18/0.46 => ! [Xz: $i,Xu: $i] :
% 0.18/0.46 ( ( Xz = Xu )
% 0.18/0.46 => ( ( setadjoin @ Xx @ Xz )
% 0.18/0.46 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(powerset__Cong_type,type,
% 0.18/0.46 powerset__Cong: $o ).
% 0.18/0.46
% 0.18/0.46 thf(powerset__Cong,definition,
% 0.18/0.46 ( powerset__Cong
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ( A = B )
% 0.18/0.46 => ( ( powerset @ A )
% 0.18/0.46 = ( powerset @ B ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setunion__Cong_type,type,
% 0.18/0.46 setunion__Cong: $o ).
% 0.18/0.46
% 0.18/0.46 thf(setunion__Cong,definition,
% 0.18/0.46 ( setunion__Cong
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ( A = B )
% 0.18/0.46 => ( ( setunion @ A )
% 0.18/0.46 = ( setunion @ B ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(omega__Cong_type,type,
% 0.18/0.46 omega__Cong: $o ).
% 0.18/0.46
% 0.18/0.46 thf(omega__Cong,definition,
% 0.18/0.46 ( omega__Cong
% 0.18/0.46 = ( omega = omega ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(exuEu_type,type,
% 0.18/0.46 exuEu: $o ).
% 0.18/0.46
% 0.18/0.46 thf(exuEu,definition,
% 0.18/0.46 ( exuEu
% 0.18/0.46 = ( ! [Xphi: $i > $o] :
% 0.18/0.46 ( ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 => ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xphi @ Xx )
% 0.18/0.46 => ( ( Xphi @ Xy )
% 0.18/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(descr__Cong_type,type,
% 0.18/0.46 descr__Cong: $o ).
% 0.18/0.46
% 0.18/0.46 thf(descr__Cong,definition,
% 0.18/0.46 ( descr__Cong
% 0.18/0.46 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.18/0.46 ( ! [Xx: $i,Xy: $i] :
% 0.18/0.46 ( ( Xx = Xy )
% 0.18/0.46 => ( ( Xphi @ Xx )
% 0.18/0.46 <=> ( Xpsi @ Xy ) ) )
% 0.18/0.46 => ( ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 => ( ( exu
% 0.18/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 0.18/0.46 => ( ( descr
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 = ( descr
% 0.18/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(dsetconstr__Cong_type,type,
% 0.18/0.46 dsetconstr__Cong: $o ).
% 0.18/0.46
% 0.18/0.46 thf(dsetconstr__Cong,definition,
% 0.18/0.46 ( dsetconstr__Cong
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ( A = B )
% 0.18/0.46 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ! [Xy: $i] :
% 0.18/0.46 ( ( in @ Xy @ B )
% 0.18/0.46 => ( ( Xx = Xy )
% 0.18/0.46 => ( ( Xphi @ Xx )
% 0.18/0.46 <=> ( Xpsi @ Xy ) ) ) ) )
% 0.18/0.46 => ( ( dsetconstr @ A
% 0.18/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.18/0.46 = ( dsetconstr @ B
% 0.18/0.46 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(subset_type,type,
% 0.18/0.46 subset: $i > $i > $o ).
% 0.18/0.46
% 0.18/0.46 thf(disjoint_type,type,
% 0.18/0.46 disjoint: $i > $i > $o ).
% 0.18/0.46
% 0.18/0.46 thf(setsmeet_type,type,
% 0.18/0.46 setsmeet: $i > $i > $o ).
% 0.18/0.46
% 0.18/0.46 thf(subsetI1_type,type,
% 0.18/0.46 subsetI1: $o ).
% 0.18/0.46
% 0.18/0.46 thf(subsetI1,definition,
% 0.18/0.46 ( subsetI1
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( in @ Xx @ B ) )
% 0.18/0.46 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(eqimpsubset2_type,type,
% 0.18/0.46 eqimpsubset2: $o ).
% 0.18/0.46
% 0.18/0.46 thf(eqimpsubset2,definition,
% 0.18/0.46 ( eqimpsubset2
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ( A = B )
% 0.18/0.46 => ( subset @ B @ A ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(eqimpsubset1_type,type,
% 0.18/0.46 eqimpsubset1: $o ).
% 0.18/0.46
% 0.18/0.46 thf(eqimpsubset1,definition,
% 0.18/0.46 ( eqimpsubset1
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ( A = B )
% 0.18/0.46 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(subsetI2_type,type,
% 0.18/0.46 subsetI2: $o ).
% 0.18/0.46
% 0.18/0.46 thf(subsetI2,definition,
% 0.18/0.46 ( subsetI2
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ! [Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( in @ Xx @ B ) )
% 0.18/0.46 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(emptysetsubset_type,type,
% 0.18/0.46 emptysetsubset: $o ).
% 0.18/0.46
% 0.18/0.46 thf(emptysetsubset,definition,
% 0.18/0.46 ( emptysetsubset
% 0.18/0.46 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(subsetE_type,type,
% 0.18/0.46 subsetE: $o ).
% 0.18/0.46
% 0.18/0.46 thf(subsetE,definition,
% 0.18/0.46 ( subsetE
% 0.18/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.46 ( ( subset @ A @ B )
% 0.18/0.46 => ( ( in @ Xx @ A )
% 0.18/0.46 => ( in @ Xx @ B ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(subsetE2_type,type,
% 0.18/0.46 subsetE2: $o ).
% 0.18/0.46
% 0.18/0.46 thf(subsetE2,definition,
% 0.18/0.46 ( subsetE2
% 0.18/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.46 ( ( subset @ A @ B )
% 0.18/0.46 => ( ~ ( in @ Xx @ B )
% 0.18/0.46 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(notsubsetI_type,type,
% 0.18/0.46 notsubsetI: $o ).
% 0.18/0.46
% 0.18/0.46 thf(notsubsetI,definition,
% 0.18/0.46 ( notsubsetI
% 0.18/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( ~ ( in @ Xx @ B )
% 0.18/0.46 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(notequalI1_type,type,
% 0.18/0.46 notequalI1: $o ).
% 0.18/0.46
% 0.18/0.46 thf(notequalI1,definition,
% 0.18/0.46 ( notequalI1
% 0.18/0.46 = ( ! [A: $i,B: $i] :
% 0.18/0.46 ( ~ ( subset @ A @ B )
% 0.18/0.46 => ( A != B ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(notequalI2_type,type,
% 0.18/0.46 notequalI2: $o ).
% 0.18/0.46
% 0.18/0.46 thf(notequalI2,definition,
% 0.18/0.46 ( notequalI2
% 0.18/0.46 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.46 ( ( in @ Xx @ A )
% 0.18/0.46 => ( ~ ( in @ Xx @ B )
% 0.18/0.46 => ( A != B ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(subsetRefl_type,type,
% 0.18/0.46 subsetRefl: $o ).
% 0.18/0.46
% 0.18/0.46 thf(subsetRefl,definition,
% 0.18/0.46 ( subsetRefl
% 0.18/0.46 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(subsetTrans_type,type,
% 0.18/0.46 subsetTrans: $o ).
% 0.18/0.46
% 0.18/0.46 thf(subsetTrans,definition,
% 0.18/0.46 ( subsetTrans
% 0.18/0.46 = ( ! [A: $i,B: $i,C: $i] :
% 0.18/0.46 ( ( subset @ A @ B )
% 0.18/0.46 => ( ( subset @ B @ C )
% 0.18/0.46 => ( subset @ A @ C ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 thf(setadjoinSub,conjecture,
% 0.18/0.46 ( setextAx
% 0.18/0.46 => ( emptysetAx
% 0.18/0.46 => ( setadjoinAx
% 0.18/0.46 => ( powersetAx
% 0.18/0.46 => ( setunionAx
% 0.18/0.46 => ( omega0Ax
% 0.18/0.46 => ( omegaSAx
% 0.18/0.46 => ( omegaIndAx
% 0.18/0.46 => ( replAx
% 0.18/0.46 => ( foundationAx
% 0.18/0.46 => ( wellorderingAx
% 0.18/0.46 => ( descrp
% 0.18/0.46 => ( dsetconstrI
% 0.18/0.46 => ( dsetconstrEL
% 0.18/0.46 => ( dsetconstrER
% 0.18/0.46 => ( exuE1
% 0.18/0.46 => ( prop2setE
% 0.18/0.46 => ( emptysetE
% 0.18/0.46 => ( emptysetimpfalse
% 0.18/0.46 => ( notinemptyset
% 0.18/0.46 => ( exuE3e
% 0.18/0.46 => ( setext
% 0.18/0.46 => ( emptyI
% 0.18/0.46 => ( noeltsimpempty
% 0.18/0.46 => ( setbeta
% 0.18/0.46 => ( nonemptyE1
% 0.18/0.46 => ( nonemptyI
% 0.18/0.46 => ( nonemptyI1
% 0.18/0.46 => ( setadjoinIL
% 0.18/0.46 => ( emptyinunitempty
% 0.18/0.46 => ( setadjoinIR
% 0.18/0.46 => ( setadjoinE
% 0.18/0.46 => ( setadjoinOr
% 0.18/0.46 => ( setoftrueEq
% 0.18/0.46 => ( powersetI
% 0.18/0.46 => ( emptyinPowerset
% 0.18/0.46 => ( emptyInPowerset
% 0.18/0.46 => ( powersetE
% 0.18/0.46 => ( setunionI
% 0.18/0.46 => ( setunionE
% 0.18/0.46 => ( subPowSU
% 0.18/0.46 => ( exuE2
% 0.18/0.46 => ( nonemptyImpWitness
% 0.18/0.46 => ( uniqinunit
% 0.18/0.46 => ( notinsingleton
% 0.18/0.46 => ( eqinunit
% 0.18/0.46 => ( singletonsswitch
% 0.18/0.46 => ( upairsetE
% 0.18/0.46 => ( upairsetIL
% 0.18/0.46 => ( upairsetIR
% 0.18/0.46 => ( emptyE1
% 0.18/0.46 => ( vacuousDall
% 0.18/0.46 => ( quantDeMorgan1
% 0.18/0.46 => ( quantDeMorgan2
% 0.18/0.46 => ( quantDeMorgan3
% 0.18/0.46 => ( quantDeMorgan4
% 0.18/0.46 => ( prop2setI
% 0.18/0.46 => ( prop2set2propI
% 0.18/0.46 => ( notdexE
% 0.18/0.46 => ( notdallE
% 0.18/0.46 => ( exuI1
% 0.18/0.46 => ( exuI3
% 0.18/0.46 => ( exuI2
% 0.18/0.46 => ( inCongP
% 0.18/0.46 => ( in__Cong
% 0.18/0.46 => ( exuE3u
% 0.18/0.46 => ( exu__Cong
% 0.18/0.46 => ( emptyset__Cong
% 0.18/0.46 => ( setadjoin__Cong
% 0.18/0.46 => ( powerset__Cong
% 0.18/0.46 => ( setunion__Cong
% 0.18/0.46 => ( omega__Cong
% 0.18/0.46 => ( exuEu
% 0.18/0.46 => ( descr__Cong
% 0.18/0.46 => ( dsetconstr__Cong
% 0.18/0.46 => ( subsetI1
% 0.18/0.46 => ( eqimpsubset2
% 0.18/0.46 => ( eqimpsubset1
% 0.18/0.46 => ( subsetI2
% 0.18/0.46 => ( emptysetsubset
% 0.18/0.46 => ( subsetE
% 0.18/0.46 => ( subsetE2
% 0.18/0.46 => ( notsubsetI
% 0.18/0.46 => ( notequalI1
% 0.18/0.46 => ( notequalI2
% 0.18/0.46 => ( subsetRefl
% 0.18/0.46 => ( subsetTrans
% 0.18/0.46 => ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 ------------------------
% 0.32/1.60 ---- Embedded in THF ---
% 0.32/1.60 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.32/1.60 %%% Generated on Tue Feb 24 12:26:39 EST 2026
% 0.32/1.60 %%% using '$$dhol' embedding, version 1.3.0.
% 0.32/1.60 %%% Logic specification used:
% 0.32/1.60 %%% thf(spec, logic, $$dhol).
% 0.32/1.60
% 0.32/1.60 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.gBFmTjZvT7/DTF2DTF27044.p
% See solution above
% 0.32/1.60 ------------------------
% 0.32/1.62 ---- Cleaned THF ---
% 0.32/1.62 thf(in_type,type,
% 0.32/1.62 in: $i > $i > $o ).
% 0.32/1.62
% 0.32/1.62 thf(exu_type,type,
% 0.32/1.62 exu: ( $i > $o ) > $o ).
% 0.32/1.62
% 0.32/1.62 thf(exu,definition,
% 0.32/1.62 ( exu
% 0.32/1.62 = ( ^ [Xphi: $i > $o] :
% 0.32/1.62 ? [Xx: $i] :
% 0.32/1.62 ( ( Xphi @ Xx )
% 0.32/1.62 & ! [Xy: $i] :
% 0.32/1.62 ( ( Xphi @ Xy )
% 0.32/1.62 => ( Xx = Xy ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(setextAx_type,type,
% 0.32/1.62 setextAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(setextAx,definition,
% 0.32/1.62 ( setextAx
% 0.32/1.62 = ( ! [A: $i,B: $i] :
% 0.32/1.62 ( ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ A )
% 0.32/1.62 <=> ( in @ Xx @ B ) )
% 0.32/1.62 => ( A = B ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(emptyset_type,type,
% 0.32/1.62 emptyset: $i ).
% 0.32/1.62
% 0.32/1.62 thf(emptysetAx_type,type,
% 0.32/1.62 emptysetAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(emptysetAx,definition,
% 0.32/1.62 ( emptysetAx
% 0.32/1.62 = ( ! [Xx: $i] :
% 0.32/1.62 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(setadjoin_type,type,
% 0.32/1.62 setadjoin: $i > $i > $i ).
% 0.32/1.62
% 0.32/1.62 thf(setadjoinAx_type,type,
% 0.32/1.62 setadjoinAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(setadjoinAx,definition,
% 0.32/1.62 ( setadjoinAx
% 0.32/1.62 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.32/1.62 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.32/1.62 <=> ( ( Xy = Xx )
% 0.32/1.62 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(powerset_type,type,
% 0.32/1.62 powerset: $i > $i ).
% 0.32/1.62
% 0.32/1.62 thf(powersetAx_type,type,
% 0.32/1.62 powersetAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(powersetAx,definition,
% 0.32/1.62 ( powersetAx
% 0.32/1.62 = ( ! [A: $i,B: $i] :
% 0.32/1.62 ( ( in @ B @ ( powerset @ A ) )
% 0.32/1.62 <=> ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ B )
% 0.32/1.62 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(setunion_type,type,
% 0.32/1.62 setunion: $i > $i ).
% 0.32/1.62
% 0.32/1.62 thf(setunionAx_type,type,
% 0.32/1.62 setunionAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(setunionAx,definition,
% 0.32/1.62 ( setunionAx
% 0.32/1.62 = ( ! [A: $i,Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ ( setunion @ A ) )
% 0.32/1.62 <=> ? [B: $i] :
% 0.32/1.62 ( ( in @ Xx @ B )
% 0.32/1.62 & ( in @ B @ A ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(omega_type,type,
% 0.32/1.62 omega: $i ).
% 0.32/1.62
% 0.32/1.62 thf(omega0Ax_type,type,
% 0.32/1.62 omega0Ax: $o ).
% 0.32/1.62
% 0.32/1.62 thf(omega0Ax,definition,
% 0.32/1.62 ( omega0Ax
% 0.32/1.62 = ( in @ emptyset @ omega ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(omegaSAx_type,type,
% 0.32/1.62 omegaSAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(omegaSAx,definition,
% 0.32/1.62 ( omegaSAx
% 0.32/1.62 = ( ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ omega )
% 0.32/1.62 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(omegaIndAx_type,type,
% 0.32/1.62 omegaIndAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(omegaIndAx,definition,
% 0.32/1.62 ( omegaIndAx
% 0.32/1.62 = ( ! [A: $i] :
% 0.32/1.62 ( ( ( in @ emptyset @ A )
% 0.32/1.62 & ! [Xx: $i] :
% 0.32/1.62 ( ( ( in @ Xx @ omega )
% 0.32/1.62 & ( in @ Xx @ A ) )
% 0.32/1.62 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.32/1.62 => ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ omega )
% 0.32/1.62 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(replAx_type,type,
% 0.32/1.62 replAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(replAx,definition,
% 0.32/1.62 ( replAx
% 0.32/1.62 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.32/1.62 ( ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ A )
% 0.32/1.62 => ( exu
% 0.32/1.62 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.32/1.62 => ? [B: $i] :
% 0.32/1.62 ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ B )
% 0.32/1.62 <=> ? [Xy: $i] :
% 0.32/1.62 ( ( in @ Xy @ A )
% 0.32/1.62 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(foundationAx_type,type,
% 0.32/1.62 foundationAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(foundationAx,definition,
% 0.32/1.62 ( foundationAx
% 0.32/1.62 = ( ! [A: $i] :
% 0.32/1.62 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.32/1.62 => ? [B: $i] :
% 0.32/1.62 ( ( in @ B @ A )
% 0.32/1.62 & ~ ? [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ B )
% 0.32/1.62 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(wellorderingAx_type,type,
% 0.32/1.62 wellorderingAx: $o ).
% 0.32/1.62
% 0.32/1.62 thf(wellorderingAx,definition,
% 0.32/1.62 ( wellorderingAx
% 0.32/1.62 = ( ! [A: $i] :
% 0.32/1.62 ? [B: $i] :
% 0.32/1.62 ( ! [C: $i] :
% 0.32/1.62 ( ( in @ C @ B )
% 0.32/1.62 => ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ C )
% 0.32/1.62 => ( in @ Xx @ A ) ) )
% 0.32/1.62 & ! [Xx: $i,Xy: $i] :
% 0.32/1.62 ( ( ( in @ Xx @ A )
% 0.32/1.62 & ( in @ Xy @ A ) )
% 0.32/1.62 => ( ! [C: $i] :
% 0.32/1.62 ( ( in @ C @ B )
% 0.32/1.62 => ( ( in @ Xx @ C )
% 0.32/1.62 <=> ( in @ Xy @ C ) ) )
% 0.32/1.62 => ( Xx = Xy ) ) )
% 0.32/1.62 & ! [C: $i,D: $i] :
% 0.32/1.62 ( ( ( in @ C @ B )
% 0.32/1.62 & ( in @ D @ B ) )
% 0.32/1.62 => ( ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ C )
% 0.32/1.62 => ( in @ Xx @ D ) )
% 0.32/1.62 | ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ D )
% 0.32/1.62 => ( in @ Xx @ C ) ) ) )
% 0.32/1.62 & ! [C: $i] :
% 0.32/1.62 ( ( ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ C )
% 0.32/1.62 => ( in @ Xx @ A ) )
% 0.32/1.62 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.32/1.62 => ? [D: $i,Xx: $i] :
% 0.32/1.62 ( ( in @ D @ B )
% 0.32/1.62 & ( in @ Xx @ C )
% 0.32/1.62 & ~ ? [Xy: $i] :
% 0.32/1.62 ( ( in @ Xy @ D )
% 0.32/1.62 & ( in @ Xy @ C ) )
% 0.32/1.62 & ! [E: $i] :
% 0.32/1.62 ( ( in @ E @ B )
% 0.32/1.62 => ( ! [Xy: $i] :
% 0.32/1.62 ( ( in @ Xy @ E )
% 0.32/1.62 => ( in @ Xy @ D ) )
% 0.32/1.62 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(descr_type,type,
% 0.32/1.62 descr: ( $i > $o ) > $i ).
% 0.32/1.62
% 0.32/1.62 thf(descrp_type,type,
% 0.32/1.62 descrp: $o ).
% 0.32/1.62
% 0.32/1.62 thf(descrp,definition,
% 0.32/1.62 ( descrp
% 0.32/1.62 = ( ! [Xphi: $i > $o] :
% 0.32/1.62 ( ( exu
% 0.32/1.62 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.62 => ( Xphi
% 0.32/1.62 @ ( descr
% 0.32/1.62 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(dsetconstr_type,type,
% 0.32/1.62 dsetconstr: $i > ( $i > $o ) > $i ).
% 0.32/1.62
% 0.32/1.62 thf(dsetconstrI_type,type,
% 0.32/1.62 dsetconstrI: $o ).
% 0.32/1.62
% 0.32/1.62 thf(dsetconstrI,definition,
% 0.32/1.62 ( dsetconstrI
% 0.32/1.62 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ A )
% 0.32/1.62 => ( ( Xphi @ Xx )
% 0.32/1.62 => ( in @ Xx
% 0.32/1.62 @ ( dsetconstr @ A
% 0.32/1.62 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(dsetconstrEL_type,type,
% 0.32/1.62 dsetconstrEL: $o ).
% 0.32/1.62
% 0.32/1.62 thf(dsetconstrEL,definition,
% 0.32/1.62 ( dsetconstrEL
% 0.32/1.62 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.32/1.62 ( ( in @ Xx
% 0.32/1.62 @ ( dsetconstr @ A
% 0.32/1.62 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.32/1.62 => ( in @ Xx @ A ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(dsetconstrER_type,type,
% 0.32/1.62 dsetconstrER: $o ).
% 0.32/1.62
% 0.32/1.62 thf(dsetconstrER,definition,
% 0.32/1.62 ( dsetconstrER
% 0.32/1.62 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.32/1.62 ( ( in @ Xx
% 0.32/1.62 @ ( dsetconstr @ A
% 0.32/1.62 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.32/1.62 => ( Xphi @ Xx ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(exuE1_type,type,
% 0.32/1.62 exuE1: $o ).
% 0.32/1.62
% 0.32/1.62 thf(exuE1,definition,
% 0.32/1.62 ( exuE1
% 0.32/1.62 = ( ! [Xphi: $i > $o] :
% 0.32/1.62 ( ( exu
% 0.32/1.62 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.62 => ? [Xx: $i] :
% 0.32/1.62 ( ( Xphi @ Xx )
% 0.32/1.62 & ! [Xy: $i] :
% 0.32/1.62 ( ( Xphi @ Xy )
% 0.32/1.62 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(prop2set_type,type,
% 0.32/1.62 prop2set: $o > $i ).
% 0.32/1.62
% 0.32/1.62 thf(prop2setE_type,type,
% 0.32/1.62 prop2setE: $o ).
% 0.32/1.62
% 0.32/1.62 thf(prop2setE,definition,
% 0.32/1.62 ( prop2setE
% 0.32/1.62 = ( ! [Xphi: $o,Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.32/1.62 => Xphi ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(emptysetE_type,type,
% 0.32/1.62 emptysetE: $o ).
% 0.32/1.62
% 0.32/1.62 thf(emptysetE,definition,
% 0.32/1.62 ( emptysetE
% 0.32/1.62 = ( ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ emptyset )
% 0.32/1.62 => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(emptysetimpfalse_type,type,
% 0.32/1.62 emptysetimpfalse: $o ).
% 0.32/1.62
% 0.32/1.62 thf(emptysetimpfalse,definition,
% 0.32/1.62 ( emptysetimpfalse
% 0.32/1.62 = ( ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ emptyset )
% 0.32/1.62 => $false ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(notinemptyset_type,type,
% 0.32/1.62 notinemptyset: $o ).
% 0.32/1.62
% 0.32/1.62 thf(notinemptyset,definition,
% 0.32/1.62 ( notinemptyset
% 0.32/1.62 = ( ! [Xx: $i] :
% 0.32/1.62 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(exuE3e_type,type,
% 0.32/1.62 exuE3e: $o ).
% 0.32/1.62
% 0.32/1.62 thf(exuE3e,definition,
% 0.32/1.62 ( exuE3e
% 0.32/1.62 = ( ! [Xphi: $i > $o] :
% 0.32/1.62 ( ( exu
% 0.32/1.62 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.62 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(setext_type,type,
% 0.32/1.62 setext: $o ).
% 0.32/1.62
% 0.32/1.62 thf(setext,definition,
% 0.32/1.62 ( setext
% 0.32/1.62 = ( ! [A: $i,B: $i] :
% 0.32/1.62 ( ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ A )
% 0.32/1.62 => ( in @ Xx @ B ) )
% 0.32/1.62 => ( ! [Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ B )
% 0.32/1.62 => ( in @ Xx @ A ) )
% 0.32/1.62 => ( A = B ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(emptyI_type,type,
% 0.32/1.62 emptyI: $o ).
% 0.32/1.62
% 0.32/1.62 thf(emptyI,definition,
% 0.32/1.62 ( emptyI
% 0.32/1.62 = ( ! [A: $i] :
% 0.32/1.62 ( ! [Xx: $i] :
% 0.32/1.62 ~ ( in @ Xx @ A )
% 0.32/1.62 => ( A = emptyset ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(noeltsimpempty_type,type,
% 0.32/1.62 noeltsimpempty: $o ).
% 0.32/1.62
% 0.32/1.62 thf(noeltsimpempty,definition,
% 0.32/1.62 ( noeltsimpempty
% 0.32/1.62 = ( ! [A: $i] :
% 0.32/1.62 ( ! [Xx: $i] :
% 0.32/1.62 ~ ( in @ Xx @ A )
% 0.32/1.62 => ( A = emptyset ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(setbeta_type,type,
% 0.32/1.62 setbeta: $o ).
% 0.32/1.62
% 0.32/1.62 thf(setbeta,definition,
% 0.32/1.62 ( setbeta
% 0.32/1.62 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ A )
% 0.32/1.62 => ( ( in @ Xx
% 0.32/1.62 @ ( dsetconstr @ A
% 0.32/1.62 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.32/1.62 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(nonempty_type,type,
% 0.32/1.62 nonempty: $i > $o ).
% 0.32/1.62
% 0.32/1.62 thf(nonempty,definition,
% 0.32/1.62 ( nonempty
% 0.32/1.62 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(nonemptyE1_type,type,
% 0.32/1.62 nonemptyE1: $o ).
% 0.32/1.62
% 0.32/1.62 thf(nonemptyE1,definition,
% 0.32/1.62 ( nonemptyE1
% 0.32/1.62 = ( ! [A: $i] :
% 0.32/1.62 ( ( nonempty @ A )
% 0.32/1.62 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(nonemptyI_type,type,
% 0.32/1.62 nonemptyI: $o ).
% 0.32/1.62
% 0.32/1.62 thf(nonemptyI,definition,
% 0.32/1.62 ( nonemptyI
% 0.32/1.62 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.32/1.62 ( ( in @ Xx @ A )
% 0.32/1.62 => ( ( Xphi @ Xx )
% 0.32/1.62 => ( nonempty
% 0.32/1.62 @ ( dsetconstr @ A
% 0.32/1.62 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.32/1.62
% 0.32/1.62 thf(nonemptyI1_type,type,
% 0.32/1.62 nonemptyI1: $o ).
% 0.32/1.62
% 0.32/1.62 thf(nonemptyI1,definition,
% 0.32/1.62 ( nonemptyI1
% 0.32/1.62 = ( ! [A: $i] :
% 0.32/1.62 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.32/1.63 => ( nonempty @ A ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoinIL_type,type,
% 0.32/1.63 setadjoinIL: $o ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoinIL,definition,
% 0.32/1.63 ( setadjoinIL
% 0.32/1.63 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(emptyinunitempty_type,type,
% 0.32/1.63 emptyinunitempty: $o ).
% 0.32/1.63
% 0.32/1.63 thf(emptyinunitempty,definition,
% 0.32/1.63 ( emptyinunitempty
% 0.32/1.63 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoinIR_type,type,
% 0.32/1.63 setadjoinIR: $o ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoinIR,definition,
% 0.32/1.63 ( setadjoinIR
% 0.32/1.63 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.32/1.63 ( ( in @ Xy @ A )
% 0.32/1.63 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoinE_type,type,
% 0.32/1.63 setadjoinE: $o ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoinE,definition,
% 0.32/1.63 ( setadjoinE
% 0.32/1.63 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.32/1.63 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.32/1.63 => ! [Xphi: $o] :
% 0.32/1.63 ( ( ( Xy = Xx )
% 0.32/1.63 => Xphi )
% 0.32/1.63 => ( ( ( in @ Xy @ A )
% 0.32/1.63 => Xphi )
% 0.32/1.63 => Xphi ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoinOr_type,type,
% 0.32/1.63 setadjoinOr: $o ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoinOr,definition,
% 0.32/1.63 ( setadjoinOr
% 0.32/1.63 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.32/1.63 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.32/1.63 => ( ( Xy = Xx )
% 0.32/1.63 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setoftrueEq_type,type,
% 0.32/1.63 setoftrueEq: $o ).
% 0.32/1.63
% 0.32/1.63 thf(setoftrueEq,definition,
% 0.32/1.63 ( setoftrueEq
% 0.32/1.63 = ( ! [A: $i] :
% 0.32/1.63 ( ( dsetconstr @ A
% 0.32/1.63 @ ^ [Xx: $i] : $true )
% 0.32/1.63 = A ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(powersetI_type,type,
% 0.32/1.63 powersetI: $o ).
% 0.32/1.63
% 0.32/1.63 thf(powersetI,definition,
% 0.32/1.63 ( powersetI
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ B )
% 0.32/1.63 => ( in @ Xx @ A ) )
% 0.32/1.63 => ( in @ B @ ( powerset @ A ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(emptyinPowerset_type,type,
% 0.32/1.63 emptyinPowerset: $o ).
% 0.32/1.63
% 0.32/1.63 thf(emptyinPowerset,definition,
% 0.32/1.63 ( emptyinPowerset
% 0.32/1.63 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(emptyInPowerset_type,type,
% 0.32/1.63 emptyInPowerset: $o ).
% 0.32/1.63
% 0.32/1.63 thf(emptyInPowerset,definition,
% 0.32/1.63 ( emptyInPowerset
% 0.32/1.63 = ( ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(powersetE_type,type,
% 0.32/1.63 powersetE: $o ).
% 0.32/1.63
% 0.32/1.63 thf(powersetE,definition,
% 0.32/1.63 ( powersetE
% 0.32/1.63 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.32/1.63 ( ( in @ B @ ( powerset @ A ) )
% 0.32/1.63 => ( ( in @ Xx @ B )
% 0.32/1.63 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setunionI_type,type,
% 0.32/1.63 setunionI: $o ).
% 0.32/1.63
% 0.32/1.63 thf(setunionI,definition,
% 0.32/1.63 ( setunionI
% 0.32/1.63 = ( ! [A: $i,Xx: $i,B: $i] :
% 0.32/1.63 ( ( in @ Xx @ B )
% 0.32/1.63 => ( ( in @ B @ A )
% 0.32/1.63 => ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setunionE_type,type,
% 0.32/1.63 setunionE: $o ).
% 0.32/1.63
% 0.32/1.63 thf(setunionE,definition,
% 0.32/1.63 ( setunionE
% 0.32/1.63 = ( ! [A: $i,Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ ( setunion @ A ) )
% 0.32/1.63 => ! [Xphi: $o] :
% 0.32/1.63 ( ! [B: $i] :
% 0.32/1.63 ( ( in @ Xx @ B )
% 0.32/1.63 => ( ( in @ B @ A )
% 0.32/1.63 => Xphi ) )
% 0.32/1.63 => Xphi ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(subPowSU_type,type,
% 0.32/1.63 subPowSU: $o ).
% 0.32/1.63
% 0.32/1.63 thf(subPowSU,definition,
% 0.32/1.63 ( subPowSU
% 0.32/1.63 = ( ! [A: $i,Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(exuE2_type,type,
% 0.32/1.63 exuE2: $o ).
% 0.32/1.63
% 0.32/1.63 thf(exuE2,definition,
% 0.32/1.63 ( exuE2
% 0.32/1.63 = ( ! [Xphi: $i > $o] :
% 0.32/1.63 ( ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.63 => ? [Xx: $i] :
% 0.32/1.63 ! [Xy: $i] :
% 0.32/1.63 ( ( Xphi @ Xy )
% 0.32/1.63 <=> ( Xy = Xx ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(nonemptyImpWitness_type,type,
% 0.32/1.63 nonemptyImpWitness: $o ).
% 0.32/1.63
% 0.32/1.63 thf(nonemptyImpWitness,definition,
% 0.32/1.63 ( nonemptyImpWitness
% 0.32/1.63 = ( ! [A: $i] :
% 0.32/1.63 ( ( nonempty @ A )
% 0.32/1.63 => ? [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 & $true ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(uniqinunit_type,type,
% 0.32/1.63 uniqinunit: $o ).
% 0.32/1.63
% 0.32/1.63 thf(uniqinunit,definition,
% 0.32/1.63 ( uniqinunit
% 0.32/1.63 = ( ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.32/1.63 => ( Xx = Xy ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(notinsingleton_type,type,
% 0.32/1.63 notinsingleton: $o ).
% 0.32/1.63
% 0.32/1.63 thf(notinsingleton,definition,
% 0.32/1.63 ( notinsingleton
% 0.32/1.63 = ( ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xx != Xy )
% 0.32/1.63 => ~ ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(eqinunit_type,type,
% 0.32/1.63 eqinunit: $o ).
% 0.32/1.63
% 0.32/1.63 thf(eqinunit,definition,
% 0.32/1.63 ( eqinunit
% 0.32/1.63 = ( ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xx = Xy )
% 0.32/1.63 => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(singletonsswitch_type,type,
% 0.32/1.63 singletonsswitch: $o ).
% 0.32/1.63
% 0.32/1.63 thf(singletonsswitch,definition,
% 0.32/1.63 ( singletonsswitch
% 0.32/1.63 = ( ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
% 0.32/1.63 => ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(upairsetE_type,type,
% 0.32/1.63 upairsetE: $o ).
% 0.32/1.63
% 0.32/1.63 thf(upairsetE,definition,
% 0.32/1.63 ( upairsetE
% 0.32/1.63 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.32/1.63 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
% 0.32/1.63 => ( ( Xz = Xx )
% 0.32/1.63 | ( Xz = Xy ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(upairsetIL_type,type,
% 0.32/1.63 upairsetIL: $o ).
% 0.32/1.63
% 0.32/1.63 thf(upairsetIL,definition,
% 0.32/1.63 ( upairsetIL
% 0.32/1.63 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(upairsetIR_type,type,
% 0.32/1.63 upairsetIR: $o ).
% 0.32/1.63
% 0.32/1.63 thf(upairsetIR,definition,
% 0.32/1.63 ( upairsetIR
% 0.32/1.63 = ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(emptyE1_type,type,
% 0.32/1.63 emptyE1: $o ).
% 0.32/1.63
% 0.32/1.63 thf(emptyE1,definition,
% 0.32/1.63 ( emptyE1
% 0.32/1.63 = ( ! [A: $i,Xphi: $i > $o] :
% 0.32/1.63 ( ? [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 & ( Xphi @ Xx ) )
% 0.32/1.63 => ( ( ( dsetconstr @ A
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.63 = emptyset )
% 0.32/1.63 => $false ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(vacuousDall_type,type,
% 0.32/1.63 vacuousDall: $o ).
% 0.32/1.63
% 0.32/1.63 thf(vacuousDall,definition,
% 0.32/1.63 ( vacuousDall
% 0.32/1.63 = ( ! [Xphi: $i > $o,Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ emptyset )
% 0.32/1.63 => ( Xphi @ Xx ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(quantDeMorgan1_type,type,
% 0.32/1.63 quantDeMorgan1: $o ).
% 0.32/1.63
% 0.32/1.63 thf(quantDeMorgan1,definition,
% 0.32/1.63 ( quantDeMorgan1
% 0.32/1.63 = ( ! [A: $i,Xphi: $i > $o] :
% 0.32/1.63 ( ~ ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ( Xphi @ Xx ) )
% 0.32/1.63 => ? [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(quantDeMorgan2_type,type,
% 0.32/1.63 quantDeMorgan2: $o ).
% 0.32/1.63
% 0.32/1.63 thf(quantDeMorgan2,definition,
% 0.32/1.63 ( quantDeMorgan2
% 0.32/1.63 = ( ! [A: $i,Xphi: $i > $o] :
% 0.32/1.63 ( ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ~ ( Xphi @ Xx ) )
% 0.32/1.63 => ~ ? [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 & ( Xphi @ Xx ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(quantDeMorgan3_type,type,
% 0.32/1.63 quantDeMorgan3: $o ).
% 0.32/1.63
% 0.32/1.63 thf(quantDeMorgan3,definition,
% 0.32/1.63 ( quantDeMorgan3
% 0.32/1.63 = ( ! [A: $i,Xphi: $i > $o] :
% 0.32/1.63 ( ~ ? [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 & ( Xphi @ Xx ) )
% 0.32/1.63 => ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(quantDeMorgan4_type,type,
% 0.32/1.63 quantDeMorgan4: $o ).
% 0.32/1.63
% 0.32/1.63 thf(quantDeMorgan4,definition,
% 0.32/1.63 ( quantDeMorgan4
% 0.32/1.63 = ( ! [A: $i,Xphi: $i > $o] :
% 0.32/1.63 ( ? [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 & ~ ( Xphi @ Xx ) )
% 0.32/1.63 => ~ ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ( Xphi @ Xx ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(prop2setI_type,type,
% 0.32/1.63 prop2setI: $o ).
% 0.32/1.63
% 0.32/1.63 thf(prop2setI,definition,
% 0.32/1.63 ( prop2setI
% 0.32/1.63 = ( ! [Xphi: $o] :
% 0.32/1.63 ( Xphi
% 0.32/1.63 => ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(set2prop_type,type,
% 0.32/1.63 set2prop: $i > $o ).
% 0.32/1.63
% 0.32/1.63 thf(prop2set2propI_type,type,
% 0.32/1.63 prop2set2propI: $o ).
% 0.32/1.63
% 0.32/1.63 thf(prop2set2propI,definition,
% 0.32/1.63 ( prop2set2propI
% 0.32/1.63 = ( ! [Xphi: $o] :
% 0.32/1.63 ( Xphi
% 0.32/1.63 => ( set2prop @ ( prop2set @ Xphi ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(notdexE_type,type,
% 0.32/1.63 notdexE: $o ).
% 0.32/1.63
% 0.32/1.63 thf(notdexE,definition,
% 0.32/1.63 ( notdexE
% 0.32/1.63 = ( ! [A: $i,Xphi: $i > $o] :
% 0.32/1.63 ( ~ ? [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 & ( Xphi @ Xx ) )
% 0.32/1.63 => ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(notdallE_type,type,
% 0.32/1.63 notdallE: $o ).
% 0.32/1.63
% 0.32/1.63 thf(notdallE,definition,
% 0.32/1.63 ( notdallE
% 0.32/1.63 = ( ! [A: $i,Xphi: $i > $o] :
% 0.32/1.63 ( ~ ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ( Xphi @ Xx ) )
% 0.32/1.63 => ? [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 & ~ ( Xphi @ Xx ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(exuI1_type,type,
% 0.32/1.63 exuI1: $o ).
% 0.32/1.63
% 0.32/1.63 thf(exuI1,definition,
% 0.32/1.63 ( exuI1
% 0.32/1.63 = ( ! [Xphi: $i > $o] :
% 0.32/1.63 ( ? [Xx: $i] :
% 0.32/1.63 ( ( Xphi @ Xx )
% 0.32/1.63 & ! [Xy: $i] :
% 0.32/1.63 ( ( Xphi @ Xy )
% 0.32/1.63 => ( Xx = Xy ) ) )
% 0.32/1.63 => ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(exuI3_type,type,
% 0.32/1.63 exuI3: $o ).
% 0.32/1.63
% 0.32/1.63 thf(exuI3,definition,
% 0.32/1.63 ( exuI3
% 0.32/1.63 = ( ! [Xphi: $i > $o] :
% 0.32/1.63 ( ? [Xx: $i] : ( Xphi @ Xx )
% 0.32/1.63 => ( ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xphi @ Xx )
% 0.32/1.63 => ( ( Xphi @ Xy )
% 0.32/1.63 => ( Xx = Xy ) ) )
% 0.32/1.63 => ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(exuI2_type,type,
% 0.32/1.63 exuI2: $o ).
% 0.32/1.63
% 0.32/1.63 thf(exuI2,definition,
% 0.32/1.63 ( exuI2
% 0.32/1.63 = ( ! [Xphi: $i > $o] :
% 0.32/1.63 ( ? [Xx: $i] :
% 0.32/1.63 ! [Xy: $i] :
% 0.32/1.63 ( ( Xphi @ Xy )
% 0.32/1.63 <=> ( Xy = Xx ) )
% 0.32/1.63 => ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(inCongP_type,type,
% 0.32/1.63 inCongP: $o ).
% 0.32/1.63
% 0.32/1.63 thf(inCongP,definition,
% 0.32/1.63 ( inCongP
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ( A = B )
% 0.32/1.63 => ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xx = Xy )
% 0.32/1.63 => ( ( in @ Xx @ A )
% 0.32/1.63 => ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(in__Cong_type,type,
% 0.32/1.63 in__Cong: $o ).
% 0.32/1.63
% 0.32/1.63 thf(in__Cong,definition,
% 0.32/1.63 ( in__Cong
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ( A = B )
% 0.32/1.63 => ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xx = Xy )
% 0.32/1.63 => ( ( in @ Xx @ A )
% 0.32/1.63 <=> ( in @ Xy @ B ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(exuE3u_type,type,
% 0.32/1.63 exuE3u: $o ).
% 0.32/1.63
% 0.32/1.63 thf(exuE3u,definition,
% 0.32/1.63 ( exuE3u
% 0.32/1.63 = ( ! [Xphi: $i > $o] :
% 0.32/1.63 ( ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.63 => ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xphi @ Xx )
% 0.32/1.63 => ( ( Xphi @ Xy )
% 0.32/1.63 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(exu__Cong_type,type,
% 0.32/1.63 exu__Cong: $o ).
% 0.32/1.63
% 0.32/1.63 thf(exu__Cong,definition,
% 0.32/1.63 ( exu__Cong
% 0.32/1.63 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.32/1.63 ( ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xx = Xy )
% 0.32/1.63 => ( ( Xphi @ Xx )
% 0.32/1.63 <=> ( Xpsi @ Xy ) ) )
% 0.32/1.63 => ( ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.63 <=> ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(emptyset__Cong_type,type,
% 0.32/1.63 emptyset__Cong: $o ).
% 0.32/1.63
% 0.32/1.63 thf(emptyset__Cong,definition,
% 0.32/1.63 ( emptyset__Cong
% 0.32/1.63 = ( emptyset = emptyset ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoin__Cong_type,type,
% 0.32/1.63 setadjoin__Cong: $o ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoin__Cong,definition,
% 0.32/1.63 ( setadjoin__Cong
% 0.32/1.63 = ( ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xx = Xy )
% 0.32/1.63 => ! [Xz: $i,Xu: $i] :
% 0.32/1.63 ( ( Xz = Xu )
% 0.32/1.63 => ( ( setadjoin @ Xx @ Xz )
% 0.32/1.63 = ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(powerset__Cong_type,type,
% 0.32/1.63 powerset__Cong: $o ).
% 0.32/1.63
% 0.32/1.63 thf(powerset__Cong,definition,
% 0.32/1.63 ( powerset__Cong
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ( A = B )
% 0.32/1.63 => ( ( powerset @ A )
% 0.32/1.63 = ( powerset @ B ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setunion__Cong_type,type,
% 0.32/1.63 setunion__Cong: $o ).
% 0.32/1.63
% 0.32/1.63 thf(setunion__Cong,definition,
% 0.32/1.63 ( setunion__Cong
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ( A = B )
% 0.32/1.63 => ( ( setunion @ A )
% 0.32/1.63 = ( setunion @ B ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(omega__Cong_type,type,
% 0.32/1.63 omega__Cong: $o ).
% 0.32/1.63
% 0.32/1.63 thf(omega__Cong,definition,
% 0.32/1.63 ( omega__Cong
% 0.32/1.63 = ( omega = omega ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(exuEu_type,type,
% 0.32/1.63 exuEu: $o ).
% 0.32/1.63
% 0.32/1.63 thf(exuEu,definition,
% 0.32/1.63 ( exuEu
% 0.32/1.63 = ( ! [Xphi: $i > $o] :
% 0.32/1.63 ( ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.63 => ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xphi @ Xx )
% 0.32/1.63 => ( ( Xphi @ Xy )
% 0.32/1.63 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(descr__Cong_type,type,
% 0.32/1.63 descr__Cong: $o ).
% 0.32/1.63
% 0.32/1.63 thf(descr__Cong,definition,
% 0.32/1.63 ( descr__Cong
% 0.32/1.63 = ( ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.32/1.63 ( ! [Xx: $i,Xy: $i] :
% 0.32/1.63 ( ( Xx = Xy )
% 0.32/1.63 => ( ( Xphi @ Xx )
% 0.32/1.63 <=> ( Xpsi @ Xy ) ) )
% 0.32/1.63 => ( ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.63 => ( ( exu
% 0.32/1.63 @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
% 0.32/1.63 => ( ( descr
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.63 = ( descr
% 0.32/1.63 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(dsetconstr__Cong_type,type,
% 0.32/1.63 dsetconstr__Cong: $o ).
% 0.32/1.63
% 0.32/1.63 thf(dsetconstr__Cong,definition,
% 0.32/1.63 ( dsetconstr__Cong
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ( A = B )
% 0.32/1.63 => ! [Xphi: $i > $o,Xpsi: $i > $o] :
% 0.32/1.63 ( ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ! [Xy: $i] :
% 0.32/1.63 ( ( in @ Xy @ B )
% 0.32/1.63 => ( ( Xx = Xy )
% 0.32/1.63 => ( ( Xphi @ Xx )
% 0.32/1.63 <=> ( Xpsi @ Xy ) ) ) ) )
% 0.32/1.63 => ( ( dsetconstr @ A
% 0.32/1.63 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.32/1.63 = ( dsetconstr @ B
% 0.32/1.63 @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(subset_type,type,
% 0.32/1.63 subset: $i > $i > $o ).
% 0.32/1.63
% 0.32/1.63 thf(disjoint_type,type,
% 0.32/1.63 disjoint: $i > $i > $o ).
% 0.32/1.63
% 0.32/1.63 thf(setsmeet_type,type,
% 0.32/1.63 setsmeet: $i > $i > $o ).
% 0.32/1.63
% 0.32/1.63 thf(subsetI1_type,type,
% 0.32/1.63 subsetI1: $o ).
% 0.32/1.63
% 0.32/1.63 thf(subsetI1,definition,
% 0.32/1.63 ( subsetI1
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ( in @ Xx @ B ) )
% 0.32/1.63 => ( subset @ A @ B ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(eqimpsubset2_type,type,
% 0.32/1.63 eqimpsubset2: $o ).
% 0.32/1.63
% 0.32/1.63 thf(eqimpsubset2,definition,
% 0.32/1.63 ( eqimpsubset2
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ( A = B )
% 0.32/1.63 => ( subset @ B @ A ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(eqimpsubset1_type,type,
% 0.32/1.63 eqimpsubset1: $o ).
% 0.32/1.63
% 0.32/1.63 thf(eqimpsubset1,definition,
% 0.32/1.63 ( eqimpsubset1
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ( A = B )
% 0.32/1.63 => ( subset @ A @ B ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(subsetI2_type,type,
% 0.32/1.63 subsetI2: $o ).
% 0.32/1.63
% 0.32/1.63 thf(subsetI2,definition,
% 0.32/1.63 ( subsetI2
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ! [Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ( in @ Xx @ B ) )
% 0.32/1.63 => ( subset @ A @ B ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(emptysetsubset_type,type,
% 0.32/1.63 emptysetsubset: $o ).
% 0.32/1.63
% 0.32/1.63 thf(emptysetsubset,definition,
% 0.32/1.63 ( emptysetsubset
% 0.32/1.63 = ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(subsetE_type,type,
% 0.32/1.63 subsetE: $o ).
% 0.32/1.63
% 0.32/1.63 thf(subsetE,definition,
% 0.32/1.63 ( subsetE
% 0.32/1.63 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.32/1.63 ( ( subset @ A @ B )
% 0.32/1.63 => ( ( in @ Xx @ A )
% 0.32/1.63 => ( in @ Xx @ B ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(subsetE2_type,type,
% 0.32/1.63 subsetE2: $o ).
% 0.32/1.63
% 0.32/1.63 thf(subsetE2,definition,
% 0.32/1.63 ( subsetE2
% 0.32/1.63 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.32/1.63 ( ( subset @ A @ B )
% 0.32/1.63 => ( ~ ( in @ Xx @ B )
% 0.32/1.63 => ~ ( in @ Xx @ A ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(notsubsetI_type,type,
% 0.32/1.63 notsubsetI: $o ).
% 0.32/1.63
% 0.32/1.63 thf(notsubsetI,definition,
% 0.32/1.63 ( notsubsetI
% 0.32/1.63 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ( ~ ( in @ Xx @ B )
% 0.32/1.63 => ~ ( subset @ A @ B ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(notequalI1_type,type,
% 0.32/1.63 notequalI1: $o ).
% 0.32/1.63
% 0.32/1.63 thf(notequalI1,definition,
% 0.32/1.63 ( notequalI1
% 0.32/1.63 = ( ! [A: $i,B: $i] :
% 0.32/1.63 ( ~ ( subset @ A @ B )
% 0.32/1.63 => ( A != B ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(notequalI2_type,type,
% 0.32/1.63 notequalI2: $o ).
% 0.32/1.63
% 0.32/1.63 thf(notequalI2,definition,
% 0.32/1.63 ( notequalI2
% 0.32/1.63 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.32/1.63 ( ( in @ Xx @ A )
% 0.32/1.63 => ( ~ ( in @ Xx @ B )
% 0.32/1.63 => ( A != B ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(subsetRefl_type,type,
% 0.32/1.63 subsetRefl: $o ).
% 0.32/1.63
% 0.32/1.63 thf(subsetRefl,definition,
% 0.32/1.63 ( subsetRefl
% 0.32/1.63 = ( ! [A: $i] : ( subset @ A @ A ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(subsetTrans_type,type,
% 0.32/1.63 subsetTrans: $o ).
% 0.32/1.63
% 0.32/1.63 thf(subsetTrans,definition,
% 0.32/1.63 ( subsetTrans
% 0.32/1.63 = ( ! [A: $i,B: $i,C: $i] :
% 0.32/1.63 ( ( subset @ A @ B )
% 0.32/1.63 => ( ( subset @ B @ C )
% 0.32/1.63 => ( subset @ A @ C ) ) ) ) ) ).
% 0.32/1.63
% 0.32/1.63 thf(setadjoinSub,conjecture,
% 0.32/1.63 ( setextAx
% 0.32/1.63 => ( emptysetAx
% 0.32/1.63 => ( setadjoinAx
% 0.32/1.63 => ( powersetAx
% 0.32/1.63 => ( setunionAx
% 0.32/1.63 => ( omega0Ax
% 0.32/1.63 => ( omegaSAx
% 0.32/1.63 => ( omegaIndAx
% 0.32/1.63 => ( replAx
% 0.32/1.63 => ( foundationAx
% 0.32/1.63 => ( wellorderingAx
% 0.32/1.63 => ( descrp
% 0.32/1.63 => ( dsetconstrI
% 0.32/1.63 => ( dsetconstrEL
% 0.32/1.63 => ( dsetconstrER
% 0.32/1.63 => ( exuE1
% 0.32/1.63 => ( prop2setE
% 0.32/1.63 => ( emptysetE
% 0.32/1.63 => ( emptysetimpfalse
% 0.32/1.63 => ( notinemptyset
% 0.32/1.63 => ( exuE3e
% 0.32/1.63 => ( setext
% 0.32/1.63 => ( emptyI
% 0.32/1.63 => ( noeltsimpempty
% 0.32/1.63 => ( setbeta
% 0.32/1.63 => ( nonemptyE1
% 0.32/1.63 => ( nonemptyI
% 0.32/1.63 => ( nonemptyI1
% 0.32/1.63 => ( setadjoinIL
% 0.32/1.63 => ( emptyinunitempty
% 0.32/1.63 => ( setadjoinIR
% 0.32/1.63 => ( setadjoinE
% 0.32/1.63 => ( setadjoinOr
% 0.32/1.63 => ( setoftrueEq
% 0.32/1.63 => ( powersetI
% 0.32/1.63 => ( emptyinPowerset
% 0.32/1.63 => ( emptyInPowerset
% 0.32/1.63 => ( powersetE
% 0.32/1.63 => ( setunionI
% 0.32/1.63 => ( setunionE
% 0.32/1.63 => ( subPowSU
% 0.32/1.63 => ( exuE2
% 0.32/1.63 => ( nonemptyImpWitness
% 0.32/1.63 => ( uniqinunit
% 0.32/1.63 => ( notinsingleton
% 0.32/1.63 => ( eqinunit
% 0.32/1.63 => ( singletonsswitch
% 0.32/1.63 => ( upairsetE
% 0.32/1.63 => ( upairsetIL
% 0.32/1.63 => ( upairsetIR
% 0.32/1.63 => ( emptyE1
% 0.32/1.63 => ( vacuousDall
% 0.32/1.63 => ( quantDeMorgan1
% 0.32/1.63 => ( quantDeMorgan2
% 0.32/1.63 => ( quantDeMorgan3
% 0.32/1.63 => ( quantDeMorgan4
% 0.32/1.63 => ( prop2setI
% 0.32/1.63 => ( prop2set2propI
% 0.32/1.63 => ( notdexE
% 0.32/1.63 => ( notdallE
% 0.32/1.63 => ( exuI1
% 0.32/1.63 => ( exuI3
% 0.32/1.63 => ( exuI2
% 0.32/1.63 => ( inCongP
% 0.32/1.63 => ( in__Cong
% 0.32/1.63 => ( exuE3u
% 0.32/1.63 => ( exu__Cong
% 0.32/1.63 => ( emptyset__Cong
% 0.32/1.63 => ( setadjoin__Cong
% 0.32/1.63 => ( powerset__Cong
% 0.32/1.63 => ( setunion__Cong
% 0.32/1.63 => ( omega__Cong
% 0.32/1.63 => ( exuEu
% 0.32/1.63 => ( descr__Cong
% 0.32/1.63 => ( dsetconstr__Cong
% 0.32/1.63 => ( subsetI1
% 0.32/1.63 => ( eqimpsubset2
% 0.32/1.63 => ( eqimpsubset1
% 0.32/1.63 => ( subsetI2
% 0.32/1.63 => ( emptysetsubset
% 0.32/1.63 => ( subsetE
% 0.32/1.63 => ( subsetE2
% 0.32/1.63 => ( notsubsetI
% 0.32/1.63 => ( notequalI1
% 0.32/1.63 => ( notequalI2
% 0.32/1.63 => ( subsetRefl
% 0.32/1.63 => ( subsetTrans
% 0.32/1.63 => ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.32/1.63 ------------------------
% 0.32/1.65 % (27177)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/183Mi)
% 0.32/1.65 % (27178)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_27044 for (2999ds/4Mi)
% 0.32/1.65 % (27179)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_27044 for (2999ds/27Mi)
% 0.32/1.65 % (27181)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_27044 for (2999ds/2Mi)
% 0.32/1.65 % (27180)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/2Mi)
% 0.32/1.65 % (27183)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/18Mi)
% 0.32/1.65 % (27182)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_27044 for (2999ds/275Mi)
% 0.32/1.65 % (27180)Instruction limit reached!
% 0.32/1.65 % (27180)------------------------------
% 0.32/1.65 % (27180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.65 % (27180)Termination reason: Unknown
% 0.32/1.65 % (27181)Instruction limit reached!
% 0.32/1.65 % (27181)------------------------------
% 0.32/1.65 % (27181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.65 % (27180)Termination phase: shuffling
% 0.32/1.65
% 0.32/1.65 % (27180)Memory used [KB]: 1151
% 0.32/1.65 % (27180)Time elapsed: 0.003 s
% 0.32/1.65 % (27180)Instructions burned: 3 (million)
% 0.32/1.65 % (27180)------------------------------
% 0.32/1.65 % (27180)------------------------------
% 0.32/1.65 % (27181)Termination reason: Unknown
% 0.32/1.65 % (27181)Termination phase: shuffling
% 0.32/1.65
% 0.32/1.65 % (27181)Memory used [KB]: 1151
% 0.32/1.65 % (27181)Time elapsed: 0.003 s
% 0.32/1.65 % (27181)Instructions burned: 3 (million)
% 0.32/1.65 % (27181)------------------------------
% 0.32/1.65 % (27181)------------------------------
% 0.32/1.65 % (27178)Instruction limit reached!
% 0.32/1.65 % (27178)------------------------------
% 0.32/1.65 % (27178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.65 % (27178)Termination reason: Unknown
% 0.32/1.65 % (27178)Termination phase: shuffling
% 0.32/1.65
% 0.32/1.65 % (27178)Memory used [KB]: 1151
% 0.32/1.65 % (27178)Time elapsed: 0.004 s
% 0.32/1.65 % (27178)Instructions burned: 5 (million)
% 0.32/1.65 % (27178)------------------------------
% 0.32/1.65 % (27178)------------------------------
% 0.32/1.66 % (27183)Instruction limit reached!
% 0.32/1.66 % (27183)------------------------------
% 0.32/1.66 % (27183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.66 % (27183)Termination reason: Unknown
% 0.32/1.66 % (27183)Termination phase: Preprocessing 3
% 0.32/1.66
% 0.32/1.66 % (27183)Memory used [KB]: 1663
% 0.32/1.66 % (27183)Time elapsed: 0.011 s
% 0.32/1.66 % (27183)Instructions burned: 19 (million)
% 0.32/1.66 % (27183)------------------------------
% 0.32/1.66 % (27183)------------------------------
% 0.32/1.66 % (27179)Instruction limit reached!
% 0.32/1.66 % (27179)------------------------------
% 0.32/1.66 % (27179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.66 % (27179)Termination reason: Unknown
% 0.32/1.66 % (27179)Termination phase: Property scanning
% 0.32/1.66
% 0.32/1.66 % (27179)Memory used [KB]: 1407
% 0.32/1.66 % (27179)Time elapsed: 0.014 s
% 0.32/1.66 % (27179)Instructions burned: 27 (million)
% 0.32/1.66 % (27179)------------------------------
% 0.32/1.66 % (27179)------------------------------
% 0.32/1.67 % (27184)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/3Mi)
% 0.32/1.67 % (27185)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_27044 for (2999ds/37Mi)
% 0.32/1.67 % (27186)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_27044 for (2999ds/15Mi)
% 0.32/1.67 % (27184)Instruction limit reached!
% 0.32/1.67 % (27184)------------------------------
% 0.32/1.67 % (27184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.67 % (27184)Termination reason: Unknown
% 0.32/1.67 % (27184)Termination phase: shuffling
% 0.32/1.67
% 0.32/1.67 % (27184)Memory used [KB]: 1151
% 0.32/1.67 % (27184)Time elapsed: 0.003 s
% 0.32/1.67 % (27184)Instructions burned: 3 (million)
% 0.32/1.67 % (27184)------------------------------
% 0.32/1.67 % (27184)------------------------------
% 0.32/1.67 % (27187)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_27044 for (2999ds/3Mi)
% 0.32/1.67 % (27186)Instruction limit reached!
% 0.32/1.67 % (27186)------------------------------
% 0.32/1.67 % (27186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.67 % (27186)Termination reason: Unknown
% 0.32/1.67 % (27186)Termination phase: Preprocessing 3
% 0.32/1.67
% 0.32/1.67 % (27186)Memory used [KB]: 1535
% 0.32/1.67 % (27186)Time elapsed: 0.009 s
% 0.32/1.67 % (27186)Instructions burned: 16 (million)
% 0.32/1.67 % (27186)------------------------------
% 0.32/1.67 % (27186)------------------------------
% 0.32/1.68 % (27187)Instruction limit reached!
% 0.32/1.68 % (27187)------------------------------
% 0.32/1.68 % (27187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.68 % (27187)Termination reason: Unknown
% 0.32/1.68 % (27187)Termination phase: shuffling
% 0.32/1.68
% 0.32/1.68 % (27187)Memory used [KB]: 1151
% 0.32/1.68 % (27187)Time elapsed: 0.003 s
% 0.32/1.68 % (27187)Instructions burned: 3 (million)
% 0.32/1.68 % (27187)------------------------------
% 0.32/1.68 % (27187)------------------------------
% 0.32/1.68 % (27188)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_27044 for (2999ds/1041Mi)
% 0.32/1.68 % (27185)Instruction limit reached!
% 0.32/1.68 % (27185)------------------------------
% 0.32/1.68 % (27185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.68 % (27185)Termination reason: Unknown
% 0.32/1.68 % (27185)Termination phase: Property scanning
% 0.32/1.68
% 0.32/1.68 % (27185)Memory used [KB]: 1407
% 0.32/1.68 % (27185)Time elapsed: 0.018 s
% 0.32/1.68 % (27185)Instructions burned: 38 (million)
% 0.32/1.68 % (27185)------------------------------
% 0.32/1.68 % (27185)------------------------------
% 0.32/1.68 % (27189)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/7Mi)
% 0.32/1.69 % (27189)Instruction limit reached!
% 0.32/1.69 % (27189)------------------------------
% 0.32/1.69 % (27189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.69 % (27189)Termination reason: Unknown
% 0.32/1.69 % (27189)Termination phase: shuffling
% 0.32/1.69
% 0.32/1.69 % (27189)Memory used [KB]: 1279
% 0.32/1.69 % (27189)Time elapsed: 0.005 s
% 0.32/1.69 % (27189)Instructions burned: 8 (million)
% 0.32/1.69 % (27189)------------------------------
% 0.32/1.69 % (27189)------------------------------
% 0.32/1.69 % (27190)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/16Mi)
% 0.32/1.69 % (27191)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_27044 for (2999ds/3Mi)
% 0.32/1.69 % (27191)Instruction limit reached!
% 0.32/1.69 % (27191)------------------------------
% 0.32/1.69 % (27191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.32/1.69 % (27191)Termination reason: Unknown
% 0.32/1.69 % (27191)Termination phase: shuffling
% 0.32/1.69
% 0.32/1.69 % (27191)Memory used [KB]: 1151
% 0.32/1.69 % (27191)Time elapsed: 0.003 s
% 0.32/1.69 % (27191)Instructions burned: 3 (million)
% 0.32/1.69 % (27191)------------------------------
% 0.32/1.69 % (27191)------------------------------
% 2.50/1.70 % (27190)Instruction limit reached!
% 2.50/1.70 % (27190)------------------------------
% 2.50/1.70 % (27190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.70 % (27190)Termination reason: Unknown
% 2.50/1.70 % (27190)Termination phase: Property scanning
% 2.50/1.70
% 2.50/1.70 % (27190)Memory used [KB]: 1407
% 2.50/1.70 % (27190)Time elapsed: 0.009 s
% 2.50/1.70 % (27190)Instructions burned: 17 (million)
% 2.50/1.70 % (27190)------------------------------
% 2.50/1.70 % (27190)------------------------------
% 2.50/1.70 % (27192)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_27044 for (2999ds/3Mi)
% 2.50/1.70 % (27192)Instruction limit reached!
% 2.50/1.70 % (27192)------------------------------
% 2.50/1.70 % (27192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.70 % (27192)Termination reason: Unknown
% 2.50/1.70 % (27192)Termination phase: shuffling
% 2.50/1.70
% 2.50/1.70 % (27192)Memory used [KB]: 1151
% 2.50/1.70 % (27192)Time elapsed: 0.003 s
% 2.50/1.70 % (27192)Instructions burned: 3 (million)
% 2.50/1.70 % (27192)------------------------------
% 2.50/1.70 % (27192)------------------------------
% 2.50/1.70 % (27193)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/7Mi)
% 2.50/1.71 % (27193)Instruction limit reached!
% 2.50/1.71 % (27193)------------------------------
% 2.50/1.71 % (27193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.71 % (27193)Termination reason: Unknown
% 2.50/1.71 % (27193)Termination phase: shuffling
% 2.50/1.71
% 2.50/1.71 % (27193)Memory used [KB]: 1279
% 2.50/1.71 % (27193)Time elapsed: 0.005 s
% 2.50/1.71 % (27193)Instructions burned: 8 (million)
% 2.50/1.71 % (27193)------------------------------
% 2.50/1.71 % (27193)------------------------------
% 2.50/1.71 % (27194)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/3Mi)
% 2.50/1.71 % (27194)Instruction limit reached!
% 2.50/1.71 % (27194)------------------------------
% 2.50/1.71 % (27194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.71 % (27194)Termination reason: Unknown
% 2.50/1.71 % (27194)Termination phase: shuffling
% 2.50/1.71
% 2.50/1.71 % (27194)Memory used [KB]: 1151
% 2.50/1.71 % (27194)Time elapsed: 0.003 s
% 2.50/1.71 % (27194)Instructions burned: 3 (million)
% 2.50/1.71 % (27194)------------------------------
% 2.50/1.71 % (27194)------------------------------
% 2.50/1.71 % (27195)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/4Mi)
% 2.50/1.72 % (27195)Instruction limit reached!
% 2.50/1.72 % (27195)------------------------------
% 2.50/1.72 % (27195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.72 % (27195)Termination reason: Unknown
% 2.50/1.72 % (27195)Termination phase: shuffling
% 2.50/1.72
% 2.50/1.72 % (27195)Memory used [KB]: 1151
% 2.50/1.72 % (27195)Time elapsed: 0.003 s
% 2.50/1.72 % (27195)Instructions burned: 4 (million)
% 2.50/1.72 % (27195)------------------------------
% 2.50/1.72 % (27195)------------------------------
% 2.50/1.72 % (27196)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/18Mi)
% 2.50/1.72 % (27197)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/710Mi)
% 2.50/1.72 % (27196)Instruction limit reached!
% 2.50/1.72 % (27196)------------------------------
% 2.50/1.72 % (27196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.72 % (27196)Termination reason: Unknown
% 2.50/1.72 % (27196)Termination phase: Property scanning
% 2.50/1.72
% 2.50/1.72 % (27196)Memory used [KB]: 1407
% 2.50/1.72 % (27196)Time elapsed: 0.010 s
% 2.50/1.72 % (27196)Instructions burned: 19 (million)
% 2.50/1.72 % (27196)------------------------------
% 2.50/1.72 % (27196)------------------------------
% 2.50/1.73 % (27198)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/6Mi)
% 2.50/1.73 % (27198)Instruction limit reached!
% 2.50/1.73 % (27198)------------------------------
% 2.50/1.73 % (27198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.73 % (27198)Termination reason: Unknown
% 2.50/1.73 % (27198)Termination phase: shuffling
% 2.50/1.73
% 2.50/1.73 % (27198)Memory used [KB]: 1279
% 2.50/1.73 % (27198)Time elapsed: 0.004 s
% 2.50/1.73 % (27198)Instructions burned: 6 (million)
% 2.50/1.73 % (27198)------------------------------
% 2.50/1.73 % (27198)------------------------------
% 2.50/1.73 % (27199)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_27044 for (2999ds/902Mi)
% 2.50/1.74 % (27177)Instruction limit reached!
% 2.50/1.74 % (27177)------------------------------
% 2.50/1.74 % (27177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.74 % (27177)Termination reason: Unknown
% 2.50/1.74 % (27177)Termination phase: Saturation
% 2.50/1.74
% 2.50/1.74 % (27177)Memory used [KB]: 6908
% 2.50/1.74 % (27177)Time elapsed: 0.089 s
% 2.50/1.74 % (27177)Instructions burned: 184 (million)
% 2.50/1.74 % (27177)------------------------------
% 2.50/1.74 % (27177)------------------------------
% 2.50/1.74 % (27200)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_27044 for (2999ds/21Mi)
% 2.50/1.75 % (27201)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_27044 for (2999ds/5Mi)
% 2.50/1.75 % (27201)Instruction limit reached!
% 2.50/1.75 % (27201)------------------------------
% 2.50/1.75 % (27201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.75 % (27201)Termination reason: Unknown
% 2.50/1.75 % (27201)Termination phase: shuffling
% 2.50/1.75
% 2.50/1.75 % (27201)Memory used [KB]: 1279
% 2.50/1.75 % (27201)Time elapsed: 0.004 s
% 2.50/1.75 % (27201)Instructions burned: 6 (million)
% 2.50/1.75 % (27201)------------------------------
% 2.50/1.75 % (27201)------------------------------
% 2.50/1.75 % (27200)Instruction limit reached!
% 2.50/1.75 % (27200)------------------------------
% 2.50/1.75 % (27200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.75 % (27200)Termination reason: Unknown
% 2.50/1.75 % (27200)Termination phase: Property scanning
% 2.50/1.75
% 2.50/1.75 % (27200)Memory used [KB]: 1407
% 2.50/1.75 % (27200)Time elapsed: 0.011 s
% 2.50/1.75 % (27200)Instructions burned: 21 (million)
% 2.50/1.75 % (27200)------------------------------
% 2.50/1.75 % (27200)------------------------------
% 2.50/1.75 % (27202)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_27044 for (2999ds/6Mi)
% 2.50/1.75 % (27202)Instruction limit reached!
% 2.50/1.75 % (27202)------------------------------
% 2.50/1.75 % (27202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.75 % (27202)Termination reason: Unknown
% 2.50/1.75 % (27202)Termination phase: shuffling
% 2.50/1.75
% 2.50/1.75 % (27202)Memory used [KB]: 1279
% 2.50/1.75 % (27202)Time elapsed: 0.004 s
% 2.50/1.75 % (27202)Instructions burned: 6 (million)
% 2.50/1.75 % (27202)------------------------------
% 2.50/1.75 % (27202)------------------------------
% 2.50/1.76 % (27203)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_27044 for (2998ds/377Mi)
% 2.50/1.77 % (27204)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_27044 for (2998ds/779Mi)
% 2.50/1.77 % (27205)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_27044 for (2998ds/19Mi)
% 2.50/1.78 % (27205)Instruction limit reached!
% 2.50/1.78 % (27205)------------------------------
% 2.50/1.78 % (27205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.78 % (27205)Termination reason: Unknown
% 2.50/1.78 % (27205)Termination phase: Property scanning
% 2.50/1.78
% 2.50/1.78 % (27205)Memory used [KB]: 1407
% 2.50/1.78 % (27205)Time elapsed: 0.010 s
% 2.50/1.78 % (27205)Instructions burned: 19 (million)
% 2.50/1.78 % (27205)------------------------------
% 2.50/1.78 % (27205)------------------------------
% 2.50/1.79 % (27182)Instruction limit reached!
% 2.50/1.79 % (27182)------------------------------
% 2.50/1.79 % (27182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.79 % (27182)Termination reason: Unknown
% 2.50/1.79 % (27182)Termination phase: Saturation
% 2.50/1.79
% 2.50/1.79 % (27182)Memory used [KB]: 7419
% 2.50/1.79 % (27182)Time elapsed: 0.138 s
% 2.50/1.79 % (27182)Instructions burned: 276 (million)
% 2.50/1.79 % (27182)------------------------------
% 2.50/1.79 % (27182)------------------------------
% 2.50/1.80 % (27206)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_27044 for (2998ds/879Mi)
% 2.50/1.80 % (27207)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_27044 for (2998ds/17Mi)
% 2.50/1.81 % (27207)Instruction limit reached!
% 2.50/1.81 % (27207)------------------------------
% 2.50/1.81 % (27207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.81 % (27207)Termination reason: Unknown
% 2.50/1.81 % (27207)Termination phase: Property scanning
% 2.50/1.81
% 2.50/1.81 % (27207)Memory used [KB]: 1407
% 2.50/1.81 % (27207)Time elapsed: 0.009 s
% 2.50/1.81 % (27207)Instructions burned: 17 (million)
% 2.50/1.81 % (27207)------------------------------
% 2.50/1.81 % (27207)------------------------------
% 2.50/1.82 % (27208)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_27044 for (2998ds/3Mi)
% 2.50/1.83 % (27208)Instruction limit reached!
% 2.50/1.83 % (27208)------------------------------
% 2.50/1.83 % (27208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.83 % (27208)Termination reason: Unknown
% 2.50/1.83 % (27208)Termination phase: shuffling
% 2.50/1.83
% 2.50/1.83 % (27208)Memory used [KB]: 1151
% 2.50/1.83 % (27208)Time elapsed: 0.003 s
% 2.50/1.83 % (27208)Instructions burned: 4 (million)
% 2.50/1.83 % (27208)------------------------------
% 2.50/1.83 % (27208)------------------------------
% 2.50/1.84 % (27209)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_27044 for (2998ds/30Mi)
% 2.50/1.86 % (27209)Instruction limit reached!
% 2.50/1.86 % (27209)------------------------------
% 2.50/1.86 % (27209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.86 % (27209)Termination reason: Unknown
% 2.50/1.86 % (27209)Termination phase: Function definition elimination
% 2.50/1.86
% 2.50/1.86 % (27209)Memory used [KB]: 1407
% 2.50/1.86 % (27209)Time elapsed: 0.015 s
% 2.50/1.86 % (27209)Instructions burned: 30 (million)
% 2.50/1.86 % (27209)------------------------------
% 2.50/1.86 % (27209)------------------------------
% 2.50/1.87 % (27210)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_27044 for (2997ds/127Mi)
% 2.50/1.93 % (27210)Instruction limit reached!
% 2.50/1.93 % (27210)------------------------------
% 2.50/1.93 % (27210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.93 % (27210)Termination reason: Unknown
% 2.50/1.93 % (27210)Termination phase: Saturation
% 2.50/1.93
% 2.50/1.93 % (27210)Memory used [KB]: 6652
% 2.50/1.93 % (27210)Time elapsed: 0.084 s
% 2.50/1.93 % (27210)Instructions burned: 127 (million)
% 2.50/1.93 % (27210)------------------------------
% 2.50/1.93 % (27210)------------------------------
% 2.50/1.94 % (27203)Refutation not found, non-redundant clauses discarded% (27203)------------------------------
% 2.50/1.94 % (27203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.94 % (27203)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.50/1.94
% 2.50/1.94 % (27203)Memory used [KB]: 7036
% 2.50/1.94 % (27203)Time elapsed: 0.178 s
% 2.50/1.94 % (27203)Instructions burned: 373 (million)
% 2.50/1.94 % (27203)------------------------------
% 2.50/1.94 % (27203)------------------------------
% 2.50/1.95 % (27211)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_27044 for (2997ds/100Mi)
% 2.50/1.96 % (27212)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_27044 for (2997ds/3Mi)
% 2.50/1.96 % (27212)Instruction limit reached!
% 2.50/1.96 % (27212)------------------------------
% 2.50/1.96 % (27212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.96 % (27212)Termination reason: Unknown
% 2.50/1.96 % (27212)Termination phase: shuffling
% 2.50/1.96
% 2.50/1.96 % (27212)Memory used [KB]: 1151
% 2.50/1.96 % (27212)Time elapsed: 0.003 s
% 2.50/1.96 % (27212)Instructions burned: 3 (million)
% 2.50/1.96 % (27212)------------------------------
% 2.50/1.96 % (27212)------------------------------
% 2.50/1.98 % (27213)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_27044 for (2996ds/20Mi)
% 2.50/1.98 % (27213)Instruction limit reached!
% 2.50/1.98 % (27213)------------------------------
% 2.50/1.98 % (27213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.98 % (27213)Termination reason: Unknown
% 2.50/1.98 % (27213)Termination phase: Preprocessing 3
% 2.50/1.98
% 2.50/1.98 % (27213)Memory used [KB]: 1535
% 2.50/1.98 % (27213)Time elapsed: 0.011 s
% 2.50/1.98 % (27213)Instructions burned: 20 (million)
% 2.50/1.98 % (27213)------------------------------
% 2.50/1.98 % (27213)------------------------------
% 2.50/1.99 % (27197)Refutation not found, non-redundant clauses discarded% (27197)------------------------------
% 2.50/1.99 % (27197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/1.99 % (27197)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.50/1.99
% 2.50/1.99 % (27197)Memory used [KB]: 8059
% 2.50/1.99 % (27197)Time elapsed: 0.265 s
% 2.50/1.99 % (27197)Instructions burned: 528 (million)
% 2.50/1.99 % (27197)------------------------------
% 2.50/1.99 % (27197)------------------------------
% 2.50/2.00 % (27211)Instruction limit reached!
% 2.50/2.00 % (27211)------------------------------
% 2.50/2.00 % (27211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.50/2.00 % (27211)Termination reason: Unknown
% 2.50/2.00 % (27211)Termination phase: Saturation
% 2.50/2.00
% 2.50/2.00 % (27211)Memory used [KB]: 6396
% 2.50/2.00 % (27211)Time elapsed: 0.049 s
% 2.50/2.00 % (27211)Instructions burned: 101 (million)
% 2.50/2.00 % (27211)------------------------------
% 2.50/2.00 % (27211)------------------------------
% 2.50/2.00 % (27214)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_27044 for (2996ds/86Mi)
% 2.50/2.00 % (27215)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_27044 for (2996ds/107Mi)
% 2.50/2.01 % (27216)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_27044 for (2996ds/39Mi)
% 5.17/2.03 % (27216)Instruction limit reached!
% 5.17/2.03 % (27216)------------------------------
% 5.17/2.03 % (27216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.17/2.03 % (27216)Termination reason: Unknown
% 5.17/2.03 % (27216)Termination phase: Property scanning
% 5.17/2.03
% 5.17/2.03 % (27216)Memory used [KB]: 1407
% 5.17/2.03 % (27216)Time elapsed: 0.019 s
% 5.17/2.03 % (27216)Instructions burned: 39 (million)
% 5.17/2.03 % (27216)------------------------------
% 5.17/2.03 % (27216)------------------------------
% 5.17/2.04 % (27214)Instruction limit reached!
% 5.17/2.04 % (27214)------------------------------
% 5.17/2.04 % (27214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.17/2.04 % (27214)Termination reason: Unknown
% 5.17/2.04 % (27214)Termination phase: Saturation
% 5.17/2.04
% 5.17/2.04 % (27214)Memory used [KB]: 6396
% 5.17/2.04 % (27214)Time elapsed: 0.041 s
% 5.17/2.04 % (27214)Instructions burned: 88 (million)
% 5.17/2.04 % (27214)------------------------------
% 5.17/2.04 % (27214)------------------------------
% 5.17/2.05 % (27217)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_27044 for (2995ds/448Mi)
% 5.17/2.05 % (27215)Instruction limit reached!
% 5.17/2.05 % (27215)------------------------------
% 5.17/2.05 % (27215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.17/2.05 % (27215)Termination reason: Unknown
% 5.17/2.05 % (27215)Termination phase: Saturation
% 5.17/2.05
% 5.17/2.05 % (27215)Memory used [KB]: 6652
% 5.17/2.05 % (27215)Time elapsed: 0.050 s
% 5.17/2.05 % (27215)Instructions burned: 108 (million)
% 5.17/2.05 % (27215)------------------------------
% 5.17/2.05 % (27215)------------------------------
% 5.17/2.06 % (27218)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_27044 for (2995ds/46Mi)
% 5.17/2.07 % (27188)Instruction limit reached!
% 5.17/2.07 % (27188)------------------------------
% 5.17/2.07 % (27188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.17/2.07 % (27188)Termination reason: Unknown
% 5.17/2.07 % (27188)Termination phase: Saturation
% 5.17/2.07
% 5.17/2.07 % (27188)Memory used [KB]: 7419
% 5.17/2.07 % (27188)Time elapsed: 0.391 s
% 5.17/2.07 % (27188)Instructions burned: 1041 (million)
% 5.17/2.07 % (27188)------------------------------
% 5.17/2.07 % (27188)------------------------------
% 5.17/2.07 % (27219)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_27044 for (2995ds/98Mi)
% 5.17/2.08 % (27218)Instruction limit reached!
% 5.17/2.08 % (27218)------------------------------
% 5.17/2.08 % (27218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.17/2.08 % (27218)Termination reason: Unknown
% 5.17/2.08 % (27218)Termination phase: Property scanning
% 5.17/2.08
% 5.17/2.08 % (27218)Memory used [KB]: 1535
% 5.17/2.08 % (27218)Time elapsed: 0.022 s
% 5.17/2.08 % (27218)Instructions burned: 48 (million)
% 5.17/2.08 % (27218)------------------------------
% 5.17/2.08 % (27218)------------------------------
% 5.17/2.08 % (27220)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_27044 for (2995ds/507Mi)
% 5.17/2.09 % (27204)Instruction limit reached!
% 5.17/2.09 % (27204)------------------------------
% 5.17/2.09 % (27204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.17/2.09 % (27204)Termination reason: Unknown
% 5.17/2.09 % (27204)Termination phase: Saturation
% 5.17/2.09
% 5.17/2.09 % (27204)Memory used [KB]: 7036
% 5.17/2.09 % (27204)Time elapsed: 0.324 s
% 5.17/2.09 % (27204)Instructions burned: 780 (million)
% 5.17/2.09 % (27204)------------------------------
% 5.17/2.09 % (27204)------------------------------
% 5.17/2.09 % (27221)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_27044 for (2995ds/149Mi)
% 5.17/2.10 % (27222)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_27044 for (2995ds/39Mi)
% 5.17/2.11 % (27219)Instruction limit reached!
% 5.17/2.11 % (27219)------------------------------
% 5.17/2.11 % (27219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.17/2.11 % (27219)Termination reason: Unknown
% 5.17/2.11 % (27219)Termination phase: Saturation
% 5.17/2.11
% 5.17/2.11 % (27219)Memory used [KB]: 1663
% 5.17/2.11 % (27219)Time elapsed: 0.042 s
% 5.17/2.11 % (27219)Instructions burned: 100 (million)
% 5.17/2.11 % (27219)------------------------------
% 5.17/2.11 % (27219)------------------------------
% 5.17/2.12 % (27222)Instruction limit reached!
% 5.17/2.12 % (27222)------------------------------
% 5.17/2.12 % (27222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.17/2.12 % (27222)Termination reason: Unknown
% 5.17/2.12 % (27222)Termination phase: Property scanning
% 5.17/2.12
% 5.17/2.12 % (27222)Memory used [KB]: 1535
% 5.17/2.12 % (27222)Time elapsed: 0.019 s
% 5.17/2.12 % (27222)Instructions burned: 40 (million)
% 5.17/2.12 % (27222)------------------------------
% 5.17/2.12 % (27222)------------------------------
% 5.17/2.12 % (27223)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_27044 for (2995ds/6Mi)
% 5.69/2.13 % (27223)Instruction limit reached!
% 5.69/2.13 % (27223)------------------------------
% 5.69/2.13 % (27223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.13 % (27223)Termination reason: Unknown
% 5.69/2.13 % (27223)Termination phase: shuffling
% 5.69/2.13
% 5.69/2.13 % (27223)Memory used [KB]: 1279
% 5.69/2.13 % (27223)Time elapsed: 0.004 s
% 5.69/2.13 % (27223)Instructions burned: 6 (million)
% 5.69/2.13 % (27223)------------------------------
% 5.69/2.13 % (27223)------------------------------
% 5.69/2.14 % (27224)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_27044 for (2995ds/1087Mi)
% 5.69/2.14 % (27225)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_27044 for (2995ds/47Mi)
% 5.69/2.16 % (27225)Instruction limit reached!
% 5.69/2.16 % (27225)------------------------------
% 5.69/2.16 % (27225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.16 % (27225)Termination reason: Unknown
% 5.69/2.16 % (27225)Termination phase: Saturation
% 5.69/2.16
% 5.69/2.16 % (27225)Memory used [KB]: 6012
% 5.69/2.16 % (27225)Time elapsed: 0.023 s
% 5.69/2.16 % (27225)Instructions burned: 48 (million)
% 5.69/2.16 % (27225)------------------------------
% 5.69/2.16 % (27225)------------------------------
% 5.69/2.17 % (27221)Instruction limit reached!
% 5.69/2.17 % (27221)------------------------------
% 5.69/2.17 % (27221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.17 % (27221)Termination reason: Unknown
% 5.69/2.17 % (27221)Termination phase: Saturation
% 5.69/2.17
% 5.69/2.17 % (27221)Memory used [KB]: 6652
% 5.69/2.17 % (27221)Time elapsed: 0.074 s
% 5.69/2.17 % (27221)Instructions burned: 149 (million)
% 5.69/2.17 % (27221)------------------------------
% 5.69/2.17 % (27221)------------------------------
% 5.69/2.18 % (27199)Instruction limit reached!
% 5.69/2.18 % (27199)------------------------------
% 5.69/2.18 % (27199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.18 % (27199)Termination reason: Unknown
% 5.69/2.18 % (27199)Termination phase: Saturation
% 5.69/2.18
% 5.69/2.18 % (27199)Memory used [KB]: 8955
% 5.69/2.18 % (27199)Time elapsed: 0.448 s
% 5.69/2.18 % (27199)Instructions burned: 903 (million)
% 5.69/2.18 % (27199)------------------------------
% 5.69/2.18 % (27199)------------------------------
% 5.69/2.18 % (27226)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_27044 for (2994ds/44Mi)
% 5.69/2.18 % (27227)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_27044 for (2994ds/432Mi)
% 5.69/2.19 % (27228)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_27044 for (2994ds/62Mi)
% 5.97/2.20 % (27226)Instruction limit reached!
% 5.97/2.20 % (27226)------------------------------
% 5.97/2.20 % (27226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.97/2.20 % (27226)Termination reason: Unknown
% 5.97/2.20 % (27226)Termination phase: Property scanning
% 5.97/2.20
% 5.97/2.20 % (27226)Memory used [KB]: 1407
% 5.97/2.20 % (27226)Time elapsed: 0.020 s
% 5.97/2.20 % (27226)Instructions burned: 44 (million)
% 5.97/2.20 % (27226)------------------------------
% 5.97/2.20 % (27226)------------------------------
% 5.97/2.21 % (27217)Instruction limit reached!
% 5.97/2.21 % (27217)------------------------------
% 5.97/2.21 % (27217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.97/2.21 % (27217)Termination reason: Unknown
% 5.97/2.21 % (27217)Termination phase: Saturation
% 5.97/2.21
% 5.97/2.21 % (27217)Memory used [KB]: 6396
% 5.97/2.21 % (27217)Time elapsed: 0.169 s
% 5.97/2.21 % (27217)Instructions burned: 450 (million)
% 5.97/2.21 % (27217)------------------------------
% 5.97/2.21 % (27217)------------------------------
% 5.97/2.22 % (27229)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_27044 for (2994ds/31Mi)
% 5.97/2.22 % (27228)Instruction limit reached!
% 5.97/2.22 % (27228)------------------------------
% 5.97/2.22 % (27228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.97/2.22 % (27228)Termination reason: Unknown
% 5.97/2.22 % (27228)Termination phase: Saturation
% 5.97/2.22
% 5.97/2.22 % (27228)Memory used [KB]: 6012
% 5.97/2.22 % (27228)Time elapsed: 0.028 s
% 5.97/2.22 % (27228)Instructions burned: 62 (million)
% 5.97/2.22 % (27228)------------------------------
% 5.97/2.22 % (27228)------------------------------
% 5.97/2.23 % (27230)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_27044 for (2994ds/96Mi)
% 5.97/2.23 % (27229)Instruction limit reached!
% 5.97/2.23 % (27229)------------------------------
% 5.97/2.23 % (27229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.97/2.23 % (27229)Termination reason: Unknown
% 5.97/2.23 % (27229)Termination phase: Function definition elimination
% 5.97/2.23
% 5.97/2.23 % (27229)Memory used [KB]: 1535
% 5.97/2.23 % (27229)Time elapsed: 0.016 s
% 5.97/2.23 % (27229)Instructions burned: 33 (million)
% 5.97/2.23 % (27229)------------------------------
% 5.97/2.23 % (27229)------------------------------
% 5.97/2.23 % (27206)Instruction limit reached!
% 5.97/2.23 % (27206)------------------------------
% 5.97/2.23 % (27206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.97/2.23 % (27206)Termination reason: Unknown
% 5.97/2.23 % (27206)Termination phase: Saturation
% 5.97/2.23
% 5.97/2.23 % (27206)Memory used [KB]: 7419
% 5.97/2.23 % (27206)Time elapsed: 0.461 s
% 5.97/2.23 % (27206)Instructions burned: 880 (million)
% 5.97/2.23 % (27206)------------------------------
% 5.97/2.23 % (27206)------------------------------
% 5.97/2.24 % (27231)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_27044 for (2994ds/453Mi)
% 5.97/2.25 % (27232)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_27044 for (2994ds/71Mi)
% 5.97/2.25 % (27233)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_27044 for (2993ds/83Mi)
% 5.97/2.27 % (27230)Instruction limit reached!
% 5.97/2.27 % (27230)------------------------------
% 5.97/2.27 % (27230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.97/2.27 % (27230)Termination reason: Unknown
% 5.97/2.27 % (27230)Termination phase: Saturation
% 5.97/2.27
% 5.97/2.27 % (27230)Memory used [KB]: 6524
% 5.97/2.27 % (27230)Time elapsed: 0.045 s
% 5.97/2.27 % (27230)Instructions burned: 97 (million)
% 5.97/2.27 % (27230)------------------------------
% 5.97/2.27 % (27230)------------------------------
% 5.97/2.28 % (27232)Instruction limit reached!
% 5.97/2.28 % (27232)------------------------------
% 5.97/2.28 % (27232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.97/2.28 % (27232)Termination reason: Unknown
% 5.97/2.28 % (27232)Termination phase: Saturation
% 5.97/2.28
% 5.97/2.28 % (27232)Memory used [KB]: 6140
% 5.97/2.28 % (27232)Time elapsed: 0.034 s
% 5.97/2.28 % (27232)Instructions burned: 71 (million)
% 5.97/2.28 % (27232)------------------------------
% 5.97/2.28 % (27232)------------------------------
% 5.97/2.29 % (27233)Instruction limit reached!
% 5.97/2.29 % (27233)------------------------------
% 5.97/2.29 % (27233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.97/2.29 % (27233)Termination reason: Unknown
% 5.97/2.29 % (27233)Termination phase: Saturation
% 5.97/2.29
% 5.97/2.29 % (27233)Memory used [KB]: 6268
% 5.97/2.29 % (27233)Time elapsed: 0.039 s
% 5.97/2.29 % (27233)Instructions burned: 85 (million)
% 5.97/2.29 % (27233)------------------------------
% 5.97/2.29 % (27233)------------------------------
% 5.97/2.29 % (27234)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_27044 for (2993ds/11Mi)
% 5.97/2.29 % (27234)Instruction limit reached!
% 5.97/2.29 % (27234)------------------------------
% 5.97/2.29 % (27234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.97/2.29 % (27234)Termination reason: Unknown
% 5.97/2.29 % (27234)Termination phase: shuffling
% 5.97/2.29
% 5.97/2.29 % (27234)Memory used [KB]: 1407
% 5.97/2.29 % (27234)Time elapsed: 0.007 s
% 5.97/2.29 % (27234)Instructions burned: 13 (million)
% 5.97/2.29 % (27234)------------------------------
% 5.97/2.29 % (27234)------------------------------
% 5.97/2.29 % (27235)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_27044 for (2993ds/41Mi)
% 6.49/2.30 % (27236)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_27044 for (2993ds/6Mi)
% 6.49/2.31 % (27236)Instruction limit reached!
% 6.49/2.31 % (27236)------------------------------
% 6.49/2.31 % (27236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.31 % (27236)Termination reason: Unknown
% 6.49/2.31 % (27236)Termination phase: shuffling
% 6.49/2.31
% 6.49/2.31 % (27236)Memory used [KB]: 1279
% 6.49/2.31 % (27236)Time elapsed: 0.004 s
% 6.49/2.31 % (27236)Instructions burned: 6 (million)
% 6.49/2.31 % (27236)------------------------------
% 6.49/2.31 % (27236)------------------------------
% 6.49/2.31 % (27237)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_27044 for (2993ds/150Mi)
% 6.49/2.31 % (27235)Instruction limit reached!
% 6.49/2.31 % (27235)------------------------------
% 6.49/2.31 % (27235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.31 % (27235)Termination reason: Unknown
% 6.49/2.31 % (27235)Termination phase: Property scanning
% 6.49/2.31
% 6.49/2.31 % (27235)Memory used [KB]: 1535
% 6.49/2.31 % (27235)Time elapsed: 0.019 s
% 6.49/2.31 % (27235)Instructions burned: 41 (million)
% 6.49/2.31 % (27235)------------------------------
% 6.49/2.31 % (27235)------------------------------
% 6.49/2.32 % (27238)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_27044 for (2993ds/343Mi)
% 6.49/2.33 % (27220)Instruction limit reached!
% 6.49/2.33 % (27220)------------------------------
% 6.49/2.33 % (27220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.33 % (27220)Termination reason: Unknown
% 6.49/2.33 % (27220)Termination phase: Saturation
% 6.49/2.33
% 6.49/2.33 % (27220)Memory used [KB]: 6780
% 6.49/2.33 % (27220)Time elapsed: 0.245 s
% 6.49/2.33 % (27220)Instructions burned: 508 (million)
% 6.49/2.33 % (27220)------------------------------
% 6.49/2.33 % (27220)------------------------------
% 6.49/2.33 % (27239)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_27044 for (2993ds/109Mi)
% 6.49/2.34 % (27240)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_27044 for (2993ds/253Mi)
% 6.49/2.35 % (27227)Instruction limit reached!
% 6.49/2.35 % (27227)------------------------------
% 6.49/2.35 % (27227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.35 % (27227)Termination reason: Unknown
% 6.49/2.35 % (27227)Termination phase: Saturation
% 6.49/2.35
% 6.49/2.35 % (27227)Memory used [KB]: 2430
% 6.49/2.35 % (27227)Time elapsed: 0.172 s
% 6.49/2.35 % (27227)Instructions burned: 432 (million)
% 6.49/2.35 % (27227)------------------------------
% 6.49/2.35 % (27227)------------------------------
% 6.49/2.37 % (27241)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_27044 for (2992ds/140Mi)
% 6.49/2.38 % (27239)Instruction limit reached!
% 6.49/2.38 % (27239)------------------------------
% 6.49/2.38 % (27239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.38 % (27239)Termination reason: Unknown
% 6.49/2.38 % (27239)Termination phase: Saturation
% 6.49/2.38
% 6.49/2.38 % (27239)Memory used [KB]: 6652
% 6.49/2.38 % (27239)Time elapsed: 0.051 s
% 6.49/2.38 % (27239)Instructions burned: 110 (million)
% 6.49/2.38 % (27239)------------------------------
% 6.49/2.38 % (27239)------------------------------
% 6.49/2.38 % (27237)Instruction limit reached!
% 6.49/2.38 % (27237)------------------------------
% 6.49/2.38 % (27237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.38 % (27237)Termination reason: Unknown
% 6.49/2.38 % (27237)Termination phase: Saturation
% 6.49/2.38
% 6.49/2.38 % (27237)Memory used [KB]: 7036
% 6.49/2.38 % (27237)Time elapsed: 0.076 s
% 6.49/2.38 % (27237)Instructions burned: 150 (million)
% 6.49/2.38 % (27237)------------------------------
% 6.49/2.38 % (27237)------------------------------
% 6.49/2.39 % (27242)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_27044 for (2992ds/614Mi)
% 7.14/2.40 % (27243)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_27044 for (2992ds/202Mi)
% 7.14/2.41 % (27231)Instruction limit reached!
% 7.14/2.41 % (27231)------------------------------
% 7.14/2.41 % (27231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.14/2.41 % (27231)Termination reason: Unknown
% 7.14/2.41 % (27231)Termination phase: Saturation
% 7.14/2.41
% 7.14/2.41 % (27231)Memory used [KB]: 6140
% 7.14/2.41 % (27231)Time elapsed: 0.174 s
% 7.14/2.41 % (27231)Instructions burned: 455 (million)
% 7.14/2.41 % (27231)------------------------------
% 7.14/2.41 % (27231)------------------------------
% 7.14/2.41 % (27241)Refutation not found, incomplete strategy
% 7.14/2.41 % (27241)------------------------------
% 7.14/2.41 % (27241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.14/2.41 % (27241)Termination reason: Refutation not found, incomplete strategy
% 7.14/2.41
% 7.14/2.41
% 7.14/2.41 % (27241)Memory used [KB]: 6140
% 7.14/2.41 % (27241)Time elapsed: 0.047 s
% 7.14/2.41 % (27241)Instructions burned: 100 (million)
% 7.14/2.41 % (27241)------------------------------
% 7.14/2.41 % (27241)------------------------------
% 7.14/2.43 % (27244)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_27044 for (2992ds/339Mi)
% 7.14/2.43 % (27245)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_27044 for (2992ds/283Mi)
% 7.14/2.47 % (27240)Instruction limit reached!
% 7.14/2.47 % (27240)------------------------------
% 7.14/2.47 % (27240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.14/2.47 % (27240)Termination reason: Unknown
% 7.14/2.47 % (27240)Termination phase: Saturation
% 7.14/2.47
% 7.14/2.47 % (27240)Memory used [KB]: 7547
% 7.14/2.47 % (27240)Time elapsed: 0.130 s
% 7.14/2.47 % (27240)Instructions burned: 254 (million)
% 7.14/2.47 % (27240)------------------------------
% 7.14/2.47 % (27240)------------------------------
% 7.14/2.48 % (27238)Instruction limit reached!
% 7.14/2.48 % (27238)------------------------------
% 7.14/2.48 % (27238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.14/2.48 % (27238)Termination reason: Unknown
% 7.14/2.48 % (27238)Termination phase: Saturation
% 7.14/2.48
% 7.14/2.48 % (27238)Memory used [KB]: 7036
% 7.14/2.48 % (27238)Time elapsed: 0.163 s
% 7.14/2.48 % (27238)Instructions burned: 344 (million)
% 7.14/2.48 % (27238)------------------------------
% 7.14/2.48 % (27238)------------------------------
% 7.14/2.49 % (27246)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_27044 for (2991ds/134Mi)
% 7.72/2.50 % (27247)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_27044 for (2991ds/298Mi)
% 7.72/2.50 % (27243)Instruction limit reached!
% 7.72/2.50 % (27243)------------------------------
% 7.72/2.50 % (27243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.50 % (27243)Termination reason: Unknown
% 7.72/2.50 % (27243)Termination phase: Saturation
% 7.72/2.50
% 7.72/2.50 % (27243)Memory used [KB]: 7291
% 7.72/2.50 % (27243)Time elapsed: 0.104 s
% 7.72/2.50 % (27243)Instructions burned: 203 (million)
% 7.72/2.50 % (27243)------------------------------
% 7.72/2.50 % (27243)------------------------------
% 7.72/2.52 % (27248)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_27044 for (2991ds/192Mi)
% 7.72/2.54 % (27245)Instruction limit reached!
% 7.72/2.54 % (27245)------------------------------
% 7.72/2.54 % (27245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.54 % (27245)Termination reason: Unknown
% 7.72/2.54 % (27245)Termination phase: Saturation
% 7.72/2.54
% 7.72/2.54 % (27245)Memory used [KB]: 7675
% 7.72/2.54 % (27245)Time elapsed: 0.112 s
% 7.72/2.54 % (27245)Instructions burned: 283 (million)
% 7.72/2.54 % (27245)------------------------------
% 7.72/2.54 % (27245)------------------------------
% 7.72/2.55 % (27246)Instruction limit reached!
% 7.72/2.55 % (27246)------------------------------
% 7.72/2.55 % (27246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.55 % (27246)Termination reason: Unknown
% 7.72/2.55 % (27246)Termination phase: Saturation
% 7.72/2.55
% 7.72/2.55 % (27246)Memory used [KB]: 6780
% 7.72/2.55 % (27246)Time elapsed: 0.087 s
% 7.72/2.55 % (27246)Instructions burned: 135 (million)
% 7.72/2.55 % (27246)------------------------------
% 7.72/2.55 % (27246)------------------------------
% 7.72/2.56 % (27249)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_27044 for (2990ds/258Mi)
% 7.72/2.57 % (27250)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_27044 for (2990ds/90Mi)
% 7.72/2.58 % (27244)Instruction limit reached!
% 7.72/2.58 % (27244)------------------------------
% 7.72/2.58 % (27244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.72/2.59 % (27244)Termination reason: Unknown
% 7.72/2.59 % (27244)Termination phase: Saturation
% 7.72/2.59
% 7.72/2.59 % (27244)Memory used [KB]: 7803
% 7.72/2.59 % (27244)Time elapsed: 0.161 s
% 7.72/2.59 % (27244)Instructions burned: 340 (million)
% 7.72/2.59 % (27244)------------------------------
% 7.72/2.59 % (27244)------------------------------
% 8.22/2.60 % (27251)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_27044 for (2990ds/231Mi)
% 8.22/2.61 % (27248)Instruction limit reached!
% 8.22/2.61 % (27248)------------------------------
% 8.22/2.61 % (27248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.61 % (27248)Termination reason: Unknown
% 8.22/2.61 % (27248)Termination phase: Saturation
% 8.22/2.61
% 8.22/2.61 % (27248)Memory used [KB]: 6908
% 8.22/2.61 % (27248)Time elapsed: 0.093 s
% 8.22/2.61 % (27248)Instructions burned: 193 (million)
% 8.22/2.61 % (27248)------------------------------
% 8.22/2.61 % (27248)------------------------------
% 8.22/2.61 % (27250)Instruction limit reached!
% 8.22/2.61 % (27250)------------------------------
% 8.22/2.61 % (27250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.61 % (27250)Termination reason: Unknown
% 8.22/2.61 % (27250)Termination phase: Saturation
% 8.22/2.61
% 8.22/2.61 % (27250)Memory used [KB]: 6524
% 8.22/2.61 % (27250)Time elapsed: 0.045 s
% 8.22/2.61 % (27250)Instructions burned: 91 (million)
% 8.22/2.61 % (27250)------------------------------
% 8.22/2.61 % (27250)------------------------------
% 8.22/2.63 % (27247)Instruction limit reached!
% 8.22/2.63 % (27247)------------------------------
% 8.22/2.63 % (27247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.63 % (27247)Termination reason: Unknown
% 8.22/2.63 % (27247)Termination phase: Saturation
% 8.22/2.63
% 8.22/2.63 % (27247)Memory used [KB]: 6396
% 8.22/2.63 % (27247)Time elapsed: 0.128 s
% 8.22/2.63 % (27247)Instructions burned: 300 (million)
% 8.22/2.63 % (27247)------------------------------
% 8.22/2.63 % (27247)------------------------------
% 8.22/2.63 % (27252)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_27044 for (2990ds/458Mi)
% 8.22/2.63 % (27253)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_27044 for (2990ds/31Mi)
% 8.22/2.64 % (27253)Instruction limit reached!
% 8.22/2.64 % (27253)------------------------------
% 8.22/2.64 % (27253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.64 % (27253)Termination reason: Unknown
% 8.22/2.64 % (27253)Termination phase: Property scanning
% 8.22/2.64
% 8.22/2.64 % (27253)Memory used [KB]: 1535
% 8.22/2.64 % (27253)Time elapsed: 0.016 s
% 8.22/2.64 % (27253)Instructions burned: 33 (million)
% 8.22/2.64 % (27253)------------------------------
% 8.22/2.64 % (27253)------------------------------
% 8.22/2.64 % (27254)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_27044 for (2989ds/297Mi)
% 8.22/2.66 % (27255)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_27044 for (2989ds/987Mi)
% 8.22/2.68 % (27249)Instruction limit reached!
% 8.22/2.68 % (27249)------------------------------
% 8.22/2.68 % (27249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.68 % (27249)Termination reason: Unknown
% 8.22/2.68 % (27249)Termination phase: Saturation
% 8.22/2.68
% 8.22/2.68 % (27249)Memory used [KB]: 6908
% 8.22/2.68 % (27249)Time elapsed: 0.148 s
% 8.22/2.68 % (27249)Instructions burned: 258 (million)
% 8.22/2.68 % (27249)------------------------------
% 8.22/2.68 % (27249)------------------------------
% 8.22/2.68 % (27224)Instruction limit reached!
% 8.22/2.68 % (27224)------------------------------
% 8.22/2.68 % (27224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.68 % (27224)Termination reason: Unknown
% 8.22/2.68 % (27224)Termination phase: Saturation
% 8.22/2.68
% 8.22/2.68 % (27224)Memory used [KB]: 9594
% 8.22/2.68 % (27224)Time elapsed: 0.545 s
% 8.22/2.68 % (27224)Instructions burned: 1087 (million)
% 8.22/2.68 % (27224)------------------------------
% 8.22/2.68 % (27224)------------------------------
% 8.22/2.69 % (27242)Instruction limit reached!
% 8.22/2.69 % (27242)------------------------------
% 8.22/2.69 % (27242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.22/2.69 % (27242)Termination reason: Unknown
% 8.22/2.69 % (27242)Termination phase: Saturation
% 8.22/2.69
% 8.22/2.69 % (27242)Memory used [KB]: 7931
% 8.22/2.69 % (27242)Time elapsed: 0.301 s
% 8.22/2.69 % (27242)Instructions burned: 615 (million)
% 8.22/2.69 % (27242)------------------------------
% 8.22/2.69 % (27242)------------------------------
% 9.58/2.70 % (27256)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_27044 for (2989ds/182Mi)
% 9.58/2.70 % (27257)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_27044 for (2989ds/182Mi)
% 9.58/2.71 % (27258)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_27044 for (2989ds/154Mi)
% 9.58/2.71 % (27251)Instruction limit reached!
% 9.58/2.71 % (27251)------------------------------
% 9.58/2.71 % (27251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/2.71 % (27251)Termination reason: Unknown
% 9.58/2.71 % (27251)Termination phase: Saturation
% 9.58/2.71
% 9.58/2.71 % (27251)Memory used [KB]: 9210
% 9.58/2.71 % (27251)Time elapsed: 0.139 s
% 9.58/2.71 % (27251)Instructions burned: 231 (million)
% 9.58/2.71 % (27251)------------------------------
% 9.58/2.71 % (27251)------------------------------
% 9.58/2.73 % (27259)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_27044 for (2989ds/79Mi)
% 9.58/2.76 % (27254)Instruction limit reached!
% 9.58/2.76 % (27254)------------------------------
% 9.58/2.76 % (27254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/2.76 % (27254)Termination reason: Unknown
% 9.58/2.76 % (27254)Termination phase: Saturation
% 9.58/2.76
% 9.58/2.76 % (27254)Memory used [KB]: 7036
% 9.58/2.76 % (27254)Time elapsed: 0.119 s
% 9.58/2.76 % (27254)Instructions burned: 297 (million)
% 9.58/2.76 % (27254)------------------------------
% 9.58/2.76 % (27254)------------------------------
% 9.58/2.77 % (27259)Instruction limit reached!
% 9.58/2.77 % (27259)------------------------------
% 9.58/2.77 % (27259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/2.77 % (27259)Termination reason: Unknown
% 9.58/2.77 % (27259)Termination phase: Saturation
% 9.58/2.77
% 9.58/2.77 % (27259)Memory used [KB]: 6268
% 9.58/2.77 % (27259)Time elapsed: 0.037 s
% 9.58/2.77 % (27259)Instructions burned: 79 (million)
% 9.58/2.77 % (27259)------------------------------
% 9.58/2.77 % (27259)------------------------------
% 9.58/2.77 % (27258)Instruction limit reached!
% 9.58/2.77 % (27258)------------------------------
% 9.58/2.77 % (27258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/2.77 % (27258)Termination reason: Unknown
% 9.58/2.77 % (27258)Termination phase: Saturation
% 9.58/2.77
% 9.58/2.77 % (27258)Memory used [KB]: 6140
% 9.58/2.77 % (27258)Time elapsed: 0.061 s
% 9.58/2.77 % (27258)Instructions burned: 154 (million)
% 9.58/2.77 % (27258)------------------------------
% 9.58/2.77 % (27258)------------------------------
% 9.58/2.78 % (27260)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_27044 for (2988ds/216Mi)
% 9.58/2.78 % (27261)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_27044 for (2988ds/114Mi)
% 9.58/2.78 % (27256)Instruction limit reached!
% 9.58/2.78 % (27256)------------------------------
% 9.58/2.78 % (27256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/2.78 % (27256)Termination reason: Unknown
% 9.58/2.78 % (27256)Termination phase: Saturation
% 9.58/2.78
% 9.58/2.78 % (27256)Memory used [KB]: 6780
% 9.58/2.78 % (27256)Time elapsed: 0.088 s
% 9.58/2.78 % (27256)Instructions burned: 182 (million)
% 9.58/2.78 % (27256)------------------------------
% 9.58/2.78 % (27256)------------------------------
% 9.58/2.78 % (27262)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_27044 for (2988ds/922Mi)
% 9.58/2.79 % (27257)Instruction limit reached!
% 9.58/2.79 % (27257)------------------------------
% 9.58/2.79 % (27257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/2.79 % (27257)Termination reason: Unknown
% 9.58/2.79 % (27257)Termination phase: Saturation
% 9.58/2.79
% 9.58/2.79 % (27257)Memory used [KB]: 8187
% 9.58/2.79 % (27257)Time elapsed: 0.094 s
% 9.58/2.79 % (27257)Instructions burned: 182 (million)
% 9.58/2.79 % (27257)------------------------------
% 9.58/2.79 % (27257)------------------------------
% 10.18/2.80 % (27263)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_27044 for (2988ds/182Mi)
% 10.18/2.81 % (27264)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_27044 for (2988ds/164Mi)
% 10.18/2.84 % (27261)Instruction limit reached!
% 10.18/2.84 % (27261)------------------------------
% 10.18/2.84 % (27261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.18/2.84 % (27261)Termination reason: Unknown
% 10.18/2.84 % (27261)Termination phase: Saturation
% 10.18/2.84
% 10.18/2.84 % (27261)Memory used [KB]: 6652
% 10.18/2.84 % (27261)Time elapsed: 0.054 s
% 10.18/2.84 % (27261)Instructions burned: 115 (million)
% 10.18/2.84 % (27261)------------------------------
% 10.18/2.84 % (27261)------------------------------
% 10.18/2.85 % (27252)Instruction limit reached!
% 10.18/2.85 % (27252)------------------------------
% 10.18/2.85 % (27252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.18/2.85 % (27252)Termination reason: Unknown
% 10.18/2.85 % (27252)Termination phase: Saturation
% 10.18/2.85
% 10.18/2.85 % (27252)Memory used [KB]: 7419
% 10.18/2.85 % (27252)Time elapsed: 0.225 s
% 10.18/2.85 % (27252)Instructions burned: 458 (million)
% 10.18/2.85 % (27252)------------------------------
% 10.18/2.85 % (27252)------------------------------
% 10.18/2.85 % (27265)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_27044 for (2987ds/50Mi)
% 10.18/2.86 % (27260)Instruction limit reached!
% 10.18/2.86 % (27260)------------------------------
% 10.18/2.86 % (27260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.18/2.86 % (27260)Termination reason: Unknown
% 10.18/2.86 % (27260)Termination phase: Saturation
% 10.18/2.86
% 10.18/2.86 % (27260)Memory used [KB]: 7164
% 10.18/2.86 % (27260)Time elapsed: 0.086 s
% 10.18/2.86 % (27260)Instructions burned: 218 (million)
% 10.18/2.86 % (27260)------------------------------
% 10.18/2.86 % (27260)------------------------------
% 10.18/2.87 % (27266)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_27044 for (2987ds/368Mi)
% 10.18/2.87 % (27263)Instruction limit reached!
% 10.18/2.87 % (27263)------------------------------
% 10.18/2.87 % (27263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.18/2.87 % (27263)Termination reason: Unknown
% 10.18/2.87 % (27263)Termination phase: Saturation
% 10.18/2.87
% 10.18/2.87 % (27263)Memory used [KB]: 6140
% 10.18/2.87 % (27263)Time elapsed: 0.073 s
% 10.18/2.87 % (27263)Instructions burned: 182 (million)
% 10.18/2.87 % (27263)------------------------------
% 10.18/2.87 % (27263)------------------------------
% 10.18/2.87 % (27265)Instruction limit reached!
% 10.18/2.87 % (27265)------------------------------
% 10.18/2.87 % (27265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.18/2.87 % (27265)Termination reason: Unknown
% 10.18/2.87 % (27265)Termination phase: Saturation
% 10.18/2.87
% 10.18/2.87 % (27265)Memory used [KB]: 10490
% 10.18/2.87 % (27265)Time elapsed: 0.024 s
% 10.18/2.87 % (27265)Instructions burned: 51 (million)
% 10.18/2.87 % (27265)------------------------------
% 10.18/2.87 % (27265)------------------------------
% 10.18/2.88 % (27267)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_27044 for (2987ds/1021Mi)
% 10.18/2.88 % (27264)Instruction limit reached!
% 10.18/2.88 % (27264)------------------------------
% 10.18/2.88 % (27264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.18/2.88 % (27264)Termination reason: Unknown
% 10.18/2.88 % (27264)Termination phase: Saturation
% 10.18/2.88
% 10.18/2.88 % (27264)Memory used [KB]: 1918
% 10.18/2.88 % (27264)Time elapsed: 0.078 s
% 10.18/2.88 % (27264)Instructions burned: 164 (million)
% 10.18/2.88 % (27264)------------------------------
% 10.18/2.88 % (27264)------------------------------
% 10.18/2.89 % (27268)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_27044 for (2987ds/267Mi)
% 10.18/2.89 % (27269)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_27044 for (2987ds/204Mi)
% 10.81/2.90 % (27270)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_27044 for (2987ds/26Mi)
% 10.81/2.91 % (27270)Instruction limit reached!
% 10.81/2.91 % (27270)------------------------------
% 10.81/2.91 % (27270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.81/2.91 % (27270)Termination reason: Unknown
% 10.81/2.91 % (27270)Termination phase: Property scanning
% 10.81/2.91
% 10.81/2.91 % (27270)Memory used [KB]: 1407
% 10.81/2.91 % (27270)Time elapsed: 0.013 s
% 10.81/2.91 % (27270)Instructions burned: 26 (million)
% 10.81/2.91 % (27270)------------------------------
% 10.81/2.91 % (27270)------------------------------
% 10.81/2.93 % (27271)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_27044 for (2987ds/53Mi)
% 10.81/2.95 % (27271)Instruction limit reached!
% 10.81/2.95 % (27271)------------------------------
% 10.81/2.95 % (27271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.81/2.95 % (27271)Termination reason: Unknown
% 10.81/2.95 % (27271)Termination phase: Saturation
% 10.81/2.95
% 10.81/2.95 % (27271)Memory used [KB]: 6012
% 10.81/2.95 % (27271)Time elapsed: 0.025 s
% 10.81/2.95 % (27271)Instructions burned: 55 (million)
% 10.81/2.95 % (27271)------------------------------
% 10.81/2.95 % (27271)------------------------------
% 10.81/2.98 % (27272)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_27044 for (2986ds/4436Mi)
% 10.81/2.99 % (27269)Instruction limit reached!
% 10.81/2.99 % (27269)------------------------------
% 10.81/2.99 % (27269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.81/2.99 % (27269)Termination reason: Unknown
% 10.81/2.99 % (27269)Termination phase: Saturation
% 10.81/2.99
% 10.81/2.99 % (27269)Memory used [KB]: 6780
% 10.81/2.99 % (27269)Time elapsed: 0.099 s
% 10.81/2.99 % (27269)Instructions burned: 205 (million)
% 10.81/2.99 % (27269)------------------------------
% 10.81/2.99 % (27269)------------------------------
% 10.81/2.99 % (27268)Instruction limit reached!
% 10.81/2.99 % (27268)------------------------------
% 10.81/2.99 % (27268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.81/2.99 % (27268)Termination reason: Unknown
% 10.81/2.99 % (27268)Termination phase: Saturation
% 10.81/2.99
% 10.81/2.99 % (27268)Memory used [KB]: 7675
% 10.81/2.99 % (27268)Time elapsed: 0.107 s
% 10.81/2.99 % (27268)Instructions burned: 268 (million)
% 10.81/2.99 % (27268)------------------------------
% 10.81/2.99 % (27268)------------------------------
% 10.81/3.00 % (27273)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_27044 for (2986ds/1539Mi)
% 10.81/3.01 % (27274)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_27044 for (2986ds/408Mi)
% 12.03/3.03 % (27255)Instruction limit reached!
% 12.03/3.03 % (27255)------------------------------
% 12.03/3.03 % (27255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.03/3.03 % (27255)Termination reason: Unknown
% 12.03/3.03 % (27255)Termination phase: Saturation
% 12.03/3.03
% 12.03/3.03 % (27255)Memory used [KB]: 7291
% 12.03/3.03 % (27255)Time elapsed: 0.371 s
% 12.03/3.03 % (27255)Instructions burned: 989 (million)
% 12.03/3.03 % (27255)------------------------------
% 12.03/3.03 % (27255)------------------------------
% 12.03/3.04 % (27266)Instruction limit reached!
% 12.03/3.04 % (27266)------------------------------
% 12.03/3.04 % (27266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.03/3.04 % (27266)Termination reason: Unknown
% 12.03/3.04 % (27266)Termination phase: Saturation
% 12.03/3.04
% 12.03/3.04 % (27266)Memory used [KB]: 7036
% 12.03/3.04 % (27275)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_27044 for (2986ds/5205Mi)
% 12.03/3.04 % (27266)Time elapsed: 0.179 s
% 12.03/3.04 % (27266)Instructions burned: 369 (million)
% 12.03/3.04 % (27266)------------------------------
% 12.03/3.04 % (27266)------------------------------
% 12.03/3.06 % (27276)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_27044 for (2985ds/1913Mi)
% 13.01/3.22 % (27274)Instruction limit reached!
% 13.01/3.22 % (27274)------------------------------
% 13.01/3.22 % (27274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.01/3.22 % (27274)Termination reason: Unknown
% 13.01/3.22 % (27274)Termination phase: Saturation
% 13.01/3.22
% 13.01/3.22 % (27274)Memory used [KB]: 8571
% 13.01/3.22 % (27274)Time elapsed: 0.210 s
% 13.01/3.22 % (27274)Instructions burned: 408 (million)
% 13.01/3.22 % (27274)------------------------------
% 13.01/3.22 % (27274)------------------------------
% 13.01/3.23 % (27277)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_27044 for (2984ds/4350Mi)
% 13.01/3.24 % (27262)Instruction limit reached!
% 13.01/3.24 % (27262)------------------------------
% 13.01/3.24 % (27262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.01/3.24 % (27262)Termination reason: Unknown
% 13.01/3.24 % (27262)Termination phase: Saturation
% 13.01/3.24
% 13.01/3.24 % (27262)Memory used [KB]: 8955
% 13.01/3.24 % (27262)Time elapsed: 0.461 s
% 13.01/3.24 % (27262)Instructions burned: 922 (million)
% 13.01/3.24 % (27262)------------------------------
% 13.01/3.24 % (27262)------------------------------
% 13.01/3.26 % (27278)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_27044 for (2983ds/68Mi)
% 13.01/3.29 % (27278)Instruction limit reached!
% 13.01/3.29 % (27278)------------------------------
% 13.01/3.29 % (27278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.01/3.29 % (27278)Termination reason: Unknown
% 13.01/3.29 % (27278)Termination phase: Saturation
% 13.01/3.29
% 13.01/3.29 % (27278)Memory used [KB]: 6268
% 13.01/3.29 % (27278)Time elapsed: 0.029 s
% 13.01/3.29 % (27278)Instructions burned: 69 (million)
% 13.01/3.29 % (27278)------------------------------
% 13.01/3.29 % (27278)------------------------------
% 13.44/3.30 % (27279)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_27044 for (2983ds/358Mi)
% 13.44/3.38 % (27267)Instruction limit reached!
% 13.44/3.38 % (27267)------------------------------
% 13.44/3.38 % (27267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.44/3.38 % (27267)Termination reason: Unknown
% 13.44/3.38 % (27267)Termination phase: Saturation
% 13.44/3.38
% 13.44/3.38 % (27267)Memory used [KB]: 9594
% 13.44/3.38 % (27267)Time elapsed: 0.516 s
% 13.44/3.38 % (27267)Instructions burned: 1021 (million)
% 13.44/3.38 % (27267)------------------------------
% 13.44/3.38 % (27267)------------------------------
% 13.74/3.40 % (27280)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_27044 for (2982ds/31Mi)
% 13.74/3.42 % (27280)Instruction limit reached!
% 13.74/3.42 % (27280)------------------------------
% 13.74/3.42 % (27280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.74/3.42 % (27280)Termination reason: Unknown
% 13.74/3.42 % (27280)Termination phase: Function definition elimination
% 13.74/3.42
% 13.74/3.42 % (27280)Memory used [KB]: 1535
% 13.74/3.42 % (27280)Time elapsed: 0.016 s
% 13.74/3.42 % (27280)Instructions burned: 32 (million)
% 13.74/3.42 % (27280)------------------------------
% 13.74/3.42 % (27280)------------------------------
% 13.74/3.43 % (27281)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_27044 for (2982ds/279Mi)
% 13.74/3.47 % (27279)Instruction limit reached!
% 13.74/3.47 % (27279)------------------------------
% 13.74/3.47 % (27279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.74/3.47 % (27279)Termination reason: Unknown
% 13.74/3.47 % (27279)Termination phase: Saturation
% 13.74/3.47
% 13.74/3.47 % (27279)Memory used [KB]: 7036
% 13.74/3.47 % (27279)Time elapsed: 0.170 s
% 13.74/3.47 % (27279)Instructions burned: 359 (million)
% 13.74/3.47 % (27279)------------------------------
% 13.74/3.47 % (27279)------------------------------
% 13.74/3.48 % (27282)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_27044 for (2981ds/258Mi)
% 14.15/3.54 % (27281)Instruction limit reached!
% 14.15/3.54 % (27281)------------------------------
% 14.15/3.54 % (27281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.15/3.55 % (27281)Termination reason: Unknown
% 14.15/3.55 % (27281)Termination phase: Saturation
% 14.15/3.55
% 14.15/3.55 % (27281)Memory used [KB]: 6396
% 14.15/3.55 % (27281)Time elapsed: 0.115 s
% 14.15/3.55 % (27281)Instructions burned: 281 (million)
% 14.15/3.55 % (27281)------------------------------
% 14.15/3.55 % (27281)------------------------------
% 14.15/3.56 % (27283)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_27044 for (2980ds/26Mi)
% 14.15/3.57 % (27283)Instruction limit reached!
% 14.15/3.57 % (27283)------------------------------
% 14.15/3.57 % (27283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.15/3.57 % (27283)Termination reason: Unknown
% 14.15/3.57 % (27283)Termination phase: Property scanning
% 14.15/3.57
% 14.15/3.57 % (27283)Memory used [KB]: 1407
% 14.15/3.57 % (27283)Time elapsed: 0.014 s
% 14.15/3.57 % (27283)Instructions burned: 28 (million)
% 14.15/3.57 % (27283)------------------------------
% 14.15/3.57 % (27283)------------------------------
% 14.15/3.59 % (27284)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_27044 for (2980ds/995Mi)
% 14.50/3.60 % (27282)Instruction limit reached!
% 14.50/3.60 % (27282)------------------------------
% 14.50/3.60 % (27282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.50/3.60 % (27282)Termination reason: Unknown
% 14.50/3.60 % (27282)Termination phase: Saturation
% 14.50/3.60
% 14.50/3.60 % (27282)Memory used [KB]: 7164
% 14.50/3.60 % (27282)Time elapsed: 0.119 s
% 14.50/3.60 % (27282)Instructions burned: 259 (million)
% 14.50/3.60 % (27282)------------------------------
% 14.50/3.60 % (27282)------------------------------
% 14.50/3.62 % (27285)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_27044 for (2980ds/373Mi)
% 14.84/3.75 % (27273)Instruction limit reached!
% 14.84/3.75 % (27273)------------------------------
% 14.84/3.75 % (27273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.84/3.75 % (27273)Termination reason: Unknown
% 14.84/3.75 % (27273)Termination phase: Saturation
% 14.84/3.75
% 14.84/3.75 % (27273)Memory used [KB]: 8443
% 14.84/3.75 % (27273)Time elapsed: 0.751 s
% 14.84/3.75 % (27273)Instructions burned: 1539 (million)
% 14.84/3.75 % (27273)------------------------------
% 14.84/3.75 % (27273)------------------------------
% 14.84/3.77 % (27286)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_27044 for (2978ds/253Mi)
% 15.00/3.80 % (27285)Instruction limit reached!
% 15.00/3.80 % (27285)------------------------------
% 15.00/3.80 % (27285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.00/3.80 % (27285)Termination reason: Unknown
% 15.00/3.80 % (27285)Termination phase: Saturation
% 15.00/3.80
% 15.00/3.80 % (27285)Memory used [KB]: 7036
% 15.00/3.80 % (27285)Time elapsed: 0.206 s
% 15.00/3.80 % (27285)Instructions burned: 374 (million)
% 15.00/3.80 % (27285)------------------------------
% 15.00/3.80 % (27285)------------------------------
% 15.00/3.81 % (27287)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_27044 for (2978ds/832Mi)
% 15.00/3.87 % (27286)Instruction limit reached!
% 15.00/3.87 % (27286)------------------------------
% 15.00/3.87 % (27286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.00/3.87 % (27286)Termination reason: Unknown
% 15.00/3.87 % (27286)Termination phase: Saturation
% 15.00/3.87
% 15.00/3.87 % (27286)Memory used [KB]: 6140
% 15.00/3.87 % (27286)Time elapsed: 0.100 s
% 15.00/3.87 % (27286)Instructions burned: 254 (million)
% 15.00/3.87 % (27286)------------------------------
% 15.00/3.87 % (27286)------------------------------
% 15.00/3.88 % (27288)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_27044 for (2977ds/668Mi)
% 15.41/3.99 % (27284)Instruction limit reached!
% 15.41/3.99 % (27284)------------------------------
% 15.41/3.99 % (27284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.41/3.99 % (27284)Termination reason: Unknown
% 15.41/3.99 % (27284)Termination phase: Saturation
% 15.41/3.99
% 15.41/3.99 % (27284)Memory used [KB]: 7675
% 15.41/3.99 % (27284)Time elapsed: 0.401 s
% 15.41/3.99 % (27284)Instructions burned: 995 (million)
% 15.41/3.99 % (27284)------------------------------
% 15.41/3.99 % (27284)------------------------------
% 15.41/3.99 % (27276)Instruction limit reached!
% 15.41/3.99 % (27276)------------------------------
% 15.41/3.99 % (27276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.41/3.99 % (27276)Termination reason: Unknown
% 15.41/3.99 % (27276)Termination phase: Saturation
% 15.41/3.99
% 15.41/3.99 % (27276)Memory used [KB]: 3709
% 15.41/3.99 % (27276)Time elapsed: 0.935 s
% 15.41/3.99 % (27276)Instructions burned: 1914 (million)
% 15.41/3.99 % (27276)------------------------------
% 15.41/3.99 % (27276)------------------------------
% 15.41/4.01 % (27289)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_27044 for (2976ds/40Mi)
% 15.41/4.01 % (27290)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_27044 for (2976ds/294Mi)
% 15.41/4.02 % (27289)Instruction limit reached!
% 15.41/4.02 % (27289)------------------------------
% 15.41/4.02 % (27289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.41/4.02 % (27289)Termination reason: Unknown
% 15.41/4.02 % (27289)Termination phase: Property scanning
% 15.41/4.02
% 15.41/4.02 % (27289)Memory used [KB]: 1535
% 15.41/4.02 % (27289)Time elapsed: 0.019 s
% 15.41/4.02 % (27289)Instructions burned: 40 (million)
% 15.41/4.02 % (27289)------------------------------
% 15.41/4.02 % (27289)------------------------------
% 19.11/4.04 % (27291)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_27044 for (2975ds/187Mi)
% 19.72/4.13 % (27291)Instruction limit reached!
% 19.72/4.13 % (27291)------------------------------
% 19.72/4.13 % (27291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.72/4.13 % (27291)Termination reason: Unknown
% 19.72/4.13 % (27291)Termination phase: Saturation
% 19.72/4.13
% 19.72/4.13 % (27291)Memory used [KB]: 6908
% 19.72/4.13 % (27291)Time elapsed: 0.095 s
% 19.72/4.13 % (27291)Instructions burned: 189 (million)
% 19.72/4.13 % (27291)------------------------------
% 19.72/4.13 % (27291)------------------------------
% 19.72/4.13 % (27290)Instruction limit reached!
% 19.72/4.13 % (27290)------------------------------
% 19.72/4.13 % (27290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.72/4.13 % (27290)Termination reason: Unknown
% 19.72/4.13 % (27290)Termination phase: Saturation
% 19.72/4.13
% 19.72/4.13 % (27290)Memory used [KB]: 6140
% 19.72/4.13 % (27290)Time elapsed: 0.126 s
% 19.72/4.13 % (27290)Instructions burned: 295 (million)
% 19.72/4.13 % (27290)------------------------------
% 19.72/4.13 % (27290)------------------------------
% 19.72/4.14 % (27288)Instruction limit reached!
% 19.72/4.14 % (27288)------------------------------
% 19.72/4.14 % (27288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.72/4.14 % (27288)Termination reason: Unknown
% 19.72/4.14 % (27288)Termination phase: Saturation
% 19.72/4.14
% 19.72/4.14 % (27288)Memory used [KB]: 11897
% 19.72/4.14 % (27288)Time elapsed: 0.261 s
% 19.72/4.14 % (27288)Instructions burned: 669 (million)
% 19.72/4.14 % (27288)------------------------------
% 19.72/4.14 % (27288)------------------------------
% 19.72/4.15 % (27292)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_27044 for (2974ds/371Mi)
% 19.72/4.15 % (27293)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_27044 for (2974ds/1827Mi)
% 19.72/4.16 % (27294)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_27044 for (2974ds/70Mi)
% 19.72/4.19 % (27294)Instruction limit reached!
% 19.72/4.19 % (27294)------------------------------
% 19.72/4.19 % (27294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.72/4.19 % (27294)Termination reason: Unknown
% 19.72/4.19 % (27294)Termination phase: Saturation
% 19.72/4.19
% 19.72/4.19 % (27294)Memory used [KB]: 1535
% 19.72/4.19 % (27294)Time elapsed: 0.031 s
% 19.72/4.19 % (27294)Instructions burned: 70 (million)
% 19.72/4.19 % (27294)------------------------------
% 19.72/4.19 % (27294)------------------------------
% 20.23/4.21 % (27295)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_27044 for (2974ds/316Mi)
% 20.23/4.22 % (27287)Instruction limit reached!
% 20.23/4.22 % (27287)------------------------------
% 20.23/4.22 % (27287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.23/4.22 % (27287)Termination reason: Unknown
% 20.23/4.22 % (27287)Termination phase: Saturation
% 20.23/4.22
% 20.23/4.22 % (27287)Memory used [KB]: 7931
% 20.23/4.22 % (27287)Time elapsed: 0.410 s
% 20.23/4.22 % (27287)Instructions burned: 833 (million)
% 20.23/4.22 % (27287)------------------------------
% 20.23/4.22 % (27287)------------------------------
% 20.23/4.24 % (27296)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_27044 for (2974ds/932Mi)
% 20.55/4.32 % (27295)Instruction limit reached!
% 20.55/4.32 % (27295)------------------------------
% 20.55/4.32 % (27295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.55/4.32 % (27295)Termination reason: Unknown
% 20.55/4.32 % (27295)Termination phase: Saturation
% 20.55/4.32
% 20.55/4.32 % (27295)Memory used [KB]: 6652
% 20.55/4.32 % (27295)Time elapsed: 0.117 s
% 20.55/4.32 % (27295)Instructions burned: 316 (million)
% 20.55/4.32 % (27295)------------------------------
% 20.55/4.32 % (27295)------------------------------
% 20.55/4.33 % (27292)Instruction limit reached!
% 20.55/4.33 % (27292)------------------------------
% 20.55/4.33 % (27292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.55/4.33 % (27292)Termination reason: Unknown
% 20.55/4.33 % (27292)Termination phase: Saturation
% 20.55/4.33
% 20.55/4.33 % (27292)Memory used [KB]: 7036
% 20.55/4.33 % (27292)Time elapsed: 0.183 s
% 20.55/4.33 % (27292)Instructions burned: 372 (million)
% 20.55/4.33 % (27292)------------------------------
% 20.55/4.33 % (27292)------------------------------
% 20.55/4.34 % (27297)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_27044 for (2973ds/4714Mi)
% 20.55/4.35 % (27298)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_27044 for (2972ds/8250Mi)
% 21.77/4.61 % (27296)Instruction limit reached!
% 21.77/4.61 % (27296)------------------------------
% 21.77/4.61 % (27296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.77/4.61 % (27296)Termination reason: Unknown
% 21.77/4.61 % (27296)Termination phase: Saturation
% 21.77/4.61
% 21.77/4.61 % (27296)Memory used [KB]: 7803
% 21.77/4.61 % (27296)Time elapsed: 0.371 s
% 21.77/4.61 % (27296)Instructions burned: 935 (million)
% 21.77/4.61 % (27296)------------------------------
% 21.77/4.61 % (27296)------------------------------
% 21.77/4.63 % (27299)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_27044 for (2970ds/770Mi)
% 23.05/4.96 % (27299)Instruction limit reached!
% 23.05/4.96 % (27299)------------------------------
% 23.05/4.96 % (27299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.05/4.96 % (27299)Termination reason: Unknown
% 23.05/4.96 % (27299)Termination phase: Saturation
% 23.05/4.96
% 23.05/4.96 % (27299)Memory used [KB]: 6268
% 23.05/4.96 % (27299)Time elapsed: 0.337 s
% 23.05/4.96 % (27299)Instructions burned: 770 (million)
% 23.05/4.96 % (27299)------------------------------
% 23.05/4.96 % (27299)------------------------------
% 23.05/4.97 % (27300)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_27044 for (2966ds/794Mi)
% 26.05/5.04 % (27293)Instruction limit reached!
% 26.05/5.04 % (27293)------------------------------
% 26.05/5.04 % (27293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.05/5.04 % (27293)Termination reason: Unknown
% 26.05/5.04 % (27293)Termination phase: Saturation
% 26.05/5.04
% 26.05/5.04 % (27293)Memory used [KB]: 14072
% 26.05/5.04 % (27293)Time elapsed: 0.890 s
% 26.05/5.04 % (27293)Instructions burned: 1827 (million)
% 26.05/5.04 % (27293)------------------------------
% 26.05/5.04 % (27293)------------------------------
% 26.05/5.06 % (27301)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_27044 for (2965ds/464Mi)
% 26.67/5.14 % (27275)Instruction limit reached!
% 26.67/5.14 % (27275)------------------------------
% 26.67/5.14 % (27275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.67/5.14 % (27275)Termination reason: Unknown
% 26.67/5.14 % (27275)Termination phase: Saturation
% 26.67/5.14
% 26.67/5.14 % (27275)Memory used [KB]: 11769
% 26.67/5.14 % (27275)Time elapsed: 2.102 s
% 26.67/5.14 % (27275)Instructions burned: 5206 (million)
% 26.67/5.14 % (27275)------------------------------
% 26.67/5.14 % (27275)------------------------------
% 26.67/5.17 % (27302)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_27044 for (2964ds/1376Mi)
% 27.06/5.21 % (27272)Instruction limit reached!
% 27.06/5.21 % (27272)------------------------------
% 27.06/5.21 % (27272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.06/5.21 % (27272)Termination reason: Unknown
% 27.06/5.21 % (27272)Termination phase: Saturation
% 27.06/5.21
% 27.06/5.21 % (27272)Memory used [KB]: 14200
% 27.06/5.21 % (27272)Time elapsed: 2.258 s
% 27.06/5.21 % (27272)Instructions burned: 4436 (million)
% 27.06/5.21 % (27272)------------------------------
% 27.06/5.21 % (27272)------------------------------
% 27.06/5.23 % (27303)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_27044 for (2964ds/906Mi)
% 27.06/5.26 % (27301)Instruction limit reached!
% 27.06/5.26 % (27301)------------------------------
% 27.06/5.26 % (27301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.06/5.26 % (27301)Termination reason: Unknown
% 27.06/5.26 % (27301)Termination phase: Saturation
% 27.06/5.26
% 27.06/5.26 % (27301)Memory used [KB]: 6908
% 27.06/5.26 % (27301)Time elapsed: 0.215 s
% 27.06/5.26 % (27301)Instructions burned: 466 (million)
% 27.06/5.26 % (27301)------------------------------
% 27.06/5.26 % (27301)------------------------------
% 27.06/5.28 % (27304)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_27044 for (2963ds/434Mi)
% 27.65/5.34 % (27300)Instruction limit reached!
% 27.65/5.34 % (27300)------------------------------
% 27.65/5.34 % (27300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.65/5.34 % (27300)Termination reason: Unknown
% 27.65/5.34 % (27300)Termination phase: Saturation
% 27.65/5.34
% 27.65/5.34 % (27300)Memory used [KB]: 3709
% 27.65/5.34 % (27300)Time elapsed: 0.367 s
% 27.65/5.34 % (27300)Instructions burned: 796 (million)
% 27.65/5.34 % (27300)------------------------------
% 27.65/5.34 % (27300)------------------------------
% 27.65/5.36 % (27305)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_27044 for (2962ds/865Mi)
% 27.65/5.36 % (27277)Instruction limit reached!
% 27.65/5.36 % (27277)------------------------------
% 27.65/5.36 % (27277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.65/5.36 % (27277)Termination reason: Unknown
% 27.65/5.36 % (27277)Termination phase: Saturation
% 27.65/5.36
% 27.65/5.36 % (27277)Memory used [KB]: 10618
% 27.65/5.36 % (27277)Time elapsed: 2.132 s
% 27.65/5.36 % (27277)Instructions burned: 4350 (million)
% 27.65/5.36 % (27277)------------------------------
% 27.65/5.36 % (27277)------------------------------
% 27.65/5.38 % (27306)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_27044 for (2962ds/593Mi)
% 27.98/5.48 % (27304)Instruction limit reached!
% 27.98/5.48 % (27304)------------------------------
% 27.98/5.48 % (27304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.98/5.48 % (27304)Termination reason: Unknown
% 27.98/5.48 % (27304)Termination phase: Saturation
% 27.98/5.48
% 27.98/5.48 % (27304)Memory used [KB]: 8315
% 27.98/5.48 % (27304)Time elapsed: 0.206 s
% 27.98/5.48 % (27304)Instructions burned: 435 (million)
% 27.98/5.48 % (27304)------------------------------
% 27.98/5.48 % (27304)------------------------------
% 28.40/5.50 % (27307)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_27044 for (2961ds/443Mi)
% 28.60/5.61 % (27306)Instruction limit reached!
% 28.60/5.61 % (27306)------------------------------
% 28.60/5.61 % (27306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.60/5.61 % (27306)Termination reason: Unknown
% 28.60/5.61 % (27306)Termination phase: Saturation
% 28.60/5.61
% 28.60/5.61 % (27306)Memory used [KB]: 6652
% 28.60/5.61 % (27306)Time elapsed: 0.229 s
% 28.60/5.61 % (27306)Instructions burned: 594 (million)
% 28.60/5.61 % (27306)------------------------------
% 28.60/5.61 % (27306)------------------------------
% 28.60/5.63 % (27308)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_27044 for (2960ds/594Mi)
% 28.60/5.67 % (27303)Instruction limit reached!
% 28.60/5.67 % (27303)------------------------------
% 28.60/5.67 % (27303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.60/5.67 % (27303)Termination reason: Unknown
% 28.60/5.67 % (27303)Termination phase: Saturation
% 28.60/5.67
% 28.60/5.67 % (27303)Memory used [KB]: 7931
% 28.60/5.67 % (27303)Time elapsed: 0.455 s
% 28.60/5.67 % (27303)Instructions burned: 907 (million)
% 28.60/5.67 % (27303)------------------------------
% 28.60/5.67 % (27303)------------------------------
% 28.60/5.69 % (27309)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_27044 for (2959ds/327Mi)
% 29.48/5.71 % (27302)Instruction limit reached!
% 29.48/5.71 % (27302)------------------------------
% 29.48/5.71 % (27302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.71 % (27302)Termination reason: Unknown
% 29.48/5.71 % (27302)Termination phase: Saturation
% 29.48/5.71
% 29.48/5.71 % (27302)Memory used [KB]: 7547
% 29.48/5.71 % (27302)Time elapsed: 0.551 s
% 29.48/5.71 % (27302)Instructions burned: 1377 (million)
% 29.48/5.71 % (27302)------------------------------
% 29.48/5.71 % (27302)------------------------------
% 29.48/5.71 % (27307)Instruction limit reached!
% 29.48/5.71 % (27307)------------------------------
% 29.48/5.71 % (27307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.71 % (27307)Termination reason: Unknown
% 29.48/5.71 % (27307)Termination phase: Saturation
% 29.48/5.71
% 29.48/5.72 % (27307)Memory used [KB]: 7164
% 29.48/5.72 % (27307)Time elapsed: 0.219 s
% 29.48/5.72 % (27307)Instructions burned: 444 (million)
% 29.48/5.72 % (27307)------------------------------
% 29.48/5.72 % (27307)------------------------------
% 29.48/5.72 % (27305)Instruction limit reached!
% 29.48/5.72 % (27305)------------------------------
% 29.48/5.72 % (27305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.72 % (27305)Termination reason: Unknown
% 29.48/5.72 % (27305)Termination phase: Saturation
% 29.48/5.72
% 29.48/5.72 % (27305)Memory used [KB]: 7036
% 29.48/5.72 % (27305)Time elapsed: 0.363 s
% 29.48/5.72 % (27305)Instructions burned: 865 (million)
% 29.48/5.72 % (27305)------------------------------
% 29.48/5.72 % (27305)------------------------------
% 29.48/5.73 % (27310)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_27044 for (2959ds/5411Mi)
% 29.48/5.73 % (27311)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_27044 for (2959ds/1762Mi)
% 29.48/5.74 % (27312)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_27044 for (2959ds/96Mi)
% 29.48/5.78 % (27312)Instruction limit reached!
% 29.48/5.78 % (27312)------------------------------
% 29.48/5.78 % (27312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.78 % (27312)Termination reason: Unknown
% 29.48/5.78 % (27312)Termination phase: Saturation
% 29.48/5.78
% 29.48/5.78 % (27312)Memory used [KB]: 6140
% 29.48/5.78 % (27312)Time elapsed: 0.041 s
% 29.48/5.78 % (27312)Instructions burned: 96 (million)
% 29.48/5.78 % (27312)------------------------------
% 29.48/5.78 % (27312)------------------------------
% 29.48/5.78 % (27297)Instruction limit reached!
% 29.48/5.78 % (27297)------------------------------
% 29.48/5.78 % (27297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.78 % (27297)Termination reason: Unknown
% 29.48/5.78 % (27297)Termination phase: Saturation
% 29.48/5.78
% 29.48/5.78 % (27297)Memory used [KB]: 6524
% 29.48/5.78 % (27297)Time elapsed: 1.445 s
% 29.48/5.78 % (27297)Instructions burned: 4715 (million)
% 29.48/5.78 % (27297)------------------------------
% 29.48/5.78 % (27297)------------------------------
% 29.48/5.79 % (27313)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_27044 for (2958ds/503Mi)
% 30.86/5.80 % (27314)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_27044 for (2958ds/90Mi)
% 30.86/5.84 % (27314)Instruction limit reached!
% 30.86/5.84 % (27314)------------------------------
% 30.86/5.84 % (27314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.86/5.84 % (27314)Termination reason: Unknown
% 30.86/5.84 % (27314)Termination phase: Saturation
% 30.86/5.84
% 30.86/5.84 % (27314)Memory used [KB]: 6524
% 30.86/5.84 % (27314)Time elapsed: 0.043 s
% 30.86/5.84 % (27314)Instructions burned: 91 (million)
% 30.86/5.84 % (27314)------------------------------
% 30.86/5.84 % (27314)------------------------------
% 30.86/5.85 % (27309)Instruction limit reached!
% 30.86/5.85 % (27309)------------------------------
% 30.86/5.85 % (27309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.86/5.85 % (27309)Termination reason: Unknown
% 30.86/5.85 % (27309)Termination phase: Saturation
% 30.86/5.85
% 30.86/5.85 % (27309)Memory used [KB]: 8443
% 30.86/5.85 % (27309)Time elapsed: 0.169 s
% 30.86/5.85 % (27309)Instructions burned: 328 (million)
% 30.86/5.85 % (27309)------------------------------
% 30.86/5.85 % (27309)------------------------------
% 30.86/5.86 % (27315)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_27044 for (2957ds/593Mi)
% 30.86/5.87 % (27316)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_27044 for (2957ds/1512Mi)
% 31.20/5.92 % (27308)Instruction limit reached!
% 31.20/5.92 % (27308)------------------------------
% 31.20/5.92 % (27308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.20/5.92 % (27308)Termination reason: Unknown
% 31.20/5.92 % (27308)Termination phase: Saturation
% 31.20/5.92
% 31.20/5.92 % (27308)Memory used [KB]: 7291
% 31.20/5.92 % (27308)Time elapsed: 0.293 s
% 31.20/5.92 % (27308)Instructions burned: 594 (million)
% 31.20/5.92 % (27308)------------------------------
% 31.20/5.92 % (27308)------------------------------
% 31.20/5.93 % (27317)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_27044 for (2957ds/569Mi)
% 32.90/6.04 % (27313)Instruction limit reached!
% 32.90/6.04 % (27313)------------------------------
% 32.90/6.04 % (27313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.90/6.04 % (27313)Termination reason: Unknown
% 32.90/6.04 % (27313)Termination phase: Saturation
% 32.90/6.04
% 32.90/6.04 % (27313)Memory used [KB]: 7164
% 32.90/6.04 % (27313)Time elapsed: 0.249 s
% 32.90/6.04 % (27313)Instructions burned: 504 (million)
% 32.90/6.04 % (27313)------------------------------
% 32.90/6.04 % (27313)------------------------------
% 32.90/6.06 % (27318)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_27044 for (2955ds/501Mi)
% 32.90/6.11 % (27315)Instruction limit reached!
% 32.90/6.11 % (27315)------------------------------
% 32.90/6.11 % (27315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.90/6.11 % (27315)Termination reason: Unknown
% 32.90/6.11 % (27315)Termination phase: Saturation
% 32.90/6.11
% 32.90/6.11 % (27315)Memory used [KB]: 7036
% 32.90/6.11 % (27315)Time elapsed: 0.252 s
% 32.90/6.11 % (27315)Instructions burned: 596 (million)
% 32.90/6.11 % (27315)------------------------------
% 32.90/6.11 % (27315)------------------------------
% 32.90/6.12 % (27319)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_27044 for (2955ds/562Mi)
% 33.53/6.15 % (27317)Instruction limit reached!
% 33.53/6.15 % (27317)------------------------------
% 33.53/6.15 % (27317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.53/6.15 % (27317)Termination reason: Unknown
% 33.53/6.15 % (27317)Termination phase: Saturation
% 33.53/6.15
% 33.53/6.15 % (27317)Memory used [KB]: 7291
% 33.53/6.15 % (27317)Time elapsed: 0.220 s
% 33.53/6.15 % (27317)Instructions burned: 570 (million)
% 33.53/6.15 % (27317)------------------------------
% 33.53/6.15 % (27317)------------------------------
% 33.53/6.17 % (27320)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_27044 for (2954ds/406Mi)
% 33.85/6.23 % (27320)Refutation not found, incomplete strategy
% 33.85/6.23 % (27320)------------------------------
% 33.85/6.23 % (27320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.85/6.23 % (27320)Termination reason: Refutation not found, incomplete strategy
% 33.85/6.23
% 33.85/6.23
% 33.85/6.23 % (27320)Memory used [KB]: 6268
% 33.85/6.23 % (27320)Time elapsed: 0.065 s
% 33.85/6.23 % (27320)Instructions burned: 135 (million)
% 33.85/6.23 % (27320)------------------------------
% 33.85/6.23 % (27320)------------------------------
% 33.85/6.25 % (27321)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_27044 for (2953ds/582Mi)
% 34.32/6.30 % (27318)Instruction limit reached!
% 34.32/6.30 % (27318)------------------------------
% 34.32/6.30 % (27318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.32/6.30 % (27318)Termination reason: Unknown
% 34.32/6.30 % (27318)Termination phase: Saturation
% 34.32/6.30
% 34.32/6.30 % (27318)Memory used [KB]: 8187
% 34.32/6.30 % (27318)Time elapsed: 0.246 s
% 34.32/6.30 % (27318)Instructions burned: 501 (million)
% 34.32/6.30 % (27318)------------------------------
% 34.32/6.30 % (27318)------------------------------
% 34.32/6.32 % (27322)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_27044 for (2953ds/456Mi)
% 34.99/6.40 % (27319)Instruction limit reached!
% 34.99/6.40 % (27319)------------------------------
% 34.99/6.40 % (27319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.99/6.40 % (27319)Termination reason: Unknown
% 34.99/6.40 % (27319)Termination phase: Saturation
% 34.99/6.40
% 34.99/6.40 % (27319)Memory used [KB]: 7164
% 34.99/6.40 % (27319)Time elapsed: 0.276 s
% 34.99/6.40 % (27319)Instructions burned: 563 (million)
% 34.99/6.40 % (27319)------------------------------
% 34.99/6.40 % (27319)------------------------------
% 34.99/6.41 % (27323)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_27044 for (2952ds/393Mi)
% 34.99/6.44 % (27311)Instruction limit reached!
% 34.99/6.44 % (27311)------------------------------
% 34.99/6.44 % (27311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.99/6.44 % (27311)Termination reason: Unknown
% 34.99/6.44 % (27311)Termination phase: Saturation
% 34.99/6.44
% 34.99/6.44 % (27311)Memory used [KB]: 7931
% 34.99/6.44 % (27311)Time elapsed: 0.709 s
% 34.99/6.44 % (27311)Instructions burned: 1764 (million)
% 34.99/6.44 % (27311)------------------------------
% 34.99/6.44 % (27311)------------------------------
% 34.99/6.46 % (27324)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_27044 for (2951ds/1335Mi)
% 35.62/6.53 % (27321)Instruction limit reached!
% 35.62/6.53 % (27321)------------------------------
% 35.62/6.53 % (27321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.62/6.53 % (27321)Termination reason: Unknown
% 35.62/6.53 % (27321)Termination phase: Saturation
% 35.62/6.53
% 35.62/6.53 % (27321)Memory used [KB]: 8059
% 35.62/6.53 % (27321)Time elapsed: 0.288 s
% 35.62/6.53 % (27321)Instructions burned: 582 (million)
% 35.62/6.53 % (27321)------------------------------
% 35.62/6.53 % (27321)------------------------------
% 35.62/6.54 % (27322)Instruction limit reached!
% 35.62/6.54 % (27322)------------------------------
% 35.62/6.54 % (27322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.62/6.54 % (27322)Termination reason: Unknown
% 35.62/6.54 % (27322)Termination phase: Saturation
% 35.62/6.54
% 35.62/6.54 % (27322)Memory used [KB]: 7164
% 35.62/6.54 % (27322)Time elapsed: 0.223 s
% 35.62/6.54 % (27322)Instructions burned: 456 (million)
% 35.62/6.54 % (27322)------------------------------
% 35.62/6.54 % (27322)------------------------------
% 35.62/6.55 % (27325)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_27044 for (2950ds/3373Mi)
% 35.62/6.56 % (27326)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_27044 for (2950ds/474Mi)
% 36.47/6.60 % (27316)Instruction limit reached!
% 36.47/6.60 % (27316)------------------------------
% 36.47/6.60 % (27316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.47/6.60 % (27316)Termination reason: Unknown
% 36.47/6.60 % (27316)Termination phase: Saturation
% 36.47/6.60
% 36.47/6.60 % (27316)Memory used [KB]: 9083
% 36.47/6.60 % (27316)Time elapsed: 0.736 s
% 36.47/6.60 % (27316)Instructions burned: 1513 (million)
% 36.47/6.60 % (27316)------------------------------
% 36.47/6.60 % (27316)------------------------------
% 36.47/6.61 % (27323)Instruction limit reached!
% 36.47/6.61 % (27323)------------------------------
% 36.47/6.61 % (27323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.47/6.61 % (27323)Termination reason: Unknown
% 36.47/6.61 % (27323)Termination phase: Saturation
% 36.47/6.61
% 36.47/6.61 % (27323)Memory used [KB]: 7547
% 36.47/6.61 % (27323)Time elapsed: 0.193 s
% 36.47/6.61 % (27323)Instructions burned: 393 (million)
% 36.47/6.61 % (27323)------------------------------
% 36.47/6.61 % (27323)------------------------------
% 36.47/6.62 % (27327)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_27044 for (2950ds/157Mi)
% 36.47/6.62 % (27328)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_27044 for (2950ds/590Mi)
% 36.47/6.68 % (27327)Instruction limit reached!
% 36.47/6.68 % (27327)------------------------------
% 36.47/6.68 % (27327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.47/6.68 % (27327)Termination reason: Unknown
% 36.47/6.68 % (27327)Termination phase: Saturation
% 36.47/6.68
% 36.47/6.68 % (27327)Memory used [KB]: 6140
% 36.47/6.68 % (27327)Time elapsed: 0.063 s
% 36.47/6.68 % (27327)Instructions burned: 157 (million)
% 36.47/6.68 % (27327)------------------------------
% 36.47/6.68 % (27327)------------------------------
% 36.98/6.70 % (27329)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_27044 for (2949ds/104Mi)
% 36.98/6.73 % (27326)Instruction limit reached!
% 36.98/6.73 % (27326)------------------------------
% 36.98/6.73 % (27326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.98/6.73 % (27326)Termination reason: Unknown
% 36.98/6.73 % (27326)Termination phase: Saturation
% 36.98/6.73
% 36.98/6.73 % (27326)Memory used [KB]: 7291
% 36.98/6.73 % (27326)Time elapsed: 0.180 s
% 36.98/6.73 % (27326)Instructions burned: 474 (million)
% 36.98/6.73 % (27326)------------------------------
% 36.98/6.73 % (27326)------------------------------
% 36.98/6.75 % (27329)Instruction limit reached!
% 36.98/6.75 % (27329)------------------------------
% 36.98/6.75 % (27329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.98/6.75 % (27329)Termination reason: Unknown
% 36.98/6.75 % (27329)Termination phase: Saturation
% 36.98/6.75
% 36.98/6.75 % (27329)Memory used [KB]: 6652
% 36.98/6.75 % (27329)Time elapsed: 0.049 s
% 36.98/6.75 % (27329)Instructions burned: 105 (million)
% 36.98/6.75 % (27329)------------------------------
% 36.98/6.75 % (27329)------------------------------
% 36.98/6.75 % (27330)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_27044 for (2948ds/414Mi)
% 36.98/6.76 % (27331)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_27044 for (2948ds/715Mi)
% 37.65/6.90 % (27328)Instruction limit reached!
% 37.65/6.90 % (27328)------------------------------
% 37.65/6.90 % (27328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.65/6.90 % (27328)Termination reason: Unknown
% 37.65/6.90 % (27328)Termination phase: Saturation
% 37.65/6.90
% 37.65/6.90 % (27328)Memory used [KB]: 8955
% 37.65/6.90 % (27328)Time elapsed: 0.283 s
% 37.65/6.90 % (27328)Instructions burned: 590 (million)
% 37.65/6.90 % (27328)------------------------------
% 37.65/6.90 % (27328)------------------------------
% 37.65/6.91 % (27330)Instruction limit reached!
% 37.65/6.91 % (27330)------------------------------
% 37.65/6.91 % (27330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.65/6.91 % (27330)Termination reason: Unknown
% 37.65/6.91 % (27330)Termination phase: Saturation
% 37.65/6.91
% 37.65/6.91 % (27330)Memory used [KB]: 6140
% 37.65/6.91 % (27330)Time elapsed: 0.162 s
% 37.65/6.91 % (27330)Instructions burned: 415 (million)
% 37.65/6.91 % (27330)------------------------------
% 37.65/6.91 % (27330)------------------------------
% 37.65/6.92 % (27332)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_27044 for (2947ds/961Mi)
% 37.65/6.93 % (27333)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_27044 for (2947ds/1213Mi)
% 39.93/7.07 % (27324)Instruction limit reached!
% 39.93/7.07 % (27324)------------------------------
% 39.93/7.07 % (27324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.93/7.07 % (27324)Termination reason: Unknown
% 39.93/7.07 % (27324)Termination phase: Saturation
% 39.93/7.07
% 39.93/7.07 % (27324)Memory used [KB]: 7291
% 39.93/7.07 % (27324)Time elapsed: 0.618 s
% 39.93/7.07 % (27324)Instructions burned: 1336 (million)
% 39.93/7.07 % (27324)------------------------------
% 39.93/7.07 % (27324)------------------------------
% 39.93/7.09 % (27334)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_27044 for (2945ds/1979Mi)
% 39.93/7.11 % (27331)Instruction limit reached!
% 39.93/7.11 % (27331)------------------------------
% 39.93/7.11 % (27331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.93/7.11 % (27331)Termination reason: Unknown
% 39.93/7.11 % (27331)Termination phase: Saturation
% 39.93/7.11
% 39.93/7.11 % (27331)Memory used [KB]: 3070
% 39.93/7.11 % (27331)Time elapsed: 0.351 s
% 39.93/7.11 % (27331)Instructions burned: 716 (million)
% 39.93/7.11 % (27331)------------------------------
% 39.93/7.11 % (27331)------------------------------
% 40.58/7.13 % (27335)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_27044 for (2945ds/481Mi)
% 41.43/7.31 % (27335)Instruction limit reached!
% 41.43/7.31 % (27335)------------------------------
% 41.43/7.31 % (27335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.43/7.31 % (27335)Termination reason: Unknown
% 41.43/7.31 % (27335)Termination phase: Saturation
% 41.43/7.31
% 41.43/7.31 % (27335)Memory used [KB]: 7291
% 41.43/7.31 % (27335)Time elapsed: 0.181 s
% 41.43/7.31 % (27335)Instructions burned: 484 (million)
% 41.43/7.31 % (27335)------------------------------
% 41.43/7.31 % (27335)------------------------------
% 41.43/7.33 % (27336)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_27044 for (2943ds/783Mi)
% 41.43/7.39 % (27332)Instruction limit reached!
% 41.43/7.39 % (27332)------------------------------
% 41.43/7.39 % (27332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.43/7.39 % (27332)Termination reason: Unknown
% 41.43/7.39 % (27332)Termination phase: Saturation
% 41.43/7.39
% 41.43/7.39 % (27332)Memory used [KB]: 7547
% 41.43/7.39 % (27332)Time elapsed: 0.474 s
% 41.43/7.39 % (27332)Instructions burned: 962 (million)
% 41.43/7.39 % (27332)------------------------------
% 41.43/7.39 % (27332)------------------------------
% 42.13/7.41 % (27337)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_27044 for (2942ds/432Mi)
% 42.13/7.42 % (27333)First to succeed.
% 42.13/7.42 % (27333)Refutation found. Thanks to Tanya!
% 42.13/7.42 % SZS status Theorem for DTF2THF_27044
% 42.13/7.42 % SZS output start Proof for DTF2THF_27044
% 42.13/7.42 thf(func_def_0, type, in: $i > $i > $o).
% 42.13/7.42 thf(func_def_1, type, exu: ($i > $o) > $o).
% 42.13/7.42 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 42.13/7.42 thf(func_def_8, type, powerset: $i > $i).
% 42.13/7.42 thf(func_def_10, type, setunion: $i > $i).
% 42.13/7.42 thf(func_def_19, type, descr: ($i > $o) > $i).
% 42.13/7.42 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_26, type, prop2set: $o > $i).
% 42.13/7.42 thf(func_def_36, type, nonempty: $i > $o).
% 42.13/7.42 thf(func_def_69, type, set2prop: $i > $o).
% 42.13/7.42 thf(func_def_88, type, subset: $i > $i > $o).
% 42.13/7.42 thf(func_def_89, type, disjoint: $i > $i > $o).
% 42.13/7.42 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 42.13/7.42 thf(func_def_115, type, sP0: $i > $i > $o).
% 42.13/7.42 thf(func_def_116, type, sP1: $i > $o).
% 42.13/7.42 thf(func_def_117, type, sP2: $i > $i > $o).
% 42.13/7.42 thf(func_def_118, type, sP3: $i > $i > $o).
% 42.13/7.42 thf(func_def_129, type, sK14: $i > $i > $i).
% 42.13/7.42 thf(func_def_135, type, sK20: $i > $o).
% 42.13/7.42 thf(func_def_140, type, sK25: $i > $o).
% 42.13/7.42 thf(func_def_145, type, sK30: $i > $o).
% 42.13/7.42 thf(func_def_149, type, sK34: $i > $o).
% 42.13/7.42 thf(func_def_153, type, sK38: $i > $i).
% 42.13/7.42 thf(func_def_164, type, sK49: $i > $i > $i).
% 42.13/7.42 thf(func_def_170, type, sK55: $i > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_171, type, sK56: $i > $o).
% 42.13/7.42 thf(func_def_173, type, sK58: $i > $i).
% 42.13/7.42 thf(func_def_175, type, sK60: $i > $i).
% 42.13/7.42 thf(func_def_179, type, sK64: $i > $i > $i).
% 42.13/7.42 thf(func_def_188, type, sK73: $i > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_189, type, sK74: $i > $o).
% 42.13/7.42 thf(func_def_196, type, sK81: $i > $o).
% 42.13/7.42 thf(func_def_199, type, sK84: $i > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_210, type, sK95: $i > $o).
% 42.13/7.42 thf(func_def_216, type, sK101: $o > $i > $i > $i).
% 42.13/7.42 thf(func_def_219, type, sK104: $i > $o).
% 42.13/7.42 thf(func_def_220, type, sK105: $i > $o).
% 42.13/7.42 thf(func_def_221, type, sK106: ($i > $o) > ($i > $o) > $i > $i > $i).
% 42.13/7.42 thf(func_def_222, type, sK107: ($i > $o) > ($i > $o) > $i > $i > $i).
% 42.13/7.42 thf(func_def_231, type, sK116: $i > $o).
% 42.13/7.42 thf(func_def_233, type, sK118: $i > $o).
% 42.13/7.42 thf(func_def_234, type, sK119: $i > $o).
% 42.13/7.42 thf(func_def_235, type, sK120: ($i > $o) > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_236, type, sK121: ($i > $o) > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_237, type, sK122: $i > $o).
% 42.13/7.42 thf(func_def_240, type, sK125: $i > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_241, type, sK126: ($i > $o) > $i).
% 42.13/7.42 thf(func_def_242, type, sK127: $i > $o).
% 42.13/7.42 thf(func_def_243, type, sK128: $i > $i).
% 42.13/7.42 thf(func_def_244, type, sK129: $i > $o).
% 42.13/7.42 thf(func_def_247, type, sK132: $i > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_248, type, sK133: $i > $o).
% 42.13/7.42 thf(func_def_253, type, sK138: $i > $o).
% 42.13/7.42 thf(func_def_256, type, sK141: $i > $i > $i).
% 42.13/7.42 thf(func_def_258, type, sK143: $i > $i > $i).
% 42.13/7.42 thf(func_def_262, type, sK147: $i > $i).
% 42.13/7.42 thf(func_def_264, type, sK149: $i > $o).
% 42.13/7.42 thf(func_def_266, type, sK151: $i > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_267, type, sK152: $i > $i > $i).
% 42.13/7.42 thf(func_def_268, type, sK153: $i > $i > $i).
% 42.13/7.42 thf(func_def_269, type, sK154: $i > $i > $i).
% 42.13/7.42 thf(func_def_270, type, sK155: $i > $i > $i).
% 42.13/7.42 thf(func_def_271, type, sK156: $i > $i > $i > $i).
% 42.13/7.42 thf(func_def_272, type, sK157: $i > $i).
% 42.13/7.42 thf(func_def_273, type, sK158: $i > $i).
% 42.13/7.42 thf(func_def_274, type, sK159: $i > $i).
% 42.13/7.42 thf(func_def_275, type, sK160: $i > $i).
% 42.13/7.42 thf(func_def_276, type, sK161: $i > $i > $i > $i).
% 42.13/7.42 thf(func_def_277, type, sK162: $i > $i > $i > $i).
% 42.13/7.42 thf(func_def_278, type, sK163: $i > $i > $i).
% 42.13/7.42 thf(func_def_279, type, sK164: $i > $i > $i).
% 42.13/7.42 thf(func_def_280, type, sK165: $i > $i > $i).
% 42.13/7.42 thf(func_def_281, type, sK166: $i > $i).
% 42.13/7.42 thf(func_def_282, type, sK167: $i > $i > $i).
% 42.13/7.42 thf(func_def_284, type, sK169: $i > $i).
% 42.13/7.42 thf(func_def_285, type, sK170: $i > $i).
% 42.13/7.42 thf(func_def_287, type, sK172: $i > $o).
% 42.13/7.42 thf(func_def_289, type, sK174: $i > $o).
% 42.13/7.42 thf(func_def_294, type, sK179: ($i > $o) > $i).
% 42.13/7.42 thf(func_def_295, type, sK180: $i > $o).
% 42.13/7.42 thf(func_def_310, type, sK195: $i > $o).
% 42.13/7.42 thf(func_def_311, type, sK196: $i > $i).
% 42.13/7.42 thf(func_def_312, type, sK197: ($i > $o) > $i).
% 42.13/7.42 thf(func_def_314, type, sK199: $i > $i).
% 42.13/7.42 thf(func_def_315, type, sK200: $i > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_316, type, sK201: $i > $o).
% 42.13/7.42 thf(func_def_323, type, sK208: $i > $i > $o).
% 42.13/7.42 thf(func_def_324, type, sK209: $i > $i).
% 42.13/7.42 thf(func_def_325, type, sK210: $i > $i).
% 42.13/7.42 thf(func_def_326, type, sK211: ($i > $i > $o) > $i > $i).
% 42.13/7.42 thf(func_def_327, type, sK212: $i > ($i > $i > $o) > $i > $i).
% 42.13/7.42 thf(func_def_328, type, sK213: ($i > $i > $o) > $i > $i).
% 42.13/7.42 thf(func_def_330, type, sK215: $i > $o).
% 42.13/7.42 thf(func_def_332, type, sK217: ($i > $o) > $i > $i).
% 42.13/7.42 thf(func_def_337, type, sK222: $i > $i > $i).
% 42.13/7.42 thf(func_def_340, type, sK225: $i > $i > $i).
% 42.13/7.42 thf(func_def_341, type, sK226: $i > $i > $i).
% 42.13/7.42 thf(func_def_342, type, sK227: ($i > $o) > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_343, type, sK228: ($i > $o) > ($i > $o) > $i).
% 42.13/7.42 thf(func_def_344, type, sK229: $i > $o).
% 42.13/7.42 thf(func_def_345, type, sK230: $i > $o).
% 42.13/7.42 thf(func_def_350, type, sK235: $i > $i).
% 42.13/7.42 thf(func_def_355, type, sK240: ($i > $o) > $i).
% 42.13/7.42 thf(func_def_356, type, sK241: ($i > $o) > $i).
% 42.13/7.42 thf(func_def_357, type, sK242: $i > $o).
% 42.13/7.42 thf(func_def_360, type, sK245: $i > $i).
% 42.13/7.42 thf(func_def_366, type, sF251: $i > $o).
% 42.13/7.42 thf(func_def_367, type, sF252: $i > $i).
% 42.13/7.42 thf(func_def_371, type, ph256: !>[X0: $tType]:(X0)).
% 42.13/7.42 thf(f5860,plain,(
% 42.13/7.42 $false),
% 42.13/7.42 inference(avatar_sat_refutation,[status(thm)],[f1434,f1686,f1954,f2135,f2486,f2522,f3009,f5859])).
% 42.13/7.42 thf(f5859,plain,(
% 42.13/7.42 ~spl255_6 | ~spl255_48 | ~spl255_64 | ~spl255_236),
% 42.13/7.42 inference(avatar_contradiction_clause,[status(thm)],[f5858])).
% 42.13/7.42 thf(f5858,plain,(
% 42.13/7.42 $false | (~spl255_6 | ~spl255_48 | ~spl255_64 | ~spl255_236)),
% 42.13/7.42 inference(trivial_inequality_removal,[status(thm)],[f5857])).
% 42.13/7.42 thf(f5857,plain,(
% 42.13/7.42 ($true = $false) | (~spl255_6 | ~spl255_48 | ~spl255_64 | ~spl255_236)),
% 42.13/7.42 inference(forward_demodulation,[status(thm)],[f5852,f1433])).
% 42.13/7.42 thf(f1433,plain,(
% 42.13/7.42 ((sF251 @ sF253) = $false) | ~spl255_6),
% 42.13/7.42 inference(avatar_component_clause,[status(thm)],[f1431])).
% 42.13/7.42 thf(f1431,definition,(
% 42.13/7.42 spl255_6 <=> ((sF251 @ sF253) = $false)),
% 42.13/7.42 introduced(definition,[new_symbols(naming,[spl255_6])],[avatar_definition])).
% 42.13/7.42 thf(f5852,plain,(
% 42.13/7.42 ($true = (sF251 @ sF253)) | (~spl255_48 | ~spl255_64 | ~spl255_236)),
% 42.13/7.42 inference(trivial_inequality_removal,[status(thm)],[f5851])).
% 42.13/7.42 thf(f5851,plain,(
% 42.13/7.42 ($true = (sF251 @ sF253)) | ($true = $false) | (~spl255_48 | ~spl255_64 | ~spl255_236)),
% 42.13/7.42 inference(superposition,[status(thm)],[f3075,f5848])).
% 42.13/7.42 thf(f5848,plain,(
% 42.13/7.42 ($true = (subset @ sK89 @ sF253)) | (~spl255_48 | ~spl255_64 | ~spl255_236)),
% 42.13/7.42 inference(trivial_inequality_removal,[status(thm)],[f5847])).
% 42.13/7.42 thf(f5847,plain,(
% 42.13/7.42 ($true = (subset @ sK89 @ sF253)) | ($true != $true) | (~spl255_48 | ~spl255_64 | ~spl255_236)),
% 42.13/7.42 inference(duplicate_literal_removal,[status(thm)],[f5843])).
% 42.13/7.42 thf(f5843,plain,(
% 42.13/7.42 ($true = (subset @ sK89 @ sF253)) | ($true != $true) | ($true = (subset @ sK89 @ sF253)) | (~spl255_48 | ~spl255_64 | ~spl255_236)),
% 42.13/7.42 inference(superposition,[status(thm)],[f5372,f1681])).
% 42.13/7.42 thf(f1681,plain,(
% 42.13/7.42 ( ! [X3 : $i,X4 : $i] : (($true = (in @ (sK64 @ X4 @ X3) @ X4)) | ((subset @ X4 @ X3) = $true)) ) | ~spl255_64),
% 42.13/7.42 inference(avatar_component_clause,[status(thm)],[f1680])).
% 42.13/7.42 thf(f1680,definition,(
% 42.13/7.42 spl255_64 <=> ! [X4 : $i,X3 : $i] : (($true = (in @ (sK64 @ X4 @ X3) @ X4)) | ((subset @ X4 @ X3) = $true))),
% 42.13/7.42 introduced(definition,[new_symbols(naming,[spl255_64])],[avatar_definition])).
% 42.13/7.42 thf(f5372,plain,(
% 42.13/7.42 ( ! [X0 : $i] : (($true != (in @ (sK64 @ X0 @ sF253) @ sK89)) | ($true = (subset @ X0 @ sF253))) ) | (~spl255_48 | ~spl255_236)),
% 42.13/7.42 inference(trivial_inequality_removal,[status(thm)],[f5369])).
% 42.13/7.42 thf(f5369,plain,(
% 42.13/7.42 ( ! [X0 : $i] : (($true != (in @ (sK64 @ X0 @ sF253) @ sK89)) | ($true != $true) | ($true = (subset @ X0 @ sF253))) ) | (~spl255_48 | ~spl255_236)),
% 42.13/7.42 inference(superposition,[status(thm)],[f2485,f5280])).
% 42.13/7.42 thf(f5280,plain,(
% 42.13/7.42 ( ! [X0 : $i] : (($true = (in @ X0 @ sF253)) | ($true != (in @ X0 @ sK89))) ) | ~spl255_48),
% 42.13/7.42 inference(superposition,[status(thm)],[f5262,f1311])).
% 42.13/7.42 thf(f1311,definition,(
% 42.13/7.42 ((sF252 @ sK89) = sF253)),
% 42.13/7.42 introduced(definition,[],[function_definition])).
% 42.13/7.42 thf(f5262,plain,(
% 42.13/7.42 ( ! [X0 : $i,X1 : $i] : (($true = (in @ X1 @ (sF252 @ X0))) | ($true != (in @ X1 @ X0))) ) | ~spl255_48),
% 42.13/7.42 inference(superposition,[status(thm)],[f1612,f3077])).
% 42.13/7.42 thf(f3077,plain,(
% 42.13/7.42 ( ! [X1 : $i] : (((sF252 @ X1) = (setadjoin @ sK90 @ X1))) )),
% 42.13/7.42 inference(argument_congruence,[status(thm)],[f1310])).
% 42.13/7.42 thf(f1310,definition,(
% 42.13/7.42 (sF252 = (setadjoin @ sK90))),
% 42.13/7.42 introduced(definition,[],[function_definition])).
% 42.13/7.42 thf(f1612,plain,(
% 42.13/7.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X2 @ (setadjoin @ X1 @ X0))) | ($true != (in @ X2 @ X0))) ) | ~spl255_48),
% 42.13/7.42 inference(avatar_component_clause,[status(thm)],[f1611])).
% 42.13/7.42 thf(f1611,definition,(
% 42.13/7.42 spl255_48 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X2 @ X0)) | ($true = (in @ X2 @ (setadjoin @ X1 @ X0))))),
% 42.13/7.42 introduced(definition,[new_symbols(naming,[spl255_48])],[avatar_definition])).
% 42.13/7.42 thf(f2485,plain,(
% 42.13/7.42 ( ! [X3 : $i,X4 : $i] : (($true != (in @ (sK64 @ X4 @ X3) @ X3)) | ((subset @ X4 @ X3) = $true)) ) | ~spl255_236),
% 42.13/7.42 inference(avatar_component_clause,[status(thm)],[f2484])).
% 42.13/7.42 thf(f2484,definition,(
% 42.13/7.42 spl255_236 <=> ! [X4 : $i,X3 : $i] : (((subset @ X4 @ X3) = $true) | ($true != (in @ (sK64 @ X4 @ X3) @ X3)))),
% 42.13/7.42 introduced(definition,[new_symbols(naming,[spl255_236])],[avatar_definition])).
% 42.13/7.42 thf(f3075,plain,(
% 42.13/7.42 ( ! [X1 : $i] : (((subset @ sK89 @ X1) = $false) | ($true = (sF251 @ X1))) )),
% 42.13/7.42 inference(binary_proxy_clausification,[status(thm)],[f3074])).
% 42.13/7.42 thf(f3074,plain,(
% 42.13/7.42 ( ! [X1 : $i] : (((sF251 @ X1) = (subset @ sK89 @ X1))) )),
% 42.13/7.42 inference(argument_congruence,[status(thm)],[f1309])).
% 42.13/7.42 thf(f1309,definition,(
% 42.13/7.42 (sF251 = (subset @ sK89))),
% 42.13/7.42 introduced(definition,[],[function_definition])).
% 42.13/7.42 thf(f3009,plain,(
% 42.13/7.42 spl255_21),
% 42.13/7.42 inference(avatar_split_clause,[status(thm)],[f963,f1495])).
% 42.13/7.42 thf(f1495,definition,(
% 42.13/7.42 spl255_21 <=> (setadjoinIR = $true)),
% 42.13/7.42 introduced(definition,[new_symbols(naming,[spl255_21])],[avatar_definition])).
% 42.13/7.42 thf(f963,plain,(
% 42.13/7.42 (setadjoinIR = $true)),
% 42.13/7.42 inference(cnf_transformation,[status(thm)],[f542])).
% 42.13/7.42 thf(f542,plain,(
% 42.13/7.42 (exu__Cong = $true) & (exuEu = $true) & (emptysetsubset = $true) & (setadjoinOr = $true) & (emptysetE = $true) & (setextAx = $true) & (exuI1 = $true) & (emptyinunitempty = $true) & (powersetAx = $true) & (exuE1 = $true) & (subsetI2 = $true) & (setadjoinE = $true) & (notsubsetI = $true) & (exuE3e = $true) & (setadjoinAx = $true) & (descr__Cong = $true) & (singletonsswitch = $true) & (setoftrueEq = $true) & (uniqinunit = $true) & (emptyI = $true) & (subsetE = $true) & (eqinunit = $true) & (prop2setI = $true) & (dsetconstrI = $true) & (emptyinPowerset = $true) & (omegaSAx = $true) & (descrp = $true) & (dsetconstr__Cong = $true) & (eqimpsubset1 = $true) & (upairsetIL = $true) & (subPowSU = $true) & (eqimpsubset2 = $true) & (vacuousDall = $true) & (quantDeMorgan2 = $true) & (replAx = $true) & (emptyE1 = $true) & (notinsingleton = $true) & (nonemptyImpWitness = $true) & (exuE3u = $true) & (emptyset__Cong = $true) & (exuI2 = $true) & (notequalI1 = $true) & (exuE2 = $true) & (quantDeMorgan3 = $true) & (setbeta = $true) & (subsetE2 = $true) & (quantDeMorgan4 = $true) & (nonemptyI = $true) & (noeltsimpempty = $true) & (setadjoin__Cong = $true) & (nonemptyI1 = $true) & (inCongP = $true) & (powersetE = $true) & (setunionAx = $true) & (powersetI = $true) & (emptysetimpfalse = $true) & (omegaIndAx = $true) & (prop2set2propI = $true) & (notequalI2 = $true) & (exuI3 = $true) & (subsetRefl = $true) & (notdallE = $true) & (setunionI = $true) & (setunion__Cong = $true) & (notdexE = $true) & (emptyInPowerset = $true) & (setext = $true) & (prop2setE = $true) & (upairsetE = $true) & (setadjoinIR = $true) & (subsetTrans = $true) & (setunionE = $true) & (quantDeMorgan1 = $true) & (notinemptyset = $true) & (in__Cong = $true) & (subsetI1 = $true) & (powerset__Cong = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (dsetconstrEL = $true) & (emptysetAx = $true) & ($true != (subset @ sK89 @ (setadjoin @ sK90 @ sK89))) & (wellorderingAx = $true) & (omega__Cong = $true) & (nonemptyE1 = $true) & (dsetconstrER = $true) & (upairsetIR = $true) & (omega0Ax = $true)),
% 42.13/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK89,sK90])],[f296,f541])).
% 42.13/7.42 thf(f541,plain,(
% 42.13/7.42 ? [X0 : $i,X1 : $i] : ($true != (subset @ X0 @ (setadjoin @ X1 @ X0))) => ($true != (subset @ sK89 @ (setadjoin @ sK90 @ sK89)))),
% 42.13/7.42 introduced(definition,[],[choice_axiom])).
% 42.13/7.42 thf(f296,plain,(
% 42.13/7.42 (exu__Cong = $true) & (exuEu = $true) & (emptysetsubset = $true) & (setadjoinOr = $true) & (emptysetE = $true) & (setextAx = $true) & (exuI1 = $true) & (emptyinunitempty = $true) & (powersetAx = $true) & (exuE1 = $true) & (subsetI2 = $true) & (setadjoinE = $true) & (notsubsetI = $true) & (exuE3e = $true) & (setadjoinAx = $true) & (descr__Cong = $true) & (singletonsswitch = $true) & (setoftrueEq = $true) & (uniqinunit = $true) & (emptyI = $true) & (subsetE = $true) & (eqinunit = $true) & (prop2setI = $true) & (dsetconstrI = $true) & (emptyinPowerset = $true) & (omegaSAx = $true) & (descrp = $true) & (dsetconstr__Cong = $true) & (eqimpsubset1 = $true) & (upairsetIL = $true) & (subPowSU = $true) & (eqimpsubset2 = $true) & (vacuousDall = $true) & (quantDeMorgan2 = $true) & (replAx = $true) & (emptyE1 = $true) & (notinsingleton = $true) & (nonemptyImpWitness = $true) & (exuE3u = $true) & (emptyset__Cong = $true) & (exuI2 = $true) & (notequalI1 = $true) & (exuE2 = $true) & (quantDeMorgan3 = $true) & (setbeta = $true) & (subsetE2 = $true) & (quantDeMorgan4 = $true) & (nonemptyI = $true) & (noeltsimpempty = $true) & (setadjoin__Cong = $true) & (nonemptyI1 = $true) & (inCongP = $true) & (powersetE = $true) & (setunionAx = $true) & (powersetI = $true) & (emptysetimpfalse = $true) & (omegaIndAx = $true) & (prop2set2propI = $true) & (notequalI2 = $true) & (exuI3 = $true) & (subsetRefl = $true) & (notdallE = $true) & (setunionI = $true) & (setunion__Cong = $true) & (notdexE = $true) & (emptyInPowerset = $true) & (setext = $true) & (prop2setE = $true) & (upairsetE = $true) & (setadjoinIR = $true) & (subsetTrans = $true) & (setunionE = $true) & (quantDeMorgan1 = $true) & (notinemptyset = $true) & (in__Cong = $true) & (subsetI1 = $true) & (powerset__Cong = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (dsetconstrEL = $true) & (emptysetAx = $true) & ? [X0 : $i,X1 : $i] : ($true != (subset @ X0 @ (setadjoin @ X1 @ X0))) & (wellorderingAx = $true) & (omega__Cong = $true) & (nonemptyE1 = $true) & (dsetconstrER = $true) & (upairsetIR = $true) & (omega0Ax = $true)),
% 42.13/7.42 inference(flattening,[status(thm)],[f295])).
% 42.13/7.42 thf(f295,plain,(
% 42.13/7.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : ($true != (subset @ X0 @ (setadjoin @ X1 @ X0))) & (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)),
% 42.13/7.42 inference(ennf_transformation,[status(thm)],[f215])).
% 42.13/7.42 thf(f215,plain,(
% 42.13/7.42 ~((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) => ! [X0 : $i,X1 : $i] : ($true = (subset @ X0 @ (setadjoin @ X1 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 42.13/7.42 inference(fool_elimination,[status(thm)],[f214])).
% 42.13/7.42 thf(f214,plain,(
% 42.13/7.42 ~(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 => ! [X0 : $i,X1 : $i] : (subset @ X0 @ (setadjoin @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 42.13/7.42 inference(rectify,[status(thm)],[f91])).
% 42.13/7.42 thf(f91,negated_conjecture,(
% 42.13/7.42 ~(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 => ! [X3 : $i,X1 : $i] : (subset @ X3 @ (setadjoin @ X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 42.13/7.42 inference(negated_conjecture,[status(cth)],[f90])).
% 42.13/7.42 thf(f90,conjecture,(
% 42.13/7.42 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 => ! [X3 : $i,X1 : $i] : (subset @ X3 @ (setadjoin @ X1 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 42.13/7.42 file('/export/starexec/sandbox/tmp/tmp.gBFmTjZvT7/DTF2THF_27044.p',setadjoinSub)).
% 42.13/7.42 thf(f2522,plain,(
% 42.13/7.42 spl255_65),
% 42.13/7.42 inference(avatar_split_clause,[status(thm)],[f1022,f1683])).
% 42.13/7.42 thf(f1683,definition,(
% 42.13/7.42 spl255_65 <=> (subsetI2 = $true)),
% 42.13/7.42 introduced(definition,[new_symbols(naming,[spl255_65])],[avatar_definition])).
% 42.13/7.42 thf(f1022,plain,(
% 42.13/7.42 (subsetI2 = $true)),
% 42.13/7.42 inference(cnf_transformation,[status(thm)],[f542])).
% 42.13/7.42 thf(f2486,plain,(
% 42.13/7.42 ~spl255_65 | spl255_236),
% 42.13/7.42 inference(avatar_split_clause,[status(thm)],[f906,f2484,f1683])).
% 42.13/7.42 thf(f906,plain,(
% 42.13/7.42 ( ! [X3 : $i,X4 : $i] : ((subsetI2 != $true) | ((subset @ X4 @ X3) = $true) | ($true != (in @ (sK64 @ X4 @ X3) @ X3))) )),
% 42.13/7.42 inference(cnf_transformation,[status(thm)],[f502])).
% 42.13/7.42 thf(f502,plain,(
% 42.13/7.42 ((subsetI2 = $true) | (! [X2 : $i] : (($true != (in @ X2 @ sK63)) | ($true = (in @ X2 @ sK62))) & ($true != (subset @ sK63 @ sK62)))) & (! [X3 : $i,X4 : $i] : ((($true = (in @ (sK64 @ X4 @ X3) @ X4)) & ($true != (in @ (sK64 @ X4 @ X3) @ X3))) | ((subset @ X4 @ X3) = $true)) | (subsetI2 != $true))),
% 42.13/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK62,sK63,sK64])],[f499,f501,f500])).
% 42.13/7.42 thf(f500,plain,(
% 42.13/7.42 ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true != (in @ X2 @ X1)) | ($true = (in @ X2 @ X0))) & ($true != (subset @ X1 @ X0))) => (! [X2 : $i] : (($true != (in @ X2 @ sK63)) | ($true = (in @ X2 @ sK62))) & ($true != (subset @ sK63 @ sK62)))),
% 42.13/7.42 introduced(definition,[],[choice_axiom])).
% 42.13/7.42 thf(f501,plain,(
% 42.13/7.42 ! [X3 : $i,X4 : $i] : (? [X5 : $i] : (((in @ X5 @ X4) = $true) & ($true != (in @ X5 @ X3))) => (($true = (in @ (sK64 @ X4 @ X3) @ X4)) & ($true != (in @ (sK64 @ X4 @ X3) @ X3))))),
% 42.13/7.42 introduced(definition,[],[choice_axiom])).
% 42.13/7.42 thf(f499,plain,(
% 42.13/7.42 ((subsetI2 = $true) | ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true != (in @ X2 @ X1)) | ($true = (in @ X2 @ X0))) & ($true != (subset @ X1 @ X0)))) & (! [X3 : $i,X4 : $i] : (? [X5 : $i] : (((in @ X5 @ X4) = $true) & ($true != (in @ X5 @ X3))) | ((subset @ X4 @ X3) = $true)) | (subsetI2 != $true))),
% 42.13/7.42 inference(rectify,[status(thm)],[f498])).
% 42.13/7.42 thf(f498,plain,(
% 42.13/7.42 ((subsetI2 = $true) | ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true != (in @ X2 @ X1)) | ($true = (in @ X2 @ X0))) & ($true != (subset @ X1 @ X0)))) & (! [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true = (in @ X2 @ X1)) & ($true != (in @ X2 @ X0))) | ($true = (subset @ X1 @ X0))) | (subsetI2 != $true))),
% 42.13/7.42 inference(nnf_transformation,[status(thm)],[f333])).
% 42.13/7.42 thf(f333,plain,(
% 42.13/7.42 (subsetI2 = $true) <=> ! [X0 : $i,X1 : $i] : (? [X2 : $i] : (($true = (in @ X2 @ X1)) & ($true != (in @ X2 @ X0))) | ($true = (subset @ X1 @ X0)))),
% 42.13/7.42 inference(ennf_transformation,[status(thm)],[f226])).
% 42.13/7.42 thf(f226,plain,(
% 42.13/7.42 ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (($true = (in @ X2 @ X1)) => ($true = (in @ X2 @ X0))) => ($true = (subset @ X1 @ X0))) <=> (subsetI2 = $true)),
% 42.13/7.42 inference(fool_elimination,[status(thm)],[f225])).
% 42.13/7.42 thf(f225,plain,(
% 42.13/7.42 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (subset @ X1 @ X0)) = subsetI2)),
% 42.13/7.42 inference(rectify,[status(thm)],[f81])).
% 42.13/7.42 thf(f81,axiom,(
% 42.13/7.42 (! [X4 : $i,X3 : $i] : (! [X1 : $i] : ((in @ X1 @ X3) => (in @ X1 @ X4)) => (subset @ X3 @ X4)) = subsetI2)),
% 42.13/7.42 file('/export/starexec/sandbox/tmp/tmp.gBFmTjZvT7/DTF2THF_27044.p',subsetI2)).
% 42.13/7.42 thf(f2135,plain,(
% 42.13/7.42 ~spl255_21 | spl255_48),
% 42.13/7.42 inference(avatar_split_clause,[status(thm)],[f1251,f1611,f1495])).
% 42.13/7.42 thf(f1251,plain,(
% 42.13/7.42 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X3 @ (setadjoin @ X5 @ X4))) | (setadjoinIR != $true) | ($true != (in @ X3 @ X4))) )),
% 42.13/7.42 inference(cnf_transformation,[status(thm)],[f785])).
% 42.13/7.42 thf(f785,plain,(
% 42.13/7.42 ((setadjoinIR = $true) | (($true != (in @ sK231 @ (setadjoin @ sK233 @ sK232))) & ($true = (in @ sK231 @ sK232)))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X3 @ (setadjoin @ X5 @ X4))) | ($true != (in @ X3 @ X4))) | (setadjoinIR != $true))),
% 42.13/7.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK231,sK232,sK233])],[f783,f784])).
% 42.13/7.42 thf(f784,plain,(
% 42.13/7.42 ? [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X0 @ (setadjoin @ X2 @ X1))) & ($true = (in @ X0 @ X1))) => (($true != (in @ sK231 @ (setadjoin @ sK233 @ sK232))) & ($true = (in @ sK231 @ sK232)))),
% 42.13/7.42 introduced(definition,[],[choice_axiom])).
% 42.13/7.42 thf(f783,plain,(
% 42.13/7.42 ((setadjoinIR = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X0 @ (setadjoin @ X2 @ X1))) & ($true = (in @ X0 @ X1)))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X3 @ (setadjoin @ X5 @ X4))) | ($true != (in @ X3 @ X4))) | (setadjoinIR != $true))),
% 42.13/7.42 inference(rectify,[status(thm)],[f782])).
% 42.13/7.42 thf(f782,plain,(
% 42.13/7.42 ((setadjoinIR = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (($true != (in @ X0 @ (setadjoin @ X2 @ X1))) & ($true = (in @ X0 @ X1)))) & (! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X0 @ (setadjoin @ X2 @ X1))) | ($true != (in @ X0 @ X1))) | (setadjoinIR != $true))),
% 42.13/7.42 inference(nnf_transformation,[status(thm)],[f347])).
% 42.13/7.42 thf(f347,plain,(
% 42.13/7.42 (setadjoinIR = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X0 @ (setadjoin @ X2 @ X1))) | ($true != (in @ X0 @ X1)))),
% 42.13/7.42 inference(ennf_transformation,[status(thm)],[f169])).
% 42.13/7.42 thf(f169,plain,(
% 42.13/7.42 ! [X0 : $i,X1 : $i,X2 : $i] : (($true = (in @ X0 @ X1)) => ($true = (in @ X0 @ (setadjoin @ X2 @ X1)))) <=> (setadjoinIR = $true)),
% 42.13/7.42 inference(fool_elimination,[status(thm)],[f168])).
% 42.13/7.42 thf(f168,plain,(
% 42.13/7.42 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ X1) => (in @ X0 @ (setadjoin @ X2 @ X1))) = setadjoinIR)),
% 42.13/7.42 inference(rectify,[status(thm)],[f33])).
% 42.13/7.42 thf(f33,axiom,(
% 42.13/7.42 (! [X2 : $i,X3 : $i,X1 : $i] : ((in @ X2 @ X3) => (in @ X2 @ (setadjoin @ X1 @ X3))) = setadjoinIR)),
% 42.13/7.42 file('/export/starexec/sandbox/tmp/tmp.gBFmTjZvT7/DTF2THF_27044.p',setadjoinIR)).
% 42.13/7.42 thf(f1954,plain,(
% 42.13/7.42 ~spl255_5),
% 42.13/7.42 inference(avatar_split_clause,[status(thm)],[f1313,f1427])).
% 42.13/7.42 thf(f1427,definition,(
% 42.13/7.42 spl255_5 <=> ($true = sF254)),
% 42.13/7.42 introduced(definition,[new_symbols(naming,[spl255_5])],[avatar_definition])).
% 42.13/7.42 thf(f1313,plain,(
% 42.13/7.42 ($true != sF254)),
% 42.13/7.42 inference(definition_folding,[status(thm)],[f951,f1312,f1311,f1310,f1309])).
% 42.13/7.42 thf(f1312,definition,(
% 42.13/7.42 (sF254 = (sF251 @ sF253))),
% 42.13/7.42 introduced(definition,[],[function_definition])).
% 42.13/7.42 thf(f951,plain,(
% 42.13/7.42 ($true != (subset @ sK89 @ (setadjoin @ sK90 @ sK89)))),
% 42.13/7.42 inference(cnf_transformation,[status(thm)],[f542])).
% 42.13/7.42 thf(f1686,plain,(
% 42.13/7.42 spl255_64 | ~spl255_65),
% 42.13/7.42 inference(avatar_split_clause,[status(thm)],[f907,f1683,f1680])).
% 42.13/7.42 thf(f907,plain,(
% 42.13/7.42 ( ! [X3 : $i,X4 : $i] : (($true = (in @ (sK64 @ X4 @ X3) @ X4)) | ((subset @ X4 @ X3) = $true) | (subsetI2 != $true)) )),
% 42.13/7.42 inference(cnf_transformation,[status(thm)],[f502])).
% 42.13/7.42 thf(f1434,plain,(
% 42.13/7.42 spl255_5 | spl255_6),
% 42.13/7.42 inference(avatar_split_clause,[status(thm)],[f1408,f1431,f1427])).
% 42.13/7.42 thf(f1408,plain,(
% 42.13/7.42 ($true = sF254) | ((sF251 @ sF253) = $false)),
% 42.13/7.42 inference(binary_proxy_clausification,[status(thm)],[f1312])).
% 42.13/7.42 % SZS output end Proof for DTF2THF_27044
% 42.13/7.42 % (27333)------------------------------
% 42.13/7.42 % (27333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.13/7.42 % (27333)Termination reason: Refutation
% 42.13/7.42
% 42.13/7.42 % (27333)Memory used [KB]: 10106
% 42.13/7.42 % (27333)Time elapsed: 0.495 s
% 42.13/7.42 % (27333)Instructions burned: 987 (million)
% 42.13/7.42 % (27333)------------------------------
% 42.13/7.42 % (27333)------------------------------
% 42.13/7.42 % (27176)Success in time 5.789 s
%------------------------------------------------------------------------------