%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PHI007^4 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 09:27:40 AM UTC 2026
% Result : Theorem 15.03s 3.34s
% Output : Refutation 15.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 15
% Syntax : Number of formulae : 119 ( 30 unt; 0 typ; 4 def)
% Number of atoms : 883 ( 232 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 1644 ( 131 ~; 155 |; 15 &;1105 @)
% ( 4 <=>; 134 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 314 ( 314 >; 0 *; 0 +; 0 <<)
% Number of symbols : 84 ( 79 usr; 12 con; 0-3 aty)
% ( 84 !!; 16 ??; 0 @@+; 0 @@-)
% Number of variables : 456 ( 247 ^; 199 !; 10 ?; 456 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_7,type,
set_nat: $tType ).
thf(type_def_8,type,
qML_mu: $tType ).
thf(type_def_9,type,
qML_i: $tType ).
thf(type_def_10,type,
set_set_nat: $tType ).
thf(type_def_11,type,
set_set_set_nat: $tType ).
thf(func_def_0,type,
set_set_set_nat: $tType ).
thf(func_def_1,type,
set_set_nat: $tType ).
thf(func_def_2,type,
qML_mu: $tType ).
thf(func_def_3,type,
set_nat: $tType ).
thf(func_def_4,type,
qML_i: $tType ).
thf(func_def_5,type,
nat: $tType ).
thf(func_def_6,type,
equiv_2129914667vp_nat: ( nat > nat > $o ) > $o ).
thf(func_def_7,type,
equiv_235907809et_nat: ( set_nat > set_nat > $o ) > $o ).
thf(func_def_8,type,
inconsistency_G: qML_mu > qML_i > $o ).
thf(func_def_9,type,
incons1905966852QML_mu: qML_mu > qML_i > $o ).
thf(func_def_10,type,
inconsistency_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
thf(func_def_11,type,
incons1389517216QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_12,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_13,type,
ord_le1613022364et_nat: set_set_nat > set_set_nat > $o ).
thf(func_def_14,type,
qML_r: qML_i > qML_i > $o ).
thf(func_def_15,type,
dvd_dvd_nat: nat > nat > $o ).
thf(func_def_16,type,
ball_nat: set_nat > ( nat > $o ) > $o ).
thf(func_def_17,type,
ball_set_nat: set_set_nat > ( set_nat > $o ) > $o ).
thf(func_def_18,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_19,type,
collect_set_nat: ( set_nat > $o ) > set_set_nat ).
thf(func_def_20,type,
collect_set_set_nat: ( set_set_nat > $o ) > set_set_set_nat ).
thf(func_def_21,type,
set_greaterThan_nat: ( nat > nat > $o ) > nat > set_nat ).
thf(func_def_22,type,
member_nat: nat > set_nat > $o ).
thf(func_def_23,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(func_def_24,type,
member_set_set_nat: set_set_nat > set_set_set_nat > $o ).
thf(func_def_39,type,
sK0: set_nat > set_nat > nat ).
thf(func_def_40,type,
sK1: set_set_nat > set_set_nat > set_nat ).
thf(func_def_41,type,
sK2: ( set_nat > set_nat > $o ) > set_set_nat ).
thf(func_def_42,type,
sK3: ( qML_mu > qML_i > $o ) > qML_i > ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_43,type,
sK4: ( qML_mu > qML_i > $o ) > qML_i > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_44,type,
sK5: ( nat > nat > $o ) > set_nat ).
thf(func_def_46,type,
sK7: ( nat > nat > $o ) > nat ).
thf(func_def_47,type,
sK8: ( nat > nat > $o ) > nat ).
thf(func_def_50,type,
sK9: ( nat > nat > $o ) > nat ).
thf(func_def_51,type,
sK10: ( nat > nat > $o ) > nat ).
thf(func_def_52,type,
sK11: ( nat > nat > $o ) > nat ).
thf(func_def_53,type,
sK12: ( nat > nat > $o ) > nat ).
thf(func_def_54,type,
ph13:
!>[X0: $tType] : X0 ).
thf(func_def_55,type,
sK14: ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_56,type,
sK15: ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_57,type,
sK16: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_58,type,
sK17: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_59,type,
sK18: qML_mu ).
thf(func_def_60,type,
sK19: qML_i ).
thf(func_def_61,type,
sK20: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_62,type,
sK21: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_63,type,
sK22: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_64,type,
sK23: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_65,type,
sK24: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_66,type,
sK25: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_67,type,
sK26: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_68,type,
sK27: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_69,type,
sK28: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_70,type,
sK29: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_71,type,
sK30: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_72,type,
sK31: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_73,type,
sK32: qML_mu ).
thf(func_def_74,type,
sK33: qML_i ).
thf(func_def_75,type,
sK34: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_76,type,
sK35: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_77,type,
sK36: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_78,type,
sK37: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_79,type,
sK38: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_80,type,
sK39: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_81,type,
sK40: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_82,type,
sK41: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_83,type,
sK42: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_84,type,
sK43: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_85,type,
sK44: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_86,type,
sK45: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_87,type,
sK46: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_88,type,
sK47: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_89,type,
sK48: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_90,type,
sK49: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_91,type,
sK50: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_92,type,
sK51: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_93,type,
sK52: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(func_def_94,type,
sK53: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_95,type,
sK54: ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).
thf(func_def_96,type,
sK55: ( qML_mu > qML_i > $o ) > qML_i ).
thf(func_def_97,type,
sK56: ( qML_mu > qML_i > $o ) > qML_mu ).
thf(f1819,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f1497,f1510,f1518,f1748,f1817]) ).
thf(f1817,plain,
( spl6_19
| ~ spl6_15 ),
inference(avatar_split_clause,[status(thm)],[f1786,f1495,f1616]) ).
thf(f1616,definition,
( spl6_19
<=> ! [X0: qML_i] :
( ( $false
= ( qML_r @ sK33 @ X0 ) )
| ( $true
!= ( qML_r @ sK33 @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl6_19])],[avatar_definition]) ).
thf(f1495,definition,
( spl6_15
<=> ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( $true
= ( X1 @ ( sK56 @ X1 ) @ ( sK55 @ X1 ) ) )
| ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl6_15])],[avatar_definition]) ).
thf(f1786,plain,
( ! [X0: qML_i] :
( ( $true
!= ( qML_r @ sK33 @ X0 ) )
| ( $false
= ( qML_r @ sK33 @ X0 ) ) )
| ~ spl6_15 ),
inference(trivial_inequality_removal,[status(thm)],[f1785]) ).
thf(f1785,plain,
( ! [X0: qML_i] :
( ( $false
= ( qML_r @ sK33 @ X0 ) )
| ( $true
!= ( qML_r @ sK33 @ X0 ) )
| ( $true = $false ) )
| ~ spl6_15 ),
inference(beta_eta_normalization,[status(thm)],[f1769]) ).
thf(f1769,plain,
( ! [X0: qML_i] :
( ( $true
!= ( qML_r @ sK33 @ X0 ) )
| ( ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ ( sK54
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X0 )
@ X0 )
= $true )
| ( $false
= ( qML_r @ sK33 @ X0 ) ) )
| ~ spl6_15 ),
inference(equality_factoring,[status(thm)],[f1496]) ).
thf(f1496,plain,
( ! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( $true
= ( X1 @ ( sK56 @ X1 ) @ ( sK55 @ X1 ) ) )
| ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true )
| ( $false
= ( qML_r @ sK33 @ X2 ) ) )
| ~ spl6_15 ),
inference(avatar_component_clause,[status(thm)],[f1495]) ).
thf(f1748,plain,
~ spl6_19,
inference(avatar_contradiction_clause,[status(thm)],[f1747]) ).
thf(f1747,plain,
( $false
| ~ spl6_19 ),
inference(subsumption_resolution,[status(thm)],[f1740,f136]) ).
thf(f136,plain,
! [X0: qML_i] :
( ( qML_r @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f37]) ).
thf(f37,plain,
! [X0: qML_i] :
( ( qML_r @ X0 @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f36]) ).
thf(f36,plain,
! [X0: qML_i] : ( qML_r @ X0 @ X0 ),
inference(rectify,[status(thm)],[f10]) ).
thf(f10,axiom,
! [X11: qML_i] : ( qML_r @ X11 @ X11 ),
file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_9_ref) ).
thf(f1740,plain,
( ( $true
!= ( qML_r @ sK33 @ sK33 ) )
| ~ spl6_19 ),
inference(trivial_inequality_removal,[status(thm)],[f1729]) ).
thf(f1729,plain,
( ( $true = $false )
| ( $true
!= ( qML_r @ sK33 @ sK33 ) )
| ~ spl6_19 ),
inference(superposition,[status(thm)],[f136,f1617]) ).
thf(f1617,plain,
( ! [X0: qML_i] :
( ( $false
= ( qML_r @ sK33 @ X0 ) )
| ( $true
!= ( qML_r @ sK33 @ X0 ) ) )
| ~ spl6_19 ),
inference(avatar_component_clause,[status(thm)],[f1616]) ).
thf(f1518,plain,
~ spl6_13,
inference(avatar_contradiction_clause,[status(thm)],[f1517]) ).
thf(f1517,plain,
( $false
| ~ spl6_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1512]) ).
thf(f1512,plain,
( ( $true != $true )
| ~ spl6_13 ),
inference(superposition,[status(thm)],[f1489,f136]) ).
thf(f1489,plain,
( ! [X0: qML_i] :
( ( qML_r @ X0 @ sK33 )
!= $true )
| ~ spl6_13 ),
inference(avatar_component_clause,[status(thm)],[f1488]) ).
thf(f1488,definition,
( spl6_13
<=> ! [X0: qML_i] :
( ( qML_r @ X0 @ sK33 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_13])],[avatar_definition]) ).
thf(f1510,plain,
~ spl6_8,
inference(avatar_split_clause,[status(thm)],[f721,f653]) ).
thf(f653,definition,
( spl6_8
<=> ( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) ) ),
introduced(definition,[new_symbols(naming,[spl6_8])],[avatar_definition]) ).
thf(f721,plain,
( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f719]) ).
thf(f719,plain,
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) )
| ( $true != $true ) ),
inference(constrained_superposition,[status(thm)],[f716,f147]) ).
thf(f147,plain,
! [X0: qML_i] :
( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X0 ) ),
inference(definition_unfolding,[status(thm)],[f139,f134]) ).
thf(f134,plain,
( inconsistency_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
thf(f49,plain,
( inconsistency_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f48]) ).
thf(f48,plain,
( inconsistency_G
= ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X2 @ X1 )
=> ( X2 @ X0 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
( inconsistency_G
= ( ^ [X6: qML_mu,X7: qML_i] :
! [X8: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X8 @ X7 )
=> ( X8 @ X6 @ X7 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_2_G__def) ).
thf(f139,plain,
! [X0: qML_i] :
( ( inconsistency_P @ inconsistency_G @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f57]) ).
thf(f57,plain,
! [X0: qML_i] :
( ( inconsistency_P @ inconsistency_G @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f56]) ).
thf(f56,plain,
! [X0: qML_i] : ( inconsistency_P @ inconsistency_G @ X0 ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
! [X5: qML_i] : ( inconsistency_P @ inconsistency_G @ X5 ),
file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_4_A3) ).
thf(f716,plain,
! [X1: qML_i] :
( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 )
!= $true ),
inference(subsumption_resolution,[status(thm)],[f714,f632]) ).
thf(f632,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 )
!= $true )
| ( $true
!= ( inconsistency_P @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f631]) ).
thf(f631,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
!= ( inconsistency_P @ X2 @ X1 ) )
| ( $true = $false )
| ( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f609]) ).
thf(f609,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 )
!= $true )
| ( $true
!= ( inconsistency_P @ X2 @ X1 ) )
| ( $true
= ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ ( sK16
@ ^ [Y0: qML_mu,Y1: qML_i] : $false )
@ ( sK17
@ ^ [Y0: qML_mu,Y1: qML_i] : $false ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f607]) ).
thf(f607,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( X0 @ ( sK16 @ X0 ) @ ( sK17 @ X0 ) ) )
| ( $true
!= ( inconsistency_P @ X2 @ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f606]) ).
thf(f606,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
!= ( inconsistency_P @ X2 @ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( $true
!= ( ~ ( X0 @ ( sK16 @ X0 ) @ ( sK17 @ X0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f605]) ).
thf(f605,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ^ [Y0: qML_i] :
~ ( X0 @ ( sK16 @ X0 ) @ Y0 )
@ ( sK17 @ X0 ) )
!= ( ^ [Y0: qML_i] : $true
@ ( sK17 @ X0 ) ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( $true
!= ( inconsistency_P @ X2 @ X1 ) ) ),
inference(negative_extensionality,[status(thm)],[f604]) ).
thf(f604,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ^ [Y0: qML_i] : $true )
!= ( ^ [Y0: qML_i] :
~ ( X0 @ ( sK16 @ X0 ) @ Y0 ) ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( $true
!= ( inconsistency_P @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f603]) ).
thf(f603,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ ( sK16 @ X0 ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $true
@ ( sK16 @ X0 ) ) )
| ( $true
!= ( inconsistency_P @ X2 @ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(negative_extensionality,[status(thm)],[f585]) ).
thf(f585,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( ^ [Y0: qML_mu,Y1: qML_i] : $true )
!= ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 ) ) )
| ( $true
!= ( inconsistency_P @ X2 @ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f579]) ).
thf(f579,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true != $true )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( $true
!= ( inconsistency_P @ X2 @ X1 ) )
| ( ( ^ [Y0: qML_mu,Y1: qML_i] : $true )
!= ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 ) ) ) ),
inference(constrained_superposition,[status(thm)],[f138,f556]) ).
thf(f556,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f555]) ).
thf(f555,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1 ) )
| ( $true != $true )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f521]) ).
thf(f521,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( $true
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $true
@ ( sK4
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1
@ X0 )
@ ( sK3
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1
@ X0 ) ) )
| ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $true
@ X1 ) ) ),
inference(primitive_instantiation,[status(thm)],[f122]) ).
thf(f122,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( X2 @ ( sK4 @ X2 @ X1 @ X0 ) @ ( sK3 @ X2 @ X1 @ X0 ) )
!= $true )
| ( $true
= ( inconsistency_P @ X2 @ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
thf(f107,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu > qML_i > $o] :
( ( ( $true
= ( X0 @ ( sK4 @ X2 @ X1 @ X0 ) @ ( sK3 @ X2 @ X1 @ X0 ) ) )
& ( ( X2 @ ( sK4 @ X2 @ X1 @ X0 ) @ ( sK3 @ X2 @ X1 @ X0 ) )
!= $true )
& ( $true
= ( qML_r @ X1 @ ( sK3 @ X2 @ X1 @ X0 ) ) ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( $true
= ( inconsistency_P @ X2 @ X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f88,f106,f105]) ).
thf(f105,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu > qML_i > $o] :
( ? [X3: qML_i] :
( ? [X4: qML_mu] :
( ( $true
= ( X0 @ X4 @ X3 ) )
& ( ( X2 @ X4 @ X3 )
!= $true ) )
& ( $true
= ( qML_r @ X1 @ X3 ) ) )
=> ( ? [X4: qML_mu] :
( ( $true
= ( X0 @ X4 @ ( sK3 @ X2 @ X1 @ X0 ) ) )
& ( ( X2 @ X4 @ ( sK3 @ X2 @ X1 @ X0 ) )
!= $true ) )
& ( $true
= ( qML_r @ X1 @ ( sK3 @ X2 @ X1 @ X0 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f106,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu > qML_i > $o] :
( ? [X4: qML_mu] :
( ( $true
= ( X0 @ X4 @ ( sK3 @ X2 @ X1 @ X0 ) ) )
& ( ( X2 @ X4 @ ( sK3 @ X2 @ X1 @ X0 ) )
!= $true ) )
=> ( ( $true
= ( X0 @ ( sK4 @ X2 @ X1 @ X0 ) @ ( sK3 @ X2 @ X1 @ X0 ) ) )
& ( ( X2 @ ( sK4 @ X2 @ X1 @ X0 ) @ ( sK3 @ X2 @ X1 @ X0 ) )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f88,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu > qML_i > $o] :
( ? [X3: qML_i] :
( ? [X4: qML_mu] :
( ( $true
= ( X0 @ X4 @ X3 ) )
& ( ( X2 @ X4 @ X3 )
!= $true ) )
& ( $true
= ( qML_r @ X1 @ X3 ) ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( $true
= ( inconsistency_P @ X2 @ X1 ) ) ),
inference(flattening,[status(thm)],[f87]) ).
thf(f87,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu > qML_i > $o] :
( ( $true
= ( inconsistency_P @ X2 @ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ? [X3: qML_i] :
( ? [X4: qML_mu] :
( ( $true
= ( X0 @ X4 @ X3 ) )
& ( ( X2 @ X4 @ X3 )
!= $true ) )
& ( $true
= ( qML_r @ X1 @ X3 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f71]) ).
thf(f71,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu > qML_i > $o] :
( ( ( ( inconsistency_P @ X0 @ X1 )
= $true )
& ! [X3: qML_i] :
( ( $true
= ( qML_r @ X1 @ X3 ) )
=> ! [X4: qML_mu] :
( ( $true
= ( X0 @ X4 @ X3 ) )
=> ( ( X2 @ X4 @ X3 )
= $true ) ) ) )
=> ( $true
= ( inconsistency_P @ X2 @ X1 ) ) ),
inference(fool_elimination,[status(thm)],[f70]) ).
thf(f70,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X0 @ X1 )
& ! [X3: qML_i] :
( ( qML_r @ X1 @ X3 )
=> ! [X4: qML_mu] :
( ( X0 @ X4 @ X3 )
=> ( X2 @ X4 @ X3 ) ) ) )
=> ( inconsistency_P @ X2 @ X1 ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X1: qML_mu > qML_i > $o,X0: qML_i,X2: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X1 @ X0 )
& ! [X3: qML_i] :
( ( qML_r @ X0 @ X3 )
=> ! [X4: qML_mu] :
( ( X1 @ X4 @ X3 )
=> ( X2 @ X4 @ X3 ) ) ) )
=> ( inconsistency_P @ X2 @ X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_0_A2) ).
thf(f138,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
!= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
thf(f92,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( $true
!= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f82]) ).
thf(f82,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ X1 ) )
=> ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(flattening,[status(thm)],[f69]) ).
thf(f69,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X0 @ Y0 @ Y1 )
@ X1 ) )
=> ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(fool_elimination,[status(thm)],[f68]) ).
thf(f68,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( inconsistency_P
@ ^ [X2: qML_mu,X3: qML_i] :
~ ( X0 @ X2 @ X3 )
@ X1 )
=> ~ ( inconsistency_P @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
! [X1: qML_mu > qML_i > $o,X0: qML_i] :
( ( inconsistency_P
@ ^ [X8: qML_mu,X9: qML_i] :
~ ( X1 @ X8 @ X9 )
@ X0 )
=> ~ ( inconsistency_P @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_3_A1a) ).
thf(f714,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 )
!= $true )
| ( $true
= ( inconsistency_P @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f713]) ).
thf(f713,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 )
!= $true )
| ( $true = $false )
| ( $true
= ( inconsistency_P @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f686]) ).
thf(f686,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] : $false
@ X1 )
!= $true )
| ( $true
= ( inconsistency_P @ X2 @ X1 ) )
| ( $true
= ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ ( sK4 @ X2 @ X1
@ ^ [Y0: qML_mu,Y1: qML_i] : $false )
@ ( sK3 @ X2 @ X1
@ ^ [Y0: qML_mu,Y1: qML_i] : $false ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f123]) ).
thf(f123,plain,
! [X2: qML_mu > qML_i > $o,X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( $true
= ( X0 @ ( sK4 @ X2 @ X1 @ X0 ) @ ( sK3 @ X2 @ X1 @ X0 ) ) )
| ( $true
= ( inconsistency_P @ X2 @ X1 ) )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
thf(f1497,plain,
( spl6_13
| spl6_15
| spl6_8 ),
inference(avatar_split_clause,[status(thm)],[f1463,f653,f1495,f1488]) ).
thf(f1463,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true )
| ( $true
= ( X1 @ ( sK56 @ X1 ) @ ( sK55 @ X1 ) ) ) )
| spl6_8 ),
inference(binary_proxy_clausification,[status(thm)],[f1461]) ).
thf(f1461,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true )
| ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( $false
= ( ( X1 @ ( sK56 @ X1 ) @ ( sK55 @ X1 ) )
=> ( sK53 @ X1 @ ( sK56 @ X1 ) @ ( sK55 @ X1 ) ) ) ) )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1460]) ).
thf(f1460,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true )
| ( $false
= ( ^ [Y0: qML_mu] :
( ( X1 @ Y0 @ ( sK55 @ X1 ) )
=> ( sK53 @ X1 @ Y0 @ ( sK55 @ X1 ) ) )
@ ( sK56 @ X1 ) ) )
| ( $false
= ( qML_r @ sK33 @ X2 ) ) )
| spl6_8 ),
inference(sigma_clausification,[status(thm)],[f1458]) ).
thf(f1458,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( ( X1 @ Y0 @ ( sK55 @ X1 ) )
=> ( sK53 @ X1 @ Y0 @ ( sK55 @ X1 ) ) ) ) )
| ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true ) )
| spl6_8 ),
inference(binary_proxy_clausification,[status(thm)],[f1457]) ).
thf(f1457,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( $false
= ( ( qML_r @ sK33 @ ( sK55 @ X1 ) )
=> ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( ( X1 @ Y0 @ ( sK55 @ X1 ) )
=> ( sK53 @ X1 @ Y0 @ ( sK55 @ X1 ) ) ) ) ) )
| ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true ) )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1456]) ).
thf(f1456,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( $false
= ( ^ [Y0: qML_i] :
( ( qML_r @ sK33 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK53 @ X1 @ Y1 @ Y0 ) ) ) )
@ ( sK55 @ X1 ) ) )
| ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true ) )
| spl6_8 ),
inference(sigma_clausification,[status(thm)],[f1454]) ).
thf(f1454,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true )
| ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( $false
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK33 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK53 @ X1 @ Y1 @ Y0 ) ) ) ) ) ) )
| spl6_8 ),
inference(binary_proxy_clausification,[status(thm)],[f1453]) ).
thf(f1453,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( ( sK53 @ X1 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK33 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK53 @ X1 @ Y1 @ Y0 ) ) ) ) ) ) )
| ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( ( X1 @ ( sK54 @ X1 @ X2 ) @ X2 )
= $true ) )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1452]) ).
thf(f1452,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( $false
= ( ( sK53 @ X1 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK33 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK53 @ X1 @ Y1 @ Y0 ) ) ) ) ) ) )
| ( ( ^ [Y0: qML_mu] : ( X1 @ Y0 @ X2 )
@ ( sK54 @ X1 @ X2 ) )
= $true )
| ( ( qML_r @ X0 @ sK33 )
!= $true ) )
| spl6_8 ),
inference(sigma_clausification,[status(thm)],[f1451]) ).
thf(f1451,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( $true
= ( ?? @ qML_mu
@ ^ [Y0: qML_mu] : ( X1 @ Y0 @ X2 ) ) )
| ( $false
= ( qML_r @ sK33 @ X2 ) )
| ( $false
= ( ( sK53 @ X1 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK33 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK53 @ X1 @ Y1 @ Y0 ) ) ) ) ) ) ) )
| spl6_8 ),
inference(binary_proxy_clausification,[status(thm)],[f1450]) ).
thf(f1450,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( ( qML_r @ sK33 @ X2 )
=> ( ?? @ qML_mu
@ ^ [Y0: qML_mu] : ( X1 @ Y0 @ X2 ) ) )
= $true )
| ( $false
= ( ( sK53 @ X1 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK33 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( X1 @ Y1 @ Y0 )
=> ( sK53 @ X1 @ Y1 @ Y0 ) ) ) ) ) ) )
| ( ( qML_r @ X0 @ sK33 )
!= $true ) )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1449]) ).
thf(f1449,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK33 @ Y1 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X1 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
@ ( sK53 @ X1 ) )
= $false )
| ( ( ( qML_r @ sK33 @ X2 )
=> ( ?? @ qML_mu
@ ^ [Y0: qML_mu] : ( X1 @ Y0 @ X2 ) ) )
= $true ) )
| spl6_8 ),
inference(sigma_clausification,[status(thm)],[f1448]) ).
thf(f1448,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK33 @ Y1 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X1 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
| ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( ( ( qML_r @ sK33 @ X2 )
=> ( ?? @ qML_mu
@ ^ [Y0: qML_mu] : ( X1 @ Y0 @ X2 ) ) )
= $true ) )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1447]) ).
thf(f1447,plain,
( ! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( $false
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK33 @ Y1 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X1 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
| ( $true
= ( ^ [Y0: qML_i] :
( ( qML_r @ sK33 @ Y0 )
=> ( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( X1 @ Y1 @ Y0 ) ) )
@ X2 ) )
| ( ( qML_r @ X0 @ sK33 )
!= $true ) )
| spl6_8 ),
inference(pi_clausification,[status(thm)],[f1446]) ).
thf(f1446,plain,
( ! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( $true
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK33 @ Y0 )
=> ( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( X1 @ Y1 @ Y0 ) ) ) ) )
| ( $false
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK33 @ Y1 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X1 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) ) )
| spl6_8 ),
inference(binary_proxy_clausification,[status(thm)],[f1445]) ).
thf(f1445,plain,
( ! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK33 @ Y1 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( ( X1 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( qML_r @ sK33 @ Y0 )
=> ( ?? @ qML_mu
@ ^ [Y1: qML_mu] : ( X1 @ Y1 @ Y0 ) ) ) ) )
= $true ) )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1444]) ).
thf(f1444,plain,
( ! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( $true
= ( ^ [Y0: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( qML_r @ sK33 @ Y2 )
=> ( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK33 @ Y1 )
=> ( ?? @ qML_mu
@ ^ [Y2: qML_mu] : ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ X1 ) ) )
| spl6_8 ),
inference(pi_clausification,[status(thm)],[f1443]) ).
thf(f1443,plain,
( ! [X0: qML_i] :
( ( ( qML_r @ X0 @ sK33 )
!= $true )
| ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1 @ sK32 @ sK33 )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( qML_r @ sK33 @ Y2 )
=> ( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( qML_r @ sK33 @ Y1 )
=> ( ?? @ qML_mu
@ ^ [Y2: qML_mu] : ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
= $true ) )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1442]) ).
thf(f1442,plain,
( ! [X0: qML_i] :
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y1 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ sK32
@ sK33 )
= $true )
| ( ( qML_r @ X0 @ sK33 )
!= $true ) )
| spl6_8 ),
inference(trivial_inequality_removal,[status(thm)],[f1420]) ).
thf(f1420,plain,
( ! [X0: qML_i] :
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y1 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ sK32
@ sK33 )
= $true )
| ( $true != $true )
| ( ( qML_r @ X0 @ sK33 )
!= $true ) )
| spl6_8 ),
inference(superposition,[status(thm)],[f1281,f171]) ).
thf(f171,plain,
! [X0: qML_i] :
( ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y1 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ X0 )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f145]) ).
thf(f145,plain,
! [X0: qML_i] :
( $true
= ( inconsistency_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ^ [Y3: qML_mu > qML_i > $o,Y4: qML_mu,Y5: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y6: qML_mu > qML_i > $o] :
( ( Y6 @ Y4 @ Y5 )
=> ( !! @ qML_i
@ ^ [Y7: qML_i] :
( ( qML_r @ Y5 @ Y7 )
=> ( !! @ qML_mu
@ ^ [Y8: qML_mu] :
( ( Y3 @ Y8 @ Y7 )
=> ( Y6 @ Y8 @ Y7 ) ) ) ) ) ) )
@ Y2
@ Y0
@ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) )
@ X0 ) ),
inference(definition_unfolding,[status(thm)],[f133,f140]) ).
thf(f140,plain,
( incons1905966852QML_mu
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( ^ [Y3: qML_mu > qML_i > $o,Y4: qML_mu,Y5: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y6: qML_mu > qML_i > $o] :
( ( Y6 @ Y4 @ Y5 )
=> ( !! @ qML_i
@ ^ [Y7: qML_i] :
( ( qML_r @ Y5 @ Y7 )
=> ( !! @ qML_mu
@ ^ [Y8: qML_mu] :
( ( Y3 @ Y8 @ Y7 )
=> ( Y6 @ Y8 @ Y7 ) ) ) ) ) ) )
@ Y2
@ Y0
@ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[status(thm)],[f117,f135]) ).
thf(f135,plain,
( incons1389517216QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y2 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
thf(f55,plain,
( incons1389517216QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( qML_r @ Y2 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y5: qML_mu] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f54]) ).
thf(f54,plain,
( ( ^ [X0: qML_mu > qML_i > $o,X1: qML_mu,X2: qML_i] :
! [X3: qML_mu > qML_i > $o] :
( ( X3 @ X1 @ X2 )
=> ! [X4: qML_i] :
( ( qML_r @ X2 @ X4 )
=> ! [X5: qML_mu] :
( ( X0 @ X5 @ X4 )
=> ( X3 @ X5 @ X4 ) ) ) ) )
= incons1389517216QML_mu ),
inference(rectify,[status(thm)],[f12]) ).
thf(f12,axiom,
( ( ^ [X15: qML_mu > qML_i > $o,X6: qML_mu,X7: qML_i] :
! [X8: qML_mu > qML_i > $o] :
( ( X8 @ X6 @ X7 )
=> ! [X14: qML_i] :
( ( qML_r @ X7 @ X14 )
=> ! [X9: qML_mu] :
( ( X15 @ X9 @ X14 )
=> ( X8 @ X9 @ X14 ) ) ) ) )
= incons1389517216QML_mu ),
file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_11_ess__def) ).
thf(f117,plain,
( incons1905966852QML_mu
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ Y2 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
thf(f77,plain,
( incons1905966852QML_mu
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ Y2 @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( qML_r @ Y1 @ Y3 )
=> ( ?? @ qML_mu
@ ^ [Y4: qML_mu] : ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f76]) ).
thf(f76,plain,
( incons1905966852QML_mu
= ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ X2 @ X0 @ X1 )
=> ! [X3: qML_i] :
( ( qML_r @ X1 @ X3 )
=> ? [X4: qML_mu] : ( X2 @ X4 @ X3 ) ) ) ) ),
inference(rectify,[status(thm)],[f11]) ).
thf(f11,axiom,
( incons1905966852QML_mu
= ( ^ [X6: qML_mu,X7: qML_i] :
! [X8: qML_mu > qML_i > $o] :
( ( incons1389517216QML_mu @ X8 @ X6 @ X7 )
=> ! [X14: qML_i] :
( ( qML_r @ X7 @ X14 )
=> ? [X9: qML_mu] : ( X8 @ X9 @ X14 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_10_NE__def) ).
thf(f133,plain,
! [X0: qML_i] :
( ( inconsistency_P @ incons1905966852QML_mu @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f33,plain,
! [X0: qML_i] :
( ( inconsistency_P @ incons1905966852QML_mu @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f32]) ).
thf(f32,plain,
! [X0: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X0 ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X5: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X5 ),
file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_1_A5) ).
thf(f1281,plain,
( ! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( inconsistency_P @ X0 @ X1 )
!= $true )
| ( ( X0 @ sK32 @ sK33 )
= $true )
| ( $true
!= ( qML_r @ X1 @ sK33 ) ) )
| spl6_8 ),
inference(trivial_inequality_removal,[status(thm)],[f1223]) ).
thf(f1223,plain,
( ! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ( ( X0 @ sK32 @ sK33 )
= $true )
| ( $true
!= ( qML_r @ X1 @ sK33 ) )
| ( $true = $false )
| ( ( inconsistency_P @ X0 @ X1 )
!= $true ) )
| spl6_8 ),
inference(superposition,[status(thm)],[f127,f1216]) ).
thf(f1216,plain,
( ! [X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X1 @ sK33 )
= $false )
| ( $true
= ( X1 @ sK32 @ sK33 ) ) )
| spl6_8 ),
inference(binary_proxy_clausification,[status(thm)],[f1215]) ).
thf(f1215,plain,
( ! [X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X1 @ sK33 )
=> ( X1 @ sK32 @ sK33 ) )
= $true )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1214]) ).
thf(f1214,plain,
( ! [X1: qML_mu > qML_i > $o] :
( $true
= ( ^ [Y0: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y0 @ sK33 )
=> ( Y0 @ sK32 @ sK33 ) )
@ X1 ) )
| spl6_8 ),
inference(pi_clausification,[status(thm)],[f1213]) ).
thf(f1213,plain,
( ( $false
!= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y0 @ sK33 )
=> ( Y0 @ sK32 @ sK33 ) ) ) )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1212]) ).
thf(f1212,plain,
( ( ( ^ [Y0: qML_i] : $false
@ sK33 )
!= ( ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y1 @ Y0 )
=> ( Y1 @ sK32 @ Y0 ) ) )
@ sK33 ) )
| spl6_8 ),
inference(negative_extensionality,[status(thm)],[f1211]) ).
thf(f1211,plain,
( ( ( ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y1 @ Y0 )
=> ( Y1 @ sK32 @ Y0 ) ) ) )
!= ( ^ [Y0: qML_i] : $false ) )
| spl6_8 ),
inference(beta_eta_normalization,[status(thm)],[f1210]) ).
thf(f1210,plain,
( ( ( ^ [Y0: qML_mu,Y1: qML_i] : $false
@ sK32 )
!= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ sK32 ) )
| spl6_8 ),
inference(negative_extensionality,[status(thm)],[f655]) ).
thf(f655,plain,
( ( ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( inconsistency_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: qML_mu,Y1: qML_i] : $false ) )
| spl6_8 ),
inference(avatar_component_clause,[status(thm)],[f653]) ).
thf(f127,plain,
! [X2: qML_i,X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X1 @ X2 )
= $true )
| ( ( inconsistency_P @ X1 @ X0 )
!= $true )
| ( ( qML_r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
thf(f91,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X1 @ X0 )
!= $true )
| ! [X2: qML_i] :
( ( ( inconsistency_P @ X1 @ X2 )
= $true )
| ( ( qML_r @ X0 @ X2 )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f63]) ).
thf(f63,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( ( inconsistency_P @ X1 @ X0 )
= $true )
=> ! [X2: qML_i] :
( ( ( qML_r @ X0 @ X2 )
= $true )
=> ( ( inconsistency_P @ X1 @ X2 )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f62]) ).
thf(f62,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X1 @ X0 )
=> ! [X2: qML_i] :
( ( qML_r @ X0 @ X2 )
=> ( inconsistency_P @ X1 @ X2 ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,axiom,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( inconsistency_P @ X1 @ X0 )
=> ! [X10: qML_i] :
( ( qML_r @ X0 @ X10 )
=> ( inconsistency_P @ X1 @ X10 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_6_A4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PHI007^4 : TPTP v9.2.1. Released v6.4.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n010.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 11:24:33 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.29/0.45 ---- Original DTF file ---
% 0.29/0.45 thf(spec,logic,$$dhol).
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % File : PHI007^4 : TPTP v9.2.1. Released v6.4.0.
% 0.29/0.45 % Domain : Philosophy
% 0.29/0.45 % Problem : Inconsistency of the axioms in Goedel's original manuscript
% 0.29/0.45 % Version : [Ben16] axioms : Biased.
% 0.29/0.45 % English : Scott's variant without the conjunct in the definition of essence.
% 0.29/0.45
% 0.29/0.45 % Refs : [Ben16] Benzmueller (2016), Email to Geoff Sutcliffe
% 0.29/0.45 % Source : [Ben16]
% 0.29/0.45 % Names : Sledgehammer_Inconsistency_S5U_direct_satallax_fullaxioms.p [Ben16]
% 0.29/0.45
% 0.29/0.45 % Status : ContradictoryAxioms
% 0.29/0.45 % Rating : 0.78 v9.1.0, 0.75 v9.0.0, 0.80 v8.2.0, 0.85 v8.1.0, 0.82 v7.5.0, 0.71 v7.4.0, 0.67 v7.2.0, 0.62 v7.0.0, 0.71 v6.4.0
% 0.29/0.45 % Syntax : Number of formulae : 52 ( 15 unt; 25 typ; 0 def)
% 0.29/0.45 % Number of atoms : 70 ( 15 equ; 0 cnn)
% 0.29/0.45 % Maximal formula atoms : 3 ( 2 avg)
% 0.29/0.45 % Number of connectives : 189 ( 6 ~; 0 |; 9 &; 144 @)
% 0.29/0.45 % ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% 0.29/0.45 % Maximal formula depth : 12 ( 5 avg)
% 0.29/0.45 % Number of types : 7 ( 6 usr)
% 0.29/0.45 % Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% 0.29/0.45 % Number of symbols : 21 ( 19 usr; 1 con; 0-3 aty)
% 0.29/0.45 % Number of variables : 83 ( 25 ^; 52 !; 6 ?; 83 :)
% 0.29/0.45 % SPC : TH0_CAX_EQU_NAR
% 0.29/0.45
% 0.29/0.45 % Comments : This problem file has been generated by Sledgehammer (satallax
% 0.29/0.45 % translation) in default setting.
% 0.29/0.45 % : The $false conjecture makes this correspond to the Isabelle
% 0.29/0.45 % sources. Otherwise it could be omitted and the status would be
% 0.29/0.45 % Unsatisfiable.
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 %----Could-be-implicit typings (6)
% 0.29/0.45 thf(ty_n_t__Set__Oset_It__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J_J,type,
% 0.29/0.45 set_set_set_nat: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 0.29/0.45 set_set_nat: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(ty_n_t__QML____S5__O__092__060mu__062,type,
% 0.29/0.45 qML_mu: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(ty_n_t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/0.45 set_nat: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(ty_n_t__QML____S5__Oi,type,
% 0.29/0.45 qML_i: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(ty_n_t__Nat__Onat,type,
% 0.29/0.45 nat: $tType ).
% 0.29/0.45
% 0.29/0.45 %----Explicit typings (19)
% 0.29/0.45 thf(sy_c_Equiv__Relations_Opart__equivp_001t__Nat__Onat,type,
% 0.29/0.45 equiv_2129914667vp_nat: ( nat > nat > $o ) > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Equiv__Relations_Opart__equivp_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/0.45 equiv_235907809et_nat: ( set_nat > set_nat > $o ) > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Inconsistency__S5_OG,type,
% 0.29/0.45 inconsistency_G: qML_mu > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Inconsistency__S5_ONE_001t__QML____S5__O__092__060mu__062,type,
% 0.29/0.45 incons1905966852QML_mu: qML_mu > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Inconsistency__S5_OP,type,
% 0.29/0.45 inconsistency_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Inconsistency__S5_Oess_001t__QML____S5__O__092__060mu__062,type,
% 0.29/0.45 incons1389517216QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/0.45 ord_less_eq_set_nat: set_nat > set_nat > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 0.29/0.45 ord_le1613022364et_nat: set_set_nat > set_set_nat > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_QML__S5_Or,type,
% 0.29/0.45 qML_r: qML_i > qML_i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat,type,
% 0.29/0.45 dvd_dvd_nat: nat > nat > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Set_OBall_001t__Nat__Onat,type,
% 0.29/0.45 ball_nat: set_nat > ( nat > $o ) > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Set_OBall_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/0.45 ball_set_nat: set_set_nat > ( set_nat > $o ) > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Set_OCollect_001t__Nat__Onat,type,
% 0.29/0.45 collect_nat: ( nat > $o ) > set_nat ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/0.45 collect_set_nat: ( set_nat > $o ) > set_set_nat ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Set_OCollect_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 0.29/0.45 collect_set_set_nat: ( set_set_nat > $o ) > set_set_set_nat ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_Set__Interval_Oord_OgreaterThan_001t__Nat__Onat,type,
% 0.29/0.45 set_greaterThan_nat: ( nat > nat > $o ) > nat > set_nat ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_member_001t__Nat__Onat,type,
% 0.29/0.45 member_nat: nat > set_nat > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_member_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/0.45 member_set_nat: set_nat > set_set_nat > $o ).
% 0.29/0.45
% 0.29/0.45 thf(sy_c_member_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 0.29/0.45 member_set_set_nat: set_set_nat > set_set_set_nat > $o ).
% 0.29/0.45
% 0.29/0.45 %----Relevant facts (26)
% 0.29/0.45 thf(fact_0_A2,axiom,
% 0.29/0.45 ! [W: qML_i,X: qML_mu > qML_i > $o,Xa: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( ( inconsistency_P @ X @ W )
% 0.29/0.45 & ! [V: qML_i] :
% 0.29/0.45 ( ( qML_r @ W @ V )
% 0.29/0.45 => ! [Xb: qML_mu] :
% 0.29/0.45 ( ( X @ Xb @ V )
% 0.29/0.45 => ( Xa @ Xb @ V ) ) ) )
% 0.29/0.45 => ( inconsistency_P @ Xa @ W ) ) ).
% 0.29/0.45
% 0.29/0.45 % A2
% 0.29/0.45 thf(fact_1_A5,axiom,
% 0.29/0.45 ! [X_1: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X_1 ) ).
% 0.29/0.45
% 0.29/0.45 % A5
% 0.29/0.45 thf(fact_2_G__def,axiom,
% 0.29/0.45 ( inconsistency_G
% 0.29/0.45 = ( ^ [X2: qML_mu,W2: qML_i] :
% 0.29/0.45 ! [Y: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( inconsistency_P @ Y @ W2 )
% 0.29/0.45 => ( Y @ X2 @ W2 ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % G_def
% 0.29/0.45 thf(fact_3_A1a,axiom,
% 0.29/0.45 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( inconsistency_P
% 0.29/0.45 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.29/0.45 ~ ( X @ Y @ Z )
% 0.29/0.45 @ W )
% 0.29/0.45 => ~ ( inconsistency_P @ X @ W ) ) ).
% 0.29/0.45
% 0.29/0.45 % A1a
% 0.29/0.45 thf(fact_4_A3,axiom,
% 0.29/0.45 ! [X_1: qML_i] : ( inconsistency_P @ inconsistency_G @ X_1 ) ).
% 0.29/0.45
% 0.29/0.45 % A3
% 0.29/0.45 thf(fact_5_A1b,axiom,
% 0.29/0.45 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ~ ( inconsistency_P @ X @ W )
% 0.29/0.45 => ( inconsistency_P
% 0.29/0.45 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.29/0.45 ~ ( X @ Y @ Z )
% 0.29/0.45 @ W ) ) ).
% 0.29/0.45
% 0.29/0.45 % A1b
% 0.29/0.45 thf(fact_6_A4,axiom,
% 0.29/0.45 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( inconsistency_P @ X @ W )
% 0.29/0.45 => ! [V2: qML_i] :
% 0.29/0.45 ( ( qML_r @ W @ V2 )
% 0.29/0.45 => ( inconsistency_P @ X @ V2 ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % A4
% 0.29/0.45 thf(fact_7_QML__S5_Otrans,axiom,
% 0.29/0.45 ! [X3: qML_i,Y2: qML_i,Z2: qML_i] :
% 0.29/0.45 ( ( ( qML_r @ X3 @ Y2 )
% 0.29/0.45 & ( qML_r @ Y2 @ Z2 ) )
% 0.29/0.45 => ( qML_r @ X3 @ Z2 ) ) ).
% 0.29/0.45
% 0.29/0.45 % QML_S5.trans
% 0.29/0.45 thf(fact_8_QML__S5_Osym,axiom,
% 0.29/0.45 ! [X3: qML_i,Y2: qML_i] :
% 0.29/0.45 ( ( qML_r @ X3 @ Y2 )
% 0.29/0.45 => ( qML_r @ Y2 @ X3 ) ) ).
% 0.29/0.45
% 0.29/0.45 % QML_S5.sym
% 0.29/0.45 thf(fact_9_ref,axiom,
% 0.29/0.45 ! [X3: qML_i] : ( qML_r @ X3 @ X3 ) ).
% 0.29/0.45
% 0.29/0.45 % ref
% 0.29/0.45 thf(fact_10_NE__def,axiom,
% 0.29/0.45 ( incons1905966852QML_mu
% 0.29/0.45 = ( ^ [X2: qML_mu,W2: qML_i] :
% 0.29/0.45 ! [Y: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( incons1389517216QML_mu @ Y @ X2 @ W2 )
% 0.29/0.45 => ! [V3: qML_i] :
% 0.29/0.45 ( ( qML_r @ W2 @ V3 )
% 0.29/0.45 => ? [Z: qML_mu] : ( Y @ Z @ V3 ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % NE_def
% 0.29/0.45 thf(fact_11_ess__def,axiom,
% 0.29/0.45 ( incons1389517216QML_mu
% 0.29/0.45 = ( ^ [Phi: qML_mu > qML_i > $o,X2: qML_mu,W2: qML_i] :
% 0.29/0.45 ! [Y: qML_mu > qML_i > $o] :
% 0.29/0.45 ( ( Y @ X2 @ W2 )
% 0.29/0.45 => ! [V3: qML_i] :
% 0.29/0.45 ( ( qML_r @ W2 @ V3 )
% 0.29/0.45 => ! [Z: qML_mu] :
% 0.29/0.45 ( ( Phi @ Z @ V3 )
% 0.29/0.45 => ( Y @ Z @ V3 ) ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % ess_def
% 0.29/0.45 thf(fact_12_mem__Collect__eq,axiom,
% 0.29/0.45 ! [A: set_nat,P: set_nat > $o] :
% 0.29/0.45 ( ( member_set_nat @ A @ ( collect_set_nat @ P ) )
% 0.29/0.45 = ( P @ A ) ) ).
% 0.29/0.45
% 0.29/0.45 % mem_Collect_eq
% 0.29/0.45 thf(fact_13_mem__Collect__eq,axiom,
% 0.29/0.45 ! [A: nat,P: nat > $o] :
% 0.29/0.45 ( ( member_nat @ A @ ( collect_nat @ P ) )
% 0.29/0.45 = ( P @ A ) ) ).
% 0.29/0.45
% 0.29/0.45 % mem_Collect_eq
% 0.29/0.45 thf(fact_14_part__equivp__typedef,axiom,
% 0.29/0.45 ! [R: set_nat > set_nat > $o] :
% 0.29/0.45 ( ( equiv_235907809et_nat @ R )
% 0.29/0.45 => ? [D: set_set_nat] :
% 0.29/0.45 ( member_set_set_nat @ D
% 0.29/0.45 @ ( collect_set_set_nat
% 0.29/0.45 @ ^ [C: set_set_nat] :
% 0.29/0.45 ? [X2: set_nat] :
% 0.29/0.45 ( ( R @ X2 @ X2 )
% 0.29/0.45 & ( C
% 0.29/0.45 = ( collect_set_nat @ ( R @ X2 ) ) ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % part_equivp_typedef
% 0.29/0.45 thf(fact_15_part__equivp__typedef,axiom,
% 0.29/0.45 ! [R: nat > nat > $o] :
% 0.29/0.45 ( ( equiv_2129914667vp_nat @ R )
% 0.29/0.45 => ? [D: set_nat] :
% 0.29/0.45 ( member_set_nat @ D
% 0.29/0.45 @ ( collect_set_nat
% 0.29/0.45 @ ^ [C: set_nat] :
% 0.29/0.45 ? [X2: nat] :
% 0.29/0.45 ( ( R @ X2 @ X2 )
% 0.29/0.45 & ( C
% 0.29/0.45 = ( collect_nat @ ( R @ X2 ) ) ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % part_equivp_typedef
% 0.29/0.45 thf(fact_16_Ball__def__raw,axiom,
% 0.29/0.45 ( ball_nat
% 0.29/0.45 = ( ^ [A2: set_nat,P2: nat > $o] :
% 0.29/0.45 ! [X2: nat] :
% 0.29/0.45 ( ( member_nat @ X2 @ A2 )
% 0.29/0.45 => ( P2 @ X2 ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % Ball_def_raw
% 0.29/0.45 thf(fact_17_Ball__def__raw,axiom,
% 0.29/0.45 ( ball_set_nat
% 0.29/0.45 = ( ^ [A2: set_set_nat,P2: set_nat > $o] :
% 0.29/0.45 ! [X2: set_nat] :
% 0.29/0.45 ( ( member_set_nat @ X2 @ A2 )
% 0.29/0.45 => ( P2 @ X2 ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % Ball_def_raw
% 0.29/0.45 thf(fact_18_Ball__def,axiom,
% 0.29/0.45 ( ball_nat
% 0.29/0.45 = ( ^ [A2: set_nat,P2: nat > $o] :
% 0.29/0.45 ! [X2: nat] :
% 0.29/0.45 ( ( member_nat @ X2 @ A2 )
% 0.29/0.45 => ( P2 @ X2 ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % Ball_def
% 0.29/0.45 thf(fact_19_Ball__def,axiom,
% 0.29/0.45 ( ball_set_nat
% 0.29/0.45 = ( ^ [A2: set_set_nat,P2: set_nat > $o] :
% 0.29/0.45 ! [X2: set_nat] :
% 0.29/0.45 ( ( member_set_nat @ X2 @ A2 )
% 0.29/0.45 => ( P2 @ X2 ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % Ball_def
% 0.29/0.45 thf(fact_20_part__equivp__def,axiom,
% 0.29/0.45 ( equiv_2129914667vp_nat
% 0.29/0.45 = ( ^ [R2: nat > nat > $o] :
% 0.29/0.45 ( ? [X2: nat] : ( R2 @ X2 @ X2 )
% 0.29/0.45 & ! [X2: nat,Y: nat] :
% 0.29/0.45 ( ( R2 @ X2 @ Y )
% 0.29/0.45 = ( ( R2 @ X2 @ X2 )
% 0.29/0.45 & ( R2 @ Y @ Y )
% 0.29/0.45 & ( ( R2 @ X2 )
% 0.29/0.45 = ( R2 @ Y ) ) ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % part_equivp_def
% 0.29/0.45 thf(fact_21_subsetI,axiom,
% 0.29/0.45 ! [A3: set_nat,B: set_nat] :
% 0.29/0.45 ( ! [X4: nat] :
% 0.29/0.45 ( ( member_nat @ X4 @ A3 )
% 0.29/0.45 => ( member_nat @ X4 @ B ) )
% 0.29/0.45 => ( ord_less_eq_set_nat @ A3 @ B ) ) ).
% 0.29/0.45
% 0.29/0.45 % subsetI
% 0.29/0.45 thf(fact_22_subsetI,axiom,
% 0.29/0.45 ! [A3: set_set_nat,B: set_set_nat] :
% 0.29/0.45 ( ! [X4: set_nat] :
% 0.29/0.45 ( ( member_set_nat @ X4 @ A3 )
% 0.29/0.45 => ( member_set_nat @ X4 @ B ) )
% 0.29/0.45 => ( ord_le1613022364et_nat @ A3 @ B ) ) ).
% 0.29/0.45
% 0.29/0.45 % subsetI
% 0.29/0.45 thf(fact_23_dvd_OgreaterThan__def,axiom,
% 0.29/0.45 ! [L: nat] :
% 0.29/0.45 ( ( set_greaterThan_nat
% 0.29/0.45 @ ^ [N: nat,M: nat] :
% 0.29/0.45 ( ( dvd_dvd_nat @ N @ M )
% 0.29/0.45 & ~ ( dvd_dvd_nat @ M @ N ) )
% 0.29/0.45 @ L )
% 0.29/0.45 = ( collect_nat
% 0.29/0.45 @ ^ [X2: nat] :
% 0.29/0.45 ( ( dvd_dvd_nat @ L @ X2 )
% 0.29/0.45 & ~ ( dvd_dvd_nat @ X2 @ L ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % dvd.greaterThan_def
% 0.29/0.45 thf(fact_24_part__equivp__transp,axiom,
% 0.29/0.45 ! [R: nat > nat > $o,X3: nat,Y2: nat,Z2: nat] :
% 0.29/0.45 ( ( equiv_2129914667vp_nat @ R )
% 0.29/0.45 => ( ( R @ X3 @ Y2 )
% 0.29/0.45 => ( ( R @ Y2 @ Z2 )
% 0.29/0.45 => ( R @ X3 @ Z2 ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % part_equivp_transp
% 0.29/0.45 thf(fact_25_part__equivp__symp,axiom,
% 0.29/0.45 ! [R: nat > nat > $o,X3: nat,Y2: nat] :
% 0.29/0.45 ( ( equiv_2129914667vp_nat @ R )
% 0.29/0.45 => ( ( R @ X3 @ Y2 )
% 0.29/0.45 => ( R @ Y2 @ X3 ) ) ) ).
% 0.29/0.45
% 0.29/0.45 % part_equivp_symp
% 0.29/0.45
% 0.29/0.45 %----Conjectures (1)
% 0.29/0.45 thf(conj_0,conjecture,
% 0.29/0.45 $false ).
% 0.29/0.45
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 ------------------------
% 0.29/1.30 ---- Embedded in THF ---
% 0.29/1.30 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.29/1.30 %%% Generated on Tue Feb 24 11:24:34 EST 2026
% 0.29/1.30 %%% using '$$dhol' embedding, version 1.3.0.
% 0.29/1.30 %%% Logic specification used:
% 0.29/1.30 %%% thf(spec, logic, $$dhol).
% 0.29/1.30
% 0.29/1.30 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2DTF3887.p
% See solution above
% 0.29/1.30 ------------------------
% 0.29/1.32 ---- Cleaned THF ---
% 0.29/1.32 thf(ty_n_t__Set__Oset_It__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J_J,type,
% 0.29/1.32 set_set_set_nat: $tType ).
% 0.29/1.32
% 0.29/1.32 thf(ty_n_t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 0.29/1.32 set_set_nat: $tType ).
% 0.29/1.32
% 0.29/1.32 thf(ty_n_t__QML____S5__O__092__060mu__062,type,
% 0.29/1.32 qML_mu: $tType ).
% 0.29/1.32
% 0.29/1.32 thf(ty_n_t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/1.32 set_nat: $tType ).
% 0.29/1.32
% 0.29/1.32 thf(ty_n_t__QML____S5__Oi,type,
% 0.29/1.32 qML_i: $tType ).
% 0.29/1.32
% 0.29/1.32 thf(ty_n_t__Nat__Onat,type,
% 0.29/1.32 nat: $tType ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Equiv__Relations_Opart__equivp_001t__Nat__Onat,type,
% 0.29/1.32 equiv_2129914667vp_nat: ( nat > nat > $o ) > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Equiv__Relations_Opart__equivp_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/1.32 equiv_235907809et_nat: ( set_nat > set_nat > $o ) > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Inconsistency__S5_OG,type,
% 0.29/1.32 inconsistency_G: qML_mu > qML_i > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Inconsistency__S5_ONE_001t__QML____S5__O__092__060mu__062,type,
% 0.29/1.32 incons1905966852QML_mu: qML_mu > qML_i > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Inconsistency__S5_OP,type,
% 0.29/1.32 inconsistency_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Inconsistency__S5_Oess_001t__QML____S5__O__092__060mu__062,type,
% 0.29/1.32 incons1389517216QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/1.32 ord_less_eq_set_nat: set_nat > set_nat > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 0.29/1.32 ord_le1613022364et_nat: set_set_nat > set_set_nat > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_QML__S5_Or,type,
% 0.29/1.32 qML_r: qML_i > qML_i > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Rings_Odvd__class_Odvd_001t__Nat__Onat,type,
% 0.29/1.32 dvd_dvd_nat: nat > nat > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Set_OBall_001t__Nat__Onat,type,
% 0.29/1.32 ball_nat: set_nat > ( nat > $o ) > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Set_OBall_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/1.32 ball_set_nat: set_set_nat > ( set_nat > $o ) > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Set_OCollect_001t__Nat__Onat,type,
% 0.29/1.32 collect_nat: ( nat > $o ) > set_nat ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Set_OCollect_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/1.32 collect_set_nat: ( set_nat > $o ) > set_set_nat ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Set_OCollect_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 0.29/1.32 collect_set_set_nat: ( set_set_nat > $o ) > set_set_set_nat ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_Set__Interval_Oord_OgreaterThan_001t__Nat__Onat,type,
% 0.29/1.32 set_greaterThan_nat: ( nat > nat > $o ) > nat > set_nat ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_member_001t__Nat__Onat,type,
% 0.29/1.32 member_nat: nat > set_nat > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_member_001t__Set__Oset_It__Nat__Onat_J,type,
% 0.29/1.32 member_set_nat: set_nat > set_set_nat > $o ).
% 0.29/1.32
% 0.29/1.32 thf(sy_c_member_001t__Set__Oset_It__Set__Oset_It__Nat__Onat_J_J,type,
% 0.29/1.32 member_set_set_nat: set_set_nat > set_set_set_nat > $o ).
% 0.29/1.32
% 0.29/1.32 thf(fact_0_A2,axiom,
% 0.29/1.32 ! [W: qML_i,X: qML_mu > qML_i > $o,Xa: qML_mu > qML_i > $o] :
% 0.29/1.32 ( ( ( inconsistency_P @ X @ W )
% 0.29/1.32 & ! [V: qML_i] :
% 0.29/1.32 ( ( qML_r @ W @ V )
% 0.29/1.32 => ! [Xb: qML_mu] :
% 0.29/1.32 ( ( X @ Xb @ V )
% 0.29/1.32 => ( Xa @ Xb @ V ) ) ) )
% 0.29/1.32 => ( inconsistency_P @ Xa @ W ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_1_A5,axiom,
% 0.29/1.32 ! [X_1: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X_1 ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_2_G__def,axiom,
% 0.29/1.32 ( inconsistency_G
% 0.29/1.32 = ( ^ [X2: qML_mu,W2: qML_i] :
% 0.29/1.32 ! [Y: qML_mu > qML_i > $o] :
% 0.29/1.32 ( ( inconsistency_P @ Y @ W2 )
% 0.29/1.32 => ( Y @ X2 @ W2 ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_3_A1a,axiom,
% 0.29/1.32 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 0.29/1.32 ( ( inconsistency_P
% 0.29/1.32 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.29/1.32 ~ ( X @ Y @ Z )
% 0.29/1.32 @ W )
% 0.29/1.32 => ~ ( inconsistency_P @ X @ W ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_4_A3,axiom,
% 0.29/1.32 ! [X_1: qML_i] : ( inconsistency_P @ inconsistency_G @ X_1 ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_5_A1b,axiom,
% 0.29/1.32 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 0.29/1.32 ( ~ ( inconsistency_P @ X @ W )
% 0.29/1.32 => ( inconsistency_P
% 0.29/1.32 @ ^ [Y: qML_mu,Z: qML_i] :
% 0.29/1.32 ~ ( X @ Y @ Z )
% 0.29/1.32 @ W ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_6_A4,axiom,
% 0.29/1.32 ! [W: qML_i,X: qML_mu > qML_i > $o] :
% 0.29/1.32 ( ( inconsistency_P @ X @ W )
% 0.29/1.32 => ! [V2: qML_i] :
% 0.29/1.32 ( ( qML_r @ W @ V2 )
% 0.29/1.32 => ( inconsistency_P @ X @ V2 ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_7_QML__S5_Otrans,axiom,
% 0.29/1.32 ! [X3: qML_i,Y2: qML_i,Z2: qML_i] :
% 0.29/1.32 ( ( ( qML_r @ X3 @ Y2 )
% 0.29/1.32 & ( qML_r @ Y2 @ Z2 ) )
% 0.29/1.32 => ( qML_r @ X3 @ Z2 ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_8_QML__S5_Osym,axiom,
% 0.29/1.32 ! [X3: qML_i,Y2: qML_i] :
% 0.29/1.32 ( ( qML_r @ X3 @ Y2 )
% 0.29/1.32 => ( qML_r @ Y2 @ X3 ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_9_ref,axiom,
% 0.29/1.32 ! [X3: qML_i] : ( qML_r @ X3 @ X3 ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_10_NE__def,axiom,
% 0.29/1.32 ( incons1905966852QML_mu
% 0.29/1.32 = ( ^ [X2: qML_mu,W2: qML_i] :
% 0.29/1.32 ! [Y: qML_mu > qML_i > $o] :
% 0.29/1.32 ( ( incons1389517216QML_mu @ Y @ X2 @ W2 )
% 0.29/1.32 => ! [V3: qML_i] :
% 0.29/1.32 ( ( qML_r @ W2 @ V3 )
% 0.29/1.32 => ? [Z: qML_mu] : ( Y @ Z @ V3 ) ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_11_ess__def,axiom,
% 0.29/1.32 ( incons1389517216QML_mu
% 0.29/1.32 = ( ^ [Phi: qML_mu > qML_i > $o,X2: qML_mu,W2: qML_i] :
% 0.29/1.32 ! [Y: qML_mu > qML_i > $o] :
% 0.29/1.32 ( ( Y @ X2 @ W2 )
% 0.29/1.32 => ! [V3: qML_i] :
% 0.29/1.32 ( ( qML_r @ W2 @ V3 )
% 0.29/1.32 => ! [Z: qML_mu] :
% 0.29/1.32 ( ( Phi @ Z @ V3 )
% 0.29/1.32 => ( Y @ Z @ V3 ) ) ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_12_mem__Collect__eq,axiom,
% 0.29/1.32 ! [A: set_nat,P: set_nat > $o] :
% 0.29/1.32 ( ( member_set_nat @ A @ ( collect_set_nat @ P ) )
% 0.29/1.32 = ( P @ A ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_13_mem__Collect__eq,axiom,
% 0.29/1.32 ! [A: nat,P: nat > $o] :
% 0.29/1.32 ( ( member_nat @ A @ ( collect_nat @ P ) )
% 0.29/1.32 = ( P @ A ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_14_part__equivp__typedef,axiom,
% 0.29/1.32 ! [R: set_nat > set_nat > $o] :
% 0.29/1.32 ( ( equiv_235907809et_nat @ R )
% 0.29/1.32 => ? [D: set_set_nat] :
% 0.29/1.32 ( member_set_set_nat @ D
% 0.29/1.32 @ ( collect_set_set_nat
% 0.29/1.32 @ ^ [C: set_set_nat] :
% 0.29/1.32 ? [X2: set_nat] :
% 0.29/1.32 ( ( R @ X2 @ X2 )
% 0.29/1.32 & ( C
% 0.29/1.32 = ( collect_set_nat @ ( R @ X2 ) ) ) ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_15_part__equivp__typedef,axiom,
% 0.29/1.32 ! [R: nat > nat > $o] :
% 0.29/1.32 ( ( equiv_2129914667vp_nat @ R )
% 0.29/1.32 => ? [D: set_nat] :
% 0.29/1.32 ( member_set_nat @ D
% 0.29/1.32 @ ( collect_set_nat
% 0.29/1.32 @ ^ [C: set_nat] :
% 0.29/1.32 ? [X2: nat] :
% 0.29/1.32 ( ( R @ X2 @ X2 )
% 0.29/1.32 & ( C
% 0.29/1.32 = ( collect_nat @ ( R @ X2 ) ) ) ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_16_Ball__def__raw,axiom,
% 0.29/1.32 ( ball_nat
% 0.29/1.32 = ( ^ [A2: set_nat,P2: nat > $o] :
% 0.29/1.32 ! [X2: nat] :
% 0.29/1.32 ( ( member_nat @ X2 @ A2 )
% 0.29/1.32 => ( P2 @ X2 ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_17_Ball__def__raw,axiom,
% 0.29/1.32 ( ball_set_nat
% 0.29/1.32 = ( ^ [A2: set_set_nat,P2: set_nat > $o] :
% 0.29/1.32 ! [X2: set_nat] :
% 0.29/1.32 ( ( member_set_nat @ X2 @ A2 )
% 0.29/1.32 => ( P2 @ X2 ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_18_Ball__def,axiom,
% 0.29/1.32 ( ball_nat
% 0.29/1.32 = ( ^ [A2: set_nat,P2: nat > $o] :
% 0.29/1.32 ! [X2: nat] :
% 0.29/1.32 ( ( member_nat @ X2 @ A2 )
% 0.29/1.32 => ( P2 @ X2 ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_19_Ball__def,axiom,
% 0.29/1.32 ( ball_set_nat
% 0.29/1.32 = ( ^ [A2: set_set_nat,P2: set_nat > $o] :
% 0.29/1.32 ! [X2: set_nat] :
% 0.29/1.32 ( ( member_set_nat @ X2 @ A2 )
% 0.29/1.32 => ( P2 @ X2 ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_20_part__equivp__def,axiom,
% 0.29/1.32 ( equiv_2129914667vp_nat
% 0.29/1.32 = ( ^ [R2: nat > nat > $o] :
% 0.29/1.32 ( ? [X2: nat] : ( R2 @ X2 @ X2 )
% 0.29/1.32 & ! [X2: nat,Y: nat] :
% 0.29/1.32 ( ( R2 @ X2 @ Y )
% 0.29/1.32 = ( ( R2 @ X2 @ X2 )
% 0.29/1.32 & ( R2 @ Y @ Y )
% 0.29/1.32 & ( ( R2 @ X2 )
% 0.29/1.32 = ( R2 @ Y ) ) ) ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_21_subsetI,axiom,
% 0.29/1.32 ! [A3: set_nat,B: set_nat] :
% 0.29/1.32 ( ! [X4: nat] :
% 0.29/1.32 ( ( member_nat @ X4 @ A3 )
% 0.29/1.32 => ( member_nat @ X4 @ B ) )
% 0.29/1.32 => ( ord_less_eq_set_nat @ A3 @ B ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_22_subsetI,axiom,
% 0.29/1.32 ! [A3: set_set_nat,B: set_set_nat] :
% 0.29/1.32 ( ! [X4: set_nat] :
% 0.29/1.32 ( ( member_set_nat @ X4 @ A3 )
% 0.29/1.32 => ( member_set_nat @ X4 @ B ) )
% 0.29/1.32 => ( ord_le1613022364et_nat @ A3 @ B ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_23_dvd_OgreaterThan__def,axiom,
% 0.29/1.32 ! [L: nat] :
% 0.29/1.32 ( ( set_greaterThan_nat
% 0.29/1.32 @ ^ [N: nat,M: nat] :
% 0.29/1.32 ( ( dvd_dvd_nat @ N @ M )
% 0.29/1.32 & ~ ( dvd_dvd_nat @ M @ N ) )
% 0.29/1.32 @ L )
% 0.29/1.32 = ( collect_nat
% 0.29/1.32 @ ^ [X2: nat] :
% 0.29/1.32 ( ( dvd_dvd_nat @ L @ X2 )
% 0.29/1.32 & ~ ( dvd_dvd_nat @ X2 @ L ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_24_part__equivp__transp,axiom,
% 0.29/1.32 ! [R: nat > nat > $o,X3: nat,Y2: nat,Z2: nat] :
% 0.29/1.32 ( ( equiv_2129914667vp_nat @ R )
% 0.29/1.32 => ( ( R @ X3 @ Y2 )
% 0.29/1.32 => ( ( R @ Y2 @ Z2 )
% 0.29/1.32 => ( R @ X3 @ Z2 ) ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(fact_25_part__equivp__symp,axiom,
% 0.29/1.32 ! [R: nat > nat > $o,X3: nat,Y2: nat] :
% 0.29/1.32 ( ( equiv_2129914667vp_nat @ R )
% 0.29/1.32 => ( ( R @ X3 @ Y2 )
% 0.29/1.32 => ( R @ Y2 @ X3 ) ) ) ).
% 0.29/1.32
% 0.29/1.32 thf(conj_0,conjecture,
% 0.29/1.32 $false ).
% 0.29/1.32 ------------------------
% 0.29/1.33 % (4008)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_3887 for (2999ds/2Mi)
% 0.29/1.33 % (4008)Instruction limit reached!
% 0.29/1.33 % (4008)------------------------------
% 0.29/1.33 % (4008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.33 % (4008)Termination reason: Unknown
% 0.29/1.33 % (4008)Termination phase: shuffling
% 0.29/1.33
% 0.29/1.33 % (4008)Memory used [KB]: 1023
% 0.29/1.33 % (4008)Time elapsed: 0.002 s
% 0.29/1.33 % (4008)Instructions burned: 2 (million)
% 0.29/1.33 % (4008)------------------------------
% 0.29/1.33 % (4008)------------------------------
% 0.29/1.33 % (4007)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/2Mi)
% 0.29/1.33 % (4007)Instruction limit reached!
% 0.29/1.33 % (4007)------------------------------
% 0.29/1.33 % (4007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.33 % (4007)Termination reason: Unknown
% 0.29/1.33 % (4007)Termination phase: shuffling
% 0.29/1.33
% 0.29/1.33 % (4007)Memory used [KB]: 1023
% 0.29/1.33 % (4007)Time elapsed: 0.002 s
% 0.29/1.33 % (4007)Instructions burned: 3 (million)
% 0.29/1.33 % (4007)------------------------------
% 0.29/1.33 % (4007)------------------------------
% 0.29/1.34 % (4004)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/183Mi)
% 0.29/1.34 % (4005)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_3887 for (2999ds/4Mi)
% 0.29/1.34 % (4006)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_3887 for (2999ds/27Mi)
% 0.29/1.34 % (4009)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_3887 for (2999ds/275Mi)
% 0.29/1.34 % (4010)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/18Mi)
% 0.29/1.34 % (4011)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/3Mi)
% 0.29/1.34 % (4005)Instruction limit reached!
% 0.29/1.34 % (4005)------------------------------
% 0.29/1.34 % (4005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.34 % (4005)Termination reason: Unknown
% 0.29/1.34 % (4005)Termination phase: Property scanning
% 0.29/1.34
% 0.29/1.34 % (4005)Memory used [KB]: 1023
% 0.29/1.34 % (4005)Time elapsed: 0.005 s
% 0.29/1.34 % (4005)Instructions burned: 5 (million)
% 0.29/1.34 % (4005)------------------------------
% 0.29/1.34 % (4005)------------------------------
% 0.29/1.34 % (4009)Refutation not found, incomplete strategy
% 0.29/1.34 % (4009)------------------------------
% 0.29/1.34 % (4009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.34 % (4009)Termination reason: Refutation not found, incomplete strategy
% 0.29/1.34
% 0.29/1.34
% 0.29/1.34 % (4009)Memory used [KB]: 5500
% 0.29/1.34 % (4009)Time elapsed: 0.005 s
% 0.29/1.34 % (4009)Instructions burned: 5 (million)
% 0.29/1.34 % (4009)------------------------------
% 0.29/1.34 % (4009)------------------------------
% 0.29/1.34 % (4011)Instruction limit reached!
% 0.29/1.34 % (4011)------------------------------
% 0.29/1.34 % (4011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.34 % (4011)Termination reason: Unknown
% 0.29/1.34 % (4011)Termination phase: Property scanning
% 0.29/1.34
% 0.29/1.34 % (4011)Memory used [KB]: 1023
% 0.29/1.34 % (4011)Time elapsed: 0.002 s
% 0.29/1.34 % (4011)Instructions burned: 4 (million)
% 0.29/1.34 % (4011)------------------------------
% 0.29/1.34 % (4011)------------------------------
% 0.29/1.34 % (4012)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_3887 for (2999ds/37Mi)
% 0.29/1.35 % (4010)Instruction limit reached!
% 0.29/1.35 % (4010)------------------------------
% 0.29/1.35 % (4010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.35 % (4010)Termination reason: Unknown
% 0.29/1.35 % (4010)Termination phase: Saturation
% 0.29/1.35
% 0.29/1.35 % (4010)Memory used [KB]: 5628
% 0.29/1.35 % (4010)Time elapsed: 0.012 s
% 0.29/1.35 % (4010)Instructions burned: 18 (million)
% 0.29/1.35 % (4010)------------------------------
% 0.29/1.35 % (4010)------------------------------
% 0.29/1.35 % (4014)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_3887 for (2999ds/3Mi)
% 0.29/1.35 % (4014)Instruction limit reached!
% 0.29/1.35 % (4014)------------------------------
% 0.29/1.35 % (4014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.35 % (4014)Termination reason: Unknown
% 0.29/1.35 % (4014)Termination phase: Property scanning
% 0.29/1.35
% 0.29/1.35 % (4014)Memory used [KB]: 1023
% 0.29/1.35 % (4014)Time elapsed: 0.002 s
% 0.29/1.35 % (4014)Instructions burned: 4 (million)
% 0.29/1.35 % (4014)------------------------------
% 0.29/1.35 % (4014)------------------------------
% 0.29/1.36 % (4012)Instruction limit reached!
% 0.29/1.36 % (4012)------------------------------
% 0.29/1.36 % (4012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.36 % (4012)Termination reason: Unknown
% 0.29/1.36 % (4012)Termination phase: Saturation
% 0.29/1.36
% 0.29/1.36 % (4012)Memory used [KB]: 5756
% 0.29/1.36 % (4012)Time elapsed: 0.014 s
% 0.29/1.36 % (4012)Instructions burned: 39 (million)
% 0.29/1.36 % (4012)------------------------------
% 0.29/1.36 % (4012)------------------------------
% 0.29/1.36 % (4006)Instruction limit reached!
% 0.29/1.36 % (4006)------------------------------
% 0.29/1.36 % (4006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.36 % (4006)Termination reason: Unknown
% 0.29/1.36 % (4006)Termination phase: Saturation
% 0.29/1.36
% 0.29/1.36 % (4006)Memory used [KB]: 5756
% 0.29/1.36 % (4006)Time elapsed: 0.019 s
% 0.29/1.36 % (4006)Instructions burned: 28 (million)
% 0.29/1.36 % (4006)------------------------------
% 0.29/1.36 % (4006)------------------------------
% 0.29/1.36 % (4013)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_3887 for (2999ds/15Mi)
% 0.29/1.36 % (4015)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_3887 for (2999ds/1041Mi)
% 0.29/1.36 % (4017)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/16Mi)
% 0.29/1.37 % (4018)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_3887 for (2999ds/3Mi)
% 0.29/1.37 % (4018)Instruction limit reached!
% 0.29/1.37 % (4018)------------------------------
% 0.29/1.37 % (4018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.37 % (4018)Termination reason: Unknown
% 0.29/1.37 % (4018)Termination phase: Property scanning
% 0.29/1.37
% 0.29/1.37 % (4018)Memory used [KB]: 1023
% 0.29/1.37 % (4018)Time elapsed: 0.003 s
% 0.29/1.37 % (4018)Instructions burned: 4 (million)
% 0.29/1.37 % (4018)------------------------------
% 0.29/1.37 % (4018)------------------------------
% 0.29/1.37 % (4016)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/7Mi)
% 0.29/1.37 % (4013)Refutation not found, incomplete strategy
% 0.29/1.37 % (4013)------------------------------
% 0.29/1.37 % (4013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.37 % (4013)Termination reason: Refutation not found, incomplete strategy
% 0.29/1.37
% 0.29/1.37
% 0.29/1.37 % (4013)Memory used [KB]: 5628
% 0.29/1.37 % (4013)Time elapsed: 0.009 s
% 0.29/1.37 % (4017)Instruction limit reached!
% 0.29/1.37 % (4017)------------------------------
% 0.29/1.37 % (4017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.37 % (4017)Termination reason: Unknown
% 0.29/1.37 % (4017)Termination phase: Saturation
% 0.29/1.37
% 0.29/1.37 % (4017)Memory used [KB]: 5628
% 0.29/1.37 % (4017)Time elapsed: 0.006 s
% 0.29/1.37 % (4017)Instructions burned: 18 (million)
% 0.29/1.37 % (4017)------------------------------
% 0.29/1.37 % (4017)------------------------------
% 0.29/1.37 % (4013)Instructions burned: 13 (million)
% 0.29/1.37 % (4013)------------------------------
% 0.29/1.37 % (4013)------------------------------
% 0.29/1.37 % (4016)Instruction limit reached!
% 0.29/1.37 % (4016)------------------------------
% 0.29/1.37 % (4016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.37 % (4016)Termination reason: Unknown
% 0.29/1.37 % (4016)Termination phase: Property scanning
% 0.29/1.37
% 0.29/1.37 % (4016)Memory used [KB]: 1023
% 0.29/1.37 % (4016)Time elapsed: 0.006 s
% 0.29/1.37 % (4016)Instructions burned: 8 (million)
% 0.29/1.37 % (4016)------------------------------
% 0.29/1.37 % (4016)------------------------------
% 0.29/1.38 % (4019)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_3887 for (2999ds/3Mi)
% 0.29/1.38 % (4019)Instruction limit reached!
% 0.29/1.38 % (4019)------------------------------
% 0.29/1.38 % (4019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.38 % (4019)Termination reason: Unknown
% 0.29/1.38 % (4019)Termination phase: shuffling
% 0.29/1.38
% 0.29/1.38 % (4019)Memory used [KB]: 1023
% 0.29/1.38 % (4019)Time elapsed: 0.004 s
% 0.29/1.38 % (4019)Instructions burned: 4 (million)
% 0.29/1.38 % (4019)------------------------------
% 0.29/1.38 % (4019)------------------------------
% 0.29/1.38 % (4021)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/3Mi)
% 0.29/1.38 % (4020)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/7Mi)
% 0.29/1.38 % (4021)Instruction limit reached!
% 0.29/1.38 % (4021)------------------------------
% 0.29/1.38 % (4021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.38 % (4021)Termination reason: Unknown
% 0.29/1.38 % (4021)Termination phase: shuffling
% 0.29/1.38
% 0.29/1.38 % (4021)Memory used [KB]: 1023
% 0.29/1.38 % (4021)Time elapsed: 0.002 s
% 0.29/1.38 % (4021)Instructions burned: 4 (million)
% 0.29/1.38 % (4021)------------------------------
% 0.29/1.38 % (4021)------------------------------
% 0.29/1.38 % (4020)Instruction limit reached!
% 0.29/1.38 % (4020)------------------------------
% 0.29/1.38 % (4020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.38 % (4020)Termination reason: Unknown
% 0.29/1.38 % (4020)Termination phase: Function definition elimination
% 0.29/1.38
% 0.29/1.38 % (4020)Memory used [KB]: 1023
% 0.29/1.38 % (4020)Time elapsed: 0.004 s
% 0.29/1.38 % (4020)Instructions burned: 8 (million)
% 0.29/1.38 % (4020)------------------------------
% 0.29/1.38 % (4020)------------------------------
% 0.29/1.39 % (4022)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/4Mi)
% 0.29/1.39 % (4022)Instruction limit reached!
% 0.29/1.39 % (4022)------------------------------
% 0.29/1.39 % (4022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.39 % (4022)Termination reason: Unknown
% 0.29/1.39 % (4022)Termination phase: Property scanning
% 0.29/1.39
% 0.29/1.39 % (4022)Memory used [KB]: 1023
% 0.29/1.39 % (4022)Time elapsed: 0.004 s
% 0.29/1.39 % (4022)Instructions burned: 5 (million)
% 0.29/1.39 % (4022)------------------------------
% 0.29/1.39 % (4022)------------------------------
% 0.29/1.39 % (4025)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/6Mi)
% 0.29/1.39 % (4023)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/18Mi)
% 0.29/1.39 % (4025)Instruction limit reached!
% 0.29/1.39 % (4025)------------------------------
% 0.29/1.39 % (4025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.39 % (4025)Termination reason: Unknown
% 0.29/1.39 % (4025)Termination phase: Property scanning
% 0.29/1.39
% 0.29/1.39 % (4025)Memory used [KB]: 1023
% 0.29/1.39 % (4025)Time elapsed: 0.003 s
% 0.29/1.39 % (4025)Instructions burned: 7 (million)
% 0.29/1.39 % (4025)------------------------------
% 0.29/1.39 % (4025)------------------------------
% 0.29/1.39 % (4026)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_3887 for (2999ds/902Mi)
% 0.29/1.39 % (4026)Refutation not found, incomplete strategy
% 0.29/1.39 % (4026)------------------------------
% 0.29/1.39 % (4026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.39 % (4026)Termination reason: Refutation not found, incomplete strategy
% 0.29/1.39
% 0.29/1.39
% 0.29/1.39 % (4026)Memory used [KB]: 5628
% 0.29/1.39 % (4026)Time elapsed: 0.004 s
% 0.29/1.39 % (4026)Instructions burned: 7 (million)
% 0.29/1.39 % (4026)------------------------------
% 0.29/1.39 % (4026)------------------------------
% 0.29/1.39 % (4024)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/710Mi)
% 0.29/1.40 % (4023)Instruction limit reached!
% 0.29/1.40 % (4023)------------------------------
% 0.29/1.40 % (4023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.29/1.40 % (4023)Termination reason: Unknown
% 0.29/1.40 % (4023)Termination phase: Saturation
% 0.29/1.40
% 0.29/1.40 % (4023)Memory used [KB]: 5756
% 0.29/1.40 % (4023)Time elapsed: 0.008 s
% 0.29/1.40 % (4023)Instructions burned: 18 (million)
% 0.29/1.40 % (4023)------------------------------
% 0.29/1.40 % (4023)------------------------------
% 1.85/1.40 % (4024)Refutation not found, incomplete strategy
% 1.85/1.40 % (4024)------------------------------
% 1.85/1.40 % (4024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.40 % (4024)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.40
% 1.85/1.40
% 1.85/1.40 % (4024)Memory used [KB]: 5500
% 1.85/1.40 % (4024)Time elapsed: 0.005 s
% 1.85/1.40 % (4024)Instructions burned: 6 (million)
% 1.85/1.40 % (4024)------------------------------
% 1.85/1.40 % (4024)------------------------------
% 1.85/1.40 % (4028)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/5Mi)
% 1.85/1.40 % (4028)Instruction limit reached!
% 1.85/1.40 % (4028)------------------------------
% 1.85/1.40 % (4028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.40 % (4028)Termination reason: Unknown
% 1.85/1.40 % (4028)Termination phase: Property scanning
% 1.85/1.40
% 1.85/1.40 % (4028)Memory used [KB]: 1023
% 1.85/1.40 % (4028)Time elapsed: 0.002 s
% 1.85/1.40 % (4028)Instructions burned: 5 (million)
% 1.85/1.40 % (4028)------------------------------
% 1.85/1.40 % (4028)------------------------------
% 1.85/1.40 % (4029)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_3887 for (2999ds/6Mi)
% 1.85/1.41 % (4030)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/377Mi)
% 1.85/1.41 % (4027)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_3887 for (2999ds/21Mi)
% 1.85/1.41 % (4029)Instruction limit reached!
% 1.85/1.41 % (4029)------------------------------
% 1.85/1.41 % (4029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.41 % (4029)Termination reason: Unknown
% 1.85/1.41 % (4029)Termination phase: Saturation
% 1.85/1.41
% 1.85/1.41 % (4029)Memory used [KB]: 1023
% 1.85/1.41 % (4029)Time elapsed: 0.004 s
% 1.85/1.41 % (4029)Instructions burned: 8 (million)
% 1.85/1.41 % (4029)------------------------------
% 1.85/1.41 % (4029)------------------------------
% 1.85/1.41 % (4027)Refutation not found, incomplete strategy
% 1.85/1.41 % (4027)------------------------------
% 1.85/1.41 % (4027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.41 % (4027)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.41
% 1.85/1.41
% 1.85/1.41 % (4027)Memory used [KB]: 5500
% 1.85/1.41 % (4027)Time elapsed: 0.005 s
% 1.85/1.41 % (4027)Instructions burned: 5 (million)
% 1.85/1.41 % (4027)------------------------------
% 1.85/1.41 % (4027)------------------------------
% 1.85/1.41 % (4032)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_3887 for (2999ds/19Mi)
% 1.85/1.41 % (4032)Refutation not found, incomplete strategy
% 1.85/1.41 % (4032)------------------------------
% 1.85/1.41 % (4032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.41 % (4032)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.41
% 1.85/1.41
% 1.85/1.41 % (4032)Memory used [KB]: 5628
% 1.85/1.41 % (4032)Time elapsed: 0.005 s
% 1.85/1.41 % (4032)Instructions burned: 14 (million)
% 1.85/1.41 % (4032)------------------------------
% 1.85/1.41 % (4032)------------------------------
% 1.85/1.42 % (4031)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_3887 for (2999ds/779Mi)
% 1.85/1.42 % (4033)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/879Mi)
% 1.85/1.42 % (4004)Instruction limit reached!
% 1.85/1.42 % (4004)------------------------------
% 1.85/1.42 % (4004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.42 % (4004)Termination reason: Unknown
% 1.85/1.42 % (4004)Termination phase: Saturation
% 1.85/1.42
% 1.85/1.42 % (4004)Memory used [KB]: 7036
% 1.85/1.42 % (4004)Time elapsed: 0.079 s
% 1.85/1.42 % (4004)Instructions burned: 184 (million)
% 1.85/1.42 % (4004)------------------------------
% 1.85/1.42 % (4004)------------------------------
% 1.85/1.42 % (4033)Refutation not found, incomplete strategy
% 1.85/1.42 % (4033)------------------------------
% 1.85/1.42 % (4033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.42 % (4033)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.42
% 1.85/1.42
% 1.85/1.42 % (4033)Memory used [KB]: 5500
% 1.85/1.42 % (4033)Time elapsed: 0.003 s
% 1.85/1.42 % (4033)Instructions burned: 5 (million)
% 1.85/1.42 % (4033)------------------------------
% 1.85/1.42 % (4033)------------------------------
% 1.85/1.42 % (4035)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/3Mi)
% 1.85/1.42 % (4035)Instruction limit reached!
% 1.85/1.42 % (4035)------------------------------
% 1.85/1.42 % (4035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.42 % (4035)Termination reason: Unknown
% 1.85/1.42 % (4035)Termination phase: Property scanning
% 1.85/1.42
% 1.85/1.42 % (4035)Memory used [KB]: 1023
% 1.85/1.42 % (4035)Time elapsed: 0.002 s
% 1.85/1.42 % (4035)Instructions burned: 4 (million)
% 1.85/1.42 % (4035)------------------------------
% 1.85/1.42 % (4035)------------------------------
% 1.85/1.43 % (4034)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/17Mi)
% 1.85/1.43 % (4036)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/30Mi)
% 1.85/1.43 % (4037)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_3887 for (2999ds/127Mi)
% 1.85/1.43 % (4038)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_3887 for (2998ds/100Mi)
% 1.85/1.44 % (4034)Instruction limit reached!
% 1.85/1.44 % (4034)------------------------------
% 1.85/1.44 % (4034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.44 % (4034)Termination reason: Unknown
% 1.85/1.44 % (4034)Termination phase: Saturation
% 1.85/1.44
% 1.85/1.44 % (4034)Memory used [KB]: 5628
% 1.85/1.44 % (4034)Time elapsed: 0.012 s
% 1.85/1.44 % (4034)Instructions burned: 17 (million)
% 1.85/1.44 % (4034)------------------------------
% 1.85/1.44 % (4034)------------------------------
% 1.85/1.44 % (4036)Instruction limit reached!
% 1.85/1.44 % (4036)------------------------------
% 1.85/1.44 % (4036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.44 % (4036)Termination reason: Unknown
% 1.85/1.44 % (4036)Termination phase: Saturation
% 1.85/1.44
% 1.85/1.44 % (4036)Memory used [KB]: 5756
% 1.85/1.44 % (4036)Time elapsed: 0.012 s
% 1.85/1.44 % (4036)Instructions burned: 30 (million)
% 1.85/1.44 % (4036)------------------------------
% 1.85/1.44 % (4036)------------------------------
% 1.85/1.45 % (4040)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_3887 for (2998ds/20Mi)
% 1.85/1.45 % (4040)Refutation not found, incomplete strategy
% 1.85/1.45 % (4040)------------------------------
% 1.85/1.45 % (4040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.45 % (4040)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.45
% 1.85/1.45
% 1.85/1.45 % (4040)Memory used [KB]: 5500
% 1.85/1.45 % (4040)Time elapsed: 0.003 s
% 1.85/1.45 % (4040)Instructions burned: 4 (million)
% 1.85/1.45 % (4040)------------------------------
% 1.85/1.45 % (4040)------------------------------
% 1.85/1.46 % (4039)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_3887 for (2998ds/3Mi)
% 1.85/1.46 % (4039)Instruction limit reached!
% 1.85/1.46 % (4039)------------------------------
% 1.85/1.46 % (4039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.46 % (4039)Termination reason: Unknown
% 1.85/1.46 % (4039)Termination phase: shuffling
% 1.85/1.46
% 1.85/1.46 % (4039)Memory used [KB]: 1023
% 1.85/1.46 % (4039)Time elapsed: 0.003 s
% 1.85/1.46 % (4039)Instructions burned: 3 (million)
% 1.85/1.46 % (4039)------------------------------
% 1.85/1.46 % (4039)------------------------------
% 1.85/1.46 % (4041)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_3887 for (2998ds/86Mi)
% 1.85/1.46 % (4038)Instruction limit reached!
% 1.85/1.46 % (4038)------------------------------
% 1.85/1.46 % (4038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.46 % (4038)Termination reason: Unknown
% 1.85/1.46 % (4038)Termination phase: Saturation
% 1.85/1.46
% 1.85/1.46 % (4038)Memory used [KB]: 6012
% 1.85/1.46 % (4038)Time elapsed: 0.031 s
% 1.85/1.46 % (4038)Instructions burned: 102 (million)
% 1.85/1.46 % (4038)------------------------------
% 1.85/1.46 % (4038)------------------------------
% 1.85/1.47 % (4042)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_3887 for (2998ds/107Mi)
% 1.85/1.47 % (4037)Instruction limit reached!
% 1.85/1.47 % (4037)------------------------------
% 1.85/1.47 % (4037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.47 % (4037)Termination reason: Unknown
% 1.85/1.47 % (4037)Termination phase: Saturation
% 1.85/1.47
% 1.85/1.47 % (4037)Memory used [KB]: 6140
% 1.85/1.47 % (4037)Time elapsed: 0.041 s
% 1.85/1.47 % (4037)Instructions burned: 128 (million)
% 1.85/1.47 % (4037)------------------------------
% 1.85/1.47 % (4037)------------------------------
% 1.85/1.47 % (4042)Refutation not found, incomplete strategy
% 1.85/1.47 % (4042)------------------------------
% 1.85/1.47 % (4042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.47 % (4042)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.47
% 1.85/1.47
% 1.85/1.47 % (4042)Memory used [KB]: 5500
% 1.85/1.47 % (4042)Time elapsed: 0.003 s
% 1.85/1.47 % (4042)Instructions burned: 6 (million)
% 1.85/1.47 % (4042)------------------------------
% 1.85/1.47 % (4042)------------------------------
% 1.85/1.47 % (4043)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_3887 for (2998ds/39Mi)
% 1.85/1.48 % (4044)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_3887 for (2998ds/448Mi)
% 1.85/1.48 % (4045)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_3887 for (2998ds/46Mi)
% 1.85/1.48 % (4045)Refutation not found, incomplete strategy
% 1.85/1.48 % (4045)------------------------------
% 1.85/1.48 % (4045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.48 % (4045)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.48
% 1.85/1.48
% 1.85/1.48 % (4045)Memory used [KB]: 5500
% 1.85/1.48 % (4045)Time elapsed: 0.003 s
% 1.85/1.48 % (4045)Instructions burned: 4 (million)
% 1.85/1.48 % (4045)------------------------------
% 1.85/1.48 % (4045)------------------------------
% 1.85/1.49 % (4043)Instruction limit reached!
% 1.85/1.49 % (4043)------------------------------
% 1.85/1.49 % (4043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.49 % (4043)Termination reason: Unknown
% 1.85/1.49 % (4043)Termination phase: Saturation
% 1.85/1.49
% 1.85/1.49 % (4043)Memory used [KB]: 5884
% 1.85/1.49 % (4043)Time elapsed: 0.013 s
% 1.85/1.49 % (4043)Instructions burned: 41 (million)
% 1.85/1.49 % (4043)------------------------------
% 1.85/1.49 % (4043)------------------------------
% 1.85/1.49 % (4041)Instruction limit reached!
% 1.85/1.49 % (4041)------------------------------
% 1.85/1.49 % (4041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.49 % (4041)Termination reason: Unknown
% 1.85/1.49 % (4041)Termination phase: Saturation
% 1.85/1.49
% 1.85/1.49 % (4041)Memory used [KB]: 6012
% 1.85/1.49 % (4041)Time elapsed: 0.030 s
% 1.85/1.49 % (4041)Instructions burned: 87 (million)
% 1.85/1.49 % (4041)------------------------------
% 1.85/1.49 % (4041)------------------------------
% 1.85/1.49 % (4046)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_3887 for (2998ds/98Mi)
% 1.85/1.49 % (4047)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_3887 for (2998ds/507Mi)
% 1.85/1.50 % (4047)Refutation not found, incomplete strategy
% 1.85/1.50 % (4047)------------------------------
% 1.85/1.50 % (4047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.50 % (4047)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.50
% 1.85/1.50
% 1.85/1.50 % (4048)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_3887 for (2998ds/149Mi)
% 1.85/1.50 % (4047)Memory used [KB]: 5628
% 1.85/1.50 % (4047)Time elapsed: 0.005 s
% 1.85/1.50 % (4047)Instructions burned: 11 (million)
% 1.85/1.50 % (4047)------------------------------
% 1.85/1.50 % (4047)------------------------------
% 1.85/1.51 % (4049)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_3887 for (2998ds/39Mi)
% 1.85/1.51 % (4030)Instruction limit reached!
% 1.85/1.51 % (4030)------------------------------
% 1.85/1.51 % (4030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.51 % (4030)Termination reason: Unknown
% 1.85/1.51 % (4030)Termination phase: Saturation
% 1.85/1.51
% 1.85/1.51 % (4030)Memory used [KB]: 6140
% 1.85/1.51 % (4030)Time elapsed: 0.111 s
% 1.85/1.51 % (4030)Instructions burned: 377 (million)
% 1.85/1.51 % (4030)------------------------------
% 1.85/1.51 % (4030)------------------------------
% 1.85/1.52 % (4049)Instruction limit reached!
% 1.85/1.52 % (4049)------------------------------
% 1.85/1.52 % (4049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.52 % (4049)Termination reason: Unknown
% 1.85/1.52 % (4049)Termination phase: Saturation
% 1.85/1.52
% 1.85/1.52 % (4049)Memory used [KB]: 5756
% 1.85/1.52 % (4049)Time elapsed: 0.013 s
% 1.85/1.52 % (4049)Instructions burned: 39 (million)
% 1.85/1.52 % (4049)------------------------------
% 1.85/1.52 % (4049)------------------------------
% 1.85/1.52 % (4050)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_3887 for (2998ds/6Mi)
% 1.85/1.52 % (4046)Instruction limit reached!
% 1.85/1.52 % (4046)------------------------------
% 1.85/1.52 % (4046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.52 % (4046)Termination reason: Unknown
% 1.85/1.52 % (4046)Termination phase: Saturation
% 1.85/1.53
% 1.85/1.53 % (4046)Memory used [KB]: 1535
% 1.85/1.53 % (4046)Time elapsed: 0.034 s
% 1.85/1.53 % (4046)Instructions burned: 99 (million)
% 1.85/1.53 % (4046)------------------------------
% 1.85/1.53 % (4046)------------------------------
% 1.85/1.53 % (4050)Instruction limit reached!
% 1.85/1.53 % (4050)------------------------------
% 1.85/1.53 % (4050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.53 % (4050)Termination reason: Unknown
% 1.85/1.53 % (4050)Termination phase: Property scanning
% 1.85/1.53
% 1.85/1.53 % (4050)Memory used [KB]: 1023
% 1.85/1.53 % (4050)Time elapsed: 0.004 s
% 1.85/1.53 % (4050)Instructions burned: 8 (million)
% 1.85/1.53 % (4050)------------------------------
% 1.85/1.53 % (4050)------------------------------
% 1.85/1.53 % (4051)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_3887 for (2998ds/1087Mi)
% 1.85/1.53 % (4051)Refutation not found, incomplete strategy
% 1.85/1.53 % (4051)------------------------------
% 1.85/1.53 % (4051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.53 % (4051)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.53
% 1.85/1.53
% 1.85/1.53 % (4051)Memory used [KB]: 5500
% 1.85/1.53 % (4051)Time elapsed: 0.002 s
% 1.85/1.53 % (4051)Instructions burned: 4 (million)
% 1.85/1.53 % (4051)------------------------------
% 1.85/1.53 % (4051)------------------------------
% 1.85/1.54 % (4052)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_3887 for (2998ds/47Mi)
% 1.85/1.54 % (4053)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_3887 for (2998ds/44Mi)
% 1.85/1.54 % (4054)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_3887 for (2997ds/432Mi)
% 1.85/1.55 % (4048)Instruction limit reached!
% 1.85/1.55 % (4048)------------------------------
% 1.85/1.55 % (4048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.55 % (4048)Termination reason: Unknown
% 1.85/1.55 % (4048)Termination phase: Saturation
% 1.85/1.55
% 1.85/1.55 % (4048)Memory used [KB]: 6268
% 1.85/1.55 % (4048)Time elapsed: 0.050 s
% 1.85/1.55 % (4048)Instructions burned: 150 (million)
% 1.85/1.55 % (4048)------------------------------
% 1.85/1.55 % (4048)------------------------------
% 1.85/1.55 % (4052)Instruction limit reached!
% 1.85/1.55 % (4052)------------------------------
% 1.85/1.55 % (4052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.55 % (4053)Instruction limit reached!
% 1.85/1.55 % (4053)------------------------------
% 1.85/1.55 % (4053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.55 % (4053)Termination reason: Unknown
% 1.85/1.55 % (4053)Termination phase: Saturation
% 1.85/1.55
% 1.85/1.55 % (4053)Memory used [KB]: 1279
% 1.85/1.55 % (4053)Time elapsed: 0.016 s
% 1.85/1.55 % (4053)Instructions burned: 45 (million)
% 1.85/1.55 % (4053)------------------------------
% 1.85/1.55 % (4053)------------------------------
% 1.85/1.55 % (4052)Termination reason: Unknown
% 1.85/1.55 % (4052)Termination phase: Saturation
% 1.85/1.55
% 1.85/1.55 % (4052)Memory used [KB]: 5628
% 1.85/1.55 % (4052)Time elapsed: 0.018 s
% 1.85/1.55 % (4052)Instructions burned: 49 (million)
% 1.85/1.55 % (4052)------------------------------
% 1.85/1.55 % (4052)------------------------------
% 1.85/1.56 % (4055)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_3887 for (2997ds/62Mi)
% 1.85/1.56 % (4056)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_3887 for (2997ds/31Mi)
% 1.85/1.56 % (4057)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_3887 for (2997ds/96Mi)
% 1.85/1.57 % (4056)Instruction limit reached!
% 1.85/1.57 % (4056)------------------------------
% 1.85/1.57 % (4056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.57 % (4056)Termination reason: Unknown
% 1.85/1.57 % (4056)Termination phase: Saturation
% 1.85/1.57
% 1.85/1.57 % (4056)Memory used [KB]: 5756
% 1.85/1.57 % (4056)Time elapsed: 0.012 s
% 1.85/1.57 % (4056)Instructions burned: 31 (million)
% 1.85/1.57 % (4056)------------------------------
% 1.85/1.57 % (4056)------------------------------
% 1.85/1.58 % (4055)Instruction limit reached!
% 1.85/1.58 % (4055)------------------------------
% 1.85/1.58 % (4055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.58 % (4055)Termination reason: Unknown
% 1.85/1.58 % (4055)Termination phase: Saturation
% 1.85/1.58
% 1.85/1.58 % (4055)Memory used [KB]: 6012
% 1.85/1.58 % (4055)Time elapsed: 0.022 s
% 1.85/1.58 % (4055)Instructions burned: 62 (million)
% 1.85/1.58 % (4055)------------------------------
% 1.85/1.58 % (4055)------------------------------
% 1.85/1.58 % (4058)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_3887 for (2997ds/453Mi)
% 1.85/1.59 % (4059)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_3887 for (2997ds/71Mi)
% 1.85/1.59 % (4057)Instruction limit reached!
% 1.85/1.59 % (4057)------------------------------
% 1.85/1.59 % (4057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.59 % (4057)Termination reason: Unknown
% 1.85/1.59 % (4057)Termination phase: Saturation
% 1.85/1.59
% 1.85/1.59 % (4057)Memory used [KB]: 6012
% 1.85/1.59 % (4057)Time elapsed: 0.034 s
% 1.85/1.59 % (4057)Instructions burned: 97 (million)
% 1.85/1.59 % (4057)------------------------------
% 1.85/1.59 % (4057)------------------------------
% 1.85/1.60 % (4060)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_3887 for (2997ds/83Mi)
% 1.85/1.61 % (4060)Refutation not found, incomplete strategy
% 1.85/1.61 % (4060)------------------------------
% 1.85/1.61 % (4060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.61 % (4060)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.61
% 1.85/1.61
% 1.85/1.61 % (4060)Memory used [KB]: 5500
% 1.85/1.61 % (4060)Time elapsed: 0.003 s
% 1.85/1.61 % (4060)Instructions burned: 3 (million)
% 1.85/1.61 % (4060)------------------------------
% 1.85/1.61 % (4060)------------------------------
% 1.85/1.61 % (4044)Instruction limit reached!
% 1.85/1.61 % (4044)------------------------------
% 1.85/1.61 % (4044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.61 % (4044)Termination reason: Unknown
% 1.85/1.61 % (4044)Termination phase: Saturation
% 1.85/1.61
% 1.85/1.61 % (4044)Memory used [KB]: 6268
% 1.85/1.61 % (4044)Time elapsed: 0.131 s
% 1.85/1.61 % (4044)Instructions burned: 448 (million)
% 1.85/1.61 % (4044)------------------------------
% 1.85/1.61 % (4044)------------------------------
% 1.85/1.61 % (4059)Instruction limit reached!
% 1.85/1.61 % (4059)------------------------------
% 1.85/1.61 % (4059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.61 % (4059)Termination reason: Unknown
% 1.85/1.61 % (4059)Termination phase: Saturation
% 1.85/1.61
% 1.85/1.61 % (4059)Memory used [KB]: 6012
% 1.85/1.61 % (4059)Time elapsed: 0.027 s
% 1.85/1.61 % (4059)Instructions burned: 73 (million)
% 1.85/1.61 % (4059)------------------------------
% 1.85/1.61 % (4059)------------------------------
% 1.85/1.62 % (4061)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_3887 for (2997ds/11Mi)
% 1.85/1.62 % (4062)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_3887 for (2997ds/41Mi)
% 1.85/1.62 % (4061)Instruction limit reached!
% 1.85/1.62 % (4061)------------------------------
% 1.85/1.62 % (4061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.62 % (4061)Termination reason: Unknown
% 1.85/1.62 % (4061)Termination phase: Saturation
% 1.85/1.62
% 1.85/1.62 % (4061)Memory used [KB]: 1151
% 1.85/1.62 % (4061)Time elapsed: 0.005 s
% 1.85/1.62 % (4061)Instructions burned: 12 (million)
% 1.85/1.62 % (4061)------------------------------
% 1.85/1.62 % (4061)------------------------------
% 1.85/1.62 % (4063)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_3887 for (2997ds/6Mi)
% 1.85/1.63 % (4063)Instruction limit reached!
% 1.85/1.63 % (4063)------------------------------
% 1.85/1.63 % (4063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.63 % (4063)Termination reason: Unknown
% 1.85/1.63 % (4063)Termination phase: Function definition elimination
% 1.85/1.63
% 1.85/1.63 % (4063)Memory used [KB]: 1023
% 1.85/1.63 % (4063)Time elapsed: 0.004 s
% 1.85/1.63 % (4063)Instructions burned: 8 (million)
% 1.85/1.63 % (4063)------------------------------
% 1.85/1.63 % (4063)------------------------------
% 1.85/1.63 % (4062)Instruction limit reached!
% 1.85/1.63 % (4062)------------------------------
% 1.85/1.63 % (4062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.63 % (4062)Termination reason: Unknown
% 1.85/1.63 % (4062)Termination phase: Saturation
% 1.85/1.63
% 1.85/1.63 % (4062)Memory used [KB]: 5884
% 1.85/1.63 % (4062)Time elapsed: 0.013 s
% 1.85/1.63 % (4062)Instructions burned: 42 (million)
% 1.85/1.63 % (4062)------------------------------
% 1.85/1.63 % (4062)------------------------------
% 1.85/1.63 % (4064)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_3887 for (2996ds/150Mi)
% 1.85/1.64 % (4065)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_3887 for (2996ds/343Mi)
% 1.85/1.64 % (4065)Refutation not found, incomplete strategy
% 1.85/1.64 % (4065)------------------------------
% 1.85/1.64 % (4065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.64 % (4065)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.64
% 1.85/1.64
% 1.85/1.64 % (4065)Memory used [KB]: 5500
% 1.85/1.64 % (4065)Time elapsed: 0.003 s
% 1.85/1.64 % (4065)Instructions burned: 4 (million)
% 1.85/1.64 % (4065)------------------------------
% 1.85/1.64 % (4065)------------------------------
% 1.85/1.64 % (4066)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_3887 for (2996ds/109Mi)
% 1.85/1.64 % (4066)Refutation not found, incomplete strategy
% 1.85/1.64 % (4066)------------------------------
% 1.85/1.64 % (4066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.64 % (4066)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.64
% 1.85/1.64
% 1.85/1.64 % (4066)Memory used [KB]: 5500
% 1.85/1.64 % (4066)Time elapsed: 0.002 s
% 1.85/1.64 % (4066)Instructions burned: 4 (million)
% 1.85/1.64 % (4066)------------------------------
% 1.85/1.64 % (4066)------------------------------
% 1.85/1.65 % (4067)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_3887 for (2996ds/253Mi)
% 1.85/1.65 % (4067)Refutation not found, incomplete strategy
% 1.85/1.65 % (4067)------------------------------
% 1.85/1.65 % (4067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.65 % (4067)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.65
% 1.85/1.65
% 1.85/1.65 % (4068)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_3887 for (2996ds/140Mi)
% 1.85/1.65 % (4067)Memory used [KB]: 5500
% 1.85/1.65 % (4067)Time elapsed: 0.003 s
% 1.85/1.65 % (4067)Instructions burned: 4 (million)
% 1.85/1.65 % (4067)------------------------------
% 1.85/1.65 % (4067)------------------------------
% 1.85/1.65 % (4068)Refutation not found, incomplete strategy
% 1.85/1.65 % (4068)------------------------------
% 1.85/1.65 % (4068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.65 % (4068)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.65
% 1.85/1.65
% 1.85/1.65 % (4068)Memory used [KB]: 5500
% 1.85/1.65 % (4068)Time elapsed: 0.002 s
% 1.85/1.65 % (4068)Instructions burned: 4 (million)
% 1.85/1.65 % (4068)------------------------------
% 1.85/1.65 % (4068)------------------------------
% 1.85/1.66 % (4069)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_3887 for (2996ds/614Mi)
% 1.85/1.66 % (4070)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_3887 for (2996ds/202Mi)
% 1.85/1.66 % (4070)Refutation not found, incomplete strategy
% 1.85/1.66 % (4070)------------------------------
% 1.85/1.66 % (4070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.66 % (4070)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.66
% 1.85/1.66
% 1.85/1.66 % (4070)Memory used [KB]: 5500
% 1.85/1.66 % (4070)Time elapsed: 0.002 s
% 1.85/1.66 % (4070)Instructions burned: 4 (million)
% 1.85/1.66 % (4070)------------------------------
% 1.85/1.66 % (4070)------------------------------
% 1.85/1.66 % (4031)Instruction limit reached!
% 1.85/1.66 % (4031)------------------------------
% 1.85/1.66 % (4031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.66 % (4031)Termination reason: Unknown
% 1.85/1.66 % (4031)Termination phase: Saturation
% 1.85/1.66
% 1.85/1.66 % (4031)Memory used [KB]: 7164
% 1.85/1.66 % (4031)Time elapsed: 0.249 s
% 1.85/1.66 % (4031)Instructions burned: 779 (million)
% 1.85/1.66 % (4031)------------------------------
% 1.85/1.66 % (4031)------------------------------
% 1.85/1.66 % (4054)Instruction limit reached!
% 1.85/1.66 % (4054)------------------------------
% 1.85/1.66 % (4054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.66 % (4054)Termination reason: Unknown
% 1.85/1.67 % (4054)Termination phase: Saturation
% 1.85/1.67
% 1.85/1.67 % (4054)Memory used [KB]: 4221
% 1.85/1.67 % (4054)Time elapsed: 0.125 s
% 1.85/1.67 % (4054)Instructions burned: 433 (million)
% 1.85/1.67 % (4054)------------------------------
% 1.85/1.67 % (4054)------------------------------
% 1.85/1.67 % (4071)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_3887 for (2996ds/339Mi)
% 1.85/1.67 % (4072)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_3887 for (2996ds/283Mi)
% 1.85/1.67 % (4071)Refutation not found, incomplete strategy
% 1.85/1.67 % (4071)------------------------------
% 1.85/1.67 % (4071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.67 % (4071)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.67
% 1.85/1.67
% 1.85/1.67 % (4071)Memory used [KB]: 5500
% 1.85/1.67 % (4071)Time elapsed: 0.002 s
% 1.85/1.67 % (4071)Instructions burned: 4 (million)
% 1.85/1.67 % (4071)------------------------------
% 1.85/1.67 % (4071)------------------------------
% 1.85/1.67 % (4073)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_3887 for (2996ds/134Mi)
% 1.85/1.68 % (4064)Instruction limit reached!
% 1.85/1.68 % (4064)------------------------------
% 1.85/1.68 % (4064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.68 % (4064)Termination reason: Unknown
% 1.85/1.68 % (4064)Termination phase: Saturation
% 1.85/1.68
% 1.85/1.68 % (4064)Memory used [KB]: 6268
% 1.85/1.68 % (4064)Time elapsed: 0.051 s
% 1.85/1.68 % (4064)Instructions burned: 151 (million)
% 1.85/1.68 % (4064)------------------------------
% 1.85/1.68 % (4064)------------------------------
% 1.85/1.68 % (4074)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_3887 for (2996ds/298Mi)
% 1.85/1.69 % (4075)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_3887 for (2996ds/192Mi)
% 1.85/1.69 % (4075)Refutation not found, incomplete strategy
% 1.85/1.69 % (4075)------------------------------
% 1.85/1.69 % (4075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.69 % (4075)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.69
% 1.85/1.69
% 1.85/1.69 % (4075)Memory used [KB]: 5628
% 1.85/1.69 % (4075)Time elapsed: 0.006 s
% 1.85/1.69 % (4075)Instructions burned: 13 (million)
% 1.85/1.69 % (4075)------------------------------
% 1.85/1.69 % (4075)------------------------------
% 1.85/1.70 % (4076)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_3887 for (2996ds/258Mi)
% 1.85/1.71 % (4076)Refutation not found, incomplete strategy
% 1.85/1.71 % (4076)------------------------------
% 1.85/1.71 % (4076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.71 % (4076)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.71
% 1.85/1.71
% 1.85/1.71 % (4076)Memory used [KB]: 5500
% 1.85/1.71 % (4076)Time elapsed: 0.002 s
% 1.85/1.71 % (4076)Instructions burned: 3 (million)
% 1.85/1.71 % (4076)------------------------------
% 1.85/1.71 % (4076)------------------------------
% 1.85/1.71 % (4073)Instruction limit reached!
% 1.85/1.71 % (4073)------------------------------
% 1.85/1.71 % (4073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.71 % (4073)Termination reason: Unknown
% 1.85/1.71 % (4073)Termination phase: Saturation
% 1.85/1.71
% 1.85/1.71 % (4073)Memory used [KB]: 6396
% 1.85/1.71 % (4073)Time elapsed: 0.041 s
% 1.85/1.71 % (4073)Instructions burned: 134 (million)
% 1.85/1.71 % (4073)------------------------------
% 1.85/1.71 % (4073)------------------------------
% 1.85/1.72 % (4058)Instruction limit reached!
% 1.85/1.72 % (4058)------------------------------
% 1.85/1.72 % (4058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.72 % (4058)Termination reason: Unknown
% 1.85/1.72 % (4058)Termination phase: Saturation
% 1.85/1.72
% 1.85/1.72 % (4058)Memory used [KB]: 6140
% 1.85/1.72 % (4058)Time elapsed: 0.135 s
% 1.85/1.72 % (4058)Instructions burned: 454 (million)
% 1.85/1.72 % (4058)------------------------------
% 1.85/1.72 % (4058)------------------------------
% 1.85/1.72 % (4077)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_3887 for (2996ds/90Mi)
% 1.85/1.72 % (4078)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_3887 for (2996ds/231Mi)
% 1.85/1.73 % (4079)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_3887 for (2996ds/458Mi)
% 1.85/1.73 % (4015)Instruction limit reached!
% 1.85/1.73 % (4015)------------------------------
% 1.85/1.73 % (4015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.73 % (4015)Termination reason: Unknown
% 1.85/1.73 % (4015)Termination phase: Saturation
% 1.85/1.73
% 1.85/1.73 % (4015)Memory used [KB]: 8059
% 1.85/1.73 % (4015)Time elapsed: 0.366 s
% 1.85/1.73 % (4015)Instructions burned: 1041 (million)
% 1.85/1.73 % (4015)------------------------------
% 1.85/1.73 % (4015)------------------------------
% 1.85/1.73 % (4079)Refutation not found, incomplete strategy
% 1.85/1.73 % (4079)------------------------------
% 1.85/1.73 % (4079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.73 % (4079)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.73
% 1.85/1.73
% 1.85/1.73 % (4079)Memory used [KB]: 5500
% 1.85/1.73 % (4079)Time elapsed: 0.003 s
% 1.85/1.73 % (4079)Instructions burned: 4 (million)
% 1.85/1.73 % (4079)------------------------------
% 1.85/1.73 % (4079)------------------------------
% 1.85/1.74 % (4083)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_3887 for (2995ds/31Mi)
% 1.85/1.74 % (4084)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_3887 for (2995ds/297Mi)
% 1.85/1.75 % (4083)Instruction limit reached!
% 1.85/1.75 % (4083)------------------------------
% 1.85/1.75 % (4083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.75 % (4083)Termination reason: Unknown
% 1.85/1.75 % (4083)Termination phase: Saturation
% 1.85/1.75
% 1.85/1.75 % (4083)Memory used [KB]: 5756
% 1.85/1.75 % (4083)Time elapsed: 0.012 s
% 1.85/1.75 % (4083)Instructions burned: 31 (million)
% 1.85/1.75 % (4083)------------------------------
% 1.85/1.75 % (4083)------------------------------
% 1.85/1.75 % (4077)Instruction limit reached!
% 1.85/1.75 % (4077)------------------------------
% 1.85/1.75 % (4077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.75 % (4077)Termination reason: Unknown
% 1.85/1.75 % (4077)Termination phase: Saturation
% 1.85/1.75
% 1.85/1.75 % (4077)Memory used [KB]: 6140
% 1.85/1.75 % (4077)Time elapsed: 0.034 s
% 1.85/1.75 % (4077)Instructions burned: 93 (million)
% 1.85/1.75 % (4077)------------------------------
% 1.85/1.75 % (4077)------------------------------
% 1.85/1.76 % (4093)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_3887 for (2995ds/987Mi)
% 1.85/1.76 % (4098)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_3887 for (2995ds/182Mi)
% 1.85/1.76 % (4072)Instruction limit reached!
% 1.85/1.76 % (4072)------------------------------
% 1.85/1.76 % (4072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.76 % (4072)Termination reason: Unknown
% 1.85/1.76 % (4072)Termination phase: Saturation
% 1.85/1.76
% 1.85/1.76 % (4072)Memory used [KB]: 6908
% 1.85/1.76 % (4072)Time elapsed: 0.091 s
% 1.85/1.76 % (4072)Instructions burned: 283 (million)
% 1.85/1.76 % (4072)------------------------------
% 1.85/1.76 % (4072)------------------------------
% 1.85/1.77 % (4101)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_3887 for (2995ds/182Mi)
% 1.85/1.78 % (4074)Instruction limit reached!
% 1.85/1.78 % (4074)------------------------------
% 1.85/1.78 % (4074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.78 % (4074)Termination reason: Unknown
% 1.85/1.78 % (4074)Termination phase: Saturation
% 1.85/1.78
% 1.85/1.78 % (4074)Memory used [KB]: 6652
% 1.85/1.78 % (4074)Time elapsed: 0.096 s
% 1.85/1.78 % (4074)Instructions burned: 299 (million)
% 1.85/1.78 % (4074)------------------------------
% 1.85/1.78 % (4074)------------------------------
% 1.85/1.79 % (4102)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_3887 for (2995ds/154Mi)
% 1.85/1.79 % (4102)Refutation not found, incomplete strategy
% 1.85/1.79 % (4102)------------------------------
% 1.85/1.79 % (4102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.79 % (4102)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.79
% 1.85/1.79
% 1.85/1.79 % (4102)Memory used [KB]: 5628
% 1.85/1.79 % (4102)Time elapsed: 0.005 s
% 1.85/1.79 % (4102)Instructions burned: 15 (million)
% 1.85/1.79 % (4102)------------------------------
% 1.85/1.79 % (4102)------------------------------
% 1.85/1.80 % (4078)Instruction limit reached!
% 1.85/1.80 % (4078)------------------------------
% 1.85/1.80 % (4078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.80 % (4078)Termination reason: Unknown
% 1.85/1.80 % (4078)Termination phase: Saturation
% 1.85/1.80
% 1.85/1.80 % (4078)Memory used [KB]: 7036
% 1.85/1.80 % (4078)Time elapsed: 0.074 s
% 1.85/1.80 % (4078)Instructions burned: 231 (million)
% 1.85/1.80 % (4078)------------------------------
% 1.85/1.80 % (4078)------------------------------
% 1.85/1.80 % (4103)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_3887 for (2995ds/79Mi)
% 1.85/1.81 % (4104)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_3887 for (2995ds/216Mi)
% 1.85/1.82 % (4098)Instruction limit reached!
% 1.85/1.82 % (4098)------------------------------
% 1.85/1.82 % (4098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.82 % (4098)Termination reason: Unknown
% 1.85/1.82 % (4098)Termination phase: Saturation
% 1.85/1.82
% 1.85/1.82 % (4098)Memory used [KB]: 6652
% 1.85/1.82 % (4098)Time elapsed: 0.058 s
% 1.85/1.82 % (4098)Instructions burned: 183 (million)
% 1.85/1.82 % (4098)------------------------------
% 1.85/1.82 % (4098)------------------------------
% 1.85/1.83 % (4084)Instruction limit reached!
% 1.85/1.83 % (4084)------------------------------
% 1.85/1.83 % (4084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.83 % (4084)Termination reason: Unknown
% 1.85/1.83 % (4084)Termination phase: Saturation
% 1.85/1.83
% 1.85/1.83 % (4084)Memory used [KB]: 6012
% 1.85/1.83 % (4084)Time elapsed: 0.089 s
% 1.85/1.83 % (4084)Instructions burned: 298 (million)
% 1.85/1.83 % (4084)------------------------------
% 1.85/1.83 % (4084)------------------------------
% 1.85/1.83 % (4103)Instruction limit reached!
% 1.85/1.83 % (4103)------------------------------
% 1.85/1.83 % (4103)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.83 % (4103)Termination reason: Unknown
% 1.85/1.83 % (4103)Termination phase: Saturation
% 1.85/1.83
% 1.85/1.83 % (4103)Memory used [KB]: 6012
% 1.85/1.83 % (4103)Time elapsed: 0.025 s
% 1.85/1.83 % (4103)Instructions burned: 82 (million)
% 1.85/1.83 % (4103)------------------------------
% 1.85/1.83 % (4103)------------------------------
% 1.85/1.83 % (4105)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_3887 for (2995ds/114Mi)
% 1.85/1.83 % (4101)Instruction limit reached!
% 1.85/1.83 % (4101)------------------------------
% 1.85/1.83 % (4101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.83 % (4101)Termination reason: Unknown
% 1.85/1.83 % (4101)Termination phase: Saturation
% 1.85/1.83
% 1.85/1.83 % (4101)Memory used [KB]: 6140
% 1.85/1.83 % (4101)Time elapsed: 0.060 s
% 1.85/1.83 % (4101)Instructions burned: 182 (million)
% 1.85/1.83 % (4101)------------------------------
% 1.85/1.83 % (4101)------------------------------
% 1.85/1.83 % (4106)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_3887 for (2995ds/922Mi)
% 1.85/1.84 % (4107)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_3887 for (2995ds/182Mi)
% 1.85/1.84 % (4106)Refutation not found, incomplete strategy
% 1.85/1.84 % (4106)------------------------------
% 1.85/1.84 % (4106)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.84 % (4106)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.84
% 1.85/1.84
% 1.85/1.84 % (4106)Memory used [KB]: 5500
% 1.85/1.84 % (4106)Time elapsed: 0.002 s
% 1.85/1.84 % (4106)Instructions burned: 4 (million)
% 1.85/1.84 % (4106)------------------------------
% 1.85/1.84 % (4106)------------------------------
% 1.85/1.84 % (4108)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_3887 for (2994ds/164Mi)
% 1.85/1.84 % (4108)Refutation not found, incomplete strategy
% 1.85/1.84 % (4108)------------------------------
% 1.85/1.84 % (4108)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.84 % (4108)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.84
% 1.85/1.84
% 1.85/1.84 % (4108)Memory used [KB]: 1023
% 1.85/1.84 % (4108)Time elapsed: 0.003 s
% 1.85/1.84 % (4108)Instructions burned: 8 (million)
% 1.85/1.84 % (4108)------------------------------
% 1.85/1.84 % (4108)------------------------------
% 1.85/1.85 % (4109)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_3887 for (2994ds/50Mi)
% 1.85/1.85 % (4069)Instruction limit reached!
% 1.85/1.85 % (4069)------------------------------
% 1.85/1.85 % (4069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.85 % (4069)Termination reason: Unknown
% 1.85/1.85 % (4069)Termination phase: Saturation
% 1.85/1.85
% 1.85/1.85 % (4069)Memory used [KB]: 6780
% 1.85/1.85 % (4110)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_3887 for (2994ds/368Mi)
% 1.85/1.85 % (4069)Time elapsed: 0.194 s
% 1.85/1.85 % (4069)Instructions burned: 615 (million)
% 1.85/1.85 % (4069)------------------------------
% 1.85/1.85 % (4069)------------------------------
% 1.85/1.86 % (4109)Instruction limit reached!
% 1.85/1.86 % (4109)------------------------------
% 1.85/1.86 % (4109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.86 % (4109)Termination reason: Unknown
% 1.85/1.86 % (4109)Termination phase: Saturation
% 1.85/1.86
% 1.85/1.86 % (4109)Memory used [KB]: 10490
% 1.85/1.86 % (4109)Time elapsed: 0.016 s
% 1.85/1.86 % (4109)Instructions burned: 51 (million)
% 1.85/1.86 % (4109)------------------------------
% 1.85/1.86 % (4109)------------------------------
% 1.85/1.86 % (4111)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_3887 for (2994ds/1021Mi)
% 1.85/1.86 % (4105)Instruction limit reached!
% 1.85/1.86 % (4105)------------------------------
% 1.85/1.86 % (4105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.86 % (4105)Termination reason: Unknown
% 1.85/1.86 % (4105)Termination phase: Saturation
% 1.85/1.86
% 1.85/1.86 % (4105)Memory used [KB]: 6396
% 1.85/1.86 % (4105)Time elapsed: 0.036 s
% 1.85/1.86 % (4105)Instructions burned: 116 (million)
% 1.85/1.86 % (4105)------------------------------
% 1.85/1.86 % (4105)------------------------------
% 1.85/1.87 % (4112)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_3887 for (2994ds/267Mi)
% 1.85/1.87 % (4104)Instruction limit reached!
% 1.85/1.87 % (4104)------------------------------
% 1.85/1.87 % (4104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.87 % (4104)Termination reason: Unknown
% 1.85/1.87 % (4104)Termination phase: Saturation
% 1.85/1.87
% 1.85/1.87 % (4104)Memory used [KB]: 6012
% 1.85/1.87 % (4104)Time elapsed: 0.067 s
% 1.85/1.87 % (4113)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_3887 for (2994ds/204Mi)
% 1.85/1.87 % (4104)Instructions burned: 219 (million)
% 1.85/1.87 % (4104)------------------------------
% 1.85/1.87 % (4104)------------------------------
% 1.85/1.87 % (4113)Refutation not found, incomplete strategy
% 1.85/1.87 % (4113)------------------------------
% 1.85/1.87 % (4113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.87 % (4113)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.87
% 1.85/1.87
% 1.85/1.87 % (4113)Memory used [KB]: 5500
% 1.85/1.87 % (4113)Time elapsed: 0.002 s
% 1.85/1.87 % (4113)Instructions burned: 4 (million)
% 1.85/1.87 % (4113)------------------------------
% 1.85/1.87 % (4113)------------------------------
% 1.85/1.88 % (4114)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_3887 for (2994ds/26Mi)
% 1.85/1.88 % (4115)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_3887 for (2994ds/53Mi)
% 1.85/1.89 % (4107)Instruction limit reached!
% 1.85/1.89 % (4107)------------------------------
% 1.85/1.89 % (4107)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.89 % (4107)Termination reason: Unknown
% 1.85/1.89 % (4107)Termination phase: Saturation
% 1.85/1.89
% 1.85/1.89 % (4107)Memory used [KB]: 6012
% 1.85/1.89 % (4107)Time elapsed: 0.053 s
% 1.85/1.89 % (4107)Instructions burned: 182 (million)
% 1.85/1.89 % (4107)------------------------------
% 1.85/1.89 % (4107)------------------------------
% 1.85/1.89 % (4114)Instruction limit reached!
% 1.85/1.89 % (4114)------------------------------
% 1.85/1.89 % (4114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.89 % (4114)Termination reason: Unknown
% 1.85/1.89 % (4114)Termination phase: Saturation
% 1.85/1.89
% 1.85/1.89 % (4114)Memory used [KB]: 5756
% 1.85/1.89 % (4114)Time elapsed: 0.009 s
% 1.85/1.89 % (4114)Instructions burned: 27 (million)
% 1.85/1.89 % (4114)------------------------------
% 1.85/1.89 % (4114)------------------------------
% 1.85/1.90 % (4116)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_3887 for (2994ds/4436Mi)
% 1.85/1.90 % (4116)Refutation not found, incomplete strategy
% 1.85/1.90 % (4116)------------------------------
% 1.85/1.90 % (4116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.90 % (4116)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.90
% 1.85/1.90
% 1.85/1.90 % (4116)Memory used [KB]: 5500
% 1.85/1.90 % (4116)Time elapsed: 0.002 s
% 1.85/1.90 % (4116)Instructions burned: 4 (million)
% 1.85/1.90 % (4116)------------------------------
% 1.85/1.90 % (4116)------------------------------
% 1.85/1.90 % (4117)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_3887 for (2994ds/1539Mi)
% 1.85/1.90 % (4115)Instruction limit reached!
% 1.85/1.90 % (4115)------------------------------
% 1.85/1.90 % (4115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.90 % (4115)Termination reason: Unknown
% 1.85/1.90 % (4115)Termination phase: Saturation
% 1.85/1.90
% 1.85/1.90 % (4115)Memory used [KB]: 6012
% 1.85/1.90 % (4115)Time elapsed: 0.017 s
% 1.85/1.90 % (4115)Instructions burned: 54 (million)
% 1.85/1.90 % (4115)------------------------------
% 1.85/1.90 % (4115)------------------------------
% 1.85/1.91 % (4118)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_3887 for (2994ds/408Mi)
% 1.85/1.91 % (4119)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_3887 for (2994ds/5205Mi)
% 1.85/1.91 % (4118)Refutation not found, incomplete strategy
% 1.85/1.91 % (4118)------------------------------
% 1.85/1.91 % (4118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.91 % (4118)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.91
% 1.85/1.91
% 1.85/1.91 % (4118)Memory used [KB]: 5628
% 1.85/1.91 % (4118)Time elapsed: 0.004 s
% 1.85/1.91 % (4118)Instructions burned: 8 (million)
% 1.85/1.91 % (4118)------------------------------
% 1.85/1.91 % (4118)------------------------------
% 1.85/1.92 % (4120)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_3887 for (2994ds/1913Mi)
% 1.85/1.92 % (4120)Refutation not found, incomplete strategy
% 1.85/1.92 % (4120)------------------------------
% 1.85/1.92 % (4120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.92 % (4120)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.92
% 1.85/1.92
% 1.85/1.92 % (4120)Memory used [KB]: 1023
% 1.85/1.92 % (4120)Time elapsed: 0.002 s
% 1.85/1.92 % (4120)Instructions burned: 4 (million)
% 1.85/1.92 % (4120)------------------------------
% 1.85/1.92 % (4120)------------------------------
% 1.85/1.93 % (4121)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_3887 for (2994ds/4350Mi)
% 1.85/1.93 % (4121)Refutation not found, incomplete strategy
% 1.85/1.93 % (4121)------------------------------
% 1.85/1.93 % (4121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.93 % (4121)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.93
% 1.85/1.93
% 1.85/1.93 % (4121)Memory used [KB]: 5500
% 1.85/1.93 % (4121)Time elapsed: 0.002 s
% 1.85/1.93 % (4121)Instructions burned: 4 (million)
% 1.85/1.93 % (4121)------------------------------
% 1.85/1.93 % (4121)------------------------------
% 1.85/1.94 % (4122)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_3887 for (2993ds/68Mi)
% 1.85/1.94 % (4122)Refutation not found, incomplete strategy
% 1.85/1.94 % (4122)------------------------------
% 1.85/1.94 % (4122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.94 % (4122)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.94
% 1.85/1.94
% 1.85/1.94 % (4122)Memory used [KB]: 5500
% 1.85/1.94 % (4122)Time elapsed: 0.002 s
% 1.85/1.94 % (4122)Instructions burned: 4 (million)
% 1.85/1.94 % (4122)------------------------------
% 1.85/1.94 % (4122)------------------------------
% 1.85/1.95 % (4112)Instruction limit reached!
% 1.85/1.95 % (4112)------------------------------
% 1.85/1.95 % (4112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.95 % (4112)Termination reason: Unknown
% 1.85/1.95 % (4112)Termination phase: Saturation
% 1.85/1.95
% 1.85/1.95 % (4112)Memory used [KB]: 6396
% 1.85/1.95 % (4112)Time elapsed: 0.082 s
% 1.85/1.95 % (4112)Instructions burned: 268 (million)
% 1.85/1.95 % (4112)------------------------------
% 1.85/1.95 % (4112)------------------------------
% 1.85/1.95 % (4123)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_3887 for (2993ds/358Mi)
% 1.85/1.96 % (4123)Refutation not found, incomplete strategy
% 1.85/1.96 % (4123)------------------------------
% 1.85/1.96 % (4123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.96 % (4123)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.96
% 1.85/1.96
% 1.85/1.96 % (4123)Memory used [KB]: 5500
% 1.85/1.96 % (4123)Time elapsed: 0.002 s
% 1.85/1.96 % (4123)Instructions burned: 4 (million)
% 1.85/1.96 % (4123)------------------------------
% 1.85/1.96 % (4123)------------------------------
% 1.85/1.96 % (4124)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_3887 for (2993ds/31Mi)
% 1.85/1.97 % (4125)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_3887 for (2993ds/279Mi)
% 1.85/1.97 % (4110)Instruction limit reached!
% 1.85/1.97 % (4110)------------------------------
% 1.85/1.97 % (4110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.97 % (4110)Termination reason: Unknown
% 1.85/1.97 % (4110)Termination phase: Saturation
% 1.85/1.97
% 1.85/1.97 % (4110)Memory used [KB]: 8315
% 1.85/1.97 % (4110)Time elapsed: 0.116 s
% 1.85/1.97 % (4110)Instructions burned: 369 (million)
% 1.85/1.97 % (4110)------------------------------
% 1.85/1.97 % (4110)------------------------------
% 1.85/1.97 % (4125)Refutation not found, incomplete strategy
% 1.85/1.97 % (4125)------------------------------
% 1.85/1.97 % (4125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.97 % (4125)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.97
% 1.85/1.97
% 1.85/1.97 % (4125)Memory used [KB]: 5628
% 1.85/1.97 % (4125)Time elapsed: 0.005 s
% 1.85/1.97 % (4125)Instructions burned: 15 (million)
% 1.85/1.97 % (4125)------------------------------
% 1.85/1.97 % (4125)------------------------------
% 1.85/1.97 % (4124)Instruction limit reached!
% 1.85/1.97 % (4124)------------------------------
% 1.85/1.97 % (4124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.97 % (4124)Termination reason: Unknown
% 1.85/1.97 % (4124)Termination phase: Saturation
% 1.85/1.97
% 1.85/1.97 % (4124)Memory used [KB]: 5756
% 1.85/1.97 % (4124)Time elapsed: 0.011 s
% 1.85/1.97 % (4124)Instructions burned: 33 (million)
% 1.85/1.97 % (4124)------------------------------
% 1.85/1.97 % (4124)------------------------------
% 1.85/1.98 % (4126)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_3887 for (2993ds/258Mi)
% 1.85/1.98 % (4127)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_3887 for (2993ds/26Mi)
% 1.85/1.98 % (4128)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_3887 for (2993ds/995Mi)
% 1.85/1.99 % (4127)Instruction limit reached!
% 1.85/1.99 % (4127)------------------------------
% 1.85/1.99 % (4127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.99 % (4127)Termination reason: Unknown
% 1.85/1.99 % (4127)Termination phase: Saturation
% 1.85/1.99
% 1.85/1.99 % (4127)Memory used [KB]: 5756
% 1.85/1.99 % (4127)Time elapsed: 0.009 s
% 1.85/1.99 % (4127)Instructions burned: 27 (million)
% 1.85/1.99 % (4127)------------------------------
% 1.85/1.99 % (4127)------------------------------
% 1.85/2.00 % (4129)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_3887 for (2993ds/373Mi)
% 6.56/2.05 % (4093)Instruction limit reached!
% 6.56/2.05 % (4093)------------------------------
% 6.56/2.05 % (4093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.05 % (4093)Termination reason: Unknown
% 6.56/2.05 % (4093)Termination phase: Saturation
% 6.56/2.05
% 6.56/2.05 % (4093)Memory used [KB]: 8059
% 6.56/2.05 % (4093)Time elapsed: 0.298 s
% 6.56/2.05 % (4093)Instructions burned: 989 (million)
% 6.56/2.05 % (4093)------------------------------
% 6.56/2.05 % (4093)------------------------------
% 6.56/2.06 % (4126)Instruction limit reached!
% 6.56/2.06 % (4126)------------------------------
% 6.56/2.06 % (4126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.06 % (4126)Termination reason: Unknown
% 6.56/2.06 % (4126)Termination phase: Saturation
% 6.56/2.06
% 6.56/2.06 % (4126)Memory used [KB]: 6652
% 6.56/2.06 % (4126)Time elapsed: 0.082 s
% 6.56/2.06 % (4126)Instructions burned: 260 (million)
% 6.56/2.06 % (4126)------------------------------
% 6.56/2.06 % (4126)------------------------------
% 6.56/2.06 % (4130)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_3887 for (2992ds/253Mi)
% 6.56/2.07 % (4131)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_3887 for (2992ds/832Mi)
% 6.56/2.07 % (4131)Refutation not found, incomplete strategy
% 6.56/2.07 % (4131)------------------------------
% 6.56/2.07 % (4131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.07 % (4131)Termination reason: Refutation not found, incomplete strategy
% 6.56/2.07
% 6.56/2.07
% 6.56/2.07 % (4131)Memory used [KB]: 5628
% 6.56/2.07 % (4131)Time elapsed: 0.004 s
% 6.56/2.07 % (4131)Instructions burned: 10 (million)
% 6.56/2.07 % (4131)------------------------------
% 6.56/2.07 % (4131)------------------------------
% 6.56/2.08 % (4132)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_3887 for (2992ds/668Mi)
% 6.56/2.10 % (4129)Instruction limit reached!
% 6.56/2.10 % (4129)------------------------------
% 6.56/2.10 % (4129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.56/2.10 % (4129)Termination reason: Unknown
% 6.56/2.10 % (4129)Termination phase: Saturation
% 6.56/2.10
% 6.56/2.10 % (4129)Memory used [KB]: 7036
% 6.56/2.10 % (4129)Time elapsed: 0.108 s
% 6.56/2.10 % (4129)Instructions burned: 376 (million)
% 6.56/2.10 % (4129)------------------------------
% 6.56/2.10 % (4129)------------------------------
% 7.18/2.11 % (4133)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_3887 for (2992ds/40Mi)
% 7.18/2.13 % (4133)Instruction limit reached!
% 7.18/2.13 % (4133)------------------------------
% 7.18/2.13 % (4133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.13 % (4133)Termination reason: Unknown
% 7.18/2.13 % (4133)Termination phase: Saturation
% 7.18/2.13
% 7.18/2.13 % (4133)Memory used [KB]: 5884
% 7.18/2.13 % (4133)Time elapsed: 0.013 s
% 7.18/2.13 % (4133)Instructions burned: 40 (million)
% 7.18/2.13 % (4133)------------------------------
% 7.18/2.13 % (4133)------------------------------
% 7.18/2.13 % (4134)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_3887 for (2991ds/294Mi)
% 7.18/2.14 % (4130)Instruction limit reached!
% 7.18/2.14 % (4130)------------------------------
% 7.18/2.14 % (4130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.14 % (4130)Termination reason: Unknown
% 7.18/2.14 % (4130)Termination phase: Saturation
% 7.18/2.14
% 7.18/2.14 % (4130)Memory used [KB]: 6140
% 7.18/2.14 % (4130)Time elapsed: 0.073 s
% 7.18/2.14 % (4130)Instructions burned: 255 (million)
% 7.18/2.14 % (4130)------------------------------
% 7.18/2.14 % (4130)------------------------------
% 7.18/2.14 % (4134)Refutation not found, incomplete strategy
% 7.18/2.14 % (4134)------------------------------
% 7.18/2.14 % (4134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.14 % (4134)Termination reason: Refutation not found, incomplete strategy
% 7.18/2.14
% 7.18/2.14
% 7.18/2.14 % (4134)Memory used [KB]: 5628
% 7.18/2.14 % (4134)Time elapsed: 0.005 s
% 7.18/2.14 % (4134)Instructions burned: 15 (million)
% 7.18/2.14 % (4134)------------------------------
% 7.18/2.14 % (4134)------------------------------
% 7.18/2.15 % (4135)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_3887 for (2991ds/187Mi)
% 7.18/2.15 % (4136)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_3887 for (2991ds/371Mi)
% 7.18/2.15 % (4136)Refutation not found, incomplete strategy
% 7.18/2.15 % (4136)------------------------------
% 7.18/2.15 % (4136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.15 % (4136)Termination reason: Refutation not found, incomplete strategy
% 7.18/2.15
% 7.18/2.15
% 7.18/2.15 % (4136)Memory used [KB]: 5500
% 7.18/2.15 % (4136)Time elapsed: 0.002 s
% 7.18/2.15 % (4136)Instructions burned: 4 (million)
% 7.18/2.15 % (4136)------------------------------
% 7.18/2.15 % (4136)------------------------------
% 7.18/2.15 % (4111)Instruction limit reached!
% 7.18/2.15 % (4111)------------------------------
% 7.18/2.15 % (4111)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.15 % (4111)Termination reason: Unknown
% 7.18/2.15 % (4111)Termination phase: Saturation
% 7.18/2.15
% 7.18/2.15 % (4111)Memory used [KB]: 7291
% 7.18/2.15 % (4111)Time elapsed: 0.294 s
% 7.18/2.15 % (4111)Instructions burned: 1022 (million)
% 7.18/2.15 % (4111)------------------------------
% 7.18/2.15 % (4111)------------------------------
% 7.18/2.16 % (4137)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_3887 for (2991ds/1827Mi)
% 7.18/2.16 % (4138)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_3887 for (2991ds/70Mi)
% 7.18/2.19 % (4138)Instruction limit reached!
% 7.18/2.19 % (4138)------------------------------
% 7.18/2.19 % (4138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.18/2.19 % (4138)Termination reason: Unknown
% 7.18/2.19 % (4138)Termination phase: Saturation
% 7.18/2.19
% 7.18/2.19 % (4138)Memory used [KB]: 1791
% 7.18/2.19 % (4138)Time elapsed: 0.022 s
% 7.18/2.19 % (4138)Instructions burned: 72 (million)
% 7.18/2.19 % (4138)------------------------------
% 7.18/2.19 % (4138)------------------------------
% 7.18/2.19 % (4139)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_3887 for (2991ds/316Mi)
% 7.65/2.20 % (4139)Refutation not found, incomplete strategy
% 7.65/2.20 % (4139)------------------------------
% 7.65/2.20 % (4139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.65/2.20 % (4139)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.20
% 7.65/2.20
% 7.65/2.20 % (4139)Memory used [KB]: 5628
% 7.65/2.20 % (4139)Time elapsed: 0.005 s
% 7.65/2.20 % (4139)Instructions burned: 15 (million)
% 7.65/2.20 % (4139)------------------------------
% 7.65/2.20 % (4139)------------------------------
% 7.65/2.20 % (4135)Instruction limit reached!
% 7.65/2.20 % (4135)------------------------------
% 7.65/2.20 % (4135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.65/2.20 % (4135)Termination reason: Unknown
% 7.65/2.20 % (4135)Termination phase: Saturation
% 7.65/2.20
% 7.65/2.20 % (4135)Memory used [KB]: 6780
% 7.65/2.20 % (4135)Time elapsed: 0.056 s
% 7.65/2.20 % (4135)Instructions burned: 188 (million)
% 7.65/2.20 % (4135)------------------------------
% 7.65/2.20 % (4135)------------------------------
% 7.65/2.21 % (4140)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_3887 for (2991ds/932Mi)
% 7.65/2.21 % (4141)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_3887 for (2991ds/4714Mi)
% 7.65/2.21 % (4141)Refutation not found, incomplete strategy
% 7.65/2.21 % (4141)------------------------------
% 7.65/2.21 % (4141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.65/2.21 % (4141)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.21
% 7.65/2.21
% 7.65/2.21 % (4141)Memory used [KB]: 5628
% 7.65/2.21 % (4141)Time elapsed: 0.005 s
% 7.65/2.21 % (4141)Instructions burned: 15 (million)
% 7.65/2.21 % (4141)------------------------------
% 7.65/2.21 % (4141)------------------------------
% 7.65/2.22 % (4142)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_3887 for (2991ds/8250Mi)
% 7.65/2.26 % (4128)Instruction limit reached!
% 7.65/2.26 % (4128)------------------------------
% 7.65/2.26 % (4128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.65/2.26 % (4128)Termination reason: Unknown
% 7.65/2.26 % (4128)Termination phase: Saturation
% 7.65/2.26
% 7.65/2.26 % (4128)Memory used [KB]: 6524
% 7.65/2.26 % (4128)Time elapsed: 0.281 s
% 7.65/2.26 % (4128)Instructions burned: 995 (million)
% 7.65/2.26 % (4128)------------------------------
% 7.65/2.26 % (4128)------------------------------
% 7.65/2.27 % (4143)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_3887 for (2990ds/770Mi)
% 7.65/2.27 % (4143)Refutation not found, incomplete strategy
% 7.65/2.27 % (4143)------------------------------
% 7.65/2.27 % (4143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.65/2.27 % (4143)Termination reason: Refutation not found, incomplete strategy
% 7.65/2.27
% 7.65/2.27
% 7.65/2.27 % (4143)Memory used [KB]: 5500
% 7.65/2.27 % (4143)Time elapsed: 0.002 s
% 7.65/2.27 % (4143)Instructions burned: 4 (million)
% 7.65/2.27 % (4143)------------------------------
% 7.65/2.27 % (4143)------------------------------
% 7.65/2.28 % (4132)Instruction limit reached!
% 7.65/2.28 % (4132)------------------------------
% 7.65/2.28 % (4132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.65/2.28 % (4132)Termination reason: Unknown
% 7.65/2.28 % (4132)Termination phase: Saturation
% 7.65/2.28
% 7.65/2.28 % (4132)Memory used [KB]: 13560
% 7.65/2.28 % (4132)Time elapsed: 0.201 s
% 7.65/2.28 % (4132)Instructions burned: 669 (million)
% 7.65/2.28 % (4132)------------------------------
% 7.65/2.28 % (4132)------------------------------
% 7.65/2.28 % (4144)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_3887 for (2990ds/794Mi)
% 7.65/2.29 % (4145)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_3887 for (2990ds/464Mi)
% 8.25/2.34 % (4117)Instruction limit reached!
% 8.25/2.34 % (4117)------------------------------
% 8.25/2.34 % (4117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.25/2.34 % (4117)Termination reason: Unknown
% 8.25/2.34 % (4117)Termination phase: Saturation
% 8.25/2.34
% 8.25/2.34 % (4117)Memory used [KB]: 9083
% 8.25/2.34 % (4117)Time elapsed: 0.445 s
% 8.25/2.34 % (4117)Instructions burned: 1539 (million)
% 8.25/2.34 % (4117)------------------------------
% 8.25/2.34 % (4117)------------------------------
% 8.25/2.35 % (4146)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_3887 for (2989ds/1376Mi)
% 8.40/2.43 % (4145)Instruction limit reached!
% 8.40/2.43 % (4145)------------------------------
% 8.40/2.43 % (4145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.40/2.43 % (4145)Termination reason: Unknown
% 8.40/2.43 % (4145)Termination phase: Saturation
% 8.40/2.43
% 8.40/2.43 % (4145)Memory used [KB]: 6396
% 8.40/2.43 % (4145)Time elapsed: 0.137 s
% 8.40/2.43 % (4145)Instructions burned: 466 (million)
% 8.40/2.43 % (4145)------------------------------
% 8.40/2.43 % (4145)------------------------------
% 8.40/2.44 % (4147)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_3887 for (2989ds/906Mi)
% 8.40/2.49 % (4140)Instruction limit reached!
% 8.40/2.49 % (4140)------------------------------
% 8.40/2.49 % (4140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.40/2.49 % (4140)Termination reason: Unknown
% 8.40/2.49 % (4140)Termination phase: Saturation
% 8.40/2.49
% 8.40/2.49 % (4140)Memory used [KB]: 8059
% 8.40/2.49 % (4140)Time elapsed: 0.280 s
% 8.40/2.49 % (4140)Instructions burned: 935 (million)
% 8.40/2.49 % (4140)------------------------------
% 8.40/2.49 % (4140)------------------------------
% 8.93/2.50 % (4148)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_3887 for (2988ds/434Mi)
% 8.93/2.50 % (4148)Refutation not found, incomplete strategy
% 8.93/2.50 % (4148)------------------------------
% 8.93/2.50 % (4148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.93/2.50 % (4148)Termination reason: Refutation not found, incomplete strategy
% 8.93/2.50
% 8.93/2.50
% 8.93/2.50 % (4148)Memory used [KB]: 5500
% 8.93/2.50 % (4148)Time elapsed: 0.002 s
% 8.93/2.50 % (4148)Instructions burned: 3 (million)
% 8.93/2.50 % (4148)------------------------------
% 8.93/2.50 % (4148)------------------------------
% 8.93/2.51 % (4149)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_3887 for (2988ds/865Mi)
% 8.93/2.51 % (4149)Refutation not found, incomplete strategy
% 8.93/2.51 % (4149)------------------------------
% 8.93/2.51 % (4149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.93/2.51 % (4149)Termination reason: Refutation not found, incomplete strategy
% 8.93/2.51
% 8.93/2.51
% 8.93/2.51 % (4149)Memory used [KB]: 5500
% 8.93/2.51 % (4149)Time elapsed: 0.003 s
% 8.93/2.51 % (4149)Instructions burned: 8 (million)
% 8.93/2.51 % (4149)------------------------------
% 8.93/2.51 % (4149)------------------------------
% 8.93/2.51 % (4144)Instruction limit reached!
% 8.93/2.51 % (4144)------------------------------
% 8.93/2.51 % (4144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.93/2.51 % (4144)Termination reason: Unknown
% 8.93/2.51 % (4144)Termination phase: Saturation
% 8.93/2.51
% 8.93/2.51 % (4144)Memory used [KB]: 3198
% 8.93/2.51 % (4144)Time elapsed: 0.231 s
% 8.93/2.51 % (4144)Instructions burned: 796 (million)
% 8.93/2.51 % (4144)------------------------------
% 8.93/2.51 % (4144)------------------------------
% 8.93/2.52 % (4150)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_3887 for (2988ds/593Mi)
% 8.93/2.52 % (4151)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_3887 for (2988ds/443Mi)
% 8.93/2.53 % (4151)Refutation not found, incomplete strategy
% 8.93/2.53 % (4151)------------------------------
% 8.93/2.53 % (4151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.93/2.53 % (4151)Termination reason: Refutation not found, incomplete strategy
% 8.93/2.53
% 8.93/2.53
% 8.93/2.53 % (4151)Memory used [KB]: 5500
% 8.93/2.53 % (4151)Time elapsed: 0.002 s
% 8.93/2.53 % (4151)Instructions burned: 4 (million)
% 8.93/2.53 % (4151)------------------------------
% 8.93/2.53 % (4151)------------------------------
% 8.93/2.53 % (4152)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_3887 for (2988ds/594Mi)
% 8.93/2.54 % (4152)Refutation not found, incomplete strategy
% 8.93/2.54 % (4152)------------------------------
% 8.93/2.54 % (4152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.93/2.54 % (4152)Termination reason: Refutation not found, incomplete strategy
% 8.93/2.54
% 8.93/2.54
% 8.93/2.54 % (4152)Memory used [KB]: 5500
% 8.93/2.54 % (4152)Time elapsed: 0.002 s
% 8.93/2.54 % (4152)Instructions burned: 4 (million)
% 8.93/2.54 % (4152)------------------------------
% 8.93/2.54 % (4152)------------------------------
% 8.93/2.55 % (4153)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_3887 for (2987ds/327Mi)
% 9.32/2.64 % (4153)Instruction limit reached!
% 9.32/2.64 % (4153)------------------------------
% 9.32/2.64 % (4153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.64 % (4153)Termination reason: Unknown
% 9.32/2.64 % (4153)Termination phase: Saturation
% 9.32/2.64
% 9.32/2.64 % (4153)Memory used [KB]: 7164
% 9.32/2.64 % (4153)Time elapsed: 0.097 s
% 9.32/2.64 % (4153)Instructions burned: 328 (million)
% 9.32/2.64 % (4153)------------------------------
% 9.32/2.64 % (4153)------------------------------
% 9.32/2.65 % (4154)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_3887 for (2986ds/5411Mi)
% 9.32/2.65 % (4154)Refutation not found, incomplete strategy
% 9.32/2.65 % (4154)------------------------------
% 9.32/2.65 % (4154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.65 % (4154)Termination reason: Refutation not found, incomplete strategy
% 9.32/2.65
% 9.32/2.65
% 9.32/2.65 % (4154)Memory used [KB]: 5500
% 9.32/2.65 % (4154)Time elapsed: 0.002 s
% 9.32/2.65 % (4154)Instructions burned: 3 (million)
% 9.32/2.65 % (4154)------------------------------
% 9.32/2.65 % (4154)------------------------------
% 9.32/2.66 % (4155)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_3887 for (2986ds/1762Mi)
% 9.32/2.67 % (4150)Instruction limit reached!
% 9.32/2.67 % (4150)------------------------------
% 9.32/2.67 % (4150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.67 % (4150)Termination reason: Unknown
% 9.32/2.67 % (4150)Termination phase: Saturation
% 9.32/2.67
% 9.32/2.67 % (4150)Memory used [KB]: 6012
% 9.32/2.67 % (4150)Time elapsed: 0.147 s
% 9.32/2.67 % (4150)Instructions burned: 596 (million)
% 9.32/2.67 % (4150)------------------------------
% 9.32/2.67 % (4150)------------------------------
% 9.32/2.68 % (4156)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_3887 for (2986ds/96Mi)
% 9.32/2.69 % (4147)Instruction limit reached!
% 9.32/2.69 % (4147)------------------------------
% 9.32/2.69 % (4147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.69 % (4147)Termination reason: Unknown
% 9.32/2.69 % (4147)Termination phase: Saturation
% 9.32/2.69
% 9.32/2.69 % (4147)Memory used [KB]: 9083
% 9.32/2.69 % (4147)Time elapsed: 0.256 s
% 9.32/2.69 % (4147)Instructions burned: 908 (million)
% 9.32/2.69 % (4147)------------------------------
% 9.32/2.69 % (4147)------------------------------
% 9.32/2.69 % (4137)Instruction limit reached!
% 9.32/2.69 % (4137)------------------------------
% 9.32/2.69 % (4137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.69 % (4137)Termination reason: Unknown
% 9.32/2.69 % (4137)Termination phase: Saturation
% 9.32/2.69
% 9.32/2.69 % (4137)Memory used [KB]: 7547
% 9.32/2.69 % (4137)Time elapsed: 0.535 s
% 9.32/2.69 % (4137)Instructions burned: 1828 (million)
% 9.32/2.69 % (4137)------------------------------
% 9.32/2.69 % (4137)------------------------------
% 10.48/2.70 % (4157)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_3887 for (2986ds/503Mi)
% 10.48/2.70 % (4157)Refutation not found, incomplete strategy
% 10.48/2.70 % (4157)------------------------------
% 10.48/2.70 % (4157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.48/2.70 % (4157)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.70
% 10.48/2.70
% 10.48/2.70 % (4157)Memory used [KB]: 5500
% 10.48/2.70 % (4157)Time elapsed: 0.002 s
% 10.48/2.70 % (4157)Instructions burned: 4 (million)
% 10.48/2.70 % (4157)------------------------------
% 10.48/2.70 % (4157)------------------------------
% 10.48/2.70 % (4158)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_3887 for (2986ds/90Mi)
% 10.48/2.70 % (4156)Instruction limit reached!
% 10.48/2.70 % (4156)------------------------------
% 10.48/2.70 % (4156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.48/2.70 % (4156)Termination reason: Unknown
% 10.48/2.70 % (4156)Termination phase: Saturation
% 10.48/2.70
% 10.48/2.70 % (4156)Memory used [KB]: 6012
% 10.48/2.70 % (4156)Time elapsed: 0.030 s
% 10.48/2.70 % (4156)Instructions burned: 96 (million)
% 10.48/2.70 % (4156)------------------------------
% 10.48/2.70 % (4156)------------------------------
% 10.48/2.71 % (4159)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_3887 for (2986ds/593Mi)
% 10.48/2.71 % (4160)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_3887 for (2986ds/1512Mi)
% 10.48/2.72 % (4160)Refutation not found, incomplete strategy
% 10.48/2.72 % (4160)------------------------------
% 10.48/2.72 % (4160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.48/2.72 % (4160)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.72
% 10.48/2.72
% 10.48/2.72 % (4160)Memory used [KB]: 5628
% 10.48/2.72 % (4160)Time elapsed: 0.005 s
% 10.48/2.72 % (4160)Instructions burned: 13 (million)
% 10.48/2.72 % (4160)------------------------------
% 10.48/2.72 % (4160)------------------------------
% 10.48/2.73 % (4161)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_3887 for (2986ds/569Mi)
% 10.48/2.73 % (4158)Instruction limit reached!
% 10.48/2.73 % (4158)------------------------------
% 10.48/2.73 % (4158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.48/2.73 % (4158)Termination reason: Unknown
% 10.48/2.73 % (4158)Termination phase: Saturation
% 10.48/2.73
% 10.48/2.73 % (4158)Memory used [KB]: 6140
% 10.48/2.73 % (4158)Time elapsed: 0.029 s
% 10.48/2.73 % (4158)Instructions burned: 92 (million)
% 10.48/2.73 % (4158)------------------------------
% 10.48/2.73 % (4158)------------------------------
% 10.48/2.74 % (4162)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_3887 for (2986ds/501Mi)
% 10.48/2.74 % (4162)Refutation not found, incomplete strategy
% 10.48/2.74 % (4162)------------------------------
% 10.48/2.74 % (4162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.48/2.74 % (4162)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.74
% 10.48/2.74
% 10.48/2.74 % (4162)Memory used [KB]: 5628
% 10.48/2.74 % (4162)Time elapsed: 0.004 s
% 10.48/2.74 % (4162)Instructions burned: 11 (million)
% 10.48/2.74 % (4162)------------------------------
% 10.48/2.74 % (4162)------------------------------
% 10.48/2.75 % (4163)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_3887 for (2985ds/562Mi)
% 10.48/2.76 % (4163)Refutation not found, incomplete strategy
% 10.48/2.76 % (4163)------------------------------
% 10.48/2.76 % (4163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.48/2.76 % (4163)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.76
% 10.48/2.76
% 10.48/2.76 % (4163)Memory used [KB]: 5500
% 10.48/2.76 % (4163)Time elapsed: 0.003 s
% 10.48/2.76 % (4163)Instructions burned: 4 (million)
% 10.48/2.76 % (4163)------------------------------
% 10.48/2.76 % (4163)------------------------------
% 10.48/2.76 % (4146)Instruction limit reached!
% 10.48/2.76 % (4146)------------------------------
% 10.48/2.76 % (4146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.48/2.76 % (4146)Termination reason: Unknown
% 10.48/2.76 % (4146)Termination phase: Saturation
% 10.48/2.76
% 10.48/2.76 % (4146)Memory used [KB]: 11001
% 10.48/2.76 % (4146)Time elapsed: 0.409 s
% 10.48/2.76 % (4146)Instructions burned: 1377 (million)
% 10.48/2.76 % (4146)------------------------------
% 10.48/2.76 % (4146)------------------------------
% 10.48/2.77 % (4167)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_3887 for (2985ds/406Mi)
% 10.48/2.78 % (4168)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_3887 for (2985ds/582Mi)
% 11.13/2.89 % (4167)Instruction limit reached!
% 11.13/2.89 % (4167)------------------------------
% 11.13/2.89 % (4167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.13/2.89 % (4167)Termination reason: Unknown
% 11.13/2.89 % (4167)Termination phase: Saturation
% 11.13/2.89
% 11.13/2.89 % (4167)Memory used [KB]: 6780
% 11.13/2.89 % (4167)Time elapsed: 0.145 s
% 11.13/2.89 % (4167)Instructions burned: 406 (million)
% 11.13/2.89 % (4167)------------------------------
% 11.13/2.89 % (4167)------------------------------
% 11.13/2.89 % (4159)Instruction limit reached!
% 11.13/2.89 % (4159)------------------------------
% 11.13/2.89 % (4159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.13/2.89 % (4159)Termination reason: Unknown
% 11.13/2.89 % (4159)Termination phase: Saturation
% 11.13/2.89
% 11.13/2.89 % (4159)Memory used [KB]: 7547
% 11.13/2.89 % (4159)Time elapsed: 0.181 s
% 11.13/2.89 % (4159)Instructions burned: 595 (million)
% 11.13/2.89 % (4159)------------------------------
% 11.13/2.89 % (4159)------------------------------
% 11.55/2.90 % (4161)Instruction limit reached!
% 11.55/2.90 % (4161)------------------------------
% 11.55/2.90 % (4161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.55/2.90 % (4161)Termination reason: Unknown
% 11.55/2.90 % (4161)Termination phase: Saturation
% 11.55/2.90
% 11.55/2.90 % (4161)Memory used [KB]: 7164
% 11.55/2.90 % (4161)Time elapsed: 0.170 s
% 11.55/2.90 % (4161)Instructions burned: 571 (million)
% 11.55/2.90 % (4161)------------------------------
% 11.55/2.90 % (4161)------------------------------
% 11.55/2.90 % (4183)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_3887 for (2984ds/456Mi)
% 11.55/2.90 % (4183)Refutation not found, incomplete strategy
% 11.55/2.90 % (4183)------------------------------
% 11.55/2.90 % (4183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.55/2.90 % (4183)Termination reason: Refutation not found, incomplete strategy
% 11.55/2.90
% 11.55/2.90
% 11.55/2.90 % (4183)Memory used [KB]: 5500
% 11.55/2.90 % (4183)Time elapsed: 0.002 s
% 11.55/2.90 % (4183)Instructions burned: 3 (million)
% 11.55/2.90 % (4183)------------------------------
% 11.55/2.90 % (4183)------------------------------
% 11.55/2.90 % (4184)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_3887 for (2984ds/393Mi)
% 11.55/2.91 % (4185)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_3887 for (2984ds/1335Mi)
% 11.55/2.91 % (4185)Refutation not found, incomplete strategy
% 11.55/2.91 % (4185)------------------------------
% 11.55/2.91 % (4185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.55/2.91 % (4185)Termination reason: Refutation not found, incomplete strategy
% 11.55/2.91
% 11.55/2.91
% 11.55/2.91 % (4185)Memory used [KB]: 5500
% 11.55/2.91 % (4185)Time elapsed: 0.003 s
% 11.55/2.91 % (4185)Instructions burned: 8 (million)
% 11.55/2.91 % (4185)------------------------------
% 11.55/2.91 % (4185)------------------------------
% 11.55/2.91 % (4186)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_3887 for (2984ds/3373Mi)
% 11.55/2.92 % (4187)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_3887 for (2984ds/474Mi)
% 11.55/2.95 % (4168)Instruction limit reached!
% 11.55/2.95 % (4168)------------------------------
% 11.55/2.95 % (4168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.55/2.95 % (4168)Termination reason: Unknown
% 11.55/2.95 % (4168)Termination phase: Saturation
% 11.55/2.95
% 11.55/2.95 % (4168)Memory used [KB]: 6268
% 11.55/2.95 % (4168)Time elapsed: 0.196 s
% 11.55/2.95 % (4168)Instructions burned: 582 (million)
% 11.55/2.95 % (4168)------------------------------
% 11.55/2.95 % (4168)------------------------------
% 11.55/2.96 % (4188)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_3887 for (2983ds/157Mi)
% 11.55/3.01 % (4188)Instruction limit reached!
% 11.55/3.01 % (4188)------------------------------
% 11.55/3.01 % (4188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.55/3.01 % (4188)Termination reason: Unknown
% 11.55/3.01 % (4188)Termination phase: Saturation
% 11.55/3.01
% 11.55/3.01 % (4188)Memory used [KB]: 6012
% 11.55/3.01 % (4188)Time elapsed: 0.070 s
% 11.55/3.01 % (4188)Instructions burned: 159 (million)
% 11.55/3.01 % (4188)------------------------------
% 11.55/3.01 % (4188)------------------------------
% 13.53/3.01 % (4184)Instruction limit reached!
% 13.53/3.01 % (4184)------------------------------
% 13.53/3.01 % (4184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.53/3.01 % (4184)Termination reason: Unknown
% 13.53/3.01 % (4184)Termination phase: Saturation
% 13.53/3.01
% 13.53/3.01 % (4184)Memory used [KB]: 6268
% 13.53/3.01 % (4184)Time elapsed: 0.136 s
% 13.53/3.01 % (4184)Instructions burned: 396 (million)
% 13.53/3.01 % (4184)------------------------------
% 13.53/3.01 % (4184)------------------------------
% 13.53/3.02 % (4190)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_3887 for (2983ds/104Mi)
% 13.53/3.02 % (4189)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_3887 for (2983ds/590Mi)
% 13.53/3.03 % (4189)Refutation not found, incomplete strategy
% 13.53/3.03 % (4189)------------------------------
% 13.53/3.03 % (4189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.53/3.03 % (4189)Termination reason: Refutation not found, incomplete strategy
% 13.53/3.03
% 13.53/3.03
% 13.53/3.03 % (4189)Memory used [KB]: 5500
% 13.53/3.03 % (4189)Time elapsed: 0.004 s
% 13.53/3.03 % (4189)Instructions burned: 5 (million)
% 13.53/3.03 % (4189)------------------------------
% 13.53/3.03 % (4189)------------------------------
% 13.53/3.03 % (4190)Refutation not found, incomplete strategy
% 13.53/3.03 % (4190)------------------------------
% 13.53/3.03 % (4190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.53/3.03 % (4190)Termination reason: Refutation not found, incomplete strategy
% 13.53/3.03
% 13.53/3.03
% 13.53/3.03 % (4190)Memory used [KB]: 5628
% 13.53/3.03 % (4190)Time elapsed: 0.005 s
% 13.53/3.03 % (4190)Instructions burned: 14 (million)
% 13.53/3.03 % (4190)------------------------------
% 13.53/3.03 % (4190)------------------------------
% 13.53/3.04 % (4191)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_3887 for (2982ds/414Mi)
% 13.53/3.04 % (4192)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_3887 for (2982ds/715Mi)
% 13.53/3.06 % (4187)Instruction limit reached!
% 13.53/3.06 % (4187)------------------------------
% 13.53/3.06 % (4187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.53/3.06 % (4187)Termination reason: Unknown
% 13.53/3.06 % (4187)Termination phase: Saturation
% 13.53/3.06
% 13.53/3.06 % (4187)Memory used [KB]: 6652
% 13.53/3.06 % (4187)Time elapsed: 0.167 s
% 13.53/3.06 % (4187)Instructions burned: 475 (million)
% 13.53/3.06 % (4187)------------------------------
% 13.53/3.06 % (4187)------------------------------
% 13.53/3.07 % (4193)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_3887 for (2982ds/961Mi)
% 13.53/3.07 % (4193)Refutation not found, incomplete strategy
% 13.53/3.07 % (4193)------------------------------
% 13.53/3.07 % (4193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.53/3.07 % (4193)Termination reason: Refutation not found, incomplete strategy
% 13.53/3.07
% 13.53/3.07
% 13.53/3.07 % (4193)Memory used [KB]: 5500
% 13.53/3.07 % (4193)Time elapsed: 0.002 s
% 13.53/3.07 % (4193)Instructions burned: 4 (million)
% 13.53/3.07 % (4193)------------------------------
% 13.53/3.07 % (4193)------------------------------
% 13.53/3.08 % (4194)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_3887 for (2982ds/1213Mi)
% 14.06/3.15 % (4191)Instruction limit reached!
% 14.06/3.15 % (4191)------------------------------
% 14.06/3.15 % (4191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.06/3.15 % (4191)Termination reason: Unknown
% 14.06/3.15 % (4191)Termination phase: Saturation
% 14.06/3.15
% 14.06/3.15 % (4191)Memory used [KB]: 6012
% 14.06/3.15 % (4191)Time elapsed: 0.111 s
% 14.06/3.15 % (4191)Instructions burned: 417 (million)
% 14.06/3.15 % (4191)------------------------------
% 14.06/3.15 % (4191)------------------------------
% 14.06/3.15 % (4195)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_3887 for (2981ds/1979Mi)
% 14.06/3.17 % (4155)Instruction limit reached!
% 14.06/3.17 % (4155)------------------------------
% 14.06/3.17 % (4155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.06/3.17 % (4155)Termination reason: Unknown
% 14.06/3.17 % (4155)Termination phase: Saturation
% 14.06/3.17
% 14.06/3.17 % (4155)Memory used [KB]: 6908
% 14.06/3.17 % (4155)Time elapsed: 0.502 s
% 14.06/3.17 % (4155)Instructions burned: 1764 (million)
% 14.06/3.17 % (4155)------------------------------
% 14.06/3.17 % (4155)------------------------------
% 14.06/3.18 % (4196)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_3887 for (2981ds/481Mi)
% 14.50/3.24 % (4192)Instruction limit reached!
% 14.50/3.24 % (4192)------------------------------
% 14.50/3.24 % (4192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.50/3.24 % (4192)Termination reason: Unknown
% 14.50/3.24 % (4192)Termination phase: Saturation
% 14.50/3.24
% 14.50/3.24 % (4192)Memory used [KB]: 5628
% 14.50/3.24 % (4192)Time elapsed: 0.202 s
% 14.50/3.24 % (4192)Instructions burned: 715 (million)
% 14.50/3.24 % (4192)------------------------------
% 14.50/3.24 % (4192)------------------------------
% 14.50/3.25 % (4197)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_3887 for (2980ds/783Mi)
% 14.50/3.25 % (4197)Refutation not found, incomplete strategy
% 14.50/3.25 % (4197)------------------------------
% 14.50/3.25 % (4197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.50/3.25 % (4197)Termination reason: Refutation not found, incomplete strategy
% 14.50/3.25
% 14.50/3.25
% 14.50/3.25 % (4197)Memory used [KB]: 5500
% 14.50/3.25 % (4197)Time elapsed: 0.003 s
% 14.50/3.25 % (4197)Instructions burned: 3 (million)
% 14.50/3.25 % (4197)------------------------------
% 14.50/3.25 % (4197)------------------------------
% 14.50/3.26 % (4198)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_3887 for (2980ds/432Mi)
% 14.50/3.26 % (4198)Refutation not found, incomplete strategy
% 14.50/3.26 % (4198)------------------------------
% 14.50/3.26 % (4198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.50/3.26 % (4198)Termination reason: Refutation not found, incomplete strategy
% 14.50/3.26
% 14.50/3.26
% 14.50/3.26 % (4198)Memory used [KB]: 5500
% 14.50/3.26 % (4198)Time elapsed: 0.002 s
% 14.50/3.26 % (4198)Instructions burned: 4 (million)
% 14.50/3.26 % (4198)------------------------------
% 14.50/3.26 % (4198)------------------------------
% 14.50/3.27 % (4199)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_3887 for (2980ds/1670Mi)
% 15.03/3.32 % (4196)Instruction limit reached!
% 15.03/3.32 % (4196)------------------------------
% 15.03/3.32 % (4196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.03/3.32 % (4196)Termination reason: Unknown
% 15.03/3.32 % (4196)Termination phase: Saturation
% 15.03/3.32
% 15.03/3.32 % (4196)Memory used [KB]: 6652
% 15.03/3.32 % (4196)Time elapsed: 0.147 s
% 15.03/3.32 % (4196)Instructions burned: 482 (million)
% 15.03/3.32 % (4196)------------------------------
% 15.03/3.32 % (4196)------------------------------
% 15.03/3.33 % (4200)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_3887 for (2979ds/90Mi)
% 15.03/3.33 % (4195)First to succeed.
% 15.03/3.34 % (4195)Refutation found. Thanks to Tanya!
% 15.03/3.34 % SZS status Theorem for DTF2THF_3887
% 15.03/3.34 % SZS output start Proof for DTF2THF_3887
% 15.03/3.34 thf(type_def_5, type, nat: $tType).
% 15.03/3.34 thf(type_def_7, type, set_nat: $tType).
% 15.03/3.34 thf(type_def_8, type, qML_mu: $tType).
% 15.03/3.34 thf(type_def_9, type, qML_i: $tType).
% 15.03/3.34 thf(type_def_10, type, set_set_nat: $tType).
% 15.03/3.34 thf(type_def_11, type, set_set_set_nat: $tType).
% 15.03/3.34 thf(func_def_0, type, set_set_set_nat: $tType).
% 15.03/3.34 thf(func_def_1, type, set_set_nat: $tType).
% 15.03/3.34 thf(func_def_2, type, qML_mu: $tType).
% 15.03/3.34 thf(func_def_3, type, set_nat: $tType).
% 15.03/3.34 thf(func_def_4, type, qML_i: $tType).
% 15.03/3.34 thf(func_def_5, type, nat: $tType).
% 15.03/3.34 thf(func_def_6, type, equiv_2129914667vp_nat: (nat > nat > $o) > $o).
% 15.03/3.34 thf(func_def_7, type, equiv_235907809et_nat: (set_nat > set_nat > $o) > $o).
% 15.03/3.34 thf(func_def_8, type, inconsistency_G: qML_mu > qML_i > $o).
% 15.03/3.34 thf(func_def_9, type, incons1905966852QML_mu: qML_mu > qML_i > $o).
% 15.03/3.34 thf(func_def_10, type, inconsistency_P: (qML_mu > qML_i > $o) > qML_i > $o).
% 15.03/3.34 thf(func_def_11, type, incons1389517216QML_mu: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.03/3.34 thf(func_def_12, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
% 15.03/3.34 thf(func_def_13, type, ord_le1613022364et_nat: set_set_nat > set_set_nat > $o).
% 15.03/3.34 thf(func_def_14, type, qML_r: qML_i > qML_i > $o).
% 15.03/3.34 thf(func_def_15, type, dvd_dvd_nat: nat > nat > $o).
% 15.03/3.34 thf(func_def_16, type, ball_nat: set_nat > (nat > $o) > $o).
% 15.03/3.34 thf(func_def_17, type, ball_set_nat: set_set_nat > (set_nat > $o) > $o).
% 15.03/3.34 thf(func_def_18, type, collect_nat: (nat > $o) > set_nat).
% 15.03/3.34 thf(func_def_19, type, collect_set_nat: (set_nat > $o) > set_set_nat).
% 15.03/3.34 thf(func_def_20, type, collect_set_set_nat: (set_set_nat > $o) > set_set_set_nat).
% 15.03/3.34 thf(func_def_21, type, set_greaterThan_nat: (nat > nat > $o) > nat > set_nat).
% 15.03/3.34 thf(func_def_22, type, member_nat: nat > set_nat > $o).
% 15.03/3.34 thf(func_def_23, type, member_set_nat: set_nat > set_set_nat > $o).
% 15.03/3.34 thf(func_def_24, type, member_set_set_nat: set_set_nat > set_set_set_nat > $o).
% 15.03/3.34 thf(func_def_39, type, sK0: set_nat > set_nat > nat).
% 15.03/3.34 thf(func_def_40, type, sK1: set_set_nat > set_set_nat > set_nat).
% 15.03/3.34 thf(func_def_41, type, sK2: (set_nat > set_nat > $o) > set_set_nat).
% 15.03/3.34 thf(func_def_42, type, sK3: (qML_mu > qML_i > $o) > qML_i > (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_43, type, sK4: (qML_mu > qML_i > $o) > qML_i > (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_44, type, sK5: (nat > nat > $o) > set_nat).
% 15.03/3.34 thf(func_def_46, type, sK7: (nat > nat > $o) > nat).
% 15.03/3.34 thf(func_def_47, type, sK8: (nat > nat > $o) > nat).
% 15.03/3.34 thf(func_def_50, type, sK9: (nat > nat > $o) > nat).
% 15.03/3.34 thf(func_def_51, type, sK10: (nat > nat > $o) > nat).
% 15.03/3.34 thf(func_def_52, type, sK11: (nat > nat > $o) > nat).
% 15.03/3.34 thf(func_def_53, type, sK12: (nat > nat > $o) > nat).
% 15.03/3.34 thf(func_def_54, type, ph13: !>[X0: $tType]:(X0)).
% 15.03/3.34 thf(func_def_55, type, sK14: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_56, type, sK15: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_57, type, sK16: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_58, type, sK17: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_59, type, sK18: qML_mu).
% 15.03/3.34 thf(func_def_60, type, sK19: qML_i).
% 15.03/3.34 thf(func_def_61, type, sK20: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_62, type, sK21: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_63, type, sK22: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_64, type, sK23: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_65, type, sK24: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_66, type, sK25: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_67, type, sK26: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_68, type, sK27: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_69, type, sK28: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_70, type, sK29: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_71, type, sK30: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_72, type, sK31: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_73, type, sK32: qML_mu).
% 15.03/3.34 thf(func_def_74, type, sK33: qML_i).
% 15.03/3.34 thf(func_def_75, type, sK34: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.03/3.34 thf(func_def_76, type, sK35: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_77, type, sK36: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_78, type, sK37: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_79, type, sK38: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_80, type, sK39: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_81, type, sK40: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_82, type, sK41: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.03/3.34 thf(func_def_83, type, sK42: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_84, type, sK43: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_85, type, sK44: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_86, type, sK45: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.03/3.34 thf(func_def_87, type, sK46: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_88, type, sK47: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_89, type, sK48: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_90, type, sK49: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_91, type, sK50: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_92, type, sK51: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_93, type, sK52: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(func_def_94, type, sK53: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
% 15.03/3.34 thf(func_def_95, type, sK54: (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 15.03/3.34 thf(func_def_96, type, sK55: (qML_mu > qML_i > $o) > qML_i).
% 15.03/3.34 thf(func_def_97, type, sK56: (qML_mu > qML_i > $o) > qML_mu).
% 15.03/3.34 thf(f1819,plain,(
% 15.03/3.34 $false),
% 15.03/3.34 inference(avatar_sat_refutation,[status(thm)],[f1497,f1510,f1518,f1748,f1817])).
% 15.03/3.34 thf(f1817,plain,(
% 15.03/3.34 spl6_19 | ~spl6_15),
% 15.03/3.34 inference(avatar_split_clause,[status(thm)],[f1786,f1495,f1616])).
% 15.03/3.34 thf(f1616,definition,(
% 15.03/3.34 spl6_19 <=> ! [X0 : qML_i] : (($false = (qML_r @ sK33 @ X0)) | ($true != (qML_r @ sK33 @ X0)))),
% 15.03/3.34 introduced(definition,[new_symbols(naming,[spl6_19])],[avatar_definition])).
% 15.03/3.34 thf(f1495,definition,(
% 15.03/3.34 spl6_15 <=> ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (qML_r @ sK33 @ X2)) | ($true = (X1 @ (sK56 @ X1) @ (sK55 @ X1))) | ((X1 @ (sK54 @ X1 @ X2) @ X2) = $true))),
% 15.03/3.34 introduced(definition,[new_symbols(naming,[spl6_15])],[avatar_definition])).
% 15.03/3.34 thf(f1786,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (($true != (qML_r @ sK33 @ X0)) | ($false = (qML_r @ sK33 @ X0))) ) | ~spl6_15),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f1785])).
% 15.03/3.34 thf(f1785,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (($false = (qML_r @ sK33 @ X0)) | ($true != (qML_r @ sK33 @ X0)) | ($true = $false)) ) | ~spl6_15),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1769])).
% 15.03/3.34 thf(f1769,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (($true != (qML_r @ sK33 @ X0)) | (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK54 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X0) @ X0) = $true) | ($false = (qML_r @ sK33 @ X0))) ) | ~spl6_15),
% 15.03/3.34 inference(equality_factoring,[status(thm)],[f1496])).
% 15.03/3.34 thf(f1496,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X1 : qML_mu > qML_i > $o] : (($true = (X1 @ (sK56 @ X1) @ (sK55 @ X1))) | ((X1 @ (sK54 @ X1 @ X2) @ X2) = $true) | ($false = (qML_r @ sK33 @ X2))) ) | ~spl6_15),
% 15.03/3.34 inference(avatar_component_clause,[status(thm)],[f1495])).
% 15.03/3.34 thf(f1748,plain,(
% 15.03/3.34 ~spl6_19),
% 15.03/3.34 inference(avatar_contradiction_clause,[status(thm)],[f1747])).
% 15.03/3.34 thf(f1747,plain,(
% 15.03/3.34 $false | ~spl6_19),
% 15.03/3.34 inference(subsumption_resolution,[status(thm)],[f1740,f136])).
% 15.03/3.34 thf(f136,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (((qML_r @ X0 @ X0) = $true)) )),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f37])).
% 15.03/3.34 thf(f37,plain,(
% 15.03/3.34 ! [X0 : qML_i] : ((qML_r @ X0 @ X0) = $true)),
% 15.03/3.34 inference(fool_elimination,[status(thm)],[f36])).
% 15.03/3.34 thf(f36,plain,(
% 15.03/3.34 ! [X0 : qML_i] : (qML_r @ X0 @ X0)),
% 15.03/3.34 inference(rectify,[status(thm)],[f10])).
% 15.03/3.34 thf(f10,axiom,(
% 15.03/3.34 ! [X11 : qML_i] : (qML_r @ X11 @ X11)),
% 15.03/3.34 file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_9_ref)).
% 15.03/3.34 thf(f1740,plain,(
% 15.03/3.34 ($true != (qML_r @ sK33 @ sK33)) | ~spl6_19),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f1729])).
% 15.03/3.34 thf(f1729,plain,(
% 15.03/3.34 ($true = $false) | ($true != (qML_r @ sK33 @ sK33)) | ~spl6_19),
% 15.03/3.34 inference(superposition,[status(thm)],[f136,f1617])).
% 15.03/3.34 thf(f1617,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (($false = (qML_r @ sK33 @ X0)) | ($true != (qML_r @ sK33 @ X0))) ) | ~spl6_19),
% 15.03/3.34 inference(avatar_component_clause,[status(thm)],[f1616])).
% 15.03/3.34 thf(f1518,plain,(
% 15.03/3.34 ~spl6_13),
% 15.03/3.34 inference(avatar_contradiction_clause,[status(thm)],[f1517])).
% 15.03/3.34 thf(f1517,plain,(
% 15.03/3.34 $false | ~spl6_13),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f1512])).
% 15.03/3.34 thf(f1512,plain,(
% 15.03/3.34 ($true != $true) | ~spl6_13),
% 15.03/3.34 inference(superposition,[status(thm)],[f1489,f136])).
% 15.03/3.34 thf(f1489,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (((qML_r @ X0 @ sK33) != $true)) ) | ~spl6_13),
% 15.03/3.34 inference(avatar_component_clause,[status(thm)],[f1488])).
% 15.03/3.34 thf(f1488,definition,(
% 15.03/3.34 spl6_13 <=> ! [X0 : qML_i] : ((qML_r @ X0 @ sK33) != $true)),
% 15.03/3.34 introduced(definition,[new_symbols(naming,[spl6_13])],[avatar_definition])).
% 15.03/3.34 thf(f1510,plain,(
% 15.03/3.34 ~spl6_8),
% 15.03/3.34 inference(avatar_split_clause,[status(thm)],[f721,f653])).
% 15.03/3.34 thf(f653,definition,(
% 15.03/3.34 spl6_8 <=> ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))),
% 15.03/3.34 introduced(definition,[new_symbols(naming,[spl6_8])],[avatar_definition])).
% 15.03/3.34 thf(f721,plain,(
% 15.03/3.34 ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f719])).
% 15.03/3.34 thf(f719,plain,(
% 15.03/3.34 ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) | ($true != $true)),
% 15.03/3.34 inference(constrained_superposition,[status(thm)],[f716,f147])).
% 15.03/3.34 thf(f147,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ X0))) )),
% 15.03/3.34 inference(definition_unfolding,[status(thm)],[f139,f134])).
% 15.03/3.34 thf(f134,plain,(
% 15.03/3.34 (inconsistency_G = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f49])).
% 15.03/3.34 thf(f49,plain,(
% 15.03/3.34 (inconsistency_G = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))))),
% 15.03/3.34 inference(fool_elimination,[status(thm)],[f48])).
% 15.03/3.34 thf(f48,plain,(
% 15.03/3.34 (inconsistency_G = (^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((inconsistency_P @ X2 @ X1) => (X2 @ X0 @ X1)))))),
% 15.03/3.34 inference(rectify,[status(thm)],[f3])).
% 15.03/3.34 thf(f3,axiom,(
% 15.03/3.34 (inconsistency_G = (^[X6 : qML_mu, X7 : qML_i] : (! [X8 : qML_mu > qML_i > $o] : ((inconsistency_P @ X8 @ X7) => (X8 @ X6 @ X7)))))),
% 15.03/3.34 file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_2_G__def)).
% 15.03/3.34 thf(f139,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (((inconsistency_P @ inconsistency_G @ X0) = $true)) )),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f57])).
% 15.03/3.34 thf(f57,plain,(
% 15.03/3.34 ! [X0 : qML_i] : ((inconsistency_P @ inconsistency_G @ X0) = $true)),
% 15.03/3.34 inference(fool_elimination,[status(thm)],[f56])).
% 15.03/3.34 thf(f56,plain,(
% 15.03/3.34 ! [X0 : qML_i] : (inconsistency_P @ inconsistency_G @ X0)),
% 15.03/3.34 inference(rectify,[status(thm)],[f5])).
% 15.03/3.34 thf(f5,axiom,(
% 15.03/3.34 ! [X5 : qML_i] : (inconsistency_P @ inconsistency_G @ X5)),
% 15.03/3.34 file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_4_A3)).
% 15.03/3.34 thf(f716,plain,(
% 15.03/3.34 ( ! [X1 : qML_i] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1) != $true)) )),
% 15.03/3.34 inference(subsumption_resolution,[status(thm)],[f714,f632])).
% 15.03/3.34 thf(f632,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1) != $true) | ($true != (inconsistency_P @ X2 @ X1))) )),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f631])).
% 15.03/3.34 thf(f631,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (($true != (inconsistency_P @ X2 @ X1)) | ($true = $false) | ((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1) != $true)) )),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f609])).
% 15.03/3.34 thf(f609,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1) != $true) | ($true != (inconsistency_P @ X2 @ X1)) | ($true = ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK16 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) @ (sK17 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))))) )),
% 15.03/3.34 inference(primitive_instantiation,[status(thm)],[f607])).
% 15.03/3.34 thf(f607,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (X0 @ (sK16 @ X0) @ (sK17 @ X0))) | ($true != (inconsistency_P @ X2 @ X1)) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.03/3.34 inference(not_proxy_clausification,[status(thm)],[f606])).
% 15.03/3.34 thf(f606,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true != (inconsistency_P @ X2 @ X1)) | ((inconsistency_P @ X0 @ X1) != $true) | ($true != (~ (X0 @ (sK16 @ X0) @ (sK17 @ X0))))) )),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f605])).
% 15.03/3.34 thf(f605,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : ((((^[Y0 : qML_i]: (~ (X0 @ (sK16 @ X0) @ Y0))) @ (sK17 @ X0)) != ((^[Y0 : qML_i]: ($true)) @ (sK17 @ X0))) | ((inconsistency_P @ X0 @ X1) != $true) | ($true != (inconsistency_P @ X2 @ X1))) )),
% 15.03/3.34 inference(negative_extensionality,[status(thm)],[f604])).
% 15.03/3.34 thf(f604,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((^[Y0 : qML_i]: ($true)) != (^[Y0 : qML_i]: (~ (X0 @ (sK16 @ X0) @ Y0)))) | ((inconsistency_P @ X0 @ X1) != $true) | ($true != (inconsistency_P @ X2 @ X1))) )),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f603])).
% 15.03/3.34 thf(f603,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : ((((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ (sK16 @ X0)) != ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ (sK16 @ X0))) | ($true != (inconsistency_P @ X2 @ X1)) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.03/3.34 inference(negative_extensionality,[status(thm)],[f585])).
% 15.03/3.34 thf(f585,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1)))))) | ($true != (inconsistency_P @ X2 @ X1)) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f579])).
% 15.03/3.34 thf(f579,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true != $true) | ((inconsistency_P @ X0 @ X1) != $true) | ($true != (inconsistency_P @ X2 @ X1)) | ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))))) )),
% 15.03/3.34 inference(constrained_superposition,[status(thm)],[f138,f556])).
% 15.03/3.34 thf(f556,plain,(
% 15.03/3.34 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1)) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f555])).
% 15.03/3.34 thf(f555,plain,(
% 15.03/3.34 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1)) | ($true != $true) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f521])).
% 15.03/3.34 thf(f521,plain,(
% 15.03/3.34 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X0 @ X1) != $true) | ($true != ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ (sK4 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1 @ X0) @ (sK3 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1 @ X0))) | ($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($true)))) @ X1))) )),
% 15.03/3.34 inference(primitive_instantiation,[status(thm)],[f122])).
% 15.03/3.34 thf(f122,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((X2 @ (sK4 @ X2 @ X1 @ X0) @ (sK3 @ X2 @ X1 @ X0)) != $true) | ($true = (inconsistency_P @ X2 @ X1)) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f107])).
% 15.03/3.34 thf(f107,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i,X2 : qML_mu > qML_i > $o] : (((($true = (X0 @ (sK4 @ X2 @ X1 @ X0) @ (sK3 @ X2 @ X1 @ X0))) & ((X2 @ (sK4 @ X2 @ X1 @ X0) @ (sK3 @ X2 @ X1 @ X0)) != $true)) & ($true = (qML_r @ X1 @ (sK3 @ X2 @ X1 @ X0)))) | ((inconsistency_P @ X0 @ X1) != $true) | ($true = (inconsistency_P @ X2 @ X1)))),
% 15.03/3.34 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f88,f106,f105])).
% 15.03/3.34 thf(f105,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i,X2 : qML_mu > qML_i > $o] : (? [X3 : qML_i] : (? [X4 : qML_mu] : (($true = (X0 @ X4 @ X3)) & ((X2 @ X4 @ X3) != $true)) & ($true = (qML_r @ X1 @ X3))) => (? [X4 : qML_mu] : (($true = (X0 @ X4 @ (sK3 @ X2 @ X1 @ X0))) & ((X2 @ X4 @ (sK3 @ X2 @ X1 @ X0)) != $true)) & ($true = (qML_r @ X1 @ (sK3 @ X2 @ X1 @ X0)))))),
% 15.03/3.34 introduced(definition,[],[choice_axiom])).
% 15.03/3.34 thf(f106,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i,X2 : qML_mu > qML_i > $o] : (? [X4 : qML_mu] : (($true = (X0 @ X4 @ (sK3 @ X2 @ X1 @ X0))) & ((X2 @ X4 @ (sK3 @ X2 @ X1 @ X0)) != $true)) => (($true = (X0 @ (sK4 @ X2 @ X1 @ X0) @ (sK3 @ X2 @ X1 @ X0))) & ((X2 @ (sK4 @ X2 @ X1 @ X0) @ (sK3 @ X2 @ X1 @ X0)) != $true)))),
% 15.03/3.34 introduced(definition,[],[choice_axiom])).
% 15.03/3.34 thf(f88,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i,X2 : qML_mu > qML_i > $o] : (? [X3 : qML_i] : (? [X4 : qML_mu] : (($true = (X0 @ X4 @ X3)) & ((X2 @ X4 @ X3) != $true)) & ($true = (qML_r @ X1 @ X3))) | ((inconsistency_P @ X0 @ X1) != $true) | ($true = (inconsistency_P @ X2 @ X1)))),
% 15.03/3.34 inference(flattening,[status(thm)],[f87])).
% 15.03/3.34 thf(f87,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i,X2 : qML_mu > qML_i > $o] : (($true = (inconsistency_P @ X2 @ X1)) | (((inconsistency_P @ X0 @ X1) != $true) | ? [X3 : qML_i] : (? [X4 : qML_mu] : (($true = (X0 @ X4 @ X3)) & ((X2 @ X4 @ X3) != $true)) & ($true = (qML_r @ X1 @ X3)))))),
% 15.03/3.34 inference(ennf_transformation,[status(thm)],[f71])).
% 15.03/3.34 thf(f71,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i,X2 : qML_mu > qML_i > $o] : ((((inconsistency_P @ X0 @ X1) = $true) & ! [X3 : qML_i] : (($true = (qML_r @ X1 @ X3)) => ! [X4 : qML_mu] : (($true = (X0 @ X4 @ X3)) => ((X2 @ X4 @ X3) = $true)))) => ($true = (inconsistency_P @ X2 @ X1)))),
% 15.03/3.34 inference(fool_elimination,[status(thm)],[f70])).
% 15.03/3.34 thf(f70,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i,X2 : qML_mu > qML_i > $o] : (((inconsistency_P @ X0 @ X1) & ! [X3 : qML_i] : ((qML_r @ X1 @ X3) => ! [X4 : qML_mu] : ((X0 @ X4 @ X3) => (X2 @ X4 @ X3)))) => (inconsistency_P @ X2 @ X1))),
% 15.03/3.34 inference(rectify,[status(thm)],[f1])).
% 15.03/3.34 thf(f1,axiom,(
% 15.03/3.34 ! [X1 : qML_mu > qML_i > $o,X0 : qML_i,X2 : qML_mu > qML_i > $o] : (((inconsistency_P @ X1 @ X0) & ! [X3 : qML_i] : ((qML_r @ X0 @ X3) => ! [X4 : qML_mu] : ((X1 @ X4 @ X3) => (X2 @ X4 @ X3)))) => (inconsistency_P @ X2 @ X0))),
% 15.03/3.34 file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_0_A2)).
% 15.03/3.34 thf(f138,plain,(
% 15.03/3.34 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true != (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1)) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f92])).
% 15.03/3.34 thf(f92,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X0 @ X1) != $true) | ($true != (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1)))),
% 15.03/3.34 inference(ennf_transformation,[status(thm)],[f82])).
% 15.03/3.34 thf(f82,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1)) => ((inconsistency_P @ X0 @ X1) != $true))),
% 15.03/3.34 inference(flattening,[status(thm)],[f69])).
% 15.03/3.34 thf(f69,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (~ (X0 @ Y0 @ Y1))))) @ X1)) => ~((inconsistency_P @ X0 @ X1) = $true))),
% 15.03/3.34 inference(fool_elimination,[status(thm)],[f68])).
% 15.03/3.34 thf(f68,plain,(
% 15.03/3.34 ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : ((inconsistency_P @ (^[X2 : qML_mu, X3 : qML_i] : (~(X0 @ X2 @ X3))) @ X1) => ~(inconsistency_P @ X0 @ X1))),
% 15.03/3.34 inference(rectify,[status(thm)],[f4])).
% 15.03/3.34 thf(f4,axiom,(
% 15.03/3.34 ! [X1 : qML_mu > qML_i > $o,X0 : qML_i] : ((inconsistency_P @ (^[X8 : qML_mu, X9 : qML_i] : (~(X1 @ X8 @ X9))) @ X0) => ~(inconsistency_P @ X1 @ X0))),
% 15.03/3.34 file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_3_A1a)).
% 15.03/3.34 thf(f714,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1) != $true) | ($true = (inconsistency_P @ X2 @ X1))) )),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f713])).
% 15.03/3.34 thf(f713,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1) != $true) | ($true = $false) | ($true = (inconsistency_P @ X2 @ X1))) )),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f686])).
% 15.03/3.34 thf(f686,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ X1) != $true) | ($true = (inconsistency_P @ X2 @ X1)) | ($true = ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ (sK4 @ X2 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) @ (sK3 @ X2 @ X1 @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))))))) )),
% 15.03/3.34 inference(primitive_instantiation,[status(thm)],[f123])).
% 15.03/3.34 thf(f123,plain,(
% 15.03/3.34 ( ! [X2 : qML_mu > qML_i > $o,X0 : qML_mu > qML_i > $o,X1 : qML_i] : (($true = (X0 @ (sK4 @ X2 @ X1 @ X0) @ (sK3 @ X2 @ X1 @ X0))) | ($true = (inconsistency_P @ X2 @ X1)) | ((inconsistency_P @ X0 @ X1) != $true)) )),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f107])).
% 15.03/3.34 thf(f1497,plain,(
% 15.03/3.34 spl6_13 | spl6_15 | spl6_8),
% 15.03/3.34 inference(avatar_split_clause,[status(thm)],[f1463,f653,f1495,f1488])).
% 15.03/3.34 thf(f1463,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((qML_r @ X0 @ sK33) != $true) | ($false = (qML_r @ sK33 @ X2)) | ((X1 @ (sK54 @ X1 @ X2) @ X2) = $true) | ($true = (X1 @ (sK56 @ X1) @ (sK55 @ X1)))) ) | spl6_8),
% 15.03/3.34 inference(binary_proxy_clausification,[status(thm)],[f1461])).
% 15.03/3.34 thf(f1461,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((X1 @ (sK54 @ X1 @ X2) @ X2) = $true) | ((qML_r @ X0 @ sK33) != $true) | ($false = (qML_r @ sK33 @ X2)) | ($false = ((X1 @ (sK56 @ X1) @ (sK55 @ X1)) => (sK53 @ X1 @ (sK56 @ X1) @ (sK55 @ X1))))) ) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1460])).
% 15.03/3.34 thf(f1460,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((qML_r @ X0 @ sK33) != $true) | ((X1 @ (sK54 @ X1 @ X2) @ X2) = $true) | ($false = ((^[Y0 : qML_mu]: ((X1 @ Y0 @ (sK55 @ X1)) => (sK53 @ X1 @ Y0 @ (sK55 @ X1)))) @ (sK56 @ X1))) | ($false = (qML_r @ sK33 @ X2))) ) | spl6_8),
% 15.03/3.34 inference(sigma_clausification,[status(thm)],[f1458])).
% 15.03/3.34 thf(f1458,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (!! @ qML_mu @ (^[Y0 : qML_mu]: ((X1 @ Y0 @ (sK55 @ X1)) => (sK53 @ X1 @ Y0 @ (sK55 @ X1)))))) | ((qML_r @ X0 @ sK33) != $true) | ($false = (qML_r @ sK33 @ X2)) | ((X1 @ (sK54 @ X1 @ X2) @ X2) = $true)) ) | spl6_8),
% 15.03/3.34 inference(binary_proxy_clausification,[status(thm)],[f1457])).
% 15.03/3.34 thf(f1457,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (qML_r @ sK33 @ X2)) | ($false = ((qML_r @ sK33 @ (sK55 @ X1)) => (!! @ qML_mu @ (^[Y0 : qML_mu]: ((X1 @ Y0 @ (sK55 @ X1)) => (sK53 @ X1 @ Y0 @ (sK55 @ X1))))))) | ((qML_r @ X0 @ sK33) != $true) | ((X1 @ (sK54 @ X1 @ X2) @ X2) = $true)) ) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1456])).
% 15.03/3.34 thf(f1456,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((qML_r @ X0 @ sK33) != $true) | ($false = ((^[Y0 : qML_i]: ((qML_r @ sK33 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK53 @ X1 @ Y1 @ Y0)))))) @ (sK55 @ X1))) | ($false = (qML_r @ sK33 @ X2)) | ((X1 @ (sK54 @ X1 @ X2) @ X2) = $true)) ) | spl6_8),
% 15.03/3.34 inference(sigma_clausification,[status(thm)],[f1454])).
% 15.03/3.34 thf(f1454,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((X1 @ (sK54 @ X1 @ X2) @ X2) = $true) | ((qML_r @ X0 @ sK33) != $true) | ($false = (qML_r @ sK33 @ X2)) | ($false = (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK33 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK53 @ X1 @ Y1 @ Y0))))))))) ) | spl6_8),
% 15.03/3.34 inference(binary_proxy_clausification,[status(thm)],[f1453])).
% 15.03/3.34 thf(f1453,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = ((sK53 @ X1 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK33 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK53 @ X1 @ Y1 @ Y0))))))))) | ((qML_r @ X0 @ sK33) != $true) | ($false = (qML_r @ sK33 @ X2)) | ((X1 @ (sK54 @ X1 @ X2) @ X2) = $true)) ) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1452])).
% 15.03/3.34 thf(f1452,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (qML_r @ sK33 @ X2)) | ($false = ((sK53 @ X1 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK33 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK53 @ X1 @ Y1 @ Y0))))))))) | (((^[Y0 : qML_mu]: (X1 @ Y0 @ X2)) @ (sK54 @ X1 @ X2)) = $true) | ((qML_r @ X0 @ sK33) != $true)) ) | spl6_8),
% 15.03/3.34 inference(sigma_clausification,[status(thm)],[f1451])).
% 15.03/3.34 thf(f1451,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((qML_r @ X0 @ sK33) != $true) | ($true = (?? @ qML_mu @ (^[Y0 : qML_mu]: (X1 @ Y0 @ X2)))) | ($false = (qML_r @ sK33 @ X2)) | ($false = ((sK53 @ X1 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK33 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK53 @ X1 @ Y1 @ Y0)))))))))) ) | spl6_8),
% 15.03/3.34 inference(binary_proxy_clausification,[status(thm)],[f1450])).
% 15.03/3.34 thf(f1450,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : ((((qML_r @ sK33 @ X2) => (?? @ qML_mu @ (^[Y0 : qML_mu]: (X1 @ Y0 @ X2)))) = $true) | ($false = ((sK53 @ X1 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK33 @ Y0) => (!! @ qML_mu @ (^[Y1 : qML_mu]: ((X1 @ Y1 @ Y0) => (sK53 @ X1 @ Y1 @ Y0))))))))) | ((qML_r @ X0 @ sK33) != $true)) ) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1449])).
% 15.03/3.34 thf(f1449,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((qML_r @ X0 @ sK33) != $true) | (((^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK33 @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))) @ (sK53 @ X1)) = $false) | (((qML_r @ sK33 @ X2) => (?? @ qML_mu @ (^[Y0 : qML_mu]: (X1 @ Y0 @ X2)))) = $true)) ) | spl6_8),
% 15.03/3.34 inference(sigma_clausification,[status(thm)],[f1448])).
% 15.03/3.34 thf(f1448,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK33 @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))))) | ((qML_r @ X0 @ sK33) != $true) | (((qML_r @ sK33 @ X2) => (?? @ qML_mu @ (^[Y0 : qML_mu]: (X1 @ Y0 @ X2)))) = $true)) ) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1447])).
% 15.03/3.34 thf(f1447,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (($false = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK33 @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))))) | ($true = ((^[Y0 : qML_i]: ((qML_r @ sK33 @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X1 @ Y1 @ Y0))))) @ X2)) | ((qML_r @ X0 @ sK33) != $true)) ) | spl6_8),
% 15.03/3.34 inference(pi_clausification,[status(thm)],[f1446])).
% 15.03/3.34 thf(f1446,plain,(
% 15.03/3.34 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((qML_r @ X0 @ sK33) != $true) | ($true = (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK33 @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X1 @ Y1 @ Y0))))))) | ($false = (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK33 @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))))))))) ) | spl6_8),
% 15.03/3.34 inference(binary_proxy_clausification,[status(thm)],[f1445])).
% 15.03/3.34 thf(f1445,plain,(
% 15.03/3.34 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((qML_r @ X0 @ sK33) != $true) | (((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((Y0 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK33 @ Y1) => (!! @ qML_mu @ (^[Y2 : qML_mu]: ((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))))))) => (!! @ qML_i @ (^[Y0 : qML_i]: ((qML_r @ sK33 @ Y0) => (?? @ qML_mu @ (^[Y1 : qML_mu]: (X1 @ Y1 @ Y0))))))) = $true)) ) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1444])).
% 15.03/3.34 thf(f1444,plain,(
% 15.03/3.34 ( ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((qML_r @ X0 @ sK33) != $true) | ($true = ((^[Y0 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y2 : qML_i]: ((qML_r @ sK33 @ Y2) => (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK33 @ Y1) => (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1)))))))) @ X1))) ) | spl6_8),
% 15.03/3.34 inference(pi_clausification,[status(thm)],[f1443])).
% 15.03/3.34 thf(f1443,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (((qML_r @ X0 @ sK33) != $true) | ((!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((Y1 @ sK32 @ sK33) => (!! @ qML_i @ (^[Y2 : qML_i]: ((qML_r @ sK33 @ Y2) => (!! @ qML_mu @ (^[Y3 : qML_mu]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2)))))))))) => (!! @ qML_i @ (^[Y1 : qML_i]: ((qML_r @ sK33 @ Y1) => (?? @ qML_mu @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1))))))))) = $true)) ) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1442])).
% 15.03/3.34 thf(f1442,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : ((((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ sK32 @ sK33) = $true) | ((qML_r @ X0 @ sK33) != $true)) ) | spl6_8),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f1420])).
% 15.03/3.34 thf(f1420,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : ((((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ sK32 @ sK33) = $true) | ($true != $true) | ((qML_r @ X0 @ sK33) != $true)) ) | spl6_8),
% 15.03/3.34 inference(superposition,[status(thm)],[f1281,f171])).
% 15.03/3.34 thf(f171,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (((inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y1 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y2 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4)))))))))) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ X0) = $true)) )),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f145])).
% 15.03/3.34 thf(f145,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (($true = (inconsistency_P @ (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((^[Y3 : qML_mu > qML_i > $o]: ((^[Y4 : qML_mu]: ((^[Y5 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y6 : qML_mu > qML_i > $o]: ((Y6 @ Y4 @ Y5) => (!! @ qML_i @ (^[Y7 : qML_i]: ((qML_r @ Y5 @ Y7) => (!! @ qML_mu @ (^[Y8 : qML_mu]: ((Y3 @ Y8 @ Y7) => (Y6 @ Y8 @ Y7))))))))))))))) @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))) @ X0))) )),
% 15.03/3.34 inference(definition_unfolding,[status(thm)],[f133,f140])).
% 15.03/3.34 thf(f140,plain,(
% 15.03/3.34 (incons1905966852QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: (((^[Y3 : qML_mu > qML_i > $o]: ((^[Y4 : qML_mu]: ((^[Y5 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y6 : qML_mu > qML_i > $o]: ((Y6 @ Y4 @ Y5) => (!! @ qML_i @ (^[Y7 : qML_i]: ((qML_r @ Y5 @ Y7) => (!! @ qML_mu @ (^[Y8 : qML_mu]: ((Y3 @ Y8 @ Y7) => (Y6 @ Y8 @ Y7))))))))))))))) @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))),
% 15.03/3.34 inference(definition_unfolding,[status(thm)],[f117,f135])).
% 15.03/3.34 thf(f135,plain,(
% 15.03/3.34 (incons1389517216QML_mu = (^[Y0 : qML_mu > qML_i > $o]: ((^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))))))))))),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f55])).
% 15.03/3.34 thf(f55,plain,(
% 15.03/3.34 (incons1389517216QML_mu = (^[Y0 : qML_mu > qML_i > $o]: ((^[Y1 : qML_mu]: ((^[Y2 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y3 : qML_mu > qML_i > $o]: ((Y3 @ Y1 @ Y2) => (!! @ qML_i @ (^[Y4 : qML_i]: ((qML_r @ Y2 @ Y4) => (!! @ qML_mu @ (^[Y5 : qML_mu]: ((Y0 @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))))))))))))),
% 15.03/3.34 inference(fool_elimination,[status(thm)],[f54])).
% 15.03/3.34 thf(f54,plain,(
% 15.03/3.34 ((^[X0 : qML_mu > qML_i > $o, X1 : qML_mu, X2 : qML_i] : (! [X3 : qML_mu > qML_i > $o] : ((X3 @ X1 @ X2) => ! [X4 : qML_i] : ((qML_r @ X2 @ X4) => ! [X5 : qML_mu] : ((X0 @ X5 @ X4) => (X3 @ X5 @ X4)))))) = incons1389517216QML_mu)),
% 15.03/3.34 inference(rectify,[status(thm)],[f12])).
% 15.03/3.34 thf(f12,axiom,(
% 15.03/3.34 ((^[X15 : qML_mu > qML_i > $o, X6 : qML_mu, X7 : qML_i] : (! [X8 : qML_mu > qML_i > $o] : ((X8 @ X6 @ X7) => ! [X14 : qML_i] : ((qML_r @ X7 @ X14) => ! [X9 : qML_mu] : ((X15 @ X9 @ X14) => (X8 @ X9 @ X14)))))) = incons1389517216QML_mu)),
% 15.03/3.34 file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_11_ess__def)).
% 15.03/3.34 thf(f117,plain,(
% 15.03/3.34 (incons1905966852QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f77])).
% 15.03/3.34 thf(f77,plain,(
% 15.03/3.34 (incons1905966852QML_mu = (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) => (!! @ qML_i @ (^[Y3 : qML_i]: ((qML_r @ Y1 @ Y3) => (?? @ qML_mu @ (^[Y4 : qML_mu]: (Y2 @ Y4 @ Y3)))))))))))))),
% 15.03/3.34 inference(fool_elimination,[status(thm)],[f76])).
% 15.03/3.34 thf(f76,plain,(
% 15.03/3.34 (incons1905966852QML_mu = (^[X0 : qML_mu, X1 : qML_i] : (! [X2 : qML_mu > qML_i > $o] : ((incons1389517216QML_mu @ X2 @ X0 @ X1) => ! [X3 : qML_i] : ((qML_r @ X1 @ X3) => ? [X4 : qML_mu] : (X2 @ X4 @ X3))))))),
% 15.03/3.34 inference(rectify,[status(thm)],[f11])).
% 15.03/3.34 thf(f11,axiom,(
% 15.03/3.34 (incons1905966852QML_mu = (^[X6 : qML_mu, X7 : qML_i] : (! [X8 : qML_mu > qML_i > $o] : ((incons1389517216QML_mu @ X8 @ X6 @ X7) => ! [X14 : qML_i] : ((qML_r @ X7 @ X14) => ? [X9 : qML_mu] : (X8 @ X9 @ X14))))))),
% 15.03/3.34 file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_10_NE__def)).
% 15.03/3.34 thf(f133,plain,(
% 15.03/3.34 ( ! [X0 : qML_i] : (((inconsistency_P @ incons1905966852QML_mu @ X0) = $true)) )),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f33])).
% 15.03/3.34 thf(f33,plain,(
% 15.03/3.34 ! [X0 : qML_i] : ((inconsistency_P @ incons1905966852QML_mu @ X0) = $true)),
% 15.03/3.34 inference(fool_elimination,[status(thm)],[f32])).
% 15.03/3.34 thf(f32,plain,(
% 15.03/3.34 ! [X0 : qML_i] : (inconsistency_P @ incons1905966852QML_mu @ X0)),
% 15.03/3.34 inference(rectify,[status(thm)],[f2])).
% 15.03/3.34 thf(f2,axiom,(
% 15.03/3.34 ! [X5 : qML_i] : (inconsistency_P @ incons1905966852QML_mu @ X5)),
% 15.03/3.34 file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_1_A5)).
% 15.03/3.34 thf(f1281,plain,(
% 15.03/3.34 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((inconsistency_P @ X0 @ X1) != $true) | ((X0 @ sK32 @ sK33) = $true) | ($true != (qML_r @ X1 @ sK33))) ) | spl6_8),
% 15.03/3.34 inference(trivial_inequality_removal,[status(thm)],[f1223])).
% 15.03/3.34 thf(f1223,plain,(
% 15.03/3.34 ( ! [X0 : qML_mu > qML_i > $o,X1 : qML_i] : (((X0 @ sK32 @ sK33) = $true) | ($true != (qML_r @ X1 @ sK33)) | ($true = $false) | ((inconsistency_P @ X0 @ X1) != $true)) ) | spl6_8),
% 15.03/3.34 inference(superposition,[status(thm)],[f127,f1216])).
% 15.03/3.34 thf(f1216,plain,(
% 15.03/3.34 ( ! [X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ X1 @ sK33) = $false) | ($true = (X1 @ sK32 @ sK33))) ) | spl6_8),
% 15.03/3.34 inference(binary_proxy_clausification,[status(thm)],[f1215])).
% 15.03/3.34 thf(f1215,plain,(
% 15.03/3.34 ( ! [X1 : qML_mu > qML_i > $o] : ((((inconsistency_P @ X1 @ sK33) => (X1 @ sK32 @ sK33)) = $true)) ) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1214])).
% 15.03/3.34 thf(f1214,plain,(
% 15.03/3.34 ( ! [X1 : qML_mu > qML_i > $o] : (($true = ((^[Y0 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y0 @ sK33) => (Y0 @ sK32 @ sK33))) @ X1))) ) | spl6_8),
% 15.03/3.34 inference(pi_clausification,[status(thm)],[f1213])).
% 15.03/3.34 thf(f1213,plain,(
% 15.03/3.34 ($false != (!! @ (qML_mu > qML_i > $o) @ (^[Y0 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y0 @ sK33) => (Y0 @ sK32 @ sK33))))) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1212])).
% 15.03/3.34 thf(f1212,plain,(
% 15.03/3.34 (((^[Y0 : qML_i]: ($false)) @ sK33) != ((^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y1 @ Y0) => (Y1 @ sK32 @ Y0))))) @ sK33)) | spl6_8),
% 15.03/3.34 inference(negative_extensionality,[status(thm)],[f1211])).
% 15.03/3.34 thf(f1211,plain,(
% 15.03/3.34 ((^[Y0 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y1 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y1 @ Y0) => (Y1 @ sK32 @ Y0))))) != (^[Y0 : qML_i]: ($false))) | spl6_8),
% 15.03/3.34 inference(beta_eta_normalization,[status(thm)],[f1210])).
% 15.03/3.34 thf(f1210,plain,(
% 15.03/3.34 (((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false)))) @ sK32) != ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ sK32)) | spl6_8),
% 15.03/3.34 inference(negative_extensionality,[status(thm)],[f655])).
% 15.03/3.34 thf(f655,plain,(
% 15.03/3.34 ((^[Y0 : qML_mu]: ((^[Y1 : qML_i]: (!! @ (qML_mu > qML_i > $o) @ (^[Y2 : qML_mu > qML_i > $o]: ((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) != (^[Y0 : qML_mu]: ((^[Y1 : qML_i]: ($false))))) | spl6_8),
% 15.03/3.34 inference(avatar_component_clause,[status(thm)],[f653])).
% 15.03/3.34 thf(f127,plain,(
% 15.03/3.34 ( ! [X2 : qML_i,X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ X1 @ X2) = $true) | ((inconsistency_P @ X1 @ X0) != $true) | ((qML_r @ X0 @ X2) != $true)) )),
% 15.03/3.34 inference(cnf_transformation,[status(thm)],[f91])).
% 15.03/3.34 thf(f91,plain,(
% 15.03/3.34 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ X1 @ X0) != $true) | ! [X2 : qML_i] : (((inconsistency_P @ X1 @ X2) = $true) | ((qML_r @ X0 @ X2) != $true)))),
% 15.03/3.34 inference(ennf_transformation,[status(thm)],[f63])).
% 15.03/3.34 thf(f63,plain,(
% 15.03/3.34 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : (((inconsistency_P @ X1 @ X0) = $true) => ! [X2 : qML_i] : (((qML_r @ X0 @ X2) = $true) => ((inconsistency_P @ X1 @ X2) = $true)))),
% 15.03/3.34 inference(fool_elimination,[status(thm)],[f62])).
% 15.03/3.34 thf(f62,plain,(
% 15.03/3.34 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : ((inconsistency_P @ X1 @ X0) => ! [X2 : qML_i] : ((qML_r @ X0 @ X2) => (inconsistency_P @ X1 @ X2)))),
% 15.03/3.34 inference(rectify,[status(thm)],[f7])).
% 15.03/3.34 thf(f7,axiom,(
% 15.03/3.34 ! [X0 : qML_i,X1 : qML_mu > qML_i > $o] : ((inconsistency_P @ X1 @ X0) => ! [X10 : qML_i] : ((qML_r @ X0 @ X10) => (inconsistency_P @ X1 @ X10)))),
% 15.03/3.34 file('/export/starexec/sandbox2/tmp/tmp.Tv5GdbmIHu/DTF2THF_3887.p',fact_6_A4)).
% 15.03/3.34 % SZS output end Proof for DTF2THF_3887
% 15.03/3.34 % (4195)------------------------------
% 15.03/3.34 % (4195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.03/3.34 % (4195)Termination reason: Refutation
% 15.03/3.34
% 15.03/3.34 % (4195)Memory used [KB]: 7036
% 15.03/3.34 % (4195)Time elapsed: 0.183 s
% 15.03/3.34 % (4195)Instructions burned: 598 (million)
% 15.03/3.34 % (4195)------------------------------
% 15.03/3.34 % (4195)------------------------------
% 15.03/3.34 % (4003)Success in time 2.017 s
%------------------------------------------------------------------------------