%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU967^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 09:37:51 AM UTC 2026
% Result : Theorem 1.36s 1.15s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 148 ( 38 equ; 0 cnn)
% Maximal formula atoms : 5 ( 9 avg)
% Number of connectives : 540 ( 27 ~; 9 |; 27 &; 426 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 112 ( 112 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 3 con; 0-2 aty)
% ( 0 !!; 49 ??; 0 @@+; 0 @@-)
% Number of variables : 193 ( 132 ^; 16 !; 45 ?; 193 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cY_0: ( ( $i > $i ) > $o ) > $i ).
thf(func_def_1,type,
cG_0: ( ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_2,type,
cP_0: $i > $o ).
thf(func_def_3,type,
cH_0: ( ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_11,type,
sK0: ( ( $i > $i ) > $i > $o ) > $i ).
thf(func_def_12,type,
sK1: ( ( $i > $i ) > $i > $o ) > $i ).
thf(func_def_15,type,
ph3:
!>[X0: $tType] : X0 ).
thf(f28,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f27]) ).
thf(f27,plain,
$true = $false,
inference(beta_eta_normalization,[status(thm)],[f22]) ).
thf(f22,plain,
( ( ^ [Y0: $i > $i,Y1: $i] : $false
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ( ^ [Y1: $i > $i,Y2: $i] : $false
@ Y0 ) ) )
@ ( sK0
@ ^ [Y0: $i > $i,Y1: $i] : $false ) )
= $true ),
inference(primitive_instantiation,[status(thm)],[f18]) ).
thf(f18,plain,
! [X0: ( $i > $i ) > $i > $o] :
( ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] : ( ?? @ $i @ ( X0 @ Y0 ) ) )
@ ( sK0 @ X0 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f16]) ).
thf(f16,plain,
! [X0: ( $i > $i ) > $i > $o] :
( ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ ( sK0 @ X0 ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: ( $i > $i ) > $i > $o] :
( ( ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ ( sK0 @ X0 ) )
= $true )
& ( ! [X2: $i] :
( ( X0
@ ^ [Y0: $i] :
( cG_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ ( cH_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ Y0 ) )
@ X2 )
!= $true )
| ( ( $true
= ( cP_0
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
& ( ( cP_0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) )
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
!= $true ) ) )
& ( ( X0
@ ( cH_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ ( sK1 @ X0 ) )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10]) ).
thf(f10,plain,
! [X0: ( $i > $i ) > $i > $o] :
( ? [X1: $i] :
( ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X1 )
= $true )
=> ( ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ ( sK0 @ X0 ) )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11,plain,
! [X0: ( $i > $i ) > $i > $o] :
( ? [X3: $i] :
( ( X0
@ ( cH_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X3 )
= $true )
=> ( ( X0
@ ( cH_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ ( sK1 @ X0 ) )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
! [X0: ( $i > $i ) > $i > $o] :
( ? [X1: $i] :
( ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X1 )
= $true )
& ( ! [X2: $i] :
( ( X0
@ ^ [Y0: $i] :
( cG_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ ( cH_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ Y0 ) )
@ X2 )
!= $true )
| ( ( $true
= ( cP_0
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
& ( ( cP_0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) )
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
!= $true ) ) )
& ? [X3: $i] :
( ( X0
@ ( cH_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X3 )
= $true ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,plain,
! [X0: ( $i > $i ) > $i > $o] :
( ? [X2: $i] :
( ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X2 )
= $true )
& ( ! [X3: $i] :
( ( X0
@ ^ [Y0: $i] :
( cG_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ ( cH_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ Y0 ) )
@ X3 )
!= $true )
| ( ( $true
= ( cP_0
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
& ( ( cP_0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) )
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
!= $true ) ) )
& ? [X1: $i] :
( $true
= ( X0
@ ( cH_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
! [X0: ( $i > $i ) > $i > $o] :
( ( ( ( $true
= ( cP_0
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
& ( ( cP_0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) )
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
!= $true ) )
| ~ ? [X3: $i] :
( ( X0
@ ^ [Y0: $i] :
( cG_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ ( cH_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ Y0 ) )
@ X3 )
= $true ) )
& ? [X1: $i] :
( $true
= ( X0
@ ( cH_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X1 ) )
& ? [X2: $i] :
( ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X2 )
= $true ) ),
inference(flattening,[status(thm)],[f6]) ).
thf(f6,plain,
~ ~ ! [X0: ( $i > $i ) > $i > $o] :
( ? [X1: $i] :
( $true
= ( X0
@ ( cH_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X1 ) )
& ? [X2: $i] :
( ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X2 )
= $true )
& ( ( ( $true
= ( cP_0
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
& ( ( cP_0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) )
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
!= $true ) )
| ~ ? [X3: $i] :
( ( X0
@ ^ [Y0: $i] :
( cG_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ ( cH_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ Y0 ) )
@ X3 )
= $true ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,plain,
~ ~ ! [X0: ( $i > $i ) > $i > $o] :
( ? [X1: $i] :
( $true
= ( X0
@ ( cH_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X1 ) )
& ? [X4: $i] :
( $true
= ( X0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) )
@ X4 ) )
& ( ( ( $true
= ( cP_0
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
& ( ( cP_0
@ ( cG_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) )
@ ( cY_0
@ ^ [Y0: $i > $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ) )
!= $true ) )
| ~ ? [X13: $i] :
( $true
= ( X0
@ ^ [Y0: $i] :
( cG_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ ( cH_0
@ ^ [Y1: $i > $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( X0 @ Y1 @ Y2 ) )
@ Y0 ) )
@ X13 ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ~ ! [X0: ( $i > $i ) > $i > $o] :
( ? [X1: $i] :
( X0
@ ( cH_0
@ ^ [X2: $i > $i] :
? [X3: $i] : ( X0 @ X2 @ X3 ) )
@ X1 )
& ? [X4: $i] :
( X0
@ ( cG_0
@ ^ [X5: $i > $i] :
? [X6: $i] : ( X0 @ X5 @ X6 ) )
@ X4 )
& ( ( ( cP_0
@ ( cY_0
@ ^ [X7: $i > $i] :
? [X8: $i] : ( X0 @ X7 @ X8 ) ) )
& ~ ( cP_0
@ ( cG_0
@ ^ [X9: $i > $i] :
? [X10: $i] : ( X0 @ X9 @ X10 )
@ ( cY_0
@ ^ [X11: $i > $i] :
? [X12: $i] : ( X0 @ X11 @ X12 ) ) ) ) )
| ~ ? [X13: $i] :
( X0
@ ^ [X14: $i] :
( cG_0
@ ^ [X15: $i > $i] :
? [X16: $i] : ( X0 @ X15 @ X16 )
@ ( cH_0
@ ^ [X17: $i > $i] :
? [X18: $i] : ( X0 @ X17 @ X18 )
@ X14 ) )
@ X13 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ~ ! [X0: ( $i > $i ) > $i > $o] :
( ? [X1: $i] :
( X0
@ ( cH_0
@ ^ [X2: $i > $i] :
? [X3: $i] : ( X0 @ X2 @ X3 ) )
@ X1 )
& ? [X1: $i] :
( X0
@ ( cG_0
@ ^ [X2: $i > $i] :
? [X3: $i] : ( X0 @ X2 @ X3 ) )
@ X1 )
& ( ( ( cP_0
@ ( cY_0
@ ^ [X2: $i > $i] :
? [X1: $i] : ( X0 @ X2 @ X1 ) ) )
& ~ ( cP_0
@ ( cG_0
@ ^ [X2: $i > $i] :
? [X1: $i] : ( X0 @ X2 @ X1 )
@ ( cY_0
@ ^ [X2: $i > $i] :
? [X1: $i] : ( X0 @ X2 @ X1 ) ) ) ) )
| ~ ? [X1: $i] :
( X0
@ ^ [X4: $i] :
( cG_0
@ ^ [X2: $i > $i] :
? [X3: $i] : ( X0 @ X2 @ X3 )
@ ( cH_0
@ ^ [X2: $i > $i] :
? [X3: $i] : ( X0 @ X2 @ X3 )
@ X4 ) )
@ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
~ ! [X0: ( $i > $i ) > $i > $o] :
( ? [X1: $i] :
( X0
@ ( cH_0
@ ^ [X2: $i > $i] :
? [X3: $i] : ( X0 @ X2 @ X3 ) )
@ X1 )
& ? [X1: $i] :
( X0
@ ( cG_0
@ ^ [X2: $i > $i] :
? [X3: $i] : ( X0 @ X2 @ X3 ) )
@ X1 )
& ( ( ( cP_0
@ ( cY_0
@ ^ [X2: $i > $i] :
? [X1: $i] : ( X0 @ X2 @ X1 ) ) )
& ~ ( cP_0
@ ( cG_0
@ ^ [X2: $i > $i] :
? [X1: $i] : ( X0 @ X2 @ X1 )
@ ( cY_0
@ ^ [X2: $i > $i] :
? [X1: $i] : ( X0 @ X2 @ X1 ) ) ) ) )
| ~ ? [X1: $i] :
( X0
@ ^ [X4: $i] :
( cG_0
@ ^ [X2: $i > $i] :
? [X3: $i] : ( X0 @ X2 @ X3 )
@ ( cH_0
@ ^ [X2: $i > $i] :
? [X3: $i] : ( X0 @ X2 @ X3 )
@ X4 ) )
@ X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JGnLQFDlYa/DTF2THF_26218.p',cBUGWFFA_pme) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU967^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.31 % Computer : n014.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Tue Feb 24 12:37:57 EST 2026
% 0.13/0.31 % CPUTime :
% 0.13/0.31 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.39 ---- Original DTF file ---
% 0.19/0.40 thf(spec,logic,$$dhol).
% 0.19/0.40 %------------------------------------------------------------------------------
% 0.19/0.40 % File : SEU967^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.40 % Domain : Set Theory (Functions)
% 0.19/0.40 % Problem : TPS problem from FUNCTION-THMS
% 0.19/0.40 % Version : Especial.
% 0.19/0.40 % English :
% 0.19/0.40
% 0.19/0.40 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.40 % Source : [Bro09]
% 0.19/0.40 % Names : tps_1061 [Bro09]
% 0.19/0.40
% 0.19/0.40 % Status : Theorem
% 0.19/0.40 % Rating : 0.17 v9.1.0, 0.12 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.17 v7.4.0, 0.11 v7.3.0, 0.20 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.33 v6.1.0, 0.17 v6.0.0, 0.00 v5.4.0, 0.25 v5.3.0, 0.50 v5.2.0, 0.25 v5.0.0, 0.00 v4.0.0
% 0.19/0.40 % Syntax : Number of formulae : 5 ( 0 unt; 4 typ; 0 def)
% 0.19/0.40 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.19/0.40 % Maximal formula atoms : 2 ( 2 avg)
% 0.19/0.40 % Number of connectives : 39 ( 3 ~; 1 |; 3 &; 32 @)
% 0.19/0.40 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.40 % Maximal formula depth : 18 ( 18 avg)
% 0.19/0.40 % Number of types : 2 ( 0 usr)
% 0.19/0.40 % Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% 0.19/0.40 % Number of symbols : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.19/0.40 % Number of variables : 19 ( 8 ^; 1 !; 10 ?; 19 :)
% 0.19/0.40 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.40
% 0.19/0.40 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.40 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.40 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.40 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.40 %------------------------------------------------------------------------------
% 0.19/0.40 thf(cY_0,type,
% 0.19/0.40 cY_0: ( ( $i > $i ) > $o ) > $i ).
% 0.19/0.40
% 0.19/0.40 thf(cG_0,type,
% 0.19/0.40 cG_0: ( ( $i > $i ) > $o ) > $i > $i ).
% 0.19/0.40
% 0.19/0.40 thf(cP_0,type,
% 0.19/0.40 cP_0: $i > $o ).
% 0.19/0.40
% 0.19/0.40 thf(cH_0,type,
% 0.19/0.40 cH_0: ( ( $i > $i ) > $o ) > $i > $i ).
% 0.19/0.40
% 0.19/0.40 thf(cBUGWFFA_pme,conjecture,
% 0.19/0.40 ~ ! [Xm_5: ( $i > $i ) > $i > $o] :
% 0.19/0.40 ( ? [Xw_2: $i] :
% 0.19/0.40 ( Xm_5
% 0.19/0.40 @ ( cG_0
% 0.19/0.40 @ ^ [Xw_1144: $i > $i] :
% 0.19/0.40 ? [Xw_20: $i] : ( Xm_5 @ Xw_1144 @ Xw_20 ) )
% 0.19/0.40 @ Xw_2 )
% 0.19/0.40 & ? [Xw_2: $i] :
% 0.19/0.40 ( Xm_5
% 0.19/0.40 @ ( cH_0
% 0.19/0.40 @ ^ [Xw_1144: $i > $i] :
% 0.19/0.40 ? [Xw_20: $i] : ( Xm_5 @ Xw_1144 @ Xw_20 ) )
% 0.19/0.40 @ Xw_2 )
% 0.19/0.40 & ( ~ ? [Xw_2: $i] :
% 0.19/0.40 ( Xm_5
% 0.19/0.40 @ ^ [Xx: $i] :
% 0.19/0.40 ( cG_0
% 0.19/0.40 @ ^ [Xw_1144: $i > $i] :
% 0.19/0.40 ? [Xw_20: $i] : ( Xm_5 @ Xw_1144 @ Xw_20 )
% 0.19/0.40 @ ( cH_0
% 0.19/0.40 @ ^ [Xw_1144: $i > $i] :
% 0.19/0.40 ? [Xw_20: $i] : ( Xm_5 @ Xw_1144 @ Xw_20 )
% 0.19/0.40 @ Xx ) )
% 0.19/0.40 @ Xw_2 )
% 0.19/0.40 | ( ( cP_0
% 0.19/0.40 @ ( cY_0
% 0.19/0.40 @ ^ [Xw_1144: $i > $i] :
% 0.19/0.40 ? [Xw_2: $i] : ( Xm_5 @ Xw_1144 @ Xw_2 ) ) )
% 0.19/0.40 & ~ ( cP_0
% 0.19/0.40 @ ( cG_0
% 0.19/0.40 @ ^ [Xw_1144: $i > $i] :
% 0.19/0.40 ? [Xw_2: $i] : ( Xm_5 @ Xw_1144 @ Xw_2 )
% 0.19/0.40 @ ( cY_0
% 0.19/0.40 @ ^ [Xw_1144: $i > $i] :
% 0.19/0.40 ? [Xw_2: $i] : ( Xm_5 @ Xw_1144 @ Xw_2 ) ) ) ) ) ) ) ).
% 0.19/0.40
% 0.19/0.40 %------------------------------------------------------------------------------
% 0.19/0.40 ------------------------
% 1.36/1.12 ---- Embedded in THF ---
% 1.36/1.12 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.36/1.12 %%% Generated on Tue Feb 24 12:37:58 EST 2026
% 1.36/1.12 %%% using '$$dhol' embedding, version 1.3.0.
% 1.36/1.12 %%% Logic specification used:
% 1.36/1.12 %%% thf(spec, logic, $$dhol).
% 1.36/1.12
% 1.36/1.12 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.JGnLQFDlYa/DTF2DTF26218.p
% See solution above
% 1.36/1.12 ------------------------
% 1.36/1.13 ---- Cleaned THF ---
% 1.36/1.13 thf(cY_0,type,
% 1.36/1.13 cY_0: ( ( $i > $i ) > $o ) > $i ).
% 1.36/1.13
% 1.36/1.13 thf(cG_0,type,
% 1.36/1.13 cG_0: ( ( $i > $i ) > $o ) > $i > $i ).
% 1.36/1.13
% 1.36/1.13 thf(cP_0,type,
% 1.36/1.13 cP_0: $i > $o ).
% 1.36/1.13
% 1.36/1.13 thf(cH_0,type,
% 1.36/1.13 cH_0: ( ( $i > $i ) > $o ) > $i > $i ).
% 1.36/1.13
% 1.36/1.13 thf(cBUGWFFA_pme,conjecture,
% 1.36/1.13 ~ ! [Xm_5: ( $i > $i ) > $i > $o] :
% 1.36/1.13 ( ? [Xw_2: $i] :
% 1.36/1.13 ( Xm_5
% 1.36/1.13 @ ( cG_0
% 1.36/1.13 @ ^ [Xw_1144: $i > $i] :
% 1.36/1.13 ? [Xw_20: $i] : ( Xm_5 @ Xw_1144 @ Xw_20 ) )
% 1.36/1.13 @ Xw_2 )
% 1.36/1.13 & ? [Xw_2: $i] :
% 1.36/1.13 ( Xm_5
% 1.36/1.13 @ ( cH_0
% 1.36/1.13 @ ^ [Xw_1144: $i > $i] :
% 1.36/1.13 ? [Xw_20: $i] : ( Xm_5 @ Xw_1144 @ Xw_20 ) )
% 1.36/1.13 @ Xw_2 )
% 1.36/1.13 & ( ~ ? [Xw_2: $i] :
% 1.36/1.13 ( Xm_5
% 1.36/1.13 @ ^ [Xx: $i] :
% 1.36/1.13 ( cG_0
% 1.36/1.13 @ ^ [Xw_1144: $i > $i] :
% 1.36/1.13 ? [Xw_20: $i] : ( Xm_5 @ Xw_1144 @ Xw_20 )
% 1.36/1.13 @ ( cH_0
% 1.36/1.13 @ ^ [Xw_1144: $i > $i] :
% 1.36/1.13 ? [Xw_20: $i] : ( Xm_5 @ Xw_1144 @ Xw_20 )
% 1.36/1.13 @ Xx ) )
% 1.36/1.13 @ Xw_2 )
% 1.36/1.13 | ( ( cP_0
% 1.36/1.13 @ ( cY_0
% 1.36/1.13 @ ^ [Xw_1144: $i > $i] :
% 1.36/1.13 ? [Xw_2: $i] : ( Xm_5 @ Xw_1144 @ Xw_2 ) ) )
% 1.36/1.13 & ~ ( cP_0
% 1.36/1.13 @ ( cG_0
% 1.36/1.13 @ ^ [Xw_1144: $i > $i] :
% 1.36/1.13 ? [Xw_2: $i] : ( Xm_5 @ Xw_1144 @ Xw_2 )
% 1.36/1.13 @ ( cY_0
% 1.36/1.13 @ ^ [Xw_1144: $i > $i] :
% 1.36/1.13 ? [Xw_2: $i] : ( Xm_5 @ Xw_1144 @ Xw_2 ) ) ) ) ) ) ) ).
% 1.36/1.13 ------------------------
% 1.36/1.14 % (26323)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_26218 for (3000ds/183Mi)
% 1.36/1.14 % (26323)First to succeed.
% 1.36/1.15 % (26323)Refutation found. Thanks to Tanya!
% 1.36/1.15 % SZS status Theorem for DTF2THF_26218
% 1.36/1.15 % SZS output start Proof for DTF2THF_26218
% 1.36/1.15 thf(func_def_0, type, cY_0: (($i > $i) > $o) > $i).
% 1.36/1.15 thf(func_def_1, type, cG_0: (($i > $i) > $o) > $i > $i).
% 1.36/1.15 thf(func_def_2, type, cP_0: $i > $o).
% 1.36/1.15 thf(func_def_3, type, cH_0: (($i > $i) > $o) > $i > $i).
% 1.36/1.15 thf(func_def_11, type, sK0: (($i > $i) > $i > $o) > $i).
% 1.36/1.15 thf(func_def_12, type, sK1: (($i > $i) > $i > $o) > $i).
% 1.36/1.15 thf(func_def_15, type, ph3: !>[X0: $tType]:(X0)).
% 1.36/1.15 thf(f28,plain,(
% 1.36/1.15 $false),
% 1.36/1.15 inference(trivial_inequality_removal,[status(thm)],[f27])).
% 1.36/1.15 thf(f27,plain,(
% 1.36/1.15 ($true = $false)),
% 1.36/1.15 inference(beta_eta_normalization,[status(thm)],[f22])).
% 1.36/1.15 thf(f22,plain,(
% 1.36/1.15 (((^[Y0 : $i > $i]: ((^[Y1 : $i]: ($false)))) @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ ((^[Y1 : $i > $i]: ((^[Y2 : $i]: ($false)))) @ Y0)))) @ (sK0 @ (^[Y0 : $i > $i]: ((^[Y1 : $i]: ($false)))))) = $true)),
% 1.36/1.15 inference(primitive_instantiation,[status(thm)],[f18])).
% 1.36/1.15 thf(f18,plain,(
% 1.36/1.15 ( ! [X0 : ($i > $i) > $i > $o] : (((X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (X0 @ Y0)))) @ (sK0 @ X0)) = $true)) )),
% 1.36/1.15 inference(beta_eta_normalization,[status(thm)],[f16])).
% 1.36/1.15 thf(f16,plain,(
% 1.36/1.15 ( ! [X0 : ($i > $i) > $i > $o] : (((X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ (sK0 @ X0)) = $true)) )),
% 1.36/1.15 inference(cnf_transformation,[status(thm)],[f12])).
% 1.36/1.15 thf(f12,plain,(
% 1.36/1.15 ! [X0 : ($i > $i) > $i > $o] : (((X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ (sK0 @ X0)) = $true) & (! [X2 : $i] : ((X0 @ (^[Y0 : $i]: (cG_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ (cH_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ Y0))) @ X2) != $true) | (($true = (cP_0 @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) & ((cP_0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))) @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) != $true))) & ((X0 @ (cH_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ (sK1 @ X0)) = $true))),
% 1.36/1.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10])).
% 1.36/1.15 thf(f10,plain,(
% 1.36/1.15 ! [X0 : ($i > $i) > $i > $o] : (? [X1 : $i] : ((X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X1) = $true) => ((X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ (sK0 @ X0)) = $true))),
% 1.36/1.15 introduced(definition,[],[choice_axiom])).
% 1.36/1.15 thf(f11,plain,(
% 1.36/1.15 ! [X0 : ($i > $i) > $i > $o] : (? [X3 : $i] : ((X0 @ (cH_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X3) = $true) => ((X0 @ (cH_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ (sK1 @ X0)) = $true))),
% 1.36/1.15 introduced(definition,[],[choice_axiom])).
% 1.36/1.15 thf(f9,plain,(
% 1.36/1.15 ! [X0 : ($i > $i) > $i > $o] : (? [X1 : $i] : ((X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X1) = $true) & (! [X2 : $i] : ((X0 @ (^[Y0 : $i]: (cG_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ (cH_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ Y0))) @ X2) != $true) | (($true = (cP_0 @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) & ((cP_0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))) @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) != $true))) & ? [X3 : $i] : ((X0 @ (cH_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X3) = $true))),
% 1.36/1.15 inference(rectify,[status(thm)],[f8])).
% 1.36/1.15 thf(f8,plain,(
% 1.36/1.15 ! [X0 : ($i > $i) > $i > $o] : (? [X2 : $i] : ((X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X2) = $true) & (! [X3 : $i] : ((X0 @ (^[Y0 : $i]: (cG_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ (cH_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ Y0))) @ X3) != $true) | (($true = (cP_0 @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) & ((cP_0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))) @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) != $true))) & ? [X1 : $i] : ($true = (X0 @ (cH_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X1)))),
% 1.36/1.15 inference(ennf_transformation,[status(thm)],[f7])).
% 1.36/1.15 thf(f7,plain,(
% 1.36/1.15 ! [X0 : ($i > $i) > $i > $o] : (((($true = (cP_0 @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) & ((cP_0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))) @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) != $true)) | ~? [X3 : $i] : ((X0 @ (^[Y0 : $i]: (cG_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ (cH_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ Y0))) @ X3) = $true)) & ? [X1 : $i] : ($true = (X0 @ (cH_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X1)) & ? [X2 : $i] : ((X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X2) = $true))),
% 1.36/1.15 inference(flattening,[status(thm)],[f6])).
% 1.36/1.15 thf(f6,plain,(
% 1.36/1.15 ~~! [X0 : ($i > $i) > $i > $o] : (? [X1 : $i] : ($true = (X0 @ (cH_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X1)) & ? [X2 : $i] : ((X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X2) = $true) & ((($true = (cP_0 @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) & ~((cP_0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))) @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) = $true)) | ~? [X3 : $i] : ((X0 @ (^[Y0 : $i]: (cG_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ (cH_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ Y0))) @ X3) = $true)))),
% 1.36/1.15 inference(rectify,[status(thm)],[f5])).
% 1.36/1.15 thf(f5,plain,(
% 1.36/1.15 ~~! [X0 : ($i > $i) > $i > $o] : (? [X1 : $i] : ($true = (X0 @ (cH_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X1)) & ? [X4 : $i] : ($true = (X0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))) @ X4)) & ((($true = (cP_0 @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) & ~((cP_0 @ (cG_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))) @ (cY_0 @ (^[Y0 : $i > $i]: (?? @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1))))))) = $true)) | ~? [X13 : $i] : ($true = (X0 @ (^[Y0 : $i]: (cG_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ (cH_0 @ (^[Y1 : $i > $i]: (?? @ $i @ (^[Y2 : $i]: (X0 @ Y1 @ Y2)))) @ Y0))) @ X13))))),
% 1.36/1.15 inference(fool_elimination,[status(thm)],[f4])).
% 1.36/1.15 thf(f4,plain,(
% 1.36/1.15 ~~! [X0 : ($i > $i) > $i > $o] : (? [X1 : $i] : (X0 @ (cH_0 @ (^[X2 : $i > $i] : (? [X3 : $i] : (X0 @ X2 @ X3)))) @ X1) & ? [X4 : $i] : (X0 @ (cG_0 @ (^[X5 : $i > $i] : (? [X6 : $i] : (X0 @ X5 @ X6)))) @ X4) & (((cP_0 @ (cY_0 @ (^[X7 : $i > $i] : (? [X8 : $i] : (X0 @ X7 @ X8))))) & ~(cP_0 @ (cG_0 @ (^[X9 : $i > $i] : (? [X10 : $i] : (X0 @ X9 @ X10))) @ (cY_0 @ (^[X11 : $i > $i] : (? [X12 : $i] : (X0 @ X11 @ X12))))))) | ~? [X13 : $i] : (X0 @ (^[X14 : $i] : (cG_0 @ (^[X15 : $i > $i] : (? [X16 : $i] : (X0 @ X15 @ X16))) @ (cH_0 @ (^[X17 : $i > $i] : (? [X18 : $i] : (X0 @ X17 @ X18))) @ X14))) @ X13)))),
% 1.36/1.15 inference(rectify,[status(thm)],[f2])).
% 1.36/1.15 thf(f2,negated_conjecture,(
% 1.36/1.15 ~~! [X0 : ($i > $i) > $i > $o] : (? [X1 : $i] : (X0 @ (cH_0 @ (^[X2 : $i > $i] : (? [X3 : $i] : (X0 @ X2 @ X3)))) @ X1) & ? [X1 : $i] : (X0 @ (cG_0 @ (^[X2 : $i > $i] : (? [X3 : $i] : (X0 @ X2 @ X3)))) @ X1) & (((cP_0 @ (cY_0 @ (^[X2 : $i > $i] : (? [X1 : $i] : (X0 @ X2 @ X1))))) & ~(cP_0 @ (cG_0 @ (^[X2 : $i > $i] : (? [X1 : $i] : (X0 @ X2 @ X1))) @ (cY_0 @ (^[X2 : $i > $i] : (? [X1 : $i] : (X0 @ X2 @ X1))))))) | ~? [X1 : $i] : (X0 @ (^[X4 : $i] : (cG_0 @ (^[X2 : $i > $i] : (? [X3 : $i] : (X0 @ X2 @ X3))) @ (cH_0 @ (^[X2 : $i > $i] : (? [X3 : $i] : (X0 @ X2 @ X3))) @ X4))) @ X1)))),
% 1.36/1.15 inference(negated_conjecture,[status(cth)],[f1])).
% 1.36/1.15 thf(f1,conjecture,(
% 1.36/1.15 ~! [X0 : ($i > $i) > $i > $o] : (? [X1 : $i] : (X0 @ (cH_0 @ (^[X2 : $i > $i] : (? [X3 : $i] : (X0 @ X2 @ X3)))) @ X1) & ? [X1 : $i] : (X0 @ (cG_0 @ (^[X2 : $i > $i] : (? [X3 : $i] : (X0 @ X2 @ X3)))) @ X1) & (((cP_0 @ (cY_0 @ (^[X2 : $i > $i] : (? [X1 : $i] : (X0 @ X2 @ X1))))) & ~(cP_0 @ (cG_0 @ (^[X2 : $i > $i] : (? [X1 : $i] : (X0 @ X2 @ X1))) @ (cY_0 @ (^[X2 : $i > $i] : (? [X1 : $i] : (X0 @ X2 @ X1))))))) | ~? [X1 : $i] : (X0 @ (^[X4 : $i] : (cG_0 @ (^[X2 : $i > $i] : (? [X3 : $i] : (X0 @ X2 @ X3))) @ (cH_0 @ (^[X2 : $i > $i] : (? [X3 : $i] : (X0 @ X2 @ X3))) @ X4))) @ X1)))),
% 1.36/1.15 file('/export/starexec/sandbox/tmp/tmp.JGnLQFDlYa/DTF2THF_26218.p',cBUGWFFA_pme)).
% 1.36/1.15 % SZS output end Proof for DTF2THF_26218
% 1.36/1.15 % (26323)------------------------------
% 1.36/1.15 % (26323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.15 % (26323)Termination reason: Refutation
% 1.36/1.15
% 1.36/1.15 % (26323)Memory used [KB]: 5500
% 1.36/1.15 % (26323)Time elapsed: 0.004 s
% 1.36/1.15 % (26323)Instructions burned: 4 (million)
% 1.36/1.15 % (26323)------------------------------
% 1.36/1.15 % (26323)------------------------------
% 1.36/1.15 % (26322)Success in time 0.013 s
%------------------------------------------------------------------------------