%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU948^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 09:37:49 AM UTC 2026
% Result : Theorem 13.46s 3.03s
% Output : Refutation 13.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 4 unt; 0 typ; 2 def)
% Number of atoms : 437 ( 170 equ; 0 cnn)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 783 ( 91 ~; 81 |; 64 &; 506 @)
% ( 2 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 216 ( 216 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 344 ( 242 ^; 72 !; 30 ?; 344 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_6,type,
sK0: a > a ).
thf(func_def_7,type,
sK1: a > a ).
thf(func_def_8,type,
sK2: a > a ).
thf(func_def_9,type,
sK3: ( a > a ) > $o ).
thf(func_def_10,type,
sK4: ( ( a > a ) > $o ) > a > a ).
thf(func_def_11,type,
sK5: ( ( a > a ) > $o ) > a > a ).
thf(func_def_13,type,
ph7:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
sK8: a ).
thf(func_def_15,type,
sK9: a ).
thf(func_def_20,type,
sK10: a ).
thf(func_def_21,type,
sK11: a ).
thf(func_def_22,type,
sK12: a ).
thf(func_def_23,type,
sK13: a ).
thf(f446,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f114,f266,f444]) ).
thf(f444,plain,
~ spl6_4,
inference(avatar_contradiction_clause,[status(thm)],[f443]) ).
thf(f443,plain,
( $false
| ~ spl6_4 ),
inference(subsumption_resolution,[status(thm)],[f442,f113]) ).
thf(f113,plain,
( ( $true
= ( sK3 @ sK2 ) )
| ~ spl6_4 ),
inference(avatar_component_clause,[status(thm)],[f111]) ).
thf(f111,definition,
( spl6_4
<=> ( $true
= ( sK3 @ sK2 ) ) ),
introduced(definition,[new_symbols(naming,[spl6_4])],[avatar_definition]) ).
thf(f442,plain,
( ( $true
!= ( sK3 @ sK2 ) )
| ~ spl6_4 ),
inference(subsumption_resolution,[status(thm)],[f441,f21]) ).
thf(f21,plain,
( ( sK3
@ ^ [Y0: a] : ( sK1 @ ( sK2 @ Y0 ) ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
( ( ( sK3
@ ^ [Y0: a] : ( sK1 @ ( sK2 @ Y0 ) ) )
!= $true )
& ( $true
= ( sK3
@ ^ [Y0: a] : Y0 ) )
& ! [X4: a > a] :
( ( $true
!= ( sK3 @ X4 ) )
| ( ( sK3
@ ^ [Y0: a] : ( sK0 @ ( X4 @ Y0 ) ) )
= $true ) )
& ! [X5: ( a > a ) > $o] :
( ( ( X5 @ sK1 )
= $true )
| ( $true
!= ( X5
@ ^ [Y0: a] : Y0 ) )
| ( ( $true
= ( X5 @ ( sK4 @ X5 ) ) )
& ( ( X5
@ ^ [Y0: a] : ( sK0 @ ( sK4 @ X5 @ Y0 ) ) )
!= $true ) ) )
& ! [X7: ( a > a ) > $o] :
( ( $true
!= ( X7
@ ^ [Y0: a] : Y0 ) )
| ( ( ( X7
@ ^ [Y0: a] : ( sK0 @ ( sK5 @ X7 @ Y0 ) ) )
!= $true )
& ( $true
= ( X7 @ ( sK5 @ X7 ) ) ) )
| ( $true
= ( X7 @ sK2 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f9,f13,f12,f11,f10]) ).
thf(f10,plain,
( ? [X0: a > a,X1: a > a,X2: a > a] :
( ? [X3: ( a > a ) > $o] :
( ( ( X3
@ ^ [Y0: a] : ( X1 @ ( X2 @ Y0 ) ) )
!= $true )
& ( $true
= ( X3
@ ^ [Y0: a] : Y0 ) )
& ! [X4: a > a] :
( ( $true
!= ( X3 @ X4 ) )
| ( $true
= ( X3
@ ^ [Y0: a] : ( X0 @ ( X4 @ Y0 ) ) ) ) ) )
& ! [X5: ( a > a ) > $o] :
( ( ( X5 @ X1 )
= $true )
| ( $true
!= ( X5
@ ^ [Y0: a] : Y0 ) )
| ? [X6: a > a] :
( ( $true
= ( X5 @ X6 ) )
& ( ( X5
@ ^ [Y0: a] : ( X0 @ ( X6 @ Y0 ) ) )
!= $true ) ) )
& ! [X7: ( a > a ) > $o] :
( ( $true
!= ( X7
@ ^ [Y0: a] : Y0 ) )
| ? [X8: a > a] :
( ( ( X7
@ ^ [Y0: a] : ( X0 @ ( X8 @ Y0 ) ) )
!= $true )
& ( ( X7 @ X8 )
= $true ) )
| ( $true
= ( X7 @ X2 ) ) ) )
=> ( ? [X3: ( a > a ) > $o] :
( ( $true
!= ( X3
@ ^ [Y0: a] : ( sK1 @ ( sK2 @ Y0 ) ) ) )
& ( $true
= ( X3
@ ^ [Y0: a] : Y0 ) )
& ! [X4: a > a] :
( ( $true
!= ( X3 @ X4 ) )
| ( $true
= ( X3
@ ^ [Y0: a] : ( sK0 @ ( X4 @ Y0 ) ) ) ) ) )
& ! [X5: ( a > a ) > $o] :
( ( ( X5 @ sK1 )
= $true )
| ( $true
!= ( X5
@ ^ [Y0: a] : Y0 ) )
| ? [X6: a > a] :
( ( $true
= ( X5 @ X6 ) )
& ( $true
!= ( X5
@ ^ [Y0: a] : ( sK0 @ ( X6 @ Y0 ) ) ) ) ) )
& ! [X7: ( a > a ) > $o] :
( ( $true
!= ( X7
@ ^ [Y0: a] : Y0 ) )
| ? [X8: a > a] :
( ( $true
!= ( X7
@ ^ [Y0: a] : ( sK0 @ ( X8 @ Y0 ) ) ) )
& ( ( X7 @ X8 )
= $true ) )
| ( $true
= ( X7 @ sK2 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11,plain,
( ? [X3: ( a > a ) > $o] :
( ( $true
!= ( X3
@ ^ [Y0: a] : ( sK1 @ ( sK2 @ Y0 ) ) ) )
& ( $true
= ( X3
@ ^ [Y0: a] : Y0 ) )
& ! [X4: a > a] :
( ( $true
!= ( X3 @ X4 ) )
| ( $true
= ( X3
@ ^ [Y0: a] : ( sK0 @ ( X4 @ Y0 ) ) ) ) ) )
=> ( ( ( sK3
@ ^ [Y0: a] : ( sK1 @ ( sK2 @ Y0 ) ) )
!= $true )
& ( $true
= ( sK3
@ ^ [Y0: a] : Y0 ) )
& ! [X4: a > a] :
( ( $true
!= ( sK3 @ X4 ) )
| ( ( sK3
@ ^ [Y0: a] : ( sK0 @ ( X4 @ Y0 ) ) )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f12,plain,
! [X5: ( a > a ) > $o] :
( ? [X6: a > a] :
( ( $true
= ( X5 @ X6 ) )
& ( $true
!= ( X5
@ ^ [Y0: a] : ( sK0 @ ( X6 @ Y0 ) ) ) ) )
=> ( ( $true
= ( X5 @ ( sK4 @ X5 ) ) )
& ( ( X5
@ ^ [Y0: a] : ( sK0 @ ( sK4 @ X5 @ Y0 ) ) )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f13,plain,
! [X7: ( a > a ) > $o] :
( ? [X8: a > a] :
( ( $true
!= ( X7
@ ^ [Y0: a] : ( sK0 @ ( X8 @ Y0 ) ) ) )
& ( ( X7 @ X8 )
= $true ) )
=> ( ( ( X7
@ ^ [Y0: a] : ( sK0 @ ( sK5 @ X7 @ Y0 ) ) )
!= $true )
& ( $true
= ( X7 @ ( sK5 @ X7 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
? [X0: a > a,X1: a > a,X2: a > a] :
( ? [X3: ( a > a ) > $o] :
( ( ( X3
@ ^ [Y0: a] : ( X1 @ ( X2 @ Y0 ) ) )
!= $true )
& ( $true
= ( X3
@ ^ [Y0: a] : Y0 ) )
& ! [X4: a > a] :
( ( $true
!= ( X3 @ X4 ) )
| ( $true
= ( X3
@ ^ [Y0: a] : ( X0 @ ( X4 @ Y0 ) ) ) ) ) )
& ! [X5: ( a > a ) > $o] :
( ( ( X5 @ X1 )
= $true )
| ( $true
!= ( X5
@ ^ [Y0: a] : Y0 ) )
| ? [X6: a > a] :
( ( $true
= ( X5 @ X6 ) )
& ( ( X5
@ ^ [Y0: a] : ( X0 @ ( X6 @ Y0 ) ) )
!= $true ) ) )
& ! [X7: ( a > a ) > $o] :
( ( $true
!= ( X7
@ ^ [Y0: a] : Y0 ) )
| ? [X8: a > a] :
( ( ( X7
@ ^ [Y0: a] : ( X0 @ ( X8 @ Y0 ) ) )
!= $true )
& ( ( X7 @ X8 )
= $true ) )
| ( $true
= ( X7 @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,plain,
? [X0: a > a,X1: a > a,X2: a > a] :
( ? [X7: ( a > a ) > $o] :
( ( $true
!= ( X7
@ ^ [Y0: a] : ( X1 @ ( X2 @ Y0 ) ) ) )
& ( $true
= ( X7
@ ^ [Y0: a] : Y0 ) )
& ! [X8: a > a] :
( ( ( X7 @ X8 )
!= $true )
| ( ( X7
@ ^ [Y0: a] : ( X0 @ ( X8 @ Y0 ) ) )
= $true ) ) )
& ! [X5: ( a > a ) > $o] :
( ( ( X5 @ X1 )
= $true )
| ( $true
!= ( X5
@ ^ [Y0: a] : Y0 ) )
| ? [X6: a > a] :
( ( $true
= ( X5 @ X6 ) )
& ( ( X5
@ ^ [Y0: a] : ( X0 @ ( X6 @ Y0 ) ) )
!= $true ) ) )
& ! [X3: ( a > a ) > $o] :
( ( $true
!= ( X3
@ ^ [Y0: a] : Y0 ) )
| ? [X4: a > a] :
( ( $true
!= ( X3
@ ^ [Y0: a] : ( X0 @ ( X4 @ Y0 ) ) ) )
& ( $true
= ( X3 @ X4 ) ) )
| ( ( X3 @ X2 )
= $true ) ) ),
inference(flattening,[status(thm)],[f7]) ).
thf(f7,plain,
? [X0: a > a,X1: a > a,X2: a > a] :
( ? [X7: ( a > a ) > $o] :
( ( $true
!= ( X7
@ ^ [Y0: a] : ( X1 @ ( X2 @ Y0 ) ) ) )
& ! [X8: a > a] :
( ( ( X7 @ X8 )
!= $true )
| ( ( X7
@ ^ [Y0: a] : ( X0 @ ( X8 @ Y0 ) ) )
= $true ) )
& ( $true
= ( X7
@ ^ [Y0: a] : Y0 ) ) )
& ! [X3: ( a > a ) > $o] :
( ( ( X3 @ X2 )
= $true )
| ? [X4: a > a] :
( ( $true
!= ( X3
@ ^ [Y0: a] : ( X0 @ ( X4 @ Y0 ) ) ) )
& ( $true
= ( X3 @ X4 ) ) )
| ( $true
!= ( X3
@ ^ [Y0: a] : Y0 ) ) )
& ! [X5: ( a > a ) > $o] :
( ( ( X5 @ X1 )
= $true )
| ( $true
!= ( X5
@ ^ [Y0: a] : Y0 ) )
| ? [X6: a > a] :
( ( $true
= ( X5 @ X6 ) )
& ( ( X5
@ ^ [Y0: a] : ( X0 @ ( X6 @ Y0 ) ) )
!= $true ) ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ! [X0: a > a,X1: a > a,X2: a > a] :
( ( ! [X3: ( a > a ) > $o] :
( ( ! [X4: a > a] :
( ( $true
= ( X3 @ X4 ) )
=> ( $true
= ( X3
@ ^ [Y0: a] : ( X0 @ ( X4 @ Y0 ) ) ) ) )
& ( $true
= ( X3
@ ^ [Y0: a] : Y0 ) ) )
=> ( ( X3 @ X2 )
= $true ) )
& ! [X5: ( a > a ) > $o] :
( ( ( $true
= ( X5
@ ^ [Y0: a] : Y0 ) )
& ! [X6: a > a] :
( ( $true
= ( X5 @ X6 ) )
=> ( ( X5
@ ^ [Y0: a] : ( X0 @ ( X6 @ Y0 ) ) )
= $true ) ) )
=> ( ( X5 @ X1 )
= $true ) ) )
=> ! [X7: ( a > a ) > $o] :
( ( ! [X8: a > a] :
( ( ( X7 @ X8 )
= $true )
=> ( ( X7
@ ^ [Y0: a] : ( X0 @ ( X8 @ Y0 ) ) )
= $true ) )
& ( $true
= ( X7
@ ^ [Y0: a] : Y0 ) ) )
=> ( $true
= ( X7
@ ^ [Y0: a] : ( X1 @ ( X2 @ Y0 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a,X1: a > a,X2: a > a] :
( ( ! [X3: ( a > a ) > $o] :
( ( ( $true
= ( X3
@ ^ [Y0: a] : Y0 ) )
& ! [X5: a > a] :
( ( ( X3 @ X5 )
= $true )
=> ( ( X3
@ ^ [Y0: a] : ( X0 @ ( X5 @ Y0 ) ) )
= $true ) ) )
=> ( ( X3 @ X2 )
= $true ) )
& ! [X7: ( a > a ) > $o] :
( ( ! [X8: a > a] :
( ( ( X7 @ X8 )
= $true )
=> ( ( X7
@ ^ [Y0: a] : ( X0 @ ( X8 @ Y0 ) ) )
= $true ) )
& ( $true
= ( X7
@ ^ [Y0: a] : Y0 ) ) )
=> ( $true
= ( X7 @ X1 ) ) ) )
=> ! [X11: ( a > a ) > $o] :
( ( ! [X12: a > a] :
( ( ( X11 @ X12 )
= $true )
=> ( ( X11
@ ^ [Y0: a] : ( X0 @ ( X12 @ Y0 ) ) )
= $true ) )
& ( $true
= ( X11
@ ^ [Y0: a] : Y0 ) ) )
=> ( $true
= ( X11
@ ^ [Y0: a] : ( X1 @ ( X2 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a,X1: a > a,X2: a > a] :
( ( ! [X3: ( a > a ) > $o] :
( ( ( X3
@ ^ [X4: a] : X4 )
& ! [X5: a > a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] : ( X0 @ ( X5 @ X6 ) ) ) ) )
=> ( X3 @ X2 ) )
& ! [X7: ( a > a ) > $o] :
( ( ! [X8: a > a] :
( ( X7 @ X8 )
=> ( X7
@ ^ [X9: a] : ( X0 @ ( X8 @ X9 ) ) ) )
& ( X7
@ ^ [X10: a] : X10 ) )
=> ( X7 @ X1 ) ) )
=> ! [X11: ( a > a ) > $o] :
( ( ! [X12: a > a] :
( ( X11 @ X12 )
=> ( X11
@ ^ [X13: a] : ( X0 @ ( X12 @ X13 ) ) ) )
& ( X11
@ ^ [X14: a] : X14 ) )
=> ( X11
@ ^ [X15: a] : ( X1 @ ( X2 @ X15 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a,X1: a > a,X2: a > a] :
( ( ! [X3: ( a > a ) > $o] :
( ( ( X3
@ ^ [X4: a] : X4 )
& ! [X5: a > a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] : ( X0 @ ( X5 @ X6 ) ) ) ) )
=> ( X3 @ X2 ) )
& ! [X3: ( a > a ) > $o] :
( ( ! [X5: a > a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] : ( X0 @ ( X5 @ X6 ) ) ) )
& ( X3
@ ^ [X4: a] : X4 ) )
=> ( X3 @ X1 ) ) )
=> ! [X3: ( a > a ) > $o] :
( ( ! [X5: a > a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] : ( X0 @ ( X5 @ X6 ) ) ) )
& ( X3
@ ^ [X4: a] : X4 ) )
=> ( X3
@ ^ [X6: a] : ( X1 @ ( X2 @ X6 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: a > a,X1: a > a,X2: a > a] :
( ( ! [X3: ( a > a ) > $o] :
( ( ( X3
@ ^ [X4: a] : X4 )
& ! [X5: a > a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] : ( X0 @ ( X5 @ X6 ) ) ) ) )
=> ( X3 @ X2 ) )
& ! [X3: ( a > a ) > $o] :
( ( ! [X5: a > a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] : ( X0 @ ( X5 @ X6 ) ) ) )
& ( X3
@ ^ [X4: a] : X4 ) )
=> ( X3 @ X1 ) ) )
=> ! [X3: ( a > a ) > $o] :
( ( ! [X5: a > a] :
( ( X3 @ X5 )
=> ( X3
@ ^ [X6: a] : ( X0 @ ( X5 @ X6 ) ) ) )
& ( X3
@ ^ [X4: a] : X4 ) )
=> ( X3
@ ^ [X6: a] : ( X1 @ ( X2 @ X6 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.SA41B43JTl/DTF2THF_2015.p',cTHM135_pme) ).
thf(f441,plain,
( ( ( sK3
@ ^ [Y0: a] : ( sK1 @ ( sK2 @ Y0 ) ) )
= $true )
| ( $true
!= ( sK3 @ sK2 ) )
| ~ spl6_4 ),
inference(beta_eta_normalization,[status(thm)],[f440]) ).
thf(f440,plain,
( ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ sK1 ) )
| ( $true
!= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ^ [Y0: a] : Y0 ) )
| ~ spl6_4 ),
inference(trivial_inequality_removal,[status(thm)],[f418]) ).
thf(f418,plain,
( ( $true
!= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ^ [Y0: a] : Y0 ) )
| ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ sK1 ) )
| ( $true != $true )
| ~ spl6_4 ),
inference(superposition,[status(thm)],[f17,f316]) ).
thf(f316,plain,
( ( $true
= ( sK3
@ ^ [Y0: a] :
( sK0
@ ( sK4
@ ^ [Y1: a > a] :
( sK3
@ ^ [Y2: a] : ( Y1 @ ( sK2 @ Y2 ) ) )
@ ( sK2 @ Y0 ) ) ) ) )
| ~ spl6_4 ),
inference(beta_eta_normalization,[status(thm)],[f315]) ).
thf(f315,plain,
( ( $true
= ( sK3
@ ^ [Y0: a] :
( sK0
@ ( ^ [Y1: a] :
( sK4
@ ^ [Y2: a > a] :
( sK3
@ ^ [Y3: a] : ( Y2 @ ( sK2 @ Y3 ) ) )
@ ( sK2 @ Y1 ) )
@ Y0 ) ) ) )
| ~ spl6_4 ),
inference(trivial_inequality_removal,[status(thm)],[f314]) ).
thf(f314,plain,
( ( $true
= ( sK3
@ ^ [Y0: a] :
( sK0
@ ( ^ [Y1: a] :
( sK4
@ ^ [Y2: a > a] :
( sK3
@ ^ [Y3: a] : ( Y2 @ ( sK2 @ Y3 ) ) )
@ ( sK2 @ Y1 ) )
@ Y0 ) ) ) )
| ( $true != $true )
| ~ spl6_4 ),
inference(superposition,[status(thm)],[f19,f312]) ).
thf(f312,plain,
( ( $true
= ( sK3
@ ^ [Y0: a] :
( sK4
@ ^ [Y1: a > a] :
( sK3
@ ^ [Y2: a] : ( Y1 @ ( sK2 @ Y2 ) ) )
@ ( sK2 @ Y0 ) ) ) )
| ~ spl6_4 ),
inference(subsumption_resolution,[status(thm)],[f294,f21]) ).
thf(f294,plain,
( ( ( sK3
@ ^ [Y0: a] : ( sK1 @ ( sK2 @ Y0 ) ) )
= $true )
| ( $true
= ( sK3
@ ^ [Y0: a] :
( sK4
@ ^ [Y1: a > a] :
( sK3
@ ^ [Y2: a] : ( Y1 @ ( sK2 @ Y2 ) ) )
@ ( sK2 @ Y0 ) ) ) )
| ~ spl6_4 ),
inference(beta_eta_normalization,[status(thm)],[f293]) ).
thf(f293,plain,
( ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ( sK4
@ ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) ) ) ) )
| ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ sK1 ) )
| ~ spl6_4 ),
inference(trivial_inequality_removal,[status(thm)],[f272]) ).
thf(f272,plain,
( ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ( sK4
@ ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] :
( sK2
@ ( ^ [Y5: a > a,Y6: a] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ sK1 ) )
| ~ spl6_4 ),
inference(superposition,[status(thm)],[f18,f113]) ).
thf(f18,plain,
! [X5: ( a > a ) > $o] :
( ( $true
!= ( X5
@ ^ [Y0: a] : Y0 ) )
| ( $true
= ( X5 @ ( sK4 @ X5 ) ) )
| ( ( X5 @ sK1 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f19,plain,
! [X4: a > a] :
( ( $true
!= ( sK3 @ X4 ) )
| ( ( sK3
@ ^ [Y0: a] : ( sK0 @ ( X4 @ Y0 ) ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f17,plain,
! [X5: ( a > a ) > $o] :
( ( ( X5
@ ^ [Y0: a] : ( sK0 @ ( sK4 @ X5 @ Y0 ) ) )
!= $true )
| ( $true
!= ( X5
@ ^ [Y0: a] : Y0 ) )
| ( ( X5 @ sK1 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f266,plain,
( spl6_4
| ~ spl6_3 ),
inference(avatar_split_clause,[status(thm)],[f265,f107,f111]) ).
thf(f107,definition,
( spl6_3
<=> ( ( sK3 @ ( sK5 @ sK3 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_3])],[avatar_definition]) ).
thf(f265,plain,
( ( $true
= ( sK3 @ sK2 ) )
| ~ spl6_3 ),
inference(subsumption_resolution,[status(thm)],[f254,f20]) ).
thf(f20,plain,
( $true
= ( sK3
@ ^ [Y0: a] : Y0 ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f254,plain,
( ( $true
!= ( sK3
@ ^ [Y0: a] : Y0 ) )
| ( $true
= ( sK3 @ sK2 ) )
| ~ spl6_3 ),
inference(beta_eta_normalization,[status(thm)],[f253]) ).
thf(f253,plain,
( ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ sK2 ) )
| ( ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ^ [Y0: a] : Y0 )
!= $true )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[status(thm)],[f248]) ).
thf(f248,plain,
( ( ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ^ [Y0: a] : Y0 )
!= $true )
| ( $true != $true )
| ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ sK2 ) )
| ~ spl6_3 ),
inference(superposition,[status(thm)],[f16,f118]) ).
thf(f118,plain,
( ( $true
= ( sK3
@ ^ [Y0: a] : ( sK0 @ ( sK5 @ sK3 @ Y0 ) ) ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[status(thm)],[f116]) ).
thf(f116,plain,
( ( $true
= ( sK3
@ ^ [Y0: a] : ( sK0 @ ( sK5 @ sK3 @ Y0 ) ) ) )
| ( $true != $true )
| ~ spl6_3 ),
inference(superposition,[status(thm)],[f19,f109]) ).
thf(f109,plain,
( ( ( sK3 @ ( sK5 @ sK3 ) )
= $true )
| ~ spl6_3 ),
inference(avatar_component_clause,[status(thm)],[f107]) ).
thf(f16,plain,
! [X7: ( a > a ) > $o] :
( ( ( X7
@ ^ [Y0: a] : ( sK0 @ ( sK5 @ X7 @ Y0 ) ) )
!= $true )
| ( $true
= ( X7 @ sK2 ) )
| ( $true
!= ( X7
@ ^ [Y0: a] : Y0 ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f114,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[status(thm)],[f77,f111,f107]) ).
thf(f77,plain,
( ( ( sK3 @ ( sK5 @ sK3 ) )
= $true )
| ( $true
= ( sK3 @ sK2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f76]) ).
thf(f76,plain,
( ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ sK2 ) )
| ( ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ( sK5
@ ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f58]) ).
thf(f58,plain,
( ( ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ( sK5
@ ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) ) ) )
= $true )
| ( $true
= ( ^ [Y0: a > a] :
( sK3
@ ( ^ [Y1: a > a,Y2: a] :
( Y1
@ ( ^ [Y3: a > a,Y4: a] : Y4
@ Y1
@ Y2 ) )
@ Y0 ) )
@ sK2 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f15,f20]) ).
thf(f15,plain,
! [X7: ( a > a ) > $o] :
( ( $true
!= ( X7
@ ^ [Y0: a] : Y0 ) )
| ( $true
= ( X7 @ ( sK5 @ X7 ) ) )
| ( $true
= ( X7 @ sK2 ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU948^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n012.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 12:37:00 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.39 ---- Original DTF file ---
% 0.16/0.39 thf(spec,logic,$$dhol).
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 % File : SEU948^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.39 % Domain : Set Theory (Functions)
% 0.16/0.39 % Problem : TPS problem THM135
% 0.16/0.39 % Version : Especial.
% 0.16/0.39 % English : The composition of iterates of a function is also an iterate of
% 0.16/0.39 % that function.
% 0.16/0.39
% 0.16/0.39 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.39 % Source : [Bro09]
% 0.16/0.39 % Names : tps_0547 [Bro09]
% 0.16/0.39 % : THM135 [TPS]
% 0.16/0.39 % : tps_1048 [Bro09]
% 0.16/0.39
% 0.16/0.39 % Status : Theorem
% 0.16/0.39 % : Without eta : CounterSatisfiable
% 0.16/0.39 % Rating : 0.42 v9.1.0, 0.38 v9.0.0, 0.42 v8.2.0, 0.36 v8.1.0, 0.50 v7.4.0, 0.33 v7.3.0, 0.50 v7.2.0, 0.38 v7.1.0, 0.29 v7.0.0, 0.38 v6.4.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.50 v5.5.0, 0.60 v5.4.0, 0.75 v5.3.0, 1.00 v5.2.0, 0.75 v4.1.0, 0.67 v4.0.0
% 0.16/0.39 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.16/0.39 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.16/0.39 % Maximal formula atoms : 0 ( 0 avg)
% 0.16/0.39 % Number of connectives : 31 ( 0 ~; 0 |; 4 &; 20 @)
% 0.16/0.39 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.16/0.39 % Maximal formula depth : 15 ( 15 avg)
% 0.16/0.39 % Number of types : 2 ( 1 usr)
% 0.16/0.39 % Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% 0.16/0.39 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.16/0.39 % Number of variables : 16 ( 7 ^; 9 !; 0 ?; 16 :)
% 0.16/0.39 % SPC : TH0_THM_NEQ_NAR
% 0.16/0.39
% 0.16/0.39 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.39 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.39 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.39 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.39 % : Polymorphic definitions expanded.
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 thf(a_type,type,
% 0.16/0.39 a: $tType ).
% 0.16/0.39
% 0.16/0.39 thf(cTHM135_pme,conjecture,
% 0.16/0.39 ! [Xf: a > a,Xg1: a > a,Xg2: a > a] :
% 0.16/0.39 ( ( ! [Xp: ( a > a ) > $o] :
% 0.16/0.39 ( ( ( Xp
% 0.16/0.39 @ ^ [Xu: a] : Xu )
% 0.16/0.39 & ! [Xj: a > a] :
% 0.16/0.39 ( ( Xp @ Xj )
% 0.16/0.39 => ( Xp
% 0.16/0.39 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 0.16/0.39 => ( Xp @ Xg1 ) )
% 0.16/0.39 & ! [Xp: ( a > a ) > $o] :
% 0.16/0.39 ( ( ( Xp
% 0.16/0.39 @ ^ [Xu: a] : Xu )
% 0.16/0.39 & ! [Xj: a > a] :
% 0.16/0.39 ( ( Xp @ Xj )
% 0.16/0.39 => ( Xp
% 0.16/0.39 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 0.16/0.39 => ( Xp @ Xg2 ) ) )
% 0.16/0.39 => ! [Xp: ( a > a ) > $o] :
% 0.16/0.39 ( ( ( Xp
% 0.16/0.39 @ ^ [Xu: a] : Xu )
% 0.16/0.39 & ! [Xj: a > a] :
% 0.16/0.39 ( ( Xp @ Xj )
% 0.16/0.39 => ( Xp
% 0.16/0.39 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 0.16/0.39 => ( Xp
% 0.16/0.39 @ ^ [Xx: a] : ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 ------------------------
% 1.59/1.30 ---- Embedded in THF ---
% 1.59/1.31 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.59/1.31 %%% Generated on Tue Feb 24 12:37:01 EST 2026
% 1.59/1.31 %%% using '$$dhol' embedding, version 1.3.0.
% 1.59/1.31 %%% Logic specification used:
% 1.59/1.31 %%% thf(spec, logic, $$dhol).
% 1.59/1.31
% 1.59/1.31 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.SA41B43JTl/DTF2DTF2015.p
% See solution above
% 1.59/1.31 ------------------------
% 1.59/1.31 ---- Cleaned THF ---
% 1.59/1.31 thf(a_type,type,
% 1.59/1.31 a: $tType ).
% 1.59/1.31
% 1.59/1.31 thf(cTHM135_pme,conjecture,
% 1.59/1.31 ! [Xf: a > a,Xg1: a > a,Xg2: a > a] :
% 1.59/1.31 ( ( ! [Xp: ( a > a ) > $o] :
% 1.59/1.31 ( ( ( Xp
% 1.59/1.31 @ ^ [Xu: a] : Xu )
% 1.59/1.31 & ! [Xj: a > a] :
% 1.59/1.31 ( ( Xp @ Xj )
% 1.59/1.31 => ( Xp
% 1.59/1.31 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 1.59/1.31 => ( Xp @ Xg1 ) )
% 1.59/1.31 & ! [Xp: ( a > a ) > $o] :
% 1.59/1.31 ( ( ( Xp
% 1.59/1.31 @ ^ [Xu: a] : Xu )
% 1.59/1.31 & ! [Xj: a > a] :
% 1.59/1.31 ( ( Xp @ Xj )
% 1.59/1.31 => ( Xp
% 1.59/1.31 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 1.59/1.31 => ( Xp @ Xg2 ) ) )
% 1.59/1.31 => ! [Xp: ( a > a ) > $o] :
% 1.59/1.31 ( ( ( Xp
% 1.59/1.31 @ ^ [Xu: a] : Xu )
% 1.59/1.31 & ! [Xj: a > a] :
% 1.59/1.31 ( ( Xp @ Xj )
% 1.59/1.31 => ( Xp
% 1.59/1.31 @ ^ [Xx: a] : ( Xf @ ( Xj @ Xx ) ) ) ) )
% 1.59/1.31 => ( Xp
% 1.59/1.31 @ ^ [Xx: a] : ( Xg1 @ ( Xg2 @ Xx ) ) ) ) ) ).
% 1.59/1.32 ------------------------
% 1.59/1.33 % (2114)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_2015 for (2999ds/4Mi)
% 1.59/1.33 % (2117)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_2015 for (2999ds/2Mi)
% 1.59/1.33 % (2115)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_2015 for (2999ds/27Mi)
% 1.59/1.33 % (2116)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/2Mi)
% 1.59/1.33 % (2113)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/183Mi)
% 1.59/1.33 % (2118)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_2015 for (2999ds/275Mi)
% 1.59/1.33 % (2119)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/18Mi)
% 1.59/1.34 % (2116)Instruction limit reached!
% 1.59/1.34 % (2116)------------------------------
% 1.59/1.34 % (2116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34 % (2116)Termination reason: Unknown
% 1.59/1.34 % (2116)Termination phase: Saturation
% 1.59/1.34
% 1.59/1.34 % (2116)Memory used [KB]: 1023
% 1.59/1.34 % (2116)Time elapsed: 0.003 s
% 1.59/1.34 % (2116)Instructions burned: 2 (million)
% 1.59/1.34 % (2116)------------------------------
% 1.59/1.34 % (2116)------------------------------
% 1.59/1.34 % (2117)Instruction limit reached!
% 1.59/1.34 % (2117)------------------------------
% 1.59/1.34 % (2117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34 % (2117)Termination reason: Unknown
% 1.59/1.34 % (2117)Termination phase: Saturation
% 1.59/1.34
% 1.59/1.34 % (2117)Memory used [KB]: 895
% 1.59/1.34 % (2117)Time elapsed: 0.003 s
% 1.59/1.34 % (2117)Instructions burned: 2 (million)
% 1.59/1.34 % (2117)------------------------------
% 1.59/1.34 % (2117)------------------------------
% 1.59/1.34 % (2114)Instruction limit reached!
% 1.59/1.34 % (2114)------------------------------
% 1.59/1.34 % (2114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34 % (2114)Termination reason: Unknown
% 1.59/1.34 % (2114)Termination phase: Saturation
% 1.59/1.34
% 1.59/1.34 % (2114)Memory used [KB]: 5500
% 1.59/1.34 % (2114)Time elapsed: 0.005 s
% 1.59/1.34 % (2114)Instructions burned: 5 (million)
% 1.59/1.34 % (2114)------------------------------
% 1.59/1.34 % (2114)------------------------------
% 1.59/1.35 % (2119)Instruction limit reached!
% 1.59/1.35 % (2119)------------------------------
% 1.59/1.35 % (2119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (2119)Termination reason: Unknown
% 1.59/1.35 % (2119)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (2119)Memory used [KB]: 5628
% 1.59/1.35 % (2119)Time elapsed: 0.012 s
% 1.59/1.35 % (2119)Instructions burned: 19 (million)
% 1.59/1.35 % (2119)------------------------------
% 1.59/1.35 % (2119)------------------------------
% 1.59/1.35 % (2118)Refutation not found, incomplete strategy
% 1.59/1.35 % (2118)------------------------------
% 1.59/1.35 % (2118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (2118)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.35
% 1.59/1.35
% 1.59/1.35 % (2118)Memory used [KB]: 5628
% 1.59/1.35 % (2118)Time elapsed: 0.016 s
% 1.59/1.35 % (2118)Instructions burned: 26 (million)
% 1.59/1.35 % (2118)------------------------------
% 1.59/1.35 % (2118)------------------------------
% 1.59/1.35 % (2115)Instruction limit reached!
% 1.59/1.35 % (2115)------------------------------
% 1.59/1.35 % (2115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (2115)Termination reason: Unknown
% 1.59/1.35 % (2115)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (2115)Memory used [KB]: 5628
% 1.59/1.35 % (2115)Time elapsed: 0.017 s
% 1.59/1.35 % (2115)Instructions burned: 29 (million)
% 1.59/1.35 % (2115)------------------------------
% 1.59/1.35 % (2115)------------------------------
% 1.59/1.35 % (2120)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/3Mi)
% 1.59/1.35 % (2121)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_2015 for (2999ds/37Mi)
% 1.59/1.35 % (2122)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_2015 for (2999ds/15Mi)
% 1.59/1.35 % (2120)Instruction limit reached!
% 1.59/1.35 % (2120)------------------------------
% 1.59/1.35 % (2120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (2120)Termination reason: Unknown
% 1.59/1.35 % (2120)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (2120)Memory used [KB]: 5500
% 1.59/1.35 % (2120)Time elapsed: 0.004 s
% 1.59/1.35 % (2120)Instructions burned: 4 (million)
% 1.59/1.35 % (2120)------------------------------
% 1.59/1.35 % (2120)------------------------------
% 1.59/1.36 % (2123)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_2015 for (2999ds/3Mi)
% 1.59/1.36 % (2122)Instruction limit reached!
% 1.59/1.36 % (2122)------------------------------
% 1.59/1.36 % (2122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (2122)Termination reason: Unknown
% 1.59/1.36 % (2122)Termination phase: Saturation
% 1.59/1.36
% 1.59/1.36 % (2122)Memory used [KB]: 5628
% 1.59/1.36 % (2122)Time elapsed: 0.010 s
% 1.59/1.36 % (2122)Instructions burned: 15 (million)
% 1.59/1.36 % (2122)------------------------------
% 1.59/1.36 % (2122)------------------------------
% 1.59/1.36 % (2123)Instruction limit reached!
% 1.59/1.36 % (2123)------------------------------
% 1.59/1.36 % (2123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (2123)Termination reason: Unknown
% 1.59/1.36 % (2123)Termination phase: Saturation
% 1.59/1.36
% 1.59/1.36 % (2123)Memory used [KB]: 5500
% 1.59/1.36 % (2123)Time elapsed: 0.003 s
% 1.59/1.36 % (2123)Instructions burned: 3 (million)
% 1.59/1.36 % (2123)------------------------------
% 1.59/1.36 % (2123)------------------------------
% 1.59/1.37 % (2124)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_2015 for (2999ds/1041Mi)
% 1.59/1.37 % (2125)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/7Mi)
% 1.59/1.37 % (2125)Instruction limit reached!
% 1.59/1.37 % (2125)------------------------------
% 1.59/1.37 % (2125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (2125)Termination reason: Unknown
% 1.59/1.37 % (2125)Termination phase: Saturation
% 1.59/1.37
% 1.59/1.37 % (2125)Memory used [KB]: 1023
% 1.59/1.37 % (2125)Time elapsed: 0.006 s
% 1.59/1.37 % (2125)Instructions burned: 8 (million)
% 1.59/1.37 % (2125)------------------------------
% 1.59/1.37 % (2125)------------------------------
% 1.59/1.37 % (2121)Instruction limit reached!
% 1.59/1.37 % (2121)------------------------------
% 1.59/1.37 % (2121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (2121)Termination reason: Unknown
% 1.59/1.37 % (2126)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/16Mi)
% 1.59/1.37 % (2121)Termination phase: Saturation
% 1.59/1.37
% 1.59/1.37 % (2121)Memory used [KB]: 5884
% 1.59/1.37 % (2121)Time elapsed: 0.020 s
% 1.59/1.37 % (2121)Instructions burned: 38 (million)
% 1.59/1.37 % (2121)------------------------------
% 1.59/1.37 % (2121)------------------------------
% 1.59/1.38 % (2127)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_2015 for (2999ds/3Mi)
% 1.59/1.38 % (2128)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_2015 for (2999ds/3Mi)
% 1.59/1.38 % (2127)Instruction limit reached!
% 1.59/1.38 % (2127)------------------------------
% 1.59/1.38 % (2127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.38 % (2127)Termination reason: Unknown
% 1.59/1.38 % (2127)Termination phase: Twee Goal Transformation
% 1.59/1.38
% 1.59/1.38 % (2127)Memory used [KB]: 1023
% 1.59/1.38 % (2127)Time elapsed: 0.003 s
% 1.59/1.38 % (2127)Instructions burned: 3 (million)
% 1.59/1.38 % (2127)------------------------------
% 1.59/1.38 % (2127)------------------------------
% 1.59/1.38 % (2126)Instruction limit reached!
% 1.59/1.38 % (2126)------------------------------
% 1.59/1.38 % (2126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.38 % (2126)Termination reason: Unknown
% 1.59/1.38 % (2126)Termination phase: Saturation
% 1.59/1.38
% 1.59/1.38 % (2126)Memory used [KB]: 5628
% 1.59/1.38 % (2128)Instruction limit reached!
% 1.59/1.38 % (2128)------------------------------
% 1.59/1.38 % (2128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.38 % (2128)Termination reason: Unknown
% 1.59/1.38 % (2128)Termination phase: Saturation
% 1.59/1.38
% 1.59/1.38 % (2128)Memory used [KB]: 1023
% 1.59/1.38 % (2128)Time elapsed: 0.003 s
% 1.59/1.38 % (2128)Instructions burned: 3 (million)
% 1.59/1.38 % (2128)------------------------------
% 1.59/1.38 % (2128)------------------------------
% 1.59/1.38 % (2126)Time elapsed: 0.011 s
% 1.59/1.38 % (2126)Instructions burned: 17 (million)
% 1.59/1.38 % (2126)------------------------------
% 1.59/1.38 % (2126)------------------------------
% 1.59/1.39 % (2129)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/7Mi)
% 1.59/1.39 % (2130)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/3Mi)
% 1.59/1.39 % (2130)Instruction limit reached!
% 1.59/1.39 % (2130)------------------------------
% 1.59/1.39 % (2130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.39 % (2130)Termination reason: Unknown
% 1.59/1.39 % (2130)Termination phase: Saturation
% 1.59/1.39
% 1.59/1.39 % (2130)Memory used [KB]: 5500
% 1.59/1.39 % (2130)Time elapsed: 0.003 s
% 1.59/1.39 % (2130)Instructions burned: 3 (million)
% 1.59/1.39 % (2130)------------------------------
% 1.59/1.39 % (2130)------------------------------
% 1.59/1.39 % (2129)Instruction limit reached!
% 1.59/1.39 % (2129)------------------------------
% 1.59/1.39 % (2129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.39 % (2129)Termination reason: Unknown
% 1.59/1.39 % (2129)Termination phase: Saturation
% 1.59/1.39
% 1.59/1.39 % (2129)Memory used [KB]: 5500
% 1.59/1.39 % (2129)Time elapsed: 0.006 s
% 1.59/1.39 % (2129)Instructions burned: 8 (million)
% 1.59/1.39 % (2129)------------------------------
% 1.59/1.39 % (2129)------------------------------
% 1.59/1.40 % (2131)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/4Mi)
% 1.59/1.40 % (2132)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/18Mi)
% 1.61/1.40 % (2133)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/710Mi)
% 1.61/1.40 % (2131)Instruction limit reached!
% 1.61/1.40 % (2131)------------------------------
% 1.61/1.40 % (2131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.40 % (2131)Termination reason: Unknown
% 1.61/1.40 % (2131)Termination phase: Saturation
% 1.61/1.40
% 1.61/1.40 % (2131)Memory used [KB]: 5500
% 1.61/1.40 % (2131)Time elapsed: 0.004 s
% 1.61/1.40 % (2131)Instructions burned: 4 (million)
% 1.61/1.40 % (2131)------------------------------
% 1.61/1.40 % (2131)------------------------------
% 1.61/1.40 % (2132)Refutation not found, incomplete strategy
% 1.61/1.40 % (2132)------------------------------
% 1.61/1.40 % (2132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.40 % (2132)Termination reason: Refutation not found, incomplete strategy
% 1.61/1.40
% 1.61/1.40
% 1.61/1.40 % (2132)Memory used [KB]: 5500
% 1.61/1.40 % (2132)Time elapsed: 0.005 s
% 1.61/1.40 % (2132)Instructions burned: 6 (million)
% 1.61/1.40 % (2132)------------------------------
% 1.61/1.40 % (2132)------------------------------
% 1.61/1.40 % (2134)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/6Mi)
% 1.61/1.41 % (2135)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_2015 for (2999ds/902Mi)
% 1.61/1.41 % (2134)Instruction limit reached!
% 1.61/1.41 % (2134)------------------------------
% 1.61/1.41 % (2134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.41 % (2134)Termination reason: Unknown
% 1.61/1.41 % (2134)Termination phase: Saturation
% 1.61/1.41
% 1.61/1.41 % (2134)Memory used [KB]: 5500
% 1.61/1.41 % (2134)Time elapsed: 0.005 s
% 1.61/1.41 % (2134)Instructions burned: 6 (million)
% 1.61/1.41 % (2134)------------------------------
% 1.61/1.41 % (2134)------------------------------
% 1.61/1.41 % (2136)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_2015 for (2999ds/21Mi)
% 1.61/1.42 % (2137)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/5Mi)
% 1.61/1.42 % (2137)Instruction limit reached!
% 1.61/1.42 % (2137)------------------------------
% 1.61/1.42 % (2137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.42 % (2137)Termination reason: Unknown
% 1.61/1.42 % (2137)Termination phase: Saturation
% 1.61/1.42
% 1.61/1.42 % (2137)Memory used [KB]: 5500
% 1.61/1.42 % (2137)Time elapsed: 0.004 s
% 1.61/1.42 % (2137)Instructions burned: 5 (million)
% 1.61/1.42 % (2137)------------------------------
% 1.61/1.42 % (2137)------------------------------
% 1.61/1.42 % (2138)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_2015 for (2999ds/6Mi)
% 1.61/1.43 % (2136)Instruction limit reached!
% 1.61/1.43 % (2136)------------------------------
% 1.61/1.43 % (2136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.43 % (2136)Termination reason: Unknown
% 1.61/1.43 % (2136)Termination phase: Saturation
% 1.61/1.43
% 1.61/1.43 % (2136)Memory used [KB]: 5628
% 1.61/1.43 % (2136)Time elapsed: 0.013 s
% 1.61/1.43 % (2136)Instructions burned: 21 (million)
% 1.61/1.43 % (2136)------------------------------
% 1.61/1.43 % (2136)------------------------------
% 1.61/1.43 % (2138)Instruction limit reached!
% 1.61/1.43 % (2138)------------------------------
% 1.61/1.43 % (2138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.43 % (2138)Termination reason: Unknown
% 1.61/1.43 % (2138)Termination phase: Saturation
% 1.61/1.43
% 1.61/1.43 % (2138)Memory used [KB]: 5500
% 1.61/1.43 % (2138)Time elapsed: 0.005 s
% 1.61/1.43 % (2138)Instructions burned: 8 (million)
% 1.61/1.43 % (2138)------------------------------
% 1.61/1.43 % (2138)------------------------------
% 1.61/1.43 % (2113)Instruction limit reached!
% 1.61/1.43 % (2113)------------------------------
% 1.61/1.43 % (2113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.43 % (2113)Termination reason: Unknown
% 1.61/1.43 % (2113)Termination phase: Saturation
% 1.61/1.43
% 1.61/1.43 % (2113)Memory used [KB]: 6396
% 1.61/1.43 % (2113)Time elapsed: 0.096 s
% 1.61/1.43 % (2113)Instructions burned: 184 (million)
% 1.61/1.43 % (2113)------------------------------
% 1.61/1.43 % (2113)------------------------------
% 1.61/1.43 % (2139)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/377Mi)
% 1.61/1.44 % (2140)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_2015 for (2999ds/779Mi)
% 1.61/1.44 % (2141)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_2015 for (2999ds/19Mi)
% 1.61/1.44 % (2142)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_2015 for (2999ds/879Mi)
% 1.61/1.45 % (2141)Instruction limit reached!
% 1.61/1.45 % (2141)------------------------------
% 1.61/1.45 % (2141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.45 % (2141)Termination reason: Unknown
% 1.61/1.45 % (2141)Termination phase: Saturation
% 1.61/1.45
% 1.61/1.45 % (2141)Memory used [KB]: 5628
% 1.61/1.45 % (2141)Time elapsed: 0.012 s
% 1.61/1.45 % (2141)Instructions burned: 20 (million)
% 1.61/1.45 % (2141)------------------------------
% 1.61/1.45 % (2141)------------------------------
% 1.61/1.47 % (2143)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_2015 for (2998ds/17Mi)
% 1.61/1.48 % (2143)Instruction limit reached!
% 1.61/1.48 % (2143)------------------------------
% 1.61/1.48 % (2143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.48 % (2143)Termination reason: Unknown
% 1.61/1.48 % (2143)Termination phase: Saturation
% 1.61/1.48
% 1.61/1.48 % (2143)Memory used [KB]: 5628
% 1.61/1.48 % (2143)Time elapsed: 0.011 s
% 1.61/1.48 % (2143)Instructions burned: 17 (million)
% 1.61/1.48 % (2143)------------------------------
% 1.61/1.48 % (2143)------------------------------
% 1.61/1.50 % (2144)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_2015 for (2998ds/3Mi)
% 1.61/1.50 % (2144)Instruction limit reached!
% 1.61/1.50 % (2144)------------------------------
% 1.61/1.50 % (2144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.50 % (2144)Termination reason: Unknown
% 1.61/1.50 % (2144)Termination phase: Property scanning
% 1.61/1.50
% 1.61/1.50 % (2144)Memory used [KB]: 1023
% 1.61/1.50 % (2144)Time elapsed: 0.003 s
% 1.61/1.50 % (2144)Instructions burned: 3 (million)
% 1.61/1.50 % (2144)------------------------------
% 1.61/1.50 % (2144)------------------------------
% 1.61/1.51 % (2145)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_2015 for (2998ds/30Mi)
% 1.61/1.53 % (2145)Instruction limit reached!
% 1.61/1.53 % (2145)------------------------------
% 1.61/1.53 % (2145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.53 % (2145)Termination reason: Unknown
% 1.61/1.53 % (2145)Termination phase: Saturation
% 1.61/1.53
% 1.61/1.53 % (2145)Memory used [KB]: 5628
% 1.61/1.53 % (2145)Time elapsed: 0.018 s
% 1.61/1.53 % (2145)Instructions burned: 30 (million)
% 1.61/1.53 % (2145)------------------------------
% 1.61/1.53 % (2145)------------------------------
% 1.61/1.55 % (2146)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_2015 for (2998ds/127Mi)
% 1.61/1.61 % (2146)Instruction limit reached!
% 1.61/1.61 % (2146)------------------------------
% 1.61/1.61 % (2146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.61 % (2146)Termination reason: Unknown
% 1.61/1.61 % (2146)Termination phase: Saturation
% 1.61/1.61
% 1.61/1.61 % (2146)Memory used [KB]: 6012
% 1.61/1.61 % (2146)Time elapsed: 0.088 s
% 1.61/1.61 % (2146)Instructions burned: 128 (million)
% 1.61/1.61 % (2146)------------------------------
% 1.61/1.61 % (2146)------------------------------
% 1.61/1.61 % (2139)Instruction limit reached!
% 1.61/1.61 % (2139)------------------------------
% 1.61/1.61 % (2139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.61 % (2139)Termination reason: Unknown
% 1.61/1.61 % (2139)Termination phase: Saturation
% 1.61/1.61
% 1.61/1.61 % (2139)Memory used [KB]: 6268
% 1.61/1.61 % (2139)Time elapsed: 0.179 s
% 1.61/1.61 % (2139)Instructions burned: 378 (million)
% 1.61/1.61 % (2139)------------------------------
% 1.61/1.61 % (2139)------------------------------
% 1.61/1.63 % (2147)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_2015 for (2997ds/100Mi)
% 1.61/1.63 % (2148)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_2015 for (2997ds/3Mi)
% 1.61/1.63 % (2148)Instruction limit reached!
% 1.61/1.63 % (2148)------------------------------
% 1.61/1.63 % (2148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.63 % (2148)Termination reason: Unknown
% 1.61/1.63 % (2148)Termination phase: Saturation
% 1.61/1.63
% 1.61/1.63 % (2148)Memory used [KB]: 5500
% 1.61/1.63 % (2148)Time elapsed: 0.003 s
% 1.61/1.63 % (2148)Instructions burned: 3 (million)
% 1.61/1.63 % (2148)------------------------------
% 1.61/1.63 % (2148)------------------------------
% 1.61/1.63 % (2147)Refutation not found, incomplete strategy
% 1.61/1.63 % (2147)------------------------------
% 1.61/1.63 % (2147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.63 % (2147)Termination reason: Refutation not found, incomplete strategy
% 1.61/1.63
% 1.61/1.63
% 1.61/1.63 % (2147)Memory used [KB]: 5500
% 1.61/1.63 % (2147)Time elapsed: 0.006 s
% 1.61/1.63 % (2147)Instructions burned: 5 (million)
% 1.61/1.63 % (2147)------------------------------
% 1.61/1.63 % (2147)------------------------------
% 1.61/1.65 % (2149)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_2015 for (2996ds/20Mi)
% 1.61/1.65 % (2150)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_2015 for (2996ds/86Mi)
% 1.61/1.66 % (2149)Instruction limit reached!
% 1.61/1.66 % (2149)------------------------------
% 1.61/1.66 % (2149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.66 % (2149)Termination reason: Unknown
% 1.61/1.66 % (2149)Termination phase: Saturation
% 1.61/1.66
% 1.61/1.66 % (2149)Memory used [KB]: 5628
% 1.61/1.66 % (2149)Time elapsed: 0.013 s
% 1.61/1.66 % (2149)Instructions burned: 20 (million)
% 1.61/1.66 % (2149)------------------------------
% 1.61/1.66 % (2149)------------------------------
% 1.61/1.67 % (2151)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_2015 for (2996ds/107Mi)
% 1.61/1.69 % (2150)Instruction limit reached!
% 1.61/1.69 % (2150)------------------------------
% 1.61/1.69 % (2150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.69 % (2150)Termination reason: Unknown
% 1.61/1.69 % (2150)Termination phase: Saturation
% 1.61/1.69
% 1.61/1.69 % (2150)Memory used [KB]: 5884
% 1.61/1.69 % (2150)Time elapsed: 0.044 s
% 1.61/1.69 % (2150)Instructions burned: 87 (million)
% 1.61/1.69 % (2150)------------------------------
% 1.61/1.69 % (2150)------------------------------
% 1.61/1.71 % (2152)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_2015 for (2996ds/39Mi)
% 1.61/1.72 % (2151)Instruction limit reached!
% 1.61/1.72 % (2151)------------------------------
% 1.61/1.72 % (2151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.72 % (2151)Termination reason: Unknown
% 1.61/1.72 % (2151)Termination phase: Saturation
% 1.61/1.72
% 1.61/1.72 % (2151)Memory used [KB]: 5628
% 1.61/1.72 % (2151)Time elapsed: 0.052 s
% 1.61/1.72 % (2151)Instructions burned: 109 (million)
% 1.61/1.72 % (2151)------------------------------
% 1.61/1.72 % (2151)------------------------------
% 1.61/1.73 % (2152)Instruction limit reached!
% 1.61/1.73 % (2152)------------------------------
% 1.61/1.73 % (2152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.73 % (2152)Termination reason: Unknown
% 1.61/1.73 % (2152)Termination phase: Saturation
% 1.61/1.73
% 1.61/1.73 % (2152)Memory used [KB]: 5628
% 1.61/1.73 % (2152)Time elapsed: 0.022 s
% 1.61/1.73 % (2152)Instructions burned: 40 (million)
% 1.61/1.73 % (2152)------------------------------
% 1.61/1.73 % (2152)------------------------------
% 1.61/1.74 % (2153)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_2015 for (2995ds/448Mi)
% 1.61/1.74 % (2154)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_2015 for (2995ds/46Mi)
% 1.61/1.75 % (2133)Instruction limit reached!
% 1.61/1.75 % (2133)------------------------------
% 1.61/1.75 % (2133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.75 % (2133)Termination reason: Unknown
% 1.61/1.75 % (2133)Termination phase: Saturation
% 1.61/1.75
% 1.61/1.75 % (2133)Memory used [KB]: 6908
% 1.61/1.75 % (2133)Time elapsed: 0.352 s
% 1.61/1.75 % (2133)Instructions burned: 711 (million)
% 1.61/1.75 % (2133)------------------------------
% 1.61/1.75 % (2133)------------------------------
% 1.61/1.76 % (2124)Instruction limit reached!
% 1.61/1.76 % (2124)------------------------------
% 1.61/1.76 % (2124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.76 % (2124)Termination reason: Unknown
% 1.61/1.76 % (2124)Termination phase: Saturation
% 1.61/1.76
% 1.61/1.76 % (2124)Memory used [KB]: 6140
% 1.61/1.76 % (2124)Time elapsed: 0.398 s
% 1.61/1.76 % (2124)Instructions burned: 1043 (million)
% 1.61/1.76 % (2124)------------------------------
% 1.61/1.76 % (2124)------------------------------
% 1.61/1.76 % (2155)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_2015 for (2995ds/98Mi)
% 1.61/1.77 % (2154)Instruction limit reached!
% 1.61/1.77 % (2154)------------------------------
% 1.61/1.77 % (2154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.77 % (2154)Termination reason: Unknown
% 1.61/1.77 % (2154)Termination phase: Saturation
% 1.61/1.77
% 1.61/1.77 % (2154)Memory used [KB]: 5756
% 1.61/1.77 % (2154)Time elapsed: 0.027 s
% 1.61/1.77 % (2154)Instructions burned: 46 (million)
% 1.61/1.77 % (2154)------------------------------
% 1.61/1.77 % (2154)------------------------------
% 1.61/1.77 % (2155)Refutation not found, incomplete strategy
% 1.61/1.77 % (2155)------------------------------
% 1.61/1.77 % (2155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.77 % (2155)Termination reason: Refutation not found, incomplete strategy
% 1.61/1.77
% 1.61/1.77
% 1.61/1.77 % (2155)Memory used [KB]: 1023
% 1.61/1.77 % (2155)Time elapsed: 0.011 s
% 1.61/1.77 % (2155)Instructions burned: 17 (million)
% 1.61/1.77 % (2155)------------------------------
% 1.61/1.77 % (2155)------------------------------
% 1.61/1.78 % (2156)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_2015 for (2995ds/507Mi)
% 1.61/1.78 % (2142)Instruction limit reached!
% 1.61/1.78 % (2142)------------------------------
% 1.61/1.78 % (2142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.78 % (2142)Termination reason: Unknown
% 1.61/1.78 % (2142)Termination phase: Saturation
% 1.61/1.78
% 1.61/1.78 % (2142)Memory used [KB]: 6140
% 1.61/1.78 % (2142)Time elapsed: 0.341 s
% 1.61/1.78 % (2142)Instructions burned: 879 (million)
% 1.61/1.78 % (2142)------------------------------
% 1.61/1.78 % (2142)------------------------------
% 1.61/1.79 % (2157)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_2015 for (2995ds/149Mi)
% 1.61/1.79 % (2158)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_2015 for (2995ds/39Mi)
% 1.61/1.80 % (2140)Instruction limit reached!
% 1.61/1.80 % (2140)------------------------------
% 1.61/1.80 % (2140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.80 % (2140)Termination reason: Unknown
% 1.61/1.80 % (2140)Termination phase: Saturation
% 1.61/1.80
% 1.61/1.80 % (2140)Memory used [KB]: 6524
% 1.61/1.80 % (2140)Time elapsed: 0.359 s
% 1.61/1.80 % (2140)Instructions burned: 779 (million)
% 1.61/1.80 % (2140)------------------------------
% 1.61/1.80 % (2140)------------------------------
% 1.61/1.80 % (2159)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_2015 for (2995ds/6Mi)
% 1.61/1.80 % (2159)Instruction limit reached!
% 1.61/1.80 % (2159)------------------------------
% 1.61/1.80 % (2159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.80 % (2159)Termination reason: Unknown
% 1.61/1.80 % (2159)Termination phase: Saturation
% 1.61/1.80
% 1.61/1.80 % (2159)Memory used [KB]: 9978
% 1.61/1.80 % (2159)Time elapsed: 0.005 s
% 1.61/1.80 % (2159)Instructions burned: 6 (million)
% 1.61/1.80 % (2159)------------------------------
% 1.61/1.80 % (2159)------------------------------
% 1.61/1.81 % (2158)Instruction limit reached!
% 1.61/1.81 % (2158)------------------------------
% 1.61/1.81 % (2158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.81 % (2158)Termination reason: Unknown
% 1.61/1.81 % (2158)Termination phase: Saturation
% 1.61/1.81
% 1.61/1.81 % (2158)Memory used [KB]: 5628
% 1.61/1.81 % (2158)Time elapsed: 0.023 s
% 1.61/1.81 % (2158)Instructions burned: 40 (million)
% 1.61/1.81 % (2158)------------------------------
% 1.61/1.81 % (2158)------------------------------
% 1.61/1.82 % (2160)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_2015 for (2995ds/1087Mi)
% 1.61/1.82 % (2161)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_2015 for (2995ds/47Mi)
% 1.61/1.83 % (2162)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_2015 for (2995ds/44Mi)
% 1.61/1.83 % (2135)Instruction limit reached!
% 1.61/1.83 % (2135)------------------------------
% 1.61/1.83 % (2135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.83 % (2135)Termination reason: Unknown
% 1.61/1.83 % (2135)Termination phase: Saturation
% 1.61/1.83
% 1.61/1.83 % (2135)Memory used [KB]: 6908
% 1.61/1.83 % (2135)Time elapsed: 0.427 s
% 1.61/1.83 % (2135)Instructions burned: 902 (million)
% 1.61/1.83 % (2135)------------------------------
% 1.61/1.83 % (2135)------------------------------
% 1.61/1.84 % (2160)Refutation not found, incomplete strategy
% 1.61/1.84 % (2160)------------------------------
% 1.61/1.84 % (2160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.84 % (2160)Termination reason: Refutation not found, incomplete strategy
% 1.61/1.84
% 1.61/1.84
% 1.61/1.84 % (2160)Memory used [KB]: 5756
% 1.61/1.84 % (2160)Time elapsed: 0.027 s
% 1.61/1.84 % (2160)Instructions burned: 46 (million)
% 1.61/1.84 % (2160)------------------------------
% 1.61/1.84 % (2160)------------------------------
% 1.61/1.84 % (2161)Instruction limit reached!
% 1.61/1.84 % (2161)------------------------------
% 1.61/1.84 % (2161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.84 % (2161)Termination reason: Unknown
% 1.61/1.84 % (2161)Termination phase: Saturation
% 1.61/1.84
% 1.61/1.84 % (2161)Memory used [KB]: 5628
% 1.61/1.84 % (2161)Time elapsed: 0.026 s
% 1.61/1.84 % (2161)Instructions burned: 48 (million)
% 1.61/1.84 % (2161)------------------------------
% 1.61/1.84 % (2161)------------------------------
% 1.61/1.85 % (2163)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_2015 for (2994ds/432Mi)
% 1.61/1.85 % (2162)Instruction limit reached!
% 1.61/1.85 % (2162)------------------------------
% 1.61/1.85 % (2162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.85 % (2162)Termination reason: Unknown
% 1.61/1.85 % (2162)Termination phase: Saturation
% 1.61/1.85
% 1.61/1.85 % (2162)Memory used [KB]: 1151
% 1.61/1.85 % (2162)Time elapsed: 0.024 s
% 1.61/1.85 % (2162)Instructions burned: 45 (million)
% 1.61/1.85 % (2162)------------------------------
% 1.61/1.85 % (2162)------------------------------
% 1.61/1.86 % (2164)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_2015 for (2994ds/62Mi)
% 1.61/1.86 % (2157)Instruction limit reached!
% 1.61/1.86 % (2157)------------------------------
% 1.61/1.86 % (2157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.86 % (2157)Termination reason: Unknown
% 1.61/1.86 % (2157)Termination phase: Saturation
% 1.61/1.86
% 1.61/1.86 % (2157)Memory used [KB]: 6012
% 1.61/1.86 % (2157)Time elapsed: 0.076 s
% 1.61/1.86 % (2157)Instructions burned: 149 (million)
% 1.61/1.86 % (2157)------------------------------
% 1.61/1.86 % (2157)------------------------------
% 1.61/1.86 % (2165)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_2015 for (2994ds/31Mi)
% 1.61/1.87 % (2166)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_2015 for (2994ds/96Mi)
% 1.61/1.88 % (2167)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_2015 for (2994ds/453Mi)
% 1.61/1.88 % (2165)Instruction limit reached!
% 1.61/1.88 % (2165)------------------------------
% 1.61/1.88 % (2165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.88 % (2165)Termination reason: Unknown
% 1.61/1.88 % (2165)Termination phase: Saturation
% 1.61/1.88
% 1.61/1.88 % (2165)Memory used [KB]: 5628
% 1.61/1.88 % (2165)Time elapsed: 0.018 s
% 1.61/1.88 % (2165)Instructions burned: 32 (million)
% 1.61/1.88 % (2165)------------------------------
% 1.61/1.88 % (2165)------------------------------
% 1.61/1.89 % (2167)Refutation not found, incomplete strategy
% 1.61/1.89 % (2167)------------------------------
% 1.61/1.89 % (2167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.89 % (2167)Termination reason: Refutation not found, incomplete strategy
% 1.61/1.89
% 1.61/1.89
% 1.61/1.89 % (2167)Memory used [KB]: 5628
% 1.61/1.89 % (2167)Time elapsed: 0.011 s
% 1.61/1.89 % (2167)Instructions burned: 18 (million)
% 1.61/1.89 % (2167)------------------------------
% 1.61/1.89 % (2167)------------------------------
% 1.61/1.89 % (2164)Instruction limit reached!
% 1.61/1.89 % (2164)------------------------------
% 1.61/1.89 % (2164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.89 % (2164)Termination reason: Unknown
% 1.61/1.89 % (2164)Termination phase: Saturation
% 1.61/1.89
% 1.61/1.89 % (2164)Memory used [KB]: 5756
% 1.61/1.89 % (2164)Time elapsed: 0.032 s
% 1.61/1.89 % (2164)Instructions burned: 63 (million)
% 1.61/1.89 % (2164)------------------------------
% 1.61/1.89 % (2164)------------------------------
% 1.61/1.89 % (2168)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_2015 for (2994ds/71Mi)
% 1.61/1.90 % (2169)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_2015 for (2994ds/83Mi)
% 1.61/1.91 % (2170)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_2015 for (2994ds/11Mi)
% 1.61/1.91 % (2170)Instruction limit reached!
% 1.61/1.91 % (2170)------------------------------
% 1.61/1.91 % (2170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.91 % (2170)Termination reason: Unknown
% 1.61/1.91 % (2170)Termination phase: Saturation
% 1.61/1.91
% 1.61/1.91 % (2170)Memory used [KB]: 5500
% 1.61/1.91 % (2170)Time elapsed: 0.007 s
% 1.61/1.91 % (2170)Instructions burned: 11 (million)
% 1.61/1.91 % (2170)------------------------------
% 1.61/1.91 % (2170)------------------------------
% 1.61/1.92 % (2166)Instruction limit reached!
% 1.61/1.92 % (2166)------------------------------
% 1.61/1.92 % (2166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.92 % (2166)Termination reason: Unknown
% 1.61/1.92 % (2166)Termination phase: Saturation
% 1.61/1.92
% 1.61/1.92 % (2166)Memory used [KB]: 5884
% 1.61/1.92 % (2166)Time elapsed: 0.051 s
% 1.61/1.92 % (2166)Instructions burned: 96 (million)
% 1.61/1.92 % (2166)------------------------------
% 1.61/1.92 % (2166)------------------------------
% 1.61/1.93 % (2171)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_2015 for (2994ds/41Mi)
% 1.61/1.93 % (2168)Instruction limit reached!
% 1.61/1.93 % (2168)------------------------------
% 1.61/1.93 % (2168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.93 % (2168)Termination reason: Unknown
% 1.61/1.93 % (2168)Termination phase: Saturation
% 1.61/1.93
% 1.61/1.93 % (2168)Memory used [KB]: 5756
% 1.61/1.93 % (2168)Time elapsed: 0.038 s
% 1.61/1.93 % (2168)Instructions burned: 72 (million)
% 1.61/1.93 % (2168)------------------------------
% 1.61/1.93 % (2168)------------------------------
% 1.61/1.93 % (2172)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_2015 for (2994ds/6Mi)
% 1.61/1.93 % (2171)Refutation not found, incomplete strategy
% 1.61/1.93 % (2171)------------------------------
% 1.61/1.93 % (2171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.93 % (2171)Termination reason: Refutation not found, incomplete strategy
% 1.61/1.93
% 1.61/1.93
% 1.61/1.93 % (2171)Memory used [KB]: 5500
% 1.61/1.93 % (2171)Time elapsed: 0.009 s
% 1.61/1.93 % (2171)Instructions burned: 14 (million)
% 1.61/1.93 % (2171)------------------------------
% 1.61/1.93 % (2171)------------------------------
% 1.61/1.93 % (2172)Instruction limit reached!
% 1.61/1.93 % (2172)------------------------------
% 1.61/1.93 % (2172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.93 % (2172)Termination reason: Unknown
% 1.61/1.93 % (2172)Termination phase: Saturation
% 1.61/1.93
% 1.61/1.93 % (2172)Memory used [KB]: 5500
% 1.61/1.93 % (2172)Time elapsed: 0.005 s
% 1.61/1.93 % (2172)Instructions burned: 6 (million)
% 1.61/1.93 % (2172)------------------------------
% 1.61/1.93 % (2172)------------------------------
% 1.61/1.95 % (2173)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_2015 for (2993ds/150Mi)
% 1.61/1.95 % (2169)Instruction limit reached!
% 1.61/1.95 % (2169)------------------------------
% 1.61/1.95 % (2169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.95 % (2169)Termination reason: Unknown
% 1.61/1.95 % (2169)Termination phase: Saturation
% 1.61/1.95
% 1.61/1.95 % (2169)Memory used [KB]: 5884
% 1.61/1.95 % (2169)Time elapsed: 0.045 s
% 1.61/1.95 % (2169)Instructions burned: 84 (million)
% 1.61/1.95 % (2169)------------------------------
% 1.61/1.95 % (2169)------------------------------
% 1.61/1.95 % (2174)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_2015 for (2993ds/343Mi)
% 1.61/1.95 % (2175)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_2015 for (2993ds/109Mi)
% 1.61/1.96 % (2176)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_2015 for (2993ds/253Mi)
% 1.61/1.97 % (2153)Instruction limit reached!
% 1.61/1.97 % (2153)------------------------------
% 1.61/1.97 % (2153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.97 % (2153)Termination reason: Unknown
% 1.61/1.97 % (2153)Termination phase: Saturation
% 1.61/1.97
% 1.61/1.97 % (2153)Memory used [KB]: 6268
% 1.61/1.97 % (2153)Time elapsed: 0.227 s
% 1.61/1.97 % (2153)Instructions burned: 449 (million)
% 1.61/1.97 % (2153)------------------------------
% 1.61/1.97 % (2153)------------------------------
% 1.61/1.98 % (2177)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_2015 for (2993ds/140Mi)
% 1.61/2.00 % (2175)Instruction limit reached!
% 1.61/2.00 % (2175)------------------------------
% 1.61/2.00 % (2175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/2.00 % (2175)Termination reason: Unknown
% 1.61/2.00 % (2175)Termination phase: Saturation
% 1.61/2.00
% 1.61/2.00 % (2175)Memory used [KB]: 6012
% 1.61/2.00 % (2175)Time elapsed: 0.054 s
% 1.61/2.00 % (2175)Instructions burned: 109 (million)
% 1.61/2.00 % (2175)------------------------------
% 1.61/2.00 % (2175)------------------------------
% 1.61/2.02 % (2173)Instruction limit reached!
% 1.61/2.02 % (2173)------------------------------
% 1.61/2.02 % (2173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/2.02 % (2173)Termination reason: Unknown
% 1.61/2.02 % (2173)Termination phase: Saturation
% 1.61/2.02
% 1.61/2.02 % (2173)Memory used [KB]: 6140
% 1.61/2.02 % (2173)Time elapsed: 0.075 s
% 1.61/2.02 % (2173)Instructions burned: 151 (million)
% 1.61/2.02 % (2173)------------------------------
% 1.61/2.02 % (2173)------------------------------
% 1.61/2.02 % (2178)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_2015 for (2993ds/614Mi)
% 6.46/2.03 % (2156)Instruction limit reached!
% 6.46/2.03 % (2156)------------------------------
% 6.46/2.03 % (2156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.46/2.03 % (2156)Termination reason: Unknown
% 6.46/2.03 % (2156)Termination phase: Saturation
% 6.46/2.03
% 6.46/2.03 % (2156)Memory used [KB]: 6396
% 6.46/2.03 % (2156)Time elapsed: 0.257 s
% 6.46/2.03 % (2156)Instructions burned: 508 (million)
% 6.46/2.03 % (2156)------------------------------
% 6.46/2.03 % (2156)------------------------------
% 6.46/2.04 % (2179)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_2015 for (2993ds/202Mi)
% 6.46/2.04 % (2177)Instruction limit reached!
% 6.46/2.04 % (2177)------------------------------
% 6.46/2.04 % (2177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.46/2.04 % (2177)Termination reason: Unknown
% 6.46/2.04 % (2177)Termination phase: Saturation
% 6.46/2.04
% 6.46/2.04 % (2177)Memory used [KB]: 5756
% 6.46/2.04 % (2177)Time elapsed: 0.064 s
% 6.46/2.04 % (2177)Instructions burned: 141 (million)
% 6.46/2.04 % (2177)------------------------------
% 6.46/2.04 % (2177)------------------------------
% 6.46/2.05 % (2163)Instruction limit reached!
% 6.46/2.05 % (2163)------------------------------
% 6.46/2.05 % (2163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.46/2.05 % (2163)Termination reason: Unknown
% 6.46/2.05 % (2163)Termination phase: Saturation
% 6.46/2.05
% 6.46/2.05 % (2163)Memory used [KB]: 3070
% 6.46/2.05 % (2163)Time elapsed: 0.203 s
% 6.46/2.05 % (2163)Instructions burned: 433 (million)
% 6.46/2.05 % (2163)------------------------------
% 6.46/2.05 % (2163)------------------------------
% 6.46/2.05 % (2180)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_2015 for (2992ds/339Mi)
% 6.46/2.06 % (2181)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_2015 for (2992ds/283Mi)
% 6.46/2.07 % (2182)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_2015 for (2992ds/134Mi)
% 6.46/2.07 % (2180)Refutation not found, incomplete strategy
% 6.46/2.07 % (2180)------------------------------
% 6.46/2.07 % (2180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.46/2.07 % (2180)Termination reason: Refutation not found, incomplete strategy
% 6.46/2.07
% 6.46/2.07
% 6.46/2.07 % (2180)Memory used [KB]: 5756
% 6.46/2.07 % (2180)Time elapsed: 0.047 s
% 6.46/2.07 % (2180)Instructions burned: 42 (million)
% 6.46/2.07 % (2180)------------------------------
% 6.46/2.07 % (2180)------------------------------
% 6.46/2.08 % (2176)Instruction limit reached!
% 6.46/2.08 % (2176)------------------------------
% 6.46/2.08 % (2176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.46/2.08 % (2176)Termination reason: Unknown
% 6.46/2.08 % (2176)Termination phase: Saturation
% 6.46/2.08
% 6.46/2.08 % (2176)Memory used [KB]: 6012
% 6.46/2.08 % (2176)Time elapsed: 0.117 s
% 6.46/2.08 % (2176)Instructions burned: 253 (million)
% 6.46/2.08 % (2176)------------------------------
% 6.46/2.08 % (2176)------------------------------
% 6.46/2.09 % (2183)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_2015 for (2992ds/298Mi)
% 6.46/2.09 % (2184)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_2015 for (2992ds/192Mi)
% 6.46/2.10 % (2174)Instruction limit reached!
% 6.46/2.10 % (2174)------------------------------
% 6.46/2.10 % (2174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.46/2.10 % (2174)Termination reason: Unknown
% 6.46/2.10 % (2174)Termination phase: Saturation
% 6.46/2.10
% 6.46/2.10 % (2174)Memory used [KB]: 6012
% 6.46/2.10 % (2174)Time elapsed: 0.150 s
% 6.46/2.10 % (2174)Instructions burned: 344 (million)
% 6.46/2.10 % (2174)------------------------------
% 6.46/2.10 % (2174)------------------------------
% 6.46/2.12 % (2185)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_2015 for (2992ds/258Mi)
% 6.73/2.13 % (2182)Instruction limit reached!
% 6.73/2.13 % (2182)------------------------------
% 6.73/2.13 % (2182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.13 % (2182)Termination reason: Unknown
% 6.73/2.14 % (2182)Termination phase: Saturation
% 6.73/2.14
% 6.73/2.14 % (2182)Memory used [KB]: 6012
% 6.73/2.14 % (2182)Time elapsed: 0.094 s
% 6.73/2.14 % (2182)Instructions burned: 135 (million)
% 6.73/2.14 % (2182)------------------------------
% 6.73/2.14 % (2182)------------------------------
% 6.73/2.14 % (2179)Instruction limit reached!
% 6.73/2.14 % (2179)------------------------------
% 6.73/2.14 % (2179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.14 % (2179)Termination reason: Unknown
% 6.73/2.14 % (2179)Termination phase: Saturation
% 6.73/2.14
% 6.73/2.14 % (2179)Memory used [KB]: 6140
% 6.73/2.14 % (2179)Time elapsed: 0.126 s
% 6.73/2.14 % (2179)Instructions burned: 202 (million)
% 6.73/2.14 % (2179)------------------------------
% 6.73/2.14 % (2179)------------------------------
% 6.73/2.15 % (2186)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_2015 for (2991ds/90Mi)
% 6.73/2.15 % (2187)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_2015 for (2991ds/231Mi)
% 6.73/2.17 % (2186)Refutation not found, incomplete strategy
% 6.73/2.17 % (2186)------------------------------
% 6.73/2.17 % (2186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.17 % (2186)Termination reason: Refutation not found, incomplete strategy
% 6.73/2.17
% 6.73/2.17
% 6.73/2.17 % (2186)Memory used [KB]: 5628
% 6.73/2.17 % (2186)Time elapsed: 0.021 s
% 6.73/2.17 % (2186)Instructions burned: 36 (million)
% 6.73/2.17 % (2186)------------------------------
% 6.73/2.17 % (2186)------------------------------
% 6.73/2.19 % (2181)Instruction limit reached!
% 6.73/2.19 % (2181)------------------------------
% 6.73/2.19 % (2181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.19 % (2181)Termination reason: Unknown
% 6.73/2.19 % (2181)Termination phase: Saturation
% 6.73/2.19
% 6.73/2.19 % (2181)Memory used [KB]: 6780
% 6.73/2.19 % (2181)Time elapsed: 0.150 s
% 6.73/2.19 % (2181)Instructions burned: 285 (million)
% 6.73/2.19 % (2181)------------------------------
% 6.73/2.19 % (2181)------------------------------
% 6.73/2.19 % (2188)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_2015 for (2991ds/458Mi)
% 6.73/2.19 % (2184)Instruction limit reached!
% 6.73/2.19 % (2184)------------------------------
% 6.73/2.19 % (2184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.19 % (2184)Termination reason: Unknown
% 6.73/2.19 % (2184)Termination phase: Saturation
% 6.73/2.19
% 6.73/2.19 % (2184)Memory used [KB]: 6524
% 6.73/2.19 % (2184)Time elapsed: 0.096 s
% 6.73/2.19 % (2184)Instructions burned: 193 (million)
% 6.73/2.19 % (2184)------------------------------
% 6.73/2.19 % (2184)------------------------------
% 6.73/2.19 % (2188)Refutation not found, incomplete strategy
% 6.73/2.19 % (2188)------------------------------
% 6.73/2.19 % (2188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.73/2.19 % (2188)Termination reason: Refutation not found, incomplete strategy
% 6.73/2.19
% 6.73/2.19
% 6.73/2.19 % (2188)Memory used [KB]: 5628
% 6.73/2.19 % (2188)Time elapsed: 0.009 s
% 6.73/2.19 % (2188)Instructions burned: 13 (million)
% 6.73/2.19 % (2188)------------------------------
% 6.73/2.19 % (2188)------------------------------
% 7.24/2.20 % (2189)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_2015 for (2991ds/31Mi)
% 7.24/2.20 % (2190)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_2015 for (2991ds/297Mi)
% 7.24/2.21 % (2191)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_2015 for (2991ds/987Mi)
% 7.24/2.22 % (2189)Instruction limit reached!
% 7.24/2.22 % (2189)------------------------------
% 7.24/2.22 % (2189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.22 % (2189)Termination reason: Unknown
% 7.24/2.22 % (2189)Termination phase: Saturation
% 7.24/2.22
% 7.24/2.22 % (2189)Memory used [KB]: 5628
% 7.24/2.22 % (2189)Time elapsed: 0.018 s
% 7.24/2.22 % (2189)Instructions burned: 32 (million)
% 7.24/2.22 % (2189)------------------------------
% 7.24/2.22 % (2189)------------------------------
% 7.24/2.24 % (2192)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_2015 for (2991ds/182Mi)
% 7.24/2.24 % (2183)Instruction limit reached!
% 7.24/2.24 % (2183)------------------------------
% 7.24/2.24 % (2183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.24 % (2183)Termination reason: Unknown
% 7.24/2.24 % (2183)Termination phase: Saturation
% 7.24/2.24
% 7.24/2.24 % (2183)Memory used [KB]: 6140
% 7.24/2.24 % (2183)Time elapsed: 0.150 s
% 7.24/2.24 % (2183)Instructions burned: 300 (million)
% 7.24/2.24 % (2183)------------------------------
% 7.24/2.24 % (2183)------------------------------
% 7.24/2.25 % (2185)Instruction limit reached!
% 7.24/2.25 % (2185)------------------------------
% 7.24/2.25 % (2185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.25 % (2185)Termination reason: Unknown
% 7.24/2.25 % (2185)Termination phase: Saturation
% 7.24/2.25
% 7.24/2.25 % (2185)Memory used [KB]: 6268
% 7.24/2.25 % (2185)Time elapsed: 0.133 s
% 7.24/2.25 % (2185)Instructions burned: 259 (million)
% 7.24/2.25 % (2185)------------------------------
% 7.24/2.25 % (2185)------------------------------
% 7.24/2.25 % (2187)Instruction limit reached!
% 7.24/2.25 % (2187)------------------------------
% 7.24/2.25 % (2187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.25 % (2187)Termination reason: Unknown
% 7.24/2.25 % (2187)Termination phase: Saturation
% 7.24/2.25
% 7.24/2.25 % (2187)Memory used [KB]: 5756
% 7.24/2.25 % (2187)Time elapsed: 0.097 s
% 7.24/2.25 % (2187)Instructions burned: 233 (million)
% 7.24/2.25 % (2187)------------------------------
% 7.24/2.25 % (2187)------------------------------
% 7.24/2.25 % (2193)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_2015 for (2990ds/182Mi)
% 7.24/2.26 % (2194)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_2015 for (2990ds/154Mi)
% 7.24/2.27 % (2195)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_2015 for (2990ds/79Mi)
% 7.24/2.27 % (2178)Instruction limit reached!
% 7.24/2.27 % (2178)------------------------------
% 7.24/2.27 % (2178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.24/2.27 % (2178)Termination reason: Unknown
% 7.24/2.27 % (2178)Termination phase: Saturation
% 7.24/2.27
% 7.24/2.27 % (2178)Memory used [KB]: 6908
% 7.24/2.27 % (2178)Time elapsed: 0.273 s
% 7.24/2.27 % (2178)Instructions burned: 616 (million)
% 7.24/2.27 % (2178)------------------------------
% 7.24/2.27 % (2178)------------------------------
% 7.24/2.29 % (2196)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_2015 for (2990ds/216Mi)
% 7.97/2.31 % (2195)Instruction limit reached!
% 7.97/2.31 % (2195)------------------------------
% 7.97/2.31 % (2195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.31 % (2195)Termination reason: Unknown
% 7.97/2.31 % (2195)Termination phase: Saturation
% 7.97/2.31
% 7.97/2.31 % (2195)Memory used [KB]: 5756
% 7.97/2.31 % (2195)Time elapsed: 0.041 s
% 7.97/2.31 % (2195)Instructions burned: 80 (million)
% 7.97/2.31 % (2195)------------------------------
% 7.97/2.31 % (2195)------------------------------
% 7.97/2.32 % (2192)Instruction limit reached!
% 7.97/2.32 % (2192)------------------------------
% 7.97/2.32 % (2192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.32 % (2192)Termination reason: Unknown
% 7.97/2.32 % (2192)Termination phase: Saturation
% 7.97/2.32
% 7.97/2.32 % (2192)Memory used [KB]: 6140
% 7.97/2.32 % (2192)Time elapsed: 0.083 s
% 7.97/2.32 % (2192)Instructions burned: 182 (million)
% 7.97/2.32 % (2192)------------------------------
% 7.97/2.32 % (2192)------------------------------
% 7.97/2.32 % (2197)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_2015 for (2990ds/114Mi)
% 7.97/2.33 % (2198)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_2015 for (2990ds/922Mi)
% 7.97/2.34 % (2194)Instruction limit reached!
% 7.97/2.34 % (2194)------------------------------
% 7.97/2.34 % (2194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.34 % (2194)Termination reason: Unknown
% 7.97/2.34 % (2194)Termination phase: Saturation
% 7.97/2.34
% 7.97/2.34 % (2194)Memory used [KB]: 6140
% 7.97/2.34 % (2194)Time elapsed: 0.077 s
% 7.97/2.34 % (2194)Instructions burned: 154 (million)
% 7.97/2.34 % (2194)------------------------------
% 7.97/2.34 % (2194)------------------------------
% 7.97/2.34 % (2193)Instruction limit reached!
% 7.97/2.34 % (2193)------------------------------
% 7.97/2.34 % (2193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.34 % (2193)Termination reason: Unknown
% 7.97/2.34 % (2193)Termination phase: Saturation
% 7.97/2.34
% 7.97/2.34 % (2193)Memory used [KB]: 5884
% 7.97/2.34 % (2193)Time elapsed: 0.087 s
% 7.97/2.34 % (2193)Instructions burned: 183 (million)
% 7.97/2.34 % (2193)------------------------------
% 7.97/2.34 % (2193)------------------------------
% 7.97/2.34 % (2190)Instruction limit reached!
% 7.97/2.34 % (2190)------------------------------
% 7.97/2.34 % (2190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.34 % (2190)Termination reason: Unknown
% 7.97/2.34 % (2190)Termination phase: Saturation
% 7.97/2.34
% 7.97/2.34 % (2190)Memory used [KB]: 6396
% 7.97/2.34 % (2190)Time elapsed: 0.141 s
% 7.97/2.34 % (2190)Instructions burned: 297 (million)
% 7.97/2.34 % (2190)------------------------------
% 7.97/2.34 % (2190)------------------------------
% 7.97/2.35 % (2198)Refutation not found, incomplete strategy
% 7.97/2.35 % (2198)------------------------------
% 7.97/2.35 % (2198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.35 % (2198)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.35
% 7.97/2.35
% 7.97/2.35 % (2198)Memory used [KB]: 5756
% 7.97/2.35 % (2198)Time elapsed: 0.020 s
% 7.97/2.35 % (2198)Instructions burned: 33 (million)
% 7.97/2.35 % (2198)------------------------------
% 7.97/2.35 % (2198)------------------------------
% 7.97/2.35 % (2199)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_2015 for (2989ds/182Mi)
% 7.97/2.36 % (2200)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_2015 for (2989ds/164Mi)
% 7.97/2.36 % (2201)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_2015 for (2989ds/50Mi)
% 7.97/2.37 % (2202)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_2015 for (2989ds/368Mi)
% 7.97/2.38 % (2197)Instruction limit reached!
% 7.97/2.38 % (2197)------------------------------
% 7.97/2.38 % (2197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.38 % (2197)Termination reason: Unknown
% 7.97/2.38 % (2197)Termination phase: Saturation
% 7.97/2.38
% 7.97/2.38 % (2197)Memory used [KB]: 5884
% 7.97/2.38 % (2197)Time elapsed: 0.059 s
% 7.97/2.38 % (2197)Instructions burned: 114 (million)
% 7.97/2.38 % (2197)------------------------------
% 7.97/2.38 % (2197)------------------------------
% 7.97/2.38 % (2201)Instruction limit reached!
% 7.97/2.38 % (2201)------------------------------
% 7.97/2.38 % (2201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.38 % (2201)Termination reason: Unknown
% 7.97/2.38 % (2201)Termination phase: Saturation
% 7.97/2.38
% 7.97/2.38 % (2201)Memory used [KB]: 10490
% 7.97/2.38 % (2201)Time elapsed: 0.026 s
% 7.97/2.38 % (2201)Instructions burned: 51 (million)
% 7.97/2.38 % (2201)------------------------------
% 7.97/2.38 % (2201)------------------------------
% 7.97/2.39 % (2196)Instruction limit reached!
% 7.97/2.39 % (2196)------------------------------
% 7.97/2.39 % (2196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.39 % (2196)Termination reason: Unknown
% 7.97/2.39 % (2196)Termination phase: Saturation
% 7.97/2.39
% 7.97/2.39 % (2196)Memory used [KB]: 6140
% 7.97/2.39 % (2196)Time elapsed: 0.104 s
% 7.97/2.39 % (2196)Instructions burned: 217 (million)
% 7.97/2.39 % (2196)------------------------------
% 7.97/2.39 % (2196)------------------------------
% 7.97/2.40 % (2203)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_2015 for (2989ds/1021Mi)
% 8.75/2.40 % (2204)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_2015 for (2989ds/267Mi)
% 8.75/2.40 % (2205)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_2015 for (2989ds/204Mi)
% 8.75/2.42 % (2205)Refutation not found, incomplete strategy
% 8.75/2.42 % (2205)------------------------------
% 8.75/2.42 % (2205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.42 % (2205)Termination reason: Refutation not found, incomplete strategy
% 8.75/2.42
% 8.75/2.42
% 8.75/2.42 % (2205)Memory used [KB]: 5628
% 8.75/2.42 % (2205)Time elapsed: 0.015 s
% 8.75/2.42 % (2205)Instructions burned: 24 (million)
% 8.75/2.42 % (2205)------------------------------
% 8.75/2.42 % (2205)------------------------------
% 8.75/2.43 % (2200)Instruction limit reached!
% 8.75/2.43 % (2200)------------------------------
% 8.75/2.43 % (2200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.43 % (2200)Termination reason: Unknown
% 8.75/2.43 % (2200)Termination phase: Saturation
% 8.75/2.43
% 8.75/2.43 % (2200)Memory used [KB]: 1279
% 8.75/2.43 % (2200)Time elapsed: 0.080 s
% 8.75/2.43 % (2200)Instructions burned: 165 (million)
% 8.75/2.43 % (2200)------------------------------
% 8.75/2.43 % (2200)------------------------------
% 8.75/2.44 % (2206)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_2015 for (2989ds/26Mi)
% 8.75/2.45 % (2199)Instruction limit reached!
% 8.75/2.45 % (2199)------------------------------
% 8.75/2.45 % (2199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.45 % (2199)Termination reason: Unknown
% 8.75/2.45 % (2199)Termination phase: Saturation
% 8.75/2.45
% 8.75/2.45 % (2199)Memory used [KB]: 5884
% 8.75/2.45 % (2199)Time elapsed: 0.092 s
% 8.75/2.45 % (2199)Instructions burned: 183 (million)
% 8.75/2.45 % (2199)------------------------------
% 8.75/2.45 % (2199)------------------------------
% 8.75/2.45 % (2206)Instruction limit reached!
% 8.75/2.45 % (2206)------------------------------
% 8.75/2.45 % (2206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.45 % (2206)Termination reason: Unknown
% 8.75/2.45 % (2206)Termination phase: Saturation
% 8.75/2.45
% 8.75/2.45 % (2206)Memory used [KB]: 5628
% 8.75/2.45 % (2206)Time elapsed: 0.016 s
% 8.75/2.45 % (2206)Instructions burned: 27 (million)
% 8.75/2.45 % (2206)------------------------------
% 8.75/2.45 % (2206)------------------------------
% 8.75/2.45 % (2207)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_2015 for (2988ds/53Mi)
% 8.75/2.46 % (2208)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_2015 for (2988ds/4436Mi)
% 8.75/2.47 % (2209)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_2015 for (2988ds/1539Mi)
% 8.75/2.47 % (2208)Refutation not found, incomplete strategy
% 8.75/2.47 % (2208)------------------------------
% 8.75/2.47 % (2208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.47 % (2208)Termination reason: Refutation not found, incomplete strategy
% 8.75/2.47
% 8.75/2.47
% 8.75/2.47 % (2208)Memory used [KB]: 5628
% 8.75/2.47 % (2208)Time elapsed: 0.010 s
% 8.75/2.47 % (2208)Instructions burned: 15 (million)
% 8.75/2.47 % (2208)------------------------------
% 8.75/2.47 % (2208)------------------------------
% 8.75/2.48 % (2207)Instruction limit reached!
% 8.75/2.48 % (2207)------------------------------
% 8.75/2.48 % (2207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.75/2.48 % (2207)Termination reason: Unknown
% 8.75/2.48 % (2207)Termination phase: Saturation
% 8.75/2.48
% 8.75/2.48 % (2207)Memory used [KB]: 5756
% 8.75/2.48 % (2207)Time elapsed: 0.027 s
% 8.75/2.48 % (2207)Instructions burned: 53 (million)
% 8.75/2.48 % (2207)------------------------------
% 8.75/2.48 % (2207)------------------------------
% 8.75/2.49 % (2210)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_2015 for (2988ds/408Mi)
% 8.75/2.49 % (2211)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_2015 for (2988ds/5205Mi)
% 9.07/2.53 % (2204)Instruction limit reached!
% 9.07/2.53 % (2204)------------------------------
% 9.07/2.53 % (2204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.07/2.53 % (2204)Termination reason: Unknown
% 9.07/2.53 % (2204)Termination phase: Saturation
% 9.07/2.53
% 9.07/2.53 % (2204)Memory used [KB]: 5756
% 9.07/2.53 % (2204)Time elapsed: 0.128 s
% 9.07/2.53 % (2204)Instructions burned: 268 (million)
% 9.07/2.53 % (2204)------------------------------
% 9.07/2.53 % (2204)------------------------------
% 9.07/2.54 % (2212)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_2015 for (2988ds/1913Mi)
% 9.07/2.55 % (2202)Instruction limit reached!
% 9.07/2.55 % (2202)------------------------------
% 9.07/2.55 % (2202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.07/2.55 % (2202)Termination reason: Unknown
% 9.07/2.55 % (2202)Termination phase: Saturation
% 9.07/2.55
% 9.07/2.55 % (2202)Memory used [KB]: 7164
% 9.07/2.55 % (2202)Time elapsed: 0.183 s
% 9.07/2.55 % (2202)Instructions burned: 368 (million)
% 9.07/2.55 % (2202)------------------------------
% 9.07/2.55 % (2202)------------------------------
% 9.07/2.57 % (2213)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_2015 for (2987ds/4350Mi)
% 9.42/2.60 % (2191)Instruction limit reached!
% 9.42/2.60 % (2191)------------------------------
% 9.42/2.60 % (2191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.60 % (2191)Termination reason: Unknown
% 9.42/2.60 % (2191)Termination phase: Saturation
% 9.42/2.60
% 9.42/2.60 % (2191)Memory used [KB]: 6268
% 9.42/2.60 % (2191)Time elapsed: 0.389 s
% 9.42/2.60 % (2191)Instructions burned: 987 (million)
% 9.42/2.60 % (2191)------------------------------
% 9.42/2.60 % (2191)------------------------------
% 9.42/2.62 % (2214)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_2015 for (2987ds/68Mi)
% 9.42/2.65 % (2214)Instruction limit reached!
% 9.42/2.65 % (2214)------------------------------
% 9.42/2.65 % (2214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.65 % (2214)Termination reason: Unknown
% 9.42/2.65 % (2214)Termination phase: Saturation
% 9.42/2.65
% 9.42/2.65 % (2214)Memory used [KB]: 5884
% 9.42/2.65 % (2214)Time elapsed: 0.057 s
% 9.42/2.65 % (2214)Instructions burned: 70 (million)
% 9.42/2.65 % (2214)------------------------------
% 9.42/2.65 % (2214)------------------------------
% 9.42/2.67 % (2215)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_2015 for (2986ds/358Mi)
% 9.42/2.69 % (2210)Instruction limit reached!
% 9.42/2.69 % (2210)------------------------------
% 9.42/2.69 % (2210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.69 % (2210)Termination reason: Unknown
% 9.42/2.69 % (2210)Termination phase: Saturation
% 9.42/2.69
% 9.42/2.69 % (2210)Memory used [KB]: 6524
% 9.42/2.69 % (2210)Time elapsed: 0.208 s
% 9.42/2.69 % (2210)Instructions burned: 409 (million)
% 9.42/2.69 % (2210)------------------------------
% 9.42/2.69 % (2210)------------------------------
% 10.09/2.71 % (2216)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_2015 for (2986ds/31Mi)
% 10.09/2.73 % (2216)Instruction limit reached!
% 10.09/2.73 % (2216)------------------------------
% 10.09/2.73 % (2216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.09/2.73 % (2216)Termination reason: Unknown
% 10.09/2.73 % (2216)Termination phase: Saturation
% 10.09/2.73
% 10.09/2.73 % (2216)Memory used [KB]: 5628
% 10.09/2.73 % (2216)Time elapsed: 0.039 s
% 10.09/2.73 % (2216)Instructions burned: 31 (million)
% 10.09/2.73 % (2216)------------------------------
% 10.09/2.73 % (2216)------------------------------
% 10.09/2.74 % (2217)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_2015 for (2986ds/279Mi)
% 10.12/2.82 % (2215)Instruction limit reached!
% 10.12/2.82 % (2215)------------------------------
% 10.12/2.82 % (2215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.12/2.82 % (2215)Termination reason: Unknown
% 10.12/2.82 % (2215)Termination phase: Saturation
% 10.12/2.82
% 10.12/2.82 % (2215)Memory used [KB]: 6012
% 10.12/2.82 % (2215)Time elapsed: 0.181 s
% 10.12/2.82 % (2215)Instructions burned: 359 (million)
% 10.12/2.82 % (2215)------------------------------
% 10.12/2.82 % (2215)------------------------------
% 10.12/2.84 % (2218)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_2015 for (2984ds/258Mi)
% 10.12/2.88 % (2217)Instruction limit reached!
% 10.12/2.88 % (2217)------------------------------
% 10.12/2.88 % (2217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.12/2.88 % (2217)Termination reason: Unknown
% 10.12/2.88 % (2217)Termination phase: Saturation
% 10.12/2.88
% 10.12/2.88 % (2217)Memory used [KB]: 5884
% 10.12/2.88 % (2217)Time elapsed: 0.163 s
% 10.12/2.88 % (2217)Instructions burned: 279 (million)
% 10.12/2.88 % (2217)------------------------------
% 10.12/2.88 % (2217)------------------------------
% 10.12/2.89 % (2203)Instruction limit reached!
% 10.12/2.89 % (2203)------------------------------
% 10.12/2.89 % (2203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.12/2.89 % (2203)Termination reason: Unknown
% 10.12/2.89 % (2203)Termination phase: Saturation
% 10.12/2.89
% 10.12/2.89 % (2203)Memory used [KB]: 7291
% 10.12/2.89 % (2203)Time elapsed: 0.501 s
% 10.12/2.89 % (2203)Instructions burned: 1021 (million)
% 10.12/2.89 % (2203)------------------------------
% 10.12/2.89 % (2203)------------------------------
% 10.97/2.90 % (2219)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_2015 for (2984ds/26Mi)
% 10.97/2.91 % (2220)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_2015 for (2984ds/995Mi)
% 10.97/2.91 % (2219)Instruction limit reached!
% 10.97/2.91 % (2219)------------------------------
% 10.97/2.91 % (2219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.97/2.91 % (2219)Termination reason: Unknown
% 10.97/2.91 % (2219)Termination phase: Saturation
% 10.97/2.91
% 10.97/2.91 % (2219)Memory used [KB]: 5628
% 10.97/2.91 % (2219)Time elapsed: 0.016 s
% 10.97/2.91 % (2219)Instructions burned: 27 (million)
% 10.97/2.91 % (2219)------------------------------
% 10.97/2.91 % (2219)------------------------------
% 10.97/2.92 % (2220)Refutation not found, incomplete strategy
% 10.97/2.92 % (2220)------------------------------
% 10.97/2.92 % (2220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.97/2.92 % (2220)Termination reason: Refutation not found, incomplete strategy
% 10.97/2.92
% 10.97/2.92
% 10.97/2.92 % (2220)Memory used [KB]: 5500
% 10.97/2.92 % (2220)Time elapsed: 0.009 s
% 10.97/2.92 % (2220)Instructions burned: 14 (million)
% 10.97/2.92 % (2220)------------------------------
% 10.97/2.92 % (2220)------------------------------
% 10.97/2.93 % (2221)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_2015 for (2984ds/373Mi)
% 10.97/2.93 % (2222)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_2015 for (2983ds/253Mi)
% 10.97/2.95 % (2218)Instruction limit reached!
% 10.97/2.95 % (2218)------------------------------
% 10.97/2.95 % (2218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.97/2.95 % (2218)Termination reason: Unknown
% 10.97/2.95 % (2218)Termination phase: Saturation
% 10.97/2.95
% 10.97/2.95 % (2218)Memory used [KB]: 5884
% 10.97/2.95 % (2218)Time elapsed: 0.113 s
% 10.97/2.95 % (2218)Instructions burned: 260 (million)
% 10.97/2.95 % (2218)------------------------------
% 10.97/2.95 % (2218)------------------------------
% 10.97/2.97 % (2223)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_2015 for (2983ds/832Mi)
% 10.97/2.98 % (2223)Refutation not found, incomplete strategy
% 10.97/2.98 % (2223)------------------------------
% 10.97/2.98 % (2223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.97/2.98 % (2223)Termination reason: Refutation not found, incomplete strategy
% 10.97/2.98
% 10.97/2.98
% 10.97/2.98 % (2223)Memory used [KB]: 5628
% 10.97/2.98 % (2223)Time elapsed: 0.015 s
% 10.97/2.98 % (2223)Instructions burned: 24 (million)
% 10.97/2.98 % (2223)------------------------------
% 10.97/2.98 % (2223)------------------------------
% 10.97/3.00 % (2222)Refutation not found, incomplete strategy
% 10.97/3.00 % (2222)------------------------------
% 10.97/3.00 % (2222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.97/3.00 % (2222)Termination reason: Refutation not found, incomplete strategy
% 10.97/3.00
% 10.97/3.00
% 10.97/3.00 % (2222)Memory used [KB]: 5756
% 10.97/3.00 % (2222)Time elapsed: 0.062 s
% 10.97/3.00 % (2222)Instructions burned: 113 (million)
% 10.97/3.00 % (2222)------------------------------
% 10.97/3.00 % (2222)------------------------------
% 10.97/3.00 % (2224)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_2015 for (2983ds/668Mi)
% 10.97/3.01 % (2225)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_2015 for (2983ds/40Mi)
% 13.46/3.03 % (2221)First to succeed.
% 13.46/3.03 % (2225)Instruction limit reached!
% 13.46/3.03 % (2225)------------------------------
% 13.46/3.03 % (2225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.46/3.03 % (2225)Termination reason: Unknown
% 13.46/3.03 % (2225)Termination phase: Saturation
% 13.46/3.03
% 13.46/3.03 % (2225)Memory used [KB]: 5756
% 13.46/3.03 % (2225)Time elapsed: 0.022 s
% 13.46/3.03 % (2225)Instructions burned: 40 (million)
% 13.46/3.03 % (2225)------------------------------
% 13.46/3.03 % (2225)------------------------------
% 13.46/3.03 % (2221)Refutation found. Thanks to Tanya!
% 13.46/3.03 % SZS status Theorem for DTF2THF_2015
% 13.46/3.03 % SZS output start Proof for DTF2THF_2015
% 13.46/3.03 thf(type_def_5, type, a: $tType).
% 13.46/3.03 thf(func_def_0, type, a: $tType).
% 13.46/3.03 thf(func_def_6, type, sK0: a > a).
% 13.46/3.03 thf(func_def_7, type, sK1: a > a).
% 13.46/3.03 thf(func_def_8, type, sK2: a > a).
% 13.46/3.03 thf(func_def_9, type, sK3: (a > a) > $o).
% 13.46/3.03 thf(func_def_10, type, sK4: ((a > a) > $o) > a > a).
% 13.46/3.03 thf(func_def_11, type, sK5: ((a > a) > $o) > a > a).
% 13.46/3.03 thf(func_def_13, type, ph7: !>[X0: $tType]:(X0)).
% 13.46/3.03 thf(func_def_14, type, sK8: a).
% 13.46/3.03 thf(func_def_15, type, sK9: a).
% 13.46/3.03 thf(func_def_20, type, sK10: a).
% 13.46/3.03 thf(func_def_21, type, sK11: a).
% 13.46/3.03 thf(func_def_22, type, sK12: a).
% 13.46/3.03 thf(func_def_23, type, sK13: a).
% 13.46/3.03 thf(f446,plain,(
% 13.46/3.03 $false),
% 13.46/3.03 inference(avatar_sat_refutation,[status(thm)],[f114,f266,f444])).
% 13.46/3.03 thf(f444,plain,(
% 13.46/3.03 ~spl6_4),
% 13.46/3.03 inference(avatar_contradiction_clause,[status(thm)],[f443])).
% 13.46/3.03 thf(f443,plain,(
% 13.46/3.03 $false | ~spl6_4),
% 13.46/3.03 inference(subsumption_resolution,[status(thm)],[f442,f113])).
% 13.46/3.03 thf(f113,plain,(
% 13.46/3.03 ($true = (sK3 @ sK2)) | ~spl6_4),
% 13.46/3.03 inference(avatar_component_clause,[status(thm)],[f111])).
% 13.46/3.03 thf(f111,definition,(
% 13.46/3.03 spl6_4 <=> ($true = (sK3 @ sK2))),
% 13.46/3.03 introduced(definition,[new_symbols(naming,[spl6_4])],[avatar_definition])).
% 13.46/3.03 thf(f442,plain,(
% 13.46/3.03 ($true != (sK3 @ sK2)) | ~spl6_4),
% 13.46/3.03 inference(subsumption_resolution,[status(thm)],[f441,f21])).
% 13.46/3.03 thf(f21,plain,(
% 13.46/3.03 ((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))) != $true)),
% 13.46/3.03 inference(cnf_transformation,[status(thm)],[f14])).
% 13.46/3.03 thf(f14,plain,(
% 13.46/3.03 (((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))) != $true) & ($true = (sK3 @ (^[Y0 : a]: (Y0)))) & ! [X4 : a > a] : (($true != (sK3 @ X4)) | ((sK3 @ (^[Y0 : a]: (sK0 @ (X4 @ Y0)))) = $true))) & ! [X5 : (a > a) > $o] : (((X5 @ sK1) = $true) | ($true != (X5 @ (^[Y0 : a]: (Y0)))) | (($true = (X5 @ (sK4 @ X5))) & ((X5 @ (^[Y0 : a]: (sK0 @ (sK4 @ X5 @ Y0)))) != $true))) & ! [X7 : (a > a) > $o] : (($true != (X7 @ (^[Y0 : a]: (Y0)))) | (((X7 @ (^[Y0 : a]: (sK0 @ (sK5 @ X7 @ Y0)))) != $true) & ($true = (X7 @ (sK5 @ X7)))) | ($true = (X7 @ sK2)))),
% 13.46/3.03 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f9,f13,f12,f11,f10])).
% 13.46/3.03 thf(f10,plain,(
% 13.46/3.03 ? [X0 : a > a,X1 : a > a,X2 : a > a] : (? [X3 : (a > a) > $o] : (((X3 @ (^[Y0 : a]: (X1 @ (X2 @ Y0)))) != $true) & ($true = (X3 @ (^[Y0 : a]: (Y0)))) & ! [X4 : a > a] : (($true != (X3 @ X4)) | ($true = (X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0))))))) & ! [X5 : (a > a) > $o] : (((X5 @ X1) = $true) | ($true != (X5 @ (^[Y0 : a]: (Y0)))) | ? [X6 : a > a] : (($true = (X5 @ X6)) & ((X5 @ (^[Y0 : a]: (X0 @ (X6 @ Y0)))) != $true))) & ! [X7 : (a > a) > $o] : (($true != (X7 @ (^[Y0 : a]: (Y0)))) | ? [X8 : a > a] : (((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0)))) != $true) & ((X7 @ X8) = $true)) | ($true = (X7 @ X2)))) => (? [X3 : (a > a) > $o] : (($true != (X3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0))))) & ($true = (X3 @ (^[Y0 : a]: (Y0)))) & ! [X4 : a > a] : (($true != (X3 @ X4)) | ($true = (X3 @ (^[Y0 : a]: (sK0 @ (X4 @ Y0))))))) & ! [X5 : (a > a) > $o] : (((X5 @ sK1) = $true) | ($true != (X5 @ (^[Y0 : a]: (Y0)))) | ? [X6 : a > a] : (($true = (X5 @ X6)) & ($true != (X5 @ (^[Y0 : a]: (sK0 @ (X6 @ Y0))))))) & ! [X7 : (a > a) > $o] : (($true != (X7 @ (^[Y0 : a]: (Y0)))) | ? [X8 : a > a] : (($true != (X7 @ (^[Y0 : a]: (sK0 @ (X8 @ Y0))))) & ((X7 @ X8) = $true)) | ($true = (X7 @ sK2))))),
% 13.46/3.03 introduced(definition,[],[choice_axiom])).
% 13.46/3.03 thf(f11,plain,(
% 13.46/3.03 ? [X3 : (a > a) > $o] : (($true != (X3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0))))) & ($true = (X3 @ (^[Y0 : a]: (Y0)))) & ! [X4 : a > a] : (($true != (X3 @ X4)) | ($true = (X3 @ (^[Y0 : a]: (sK0 @ (X4 @ Y0))))))) => (((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))) != $true) & ($true = (sK3 @ (^[Y0 : a]: (Y0)))) & ! [X4 : a > a] : (($true != (sK3 @ X4)) | ((sK3 @ (^[Y0 : a]: (sK0 @ (X4 @ Y0)))) = $true)))),
% 13.46/3.03 introduced(definition,[],[choice_axiom])).
% 13.46/3.03 thf(f12,plain,(
% 13.46/3.03 ! [X5 : (a > a) > $o] : (? [X6 : a > a] : (($true = (X5 @ X6)) & ($true != (X5 @ (^[Y0 : a]: (sK0 @ (X6 @ Y0)))))) => (($true = (X5 @ (sK4 @ X5))) & ((X5 @ (^[Y0 : a]: (sK0 @ (sK4 @ X5 @ Y0)))) != $true)))),
% 13.46/3.03 introduced(definition,[],[choice_axiom])).
% 13.46/3.03 thf(f13,plain,(
% 13.46/3.03 ! [X7 : (a > a) > $o] : (? [X8 : a > a] : (($true != (X7 @ (^[Y0 : a]: (sK0 @ (X8 @ Y0))))) & ((X7 @ X8) = $true)) => (((X7 @ (^[Y0 : a]: (sK0 @ (sK5 @ X7 @ Y0)))) != $true) & ($true = (X7 @ (sK5 @ X7)))))),
% 13.46/3.03 introduced(definition,[],[choice_axiom])).
% 13.46/3.03 thf(f9,plain,(
% 13.46/3.03 ? [X0 : a > a,X1 : a > a,X2 : a > a] : (? [X3 : (a > a) > $o] : (((X3 @ (^[Y0 : a]: (X1 @ (X2 @ Y0)))) != $true) & ($true = (X3 @ (^[Y0 : a]: (Y0)))) & ! [X4 : a > a] : (($true != (X3 @ X4)) | ($true = (X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0))))))) & ! [X5 : (a > a) > $o] : (((X5 @ X1) = $true) | ($true != (X5 @ (^[Y0 : a]: (Y0)))) | ? [X6 : a > a] : (($true = (X5 @ X6)) & ((X5 @ (^[Y0 : a]: (X0 @ (X6 @ Y0)))) != $true))) & ! [X7 : (a > a) > $o] : (($true != (X7 @ (^[Y0 : a]: (Y0)))) | ? [X8 : a > a] : (((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0)))) != $true) & ((X7 @ X8) = $true)) | ($true = (X7 @ X2))))),
% 13.46/3.03 inference(rectify,[status(thm)],[f8])).
% 13.46/3.03 thf(f8,plain,(
% 13.46/3.03 ? [X0 : a > a,X1 : a > a,X2 : a > a] : (? [X7 : (a > a) > $o] : (($true != (X7 @ (^[Y0 : a]: (X1 @ (X2 @ Y0))))) & ($true = (X7 @ (^[Y0 : a]: (Y0)))) & ! [X8 : a > a] : (((X7 @ X8) != $true) | ((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0)))) = $true))) & ! [X5 : (a > a) > $o] : (((X5 @ X1) = $true) | ($true != (X5 @ (^[Y0 : a]: (Y0)))) | ? [X6 : a > a] : (($true = (X5 @ X6)) & ((X5 @ (^[Y0 : a]: (X0 @ (X6 @ Y0)))) != $true))) & ! [X3 : (a > a) > $o] : (($true != (X3 @ (^[Y0 : a]: (Y0)))) | ? [X4 : a > a] : (($true != (X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0))))) & ($true = (X3 @ X4))) | ((X3 @ X2) = $true)))),
% 13.46/3.03 inference(flattening,[status(thm)],[f7])).
% 13.46/3.03 thf(f7,plain,(
% 13.46/3.03 ? [X0 : a > a,X1 : a > a,X2 : a > a] : (? [X7 : (a > a) > $o] : (($true != (X7 @ (^[Y0 : a]: (X1 @ (X2 @ Y0))))) & (! [X8 : a > a] : (((X7 @ X8) != $true) | ((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0)))) = $true)) & ($true = (X7 @ (^[Y0 : a]: (Y0)))))) & (! [X3 : (a > a) > $o] : (((X3 @ X2) = $true) | (? [X4 : a > a] : (($true != (X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0))))) & ($true = (X3 @ X4))) | ($true != (X3 @ (^[Y0 : a]: (Y0)))))) & ! [X5 : (a > a) > $o] : (((X5 @ X1) = $true) | (($true != (X5 @ (^[Y0 : a]: (Y0)))) | ? [X6 : a > a] : (($true = (X5 @ X6)) & ((X5 @ (^[Y0 : a]: (X0 @ (X6 @ Y0)))) != $true))))))),
% 13.46/3.03 inference(ennf_transformation,[status(thm)],[f6])).
% 13.46/3.03 thf(f6,plain,(
% 13.46/3.03 ~! [X0 : a > a,X1 : a > a,X2 : a > a] : ((! [X3 : (a > a) > $o] : ((! [X4 : a > a] : (($true = (X3 @ X4)) => ($true = (X3 @ (^[Y0 : a]: (X0 @ (X4 @ Y0)))))) & ($true = (X3 @ (^[Y0 : a]: (Y0))))) => ((X3 @ X2) = $true)) & ! [X5 : (a > a) > $o] : ((($true = (X5 @ (^[Y0 : a]: (Y0)))) & ! [X6 : a > a] : (($true = (X5 @ X6)) => ((X5 @ (^[Y0 : a]: (X0 @ (X6 @ Y0)))) = $true))) => ((X5 @ X1) = $true))) => ! [X7 : (a > a) > $o] : ((! [X8 : a > a] : (((X7 @ X8) = $true) => ((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0)))) = $true)) & ($true = (X7 @ (^[Y0 : a]: (Y0))))) => ($true = (X7 @ (^[Y0 : a]: (X1 @ (X2 @ Y0)))))))),
% 13.46/3.03 inference(rectify,[status(thm)],[f5])).
% 13.46/3.03 thf(f5,plain,(
% 13.46/3.03 ~! [X0 : a > a,X1 : a > a,X2 : a > a] : ((! [X3 : (a > a) > $o] : ((($true = (X3 @ (^[Y0 : a]: (Y0)))) & ! [X5 : a > a] : (((X3 @ X5) = $true) => ((X3 @ (^[Y0 : a]: (X0 @ (X5 @ Y0)))) = $true))) => ((X3 @ X2) = $true)) & ! [X7 : (a > a) > $o] : ((! [X8 : a > a] : (((X7 @ X8) = $true) => ((X7 @ (^[Y0 : a]: (X0 @ (X8 @ Y0)))) = $true)) & ($true = (X7 @ (^[Y0 : a]: (Y0))))) => ($true = (X7 @ X1)))) => ! [X11 : (a > a) > $o] : ((! [X12 : a > a] : (((X11 @ X12) = $true) => ((X11 @ (^[Y0 : a]: (X0 @ (X12 @ Y0)))) = $true)) & ($true = (X11 @ (^[Y0 : a]: (Y0))))) => ($true = (X11 @ (^[Y0 : a]: (X1 @ (X2 @ Y0)))))))),
% 13.46/3.03 inference(fool_elimination,[status(thm)],[f4])).
% 13.46/3.03 thf(f4,plain,(
% 13.46/3.03 ~! [X0 : a > a,X1 : a > a,X2 : a > a] : ((! [X3 : (a > a) > $o] : (((X3 @ (^[X4 : a] : (X4))) & ! [X5 : a > a] : ((X3 @ X5) => (X3 @ (^[X6 : a] : (X0 @ (X5 @ X6)))))) => (X3 @ X2)) & ! [X7 : (a > a) > $o] : ((! [X8 : a > a] : ((X7 @ X8) => (X7 @ (^[X9 : a] : (X0 @ (X8 @ X9))))) & (X7 @ (^[X10 : a] : (X10)))) => (X7 @ X1))) => ! [X11 : (a > a) > $o] : ((! [X12 : a > a] : ((X11 @ X12) => (X11 @ (^[X13 : a] : (X0 @ (X12 @ X13))))) & (X11 @ (^[X14 : a] : (X14)))) => (X11 @ (^[X15 : a] : (X1 @ (X2 @ X15))))))),
% 13.46/3.03 inference(rectify,[status(thm)],[f2])).
% 13.46/3.03 thf(f2,negated_conjecture,(
% 13.46/3.03 ~! [X0 : a > a,X1 : a > a,X2 : a > a] : ((! [X3 : (a > a) > $o] : (((X3 @ (^[X4 : a] : (X4))) & ! [X5 : a > a] : ((X3 @ X5) => (X3 @ (^[X6 : a] : (X0 @ (X5 @ X6)))))) => (X3 @ X2)) & ! [X3 : (a > a) > $o] : ((! [X5 : a > a] : ((X3 @ X5) => (X3 @ (^[X6 : a] : (X0 @ (X5 @ X6))))) & (X3 @ (^[X4 : a] : (X4)))) => (X3 @ X1))) => ! [X3 : (a > a) > $o] : ((! [X5 : a > a] : ((X3 @ X5) => (X3 @ (^[X6 : a] : (X0 @ (X5 @ X6))))) & (X3 @ (^[X4 : a] : (X4)))) => (X3 @ (^[X6 : a] : (X1 @ (X2 @ X6))))))),
% 13.46/3.03 inference(negated_conjecture,[status(cth)],[f1])).
% 13.46/3.03 thf(f1,conjecture,(
% 13.46/3.03 ! [X0 : a > a,X1 : a > a,X2 : a > a] : ((! [X3 : (a > a) > $o] : (((X3 @ (^[X4 : a] : (X4))) & ! [X5 : a > a] : ((X3 @ X5) => (X3 @ (^[X6 : a] : (X0 @ (X5 @ X6)))))) => (X3 @ X2)) & ! [X3 : (a > a) > $o] : ((! [X5 : a > a] : ((X3 @ X5) => (X3 @ (^[X6 : a] : (X0 @ (X5 @ X6))))) & (X3 @ (^[X4 : a] : (X4)))) => (X3 @ X1))) => ! [X3 : (a > a) > $o] : ((! [X5 : a > a] : ((X3 @ X5) => (X3 @ (^[X6 : a] : (X0 @ (X5 @ X6))))) & (X3 @ (^[X4 : a] : (X4)))) => (X3 @ (^[X6 : a] : (X1 @ (X2 @ X6))))))),
% 13.46/3.03 file('/export/starexec/sandbox2/tmp/tmp.SA41B43JTl/DTF2THF_2015.p',cTHM135_pme)).
% 13.46/3.03 thf(f441,plain,(
% 13.46/3.03 ((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))) = $true) | ($true != (sK3 @ sK2)) | ~spl6_4),
% 13.46/3.03 inference(beta_eta_normalization,[status(thm)],[f440])).
% 13.46/3.03 thf(f440,plain,(
% 13.46/3.03 ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ sK1)) | ($true != ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ (^[Y0 : a]: (Y0)))) | ~spl6_4),
% 13.46/3.03 inference(trivial_inequality_removal,[status(thm)],[f418])).
% 13.46/3.03 thf(f418,plain,(
% 13.46/3.03 ($true != ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ (^[Y0 : a]: (Y0)))) | ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ sK1)) | ($true != $true) | ~spl6_4),
% 13.46/3.03 inference(superposition,[status(thm)],[f17,f316])).
% 13.46/3.03 thf(f316,plain,(
% 13.46/3.03 ($true = (sK3 @ (^[Y0 : a]: (sK0 @ (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (sK2 @ Y2))))) @ (sK2 @ Y0)))))) | ~spl6_4),
% 13.46/3.03 inference(beta_eta_normalization,[status(thm)],[f315])).
% 13.46/3.03 thf(f315,plain,(
% 13.46/3.03 ($true = (sK3 @ (^[Y0 : a]: (sK0 @ ((^[Y1 : a]: (sK4 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (sK2 @ Y3))))) @ (sK2 @ Y1))) @ Y0))))) | ~spl6_4),
% 13.46/3.03 inference(trivial_inequality_removal,[status(thm)],[f314])).
% 13.46/3.03 thf(f314,plain,(
% 13.46/3.03 ($true = (sK3 @ (^[Y0 : a]: (sK0 @ ((^[Y1 : a]: (sK4 @ (^[Y2 : a > a]: (sK3 @ (^[Y3 : a]: (Y2 @ (sK2 @ Y3))))) @ (sK2 @ Y1))) @ Y0))))) | ($true != $true) | ~spl6_4),
% 13.46/3.03 inference(superposition,[status(thm)],[f19,f312])).
% 13.46/3.03 thf(f312,plain,(
% 13.46/3.03 ($true = (sK3 @ (^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (sK2 @ Y2))))) @ (sK2 @ Y0))))) | ~spl6_4),
% 13.46/3.03 inference(subsumption_resolution,[status(thm)],[f294,f21])).
% 13.46/3.03 thf(f294,plain,(
% 13.46/3.03 ((sK3 @ (^[Y0 : a]: (sK1 @ (sK2 @ Y0)))) = $true) | ($true = (sK3 @ (^[Y0 : a]: (sK4 @ (^[Y1 : a > a]: (sK3 @ (^[Y2 : a]: (Y1 @ (sK2 @ Y2))))) @ (sK2 @ Y0))))) | ~spl6_4),
% 13.46/3.03 inference(beta_eta_normalization,[status(thm)],[f293])).
% 13.46/3.03 thf(f293,plain,(
% 13.46/3.03 ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ (sK4 @ (^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0)))))) | ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ sK1)) | ~spl6_4),
% 13.46/3.03 inference(trivial_inequality_removal,[status(thm)],[f272])).
% 13.46/3.03 thf(f272,plain,(
% 13.46/3.03 ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ (sK4 @ (^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0)))))) | ($true != $true) | ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (sK2 @ ((^[Y5 : a > a]: ((^[Y6 : a]: (Y6)))) @ Y3 @ Y4))))) @ Y1 @ Y2))))) @ Y0))) @ sK1)) | ~spl6_4),
% 13.46/3.03 inference(superposition,[status(thm)],[f18,f113])).
% 13.46/3.03 thf(f18,plain,(
% 13.46/3.03 ( ! [X5 : (a > a) > $o] : (($true != (X5 @ (^[Y0 : a]: (Y0)))) | ($true = (X5 @ (sK4 @ X5))) | ((X5 @ sK1) = $true)) )),
% 13.46/3.03 inference(cnf_transformation,[status(thm)],[f14])).
% 13.46/3.03 thf(f19,plain,(
% 13.46/3.03 ( ! [X4 : a > a] : (($true != (sK3 @ X4)) | ((sK3 @ (^[Y0 : a]: (sK0 @ (X4 @ Y0)))) = $true)) )),
% 13.46/3.03 inference(cnf_transformation,[status(thm)],[f14])).
% 13.46/3.03 thf(f17,plain,(
% 13.46/3.03 ( ! [X5 : (a > a) > $o] : (((X5 @ (^[Y0 : a]: (sK0 @ (sK4 @ X5 @ Y0)))) != $true) | ($true != (X5 @ (^[Y0 : a]: (Y0)))) | ((X5 @ sK1) = $true)) )),
% 13.46/3.03 inference(cnf_transformation,[status(thm)],[f14])).
% 13.46/3.03 thf(f266,plain,(
% 13.46/3.03 spl6_4 | ~spl6_3),
% 13.46/3.03 inference(avatar_split_clause,[status(thm)],[f265,f107,f111])).
% 13.46/3.03 thf(f107,definition,(
% 13.46/3.03 spl6_3 <=> ((sK3 @ (sK5 @ sK3)) = $true)),
% 13.46/3.03 introduced(definition,[new_symbols(naming,[spl6_3])],[avatar_definition])).
% 13.46/3.03 thf(f265,plain,(
% 13.46/3.03 ($true = (sK3 @ sK2)) | ~spl6_3),
% 13.46/3.03 inference(subsumption_resolution,[status(thm)],[f254,f20])).
% 13.46/3.03 thf(f20,plain,(
% 13.46/3.03 ($true = (sK3 @ (^[Y0 : a]: (Y0))))),
% 13.46/3.03 inference(cnf_transformation,[status(thm)],[f14])).
% 13.46/3.03 thf(f254,plain,(
% 13.46/3.03 ($true != (sK3 @ (^[Y0 : a]: (Y0)))) | ($true = (sK3 @ sK2)) | ~spl6_3),
% 13.46/3.03 inference(beta_eta_normalization,[status(thm)],[f253])).
% 13.46/3.03 thf(f253,plain,(
% 13.46/3.03 ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))) @ sK2)) | (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))) @ (^[Y0 : a]: (Y0))) != $true) | ~spl6_3),
% 13.46/3.03 inference(trivial_inequality_removal,[status(thm)],[f248])).
% 13.46/3.03 thf(f248,plain,(
% 13.46/3.03 (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))) @ (^[Y0 : a]: (Y0))) != $true) | ($true != $true) | ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))) @ sK2)) | ~spl6_3),
% 13.46/3.03 inference(superposition,[status(thm)],[f16,f118])).
% 13.46/3.03 thf(f118,plain,(
% 13.46/3.03 ($true = (sK3 @ (^[Y0 : a]: (sK0 @ (sK5 @ sK3 @ Y0))))) | ~spl6_3),
% 13.46/3.03 inference(trivial_inequality_removal,[status(thm)],[f116])).
% 13.46/3.03 thf(f116,plain,(
% 13.46/3.03 ($true = (sK3 @ (^[Y0 : a]: (sK0 @ (sK5 @ sK3 @ Y0))))) | ($true != $true) | ~spl6_3),
% 13.46/3.03 inference(superposition,[status(thm)],[f19,f109])).
% 13.46/3.03 thf(f109,plain,(
% 13.46/3.03 ((sK3 @ (sK5 @ sK3)) = $true) | ~spl6_3),
% 13.46/3.03 inference(avatar_component_clause,[status(thm)],[f107])).
% 13.46/3.03 thf(f16,plain,(
% 13.46/3.03 ( ! [X7 : (a > a) > $o] : (((X7 @ (^[Y0 : a]: (sK0 @ (sK5 @ X7 @ Y0)))) != $true) | ($true = (X7 @ sK2)) | ($true != (X7 @ (^[Y0 : a]: (Y0))))) )),
% 13.46/3.03 inference(cnf_transformation,[status(thm)],[f14])).
% 13.46/3.03 thf(f114,plain,(
% 13.46/3.03 spl6_3 | spl6_4),
% 13.46/3.03 inference(avatar_split_clause,[status(thm)],[f77,f111,f107])).
% 13.46/3.03 thf(f77,plain,(
% 13.46/3.03 ((sK3 @ (sK5 @ sK3)) = $true) | ($true = (sK3 @ sK2))),
% 13.46/3.03 inference(beta_eta_normalization,[status(thm)],[f76])).
% 13.46/3.03 thf(f76,plain,(
% 13.46/3.03 ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))) @ sK2)) | (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))) @ (sK5 @ (^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))))) = $true)),
% 13.46/3.03 inference(trivial_inequality_removal,[status(thm)],[f58])).
% 13.46/3.03 thf(f58,plain,(
% 13.46/3.03 (((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))) @ (sK5 @ (^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))))) = $true) | ($true = ((^[Y0 : a > a]: (sK3 @ ((^[Y1 : a > a]: ((^[Y2 : a]: (Y1 @ ((^[Y3 : a > a]: ((^[Y4 : a]: (Y4)))) @ Y1 @ Y2))))) @ Y0))) @ sK2)) | ($true != $true)),
% 13.46/3.03 inference(superposition,[status(thm)],[f15,f20])).
% 13.46/3.03 thf(f15,plain,(
% 13.46/3.03 ( ! [X7 : (a > a) > $o] : (($true != (X7 @ (^[Y0 : a]: (Y0)))) | ($true = (X7 @ (sK5 @ X7))) | ($true = (X7 @ sK2))) )),
% 13.46/3.03 inference(cnf_transformation,[status(thm)],[f14])).
% 13.46/3.03 % SZS output end Proof for DTF2THF_2015
% 13.46/3.03 % (2221)------------------------------
% 13.46/3.03 % (2221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.46/3.03 % (2221)Termination reason: Refutation
% 13.46/3.03
% 13.46/3.03 % (2221)Memory used [KB]: 6268
% 13.46/3.03 % (2221)Time elapsed: 0.106 s
% 13.46/3.03 % (2221)Instructions burned: 216 (million)
% 13.46/3.03 % (2221)------------------------------
% 13.46/3.03 % (2221)------------------------------
% 13.46/3.03 % (2112)Success in time 1.715 s
%------------------------------------------------------------------------------