%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU517^1 : 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 : n021.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 09:35:02 AM UTC 2026
% Result : Theorem 56.26s 9.48s
% Output : Refutation 56.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 17 unt; 0 typ; 1 def)
% Number of atoms : 1025 ( 287 equ; 0 cnn)
% Maximal formula atoms : 34 ( 15 avg)
% Number of connectives : 873 ( 76 ~; 58 |; 123 &; 459 @)
% ( 11 <=>; 146 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 102 ( 99 usr; 43 con; 0-3 aty)
% Number of variables : 197 ( 60 ^; 106 !; 31 ?; 197 :)
% 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_57,type,
sP0: $i > $i > $o ).
thf(func_def_58,type,
sP1: $i > $o ).
thf(func_def_59,type,
sP2: $i > $i > $o ).
thf(func_def_60,type,
sP3: $i > $i > $o ).
thf(func_def_64,type,
sK7: $i > $o ).
thf(func_def_68,type,
sK11: $i > $i ).
thf(func_def_71,type,
sK14: $i > $i > $i ).
thf(func_def_77,type,
sK20: $i > $i ).
thf(func_def_80,type,
sK23: $i > $i ).
thf(func_def_83,type,
sK26: $i > $i ).
thf(func_def_84,type,
sK27: ( $i > $o ) > $i ).
thf(func_def_85,type,
sK28: $i > $o ).
thf(func_def_86,type,
sK29: $i > $i ).
thf(func_def_87,type,
sK30: $i > $o ).
thf(func_def_91,type,
sK34: $i > $i ).
thf(func_def_105,type,
sK48: $i > $i > $i ).
thf(func_def_106,type,
sK49: ( $i > $o ) > $i ).
thf(func_def_107,type,
sK50: $i > $o ).
thf(func_def_109,type,
sK52: $i > $i > $i ).
thf(func_def_110,type,
sK53: $i > $i > $i ).
thf(func_def_113,type,
sK56: $i > $o ).
thf(func_def_117,type,
sK60: $i > $i > $i ).
thf(func_def_118,type,
sK61: $i > $i > $i ).
thf(func_def_119,type,
sK62: $i > $i > $i ).
thf(func_def_120,type,
sK63: $i > $i > $i ).
thf(func_def_121,type,
sK64: $i > $i > $i ).
thf(func_def_122,type,
sK65: $i > $i > $i > $i ).
thf(func_def_123,type,
sK66: $i > $i ).
thf(func_def_124,type,
sK67: $i > $i ).
thf(func_def_125,type,
sK68: $i > $i ).
thf(func_def_126,type,
sK69: $i > $i ).
thf(func_def_127,type,
sK70: $i > $i > $i > $i ).
thf(func_def_128,type,
sK71: $i > $i > $i > $i ).
thf(func_def_129,type,
sK72: $i > $i > $i ).
thf(func_def_130,type,
sK73: $i > $i > $i ).
thf(func_def_131,type,
sK74: $i > $i > $i ).
thf(func_def_132,type,
sK75: $i > $i ).
thf(func_def_134,type,
sK77: $i > $i ).
thf(func_def_135,type,
sK78: $i > $i ).
thf(func_def_139,type,
sK82: $i > $i > $o ).
thf(func_def_141,type,
sK84: $i > $i ).
thf(func_def_142,type,
sK85: $i > $i ).
thf(func_def_143,type,
sK86: $i > ( $i > $i > $o ) > $i ).
thf(func_def_144,type,
sK87: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_145,type,
sK88: $i > ( $i > $i > $o ) > $i ).
thf(func_def_147,type,
sK90: $i > $o ).
thf(func_def_153,type,
sK96: $i > $i ).
thf(func_def_157,type,
sK100: $i > $o ).
thf(func_def_159,type,
ph102:
!>[X0: $tType] : X0 ).
thf(f2009,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f1715,f2008]) ).
thf(f2008,plain,
spl101_15,
inference(avatar_contradiction_clause,[status(thm)],[f2007]) ).
thf(f2007,plain,
( $false
| spl101_15 ),
inference(subsumption_resolution,[status(thm)],[f2004,f1710]) ).
thf(f1710,plain,
( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
!= $false ),
inference(backward_demodulation,[status(thm)],[f1660,f1709]) ).
thf(f1709,plain,
( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
= $false ),
inference(subsumption_resolution,[status(thm)],[f1693,f1326]) ).
thf(f1326,plain,
! [X3: $i,X4: $i,X5: $i > $o] :
( ( ( in @ X3 @ ( dsetconstr @ X4 @ X5 ) )
= $false )
| ( $true
= ( in @ X3 @ X4 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1314]) ).
thf(f1314,plain,
! [X3: $i,X4: $i,X5: $i > $o] :
( ( $true
= ( in @ X3 @ X4 ) )
| ( $true != $true )
| ( ( in @ X3 @ ( dsetconstr @ X4 @ X5 ) )
= $false ) ),
inference(fool_paramodulation,[status(thm)],[f677]) ).
thf(f677,plain,
! [X3: $i,X4: $i,X5: $i > $o] :
( ( ( in @ X3 @ ( dsetconstr @ X4 @ X5 ) )
!= $true )
| ( $true
= ( in @ X3 @ X4 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f676]) ).
thf(f676,plain,
! [X3: $i,X4: $i,X5: $i > $o] :
( ( $true
!= ( in @ X3
@ ( dsetconstr @ X4
@ ^ [Y0: $i] : ( X5 @ Y0 ) ) ) )
| ( $true
= ( in @ X3 @ X4 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f526]) ).
thf(f526,plain,
! [X3: $i,X4: $i,X5: $i > $o] :
( ( $true != $true )
| ( $true
= ( in @ X3 @ X4 ) )
| ( $true
!= ( in @ X3
@ ( dsetconstr @ X4
@ ^ [Y0: $i] : ( X5 @ Y0 ) ) ) ) ),
inference(definition_unfolding,[status(thm)],[f333,f445]) ).
thf(f445,plain,
dsetconstrEL = $true,
inference(cnf_transformation,[status(thm)],[f265]) ).
thf(f265,plain,
( ( exuE3e = $true )
& ( notinemptyset = $true )
& ( wellorderingAx = $true )
& ( descrp = $true )
& ( dsetconstrER = $true )
& ( emptyinunitempty = $true )
& ( dsetconstrEL = $true )
& ( emptysetAx = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( emptysetE = $true )
& ( setext = $true )
& ( powersetAx = $true )
& ( emptyI = $true )
& ( setadjoinIR = $true )
& ( nonemptyE1 = $true )
& ( omegaSAx = $true )
& ( setadjoinE = $true )
& ( foundationAx = $true )
& ( exuE1 = $true )
& ( setadjoinAx = $true )
& ( omega0Ax = $true )
& ( emptysetimpfalse = $true )
& ( setadjoinOr = $true )
& ( setextAx = $true )
& ( nonemptyI = $true )
& ( omegaIndAx = $true )
& ( setbeta = $true )
& ( setunionAx = $true )
& ( dsetconstrI = $true )
& ( prop2setE = $true )
& ( replAx = $true )
& ( noeltsimpempty = $true )
& ( sK59
!= ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f151,f264]) ).
thf(f264,plain,
( ? [X0: $i] :
( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
!= X0 )
=> ( sK59
!= ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f151,plain,
( ( exuE3e = $true )
& ( notinemptyset = $true )
& ( wellorderingAx = $true )
& ( descrp = $true )
& ( dsetconstrER = $true )
& ( emptyinunitempty = $true )
& ( dsetconstrEL = $true )
& ( emptysetAx = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( emptysetE = $true )
& ( setext = $true )
& ( powersetAx = $true )
& ( emptyI = $true )
& ( setadjoinIR = $true )
& ( nonemptyE1 = $true )
& ( omegaSAx = $true )
& ( setadjoinE = $true )
& ( foundationAx = $true )
& ( exuE1 = $true )
& ( setadjoinAx = $true )
& ( omega0Ax = $true )
& ( emptysetimpfalse = $true )
& ( setadjoinOr = $true )
& ( setextAx = $true )
& ( nonemptyI = $true )
& ( omegaIndAx = $true )
& ( setbeta = $true )
& ( setunionAx = $true )
& ( dsetconstrI = $true )
& ( prop2setE = $true )
& ( replAx = $true )
& ( noeltsimpempty = $true )
& ? [X0: $i] :
( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
!= X0 ) ),
inference(flattening,[status(thm)],[f150]) ).
thf(f150,plain,
( ? [X0: $i] :
( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
!= X0 )
& ( 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)],[f105]) ).
thf(f105,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 )
=> ! [X0: $i] :
( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f104]) ).
thf(f104,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
=> ! [X0: $i] :
( ( dsetconstr @ X0
@ ^ [X1: $i] : $true )
= X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f38]) ).
thf(f38,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
=> ! [X3: $i] :
( ( dsetconstr @ X3
@ ^ [X1: $i] : $true )
= X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
thf(f37,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
=> ! [X3: $i] :
( ( dsetconstr @ X3
@ ^ [X1: $i] : $true )
= X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rQOsFAri2i/DTF2THF_7478.p',setoftrueEq) ).
thf(f333,plain,
! [X3: $i,X4: $i,X5: $i > $o] :
( ( $true
!= ( in @ X3
@ ( dsetconstr @ X4
@ ^ [Y0: $i] : ( X5 @ Y0 ) ) ) )
| ( $true
= ( in @ X3 @ X4 ) )
| ( dsetconstrEL != $true ) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
thf(f163,plain,
( ( ( dsetconstrEL = $true )
| ( ( $true
= ( in @ sK5
@ ( dsetconstr @ sK6
@ ^ [Y0: $i] : ( sK7 @ Y0 ) ) ) )
& ( ( in @ sK5 @ sK6 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i > $o] :
( ( $true
!= ( in @ X3
@ ( dsetconstr @ X4
@ ^ [Y0: $i] : ( X5 @ Y0 ) ) ) )
| ( $true
= ( in @ X3 @ X4 ) ) )
| ( dsetconstrEL != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f161,f162]) ).
thf(f162,plain,
( ? [X0: $i,X1: $i,X2: $i > $o] :
( ( ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
= $true )
& ( ( in @ X0 @ X1 )
!= $true ) )
=> ( ( $true
= ( in @ sK5
@ ( dsetconstr @ sK6
@ ^ [Y0: $i] : ( sK7 @ Y0 ) ) ) )
& ( ( in @ sK5 @ sK6 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f161,plain,
( ( ( dsetconstrEL = $true )
| ? [X0: $i,X1: $i,X2: $i > $o] :
( ( ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
= $true )
& ( ( in @ X0 @ X1 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i > $o] :
( ( $true
!= ( in @ X3
@ ( dsetconstr @ X4
@ ^ [Y0: $i] : ( X5 @ Y0 ) ) ) )
| ( $true
= ( in @ X3 @ X4 ) ) )
| ( dsetconstrEL != $true ) ) ),
inference(rectify,[status(thm)],[f160]) ).
thf(f160,plain,
( ( ( dsetconstrEL = $true )
| ? [X0: $i,X1: $i,X2: $i > $o] :
( ( ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
= $true )
& ( ( in @ X0 @ X1 )
!= $true ) ) )
& ( ! [X0: $i,X1: $i,X2: $i > $o] :
( ( ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
!= $true )
| ( ( in @ X0 @ X1 )
= $true ) )
| ( dsetconstrEL != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f132]) ).
thf(f132,plain,
( ( dsetconstrEL = $true )
<=> ! [X0: $i,X1: $i,X2: $i > $o] :
( ( ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
!= $true )
| ( ( in @ X0 @ X1 )
= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f67]) ).
thf(f67,plain,
( ! [X0: $i,X1: $i,X2: $i > $o] :
( ( ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) )
= $true )
=> ( ( in @ X0 @ X1 )
= $true ) )
<=> ( dsetconstrEL = $true ) ),
inference(fool_elimination,[status(thm)],[f66]) ).
thf(f66,plain,
( dsetconstrEL
= ( ! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0
@ ( dsetconstr @ X1
@ ^ [X3: $i] : ( X2 @ X3 ) ) )
=> ( in @ X0 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f15]) ).
thf(f15,axiom,
( dsetconstrEL
= ( ! [X1: $i,X3: $i,X0: $i > $o] :
( ( in @ X1
@ ( dsetconstr @ X3
@ ^ [X2: $i] : ( X0 @ X2 ) ) )
=> ( in @ X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rQOsFAri2i/DTF2THF_7478.p',dsetconstrEL) ).
thf(f1693,plain,
( ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
= $false )
| ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
!= $true ) ),
inference(fool_paramodulation,[status(thm)],[f1660]) ).
thf(f1660,plain,
( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
!= ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 ) ),
inference(extensionality_resolution,[status(thm)],[f662,f418]) ).
thf(f418,plain,
( sK59
!= ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
thf(f662,plain,
! [X0: $i,X1: $i] :
( ( ( in @ ( sK14 @ X1 @ X0 ) @ X0 )
!= ( in @ ( sK14 @ X1 @ X0 ) @ X1 ) )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[status(thm)],[f540]) ).
thf(f540,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( ( in @ ( sK14 @ X1 @ X0 ) @ X0 )
!= ( in @ ( sK14 @ X1 @ X0 ) @ X1 ) ) ),
inference(definition_unfolding,[status(thm)],[f351,f427]) ).
thf(f427,plain,
setextAx = $true,
inference(cnf_transformation,[status(thm)],[f265]) ).
thf(f351,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( in @ ( sK14 @ X1 @ X0 ) @ X0 )
!= ( in @ ( sK14 @ X1 @ X0 ) @ X1 ) )
| ( setextAx != $true ) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
thf(f179,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( in @ ( sK14 @ X1 @ X0 ) @ X0 )
!= ( in @ ( sK14 @ X1 @ X0 ) @ X1 ) ) )
| ( setextAx != $true ) )
& ( ( setextAx = $true )
| ( ( sK16 != sK15 )
& ! [X5: $i] :
( ( in @ X5 @ sK15 )
= ( in @ X5 @ sK16 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f176,f178,f177]) ).
thf(f177,plain,
! [X0: $i,X1: $i] :
( ? [X2: $i] :
( ( in @ X2 @ X1 )
!= ( in @ X2 @ X0 ) )
=> ( ( in @ ( sK14 @ X1 @ X0 ) @ X0 )
!= ( in @ ( sK14 @ X1 @ X0 ) @ X1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f178,plain,
( ? [X3: $i,X4: $i] :
( ( X3 != X4 )
& ! [X5: $i] :
( ( in @ X5 @ X4 )
= ( in @ X5 @ X3 ) ) )
=> ( ( sK16 != sK15 )
& ! [X5: $i] :
( ( in @ X5 @ sK15 )
= ( in @ X5 @ sK16 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f176,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ? [X2: $i] :
( ( in @ X2 @ X1 )
!= ( in @ X2 @ X0 ) ) )
| ( setextAx != $true ) )
& ( ( setextAx = $true )
| ? [X3: $i,X4: $i] :
( ( X3 != X4 )
& ! [X5: $i] :
( ( in @ X5 @ X4 )
= ( in @ X5 @ X3 ) ) ) ) ),
inference(rectify,[status(thm)],[f175]) ).
thf(f175,plain,
( ( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ? [X2: $i] :
( ( in @ X2 @ X1 )
!= ( in @ X2 @ X0 ) ) )
| ( setextAx != $true ) )
& ( ( setextAx = $true )
| ? [X0: $i,X1: $i] :
( ( X0 != X1 )
& ! [X2: $i] :
( ( in @ X2 @ X1 )
= ( in @ X2 @ X0 ) ) ) ) ),
inference(nnf_transformation,[status(thm)],[f144]) ).
thf(f144,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ? [X2: $i] :
( ( in @ X2 @ X1 )
!= ( in @ X2 @ X0 ) ) )
<=> ( setextAx = $true ) ),
inference(ennf_transformation,[status(thm)],[f61]) ).
thf(f61,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X1 )
= ( in @ X2 @ X0 ) )
=> ( X0 = X1 ) )
<=> ( setextAx = $true ) ),
inference(fool_elimination,[status(thm)],[f60]) ).
thf(f60,plain,
! [X0: $i,X1: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X0 )
<=> ( in @ X2 @ X1 ) )
=> ( X0 = X1 ) )
= setextAx ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X4: $i,X3: $i] :
( ( ! [X1: $i] :
( ( in @ X1 @ X4 )
<=> ( in @ X1 @ X3 ) )
=> ( X3 = X4 ) )
= setextAx ),
file('/export/starexec/sandbox/tmp/tmp.rQOsFAri2i/DTF2THF_7478.p',setextAx) ).
thf(f2004,plain,
( ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
= $false )
| spl101_15 ),
inference(trivial_inequality_removal,[status(thm)],[f1999]) ).
thf(f1999,plain,
( ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
= $false )
| ( $true != $true )
| spl101_15 ),
inference(fool_paramodulation,[status(thm)],[f1704]) ).
thf(f1704,plain,
( ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
!= $true )
| spl101_15 ),
inference(avatar_component_clause,[status(thm)],[f1702]) ).
thf(f1702,definition,
( spl101_15
<=> ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl101_15])],[avatar_definition]) ).
thf(f1715,plain,
~ spl101_15,
inference(avatar_split_clause,[status(thm)],[f1698,f1702]) ).
thf(f1698,plain,
( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
!= $true ),
inference(duplicate_literal_removal,[status(thm)],[f1697]) ).
thf(f1697,plain,
( ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
!= $true )
| ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f1694]) ).
thf(f1694,plain,
( ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
!= $true )
| ( ( in
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) )
@ sK59 )
!= ( ^ [Y0: $i] : $true
@ ( sK14 @ sK59
@ ( dsetconstr @ sK59
@ ^ [Y0: $i] : $true ) ) ) ) ),
inference(superposition,[status(thm)],[f1660,f688]) ).
thf(f688,plain,
! [X3: $i > $o,X4: $i,X5: $i] :
( ( ( X3 @ X4 )
= ( in @ X4 @ ( dsetconstr @ X5 @ X3 ) ) )
| ( ( in @ X4 @ X5 )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f687]) ).
thf(f687,plain,
! [X3: $i > $o,X4: $i,X5: $i] :
( ( ( X3 @ X4 )
= ( in @ X4
@ ( dsetconstr @ X5
@ ^ [Y0: $i] : ( X3 @ Y0 ) ) ) )
| ( ( in @ X4 @ X5 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f564]) ).
thf(f564,plain,
! [X3: $i > $o,X4: $i,X5: $i] :
( ( ( in @ X4 @ X5 )
!= $true )
| ( ( X3 @ X4 )
= ( in @ X4
@ ( dsetconstr @ X5
@ ^ [Y0: $i] : ( X3 @ Y0 ) ) ) )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f372,f424]) ).
thf(f424,plain,
setbeta = $true,
inference(cnf_transformation,[status(thm)],[f265]) ).
thf(f372,plain,
! [X3: $i > $o,X4: $i,X5: $i] :
( ( ( in @ X4 @ X5 )
!= $true )
| ( ( X3 @ X4 )
= ( in @ X4
@ ( dsetconstr @ X5
@ ^ [Y0: $i] : ( X3 @ Y0 ) ) ) )
| ( setbeta != $true ) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
thf(f209,plain,
( ( ( setbeta = $true )
| ( ( ( in @ sK31 @ sK32 )
= $true )
& ( ( in @ sK31
@ ( dsetconstr @ sK32
@ ^ [Y0: $i] : ( sK30 @ Y0 ) ) )
!= ( sK30 @ sK31 ) ) ) )
& ( ! [X3: $i > $o,X4: $i,X5: $i] :
( ( ( in @ X4 @ X5 )
!= $true )
| ( ( X3 @ X4 )
= ( in @ X4
@ ( dsetconstr @ X5
@ ^ [Y0: $i] : ( X3 @ Y0 ) ) ) ) )
| ( setbeta != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32])],[f207,f208]) ).
thf(f208,plain,
( ? [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
= $true )
& ( ( X0 @ X1 )
!= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ) )
=> ( ( ( in @ sK31 @ sK32 )
= $true )
& ( ( in @ sK31
@ ( dsetconstr @ sK32
@ ^ [Y0: $i] : ( sK30 @ Y0 ) ) )
!= ( sK30 @ sK31 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f207,plain,
( ( ( setbeta = $true )
| ? [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
= $true )
& ( ( X0 @ X1 )
!= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ) ) )
& ( ! [X3: $i > $o,X4: $i,X5: $i] :
( ( ( in @ X4 @ X5 )
!= $true )
| ( ( X3 @ X4 )
= ( in @ X4
@ ( dsetconstr @ X5
@ ^ [Y0: $i] : ( X3 @ Y0 ) ) ) ) )
| ( setbeta != $true ) ) ),
inference(rectify,[status(thm)],[f206]) ).
thf(f206,plain,
( ( ( setbeta = $true )
| ? [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
= $true )
& ( ( X0 @ X1 )
!= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ) ) )
& ( ! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
| ( ( X0 @ X1 )
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ) )
| ( setbeta != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f125]) ).
thf(f125,plain,
( ( setbeta = $true )
<=> ! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
!= $true )
| ( ( X0 @ X1 )
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f71]) ).
thf(f71,plain,
( ( setbeta = $true )
<=> ! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( in @ X1 @ X2 )
= $true )
=> ( ( X0 @ X1 )
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f70]) ).
thf(f70,plain,
( setbeta
= ( ! [X0: $i > $o,X1: $i,X2: $i] :
( ( in @ X1 @ X2 )
=> ( ( in @ X1
@ ( dsetconstr @ X2
@ ^ [X3: $i] : ( X0 @ X3 ) ) )
<=> ( X0 @ X1 ) ) ) ) ),
inference(rectify,[status(thm)],[f27]) ).
thf(f27,axiom,
( setbeta
= ( ! [X0: $i > $o,X1: $i,X3: $i] :
( ( in @ X1 @ X3 )
=> ( ( in @ X1
@ ( dsetconstr @ X3
@ ^ [X2: $i] : ( X0 @ X2 ) ) )
<=> ( X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.rQOsFAri2i/DTF2THF_7478.p',setbeta) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU517^1 : 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
% 0.16/0.34 % Computer : n021.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 12:25:24 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.46 ---- Original DTF file ---
% 0.19/0.46 thf(spec,logic,$$dhol).
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 % File : SEU517^1 : TPTP v9.2.1. Released v3.7.0.
% 0.19/0.46 % Domain : Set Theory
% 0.19/0.46 % Problem : Preliminary Notions - Power Sets and Unions
% 0.19/0.46 % Version : Especial.
% 0.19/0.46 % English : (! A:i.dsetconstr A (^ x:i.true) = A)
% 0.19/0.46
% 0.19/0.46 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.19/0.46 % Source : [Bro08]
% 0.19/0.46 % Names : ZFC019g [Bro08]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % Rating : 0.56 v9.1.0, 0.50 v9.0.0, 0.60 v8.2.0, 0.69 v8.1.0, 0.55 v7.5.0, 0.57 v7.4.0, 0.44 v7.2.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.71 v5.5.0, 0.83 v5.4.0, 1.00 v5.3.0, 0.80 v5.0.0, 0.60 v4.1.0, 1.00 v3.7.0
% 0.19/0.46 % Syntax : Number of formulae : 81 ( 36 unt; 44 typ; 36 def)
% 0.19/0.46 % Number of atoms : 205 ( 48 equ; 0 cnn)
% 0.19/0.46 % Maximal formula atoms : 34 ( 5 avg)
% 0.19/0.46 % Number of connectives : 345 ( 7 ~; 4 |; 18 &; 225 @)
% 0.19/0.46 % ( 7 <=>; 84 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 35 ( 2 avg)
% 0.19/0.46 % Number of types : 2 ( 0 usr)
% 0.19/0.46 % Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% 0.19/0.46 % Number of symbols : 47 ( 44 usr; 37 con; 0-2 aty)
% 0.19/0.46 % Number of variables : 115 ( 15 ^; 84 !; 16 ?; 115 :)
% 0.19/0.46 % SPC : TH0_THM_EQU_NAR
% 0.19/0.46
% 0.19/0.46 % Comments : http://mathgate.info/detsetitem.php?id=466
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 thf(in_type,type,
% 0.19/0.46 in: $i > $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(exu_type,type,
% 0.19/0.46 exu: ( $i > $o ) > $o ).
% 0.19/0.46
% 0.19/0.46 thf(exu,definition,
% 0.19/0.46 ( exu
% 0.19/0.46 = ( ^ [Xphi: $i > $o] :
% 0.19/0.46 ? [Xx: $i] :
% 0.19/0.46 ( ( Xphi @ Xx )
% 0.19/0.46 & ! [Xy: $i] :
% 0.19/0.46 ( ( Xphi @ Xy )
% 0.19/0.46 => ( Xx = Xy ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setextAx_type,type,
% 0.19/0.46 setextAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(setextAx,definition,
% 0.19/0.46 ( setextAx
% 0.19/0.46 = ( ! [A: $i,B: $i] :
% 0.19/0.46 ( ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ A )
% 0.19/0.46 <=> ( in @ Xx @ B ) )
% 0.19/0.46 => ( A = B ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(emptyset_type,type,
% 0.19/0.46 emptyset: $i ).
% 0.19/0.46
% 0.19/0.46 thf(emptysetAx_type,type,
% 0.19/0.46 emptysetAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(emptysetAx,definition,
% 0.19/0.46 ( emptysetAx
% 0.19/0.46 = ( ! [Xx: $i] :
% 0.19/0.46 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoin_type,type,
% 0.19/0.46 setadjoin: $i > $i > $i ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinAx_type,type,
% 0.19/0.46 setadjoinAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinAx,definition,
% 0.19/0.46 ( setadjoinAx
% 0.19/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.19/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.19/0.46 <=> ( ( Xy = Xx )
% 0.19/0.46 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(powerset_type,type,
% 0.19/0.46 powerset: $i > $i ).
% 0.19/0.46
% 0.19/0.46 thf(powersetAx_type,type,
% 0.19/0.46 powersetAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(powersetAx,definition,
% 0.19/0.46 ( powersetAx
% 0.19/0.46 = ( ! [A: $i,B: $i] :
% 0.19/0.46 ( ( in @ B @ ( powerset @ A ) )
% 0.19/0.46 <=> ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ B )
% 0.19/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setunion_type,type,
% 0.19/0.46 setunion: $i > $i ).
% 0.19/0.46
% 0.19/0.46 thf(setunionAx_type,type,
% 0.19/0.46 setunionAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(setunionAx,definition,
% 0.19/0.46 ( setunionAx
% 0.19/0.46 = ( ! [A: $i,Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ ( setunion @ A ) )
% 0.19/0.46 <=> ? [B: $i] :
% 0.19/0.46 ( ( in @ Xx @ B )
% 0.19/0.46 & ( in @ B @ A ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(omega_type,type,
% 0.19/0.46 omega: $i ).
% 0.19/0.46
% 0.19/0.46 thf(omega0Ax_type,type,
% 0.19/0.46 omega0Ax: $o ).
% 0.19/0.46
% 0.19/0.46 thf(omega0Ax,definition,
% 0.19/0.46 ( omega0Ax
% 0.19/0.46 = ( in @ emptyset @ omega ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(omegaSAx_type,type,
% 0.19/0.46 omegaSAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(omegaSAx,definition,
% 0.19/0.46 ( omegaSAx
% 0.19/0.46 = ( ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ omega )
% 0.19/0.46 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(omegaIndAx_type,type,
% 0.19/0.46 omegaIndAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(omegaIndAx,definition,
% 0.19/0.46 ( omegaIndAx
% 0.19/0.46 = ( ! [A: $i] :
% 0.19/0.46 ( ( ( in @ emptyset @ A )
% 0.19/0.46 & ! [Xx: $i] :
% 0.19/0.46 ( ( ( in @ Xx @ omega )
% 0.19/0.46 & ( in @ Xx @ A ) )
% 0.19/0.46 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.19/0.46 => ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ omega )
% 0.19/0.46 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(replAx_type,type,
% 0.19/0.46 replAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(replAx,definition,
% 0.19/0.46 ( replAx
% 0.19/0.46 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.19/0.46 ( ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ A )
% 0.19/0.46 => ( exu
% 0.19/0.46 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.19/0.46 => ? [B: $i] :
% 0.19/0.46 ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ B )
% 0.19/0.46 <=> ? [Xy: $i] :
% 0.19/0.46 ( ( in @ Xy @ A )
% 0.19/0.46 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(foundationAx_type,type,
% 0.19/0.46 foundationAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(foundationAx,definition,
% 0.19/0.46 ( foundationAx
% 0.19/0.46 = ( ! [A: $i] :
% 0.19/0.46 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.19/0.46 => ? [B: $i] :
% 0.19/0.46 ( ( in @ B @ A )
% 0.19/0.46 & ~ ? [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ B )
% 0.19/0.46 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(wellorderingAx_type,type,
% 0.19/0.46 wellorderingAx: $o ).
% 0.19/0.46
% 0.19/0.46 thf(wellorderingAx,definition,
% 0.19/0.46 ( wellorderingAx
% 0.19/0.46 = ( ! [A: $i] :
% 0.19/0.46 ? [B: $i] :
% 0.19/0.46 ( ! [C: $i] :
% 0.19/0.46 ( ( in @ C @ B )
% 0.19/0.46 => ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ C )
% 0.19/0.46 => ( in @ Xx @ A ) ) )
% 0.19/0.46 & ! [Xx: $i,Xy: $i] :
% 0.19/0.46 ( ( ( in @ Xx @ A )
% 0.19/0.46 & ( in @ Xy @ A ) )
% 0.19/0.46 => ( ! [C: $i] :
% 0.19/0.46 ( ( in @ C @ B )
% 0.19/0.46 => ( ( in @ Xx @ C )
% 0.19/0.46 <=> ( in @ Xy @ C ) ) )
% 0.19/0.46 => ( Xx = Xy ) ) )
% 0.19/0.46 & ! [C: $i,D: $i] :
% 0.19/0.46 ( ( ( in @ C @ B )
% 0.19/0.46 & ( in @ D @ B ) )
% 0.19/0.46 => ( ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ C )
% 0.19/0.46 => ( in @ Xx @ D ) )
% 0.19/0.46 | ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ D )
% 0.19/0.46 => ( in @ Xx @ C ) ) ) )
% 0.19/0.46 & ! [C: $i] :
% 0.19/0.46 ( ( ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ C )
% 0.19/0.46 => ( in @ Xx @ A ) )
% 0.19/0.46 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.19/0.46 => ? [D: $i,Xx: $i] :
% 0.19/0.46 ( ( in @ D @ B )
% 0.19/0.46 & ( in @ Xx @ C )
% 0.19/0.46 & ~ ? [Xy: $i] :
% 0.19/0.46 ( ( in @ Xy @ D )
% 0.19/0.46 & ( in @ Xy @ C ) )
% 0.19/0.46 & ! [E: $i] :
% 0.19/0.46 ( ( in @ E @ B )
% 0.19/0.46 => ( ! [Xy: $i] :
% 0.19/0.46 ( ( in @ Xy @ E )
% 0.19/0.46 => ( in @ Xy @ D ) )
% 0.19/0.46 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(descr_type,type,
% 0.19/0.46 descr: ( $i > $o ) > $i ).
% 0.19/0.46
% 0.19/0.46 thf(descrp_type,type,
% 0.19/0.46 descrp: $o ).
% 0.19/0.46
% 0.19/0.46 thf(descrp,definition,
% 0.19/0.46 ( descrp
% 0.19/0.46 = ( ! [Xphi: $i > $o] :
% 0.19/0.46 ( ( exu
% 0.19/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.19/0.46 => ( Xphi
% 0.19/0.46 @ ( descr
% 0.19/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(dsetconstr_type,type,
% 0.19/0.46 dsetconstr: $i > ( $i > $o ) > $i ).
% 0.19/0.46
% 0.19/0.46 thf(dsetconstrI_type,type,
% 0.19/0.46 dsetconstrI: $o ).
% 0.19/0.46
% 0.19/0.46 thf(dsetconstrI,definition,
% 0.19/0.46 ( dsetconstrI
% 0.19/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ A )
% 0.19/0.46 => ( ( Xphi @ Xx )
% 0.19/0.46 => ( in @ Xx
% 0.19/0.46 @ ( dsetconstr @ A
% 0.19/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(dsetconstrEL_type,type,
% 0.19/0.46 dsetconstrEL: $o ).
% 0.19/0.46
% 0.19/0.46 thf(dsetconstrEL,definition,
% 0.19/0.46 ( dsetconstrEL
% 0.19/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.19/0.46 ( ( in @ Xx
% 0.19/0.46 @ ( dsetconstr @ A
% 0.19/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.19/0.46 => ( in @ Xx @ A ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(dsetconstrER_type,type,
% 0.19/0.46 dsetconstrER: $o ).
% 0.19/0.46
% 0.19/0.46 thf(dsetconstrER,definition,
% 0.19/0.46 ( dsetconstrER
% 0.19/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.19/0.46 ( ( in @ Xx
% 0.19/0.46 @ ( dsetconstr @ A
% 0.19/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.19/0.46 => ( Xphi @ Xx ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(exuE1_type,type,
% 0.19/0.46 exuE1: $o ).
% 0.19/0.46
% 0.19/0.46 thf(exuE1,definition,
% 0.19/0.46 ( exuE1
% 0.19/0.46 = ( ! [Xphi: $i > $o] :
% 0.19/0.46 ( ( exu
% 0.19/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.19/0.46 => ? [Xx: $i] :
% 0.19/0.46 ( ( Xphi @ Xx )
% 0.19/0.46 & ! [Xy: $i] :
% 0.19/0.46 ( ( Xphi @ Xy )
% 0.19/0.46 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(prop2set_type,type,
% 0.19/0.46 prop2set: $o > $i ).
% 0.19/0.46
% 0.19/0.46 thf(prop2set,definition,
% 0.19/0.46 ( prop2set
% 0.19/0.46 = ( ^ [Xphi: $o] :
% 0.19/0.46 ( dsetconstr @ ( powerset @ emptyset )
% 0.19/0.46 @ ^ [Xx: $i] : Xphi ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(prop2setE_type,type,
% 0.19/0.46 prop2setE: $o ).
% 0.19/0.46
% 0.19/0.46 thf(prop2setE,definition,
% 0.19/0.46 ( prop2setE
% 0.19/0.46 = ( ! [Xphi: $o,Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.19/0.46 => Xphi ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(emptysetE_type,type,
% 0.19/0.46 emptysetE: $o ).
% 0.19/0.46
% 0.19/0.46 thf(emptysetE,definition,
% 0.19/0.46 ( emptysetE
% 0.19/0.46 = ( ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ emptyset )
% 0.19/0.46 => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(emptysetimpfalse_type,type,
% 0.19/0.46 emptysetimpfalse: $o ).
% 0.19/0.46
% 0.19/0.46 thf(emptysetimpfalse,definition,
% 0.19/0.46 ( emptysetimpfalse
% 0.19/0.46 = ( ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ emptyset )
% 0.19/0.46 => $false ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(notinemptyset_type,type,
% 0.19/0.46 notinemptyset: $o ).
% 0.19/0.46
% 0.19/0.46 thf(notinemptyset,definition,
% 0.19/0.46 ( notinemptyset
% 0.19/0.46 = ( ! [Xx: $i] :
% 0.19/0.46 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(exuE3e_type,type,
% 0.19/0.46 exuE3e: $o ).
% 0.19/0.46
% 0.19/0.46 thf(exuE3e,definition,
% 0.19/0.46 ( exuE3e
% 0.19/0.46 = ( ! [Xphi: $i > $o] :
% 0.19/0.46 ( ( exu
% 0.19/0.46 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.19/0.46 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setext_type,type,
% 0.19/0.46 setext: $o ).
% 0.19/0.46
% 0.19/0.46 thf(setext,definition,
% 0.19/0.46 ( setext
% 0.19/0.46 = ( ! [A: $i,B: $i] :
% 0.19/0.46 ( ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ A )
% 0.19/0.46 => ( in @ Xx @ B ) )
% 0.19/0.46 => ( ! [Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ B )
% 0.19/0.46 => ( in @ Xx @ A ) )
% 0.19/0.46 => ( A = B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(emptyI_type,type,
% 0.19/0.46 emptyI: $o ).
% 0.19/0.46
% 0.19/0.46 thf(emptyI,definition,
% 0.19/0.46 ( emptyI
% 0.19/0.46 = ( ! [A: $i] :
% 0.19/0.46 ( ! [Xx: $i] :
% 0.19/0.46 ~ ( in @ Xx @ A )
% 0.19/0.46 => ( A = emptyset ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(noeltsimpempty_type,type,
% 0.19/0.46 noeltsimpempty: $o ).
% 0.19/0.46
% 0.19/0.46 thf(noeltsimpempty,definition,
% 0.19/0.46 ( noeltsimpempty
% 0.19/0.46 = ( ! [A: $i] :
% 0.19/0.46 ( ! [Xx: $i] :
% 0.19/0.46 ~ ( in @ Xx @ A )
% 0.19/0.46 => ( A = emptyset ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setbeta_type,type,
% 0.19/0.46 setbeta: $o ).
% 0.19/0.46
% 0.19/0.46 thf(setbeta,definition,
% 0.19/0.46 ( setbeta
% 0.19/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ A )
% 0.19/0.46 => ( ( in @ Xx
% 0.19/0.46 @ ( dsetconstr @ A
% 0.19/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.19/0.46 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(nonempty_type,type,
% 0.19/0.46 nonempty: $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(nonempty,definition,
% 0.19/0.46 ( nonempty
% 0.19/0.46 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(nonemptyE1_type,type,
% 0.19/0.46 nonemptyE1: $o ).
% 0.19/0.46
% 0.19/0.46 thf(nonemptyE1,definition,
% 0.19/0.46 ( nonemptyE1
% 0.19/0.46 = ( ! [A: $i] :
% 0.19/0.46 ( ( nonempty @ A )
% 0.19/0.46 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(nonemptyI_type,type,
% 0.19/0.46 nonemptyI: $o ).
% 0.19/0.46
% 0.19/0.46 thf(nonemptyI,definition,
% 0.19/0.46 ( nonemptyI
% 0.19/0.46 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.19/0.46 ( ( in @ Xx @ A )
% 0.19/0.46 => ( ( Xphi @ Xx )
% 0.19/0.46 => ( nonempty
% 0.19/0.46 @ ( dsetconstr @ A
% 0.19/0.46 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(nonemptyI1_type,type,
% 0.19/0.46 nonemptyI1: $o ).
% 0.19/0.46
% 0.19/0.46 thf(nonemptyI1,definition,
% 0.19/0.46 ( nonemptyI1
% 0.19/0.46 = ( ! [A: $i] :
% 0.19/0.46 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.19/0.46 => ( nonempty @ A ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinIL_type,type,
% 0.19/0.46 setadjoinIL: $o ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinIL,definition,
% 0.19/0.46 ( setadjoinIL
% 0.19/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(emptyinunitempty_type,type,
% 0.19/0.46 emptyinunitempty: $o ).
% 0.19/0.46
% 0.19/0.46 thf(emptyinunitempty,definition,
% 0.19/0.46 ( emptyinunitempty
% 0.19/0.46 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinIR_type,type,
% 0.19/0.46 setadjoinIR: $o ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinIR,definition,
% 0.19/0.46 ( setadjoinIR
% 0.19/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.19/0.46 ( ( in @ Xy @ A )
% 0.19/0.46 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinE_type,type,
% 0.19/0.46 setadjoinE: $o ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinE,definition,
% 0.19/0.46 ( setadjoinE
% 0.19/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.19/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.19/0.46 => ! [Xphi: $o] :
% 0.19/0.46 ( ( ( Xy = Xx )
% 0.19/0.46 => Xphi )
% 0.19/0.46 => ( ( ( in @ Xy @ A )
% 0.19/0.46 => Xphi )
% 0.19/0.46 => Xphi ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinOr_type,type,
% 0.19/0.46 setadjoinOr: $o ).
% 0.19/0.46
% 0.19/0.46 thf(setadjoinOr,definition,
% 0.19/0.46 ( setadjoinOr
% 0.19/0.46 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.19/0.46 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.19/0.46 => ( ( Xy = Xx )
% 0.19/0.46 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(setoftrueEq,conjecture,
% 0.19/0.46 ( setextAx
% 0.19/0.46 => ( emptysetAx
% 0.19/0.46 => ( setadjoinAx
% 0.19/0.46 => ( powersetAx
% 0.19/0.46 => ( setunionAx
% 0.19/0.46 => ( omega0Ax
% 0.19/0.46 => ( omegaSAx
% 0.19/0.46 => ( omegaIndAx
% 0.19/0.46 => ( replAx
% 0.19/0.46 => ( foundationAx
% 0.19/0.46 => ( wellorderingAx
% 0.19/0.46 => ( descrp
% 0.19/0.46 => ( dsetconstrI
% 0.19/0.46 => ( dsetconstrEL
% 0.19/0.46 => ( dsetconstrER
% 0.19/0.46 => ( exuE1
% 0.19/0.46 => ( prop2setE
% 0.19/0.46 => ( emptysetE
% 0.19/0.46 => ( emptysetimpfalse
% 0.19/0.46 => ( notinemptyset
% 0.19/0.46 => ( exuE3e
% 0.19/0.46 => ( setext
% 0.19/0.46 => ( emptyI
% 0.19/0.46 => ( noeltsimpempty
% 0.19/0.46 => ( setbeta
% 0.19/0.46 => ( nonemptyE1
% 0.19/0.46 => ( nonemptyI
% 0.19/0.46 => ( nonemptyI1
% 0.19/0.46 => ( setadjoinIL
% 0.19/0.46 => ( emptyinunitempty
% 0.19/0.46 => ( setadjoinIR
% 0.19/0.46 => ( setadjoinE
% 0.19/0.46 => ( setadjoinOr
% 0.19/0.46 => ! [A: $i] :
% 0.19/0.46 ( ( dsetconstr @ A
% 0.19/0.46 @ ^ [Xx: $i] : $true )
% 0.19/0.46 = A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 0.30/1.50 ---- Embedded in THF ---
% 0.30/1.50 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.30/1.50 %%% Generated on Tue Feb 24 12:25:25 EST 2026
% 0.30/1.50 %%% using '$$dhol' embedding, version 1.3.0.
% 0.30/1.50 %%% Logic specification used:
% 0.30/1.50 %%% thf(spec, logic, $$dhol).
% 0.30/1.50
% 0.30/1.50 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.rQOsFAri2i/DTF2DTF7478.p
% See solution above
% 0.30/1.50 ------------------------
% 0.30/1.52 ---- Cleaned THF ---
% 0.30/1.52 thf(in_type,type,
% 0.30/1.52 in: $i > $i > $o ).
% 0.30/1.52
% 0.30/1.52 thf(exu_type,type,
% 0.30/1.52 exu: ( $i > $o ) > $o ).
% 0.30/1.52
% 0.30/1.52 thf(exu,definition,
% 0.30/1.52 ( exu
% 0.30/1.52 = ( ^ [Xphi: $i > $o] :
% 0.30/1.52 ? [Xx: $i] :
% 0.30/1.52 ( ( Xphi @ Xx )
% 0.30/1.52 & ! [Xy: $i] :
% 0.30/1.52 ( ( Xphi @ Xy )
% 0.30/1.52 => ( Xx = Xy ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setextAx_type,type,
% 0.30/1.52 setextAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(setextAx,definition,
% 0.30/1.52 ( setextAx
% 0.30/1.52 = ( ! [A: $i,B: $i] :
% 0.30/1.52 ( ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ A )
% 0.30/1.52 <=> ( in @ Xx @ B ) )
% 0.30/1.52 => ( A = B ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(emptyset_type,type,
% 0.30/1.52 emptyset: $i ).
% 0.30/1.52
% 0.30/1.52 thf(emptysetAx_type,type,
% 0.30/1.52 emptysetAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(emptysetAx,definition,
% 0.30/1.52 ( emptysetAx
% 0.30/1.52 = ( ! [Xx: $i] :
% 0.30/1.52 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoin_type,type,
% 0.30/1.52 setadjoin: $i > $i > $i ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinAx_type,type,
% 0.30/1.52 setadjoinAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinAx,definition,
% 0.30/1.52 ( setadjoinAx
% 0.30/1.52 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/1.52 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.30/1.52 <=> ( ( Xy = Xx )
% 0.30/1.52 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(powerset_type,type,
% 0.30/1.52 powerset: $i > $i ).
% 0.30/1.52
% 0.30/1.52 thf(powersetAx_type,type,
% 0.30/1.52 powersetAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(powersetAx,definition,
% 0.30/1.52 ( powersetAx
% 0.30/1.52 = ( ! [A: $i,B: $i] :
% 0.30/1.52 ( ( in @ B @ ( powerset @ A ) )
% 0.30/1.52 <=> ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ B )
% 0.30/1.52 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setunion_type,type,
% 0.30/1.52 setunion: $i > $i ).
% 0.30/1.52
% 0.30/1.52 thf(setunionAx_type,type,
% 0.30/1.52 setunionAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(setunionAx,definition,
% 0.30/1.52 ( setunionAx
% 0.30/1.52 = ( ! [A: $i,Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ ( setunion @ A ) )
% 0.30/1.52 <=> ? [B: $i] :
% 0.30/1.52 ( ( in @ Xx @ B )
% 0.30/1.52 & ( in @ B @ A ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(omega_type,type,
% 0.30/1.52 omega: $i ).
% 0.30/1.52
% 0.30/1.52 thf(omega0Ax_type,type,
% 0.30/1.52 omega0Ax: $o ).
% 0.30/1.52
% 0.30/1.52 thf(omega0Ax,definition,
% 0.30/1.52 ( omega0Ax
% 0.30/1.52 = ( in @ emptyset @ omega ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(omegaSAx_type,type,
% 0.30/1.52 omegaSAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(omegaSAx,definition,
% 0.30/1.52 ( omegaSAx
% 0.30/1.52 = ( ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ omega )
% 0.30/1.52 => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(omegaIndAx_type,type,
% 0.30/1.52 omegaIndAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(omegaIndAx,definition,
% 0.30/1.52 ( omegaIndAx
% 0.30/1.52 = ( ! [A: $i] :
% 0.30/1.52 ( ( ( in @ emptyset @ A )
% 0.30/1.52 & ! [Xx: $i] :
% 0.30/1.52 ( ( ( in @ Xx @ omega )
% 0.30/1.52 & ( in @ Xx @ A ) )
% 0.30/1.52 => ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) )
% 0.30/1.52 => ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ omega )
% 0.30/1.52 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(replAx_type,type,
% 0.30/1.52 replAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(replAx,definition,
% 0.30/1.52 ( replAx
% 0.30/1.52 = ( ! [Xphi: $i > $i > $o,A: $i] :
% 0.30/1.52 ( ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ A )
% 0.30/1.52 => ( exu
% 0.30/1.52 @ ^ [Xy: $i] : ( Xphi @ Xx @ Xy ) ) )
% 0.30/1.52 => ? [B: $i] :
% 0.30/1.52 ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ B )
% 0.30/1.52 <=> ? [Xy: $i] :
% 0.30/1.52 ( ( in @ Xy @ A )
% 0.30/1.52 & ( Xphi @ Xy @ Xx ) ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(foundationAx_type,type,
% 0.30/1.52 foundationAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(foundationAx,definition,
% 0.30/1.52 ( foundationAx
% 0.30/1.52 = ( ! [A: $i] :
% 0.30/1.52 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.30/1.52 => ? [B: $i] :
% 0.30/1.52 ( ( in @ B @ A )
% 0.30/1.52 & ~ ? [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ B )
% 0.30/1.52 & ( in @ Xx @ A ) ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(wellorderingAx_type,type,
% 0.30/1.52 wellorderingAx: $o ).
% 0.30/1.52
% 0.30/1.52 thf(wellorderingAx,definition,
% 0.30/1.52 ( wellorderingAx
% 0.30/1.52 = ( ! [A: $i] :
% 0.30/1.52 ? [B: $i] :
% 0.30/1.52 ( ! [C: $i] :
% 0.30/1.52 ( ( in @ C @ B )
% 0.30/1.52 => ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ C )
% 0.30/1.52 => ( in @ Xx @ A ) ) )
% 0.30/1.52 & ! [Xx: $i,Xy: $i] :
% 0.30/1.52 ( ( ( in @ Xx @ A )
% 0.30/1.52 & ( in @ Xy @ A ) )
% 0.30/1.52 => ( ! [C: $i] :
% 0.30/1.52 ( ( in @ C @ B )
% 0.30/1.52 => ( ( in @ Xx @ C )
% 0.30/1.52 <=> ( in @ Xy @ C ) ) )
% 0.30/1.52 => ( Xx = Xy ) ) )
% 0.30/1.52 & ! [C: $i,D: $i] :
% 0.30/1.52 ( ( ( in @ C @ B )
% 0.30/1.52 & ( in @ D @ B ) )
% 0.30/1.52 => ( ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ C )
% 0.30/1.52 => ( in @ Xx @ D ) )
% 0.30/1.52 | ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ D )
% 0.30/1.52 => ( in @ Xx @ C ) ) ) )
% 0.30/1.52 & ! [C: $i] :
% 0.30/1.52 ( ( ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ C )
% 0.30/1.52 => ( in @ Xx @ A ) )
% 0.30/1.52 & ? [Xx: $i] : ( in @ Xx @ C ) )
% 0.30/1.52 => ? [D: $i,Xx: $i] :
% 0.30/1.52 ( ( in @ D @ B )
% 0.30/1.52 & ( in @ Xx @ C )
% 0.30/1.52 & ~ ? [Xy: $i] :
% 0.30/1.52 ( ( in @ Xy @ D )
% 0.30/1.52 & ( in @ Xy @ C ) )
% 0.30/1.52 & ! [E: $i] :
% 0.30/1.52 ( ( in @ E @ B )
% 0.30/1.52 => ( ! [Xy: $i] :
% 0.30/1.52 ( ( in @ Xy @ E )
% 0.30/1.52 => ( in @ Xy @ D ) )
% 0.30/1.52 | ( in @ Xx @ E ) ) ) ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(descr_type,type,
% 0.30/1.52 descr: ( $i > $o ) > $i ).
% 0.30/1.52
% 0.30/1.52 thf(descrp_type,type,
% 0.30/1.52 descrp: $o ).
% 0.30/1.52
% 0.30/1.52 thf(descrp,definition,
% 0.30/1.52 ( descrp
% 0.30/1.52 = ( ! [Xphi: $i > $o] :
% 0.30/1.52 ( ( exu
% 0.30/1.52 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/1.52 => ( Xphi
% 0.30/1.52 @ ( descr
% 0.30/1.52 @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(dsetconstr_type,type,
% 0.30/1.52 dsetconstr: $i > ( $i > $o ) > $i ).
% 0.30/1.52
% 0.30/1.52 thf(dsetconstrI_type,type,
% 0.30/1.52 dsetconstrI: $o ).
% 0.30/1.52
% 0.30/1.52 thf(dsetconstrI,definition,
% 0.30/1.52 ( dsetconstrI
% 0.30/1.52 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ A )
% 0.30/1.52 => ( ( Xphi @ Xx )
% 0.30/1.52 => ( in @ Xx
% 0.30/1.52 @ ( dsetconstr @ A
% 0.30/1.52 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(dsetconstrEL_type,type,
% 0.30/1.52 dsetconstrEL: $o ).
% 0.30/1.52
% 0.30/1.52 thf(dsetconstrEL,definition,
% 0.30/1.52 ( dsetconstrEL
% 0.30/1.52 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/1.52 ( ( in @ Xx
% 0.30/1.52 @ ( dsetconstr @ A
% 0.30/1.52 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.30/1.52 => ( in @ Xx @ A ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(dsetconstrER_type,type,
% 0.30/1.52 dsetconstrER: $o ).
% 0.30/1.52
% 0.30/1.52 thf(dsetconstrER,definition,
% 0.30/1.52 ( dsetconstrER
% 0.30/1.52 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/1.52 ( ( in @ Xx
% 0.30/1.52 @ ( dsetconstr @ A
% 0.30/1.52 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.30/1.52 => ( Xphi @ Xx ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(exuE1_type,type,
% 0.30/1.52 exuE1: $o ).
% 0.30/1.52
% 0.30/1.52 thf(exuE1,definition,
% 0.30/1.52 ( exuE1
% 0.30/1.52 = ( ! [Xphi: $i > $o] :
% 0.30/1.52 ( ( exu
% 0.30/1.52 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/1.52 => ? [Xx: $i] :
% 0.30/1.52 ( ( Xphi @ Xx )
% 0.30/1.52 & ! [Xy: $i] :
% 0.30/1.52 ( ( Xphi @ Xy )
% 0.30/1.52 => ( Xx = Xy ) ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(prop2set_type,type,
% 0.30/1.52 prop2set: $o > $i ).
% 0.30/1.52
% 0.30/1.52 thf(prop2set,definition,
% 0.30/1.52 ( prop2set
% 0.30/1.52 = ( ^ [Xphi: $o] :
% 0.30/1.52 ( dsetconstr @ ( powerset @ emptyset )
% 0.30/1.52 @ ^ [Xx: $i] : Xphi ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(prop2setE_type,type,
% 0.30/1.52 prop2setE: $o ).
% 0.30/1.52
% 0.30/1.52 thf(prop2setE,definition,
% 0.30/1.52 ( prop2setE
% 0.30/1.52 = ( ! [Xphi: $o,Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ ( prop2set @ Xphi ) )
% 0.30/1.52 => Xphi ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(emptysetE_type,type,
% 0.30/1.52 emptysetE: $o ).
% 0.30/1.52
% 0.30/1.52 thf(emptysetE,definition,
% 0.30/1.52 ( emptysetE
% 0.30/1.52 = ( ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ emptyset )
% 0.30/1.52 => ! [Xphi: $o] : Xphi ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(emptysetimpfalse_type,type,
% 0.30/1.52 emptysetimpfalse: $o ).
% 0.30/1.52
% 0.30/1.52 thf(emptysetimpfalse,definition,
% 0.30/1.52 ( emptysetimpfalse
% 0.30/1.52 = ( ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ emptyset )
% 0.30/1.52 => $false ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(notinemptyset_type,type,
% 0.30/1.52 notinemptyset: $o ).
% 0.30/1.52
% 0.30/1.52 thf(notinemptyset,definition,
% 0.30/1.52 ( notinemptyset
% 0.30/1.52 = ( ! [Xx: $i] :
% 0.30/1.52 ~ ( in @ Xx @ emptyset ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(exuE3e_type,type,
% 0.30/1.52 exuE3e: $o ).
% 0.30/1.52
% 0.30/1.52 thf(exuE3e,definition,
% 0.30/1.52 ( exuE3e
% 0.30/1.52 = ( ! [Xphi: $i > $o] :
% 0.30/1.52 ( ( exu
% 0.30/1.52 @ ^ [Xx: $i] : ( Xphi @ Xx ) )
% 0.30/1.52 => ? [Xx: $i] : ( Xphi @ Xx ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setext_type,type,
% 0.30/1.52 setext: $o ).
% 0.30/1.52
% 0.30/1.52 thf(setext,definition,
% 0.30/1.52 ( setext
% 0.30/1.52 = ( ! [A: $i,B: $i] :
% 0.30/1.52 ( ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ A )
% 0.30/1.52 => ( in @ Xx @ B ) )
% 0.30/1.52 => ( ! [Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ B )
% 0.30/1.52 => ( in @ Xx @ A ) )
% 0.30/1.52 => ( A = B ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(emptyI_type,type,
% 0.30/1.52 emptyI: $o ).
% 0.30/1.52
% 0.30/1.52 thf(emptyI,definition,
% 0.30/1.52 ( emptyI
% 0.30/1.52 = ( ! [A: $i] :
% 0.30/1.52 ( ! [Xx: $i] :
% 0.30/1.52 ~ ( in @ Xx @ A )
% 0.30/1.52 => ( A = emptyset ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(noeltsimpempty_type,type,
% 0.30/1.52 noeltsimpempty: $o ).
% 0.30/1.52
% 0.30/1.52 thf(noeltsimpempty,definition,
% 0.30/1.52 ( noeltsimpempty
% 0.30/1.52 = ( ! [A: $i] :
% 0.30/1.52 ( ! [Xx: $i] :
% 0.30/1.52 ~ ( in @ Xx @ A )
% 0.30/1.52 => ( A = emptyset ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setbeta_type,type,
% 0.30/1.52 setbeta: $o ).
% 0.30/1.52
% 0.30/1.52 thf(setbeta,definition,
% 0.30/1.52 ( setbeta
% 0.30/1.52 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ A )
% 0.30/1.52 => ( ( in @ Xx
% 0.30/1.52 @ ( dsetconstr @ A
% 0.30/1.52 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
% 0.30/1.52 <=> ( Xphi @ Xx ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(nonempty_type,type,
% 0.30/1.52 nonempty: $i > $o ).
% 0.30/1.52
% 0.30/1.52 thf(nonempty,definition,
% 0.30/1.52 ( nonempty
% 0.30/1.52 = ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(nonemptyE1_type,type,
% 0.30/1.52 nonemptyE1: $o ).
% 0.30/1.52
% 0.30/1.52 thf(nonemptyE1,definition,
% 0.30/1.52 ( nonemptyE1
% 0.30/1.52 = ( ! [A: $i] :
% 0.30/1.52 ( ( nonempty @ A )
% 0.30/1.52 => ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(nonemptyI_type,type,
% 0.30/1.52 nonemptyI: $o ).
% 0.30/1.52
% 0.30/1.52 thf(nonemptyI,definition,
% 0.30/1.52 ( nonemptyI
% 0.30/1.52 = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
% 0.30/1.52 ( ( in @ Xx @ A )
% 0.30/1.52 => ( ( Xphi @ Xx )
% 0.30/1.52 => ( nonempty
% 0.30/1.52 @ ( dsetconstr @ A
% 0.30/1.52 @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(nonemptyI1_type,type,
% 0.30/1.52 nonemptyI1: $o ).
% 0.30/1.52
% 0.30/1.52 thf(nonemptyI1,definition,
% 0.30/1.52 ( nonemptyI1
% 0.30/1.52 = ( ! [A: $i] :
% 0.30/1.52 ( ? [Xx: $i] : ( in @ Xx @ A )
% 0.30/1.52 => ( nonempty @ A ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinIL_type,type,
% 0.30/1.52 setadjoinIL: $o ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinIL,definition,
% 0.30/1.52 ( setadjoinIL
% 0.30/1.52 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(emptyinunitempty_type,type,
% 0.30/1.52 emptyinunitempty: $o ).
% 0.30/1.52
% 0.30/1.52 thf(emptyinunitempty,definition,
% 0.30/1.52 ( emptyinunitempty
% 0.30/1.52 = ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinIR_type,type,
% 0.30/1.52 setadjoinIR: $o ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinIR,definition,
% 0.30/1.52 ( setadjoinIR
% 0.30/1.52 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/1.52 ( ( in @ Xy @ A )
% 0.30/1.52 => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinE_type,type,
% 0.30/1.52 setadjoinE: $o ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinE,definition,
% 0.30/1.52 ( setadjoinE
% 0.30/1.52 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/1.52 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.30/1.52 => ! [Xphi: $o] :
% 0.30/1.52 ( ( ( Xy = Xx )
% 0.30/1.52 => Xphi )
% 0.30/1.52 => ( ( ( in @ Xy @ A )
% 0.30/1.52 => Xphi )
% 0.30/1.52 => Xphi ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinOr_type,type,
% 0.30/1.52 setadjoinOr: $o ).
% 0.30/1.52
% 0.30/1.52 thf(setadjoinOr,definition,
% 0.30/1.52 ( setadjoinOr
% 0.30/1.52 = ( ! [Xx: $i,A: $i,Xy: $i] :
% 0.30/1.52 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
% 0.30/1.52 => ( ( Xy = Xx )
% 0.30/1.52 | ( in @ Xy @ A ) ) ) ) ) ).
% 0.30/1.52
% 0.30/1.52 thf(setoftrueEq,conjecture,
% 0.30/1.52 ( setextAx
% 0.30/1.52 => ( emptysetAx
% 0.30/1.52 => ( setadjoinAx
% 0.30/1.52 => ( powersetAx
% 0.30/1.52 => ( setunionAx
% 0.30/1.52 => ( omega0Ax
% 0.30/1.52 => ( omegaSAx
% 0.30/1.52 => ( omegaIndAx
% 0.30/1.52 => ( replAx
% 0.30/1.52 => ( foundationAx
% 0.30/1.52 => ( wellorderingAx
% 0.30/1.52 => ( descrp
% 0.30/1.52 => ( dsetconstrI
% 0.30/1.52 => ( dsetconstrEL
% 0.30/1.52 => ( dsetconstrER
% 0.30/1.52 => ( exuE1
% 0.30/1.52 => ( prop2setE
% 0.30/1.52 => ( emptysetE
% 0.30/1.52 => ( emptysetimpfalse
% 0.30/1.52 => ( notinemptyset
% 0.30/1.52 => ( exuE3e
% 0.30/1.52 => ( setext
% 0.30/1.52 => ( emptyI
% 0.30/1.52 => ( noeltsimpempty
% 0.30/1.52 => ( setbeta
% 0.30/1.52 => ( nonemptyE1
% 0.30/1.52 => ( nonemptyI
% 0.30/1.52 => ( nonemptyI1
% 0.30/1.52 => ( setadjoinIL
% 0.30/1.52 => ( emptyinunitempty
% 0.30/1.52 => ( setadjoinIR
% 0.30/1.52 => ( setadjoinE
% 0.30/1.52 => ( setadjoinOr
% 0.30/1.52 => ! [A: $i] :
% 0.30/1.52 ( ( dsetconstr @ A
% 0.30/1.52 @ ^ [Xx: $i] : $true )
% 0.30/1.52 = A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.30/1.52 ------------------------
% 0.30/1.54 % (7577)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_7478 for (2999ds/4Mi)
% 0.30/1.54 % (7578)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_7478 for (2999ds/27Mi)
% 0.30/1.54 % (7579)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/2Mi)
% 0.30/1.54 % (7582)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/18Mi)
% 0.30/1.54 % (7580)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_7478 for (2999ds/2Mi)
% 0.30/1.54 % (7581)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_7478 for (2999ds/275Mi)
% 0.30/1.54 % (7576)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/183Mi)
% 0.30/1.54 % (7580)Instruction limit reached!
% 0.30/1.54 % (7580)------------------------------
% 0.30/1.54 % (7580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.54 % (7580)Termination reason: Unknown
% 0.30/1.54 % (7580)Termination phase: shuffling
% 0.30/1.54
% 0.30/1.54 % (7580)Memory used [KB]: 1023
% 0.30/1.54 % (7580)Time elapsed: 0.003 s
% 0.30/1.54 % (7580)Instructions burned: 2 (million)
% 0.30/1.54 % (7580)------------------------------
% 0.30/1.54 % (7580)------------------------------
% 0.30/1.54 % (7579)Instruction limit reached!
% 0.30/1.54 % (7579)------------------------------
% 0.30/1.54 % (7579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.54 % (7579)Termination reason: Unknown
% 0.30/1.54 % (7579)Termination phase: shuffling
% 0.30/1.54
% 0.30/1.54 % (7579)Memory used [KB]: 1023
% 0.30/1.54 % (7579)Time elapsed: 0.004 s
% 0.30/1.54 % (7579)Instructions burned: 4 (million)
% 0.30/1.54 % (7579)------------------------------
% 0.30/1.54 % (7579)------------------------------
% 0.30/1.54 % (7577)Instruction limit reached!
% 0.30/1.54 % (7577)------------------------------
% 0.30/1.54 % (7577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.54 % (7577)Termination reason: Unknown
% 0.30/1.54 % (7577)Termination phase: shuffling
% 0.30/1.54
% 0.30/1.54 % (7577)Memory used [KB]: 1151
% 0.30/1.54 % (7577)Time elapsed: 0.004 s
% 0.30/1.54 % (7577)Instructions burned: 5 (million)
% 0.30/1.54 % (7577)------------------------------
% 0.30/1.54 % (7577)------------------------------
% 0.30/1.55 % (7582)Instruction limit reached!
% 0.30/1.55 % (7582)------------------------------
% 0.30/1.55 % (7582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.55 % (7582)Termination reason: Unknown
% 0.30/1.55 % (7582)Termination phase: Property scanning
% 0.30/1.55
% 0.30/1.55 % (7582)Memory used [KB]: 1407
% 0.30/1.55 % (7582)Time elapsed: 0.011 s
% 0.30/1.55 % (7582)Instructions burned: 18 (million)
% 0.30/1.55 % (7582)------------------------------
% 0.30/1.55 % (7582)------------------------------
% 0.30/1.55 % (7578)Instruction limit reached!
% 0.30/1.55 % (7578)------------------------------
% 0.30/1.55 % (7578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.55 % (7578)Termination reason: Unknown
% 0.30/1.55 % (7578)Termination phase: Saturation
% 0.30/1.55
% 0.30/1.55 % (7578)Memory used [KB]: 5756
% 0.30/1.55 % (7578)Time elapsed: 0.014 s
% 0.30/1.55 % (7578)Instructions burned: 27 (million)
% 0.30/1.55 % (7578)------------------------------
% 0.30/1.55 % (7578)------------------------------
% 0.30/1.56 % (7583)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/3Mi)
% 0.30/1.56 % (7584)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_7478 for (2999ds/37Mi)
% 0.30/1.56 % (7583)Instruction limit reached!
% 0.30/1.56 % (7583)------------------------------
% 0.30/1.56 % (7583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.56 % (7583)Termination reason: Unknown
% 0.30/1.56 % (7583)Termination phase: shuffling
% 0.30/1.56
% 0.30/1.56 % (7583)Memory used [KB]: 1023
% 0.30/1.56 % (7585)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_7478 for (2999ds/15Mi)
% 0.30/1.56 % (7583)Time elapsed: 0.003 s
% 0.30/1.56 % (7583)Instructions burned: 3 (million)
% 0.30/1.56 % (7583)------------------------------
% 0.30/1.56 % (7583)------------------------------
% 0.30/1.57 % (7586)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_7478 for (2999ds/3Mi)
% 0.30/1.57 % (7585)Instruction limit reached!
% 0.30/1.57 % (7585)------------------------------
% 0.30/1.57 % (7585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.57 % (7585)Termination reason: Unknown
% 0.30/1.57 % (7585)Termination phase: Preprocessing 3
% 0.30/1.57
% 0.30/1.57 % (7585)Memory used [KB]: 1407
% 0.30/1.57 % (7585)Time elapsed: 0.009 s
% 0.30/1.57 % (7585)Instructions burned: 15 (million)
% 0.30/1.57 % (7585)------------------------------
% 0.30/1.57 % (7585)------------------------------
% 0.30/1.57 % (7586)Instruction limit reached!
% 0.30/1.57 % (7586)------------------------------
% 0.30/1.57 % (7586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.57 % (7586)Termination reason: Unknown
% 0.30/1.57 % (7586)Termination phase: shuffling
% 0.30/1.57
% 0.30/1.57 % (7586)Memory used [KB]: 1023
% 0.30/1.57 % (7586)Time elapsed: 0.003 s
% 0.30/1.57 % (7586)Instructions burned: 3 (million)
% 0.30/1.57 % (7586)------------------------------
% 0.30/1.57 % (7586)------------------------------
% 0.30/1.57 % (7587)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_7478 for (2999ds/1041Mi)
% 0.30/1.57 % (7584)Instruction limit reached!
% 0.30/1.57 % (7584)------------------------------
% 0.30/1.57 % (7584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.57 % (7584)Termination reason: Unknown
% 0.30/1.57 % (7584)Termination phase: Saturation
% 0.30/1.57
% 0.30/1.57 % (7584)Memory used [KB]: 5884
% 0.30/1.57 % (7584)Time elapsed: 0.018 s
% 0.30/1.57 % (7584)Instructions burned: 38 (million)
% 0.30/1.57 % (7584)------------------------------
% 0.30/1.57 % (7584)------------------------------
% 0.30/1.57 % (7588)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/7Mi)
% 0.30/1.58 % (7588)Instruction limit reached!
% 0.30/1.58 % (7588)------------------------------
% 0.30/1.58 % (7588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.58 % (7588)Termination reason: Unknown
% 0.30/1.58 % (7588)Termination phase: Property scanning
% 0.30/1.58
% 0.30/1.58 % (7588)Memory used [KB]: 1151
% 0.30/1.58 % (7588)Time elapsed: 0.005 s
% 0.30/1.58 % (7588)Instructions burned: 7 (million)
% 0.30/1.58 % (7588)------------------------------
% 0.30/1.58 % (7588)------------------------------
% 0.30/1.58 % (7589)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/16Mi)
% 0.30/1.58 % (7590)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_7478 for (2999ds/3Mi)
% 0.30/1.58 % (7590)Instruction limit reached!
% 0.30/1.58 % (7590)------------------------------
% 0.30/1.58 % (7590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.58 % (7590)Termination reason: Unknown
% 0.30/1.58 % (7590)Termination phase: shuffling
% 0.30/1.58
% 0.30/1.58 % (7590)Memory used [KB]: 1023
% 0.30/1.58 % (7590)Time elapsed: 0.003 s
% 0.30/1.58 % (7590)Instructions burned: 4 (million)
% 0.30/1.58 % (7590)------------------------------
% 0.30/1.58 % (7590)------------------------------
% 0.30/1.59 % (7589)Instruction limit reached!
% 0.30/1.59 % (7589)------------------------------
% 0.30/1.59 % (7589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.59 % (7589)Termination reason: Unknown
% 0.30/1.59 % (7589)Termination phase: Twee Goal Transformation
% 0.30/1.59
% 0.30/1.59 % (7589)Memory used [KB]: 1279
% 0.30/1.59 % (7589)Time elapsed: 0.009 s
% 0.30/1.59 % (7589)Instructions burned: 16 (million)
% 0.30/1.59 % (7589)------------------------------
% 0.30/1.59 % (7589)------------------------------
% 0.30/1.59 % (7591)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_7478 for (2999ds/3Mi)
% 0.30/1.59 % (7591)Instruction limit reached!
% 0.30/1.59 % (7591)------------------------------
% 0.30/1.59 % (7591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.30/1.59 % (7591)Termination reason: Unknown
% 0.30/1.59 % (7591)Termination phase: shuffling
% 0.30/1.59
% 0.30/1.59 % (7591)Memory used [KB]: 1023
% 0.30/1.59 % (7591)Time elapsed: 0.003 s
% 0.30/1.59 % (7591)Instructions burned: 3 (million)
% 0.30/1.59 % (7591)------------------------------
% 0.30/1.59 % (7591)------------------------------
% 0.30/1.59 % (7592)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/7Mi)
% 2.05/1.60 % (7592)Instruction limit reached!
% 2.05/1.60 % (7592)------------------------------
% 2.05/1.60 % (7592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.60 % (7592)Termination reason: Unknown
% 2.05/1.60 % (7592)Termination phase: Property scanning
% 2.05/1.60
% 2.05/1.60 % (7592)Memory used [KB]: 1151
% 2.05/1.60 % (7592)Time elapsed: 0.005 s
% 2.05/1.60 % (7592)Instructions burned: 8 (million)
% 2.05/1.60 % (7592)------------------------------
% 2.05/1.60 % (7592)------------------------------
% 2.05/1.60 % (7593)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/3Mi)
% 2.05/1.60 % (7593)Instruction limit reached!
% 2.05/1.60 % (7593)------------------------------
% 2.05/1.60 % (7593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.60 % (7593)Termination reason: Unknown
% 2.05/1.60 % (7593)Termination phase: shuffling
% 2.05/1.60
% 2.05/1.60 % (7593)Memory used [KB]: 1023
% 2.05/1.60 % (7593)Time elapsed: 0.003 s
% 2.05/1.60 % (7593)Instructions burned: 4 (million)
% 2.05/1.60 % (7593)------------------------------
% 2.05/1.60 % (7593)------------------------------
% 2.05/1.61 % (7594)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/4Mi)
% 2.05/1.61 % (7595)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/18Mi)
% 2.05/1.61 % (7594)Instruction limit reached!
% 2.05/1.61 % (7594)------------------------------
% 2.05/1.61 % (7594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.61 % (7594)Termination reason: Unknown
% 2.05/1.61 % (7594)Termination phase: shuffling
% 2.05/1.61
% 2.05/1.61 % (7594)Memory used [KB]: 1151
% 2.05/1.61 % (7594)Time elapsed: 0.004 s
% 2.05/1.61 % (7594)Instructions burned: 5 (million)
% 2.05/1.61 % (7594)------------------------------
% 2.05/1.61 % (7594)------------------------------
% 2.05/1.61 % (7596)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/710Mi)
% 2.05/1.62 % (7595)Instruction limit reached!
% 2.05/1.62 % (7595)------------------------------
% 2.05/1.62 % (7595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.62 % (7595)Termination reason: Unknown
% 2.05/1.62 % (7595)Termination phase: Saturation
% 2.05/1.62
% 2.05/1.62 % (7595)Memory used [KB]: 5756
% 2.05/1.62 % (7595)Time elapsed: 0.010 s
% 2.05/1.62 % (7595)Instructions burned: 18 (million)
% 2.05/1.62 % (7595)------------------------------
% 2.05/1.62 % (7595)------------------------------
% 2.05/1.62 % (7598)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/6Mi)
% 2.05/1.62 % (7598)Instruction limit reached!
% 2.05/1.62 % (7598)------------------------------
% 2.05/1.62 % (7598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.62 % (7598)Termination reason: Unknown
% 2.05/1.62 % (7598)Termination phase: shuffling
% 2.05/1.62
% 2.05/1.62 % (7598)Memory used [KB]: 1151
% 2.05/1.62 % (7598)Time elapsed: 0.004 s
% 2.05/1.62 % (7598)Instructions burned: 6 (million)
% 2.05/1.62 % (7598)------------------------------
% 2.05/1.62 % (7598)------------------------------
% 2.05/1.62 % (7599)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_7478 for (2999ds/902Mi)
% 2.05/1.63 % (7576)Instruction limit reached!
% 2.05/1.63 % (7576)------------------------------
% 2.05/1.63 % (7576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.63 % (7576)Termination reason: Unknown
% 2.05/1.63 % (7576)Termination phase: Saturation
% 2.05/1.63
% 2.05/1.63 % (7576)Memory used [KB]: 6780
% 2.05/1.63 % (7576)Time elapsed: 0.091 s
% 2.05/1.63 % (7576)Instructions burned: 183 (million)
% 2.05/1.63 % (7576)------------------------------
% 2.05/1.63 % (7576)------------------------------
% 2.05/1.63 % (7600)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_7478 for (2999ds/21Mi)
% 2.05/1.64 % (7601)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_7478 for (2999ds/5Mi)
% 2.05/1.64 % (7601)Instruction limit reached!
% 2.05/1.64 % (7601)------------------------------
% 2.05/1.64 % (7601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.64 % (7601)Termination reason: Unknown
% 2.05/1.64 % (7601)Termination phase: shuffling
% 2.05/1.64
% 2.05/1.64 % (7601)Memory used [KB]: 1151
% 2.05/1.64 % (7601)Time elapsed: 0.004 s
% 2.05/1.64 % (7601)Instructions burned: 6 (million)
% 2.05/1.64 % (7601)------------------------------
% 2.05/1.64 % (7601)------------------------------
% 2.05/1.64 % (7600)Instruction limit reached!
% 2.05/1.64 % (7600)------------------------------
% 2.05/1.64 % (7600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.64 % (7600)Termination reason: Unknown
% 2.05/1.64 % (7600)Termination phase: Property scanning
% 2.05/1.64
% 2.05/1.64 % (7600)Memory used [KB]: 1151
% 2.05/1.64 % (7600)Time elapsed: 0.011 s
% 2.05/1.64 % (7600)Instructions burned: 21 (million)
% 2.05/1.64 % (7600)------------------------------
% 2.05/1.64 % (7600)------------------------------
% 2.05/1.64 % (7599)Refutation not found, incomplete strategy
% 2.05/1.64 % (7599)------------------------------
% 2.05/1.64 % (7599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.64 % (7599)Termination reason: Refutation not found, incomplete strategy
% 2.05/1.64
% 2.05/1.64
% 2.05/1.64 % (7599)Memory used [KB]: 6140
% 2.05/1.64 % (7599)Time elapsed: 0.021 s
% 2.05/1.64 % (7599)Instructions burned: 40 (million)
% 2.05/1.64 % (7599)------------------------------
% 2.05/1.64 % (7599)------------------------------
% 2.05/1.65 % (7602)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_7478 for (2999ds/6Mi)
% 2.05/1.65 % (7602)Instruction limit reached!
% 2.05/1.65 % (7602)------------------------------
% 2.05/1.65 % (7602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.65 % (7602)Termination reason: Unknown
% 2.05/1.65 % (7602)Termination phase: Property scanning
% 2.05/1.65
% 2.05/1.65 % (7602)Memory used [KB]: 1151
% 2.05/1.65 % (7602)Time elapsed: 0.005 s
% 2.05/1.65 % (7602)Instructions burned: 7 (million)
% 2.05/1.65 % (7602)------------------------------
% 2.05/1.65 % (7602)------------------------------
% 2.05/1.66 % (7603)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_7478 for (2998ds/377Mi)
% 2.05/1.66 % (7604)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_7478 for (2998ds/779Mi)
% 2.05/1.66 % (7605)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_7478 for (2998ds/19Mi)
% 2.05/1.67 % (7606)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_7478 for (2998ds/879Mi)
% 2.05/1.67 % (7605)Instruction limit reached!
% 2.05/1.67 % (7605)------------------------------
% 2.05/1.67 % (7605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.67 % (7605)Termination reason: Unknown
% 2.05/1.67 % (7605)Termination phase: Property scanning
% 2.05/1.67
% 2.05/1.67 % (7605)Memory used [KB]: 1151
% 2.05/1.67 % (7605)Time elapsed: 0.010 s
% 2.05/1.67 % (7605)Instructions burned: 20 (million)
% 2.05/1.67 % (7605)------------------------------
% 2.05/1.67 % (7605)------------------------------
% 2.05/1.68 % (7581)Instruction limit reached!
% 2.05/1.68 % (7581)------------------------------
% 2.05/1.68 % (7581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.68 % (7581)Termination reason: Unknown
% 2.05/1.68 % (7581)Termination phase: Saturation
% 2.05/1.68
% 2.05/1.68 % (7581)Memory used [KB]: 6908
% 2.05/1.68 % (7581)Time elapsed: 0.140 s
% 2.05/1.68 % (7581)Instructions burned: 276 (million)
% 2.05/1.68 % (7581)------------------------------
% 2.05/1.68 % (7581)------------------------------
% 2.05/1.69 % (7607)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_7478 for (2998ds/17Mi)
% 2.05/1.69 % (7607)Instruction limit reached!
% 2.05/1.69 % (7607)------------------------------
% 2.05/1.69 % (7607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.69 % (7607)Termination reason: Unknown
% 2.05/1.69 % (7607)Termination phase: Saturation
% 2.05/1.69
% 2.05/1.69 % (7607)Memory used [KB]: 5628
% 2.05/1.69 % (7607)Time elapsed: 0.010 s
% 2.05/1.69 % (7607)Instructions burned: 18 (million)
% 2.05/1.69 % (7607)------------------------------
% 2.05/1.69 % (7607)------------------------------
% 2.05/1.69 % (7608)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_7478 for (2998ds/3Mi)
% 2.05/1.70 % (7608)Instruction limit reached!
% 2.05/1.70 % (7608)------------------------------
% 2.05/1.70 % (7608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.70 % (7608)Termination reason: Unknown
% 2.05/1.70 % (7608)Termination phase: shuffling
% 2.05/1.70
% 2.05/1.70 % (7608)Memory used [KB]: 1151
% 2.05/1.70 % (7608)Time elapsed: 0.004 s
% 2.05/1.70 % (7608)Instructions burned: 5 (million)
% 2.05/1.70 % (7608)------------------------------
% 2.05/1.70 % (7608)------------------------------
% 2.05/1.71 % (7609)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_7478 for (2998ds/30Mi)
% 2.05/1.71 % (7610)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_7478 for (2998ds/127Mi)
% 2.05/1.73 % (7609)Instruction limit reached!
% 2.05/1.73 % (7609)------------------------------
% 2.05/1.73 % (7609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.73 % (7609)Termination reason: Unknown
% 2.05/1.73 % (7609)Termination phase: Saturation
% 2.05/1.73
% 2.05/1.73 % (7609)Memory used [KB]: 5756
% 2.05/1.73 % (7609)Time elapsed: 0.017 s
% 2.05/1.73 % (7609)Instructions burned: 31 (million)
% 2.05/1.73 % (7609)------------------------------
% 2.05/1.73 % (7609)------------------------------
% 2.05/1.74 % (7611)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_7478 for (2998ds/100Mi)
% 2.05/1.77 % (7610)Instruction limit reached!
% 2.05/1.77 % (7610)------------------------------
% 2.05/1.77 % (7610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.77 % (7610)Termination reason: Unknown
% 2.05/1.77 % (7610)Termination phase: Saturation
% 2.05/1.77
% 2.05/1.77 % (7610)Memory used [KB]: 6268
% 2.05/1.77 % (7610)Time elapsed: 0.063 s
% 2.05/1.77 % (7610)Instructions burned: 128 (million)
% 2.05/1.77 % (7610)------------------------------
% 2.05/1.77 % (7610)------------------------------
% 2.05/1.79 % (7611)Instruction limit reached!
% 2.05/1.79 % (7611)------------------------------
% 2.05/1.79 % (7611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.79 % (7611)Termination reason: Unknown
% 2.05/1.79 % (7611)Termination phase: Saturation
% 2.05/1.79
% 2.05/1.79 % (7611)Memory used [KB]: 6012
% 2.05/1.79 % (7611)Time elapsed: 0.047 s
% 2.05/1.79 % (7611)Instructions burned: 100 (million)
% 2.05/1.79 % (7611)------------------------------
% 2.05/1.79 % (7611)------------------------------
% 2.05/1.79 % (7612)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_7478 for (2997ds/3Mi)
% 2.05/1.79 % (7612)Instruction limit reached!
% 2.05/1.79 % (7612)------------------------------
% 2.05/1.79 % (7612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.79 % (7612)Termination reason: Unknown
% 2.05/1.79 % (7612)Termination phase: shuffling
% 2.05/1.79
% 2.05/1.79 % (7612)Memory used [KB]: 1023
% 2.05/1.79 % (7612)Time elapsed: 0.003 s
% 2.05/1.79 % (7612)Instructions burned: 4 (million)
% 2.05/1.79 % (7612)------------------------------
% 2.05/1.79 % (7612)------------------------------
% 2.05/1.81 % (7613)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_7478 for (2997ds/20Mi)
% 2.05/1.81 % (7614)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_7478 for (2997ds/86Mi)
% 2.05/1.82 % (7613)Instruction limit reached!
% 2.05/1.82 % (7613)------------------------------
% 2.05/1.82 % (7613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.82 % (7613)Termination reason: Unknown
% 2.05/1.82 % (7613)Termination phase: Function definition elimination
% 2.05/1.82
% 2.05/1.82 % (7613)Memory used [KB]: 1407
% 2.05/1.82 % (7613)Time elapsed: 0.012 s
% 2.05/1.82 % (7613)Instructions burned: 22 (million)
% 2.05/1.82 % (7613)------------------------------
% 2.05/1.82 % (7613)------------------------------
% 2.05/1.83 % (7615)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_7478 for (2997ds/107Mi)
% 2.05/1.84 % (7603)Instruction limit reached!
% 2.05/1.84 % (7603)------------------------------
% 2.05/1.84 % (7603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.84 % (7603)Termination reason: Unknown
% 2.05/1.84 % (7603)Termination phase: Saturation
% 2.05/1.84
% 2.05/1.84 % (7603)Memory used [KB]: 6780
% 2.05/1.84 % (7603)Time elapsed: 0.187 s
% 2.05/1.84 % (7603)Instructions burned: 377 (million)
% 2.05/1.84 % (7603)------------------------------
% 2.05/1.84 % (7603)------------------------------
% 2.05/1.85 % (7614)Instruction limit reached!
% 2.05/1.85 % (7614)------------------------------
% 2.05/1.85 % (7614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.85 % (7614)Termination reason: Unknown
% 2.05/1.85 % (7614)Termination phase: Saturation
% 2.05/1.85
% 2.05/1.85 % (7614)Memory used [KB]: 6268
% 2.05/1.85 % (7614)Time elapsed: 0.065 s
% 2.05/1.85 % (7614)Instructions burned: 86 (million)
% 2.05/1.85 % (7614)------------------------------
% 2.05/1.85 % (7614)------------------------------
% 2.05/1.86 % (7616)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_7478 for (2996ds/39Mi)
% 2.05/1.87 % (7617)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_7478 for (2996ds/448Mi)
% 2.05/1.87 % (7616)Instruction limit reached!
% 2.05/1.87 % (7616)------------------------------
% 2.05/1.87 % (7616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.87 % (7616)Termination reason: Unknown
% 2.05/1.87 % (7616)Termination phase: Saturation
% 2.05/1.87
% 2.05/1.87 % (7616)Memory used [KB]: 6012
% 2.05/1.87 % (7616)Time elapsed: 0.019 s
% 2.05/1.87 % (7616)Instructions burned: 39 (million)
% 2.05/1.87 % (7616)------------------------------
% 2.05/1.87 % (7616)------------------------------
% 2.05/1.88 % (7615)Instruction limit reached!
% 2.05/1.88 % (7615)------------------------------
% 2.05/1.88 % (7615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.88 % (7615)Termination reason: Unknown
% 2.05/1.88 % (7615)Termination phase: Saturation
% 2.05/1.88
% 2.05/1.88 % (7615)Memory used [KB]: 6140
% 2.05/1.88 % (7615)Time elapsed: 0.054 s
% 2.05/1.88 % (7615)Instructions burned: 107 (million)
% 2.05/1.88 % (7615)------------------------------
% 2.05/1.88 % (7615)------------------------------
% 2.05/1.89 % (7618)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_7478 for (2996ds/46Mi)
% 2.05/1.90 % (7619)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_7478 for (2996ds/98Mi)
% 2.05/1.91 % (7618)Instruction limit reached!
% 2.05/1.91 % (7618)------------------------------
% 2.05/1.91 % (7618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.91 % (7618)Termination reason: Unknown
% 2.05/1.91 % (7618)Termination phase: Saturation
% 2.05/1.91
% 2.05/1.91 % (7618)Memory used [KB]: 5756
% 2.05/1.91 % (7618)Time elapsed: 0.023 s
% 2.05/1.91 % (7618)Instructions burned: 47 (million)
% 2.05/1.91 % (7618)------------------------------
% 2.05/1.91 % (7618)------------------------------
% 2.05/1.93 % (7620)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_7478 for (2996ds/507Mi)
% 2.05/1.95 % (7619)Instruction limit reached!
% 2.05/1.95 % (7619)------------------------------
% 2.05/1.95 % (7619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.95 % (7619)Termination reason: Unknown
% 2.05/1.95 % (7619)Termination phase: Saturation
% 2.05/1.95
% 2.05/1.95 % (7619)Memory used [KB]: 1407
% 2.05/1.95 % (7619)Time elapsed: 0.045 s
% 2.05/1.95 % (7619)Instructions burned: 98 (million)
% 2.05/1.95 % (7619)------------------------------
% 2.05/1.95 % (7619)------------------------------
% 2.05/1.96 % (7621)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_7478 for (2995ds/149Mi)
% 2.05/1.97 % (7596)Instruction limit reached!
% 2.05/1.97 % (7596)------------------------------
% 2.05/1.97 % (7596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/1.97 % (7596)Termination reason: Unknown
% 2.05/1.97 % (7596)Termination phase: Saturation
% 2.05/1.97
% 2.05/1.97 % (7596)Memory used [KB]: 7931
% 2.05/1.97 % (7596)Time elapsed: 0.362 s
% 2.05/1.97 % (7596)Instructions burned: 710 (million)
% 2.05/1.97 % (7596)------------------------------
% 2.05/1.97 % (7596)------------------------------
% 2.05/1.99 % (7622)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_7478 for (2995ds/39Mi)
% 2.05/2.01 % (7622)Instruction limit reached!
% 2.05/2.01 % (7622)------------------------------
% 2.05/2.01 % (7622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.05/2.01 % (7622)Termination reason: Unknown
% 2.05/2.01 % (7622)Termination phase: Saturation
% 2.05/2.01
% 2.05/2.01 % (7622)Memory used [KB]: 5884
% 2.05/2.01 % (7622)Time elapsed: 0.020 s
% 2.05/2.01 % (7622)Instructions burned: 39 (million)
% 2.05/2.01 % (7622)------------------------------
% 2.05/2.01 % (7622)------------------------------
% 5.46/2.03 % (7623)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_7478 for (2995ds/6Mi)
% 5.46/2.03 % (7623)Instruction limit reached!
% 5.46/2.03 % (7623)------------------------------
% 5.46/2.03 % (7623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.03 % (7623)Termination reason: Unknown
% 5.46/2.03 % (7623)Termination phase: Property scanning
% 5.46/2.03
% 5.46/2.03 % (7623)Memory used [KB]: 1151
% 5.46/2.03 % (7623)Time elapsed: 0.005 s
% 5.46/2.03 % (7623)Instructions burned: 7 (million)
% 5.46/2.03 % (7623)------------------------------
% 5.46/2.03 % (7623)------------------------------
% 5.46/2.03 % (7604)Instruction limit reached!
% 5.46/2.03 % (7604)------------------------------
% 5.46/2.03 % (7604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.03 % (7604)Termination reason: Unknown
% 5.46/2.03 % (7604)Termination phase: Saturation
% 5.46/2.03
% 5.46/2.03 % (7604)Memory used [KB]: 7419
% 5.46/2.03 % (7604)Time elapsed: 0.376 s
% 5.46/2.03 % (7604)Instructions burned: 780 (million)
% 5.46/2.03 % (7604)------------------------------
% 5.46/2.03 % (7604)------------------------------
% 5.46/2.04 % (7621)Instruction limit reached!
% 5.46/2.04 % (7621)------------------------------
% 5.46/2.04 % (7621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.04 % (7621)Termination reason: Unknown
% 5.46/2.04 % (7621)Termination phase: Saturation
% 5.46/2.04
% 5.46/2.04 % (7621)Memory used [KB]: 6140
% 5.46/2.04 % (7621)Time elapsed: 0.076 s
% 5.46/2.04 % (7621)Instructions burned: 149 (million)
% 5.46/2.04 % (7621)------------------------------
% 5.46/2.04 % (7621)------------------------------
% 5.46/2.04 % (7617)Instruction limit reached!
% 5.46/2.04 % (7617)------------------------------
% 5.46/2.04 % (7617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.04 % (7617)Termination reason: Unknown
% 5.46/2.04 % (7617)Termination phase: Saturation
% 5.46/2.04
% 5.46/2.04 % (7617)Memory used [KB]: 6012
% 5.46/2.04 % (7617)Time elapsed: 0.176 s
% 5.46/2.04 % (7617)Instructions burned: 449 (million)
% 5.46/2.04 % (7617)------------------------------
% 5.46/2.04 % (7617)------------------------------
% 5.46/2.05 % (7587)Instruction limit reached!
% 5.46/2.05 % (7587)------------------------------
% 5.46/2.05 % (7587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.05 % (7587)Termination reason: Unknown
% 5.46/2.05 % (7587)Termination phase: Saturation
% 5.46/2.05
% 5.46/2.05 % (7587)Memory used [KB]: 8443
% 5.46/2.05 % (7587)Time elapsed: 0.479 s
% 5.46/2.05 % (7587)Instructions burned: 1042 (million)
% 5.46/2.05 % (7587)------------------------------
% 5.46/2.05 % (7587)------------------------------
% 5.46/2.05 % (7624)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_7478 for (2994ds/1087Mi)
% 5.46/2.05 % (7625)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_7478 for (2994ds/47Mi)
% 5.46/2.05 % (7626)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_7478 for (2994ds/44Mi)
% 5.46/2.06 % (7627)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_7478 for (2994ds/432Mi)
% 5.46/2.06 % (7628)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_7478 for (2994ds/62Mi)
% 5.46/2.07 % (7625)Instruction limit reached!
% 5.46/2.07 % (7625)------------------------------
% 5.46/2.07 % (7625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.07 % (7625)Termination reason: Unknown
% 5.46/2.07 % (7625)Termination phase: Saturation
% 5.46/2.07
% 5.46/2.07 % (7625)Memory used [KB]: 5884
% 5.46/2.07 % (7625)Time elapsed: 0.023 s
% 5.46/2.07 % (7625)Instructions burned: 47 (million)
% 5.46/2.07 % (7625)------------------------------
% 5.46/2.07 % (7625)------------------------------
% 5.46/2.07 % (7626)Instruction limit reached!
% 5.46/2.07 % (7626)------------------------------
% 5.46/2.07 % (7626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.07 % (7626)Termination reason: Unknown
% 5.46/2.07 % (7626)Termination phase: Saturation
% 5.46/2.07
% 5.46/2.07 % (7626)Memory used [KB]: 1279
% 5.46/2.07 % (7626)Time elapsed: 0.021 s
% 5.46/2.07 % (7626)Instructions burned: 44 (million)
% 5.46/2.07 % (7626)------------------------------
% 5.46/2.07 % (7626)------------------------------
% 5.46/2.09 % (7628)Instruction limit reached!
% 5.46/2.09 % (7628)------------------------------
% 5.46/2.09 % (7628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.09 % (7628)Termination reason: Unknown
% 5.46/2.09 % (7628)Termination phase: Saturation
% 5.46/2.09
% 5.46/2.09 % (7628)Memory used [KB]: 6140
% 5.46/2.09 % (7628)Time elapsed: 0.028 s
% 5.46/2.09 % (7628)Instructions burned: 63 (million)
% 5.46/2.09 % (7628)------------------------------
% 5.46/2.09 % (7628)------------------------------
% 5.46/2.09 % (7630)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_7478 for (2994ds/96Mi)
% 5.46/2.09 % (7629)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_7478 for (2994ds/31Mi)
% 5.46/2.10 % (7606)Instruction limit reached!
% 5.46/2.10 % (7606)------------------------------
% 5.46/2.10 % (7606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.10 % (7606)Termination reason: Unknown
% 5.46/2.10 % (7606)Termination phase: Saturation
% 5.46/2.10
% 5.46/2.10 % (7606)Memory used [KB]: 7675
% 5.46/2.10 % (7606)Time elapsed: 0.438 s
% 5.46/2.10 % (7606)Instructions burned: 880 (million)
% 5.46/2.10 % (7606)------------------------------
% 5.46/2.10 % (7606)------------------------------
% 5.46/2.10 % (7629)Instruction limit reached!
% 5.46/2.10 % (7629)------------------------------
% 5.46/2.10 % (7629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.46/2.10 % (7629)Termination reason: Unknown
% 5.46/2.10 % (7629)Termination phase: Saturation
% 5.46/2.10
% 5.46/2.10 % (7629)Memory used [KB]: 5756
% 5.46/2.10 % (7629)Time elapsed: 0.016 s
% 5.46/2.10 % (7629)Instructions burned: 32 (million)
% 5.46/2.10 % (7629)------------------------------
% 5.46/2.10 % (7629)------------------------------
% 5.46/2.11 % (7631)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_7478 for (2994ds/453Mi)
% 5.46/2.12 % (7632)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_7478 for (2994ds/71Mi)
% 5.46/2.12 % (7633)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_7478 for (2994ds/83Mi)
% 5.93/2.14 % (7630)Instruction limit reached!
% 5.93/2.14 % (7630)------------------------------
% 5.93/2.14 % (7630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.93/2.14 % (7630)Termination reason: Unknown
% 5.93/2.14 % (7630)Termination phase: Saturation
% 5.93/2.14
% 5.93/2.14 % (7630)Memory used [KB]: 6140
% 5.93/2.14 % (7630)Time elapsed: 0.050 s
% 5.93/2.14 % (7630)Instructions burned: 98 (million)
% 5.93/2.14 % (7630)------------------------------
% 5.93/2.14 % (7630)------------------------------
% 5.93/2.15 % (7632)Instruction limit reached!
% 5.93/2.15 % (7632)------------------------------
% 5.93/2.15 % (7632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.93/2.15 % (7632)Termination reason: Unknown
% 5.93/2.15 % (7632)Termination phase: Saturation
% 5.93/2.15
% 5.93/2.15 % (7632)Memory used [KB]: 6012
% 5.93/2.15 % (7632)Time elapsed: 0.037 s
% 5.93/2.15 % (7632)Instructions burned: 72 (million)
% 5.93/2.15 % (7632)------------------------------
% 5.93/2.15 % (7632)------------------------------
% 5.93/2.15 % (7634)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_7478 for (2993ds/11Mi)
% 5.93/2.16 % (7634)Instruction limit reached!
% 5.93/2.16 % (7634)------------------------------
% 5.93/2.16 % (7634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.93/2.16 % (7634)Termination reason: Unknown
% 5.93/2.16 % (7634)Termination phase: Property scanning
% 5.93/2.16
% 5.93/2.16 % (7634)Memory used [KB]: 1151
% 5.93/2.16 % (7634)Time elapsed: 0.008 s
% 5.93/2.16 % (7634)Instructions burned: 12 (million)
% 5.93/2.16 % (7634)------------------------------
% 5.93/2.16 % (7634)------------------------------
% 5.93/2.16 % (7633)Instruction limit reached!
% 5.93/2.16 % (7633)------------------------------
% 5.93/2.16 % (7633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.93/2.16 % (7633)Termination reason: Unknown
% 5.93/2.16 % (7633)Termination phase: Saturation
% 5.93/2.16
% 5.93/2.16 % (7633)Memory used [KB]: 6140
% 5.93/2.16 % (7633)Time elapsed: 0.042 s
% 5.93/2.16 % (7633)Instructions burned: 83 (million)
% 5.93/2.16 % (7633)------------------------------
% 5.93/2.16 % (7633)------------------------------
% 5.93/2.17 % (7635)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_7478 for (2993ds/41Mi)
% 5.93/2.18 % (7636)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7478 for (2993ds/6Mi)
% 5.93/2.18 % (7637)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_7478 for (2993ds/150Mi)
% 5.93/2.18 % (7636)Instruction limit reached!
% 5.93/2.18 % (7636)------------------------------
% 5.93/2.18 % (7636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.93/2.18 % (7636)Termination reason: Unknown
% 5.93/2.18 % (7636)Termination phase: shuffling
% 5.93/2.18
% 5.93/2.18 % (7636)Memory used [KB]: 1151
% 5.93/2.18 % (7636)Time elapsed: 0.005 s
% 5.93/2.18 % (7636)Instructions burned: 6 (million)
% 5.93/2.18 % (7636)------------------------------
% 5.93/2.18 % (7636)------------------------------
% 5.93/2.18 % (7620)Instruction limit reached!
% 5.93/2.18 % (7620)------------------------------
% 5.93/2.18 % (7620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.93/2.18 % (7620)Termination reason: Unknown
% 5.93/2.18 % (7620)Termination phase: Saturation
% 5.93/2.18
% 5.93/2.18 % (7620)Memory used [KB]: 6908
% 5.93/2.18 % (7620)Time elapsed: 0.254 s
% 5.93/2.18 % (7620)Instructions burned: 508 (million)
% 5.93/2.18 % (7620)------------------------------
% 5.93/2.18 % (7620)------------------------------
% 5.93/2.19 % (7635)Instruction limit reached!
% 5.93/2.19 % (7635)------------------------------
% 5.93/2.19 % (7635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.93/2.19 % (7635)Termination reason: Unknown
% 5.93/2.19 % (7635)Termination phase: Saturation
% 5.93/2.19
% 5.93/2.19 % (7635)Memory used [KB]: 6012
% 5.93/2.19 % (7635)Time elapsed: 0.020 s
% 5.93/2.19 % (7635)Instructions burned: 43 (million)
% 5.93/2.19 % (7635)------------------------------
% 5.93/2.19 % (7635)------------------------------
% 6.24/2.20 % (7638)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_7478 for (2993ds/343Mi)
% 6.24/2.20 % (7639)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_7478 for (2993ds/109Mi)
% 6.24/2.21 % (7640)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_7478 for (2993ds/253Mi)
% 6.24/2.24 % (7627)Instruction limit reached!
% 6.24/2.24 % (7627)------------------------------
% 6.24/2.24 % (7627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.24 % (7627)Termination reason: Unknown
% 6.24/2.24 % (7627)Termination phase: Saturation
% 6.24/2.24
% 6.24/2.24 % (7627)Memory used [KB]: 1791
% 6.24/2.24 % (7627)Time elapsed: 0.179 s
% 6.24/2.24 % (7627)Instructions burned: 434 (million)
% 6.24/2.24 % (7627)------------------------------
% 6.24/2.24 % (7627)------------------------------
% 6.24/2.25 % (7639)Instruction limit reached!
% 6.24/2.25 % (7639)------------------------------
% 6.24/2.25 % (7639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.25 % (7639)Termination reason: Unknown
% 6.24/2.25 % (7639)Termination phase: Saturation
% 6.24/2.25
% 6.24/2.25 % (7639)Memory used [KB]: 6268
% 6.24/2.25 % (7639)Time elapsed: 0.055 s
% 6.24/2.25 % (7639)Instructions burned: 111 (million)
% 6.24/2.25 % (7639)------------------------------
% 6.24/2.25 % (7639)------------------------------
% 6.24/2.25 % (7637)Instruction limit reached!
% 6.24/2.25 % (7637)------------------------------
% 6.24/2.25 % (7637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.25 % (7637)Termination reason: Unknown
% 6.24/2.25 % (7637)Termination phase: Saturation
% 6.24/2.25
% 6.24/2.25 % (7637)Memory used [KB]: 6524
% 6.24/2.25 % (7637)Time elapsed: 0.077 s
% 6.24/2.25 % (7637)Instructions burned: 150 (million)
% 6.24/2.25 % (7637)------------------------------
% 6.24/2.25 % (7637)------------------------------
% 6.24/2.25 % (7641)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_7478 for (2992ds/140Mi)
% 6.24/2.27 % (7642)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_7478 for (2992ds/614Mi)
% 6.24/2.27 % (7643)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_7478 for (2992ds/202Mi)
% 6.24/2.27 % (7641)Refutation not found, incomplete strategy
% 6.24/2.27 % (7641)------------------------------
% 6.24/2.27 % (7641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.27 % (7641)Termination reason: Refutation not found, incomplete strategy
% 6.24/2.27
% 6.24/2.27
% 6.24/2.27 % (7641)Memory used [KB]: 5756
% 6.24/2.27 % (7641)Time elapsed: 0.018 s
% 6.24/2.27 % (7641)Instructions burned: 33 (million)
% 6.24/2.27 % (7641)------------------------------
% 6.24/2.27 % (7641)------------------------------
% 6.24/2.29 % (7644)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_7478 for (2992ds/339Mi)
% 6.63/2.32 % (7631)Instruction limit reached!
% 6.63/2.32 % (7631)------------------------------
% 6.63/2.32 % (7631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.63/2.32 % (7631)Termination reason: Unknown
% 6.63/2.32 % (7631)Termination phase: Saturation
% 6.63/2.32
% 6.63/2.32 % (7631)Memory used [KB]: 6396
% 6.63/2.32 % (7631)Time elapsed: 0.220 s
% 6.63/2.32 % (7631)Instructions burned: 453 (million)
% 6.63/2.32 % (7631)------------------------------
% 6.63/2.32 % (7631)------------------------------
% 6.63/2.33 % (7640)Instruction limit reached!
% 6.63/2.33 % (7640)------------------------------
% 6.63/2.33 % (7640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.63/2.33 % (7640)Termination reason: Unknown
% 6.63/2.33 % (7640)Termination phase: Saturation
% 6.63/2.33
% 6.63/2.33 % (7640)Memory used [KB]: 6908
% 6.63/2.33 % (7640)Time elapsed: 0.127 s
% 6.63/2.33 % (7640)Instructions burned: 254 (million)
% 6.63/2.33 % (7640)------------------------------
% 6.63/2.33 % (7640)------------------------------
% 6.63/2.34 % (7645)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_7478 for (2992ds/283Mi)
% 6.63/2.35 % (7646)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_7478 for (2992ds/134Mi)
% 6.63/2.37 % (7638)Instruction limit reached!
% 6.63/2.37 % (7638)------------------------------
% 6.63/2.37 % (7638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.63/2.37 % (7638)Termination reason: Unknown
% 6.63/2.37 % (7638)Termination phase: Saturation
% 6.63/2.37
% 6.63/2.37 % (7638)Memory used [KB]: 6908
% 6.63/2.37 % (7638)Time elapsed: 0.173 s
% 6.63/2.37 % (7638)Instructions burned: 344 (million)
% 6.63/2.37 % (7638)------------------------------
% 6.63/2.37 % (7638)------------------------------
% 6.63/2.37 % (7643)Instruction limit reached!
% 6.63/2.37 % (7643)------------------------------
% 6.63/2.37 % (7643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.63/2.37 % (7643)Termination reason: Unknown
% 6.63/2.37 % (7643)Termination phase: Saturation
% 6.63/2.37
% 6.63/2.37 % (7643)Memory used [KB]: 6780
% 6.63/2.37 % (7643)Time elapsed: 0.102 s
% 6.63/2.37 % (7643)Instructions burned: 202 (million)
% 6.63/2.37 % (7643)------------------------------
% 6.63/2.37 % (7643)------------------------------
% 6.63/2.38 % (7647)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_7478 for (2991ds/298Mi)
% 6.63/2.39 % (7648)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_7478 for (2991ds/192Mi)
% 7.31/2.41 % (7646)Instruction limit reached!
% 7.31/2.41 % (7646)------------------------------
% 7.31/2.41 % (7646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.31/2.41 % (7646)Termination reason: Unknown
% 7.31/2.41 % (7646)Termination phase: Saturation
% 7.31/2.41
% 7.31/2.41 % (7646)Memory used [KB]: 6396
% 7.31/2.41 % (7646)Time elapsed: 0.066 s
% 7.31/2.41 % (7646)Instructions burned: 134 (million)
% 7.31/2.41 % (7646)------------------------------
% 7.31/2.41 % (7646)------------------------------
% 7.31/2.43 % (7649)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_7478 for (2991ds/258Mi)
% 7.31/2.45 % (7644)Instruction limit reached!
% 7.31/2.45 % (7644)------------------------------
% 7.31/2.45 % (7644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.31/2.45 % (7644)Termination reason: Unknown
% 7.31/2.45 % (7644)Termination phase: Saturation
% 7.31/2.45
% 7.31/2.45 % (7644)Memory used [KB]: 7547
% 7.31/2.45 % (7644)Time elapsed: 0.163 s
% 7.31/2.45 % (7644)Instructions burned: 340 (million)
% 7.31/2.45 % (7644)------------------------------
% 7.31/2.45 % (7644)------------------------------
% 7.31/2.46 % (7645)Instruction limit reached!
% 7.31/2.46 % (7645)------------------------------
% 7.31/2.46 % (7645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.31/2.46 % (7645)Termination reason: Unknown
% 7.31/2.46 % (7645)Termination phase: Saturation
% 7.31/2.46
% 7.31/2.46 % (7645)Memory used [KB]: 6140
% 7.31/2.46 % (7645)Time elapsed: 0.123 s
% 7.31/2.46 % (7645)Instructions burned: 283 (million)
% 7.31/2.46 % (7645)------------------------------
% 7.31/2.46 % (7645)------------------------------
% 7.31/2.47 % (7650)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_7478 for (2990ds/90Mi)
% 7.31/2.48 % (7651)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_7478 for (2990ds/231Mi)
% 7.31/2.48 % (7648)Instruction limit reached!
% 7.31/2.48 % (7648)------------------------------
% 7.31/2.48 % (7648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.31/2.48 % (7648)Termination reason: Unknown
% 7.31/2.48 % (7648)Termination phase: Saturation
% 7.31/2.48
% 7.31/2.48 % (7648)Memory used [KB]: 6524
% 7.31/2.48 % (7648)Time elapsed: 0.097 s
% 7.31/2.48 % (7648)Instructions burned: 193 (million)
% 7.31/2.48 % (7648)------------------------------
% 7.31/2.48 % (7648)------------------------------
% 7.82/2.50 % (7652)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_7478 for (2990ds/458Mi)
% 7.82/2.50 % (7647)Instruction limit reached!
% 7.82/2.50 % (7647)------------------------------
% 7.82/2.50 % (7647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.82/2.50 % (7647)Termination reason: Unknown
% 7.82/2.50 % (7647)Termination phase: Saturation
% 7.82/2.50
% 7.82/2.50 % (7647)Memory used [KB]: 6012
% 7.82/2.50 % (7647)Time elapsed: 0.120 s
% 7.82/2.50 % (7647)Instructions burned: 299 (million)
% 7.82/2.50 % (7647)------------------------------
% 7.82/2.50 % (7647)------------------------------
% 7.82/2.51 % (7650)Instruction limit reached!
% 7.82/2.51 % (7650)------------------------------
% 7.82/2.51 % (7650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.82/2.51 % (7650)Termination reason: Unknown
% 7.82/2.51 % (7650)Termination phase: Saturation
% 7.82/2.51
% 7.82/2.51 % (7650)Memory used [KB]: 6140
% 7.82/2.51 % (7650)Time elapsed: 0.046 s
% 7.82/2.51 % (7650)Instructions burned: 90 (million)
% 7.82/2.51 % (7650)------------------------------
% 7.82/2.51 % (7650)------------------------------
% 7.82/2.52 % (7653)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_7478 for (2990ds/31Mi)
% 7.82/2.53 % (7654)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_7478 for (2990ds/297Mi)
% 7.82/2.53 % (7653)Instruction limit reached!
% 7.82/2.53 % (7653)------------------------------
% 7.82/2.53 % (7653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.82/2.53 % (7653)Termination reason: Unknown
% 7.82/2.53 % (7653)Termination phase: Saturation
% 7.82/2.53
% 7.82/2.53 % (7653)Memory used [KB]: 5756
% 7.82/2.53 % (7653)Time elapsed: 0.016 s
% 7.82/2.53 % (7653)Instructions burned: 31 (million)
% 7.82/2.53 % (7653)------------------------------
% 7.82/2.53 % (7653)------------------------------
% 7.82/2.55 % (7655)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_7478 for (2990ds/987Mi)
% 7.82/2.55 % (7649)Instruction limit reached!
% 7.82/2.55 % (7649)------------------------------
% 7.82/2.55 % (7649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.82/2.55 % (7649)Termination reason: Unknown
% 7.82/2.55 % (7649)Termination phase: Saturation
% 7.82/2.55
% 7.82/2.56 % (7649)Memory used [KB]: 6524
% 7.82/2.56 % (7649)Time elapsed: 0.128 s
% 7.82/2.56 % (7649)Instructions burned: 258 (million)
% 7.82/2.56 % (7649)------------------------------
% 7.82/2.56 % (7649)------------------------------
% 7.82/2.56 % (7642)Instruction limit reached!
% 7.82/2.56 % (7642)------------------------------
% 7.82/2.56 % (7642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.82/2.56 % (7642)Termination reason: Unknown
% 7.82/2.56 % (7642)Termination phase: Saturation
% 7.82/2.56
% 7.82/2.56 % (7642)Memory used [KB]: 7291
% 7.82/2.56 % (7642)Time elapsed: 0.298 s
% 7.82/2.56 % (7642)Instructions burned: 616 (million)
% 7.82/2.56 % (7642)------------------------------
% 7.82/2.56 % (7642)------------------------------
% 7.82/2.57 % (7656)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_7478 for (2989ds/182Mi)
% 7.82/2.58 % (7657)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_7478 for (2989ds/182Mi)
% 7.82/2.59 % (7624)Instruction limit reached!
% 7.82/2.59 % (7624)------------------------------
% 7.82/2.59 % (7624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.82/2.59 % (7624)Termination reason: Unknown
% 7.82/2.59 % (7624)Termination phase: Saturation
% 7.82/2.59
% 7.82/2.59 % (7624)Memory used [KB]: 8187
% 7.82/2.59 % (7624)Time elapsed: 0.548 s
% 7.82/2.59 % (7624)Instructions burned: 1088 (million)
% 7.82/2.59 % (7624)------------------------------
% 7.82/2.59 % (7624)------------------------------
% 9.07/2.61 % (7651)Instruction limit reached!
% 9.07/2.61 % (7651)------------------------------
% 9.07/2.61 % (7651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.07/2.61 % (7651)Termination reason: Unknown
% 9.07/2.61 % (7651)Termination phase: Saturation
% 9.07/2.61
% 9.07/2.61 % (7651)Memory used [KB]: 7419
% 9.07/2.61 % (7651)Time elapsed: 0.152 s
% 9.07/2.61 % (7651)Instructions burned: 232 (million)
% 9.07/2.61 % (7651)------------------------------
% 9.07/2.61 % (7651)------------------------------
% 9.07/2.61 % (7658)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_7478 for (2989ds/154Mi)
% 9.07/2.62 % (7659)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_7478 for (2989ds/79Mi)
% 9.07/2.65 % (7654)Instruction limit reached!
% 9.07/2.65 % (7654)------------------------------
% 9.07/2.65 % (7654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.07/2.65 % (7654)Termination reason: Unknown
% 9.07/2.65 % (7654)Termination phase: Saturation
% 9.07/2.65
% 9.07/2.65 % (7654)Memory used [KB]: 6140
% 9.07/2.65 % (7654)Time elapsed: 0.127 s
% 9.07/2.65 % (7654)Instructions burned: 298 (million)
% 9.07/2.65 % (7654)------------------------------
% 9.07/2.65 % (7654)------------------------------
% 9.07/2.66 % (7656)Instruction limit reached!
% 9.07/2.66 % (7656)------------------------------
% 9.07/2.66 % (7656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.07/2.66 % (7656)Termination reason: Unknown
% 9.07/2.66 % (7656)Termination phase: Saturation
% 9.07/2.66
% 9.07/2.66 % (7656)Memory used [KB]: 6652
% 9.07/2.66 % (7656)Time elapsed: 0.111 s
% 9.07/2.66 % (7656)Instructions burned: 183 (million)
% 9.07/2.66 % (7656)------------------------------
% 9.07/2.66 % (7656)------------------------------
% 9.07/2.66 % (7659)Instruction limit reached!
% 9.07/2.66 % (7659)------------------------------
% 9.07/2.66 % (7659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.07/2.66 % (7659)Termination reason: Unknown
% 9.07/2.66 % (7659)Termination phase: Saturation
% 9.07/2.66
% 9.07/2.66 % (7659)Memory used [KB]: 6140
% 9.07/2.66 % (7659)Time elapsed: 0.041 s
% 9.07/2.66 % (7659)Instructions burned: 80 (million)
% 9.07/2.66 % (7659)------------------------------
% 9.07/2.66 % (7659)------------------------------
% 9.07/2.67 % (7660)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_7478 for (2988ds/216Mi)
% 9.07/2.67 % (7657)Instruction limit reached!
% 9.07/2.67 % (7657)------------------------------
% 9.07/2.67 % (7657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.07/2.67 % (7657)Termination reason: Unknown
% 9.07/2.67 % (7657)Termination phase: Saturation
% 9.07/2.67
% 9.07/2.67 % (7657)Memory used [KB]: 7036
% 9.07/2.67 % (7657)Time elapsed: 0.120 s
% 9.07/2.67 % (7657)Instructions burned: 182 (million)
% 9.07/2.67 % (7657)------------------------------
% 9.07/2.67 % (7657)------------------------------
% 9.07/2.68 % (7661)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_7478 for (2988ds/114Mi)
% 9.07/2.68 % (7662)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_7478 for (2988ds/922Mi)
% 9.07/2.68 % (7658)Instruction limit reached!
% 9.07/2.68 % (7658)------------------------------
% 9.07/2.68 % (7658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.07/2.68 % (7658)Termination reason: Unknown
% 9.07/2.68 % (7658)Termination phase: Saturation
% 9.07/2.68
% 9.07/2.68 % (7658)Memory used [KB]: 6012
% 9.07/2.68 % (7658)Time elapsed: 0.097 s
% 9.07/2.68 % (7658)Instructions burned: 154 (million)
% 9.07/2.68 % (7658)------------------------------
% 9.07/2.68 % (7658)------------------------------
% 9.07/2.69 % (7663)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_7478 for (2988ds/182Mi)
% 9.71/2.70 % (7664)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_7478 for (2988ds/164Mi)
% 9.71/2.73 % (7652)Instruction limit reached!
% 9.71/2.73 % (7652)------------------------------
% 9.71/2.73 % (7652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.71/2.73 % (7652)Termination reason: Unknown
% 9.71/2.73 % (7652)Termination phase: Saturation
% 9.71/2.73
% 9.71/2.73 % (7652)Memory used [KB]: 7036
% 9.71/2.73 % (7652)Time elapsed: 0.252 s
% 9.71/2.73 % (7652)Instructions burned: 458 (million)
% 9.71/2.73 % (7652)------------------------------
% 9.71/2.73 % (7652)------------------------------
% 9.71/2.73 % (7661)Instruction limit reached!
% 9.71/2.73 % (7661)------------------------------
% 9.71/2.73 % (7661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.71/2.73 % (7661)Termination reason: Unknown
% 9.71/2.73 % (7661)Termination phase: Saturation
% 9.71/2.73
% 9.71/2.73 % (7661)Memory used [KB]: 6396
% 9.71/2.73 % (7661)Time elapsed: 0.056 s
% 9.71/2.73 % (7661)Instructions burned: 115 (million)
% 9.71/2.73 % (7661)------------------------------
% 9.71/2.73 % (7661)------------------------------
% 9.71/2.74 % (7665)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_7478 for (2987ds/50Mi)
% 9.71/2.75 % (7666)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_7478 for (2987ds/368Mi)
% 9.71/2.76 % (7660)Instruction limit reached!
% 9.71/2.76 % (7660)------------------------------
% 9.71/2.76 % (7660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.71/2.76 % (7660)Termination reason: Unknown
% 9.71/2.76 % (7660)Termination phase: Saturation
% 9.71/2.76
% 9.71/2.76 % (7660)Memory used [KB]: 6012
% 9.71/2.76 % (7660)Time elapsed: 0.090 s
% 9.71/2.76 % (7660)Instructions burned: 216 (million)
% 9.71/2.76 % (7660)------------------------------
% 9.71/2.76 % (7660)------------------------------
% 9.71/2.76 % (7664)Instruction limit reached!
% 9.71/2.76 % (7664)------------------------------
% 9.71/2.76 % (7664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.71/2.76 % (7664)Termination reason: Unknown
% 9.71/2.76 % (7664)Termination phase: Saturation
% 9.71/2.76
% 9.71/2.76 % (7664)Memory used [KB]: 1407
% 9.71/2.76 % (7664)Time elapsed: 0.062 s
% 9.71/2.76 % (7664)Instructions burned: 168 (million)
% 9.71/2.76 % (7664)------------------------------
% 9.71/2.76 % (7664)------------------------------
% 9.71/2.77 % (7665)Instruction limit reached!
% 9.71/2.77 % (7665)------------------------------
% 9.71/2.77 % (7665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.71/2.77 % (7665)Termination reason: Unknown
% 9.71/2.77 % (7665)Termination phase: Saturation
% 9.71/2.77
% 9.71/2.77 % (7665)Memory used [KB]: 10234
% 9.71/2.77 % (7665)Time elapsed: 0.024 s
% 9.71/2.77 % (7665)Instructions burned: 51 (million)
% 9.71/2.77 % (7665)------------------------------
% 9.71/2.77 % (7665)------------------------------
% 9.71/2.77 % (7663)Instruction limit reached!
% 9.71/2.77 % (7663)------------------------------
% 9.71/2.77 % (7663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.71/2.77 % (7663)Termination reason: Unknown
% 9.71/2.77 % (7663)Termination phase: Saturation
% 9.71/2.77
% 9.71/2.77 % (7663)Memory used [KB]: 6012
% 9.71/2.77 % (7663)Time elapsed: 0.081 s
% 9.71/2.77 % (7663)Instructions burned: 183 (million)
% 9.71/2.77 % (7663)------------------------------
% 9.71/2.77 % (7663)------------------------------
% 9.71/2.77 % (7668)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_7478 for (2987ds/267Mi)
% 9.71/2.77 % (7667)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_7478 for (2987ds/1021Mi)
% 9.71/2.78 % (7669)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_7478 for (2987ds/204Mi)
% 9.71/2.79 % (7670)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_7478 for (2987ds/26Mi)
% 10.35/2.80 % (7670)Instruction limit reached!
% 10.35/2.80 % (7670)------------------------------
% 10.35/2.80 % (7670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.80 % (7670)Termination reason: Unknown
% 10.35/2.80 % (7670)Termination phase: Saturation
% 10.35/2.80
% 10.35/2.80 % (7670)Memory used [KB]: 5884
% 10.35/2.80 % (7670)Time elapsed: 0.014 s
% 10.35/2.80 % (7670)Instructions burned: 26 (million)
% 10.35/2.80 % (7670)------------------------------
% 10.35/2.80 % (7670)------------------------------
% 10.35/2.82 % (7671)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_7478 for (2987ds/53Mi)
% 10.35/2.84 % (7671)Instruction limit reached!
% 10.35/2.84 % (7671)------------------------------
% 10.35/2.84 % (7671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.84 % (7671)Termination reason: Unknown
% 10.35/2.84 % (7671)Termination phase: Saturation
% 10.35/2.84
% 10.35/2.84 % (7671)Memory used [KB]: 6140
% 10.35/2.84 % (7671)Time elapsed: 0.024 s
% 10.35/2.84 % (7671)Instructions burned: 54 (million)
% 10.35/2.84 % (7671)------------------------------
% 10.35/2.84 % (7671)------------------------------
% 10.35/2.85 % (7672)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_7478 for (2986ds/4436Mi)
% 10.35/2.88 % (7669)Instruction limit reached!
% 10.35/2.88 % (7669)------------------------------
% 10.35/2.88 % (7669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.88 % (7669)Termination reason: Unknown
% 10.35/2.88 % (7669)Termination phase: Saturation
% 10.35/2.88
% 10.35/2.88 % (7669)Memory used [KB]: 6268
% 10.35/2.88 % (7669)Time elapsed: 0.101 s
% 10.35/2.88 % (7669)Instructions burned: 205 (million)
% 10.35/2.88 % (7669)------------------------------
% 10.35/2.88 % (7669)------------------------------
% 10.35/2.89 % (7668)Instruction limit reached!
% 10.35/2.89 % (7668)------------------------------
% 10.35/2.89 % (7668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.89 % (7668)Termination reason: Unknown
% 10.35/2.89 % (7668)Termination phase: Saturation
% 10.35/2.89
% 10.35/2.89 % (7668)Memory used [KB]: 6268
% 10.35/2.89 % (7668)Time elapsed: 0.116 s
% 10.35/2.89 % (7668)Instructions burned: 268 (million)
% 10.35/2.89 % (7668)------------------------------
% 10.35/2.89 % (7668)------------------------------
% 10.66/2.90 % (7673)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_7478 for (2986ds/1539Mi)
% 10.66/2.90 % (7674)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_7478 for (2986ds/408Mi)
% 10.66/2.92 % (7674)Refutation not found, incomplete strategy
% 10.66/2.92 % (7674)------------------------------
% 10.66/2.92 % (7674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.66/2.92 % (7674)Termination reason: Refutation not found, incomplete strategy
% 10.66/2.92
% 10.66/2.92
% 10.66/2.92 % (7674)Memory used [KB]: 6140
% 10.66/2.92 % (7674)Time elapsed: 0.022 s
% 10.66/2.92 % (7674)Instructions burned: 40 (million)
% 10.66/2.92 % (7674)------------------------------
% 10.66/2.92 % (7674)------------------------------
% 10.66/2.93 % (7666)Instruction limit reached!
% 10.66/2.93 % (7666)------------------------------
% 10.66/2.93 % (7666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.66/2.93 % (7666)Termination reason: Unknown
% 10.66/2.93 % (7666)Termination phase: Saturation
% 10.66/2.93
% 10.66/2.93 % (7666)Memory used [KB]: 6780
% 10.66/2.93 % (7666)Time elapsed: 0.181 s
% 10.66/2.93 % (7666)Instructions burned: 368 (million)
% 10.66/2.93 % (7666)------------------------------
% 10.66/2.93 % (7666)------------------------------
% 10.66/2.94 % (7675)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_7478 for (2986ds/5205Mi)
% 10.66/2.94 % (7676)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_7478 for (2985ds/1913Mi)
% 10.66/2.97 % (7655)Instruction limit reached!
% 10.66/2.97 % (7655)------------------------------
% 10.66/2.97 % (7655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.66/2.97 % (7655)Termination reason: Unknown
% 10.66/2.97 % (7655)Termination phase: Saturation
% 10.66/2.97
% 10.66/2.97 % (7655)Memory used [KB]: 6908
% 10.66/2.97 % (7655)Time elapsed: 0.442 s
% 10.66/2.97 % (7655)Instructions burned: 988 (million)
% 10.66/2.97 % (7655)------------------------------
% 10.66/2.97 % (7655)------------------------------
% 10.66/2.98 % (7677)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_7478 for (2985ds/4350Mi)
% 13.11/3.14 % (7662)Instruction limit reached!
% 13.11/3.14 % (7662)------------------------------
% 13.11/3.14 % (7662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.11/3.14 % (7662)Termination reason: Unknown
% 13.11/3.14 % (7662)Termination phase: Saturation
% 13.11/3.14
% 13.11/3.14 % (7662)Memory used [KB]: 8187
% 13.11/3.14 % (7662)Time elapsed: 0.462 s
% 13.11/3.14 % (7662)Instructions burned: 923 (million)
% 13.11/3.14 % (7662)------------------------------
% 13.11/3.14 % (7662)------------------------------
% 13.11/3.16 % (7678)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_7478 for (2983ds/68Mi)
% 13.11/3.19 % (7678)Instruction limit reached!
% 13.11/3.19 % (7678)------------------------------
% 13.11/3.19 % (7678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.11/3.19 % (7678)Termination reason: Unknown
% 13.11/3.19 % (7678)Termination phase: Saturation
% 13.11/3.19
% 13.11/3.19 % (7678)Memory used [KB]: 6140
% 13.11/3.19 % (7678)Time elapsed: 0.035 s
% 13.11/3.19 % (7678)Instructions burned: 68 (million)
% 13.11/3.19 % (7678)------------------------------
% 13.11/3.19 % (7678)------------------------------
% 13.66/3.21 % (7679)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_7478 for (2983ds/358Mi)
% 13.66/3.29 % (7667)Instruction limit reached!
% 13.66/3.29 % (7667)------------------------------
% 13.66/3.29 % (7667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.66/3.29 % (7667)Termination reason: Unknown
% 13.66/3.29 % (7667)Termination phase: Saturation
% 13.66/3.29
% 13.66/3.29 % (7667)Memory used [KB]: 8187
% 13.66/3.29 % (7667)Time elapsed: 0.514 s
% 13.66/3.29 % (7667)Instructions burned: 1022 (million)
% 13.66/3.29 % (7667)------------------------------
% 13.66/3.29 % (7667)------------------------------
% 14.26/3.30 % (7680)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_7478 for (2982ds/31Mi)
% 14.26/3.32 % (7680)Instruction limit reached!
% 14.26/3.32 % (7680)------------------------------
% 14.26/3.32 % (7680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.26/3.32 % (7680)Termination reason: Unknown
% 14.26/3.32 % (7680)Termination phase: Saturation
% 14.26/3.32
% 14.26/3.32 % (7680)Memory used [KB]: 5756
% 14.26/3.32 % (7680)Time elapsed: 0.016 s
% 14.26/3.32 % (7680)Instructions burned: 31 (million)
% 14.26/3.32 % (7680)------------------------------
% 14.26/3.32 % (7680)------------------------------
% 14.26/3.34 % (7681)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_7478 for (2982ds/279Mi)
% 14.26/3.39 % (7679)Instruction limit reached!
% 14.26/3.39 % (7679)------------------------------
% 14.26/3.39 % (7679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.26/3.39 % (7679)Termination reason: Unknown
% 14.26/3.39 % (7679)Termination phase: Saturation
% 14.26/3.39
% 14.26/3.39 % (7679)Memory used [KB]: 6524
% 14.26/3.39 % (7679)Time elapsed: 0.181 s
% 14.26/3.39 % (7679)Instructions burned: 359 (million)
% 14.26/3.39 % (7679)------------------------------
% 14.26/3.39 % (7679)------------------------------
% 14.98/3.40 % (7682)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_7478 for (2981ds/258Mi)
% 14.98/3.47 % (7681)Instruction limit reached!
% 14.98/3.47 % (7681)------------------------------
% 14.98/3.47 % (7681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.98/3.47 % (7681)Termination reason: Unknown
% 14.98/3.47 % (7681)Termination phase: Saturation
% 14.98/3.47
% 14.98/3.47 % (7681)Memory used [KB]: 6396
% 14.98/3.47 % (7681)Time elapsed: 0.135 s
% 14.98/3.47 % (7681)Instructions burned: 279 (million)
% 14.98/3.47 % (7681)------------------------------
% 14.98/3.47 % (7681)------------------------------
% 14.98/3.49 % (7683)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_7478 for (2980ds/26Mi)
% 15.65/3.50 % (7683)Instruction limit reached!
% 15.65/3.50 % (7683)------------------------------
% 15.65/3.50 % (7683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.65/3.50 % (7683)Termination reason: Unknown
% 15.65/3.50 % (7683)Termination phase: Saturation
% 15.65/3.50
% 15.65/3.50 % (7683)Memory used [KB]: 5884
% 15.65/3.50 % (7683)Time elapsed: 0.014 s
% 15.65/3.50 % (7683)Instructions burned: 26 (million)
% 15.65/3.50 % (7683)------------------------------
% 15.65/3.50 % (7683)------------------------------
% 15.65/3.52 % (7684)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_7478 for (2980ds/995Mi)
% 15.65/3.52 % (7682)Instruction limit reached!
% 15.65/3.52 % (7682)------------------------------
% 15.65/3.52 % (7682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.65/3.52 % (7682)Termination reason: Unknown
% 15.65/3.52 % (7682)Termination phase: Saturation
% 15.65/3.52
% 15.65/3.52 % (7682)Memory used [KB]: 7036
% 15.65/3.52 % (7682)Time elapsed: 0.122 s
% 15.65/3.52 % (7682)Instructions burned: 259 (million)
% 15.65/3.52 % (7682)------------------------------
% 15.65/3.52 % (7682)------------------------------
% 15.65/3.54 % (7685)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_7478 for (2980ds/373Mi)
% 16.31/3.65 % (7673)Instruction limit reached!
% 16.31/3.65 % (7673)------------------------------
% 16.31/3.65 % (7673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.31/3.65 % (7673)Termination reason: Unknown
% 16.31/3.65 % (7673)Termination phase: Saturation
% 16.31/3.65
% 16.31/3.65 % (7673)Memory used [KB]: 9338
% 16.31/3.65 % (7673)Time elapsed: 0.750 s
% 16.31/3.65 % (7673)Instructions burned: 1539 (million)
% 16.31/3.65 % (7673)------------------------------
% 16.31/3.65 % (7673)------------------------------
% 16.31/3.66 % (7686)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_7478 for (2978ds/253Mi)
% 16.79/3.73 % (7685)Instruction limit reached!
% 16.79/3.73 % (7685)------------------------------
% 16.79/3.73 % (7685)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.79/3.73 % (7685)Termination reason: Unknown
% 16.79/3.73 % (7685)Termination phase: Saturation
% 16.79/3.73
% 16.79/3.73 % (7685)Memory used [KB]: 7164
% 16.79/3.73 % (7685)Time elapsed: 0.186 s
% 16.79/3.73 % (7685)Instructions burned: 374 (million)
% 16.79/3.73 % (7685)------------------------------
% 16.79/3.73 % (7685)------------------------------
% 16.79/3.74 % (7687)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_7478 for (2978ds/832Mi)
% 16.79/3.77 % (7687)Refutation not found, incomplete strategy
% 16.79/3.77 % (7687)------------------------------
% 16.79/3.77 % (7687)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.79/3.77 % (7687)Termination reason: Refutation not found, incomplete strategy
% 16.79/3.77
% 16.79/3.77
% 16.79/3.77 % (7687)Memory used [KB]: 6140
% 16.79/3.77 % (7687)Time elapsed: 0.024 s
% 16.79/3.77 % (7687)Instructions burned: 42 (million)
% 16.79/3.77 % (7687)------------------------------
% 16.79/3.77 % (7687)------------------------------
% 16.79/3.78 % (7686)Instruction limit reached!
% 16.79/3.78 % (7686)------------------------------
% 16.79/3.78 % (7686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.79/3.78 % (7688)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_7478 for (2977ds/668Mi)
% 16.79/3.78 % (7686)Termination reason: Unknown
% 16.79/3.78 % (7686)Termination phase: Saturation
% 16.79/3.78
% 16.79/3.78 % (7686)Memory used [KB]: 6524
% 16.79/3.78 % (7686)Time elapsed: 0.122 s
% 16.79/3.78 % (7686)Instructions burned: 253 (million)
% 16.79/3.78 % (7686)------------------------------
% 16.79/3.78 % (7686)------------------------------
% 17.56/3.80 % (7689)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_7478 for (2977ds/40Mi)
% 17.56/3.82 % (7689)Instruction limit reached!
% 17.56/3.82 % (7689)------------------------------
% 17.56/3.82 % (7689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.56/3.82 % (7689)Termination reason: Unknown
% 17.56/3.82 % (7689)Termination phase: Saturation
% 17.56/3.82
% 17.56/3.82 % (7689)Memory used [KB]: 6012
% 17.56/3.82 % (7689)Time elapsed: 0.020 s
% 17.56/3.82 % (7689)Instructions burned: 42 (million)
% 17.56/3.82 % (7689)------------------------------
% 17.56/3.82 % (7689)------------------------------
% 17.56/3.84 % (7690)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_7478 for (2977ds/294Mi)
% 17.56/3.85 % (7676)Instruction limit reached!
% 17.56/3.85 % (7676)------------------------------
% 17.56/3.85 % (7676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.56/3.85 % (7676)Termination reason: Unknown
% 17.56/3.85 % (7676)Termination phase: Saturation
% 17.56/3.85
% 17.56/3.85 % (7676)Memory used [KB]: 4349
% 17.56/3.85 % (7676)Time elapsed: 0.905 s
% 17.56/3.85 % (7676)Instructions burned: 1914 (million)
% 17.56/3.85 % (7676)------------------------------
% 17.56/3.85 % (7676)------------------------------
% 17.56/3.87 % (7691)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_7478 for (2976ds/187Mi)
% 17.93/3.92 % (7684)Instruction limit reached!
% 17.93/3.92 % (7684)------------------------------
% 17.93/3.92 % (7684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.93/3.92 % (7684)Termination reason: Unknown
% 17.93/3.92 % (7684)Termination phase: Saturation
% 17.93/3.92
% 17.93/3.92 % (7684)Memory used [KB]: 6396
% 17.93/3.92 % (7684)Time elapsed: 0.403 s
% 17.93/3.92 % (7684)Instructions burned: 996 (million)
% 17.93/3.92 % (7684)------------------------------
% 17.93/3.92 % (7684)------------------------------
% 17.93/3.93 % (7692)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_7478 for (2976ds/371Mi)
% 17.93/3.96 % (7691)Instruction limit reached!
% 17.93/3.96 % (7691)------------------------------
% 17.93/3.96 % (7691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.93/3.96 % (7691)Termination reason: Unknown
% 17.93/3.96 % (7691)Termination phase: Saturation
% 17.93/3.96
% 17.93/3.96 % (7691)Memory used [KB]: 6524
% 17.93/3.96 % (7691)Time elapsed: 0.094 s
% 17.93/3.96 % (7691)Instructions burned: 188 (million)
% 17.93/3.96 % (7691)------------------------------
% 17.93/3.96 % (7691)------------------------------
% 17.93/3.97 % (7693)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_7478 for (2975ds/1827Mi)
% 17.93/3.98 % (7690)Instruction limit reached!
% 17.93/3.98 % (7690)------------------------------
% 17.93/3.98 % (7690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.93/3.98 % (7690)Termination reason: Unknown
% 17.93/3.98 % (7690)Termination phase: Saturation
% 17.93/3.98
% 17.93/3.98 % (7690)Memory used [KB]: 6268
% 17.93/3.98 % (7690)Time elapsed: 0.140 s
% 17.93/3.98 % (7690)Instructions burned: 295 (million)
% 17.93/3.98 % (7690)------------------------------
% 17.93/3.98 % (7690)------------------------------
% 17.93/3.99 % (7694)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_7478 for (2975ds/70Mi)
% 17.93/4.02 % (7694)Instruction limit reached!
% 17.93/4.02 % (7694)------------------------------
% 17.93/4.02 % (7694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.93/4.02 % (7694)Termination reason: Unknown
% 17.93/4.02 % (7694)Termination phase: Saturation
% 17.93/4.02
% 17.93/4.02 % (7694)Memory used [KB]: 1407
% 17.93/4.02 % (7694)Time elapsed: 0.032 s
% 17.93/4.02 % (7694)Instructions burned: 71 (million)
% 17.93/4.02 % (7694)------------------------------
% 17.93/4.02 % (7694)------------------------------
% 19.44/4.04 % (7695)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_7478 for (2975ds/316Mi)
% 19.44/4.07 % (7688)Instruction limit reached!
% 19.44/4.07 % (7688)------------------------------
% 19.44/4.07 % (7688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.44/4.07 % (7688)Termination reason: Unknown
% 19.44/4.07 % (7688)Termination phase: Saturation
% 19.44/4.07
% 19.44/4.07 % (7688)Memory used [KB]: 11385
% 19.44/4.07 % (7688)Time elapsed: 0.288 s
% 19.44/4.07 % (7688)Instructions burned: 668 (million)
% 19.44/4.07 % (7688)------------------------------
% 19.44/4.07 % (7688)------------------------------
% 19.44/4.09 % (7696)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_7478 for (2974ds/932Mi)
% 19.44/4.11 % (7692)Instruction limit reached!
% 19.44/4.11 % (7692)------------------------------
% 19.44/4.11 % (7692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.44/4.11 % (7692)Termination reason: Unknown
% 19.44/4.11 % (7692)Termination phase: Saturation
% 19.44/4.11
% 19.44/4.11 % (7692)Memory used [KB]: 6908
% 19.44/4.11 % (7692)Time elapsed: 0.183 s
% 19.44/4.11 % (7692)Instructions burned: 372 (million)
% 19.44/4.11 % (7692)------------------------------
% 19.44/4.11 % (7692)------------------------------
% 20.01/4.13 % (7697)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_7478 for (2974ds/4714Mi)
% 20.01/4.17 % (7695)Instruction limit reached!
% 20.01/4.17 % (7695)------------------------------
% 20.01/4.17 % (7695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.01/4.17 % (7695)Termination reason: Unknown
% 20.01/4.17 % (7695)Termination phase: Saturation
% 20.01/4.17
% 20.01/4.17 % (7695)Memory used [KB]: 6140
% 20.01/4.17 % (7695)Time elapsed: 0.134 s
% 20.01/4.17 % (7695)Instructions burned: 316 (million)
% 20.01/4.17 % (7695)------------------------------
% 20.01/4.17 % (7695)------------------------------
% 20.01/4.19 % (7698)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_7478 for (2973ds/8250Mi)
% 21.64/4.52 % (7696)Instruction limit reached!
% 21.64/4.52 % (7696)------------------------------
% 21.64/4.52 % (7696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.64/4.52 % (7696)Termination reason: Unknown
% 21.64/4.52 % (7696)Termination phase: Saturation
% 21.64/4.52
% 21.64/4.52 % (7696)Memory used [KB]: 7547
% 21.64/4.52 % (7696)Time elapsed: 0.451 s
% 21.64/4.52 % (7696)Instructions burned: 932 (million)
% 21.64/4.52 % (7696)------------------------------
% 21.64/4.52 % (7696)------------------------------
% 21.64/4.53 % (7699)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_7478 for (2970ds/770Mi)
% 22.49/4.60 % (7699)Refutation not found, incomplete strategy
% 22.49/4.60 % (7699)------------------------------
% 22.49/4.60 % (7699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.49/4.60 % (7699)Termination reason: Refutation not found, incomplete strategy
% 22.49/4.60
% 22.49/4.60
% 22.49/4.60 % (7699)Memory used [KB]: 5756
% 22.49/4.61 % (7699)Time elapsed: 0.098 s
% 22.49/4.61 % (7699)Instructions burned: 162 (million)
% 22.49/4.61 % (7699)------------------------------
% 22.49/4.61 % (7699)------------------------------
% 22.49/4.62 % (7700)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_7478 for (2969ds/794Mi)
% 23.38/4.88 % (7693)Instruction limit reached!
% 23.38/4.88 % (7693)------------------------------
% 23.38/4.88 % (7693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.38/4.88 % (7693)Termination reason: Unknown
% 23.38/4.88 % (7693)Termination phase: Saturation
% 23.38/4.88
% 23.38/4.88 % (7693)Memory used [KB]: 13048
% 23.38/4.88 % (7693)Time elapsed: 0.932 s
% 23.38/4.88 % (7693)Instructions burned: 1828 (million)
% 23.38/4.88 % (7693)------------------------------
% 23.38/4.88 % (7693)------------------------------
% 23.79/4.90 % (7701)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_7478 for (2966ds/464Mi)
% 23.79/5.02 % (7700)Instruction limit reached!
% 23.79/5.02 % (7700)------------------------------
% 23.79/5.02 % (7700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.79/5.02 % (7700)Termination reason: Unknown
% 23.79/5.02 % (7700)Termination phase: Saturation
% 23.79/5.02
% 23.79/5.02 % (7700)Memory used [KB]: 3582
% 23.79/5.02 % (7700)Time elapsed: 0.421 s
% 23.79/5.02 % (7700)Instructions burned: 795 (million)
% 23.79/5.02 % (7700)------------------------------
% 23.79/5.02 % (7700)------------------------------
% 26.41/5.04 % (7702)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_7478 for (2965ds/1376Mi)
% 26.41/5.10 % (7672)Instruction limit reached!
% 26.41/5.10 % (7672)------------------------------
% 26.41/5.10 % (7672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.41/5.10 % (7672)Termination reason: Unknown
% 26.41/5.10 % (7672)Termination phase: Saturation
% 26.41/5.10
% 26.41/5.10 % (7672)Memory used [KB]: 13688
% 26.41/5.10 % (7672)Time elapsed: 2.245 s
% 26.41/5.10 % (7672)Instructions burned: 4436 (million)
% 26.41/5.10 % (7672)------------------------------
% 26.41/5.10 % (7672)------------------------------
% 26.41/5.11 % (7677)Refutation not found, non-redundant clauses discarded% (7677)------------------------------
% 26.41/5.11 % (7677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.41/5.11 % (7677)Termination reason: Refutation not found, non-redundant clauses discarded
% 26.41/5.11
% 26.41/5.11 % (7677)Memory used [KB]: 11257
% 26.41/5.11 % (7677)Time elapsed: 2.135 s
% 26.41/5.11 % (7677)Instructions burned: 4299 (million)
% 26.41/5.11 % (7677)------------------------------
% 26.41/5.11 % (7677)------------------------------
% 26.41/5.12 % (7703)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_7478 for (2964ds/906Mi)
% 26.41/5.13 % (7704)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_7478 for (2964ds/434Mi)
% 27.02/5.13 % (7701)Instruction limit reached!
% 27.02/5.13 % (7701)------------------------------
% 27.02/5.13 % (7701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.02/5.13 % (7701)Termination reason: Unknown
% 27.02/5.13 % (7701)Termination phase: Saturation
% 27.02/5.13
% 27.02/5.13 % (7701)Memory used [KB]: 6908
% 27.02/5.13 % (7701)Time elapsed: 0.255 s
% 27.02/5.13 % (7701)Instructions burned: 464 (million)
% 27.02/5.13 % (7701)------------------------------
% 27.02/5.13 % (7701)------------------------------
% 27.02/5.15 % (7705)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_7478 for (2963ds/865Mi)
% 27.02/5.15 % (7704)Refutation not found, incomplete strategy
% 27.02/5.15 % (7704)------------------------------
% 27.02/5.15 % (7704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.02/5.15 % (7704)Termination reason: Refutation not found, incomplete strategy
% 27.02/5.15
% 27.02/5.15
% 27.02/5.15 % (7704)Memory used [KB]: 6268
% 27.02/5.15 % (7704)Time elapsed: 0.030 s
% 27.02/5.15 % (7704)Instructions burned: 57 (million)
% 27.02/5.15 % (7704)------------------------------
% 27.02/5.15 % (7704)------------------------------
% 27.02/5.17 % (7706)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_7478 for (2963ds/593Mi)
% 27.60/5.34 % (7675)Instruction limit reached!
% 27.60/5.34 % (7675)------------------------------
% 27.60/5.34 % (7675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.60/5.34 % (7675)Termination reason: Unknown
% 27.60/5.34 % (7675)Termination phase: Saturation
% 27.60/5.34
% 27.60/5.34 % (7675)Memory used [KB]: 14583
% 27.60/5.34 % (7675)Time elapsed: 2.401 s
% 27.60/5.34 % (7675)Instructions burned: 5205 (million)
% 27.60/5.34 % (7675)------------------------------
% 27.60/5.34 % (7675)------------------------------
% 27.60/5.36 % (7707)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_7478 for (2961ds/443Mi)
% 27.86/5.45 % (7706)Instruction limit reached!
% 27.86/5.45 % (7706)------------------------------
% 27.86/5.45 % (7706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.86/5.45 % (7706)Termination reason: Unknown
% 27.86/5.45 % (7706)Termination phase: Saturation
% 27.86/5.45
% 27.86/5.45 % (7706)Memory used [KB]: 6780
% 27.86/5.45 % (7706)Time elapsed: 0.286 s
% 27.86/5.45 % (7706)Instructions burned: 593 (million)
% 27.86/5.45 % (7706)------------------------------
% 27.86/5.45 % (7706)------------------------------
% 27.86/5.47 % (7708)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_7478 for (2960ds/594Mi)
% 28.36/5.51 % (7705)Instruction limit reached!
% 28.36/5.51 % (7705)------------------------------
% 28.36/5.51 % (7705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.36/5.51 % (7705)Termination reason: Unknown
% 28.36/5.51 % (7705)Termination phase: Saturation
% 28.36/5.51
% 28.36/5.51 % (7705)Memory used [KB]: 7803
% 28.36/5.51 % (7705)Time elapsed: 0.361 s
% 28.36/5.51 % (7705)Instructions burned: 866 (million)
% 28.36/5.51 % (7705)------------------------------
% 28.36/5.51 % (7705)------------------------------
% 28.36/5.53 % (7709)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_7478 for (2960ds/327Mi)
% 28.36/5.56 % (7703)Instruction limit reached!
% 28.36/5.56 % (7703)------------------------------
% 28.36/5.56 % (7703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.36/5.56 % (7703)Termination reason: Unknown
% 28.36/5.56 % (7703)Termination phase: Saturation
% 28.36/5.56
% 28.36/5.56 % (7703)Memory used [KB]: 8443
% 28.36/5.56 % (7703)Time elapsed: 0.443 s
% 28.36/5.56 % (7703)Instructions burned: 907 (million)
% 28.36/5.56 % (7703)------------------------------
% 28.36/5.56 % (7703)------------------------------
% 28.36/5.58 % (7710)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_7478 for (2959ds/5411Mi)
% 28.36/5.58 % (7707)Instruction limit reached!
% 28.36/5.58 % (7707)------------------------------
% 28.36/5.58 % (7707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.36/5.58 % (7707)Termination reason: Unknown
% 28.36/5.58 % (7707)Termination phase: Saturation
% 28.36/5.58
% 28.36/5.58 % (7707)Memory used [KB]: 6780
% 28.36/5.58 % (7707)Time elapsed: 0.221 s
% 28.36/5.58 % (7707)Instructions burned: 444 (million)
% 28.36/5.58 % (7707)------------------------------
% 28.36/5.58 % (7707)------------------------------
% 28.36/5.60 % (7711)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_7478 for (2959ds/1762Mi)
% 29.63/5.62 % (7702)Instruction limit reached!
% 29.63/5.62 % (7702)------------------------------
% 29.63/5.62 % (7702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.63/5.62 % (7702)Termination reason: Unknown
% 29.63/5.62 % (7702)Termination phase: Saturation
% 29.63/5.62
% 29.63/5.62 % (7702)Memory used [KB]: 7164
% 29.63/5.62 % (7702)Time elapsed: 0.587 s
% 29.63/5.62 % (7702)Instructions burned: 1376 (million)
% 29.63/5.62 % (7702)------------------------------
% 29.63/5.62 % (7702)------------------------------
% 29.63/5.64 % (7712)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_7478 for (2959ds/96Mi)
% 29.63/5.68 % (7712)Instruction limit reached!
% 29.63/5.68 % (7712)------------------------------
% 29.63/5.68 % (7712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.63/5.68 % (7712)Termination reason: Unknown
% 29.63/5.68 % (7712)Termination phase: Saturation
% 29.63/5.68
% 29.63/5.68 % (7712)Memory used [KB]: 6012
% 29.63/5.68 % (7712)Time elapsed: 0.048 s
% 29.63/5.68 % (7712)Instructions burned: 96 (million)
% 29.63/5.68 % (7712)------------------------------
% 29.63/5.68 % (7712)------------------------------
% 29.63/5.69 % (7709)Instruction limit reached!
% 29.63/5.69 % (7709)------------------------------
% 29.63/5.69 % (7709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.63/5.69 % (7709)Termination reason: Unknown
% 29.63/5.69 % (7709)Termination phase: Saturation
% 29.63/5.69
% 29.63/5.69 % (7709)Memory used [KB]: 7291
% 29.63/5.69 % (7709)Time elapsed: 0.162 s
% 29.63/5.69 % (7709)Instructions burned: 327 (million)
% 29.63/5.69 % (7709)------------------------------
% 29.63/5.69 % (7709)------------------------------
% 30.67/5.70 % (7713)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_7478 for (2958ds/503Mi)
% 30.67/5.70 % (7714)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_7478 for (2958ds/90Mi)
% 30.67/5.75 % (7714)Instruction limit reached!
% 30.67/5.75 % (7714)------------------------------
% 30.67/5.75 % (7714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.67/5.75 % (7714)Termination reason: Unknown
% 30.67/5.75 % (7714)Termination phase: Saturation
% 30.67/5.75
% 30.67/5.75 % (7714)Memory used [KB]: 6140
% 30.67/5.75 % (7714)Time elapsed: 0.046 s
% 30.67/5.75 % (7714)Instructions burned: 91 (million)
% 30.67/5.75 % (7714)------------------------------
% 30.67/5.75 % (7714)------------------------------
% 30.67/5.76 % (7708)Instruction limit reached!
% 30.67/5.76 % (7708)------------------------------
% 30.67/5.76 % (7708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.67/5.76 % (7708)Termination reason: Unknown
% 30.67/5.76 % (7708)Termination phase: Saturation
% 30.67/5.76
% 30.67/5.76 % (7708)Memory used [KB]: 6908
% 30.67/5.76 % (7708)Time elapsed: 0.289 s
% 30.67/5.76 % (7708)Instructions burned: 595 (million)
% 30.67/5.76 % (7708)------------------------------
% 30.67/5.76 % (7708)------------------------------
% 30.67/5.76 % (7715)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_7478 for (2957ds/593Mi)
% 30.67/5.78 % (7716)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_7478 for (2957ds/1512Mi)
% 31.23/5.80 % (7716)Refutation not found, incomplete strategy
% 31.23/5.80 % (7716)------------------------------
% 31.23/5.80 % (7716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.80 % (7716)Termination reason: Refutation not found, incomplete strategy
% 31.23/5.80
% 31.23/5.80
% 31.23/5.80 % (7716)Memory used [KB]: 6140
% 31.23/5.80 % (7716)Time elapsed: 0.025 s
% 31.23/5.80 % (7716)Instructions burned: 46 (million)
% 31.23/5.80 % (7716)------------------------------
% 31.23/5.80 % (7716)------------------------------
% 31.23/5.82 % (7717)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_7478 for (2957ds/569Mi)
% 31.48/5.95 % (7713)Instruction limit reached!
% 31.48/5.95 % (7713)------------------------------
% 31.48/5.95 % (7713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.48/5.95 % (7713)Termination reason: Unknown
% 31.48/5.95 % (7713)Termination phase: Saturation
% 31.48/5.95
% 31.48/5.95 % (7713)Memory used [KB]: 6396
% 31.48/5.95 % (7713)Time elapsed: 0.247 s
% 31.48/5.95 % (7713)Instructions burned: 503 (million)
% 31.48/5.95 % (7713)------------------------------
% 31.48/5.95 % (7713)------------------------------
% 31.48/5.96 % (7718)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_7478 for (2955ds/501Mi)
% 33.41/6.06 % (7715)Instruction limit reached!
% 33.41/6.06 % (7715)------------------------------
% 33.41/6.06 % (7715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.41/6.06 % (7715)Termination reason: Unknown
% 33.41/6.06 % (7715)Termination phase: Saturation
% 33.41/6.06
% 33.41/6.06 % (7715)Memory used [KB]: 7164
% 33.41/6.06 % (7715)Time elapsed: 0.297 s
% 33.41/6.06 % (7715)Instructions burned: 595 (million)
% 33.41/6.06 % (7715)------------------------------
% 33.41/6.06 % (7715)------------------------------
% 33.41/6.08 % (7719)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_7478 for (2954ds/562Mi)
% 33.41/6.10 % (7717)Instruction limit reached!
% 33.41/6.10 % (7717)------------------------------
% 33.41/6.10 % (7717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.41/6.10 % (7717)Termination reason: Unknown
% 33.41/6.10 % (7717)Termination phase: Saturation
% 33.41/6.10
% 33.41/6.10 % (7717)Memory used [KB]: 6780
% 33.41/6.10 % (7717)Time elapsed: 0.298 s
% 33.41/6.10 % (7717)Instructions burned: 569 (million)
% 33.41/6.10 % (7717)------------------------------
% 33.41/6.10 % (7717)------------------------------
% 33.41/6.12 % (7720)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_7478 for (2954ds/406Mi)
% 34.06/6.14 % (7720)Refutation not found, incomplete strategy
% 34.06/6.14 % (7720)------------------------------
% 34.06/6.14 % (7720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.06/6.14 % (7720)Termination reason: Refutation not found, incomplete strategy
% 34.06/6.14
% 34.06/6.14
% 34.06/6.14 % (7720)Memory used [KB]: 5756
% 34.06/6.14 % (7720)Time elapsed: 0.025 s
% 34.06/6.14 % (7720)Instructions burned: 48 (million)
% 34.06/6.14 % (7720)------------------------------
% 34.06/6.14 % (7720)------------------------------
% 34.06/6.16 % (7721)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_7478 for (2953ds/582Mi)
% 34.45/6.21 % (7718)Instruction limit reached!
% 34.45/6.21 % (7718)------------------------------
% 34.45/6.21 % (7718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.45/6.21 % (7718)Termination reason: Unknown
% 34.45/6.21 % (7718)Termination phase: Saturation
% 34.45/6.21
% 34.45/6.21 % (7718)Memory used [KB]: 7419
% 34.45/6.21 % (7718)Time elapsed: 0.249 s
% 34.45/6.21 % (7718)Instructions burned: 502 (million)
% 34.45/6.21 % (7718)------------------------------
% 34.45/6.21 % (7718)------------------------------
% 34.45/6.23 % (7722)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_7478 for (2953ds/456Mi)
% 34.87/6.32 % (7711)Instruction limit reached!
% 34.87/6.32 % (7711)------------------------------
% 34.87/6.32 % (7711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.87/6.32 % (7711)Termination reason: Unknown
% 34.87/6.32 % (7711)Termination phase: Saturation
% 34.87/6.32
% 34.87/6.32 % (7711)Memory used [KB]: 7036
% 34.87/6.32 % (7711)Time elapsed: 0.729 s
% 34.87/6.32 % (7711)Instructions burned: 1762 (million)
% 34.87/6.32 % (7711)------------------------------
% 34.87/6.32 % (7711)------------------------------
% 34.87/6.34 % (7723)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_7478 for (2952ds/393Mi)
% 34.87/6.36 % (7719)Instruction limit reached!
% 34.87/6.36 % (7719)------------------------------
% 34.87/6.36 % (7719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.87/6.36 % (7719)Termination reason: Unknown
% 34.87/6.36 % (7719)Termination phase: Saturation
% 34.87/6.36
% 34.87/6.36 % (7719)Memory used [KB]: 7291
% 34.87/6.36 % (7719)Time elapsed: 0.307 s
% 34.87/6.36 % (7719)Instructions burned: 562 (million)
% 34.87/6.36 % (7719)------------------------------
% 34.87/6.36 % (7719)------------------------------
% 34.87/6.37 % (7697)Instruction limit reached!
% 34.87/6.37 % (7697)------------------------------
% 34.87/6.37 % (7697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.87/6.37 % (7697)Termination reason: Unknown
% 34.87/6.37 % (7697)Termination phase: Saturation
% 34.87/6.37
% 34.87/6.37 % (7697)Memory used [KB]: 12281
% 34.87/6.37 % (7697)Time elapsed: 2.260 s
% 34.87/6.37 % (7697)Instructions burned: 4714 (million)
% 34.87/6.37 % (7697)------------------------------
% 34.87/6.37 % (7697)------------------------------
% 34.87/6.38 % (7724)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_7478 for (2951ds/1335Mi)
% 34.87/6.39 % (7725)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_7478 for (2951ds/3373Mi)
% 35.46/6.45 % (7722)Instruction limit reached!
% 35.46/6.45 % (7722)------------------------------
% 35.46/6.45 % (7722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.46/6.45 % (7722)Termination reason: Unknown
% 35.46/6.45 % (7722)Termination phase: Saturation
% 35.46/6.45
% 35.46/6.45 % (7722)Memory used [KB]: 6780
% 35.46/6.45 % (7722)Time elapsed: 0.226 s
% 35.46/6.45 % (7722)Instructions burned: 458 (million)
% 35.46/6.45 % (7722)------------------------------
% 35.46/6.45 % (7722)------------------------------
% 35.46/6.45 % (7721)Instruction limit reached!
% 35.46/6.45 % (7721)------------------------------
% 35.46/6.45 % (7721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.46/6.45 % (7721)Termination reason: Unknown
% 35.46/6.45 % (7721)Termination phase: Saturation
% 35.46/6.45
% 35.46/6.45 % (7721)Memory used [KB]: 7419
% 35.46/6.45 % (7721)Time elapsed: 0.294 s
% 35.46/6.45 % (7721)Instructions burned: 582 (million)
% 35.46/6.45 % (7721)------------------------------
% 35.46/6.45 % (7721)------------------------------
% 35.46/6.47 % (7726)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_7478 for (2950ds/474Mi)
% 35.46/6.47 % (7727)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_7478 for (2950ds/157Mi)
% 36.21/6.54 % (7723)Instruction limit reached!
% 36.21/6.54 % (7723)------------------------------
% 36.21/6.54 % (7723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.21/6.54 % (7723)Termination reason: Unknown
% 36.21/6.54 % (7723)Termination phase: Saturation
% 36.21/6.54
% 36.21/6.54 % (7723)Memory used [KB]: 6908
% 36.21/6.54 % (7723)Time elapsed: 0.200 s
% 36.21/6.54 % (7723)Instructions burned: 393 (million)
% 36.21/6.54 % (7723)------------------------------
% 36.21/6.54 % (7723)------------------------------
% 36.21/6.54 % (7727)Instruction limit reached!
% 36.21/6.54 % (7727)------------------------------
% 36.21/6.54 % (7727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.21/6.54 % (7727)Termination reason: Unknown
% 36.21/6.54 % (7727)Termination phase: Saturation
% 36.21/6.54
% 36.21/6.54 % (7727)Memory used [KB]: 6140
% 36.21/6.54 % (7727)Time elapsed: 0.076 s
% 36.21/6.54 % (7727)Instructions burned: 158 (million)
% 36.21/6.54 % (7727)------------------------------
% 36.21/6.54 % (7727)------------------------------
% 36.21/6.56 % (7728)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_7478 for (2949ds/590Mi)
% 36.21/6.56 % (7729)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_7478 for (2949ds/104Mi)
% 36.72/6.61 % (7729)Instruction limit reached!
% 36.72/6.61 % (7729)------------------------------
% 36.72/6.61 % (7729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.72/6.61 % (7729)Termination reason: Unknown
% 36.72/6.61 % (7729)Termination phase: Saturation
% 36.72/6.61
% 36.72/6.61 % (7729)Memory used [KB]: 6140
% 36.72/6.61 % (7729)Time elapsed: 0.053 s
% 36.72/6.61 % (7729)Instructions burned: 104 (million)
% 36.72/6.61 % (7729)------------------------------
% 36.72/6.61 % (7729)------------------------------
% 36.72/6.63 % (7730)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_7478 for (2949ds/414Mi)
% 36.72/6.68 % (7726)Instruction limit reached!
% 36.72/6.68 % (7726)------------------------------
% 36.72/6.68 % (7726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.72/6.68 % (7726)Termination reason: Unknown
% 36.72/6.68 % (7726)Termination phase: Saturation
% 36.72/6.68
% 36.72/6.68 % (7726)Memory used [KB]: 6524
% 36.72/6.68 % (7726)Time elapsed: 0.209 s
% 36.72/6.68 % (7726)Instructions burned: 474 (million)
% 36.72/6.68 % (7726)------------------------------
% 36.72/6.68 % (7726)------------------------------
% 36.72/6.69 % (7731)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_7478 for (2948ds/715Mi)
% 37.41/6.83 % (7730)Instruction limit reached!
% 37.41/6.83 % (7730)------------------------------
% 37.41/6.83 % (7730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.41/6.83 % (7730)Termination reason: Unknown
% 37.41/6.83 % (7730)Termination phase: Saturation
% 37.41/6.83
% 37.41/6.83 % (7730)Memory used [KB]: 6524
% 37.41/6.83 % (7730)Time elapsed: 0.197 s
% 37.41/6.83 % (7730)Instructions burned: 414 (million)
% 37.41/6.83 % (7730)------------------------------
% 37.41/6.83 % (7730)------------------------------
% 37.41/6.84 % (7728)Instruction limit reached!
% 37.41/6.84 % (7728)------------------------------
% 37.41/6.84 % (7728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.41/6.84 % (7728)Termination reason: Unknown
% 37.41/6.84 % (7728)Termination phase: Saturation
% 37.41/6.84
% 37.41/6.84 % (7728)Memory used [KB]: 8827
% 37.41/6.84 % (7728)Time elapsed: 0.283 s
% 37.41/6.84 % (7728)Instructions burned: 590 (million)
% 37.41/6.84 % (7728)------------------------------
% 37.41/6.84 % (7728)------------------------------
% 37.41/6.84 % (7732)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_7478 for (2947ds/961Mi)
% 37.41/6.86 % (7733)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_7478 for (2946ds/1213Mi)
% 38.13/7.00 % (7724)Instruction limit reached!
% 38.13/7.00 % (7724)------------------------------
% 38.13/7.00 % (7724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.13/7.00 % (7724)Termination reason: Unknown
% 38.13/7.00 % (7724)Termination phase: Saturation
% 38.13/7.00
% 38.13/7.00 % (7724)Memory used [KB]: 8315
% 38.13/7.00 % (7724)Time elapsed: 0.624 s
% 38.13/7.00 % (7724)Instructions burned: 1336 (million)
% 38.13/7.00 % (7724)------------------------------
% 38.13/7.00 % (7724)------------------------------
% 38.13/7.02 % (7734)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_7478 for (2945ds/1979Mi)
% 40.33/7.04 % (7731)Instruction limit reached!
% 40.33/7.04 % (7731)------------------------------
% 40.33/7.04 % (7731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.33/7.04 % (7731)Termination reason: Unknown
% 40.33/7.04 % (7731)Termination phase: Saturation
% 40.33/7.04
% 40.33/7.04 % (7731)Memory used [KB]: 3070
% 40.33/7.04 % (7731)Time elapsed: 0.350 s
% 40.33/7.04 % (7731)Instructions burned: 715 (million)
% 40.33/7.04 % (7731)------------------------------
% 40.33/7.04 % (7731)------------------------------
% 40.33/7.06 % (7735)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_7478 for (2944ds/481Mi)
% 41.26/7.27 % (7735)Instruction limit reached!
% 41.26/7.27 % (7735)------------------------------
% 41.26/7.27 % (7735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.26/7.27 % (7735)Termination reason: Unknown
% 41.26/7.27 % (7735)Termination phase: Saturation
% 41.26/7.27
% 41.26/7.27 % (7735)Memory used [KB]: 6268
% 41.26/7.27 % (7735)Time elapsed: 0.234 s
% 41.26/7.27 % (7735)Instructions burned: 483 (million)
% 41.26/7.27 % (7735)------------------------------
% 41.26/7.27 % (7735)------------------------------
% 41.26/7.28 % (7736)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_7478 for (2942ds/783Mi)
% 41.97/7.31 % (7732)Instruction limit reached!
% 41.97/7.31 % (7732)------------------------------
% 41.97/7.31 % (7732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.97/7.31 % (7732)Termination reason: Unknown
% 41.97/7.31 % (7732)Termination phase: Saturation
% 41.97/7.31
% 41.97/7.31 % (7732)Memory used [KB]: 7419
% 41.97/7.31 % (7732)Time elapsed: 0.492 s
% 41.97/7.31 % (7732)Instructions burned: 961 (million)
% 41.97/7.31 % (7732)------------------------------
% 41.97/7.31 % (7732)------------------------------
% 41.97/7.33 % (7737)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_7478 for (2942ds/432Mi)
% 42.40/7.46 % (7733)Instruction limit reached!
% 42.40/7.46 % (7733)------------------------------
% 42.40/7.46 % (7733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.40/7.46 % (7733)Termination reason: Unknown
% 42.40/7.46 % (7733)Termination phase: Saturation
% 42.40/7.46
% 42.40/7.46 % (7733)Memory used [KB]: 8955
% 42.40/7.46 % (7733)Time elapsed: 0.629 s
% 42.40/7.46 % (7733)Instructions burned: 1214 (million)
% 42.40/7.46 % (7733)------------------------------
% 42.40/7.46 % (7733)------------------------------
% 42.40/7.48 % (7738)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_7478 for (2940ds/1670Mi)
% 42.77/7.54 % (7737)Instruction limit reached!
% 42.77/7.54 % (7737)------------------------------
% 42.77/7.54 % (7737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.77/7.54 % (7737)Termination reason: Unknown
% 42.77/7.54 % (7737)Termination phase: Saturation
% 42.77/7.54
% 42.77/7.54 % (7737)Memory used [KB]: 7164
% 42.77/7.54 % (7737)Time elapsed: 0.208 s
% 42.77/7.54 % (7737)Instructions burned: 433 (million)
% 42.77/7.54 % (7737)------------------------------
% 42.77/7.54 % (7737)------------------------------
% 42.77/7.55 % (7739)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_7478 for (2939ds/90Mi)
% 43.29/7.60 % (7739)Instruction limit reached!
% 43.29/7.60 % (7739)------------------------------
% 43.29/7.60 % (7739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.29/7.60 % (7739)Termination reason: Unknown
% 43.29/7.60 % (7739)Termination phase: Saturation
% 43.29/7.60
% 43.29/7.60 % (7739)Memory used [KB]: 6140
% 43.29/7.60 % (7739)Time elapsed: 0.047 s
% 43.29/7.60 % (7739)Instructions burned: 90 (million)
% 43.29/7.60 % (7739)------------------------------
% 43.29/7.60 % (7739)------------------------------
% 43.29/7.62 % (7740)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_7478 for (2939ds/346Mi)
% 43.29/7.68 % (7736)Instruction limit reached!
% 43.29/7.68 % (7736)------------------------------
% 43.29/7.68 % (7736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.29/7.68 % (7736)Termination reason: Unknown
% 43.29/7.68 % (7736)Termination phase: Saturation
% 43.29/7.68
% 43.29/7.68 % (7736)Memory used [KB]: 8059
% 43.29/7.68 % (7736)Time elapsed: 0.402 s
% 43.29/7.68 % (7736)Instructions burned: 784 (million)
% 43.29/7.68 % (7736)------------------------------
% 43.29/7.68 % (7736)------------------------------
% 44.07/7.70 % (7741)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_7478 for (2938ds/401Mi)
% 44.07/7.76 % (7740)Instruction limit reached!
% 44.07/7.76 % (7740)------------------------------
% 44.07/7.76 % (7740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.07/7.76 % (7740)Termination reason: Unknown
% 44.07/7.76 % (7740)Termination phase: Saturation
% 44.07/7.76
% 44.07/7.76 % (7740)Memory used [KB]: 6140
% 44.07/7.76 % (7740)Time elapsed: 0.149 s
% 44.07/7.76 % (7740)Instructions burned: 346 (million)
% 44.07/7.76 % (7740)------------------------------
% 44.07/7.76 % (7740)------------------------------
% 44.07/7.78 % (7742)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_7478 for (2937ds/6454Mi)
% 44.54/7.89 % (7741)Instruction limit reached!
% 44.54/7.89 % (7741)------------------------------
% 44.54/7.89 % (7741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.54/7.89 % (7741)Termination reason: Unknown
% 44.54/7.89 % (7741)Termination phase: Saturation
% 44.54/7.89
% 44.54/7.89 % (7741)Memory used [KB]: 6652
% 44.54/7.89 % (7741)Time elapsed: 0.195 s
% 44.54/7.89 % (7741)Instructions burned: 402 (million)
% 44.54/7.89 % (7741)------------------------------
% 44.54/7.89 % (7741)------------------------------
% 45.05/7.91 % (7743)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_7478 for (2936ds/283Mi)
% 45.05/7.98 % (7734)Instruction limit reached!
% 45.05/7.98 % (7734)------------------------------
% 45.05/7.98 % (7734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.05/7.98 % (7734)Termination reason: Unknown
% 45.05/7.98 % (7734)Termination phase: Saturation
% 45.05/7.98
% 45.05/7.98 % (7734)Memory used [KB]: 7675
% 45.05/7.98 % (7734)Time elapsed: 0.987 s
% 45.05/7.98 % (7734)Instructions burned: 1979 (million)
% 45.05/7.98 % (7734)------------------------------
% 45.05/7.98 % (7734)------------------------------
% 45.05/8.00 % (7744)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_7478 for (2935ds/865Mi)
% 45.05/8.01 % (7725)Instruction limit reached!
% 45.05/8.01 % (7725)------------------------------
% 45.05/8.01 % (7725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.05/8.01 % (7725)Termination reason: Unknown
% 45.05/8.01 % (7725)Termination phase: Saturation
% 45.05/8.01
% 45.05/8.01 % (7725)Memory used [KB]: 11513
% 45.05/8.01 % (7725)Time elapsed: 1.625 s
% 45.05/8.01 % (7725)Instructions burned: 3373 (million)
% 45.05/8.01 % (7725)------------------------------
% 45.05/8.01 % (7725)------------------------------
% 47.38/8.03 % (7745)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_7478 for (2935ds/4528Mi)
% 47.38/8.05 % (7745)Refutation not found, incomplete strategy
% 47.38/8.05 % (7745)------------------------------
% 47.38/8.05 % (7745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.38/8.05 % (7745)Termination reason: Refutation not found, incomplete strategy
% 47.38/8.05
% 47.38/8.05
% 47.38/8.05 % (7745)Memory used [KB]: 1279
% 47.38/8.05 % (7745)Time elapsed: 0.017 s
% 47.38/8.05 % (7745)Instructions burned: 31 (million)
% 47.38/8.05 % (7745)------------------------------
% 47.38/8.05 % (7745)------------------------------
% 47.38/8.05 % (7743)Instruction limit reached!
% 47.38/8.05 % (7743)------------------------------
% 47.38/8.05 % (7743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.38/8.05 % (7743)Termination reason: Unknown
% 47.38/8.05 % (7743)Termination phase: Saturation
% 47.38/8.05
% 47.38/8.05 % (7743)Memory used [KB]: 6780
% 47.38/8.05 % (7743)Time elapsed: 0.141 s
% 47.38/8.05 % (7743)Instructions burned: 284 (million)
% 47.38/8.05 % (7743)------------------------------
% 47.38/8.05 % (7743)------------------------------
% 47.38/8.06 % (7746)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_7478 for (2934ds/1001Mi)
% 47.38/8.07 % (7747)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_7478 for (2934ds/102Mi)
% 47.38/8.12 % (7747)Instruction limit reached!
% 47.38/8.12 % (7747)------------------------------
% 47.38/8.12 % (7747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.38/8.12 % (7747)Termination reason: Unknown
% 47.38/8.12 % (7747)Termination phase: Saturation
% 47.38/8.12
% 47.38/8.12 % (7747)Memory used [KB]: 6012
% 47.38/8.12 % (7747)Time elapsed: 0.051 s
% 47.38/8.12 % (7747)Instructions burned: 102 (million)
% 47.38/8.12 % (7747)------------------------------
% 47.38/8.12 % (7747)------------------------------
% 48.05/8.13 % (7748)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_7478 for (2934ds/952Mi)
% 48.05/8.18 % (7738)Instruction limit reached!
% 48.05/8.18 % (7738)------------------------------
% 48.05/8.18 % (7738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.05/8.18 % (7738)Termination reason: Unknown
% 48.05/8.18 % (7738)Termination phase: Saturation
% 48.05/8.18
% 48.05/8.18 % (7738)Memory used [KB]: 7291
% 48.05/8.18 % (7738)Time elapsed: 0.701 s
% 48.05/8.18 % (7738)Instructions burned: 1671 (million)
% 48.05/8.18 % (7738)------------------------------
% 48.05/8.18 % (7738)------------------------------
% 48.05/8.20 % (7749)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_7478 for (2933ds/578Mi)
% 48.38/8.28 % (7710)Instruction limit reached!
% 48.38/8.28 % (7710)------------------------------
% 48.38/8.28 % (7710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.38/8.28 % (7710)Termination reason: Unknown
% 48.38/8.28 % (7710)Termination phase: Saturation
% 48.38/8.28
% 48.38/8.28 % (7710)Memory used [KB]: 14583
% 48.38/8.28 % (7710)Time elapsed: 2.691 s
% 48.38/8.28 % (7710)Instructions burned: 5412 (million)
% 48.38/8.28 % (7710)------------------------------
% 48.38/8.28 % (7710)------------------------------
% 48.38/8.29 % (7750)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_7478 for (2932ds/643Mi)
% 48.78/8.39 % (7698)Instruction limit reached!
% 48.78/8.39 % (7698)------------------------------
% 48.78/8.39 % (7698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.78/8.39 % (7698)Termination reason: Unknown
% 48.78/8.39 % (7698)Termination phase: Saturation
% 48.78/8.39
% 48.78/8.39 % (7698)Memory used [KB]: 21748
% 48.78/8.39 % (7698)Time elapsed: 4.231 s
% 48.78/8.39 % (7698)Instructions burned: 8251 (million)
% 48.78/8.39 % (7698)------------------------------
% 48.78/8.39 % (7698)------------------------------
% 44.86/8.41 % (7751)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_7478 for (2931ds/865Mi)
% 44.86/8.44 % (7744)Instruction limit reached!
% 44.86/8.44 % (7744)------------------------------
% 44.86/8.44 % (7744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.86/8.44 % (7744)Termination reason: Unknown
% 44.86/8.44 % (7744)Termination phase: Saturation
% 44.86/8.44
% 44.86/8.44 % (7744)Memory used [KB]: 7291
% 44.86/8.44 % (7744)Time elapsed: 0.438 s
% 44.86/8.44 % (7744)Instructions burned: 866 (million)
% 44.86/8.44 % (7744)------------------------------
% 44.86/8.44 % (7744)------------------------------
% 44.86/8.45 % (7752)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_7478 for (2931ds/1174Mi)
% 44.86/8.47 % (7749)Instruction limit reached!
% 44.86/8.47 % (7749)------------------------------
% 44.86/8.47 % (7749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.86/8.47 % (7749)Termination reason: Unknown
% 44.86/8.47 % (7749)Termination phase: Saturation
% 44.86/8.47
% 44.86/8.47 % (7749)Memory used [KB]: 6268
% 44.86/8.47 % (7749)Time elapsed: 0.280 s
% 44.86/8.47 % (7749)Instructions burned: 579 (million)
% 44.86/8.47 % (7749)------------------------------
% 44.86/8.47 % (7749)------------------------------
% 44.86/8.48 % (7751)Refutation not found, incomplete strategy
% 44.86/8.48 % (7751)------------------------------
% 44.86/8.48 % (7751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.86/8.48 % (7751)Termination reason: Refutation not found, incomplete strategy
% 44.86/8.48
% 44.86/8.48
% 44.86/8.48 % (7751)Memory used [KB]: 5756
% 44.86/8.48 % (7751)Time elapsed: 0.091 s
% 44.86/8.48 % (7751)Instructions burned: 150 (million)
% 44.86/8.48 % (7751)------------------------------
% 44.86/8.48 % (7751)------------------------------
% 44.86/8.49 % (7753)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_7478 for (2930ds/644Mi)
% 49.61/8.50 % (7754)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_7478 for (2930ds/1201Mi)
% 49.61/8.55 % (7746)Instruction limit reached!
% 49.61/8.55 % (7746)------------------------------
% 49.61/8.55 % (7746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.61/8.55 % (7746)Termination reason: Unknown
% 49.61/8.55 % (7746)Termination phase: Saturation
% 49.61/8.55
% 49.61/8.55 % (7746)Memory used [KB]: 10106
% 49.61/8.55 % (7746)Time elapsed: 0.494 s
% 49.61/8.55 % (7746)Instructions burned: 1002 (million)
% 49.61/8.55 % (7746)------------------------------
% 49.61/8.55 % (7746)------------------------------
% 49.61/8.56 % (7750)Instruction limit reached!
% 49.61/8.56 % (7750)------------------------------
% 49.61/8.56 % (7750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.61/8.56 % (7750)Termination reason: Unknown
% 49.61/8.56 % (7750)Termination phase: Saturation
% 49.61/8.56
% 49.61/8.56 % (7750)Memory used [KB]: 6524
% 49.61/8.56 % (7750)Time elapsed: 0.263 s
% 49.61/8.56 % (7750)Instructions burned: 644 (million)
% 49.61/8.56 % (7750)------------------------------
% 49.61/8.56 % (7750)------------------------------
% 49.61/8.57 % (7755)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_7478 for (2929ds/1046Mi)
% 49.61/8.57 % (7756)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_7478 for (2929ds/222Mi)
% 50.49/8.60 % (7748)Instruction limit reached!
% 50.49/8.60 % (7748)------------------------------
% 50.49/8.60 % (7748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.49/8.60 % (7748)Termination reason: Unknown
% 50.49/8.60 % (7748)Termination phase: Saturation
% 50.49/8.60
% 50.49/8.60 % (7748)Memory used [KB]: 8187
% 50.49/8.60 % (7748)Time elapsed: 0.466 s
% 50.49/8.60 % (7748)Instructions burned: 952 (million)
% 50.49/8.60 % (7748)------------------------------
% 50.49/8.60 % (7748)------------------------------
% 50.49/8.62 % (7757)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_7478 for (2929ds/68Mi)
% 50.49/8.65 % (7757)Instruction limit reached!
% 50.49/8.65 % (7757)------------------------------
% 50.49/8.65 % (7757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.49/8.65 % (7757)Termination reason: Unknown
% 50.49/8.65 % (7757)Termination phase: Saturation
% 50.49/8.65
% 50.49/8.65 % (7757)Memory used [KB]: 6012
% 50.49/8.65 % (7757)Time elapsed: 0.034 s
% 50.49/8.65 % (7757)Instructions burned: 68 (million)
% 50.49/8.65 % (7757)------------------------------
% 50.49/8.65 % (7757)------------------------------
% 50.49/8.66 % (7758)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_7478 for (2928ds/454Mi)
% 50.49/8.67 % (7756)Instruction limit reached!
% 50.49/8.67 % (7756)------------------------------
% 50.49/8.67 % (7756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.49/8.67 % (7756)Termination reason: Unknown
% 50.49/8.67 % (7756)Termination phase: Saturation
% 50.49/8.67
% 50.49/8.67 % (7756)Memory used [KB]: 6012
% 50.49/8.67 % (7756)Time elapsed: 0.096 s
% 50.49/8.67 % (7756)Instructions burned: 223 (million)
% 50.49/8.67 % (7756)------------------------------
% 50.49/8.67 % (7756)------------------------------
% 50.49/8.68 % (7759)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_7478 for (2928ds/360Mi)
% 51.33/8.82 % (7753)Instruction limit reached!
% 51.33/8.82 % (7753)------------------------------
% 51.33/8.82 % (7753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.33/8.82 % (7753)Termination reason: Unknown
% 51.33/8.82 % (7753)Termination phase: Saturation
% 51.33/8.82
% 51.33/8.82 % (7753)Memory used [KB]: 6908
% 51.33/8.82 % (7753)Time elapsed: 0.347 s
% 51.33/8.82 % (7753)Instructions burned: 644 (million)
% 51.33/8.82 % (7753)------------------------------
% 51.33/8.82 % (7753)------------------------------
% 51.33/8.83 % (7759)Instruction limit reached!
% 51.33/8.83 % (7759)------------------------------
% 51.33/8.83 % (7759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.33/8.83 % (7759)Termination reason: Unknown
% 51.33/8.83 % (7759)Termination phase: Saturation
% 51.33/8.83
% 51.33/8.83 % (7759)Memory used [KB]: 6012
% 51.33/8.83 % (7759)Time elapsed: 0.143 s
% 51.33/8.83 % (7759)Instructions burned: 362 (million)
% 51.33/8.83 % (7759)------------------------------
% 51.33/8.83 % (7759)------------------------------
% 51.33/8.83 % (7760)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_7478 for (2927ds/157Mi)
% 51.33/8.84 % (7761)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_7478 for (2926ds/5061Mi)
% 51.33/8.85 % (7758)Instruction limit reached!
% 51.33/8.85 % (7758)------------------------------
% 51.33/8.85 % (7758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.33/8.85 % (7758)Termination reason: Unknown
% 51.33/8.85 % (7758)Termination phase: Saturation
% 51.33/8.85
% 51.33/8.85 % (7758)Memory used [KB]: 10874
% 51.33/8.85 % (7758)Time elapsed: 0.190 s
% 51.33/8.85 % (7758)Instructions burned: 454 (million)
% 51.33/8.85 % (7758)------------------------------
% 51.33/8.85 % (7758)------------------------------
% 51.33/8.87 % (7762)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_7478 for (2926ds/2401Mi)
% 52.13/8.91 % (7760)Instruction limit reached!
% 52.13/8.91 % (7760)------------------------------
% 52.13/8.91 % (7760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.13/8.91 % (7760)Termination reason: Unknown
% 52.13/8.91 % (7760)Termination phase: Saturation
% 52.13/8.91
% 52.13/8.91 % (7760)Memory used [KB]: 6140
% 52.13/8.91 % (7760)Time elapsed: 0.077 s
% 52.13/8.91 % (7760)Instructions burned: 158 (million)
% 52.13/8.91 % (7760)------------------------------
% 52.13/8.91 % (7760)------------------------------
% 52.13/8.93 % (7763)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_7478 for (2926ds/5798Mi)
% 54.34/9.03 % (7752)Instruction limit reached!
% 54.34/9.03 % (7752)------------------------------
% 54.34/9.03 % (7752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.34/9.03 % (7752)Termination reason: Unknown
% 54.34/9.03 % (7752)Termination phase: Saturation
% 54.34/9.03
% 54.34/9.03 % (7752)Memory used [KB]: 7419
% 54.34/9.03 % (7752)Time elapsed: 0.604 s
% 54.34/9.03 % (7752)Instructions burned: 1175 (million)
% 54.34/9.03 % (7752)------------------------------
% 54.34/9.03 % (7752)------------------------------
% 54.34/9.05 % (7764)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_7478 for (2924ds/346Mi)
% 54.34/9.09 % (7755)Instruction limit reached!
% 54.34/9.09 % (7755)------------------------------
% 54.34/9.09 % (7755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.34/9.09 % (7755)Termination reason: Unknown
% 54.34/9.09 % (7755)Termination phase: Saturation
% 54.34/9.09
% 54.34/9.09 % (7755)Memory used [KB]: 8187
% 54.34/9.09 % (7755)Time elapsed: 0.541 s
% 54.34/9.09 % (7755)Instructions burned: 1047 (million)
% 54.34/9.09 % (7755)------------------------------
% 54.34/9.09 % (7755)------------------------------
% 54.34/9.11 % (7754)Instruction limit reached!
% 54.34/9.11 % (7754)------------------------------
% 54.34/9.11 % (7754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.34/9.11 % (7754)Termination reason: Unknown
% 54.34/9.11 % (7754)Termination phase: Saturation
% 54.34/9.11
% 54.34/9.11 % (7754)Memory used [KB]: 8187
% 54.34/9.11 % (7754)Time elapsed: 0.629 s
% 54.34/9.11 % (7754)Instructions burned: 1201 (million)
% 54.34/9.11 % (7754)------------------------------
% 54.34/9.11 % (7754)------------------------------
% 54.34/9.11 % (7765)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_7478 for (2924ds/1321Mi)
% 54.34/9.12 % (7766)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_7478 for (2924ds/1312Mi)
% 54.98/9.14 % (7765)Refutation not found, incomplete strategy
% 54.98/9.14 % (7765)------------------------------
% 54.98/9.14 % (7765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.98/9.14 % (7765)Termination reason: Refutation not found, incomplete strategy
% 54.98/9.14
% 54.98/9.14
% 54.98/9.14 % (7765)Memory used [KB]: 1791
% 54.98/9.14 % (7765)Time elapsed: 0.031 s
% 54.98/9.14 % (7765)Instructions burned: 61 (million)
% 54.98/9.14 % (7765)------------------------------
% 54.98/9.14 % (7765)------------------------------
% 54.98/9.16 % (7767)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_7478 for (2923ds/672Mi)
% 54.98/9.19 % (7764)Instruction limit reached!
% 54.98/9.19 % (7764)------------------------------
% 54.98/9.19 % (7764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.98/9.19 % (7764)Termination reason: Unknown
% 54.98/9.19 % (7764)Termination phase: Saturation
% 54.98/9.19
% 54.98/9.19 % (7764)Memory used [KB]: 6140
% 54.98/9.19 % (7764)Time elapsed: 0.139 s
% 54.98/9.19 % (7764)Instructions burned: 347 (million)
% 54.98/9.19 % (7764)------------------------------
% 54.98/9.19 % (7764)------------------------------
% 55.45/9.20 % (7768)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_7478 for (2923ds/1897Mi)
% 56.26/9.48 % (7767)First to succeed.
% 56.26/9.48 % (7767)Refutation found. Thanks to Tanya!
% 56.26/9.48 % SZS status Theorem for DTF2THF_7478
% 56.26/9.48 % SZS output start Proof for DTF2THF_7478
% 56.26/9.48 thf(func_def_0, type, in: $i > $i > $o).
% 56.26/9.48 thf(func_def_1, type, exu: ($i > $o) > $o).
% 56.26/9.48 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 56.26/9.48 thf(func_def_8, type, powerset: $i > $i).
% 56.26/9.48 thf(func_def_10, type, setunion: $i > $i).
% 56.26/9.48 thf(func_def_19, type, descr: ($i > $o) > $i).
% 56.26/9.48 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 56.26/9.48 thf(func_def_26, type, prop2set: $o > $i).
% 56.26/9.48 thf(func_def_36, type, nonempty: $i > $o).
% 56.26/9.48 thf(func_def_57, type, sP0: $i > $i > $o).
% 56.26/9.48 thf(func_def_58, type, sP1: $i > $o).
% 56.26/9.48 thf(func_def_59, type, sP2: $i > $i > $o).
% 56.26/9.48 thf(func_def_60, type, sP3: $i > $i > $o).
% 56.26/9.48 thf(func_def_64, type, sK7: $i > $o).
% 56.26/9.48 thf(func_def_68, type, sK11: $i > $i).
% 56.26/9.48 thf(func_def_71, type, sK14: $i > $i > $i).
% 56.26/9.48 thf(func_def_77, type, sK20: $i > $i).
% 56.26/9.48 thf(func_def_80, type, sK23: $i > $i).
% 56.26/9.48 thf(func_def_83, type, sK26: $i > $i).
% 56.26/9.48 thf(func_def_84, type, sK27: ($i > $o) > $i).
% 56.26/9.48 thf(func_def_85, type, sK28: $i > $o).
% 56.26/9.48 thf(func_def_86, type, sK29: $i > $i).
% 56.26/9.48 thf(func_def_87, type, sK30: $i > $o).
% 56.26/9.48 thf(func_def_91, type, sK34: $i > $i).
% 56.26/9.48 thf(func_def_105, type, sK48: $i > $i > $i).
% 56.26/9.48 thf(func_def_106, type, sK49: ($i > $o) > $i).
% 56.26/9.48 thf(func_def_107, type, sK50: $i > $o).
% 56.26/9.48 thf(func_def_109, type, sK52: $i > $i > $i).
% 56.26/9.48 thf(func_def_110, type, sK53: $i > $i > $i).
% 56.26/9.48 thf(func_def_113, type, sK56: $i > $o).
% 56.26/9.48 thf(func_def_117, type, sK60: $i > $i > $i).
% 56.26/9.48 thf(func_def_118, type, sK61: $i > $i > $i).
% 56.26/9.48 thf(func_def_119, type, sK62: $i > $i > $i).
% 56.26/9.48 thf(func_def_120, type, sK63: $i > $i > $i).
% 56.26/9.48 thf(func_def_121, type, sK64: $i > $i > $i).
% 56.26/9.48 thf(func_def_122, type, sK65: $i > $i > $i > $i).
% 56.26/9.48 thf(func_def_123, type, sK66: $i > $i).
% 56.26/9.48 thf(func_def_124, type, sK67: $i > $i).
% 56.26/9.48 thf(func_def_125, type, sK68: $i > $i).
% 56.26/9.48 thf(func_def_126, type, sK69: $i > $i).
% 56.26/9.48 thf(func_def_127, type, sK70: $i > $i > $i > $i).
% 56.26/9.48 thf(func_def_128, type, sK71: $i > $i > $i > $i).
% 56.26/9.48 thf(func_def_129, type, sK72: $i > $i > $i).
% 56.26/9.48 thf(func_def_130, type, sK73: $i > $i > $i).
% 56.26/9.48 thf(func_def_131, type, sK74: $i > $i > $i).
% 56.26/9.48 thf(func_def_132, type, sK75: $i > $i).
% 56.26/9.48 thf(func_def_134, type, sK77: $i > $i).
% 56.26/9.48 thf(func_def_135, type, sK78: $i > $i).
% 56.26/9.48 thf(func_def_139, type, sK82: $i > $i > $o).
% 56.26/9.48 thf(func_def_141, type, sK84: $i > $i).
% 56.26/9.48 thf(func_def_142, type, sK85: $i > $i).
% 56.26/9.48 thf(func_def_143, type, sK86: $i > ($i > $i > $o) > $i).
% 56.26/9.48 thf(func_def_144, type, sK87: $i > $i > ($i > $i > $o) > $i).
% 56.26/9.48 thf(func_def_145, type, sK88: $i > ($i > $i > $o) > $i).
% 56.26/9.48 thf(func_def_147, type, sK90: $i > $o).
% 56.26/9.48 thf(func_def_153, type, sK96: $i > $i).
% 56.26/9.48 thf(func_def_157, type, sK100: $i > $o).
% 56.26/9.48 thf(func_def_159, type, ph102: !>[X0: $tType]:(X0)).
% 56.26/9.48 thf(f2009,plain,(
% 56.26/9.48 $false),
% 56.26/9.48 inference(avatar_sat_refutation,[status(thm)],[f1715,f2008])).
% 56.26/9.48 thf(f2008,plain,(
% 56.26/9.48 spl101_15),
% 56.26/9.48 inference(avatar_contradiction_clause,[status(thm)],[f2007])).
% 56.26/9.48 thf(f2007,plain,(
% 56.26/9.48 $false | spl101_15),
% 56.26/9.48 inference(subsumption_resolution,[status(thm)],[f2004,f1710])).
% 56.26/9.48 thf(f1710,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) != $false)),
% 56.26/9.48 inference(backward_demodulation,[status(thm)],[f1660,f1709])).
% 56.26/9.48 thf(f1709,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) = $false)),
% 56.26/9.48 inference(subsumption_resolution,[status(thm)],[f1693,f1326])).
% 56.26/9.48 thf(f1326,plain,(
% 56.26/9.48 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (((in @ X3 @ (dsetconstr @ X4 @ X5)) = $false) | ($true = (in @ X3 @ X4))) )),
% 56.26/9.48 inference(trivial_inequality_removal,[status(thm)],[f1314])).
% 56.26/9.48 thf(f1314,plain,(
% 56.26/9.48 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true = (in @ X3 @ X4)) | ($true != $true) | ((in @ X3 @ (dsetconstr @ X4 @ X5)) = $false)) )),
% 56.26/9.48 inference(fool_paramodulation,[status(thm)],[f677])).
% 56.26/9.48 thf(f677,plain,(
% 56.26/9.48 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (((in @ X3 @ (dsetconstr @ X4 @ X5)) != $true) | ($true = (in @ X3 @ X4))) )),
% 56.26/9.48 inference(beta_eta_normalization,[status(thm)],[f676])).
% 56.26/9.48 thf(f676,plain,(
% 56.26/9.48 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (in @ X3 @ X4))) )),
% 56.26/9.48 inference(trivial_inequality_removal,[status(thm)],[f526])).
% 56.26/9.48 thf(f526,plain,(
% 56.26/9.48 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != $true) | ($true = (in @ X3 @ X4)) | ($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0)))))) )),
% 56.26/9.48 inference(definition_unfolding,[status(thm)],[f333,f445])).
% 56.26/9.48 thf(f445,plain,(
% 56.26/9.48 (dsetconstrEL = $true)),
% 56.26/9.48 inference(cnf_transformation,[status(thm)],[f265])).
% 56.26/9.48 thf(f265,plain,(
% 56.26/9.48 (exuE3e = $true) & (notinemptyset = $true) & (wellorderingAx = $true) & (descrp = $true) & (dsetconstrER = $true) & (emptyinunitempty = $true) & (dsetconstrEL = $true) & (emptysetAx = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (emptysetE = $true) & (setext = $true) & (powersetAx = $true) & (emptyI = $true) & (setadjoinIR = $true) & (nonemptyE1 = $true) & (omegaSAx = $true) & (setadjoinE = $true) & (foundationAx = $true) & (exuE1 = $true) & (setadjoinAx = $true) & (omega0Ax = $true) & (emptysetimpfalse = $true) & (setadjoinOr = $true) & (setextAx = $true) & (nonemptyI = $true) & (omegaIndAx = $true) & (setbeta = $true) & (setunionAx = $true) & (dsetconstrI = $true) & (prop2setE = $true) & (replAx = $true) & (noeltsimpempty = $true) & (sK59 != (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true))))),
% 56.26/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f151,f264])).
% 56.26/9.48 thf(f264,plain,(
% 56.26/9.48 ? [X0 : $i] : ((dsetconstr @ X0 @ (^[Y0 : $i]: ($true))) != X0) => (sK59 != (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true))))),
% 56.26/9.48 introduced(definition,[],[choice_axiom])).
% 56.26/9.48 thf(f151,plain,(
% 56.26/9.48 (exuE3e = $true) & (notinemptyset = $true) & (wellorderingAx = $true) & (descrp = $true) & (dsetconstrER = $true) & (emptyinunitempty = $true) & (dsetconstrEL = $true) & (emptysetAx = $true) & (setadjoinIL = $true) & (nonemptyI1 = $true) & (emptysetE = $true) & (setext = $true) & (powersetAx = $true) & (emptyI = $true) & (setadjoinIR = $true) & (nonemptyE1 = $true) & (omegaSAx = $true) & (setadjoinE = $true) & (foundationAx = $true) & (exuE1 = $true) & (setadjoinAx = $true) & (omega0Ax = $true) & (emptysetimpfalse = $true) & (setadjoinOr = $true) & (setextAx = $true) & (nonemptyI = $true) & (omegaIndAx = $true) & (setbeta = $true) & (setunionAx = $true) & (dsetconstrI = $true) & (prop2setE = $true) & (replAx = $true) & (noeltsimpempty = $true) & ? [X0 : $i] : ((dsetconstr @ X0 @ (^[Y0 : $i]: ($true))) != X0)),
% 56.26/9.48 inference(flattening,[status(thm)],[f150])).
% 56.26/9.48 thf(f150,plain,(
% 56.26/9.48 ((((((((((((((((((((((((((((((((? [X0 : $i] : ((dsetconstr @ X0 @ (^[Y0 : $i]: ($true))) != X0) & (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)),
% 56.26/9.48 inference(ennf_transformation,[status(thm)],[f105])).
% 56.26/9.48 thf(f105,plain,(
% 56.26/9.48 ~((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) => ! [X0 : $i] : ((dsetconstr @ X0 @ (^[Y0 : $i]: ($true))) = X0))))))))))))))))))))))))))))))))))),
% 56.26/9.48 inference(fool_elimination,[status(thm)],[f104])).
% 56.26/9.48 thf(f104,plain,(
% 56.26/9.48 ~(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 => ! [X0 : $i] : ((dsetconstr @ X0 @ (^[X1 : $i] : ($true))) = X0))))))))))))))))))))))))))))))))))),
% 56.26/9.48 inference(rectify,[status(thm)],[f38])).
% 56.26/9.48 thf(f38,negated_conjecture,(
% 56.26/9.48 ~(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 => ! [X3 : $i] : ((dsetconstr @ X3 @ (^[X1 : $i] : ($true))) = X3))))))))))))))))))))))))))))))))))),
% 56.26/9.48 inference(negated_conjecture,[status(cth)],[f37])).
% 56.26/9.48 thf(f37,conjecture,(
% 56.26/9.48 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 => ! [X3 : $i] : ((dsetconstr @ X3 @ (^[X1 : $i] : ($true))) = X3)))))))))))))))))))))))))))))))))),
% 56.26/9.48 file('/export/starexec/sandbox/tmp/tmp.rQOsFAri2i/DTF2THF_7478.p',setoftrueEq)).
% 56.26/9.48 thf(f333,plain,(
% 56.26/9.48 ( ! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (in @ X3 @ X4)) | (dsetconstrEL != $true)) )),
% 56.26/9.48 inference(cnf_transformation,[status(thm)],[f163])).
% 56.26/9.48 thf(f163,plain,(
% 56.26/9.48 ((dsetconstrEL = $true) | (($true = (in @ sK5 @ (dsetconstr @ sK6 @ (^[Y0 : $i]: (sK7 @ Y0))))) & ((in @ sK5 @ sK6) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (in @ X3 @ X4))) | (dsetconstrEL != $true))),
% 56.26/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f161,f162])).
% 56.26/9.48 thf(f162,plain,(
% 56.26/9.48 ? [X0 : $i,X1 : $i,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) & ((in @ X0 @ X1) != $true)) => (($true = (in @ sK5 @ (dsetconstr @ sK6 @ (^[Y0 : $i]: (sK7 @ Y0))))) & ((in @ sK5 @ sK6) != $true))),
% 56.26/9.48 introduced(definition,[],[choice_axiom])).
% 56.26/9.48 thf(f161,plain,(
% 56.26/9.48 ((dsetconstrEL = $true) | ? [X0 : $i,X1 : $i,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) & ((in @ X0 @ X1) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i > $o] : (($true != (in @ X3 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X5 @ Y0))))) | ($true = (in @ X3 @ X4))) | (dsetconstrEL != $true))),
% 56.26/9.48 inference(rectify,[status(thm)],[f160])).
% 56.26/9.48 thf(f160,plain,(
% 56.26/9.48 ((dsetconstrEL = $true) | ? [X0 : $i,X1 : $i,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) & ((in @ X0 @ X1) != $true))) & (! [X0 : $i,X1 : $i,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) != $true) | ((in @ X0 @ X1) = $true)) | (dsetconstrEL != $true))),
% 56.26/9.48 inference(nnf_transformation,[status(thm)],[f132])).
% 56.26/9.48 thf(f132,plain,(
% 56.26/9.48 (dsetconstrEL = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) != $true) | ((in @ X0 @ X1) = $true))),
% 56.26/9.48 inference(ennf_transformation,[status(thm)],[f67])).
% 56.26/9.48 thf(f67,plain,(
% 56.26/9.48 ! [X0 : $i,X1 : $i,X2 : $i > $o] : (((in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) => ((in @ X0 @ X1) = $true)) <=> (dsetconstrEL = $true)),
% 56.26/9.48 inference(fool_elimination,[status(thm)],[f66])).
% 56.26/9.48 thf(f66,plain,(
% 56.26/9.48 (dsetconstrEL = ! [X0 : $i,X1 : $i,X2 : $i > $o] : ((in @ X0 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X2 @ X3)))) => (in @ X0 @ X1)))),
% 56.26/9.48 inference(rectify,[status(thm)],[f15])).
% 56.26/9.48 thf(f15,axiom,(
% 56.26/9.48 (dsetconstrEL = ! [X1 : $i,X3 : $i,X0 : $i > $o] : ((in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2)))) => (in @ X1 @ X3)))),
% 56.26/9.48 file('/export/starexec/sandbox/tmp/tmp.rQOsFAri2i/DTF2THF_7478.p',dsetconstrEL)).
% 56.26/9.48 thf(f1693,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) = $false) | ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) != $true)),
% 56.26/9.48 inference(fool_paramodulation,[status(thm)],[f1660])).
% 56.26/9.48 thf(f1660,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) != (in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59))),
% 56.26/9.48 inference(extensionality_resolution,[status(thm)],[f662,f418])).
% 56.26/9.48 thf(f418,plain,(
% 56.26/9.48 (sK59 != (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true))))),
% 56.26/9.48 inference(cnf_transformation,[status(thm)],[f265])).
% 56.26/9.48 thf(f662,plain,(
% 56.26/9.48 ( ! [X0 : $i,X1 : $i] : (((in @ (sK14 @ X1 @ X0) @ X0) != (in @ (sK14 @ X1 @ X0) @ X1)) | (X0 = X1)) )),
% 56.26/9.48 inference(trivial_inequality_removal,[status(thm)],[f540])).
% 56.26/9.48 thf(f540,plain,(
% 56.26/9.48 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (X0 = X1) | ((in @ (sK14 @ X1 @ X0) @ X0) != (in @ (sK14 @ X1 @ X0) @ X1))) )),
% 56.26/9.48 inference(definition_unfolding,[status(thm)],[f351,f427])).
% 56.26/9.48 thf(f427,plain,(
% 56.26/9.48 (setextAx = $true)),
% 56.26/9.48 inference(cnf_transformation,[status(thm)],[f265])).
% 56.26/9.48 thf(f351,plain,(
% 56.26/9.48 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | ((in @ (sK14 @ X1 @ X0) @ X0) != (in @ (sK14 @ X1 @ X0) @ X1)) | (setextAx != $true)) )),
% 56.26/9.48 inference(cnf_transformation,[status(thm)],[f179])).
% 56.26/9.48 thf(f179,plain,(
% 56.26/9.48 (! [X0 : $i,X1 : $i] : ((X0 = X1) | ((in @ (sK14 @ X1 @ X0) @ X0) != (in @ (sK14 @ X1 @ X0) @ X1))) | (setextAx != $true)) & ((setextAx = $true) | ((sK16 != sK15) & ! [X5 : $i] : ((in @ X5 @ sK15) = (in @ X5 @ sK16))))),
% 56.26/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f176,f178,f177])).
% 56.26/9.48 thf(f177,plain,(
% 56.26/9.48 ! [X0 : $i,X1 : $i] : (? [X2 : $i] : ((in @ X2 @ X1) != (in @ X2 @ X0)) => ((in @ (sK14 @ X1 @ X0) @ X0) != (in @ (sK14 @ X1 @ X0) @ X1)))),
% 56.26/9.48 introduced(definition,[],[choice_axiom])).
% 56.26/9.48 thf(f178,plain,(
% 56.26/9.48 ? [X3 : $i,X4 : $i] : ((X3 != X4) & ! [X5 : $i] : ((in @ X5 @ X4) = (in @ X5 @ X3))) => ((sK16 != sK15) & ! [X5 : $i] : ((in @ X5 @ sK15) = (in @ X5 @ sK16)))),
% 56.26/9.48 introduced(definition,[],[choice_axiom])).
% 56.26/9.48 thf(f176,plain,(
% 56.26/9.48 (! [X0 : $i,X1 : $i] : ((X0 = X1) | ? [X2 : $i] : ((in @ X2 @ X1) != (in @ X2 @ X0))) | (setextAx != $true)) & ((setextAx = $true) | ? [X3 : $i,X4 : $i] : ((X3 != X4) & ! [X5 : $i] : ((in @ X5 @ X4) = (in @ X5 @ X3))))),
% 56.26/9.48 inference(rectify,[status(thm)],[f175])).
% 56.26/9.48 thf(f175,plain,(
% 56.26/9.48 (! [X0 : $i,X1 : $i] : ((X0 = X1) | ? [X2 : $i] : ((in @ X2 @ X1) != (in @ X2 @ X0))) | (setextAx != $true)) & ((setextAx = $true) | ? [X0 : $i,X1 : $i] : ((X0 != X1) & ! [X2 : $i] : ((in @ X2 @ X1) = (in @ X2 @ X0))))),
% 56.26/9.48 inference(nnf_transformation,[status(thm)],[f144])).
% 56.26/9.48 thf(f144,plain,(
% 56.26/9.48 ! [X0 : $i,X1 : $i] : ((X0 = X1) | ? [X2 : $i] : ((in @ X2 @ X1) != (in @ X2 @ X0))) <=> (setextAx = $true)),
% 56.26/9.48 inference(ennf_transformation,[status(thm)],[f61])).
% 56.26/9.48 thf(f61,plain,(
% 56.26/9.48 ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X1) = (in @ X2 @ X0)) => (X0 = X1)) <=> (setextAx = $true)),
% 56.26/9.48 inference(fool_elimination,[status(thm)],[f60])).
% 56.26/9.48 thf(f60,plain,(
% 56.26/9.48 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) <=> (in @ X2 @ X1)) => (X0 = X1)) = setextAx)),
% 56.26/9.48 inference(rectify,[status(thm)],[f2])).
% 56.26/9.48 thf(f2,axiom,(
% 56.26/9.48 (! [X4 : $i,X3 : $i] : (! [X1 : $i] : ((in @ X1 @ X4) <=> (in @ X1 @ X3)) => (X3 = X4)) = setextAx)),
% 56.26/9.48 file('/export/starexec/sandbox/tmp/tmp.rQOsFAri2i/DTF2THF_7478.p',setextAx)).
% 56.26/9.48 thf(f2004,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) = $false) | spl101_15),
% 56.26/9.48 inference(trivial_inequality_removal,[status(thm)],[f1999])).
% 56.26/9.48 thf(f1999,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) = $false) | ($true != $true) | spl101_15),
% 56.26/9.48 inference(fool_paramodulation,[status(thm)],[f1704])).
% 56.26/9.48 thf(f1704,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) != $true) | spl101_15),
% 56.26/9.48 inference(avatar_component_clause,[status(thm)],[f1702])).
% 56.26/9.48 thf(f1702,definition,(
% 56.26/9.48 spl101_15 <=> ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) = $true)),
% 56.26/9.48 introduced(definition,[new_symbols(naming,[spl101_15])],[avatar_definition])).
% 56.26/9.48 thf(f1715,plain,(
% 56.26/9.48 ~spl101_15),
% 56.26/9.48 inference(avatar_split_clause,[status(thm)],[f1698,f1702])).
% 56.26/9.48 thf(f1698,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) != $true)),
% 56.26/9.48 inference(duplicate_literal_removal,[status(thm)],[f1697])).
% 56.26/9.48 thf(f1697,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) != $true) | ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) != $true)),
% 56.26/9.48 inference(beta_eta_normalization,[status(thm)],[f1694])).
% 56.26/9.48 thf(f1694,plain,(
% 56.26/9.48 ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) != $true) | ((in @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true)))) @ sK59) != ((^[Y0 : $i]: ($true)) @ (sK14 @ sK59 @ (dsetconstr @ sK59 @ (^[Y0 : $i]: ($true))))))),
% 56.26/9.48 inference(superposition,[status(thm)],[f1660,f688])).
% 56.26/9.48 thf(f688,plain,(
% 56.26/9.48 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((X3 @ X4) = (in @ X4 @ (dsetconstr @ X5 @ X3))) | ((in @ X4 @ X5) != $true)) )),
% 56.26/9.48 inference(beta_eta_normalization,[status(thm)],[f687])).
% 56.26/9.48 thf(f687,plain,(
% 56.26/9.48 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((X3 @ X4) = (in @ X4 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X3 @ Y0))))) | ((in @ X4 @ X5) != $true)) )),
% 56.26/9.48 inference(trivial_inequality_removal,[status(thm)],[f564])).
% 56.26/9.48 thf(f564,plain,(
% 56.26/9.48 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X4 @ X5) != $true) | ((X3 @ X4) = (in @ X4 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X3 @ Y0))))) | ($true != $true)) )),
% 56.26/9.48 inference(definition_unfolding,[status(thm)],[f372,f424])).
% 56.26/9.48 thf(f424,plain,(
% 56.26/9.48 (setbeta = $true)),
% 56.26/9.48 inference(cnf_transformation,[status(thm)],[f265])).
% 56.26/9.48 thf(f372,plain,(
% 56.26/9.48 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X4 @ X5) != $true) | ((X3 @ X4) = (in @ X4 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X3 @ Y0))))) | (setbeta != $true)) )),
% 56.26/9.48 inference(cnf_transformation,[status(thm)],[f209])).
% 56.26/9.48 thf(f209,plain,(
% 56.26/9.48 ((setbeta = $true) | (((in @ sK31 @ sK32) = $true) & ((in @ sK31 @ (dsetconstr @ sK32 @ (^[Y0 : $i]: (sK30 @ Y0)))) != (sK30 @ sK31)))) & (! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X4 @ X5) != $true) | ((X3 @ X4) = (in @ X4 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X3 @ Y0)))))) | (setbeta != $true))),
% 56.26/9.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32])],[f207,f208])).
% 56.26/9.48 thf(f208,plain,(
% 56.26/9.48 ? [X0 : $i > $o,X1 : $i,X2 : $i] : (((in @ X1 @ X2) = $true) & ((X0 @ X1) != (in @ X1 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X0 @ Y0)))))) => (((in @ sK31 @ sK32) = $true) & ((in @ sK31 @ (dsetconstr @ sK32 @ (^[Y0 : $i]: (sK30 @ Y0)))) != (sK30 @ sK31)))),
% 56.26/9.48 introduced(definition,[],[choice_axiom])).
% 56.26/9.48 thf(f207,plain,(
% 56.26/9.48 ((setbeta = $true) | ? [X0 : $i > $o,X1 : $i,X2 : $i] : (((in @ X1 @ X2) = $true) & ((X0 @ X1) != (in @ X1 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X0 @ Y0))))))) & (! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X4 @ X5) != $true) | ((X3 @ X4) = (in @ X4 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X3 @ Y0)))))) | (setbeta != $true))),
% 56.26/9.48 inference(rectify,[status(thm)],[f206])).
% 56.26/9.48 thf(f206,plain,(
% 56.26/9.48 ((setbeta = $true) | ? [X0 : $i > $o,X1 : $i,X2 : $i] : (((in @ X1 @ X2) = $true) & ((X0 @ X1) != (in @ X1 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X0 @ Y0))))))) & (! [X0 : $i > $o,X1 : $i,X2 : $i] : (((in @ X1 @ X2) != $true) | ((X0 @ X1) = (in @ X1 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X0 @ Y0)))))) | (setbeta != $true))),
% 56.26/9.48 inference(nnf_transformation,[status(thm)],[f125])).
% 56.26/9.48 thf(f125,plain,(
% 56.26/9.48 (setbeta = $true) <=> ! [X0 : $i > $o,X1 : $i,X2 : $i] : (((in @ X1 @ X2) != $true) | ((X0 @ X1) = (in @ X1 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X0 @ Y0))))))),
% 56.26/9.48 inference(ennf_transformation,[status(thm)],[f71])).
% 56.26/9.48 thf(f71,plain,(
% 56.26/9.48 (setbeta = $true) <=> ! [X0 : $i > $o,X1 : $i,X2 : $i] : (((in @ X1 @ X2) = $true) => ((X0 @ X1) = (in @ X1 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X0 @ Y0))))))),
% 56.26/9.48 inference(fool_elimination,[status(thm)],[f70])).
% 56.26/9.48 thf(f70,plain,(
% 56.26/9.48 (setbeta = ! [X0 : $i > $o,X1 : $i,X2 : $i] : ((in @ X1 @ X2) => ((in @ X1 @ (dsetconstr @ X2 @ (^[X3 : $i] : (X0 @ X3)))) <=> (X0 @ X1))))),
% 56.26/9.48 inference(rectify,[status(thm)],[f27])).
% 56.26/9.48 thf(f27,axiom,(
% 56.26/9.48 (setbeta = ! [X0 : $i > $o,X1 : $i,X3 : $i] : ((in @ X1 @ X3) => ((in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2)))) <=> (X0 @ X1))))),
% 56.26/9.48 file('/export/starexec/sandbox/tmp/tmp.rQOsFAri2i/DTF2THF_7478.p',setbeta)).
% 56.26/9.48 % SZS output end Proof for DTF2THF_7478
% 56.26/9.48 % (7767)------------------------------
% 56.26/9.48 % (7767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.26/9.48 % (7767)Termination reason: Refutation
% 56.26/9.48
% 56.26/9.48 % (7767)Memory used [KB]: 8187
% 56.26/9.48 % (7767)Time elapsed: 0.327 s
% 56.26/9.48 % (7767)Instructions burned: 642 (million)
% 56.26/9.48 % (7767)------------------------------
% 56.26/9.48 % (7767)------------------------------
% 56.26/9.48 % (7575)Success in time 7.957 s
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