%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV167^5 : 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 : n009.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 09:40:27 AM UTC 2026
% Result : Theorem 1.56s 1.79s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 12 unt; 0 typ; 2 def)
% Number of atoms : 138 ( 84 equ; 1 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 370 ( 41 ~; 31 |; 17 &; 260 @)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 226 ( 226 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 9 usr; 10 con; 0-4 aty)
% ( 0 !!; 0 ??; 2 @@+; 0 @@-)
% Number of variables : 239 ( 142 ^; 74 !; 23 ?; 239 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_7,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_8,type,
sK0: a > a > a > a > $o ).
thf(func_def_9,type,
sK1: a ).
thf(func_def_10,type,
sK2: a ).
thf(func_def_11,type,
sK3: a ).
thf(func_def_12,type,
sK4: a ).
thf(func_def_15,type,
ph6:
!>[X0: $tType] : X0 ).
thf(f322,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f24,f166,f321]) ).
thf(f321,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[status(thm)],[f320]) ).
thf(f320,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(subsumption_resolution,[status(thm)],[f302,f23]) ).
thf(f23,plain,
( ( sK4 != sK1 )
| spl5_2 ),
inference(avatar_component_clause,[status(thm)],[f21]) ).
thf(f21,definition,
( spl5_2
<=> ( sK4 = sK1 ) ),
introduced(definition,[new_symbols(naming,[spl5_2])],[avatar_definition]) ).
thf(f302,plain,
( ( sK4 = sK1 )
| ~ spl5_1 ),
inference(beta_eta_normalization,[status(thm)],[f282]) ).
thf(f282,plain,
( ( ( ^ [Y0: a,Y1: a] : Y1
@ sK2
@ sK4 )
= ( ^ [Y0: a,Y1: a] : Y1
@ sK2
@ sK1 ) )
| ~ spl5_1 ),
inference(superposition,[status(thm)],[f208,f18]) ).
thf(f18,plain,
( ( sK2 = sK3 )
| ~ spl5_1 ),
inference(avatar_component_clause,[status(thm)],[f17]) ).
thf(f17,definition,
( spl5_1
<=> ( sK2 = sK3 ) ),
introduced(definition,[new_symbols(naming,[spl5_1])],[avatar_definition]) ).
thf(f208,plain,
( ! [X0: ( a > a > a ) > a,X1: a > a > a] :
( ( X1 @ sK2 @ sK4 )
= ( X1 @ ( X1 @ sK2 @ ( X0 @ X1 ) ) @ sK1 ) )
| ~ spl5_1 ),
inference(forward_demodulation,[status(thm)],[f130,f18]) ).
thf(f130,plain,
! [X0: ( a > a > a ) > a,X1: a > a > a] :
( ( X1 @ sK2 @ sK4 )
= ( X1 @ ( X1 @ sK3 @ ( X0 @ X1 ) ) @ sK1 ) ),
inference(beta_eta_normalization,[status(thm)],[f126]) ).
thf(f126,plain,
! [X0: ( a > a > a ) > a,X1: a > a > a] :
( ( ^ [Y0: a > a > a] : ( Y0 @ ( Y0 @ sK3 @ ( X0 @ Y0 ) ) @ sK1 )
@ X1 )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK4 )
@ X1 ) ),
inference(argument_congruence,[status(thm)],[f111]) ).
thf(f111,plain,
! [X0: ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a] : ( Y0 @ ( Y0 @ sK3 @ ( X0 @ Y0 ) ) @ sK1 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK4 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f110]) ).
thf(f110,plain,
! [X0: ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( X0 @ Y1 ) )
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f97]) ).
thf(f97,plain,
! [X0: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( X0 @ Y1 ) )
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f13,f15]) ).
thf(f15,plain,
( ( sK0 @ sK2 @ sK4 @ sK3 @ sK1 )
= $true ),
inference(cnf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
( ( ( sK0 @ sK2 @ sK4 @ sK3 @ sK1 )
= $true )
& ( ( sK4 != sK1 )
| ( sK2 != sK3 ) )
& ! [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( X5 = X6 )
| ( $true
!= ( sK0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f9,f11,f10]) ).
thf(f10,plain,
( ? [X0: a > a > a > a > $o] :
( ? [X1: a,X2: a,X3: a,X4: a] :
( ( $true
= ( X0 @ X2 @ X4 @ X3 @ X1 ) )
& ( ( X1 != X4 )
| ( X2 != X3 ) ) )
& ! [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( X5 = X6 )
| ( ( X0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true ) ) )
=> ( ? [X4: a,X3: a,X2: a,X1: a] :
( ( $true
= ( sK0 @ X2 @ X4 @ X3 @ X1 ) )
& ( ( X1 != X4 )
| ( X2 != X3 ) ) )
& ! [X6: ( a > a > a ) > a,X5: ( a > a > a ) > a] :
( ( X5 = X6 )
| ( $true
!= ( sK0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11,plain,
( ? [X4: a,X3: a,X2: a,X1: a] :
( ( $true
= ( sK0 @ X2 @ X4 @ X3 @ X1 ) )
& ( ( X1 != X4 )
| ( X2 != X3 ) ) )
=> ( ( ( sK0 @ sK2 @ sK4 @ sK3 @ sK1 )
= $true )
& ( ( sK4 != sK1 )
| ( sK2 != sK3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
? [X0: a > a > a > a > $o] :
( ? [X1: a,X2: a,X3: a,X4: a] :
( ( $true
= ( X0 @ X2 @ X4 @ X3 @ X1 ) )
& ( ( X1 != X4 )
| ( X2 != X3 ) ) )
& ! [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( X5 = X6 )
| ( ( X0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,plain,
? [X0: a > a > a > a > $o] :
( ? [X3: a,X4: a,X5: a,X6: a] :
( ( $true
= ( X0 @ X4 @ X6 @ X5 @ X3 ) )
& ( ( X3 != X6 )
| ( X4 != X5 ) ) )
& ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X1 = X2 )
| ( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
~ ! [X0: a > a > a > a > $o] :
( ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
=> ( X1 = X2 ) )
=> ! [X3: a,X4: a,X5: a,X6: a] :
( ( $true
= ( X0 @ X4 @ X6 @ X5 @ X3 ) )
=> ( ( X4 = X5 )
& ( X3 = X6 ) ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > a > a > $o] :
( ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( ( X0
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
=> ( X1 = X2 ) )
=> ! [X11: a,X12: a,X13: a,X14: a] :
( ( ( X0 @ X12 @ X14 @ X13 @ X11 )
= $true )
=> ( ( X11 = X14 )
& ( X12 = X13 ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > a > a > $o] :
( ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X5: a,X6: a] : X6 )
@ ( X2
@ ^ [X7: a,X8: a] : X7 )
@ ( X2
@ ^ [X9: a,X10: a] : X10 ) )
=> ( X1 = X2 ) )
=> ! [X11: a,X12: a,X13: a,X14: a] :
( ( X0 @ X12 @ X14 @ X13 @ X11 )
=> ( ( X11 = X14 )
& ( X12 = X13 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a > a > $o] :
( ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X3: a,X4: a] : X4 )
@ ( X2
@ ^ [X3: a,X4: a] : X3 )
@ ( X2
@ ^ [X3: a,X4: a] : X4 ) )
=> ( X1 = X2 ) )
=> ! [X8: a,X5: a,X7: a,X6: a] :
( ( X0 @ X5 @ X6 @ X7 @ X8 )
=> ( ( X6 = X8 )
& ( X5 = X7 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > a > a > $o] :
( ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X3: a,X4: a] : X4 )
@ ( X2
@ ^ [X3: a,X4: a] : X3 )
@ ( X2
@ ^ [X3: a,X4: a] : X4 ) )
=> ( X1 = X2 ) )
=> ! [X8: a,X5: a,X7: a,X6: a] :
( ( X0 @ X5 @ X6 @ X7 @ X8 )
=> ( ( X6 = X8 )
& ( X5 = X7 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jvjh69V0FX/DTF2THF_25390.p',cTHM189_pme) ).
thf(f13,plain,
! [X6: ( a > a > a ) > a,X5: ( a > a > a ) > a] :
( ( $true
!= ( sK0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ( X5 = X6 ) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
thf(f166,plain,
spl5_1,
inference(avatar_contradiction_clause,[status(thm)],[f165]) ).
thf(f165,plain,
( $false
| spl5_1 ),
inference(flex-flex_simplify,[status(thm)],[f164]) ).
thf(f164,plain,
( ! [X6: a,X5: ( a > a > a ) > a > a] :
( ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
!= ( ^ [Y0: a] : X6 ) )
| spl5_1 ),
inference(subsumption_resolution,[status(thm)],[f148,f19]) ).
thf(f19,plain,
( ( sK2 != sK3 )
| spl5_1 ),
inference(avatar_component_clause,[status(thm)],[f17]) ).
thf(f148,plain,
! [X6: a,X5: ( a > a > a ) > a > a] :
( ( ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
!= ( ^ [Y0: a] : X6 ) )
| ( sK2 = sK3 ) ),
inference(beta_eta_normalization,[status(thm)],[f139]) ).
thf(f139,plain,
! [X6: a,X5: ( a > a > a ) > a > a] :
( ( ( ^ [Y0: a] :
( X5
@ ^ [Y1: a,Y2: a] : Y1
@ Y0 ) )
!= ( ^ [Y0: a] : X6 ) )
| ( ( ^ [Y0: a,Y1: a] : Y0
@ sK2
@ sK4 )
= ( ^ [Y0: a,Y1: a] : Y0
@ sK3
@ X6 ) ) ),
inference(constrained_superposition,[status(thm)],[f122,f25]) ).
thf(f25,plain,
! [X0: $tType,X1: X0] :
( ( @@+ @ X0 @ ( (=) @ X1 ) )
= X1 ),
inference(leibniz_equality_elimination,[status(thm)],[f6]) ).
thf(f6,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( ( X1 @ ( @@+ @ X0 @ X1 ) )
= $true )
| ( $false
= ( X1 @ X2 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f122,plain,
! [X2: a > a > a,X1: ( a > a > a ) > a] :
( ( X2 @ sK3 @ ( X2 @ ( X1 @ X2 ) @ sK1 ) )
= ( X2 @ sK2 @ sK4 ) ),
inference(beta_eta_normalization,[status(thm)],[f118]) ).
thf(f118,plain,
! [X2: a > a > a,X1: ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK4 )
@ X2 )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ ( Y0 @ ( X1 @ Y0 ) @ sK1 ) )
@ X2 ) ),
inference(argument_congruence,[status(thm)],[f109]) ).
thf(f109,plain,
! [X1: ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ ( Y0 @ ( X1 @ Y0 ) @ sK1 ) ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK4 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f108]) ).
thf(f108,plain,
! [X1: ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] :
( Y1 @ ( X1 @ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ Y0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f98]) ).
thf(f98,plain,
! [X1: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] :
( Y1 @ ( X1 @ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ Y0 ) ) ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f13,f15]) ).
thf(f24,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[status(thm)],[f14,f21,f17]) ).
thf(f14,plain,
( ( sK2 != sK3 )
| ( sK4 != sK1 ) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV167^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n009.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 12:41:10 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.38 ---- Original DTF file ---
% 0.19/0.38 thf(spec,logic,$$dhol).
% 0.19/0.38 %------------------------------------------------------------------------------
% 0.19/0.38 % File : SEV167^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.38 % Domain : Set Theory
% 0.19/0.38 % Problem : TPS problem THM189
% 0.19/0.38 % Version : Especial.
% 0.19/0.38 % English : Basic theorem about pairing.
% 0.19/0.38
% 0.19/0.38 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.38 % Source : [Bro09]
% 0.19/0.38 % Names : tps_0493 [Bro09]
% 0.19/0.38 % : THM189 [TPS]
% 0.19/0.38
% 0.19/0.38 % Status : Theorem
% 0.19/0.38 % Rating : 0.22 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.46 v8.1.0, 0.64 v7.5.0, 0.43 v7.4.0, 0.56 v7.2.0, 0.50 v7.1.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.71 v6.1.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.60 v5.2.0, 0.80 v4.1.0, 0.67 v4.0.0
% 0.19/0.38 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.19/0.38 % Number of atoms : 3 ( 3 equ; 0 cnn)
% 0.19/0.38 % Maximal formula atoms : 3 ( 3 avg)
% 0.19/0.38 % Number of connectives : 16 ( 0 ~; 0 |; 1 &; 12 @)
% 0.19/0.38 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.19/0.38 % Maximal formula depth : 13 ( 13 avg)
% 0.19/0.38 % Number of types : 2 ( 1 usr)
% 0.19/0.38 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.19/0.38 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.19/0.38 % Number of variables : 15 ( 8 ^; 7 !; 0 ?; 15 :)
% 0.19/0.38 % SPC : TH0_THM_EQU_NAR
% 0.19/0.38
% 0.19/0.38 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.38 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.38 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.38 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.38 % : Polymorphic definitions expanded.
% 0.19/0.38 %------------------------------------------------------------------------------
% 0.19/0.38 thf(a_type,type,
% 0.19/0.38 a: $tType ).
% 0.19/0.38
% 0.19/0.38 thf(cTHM189_pme,conjecture,
% 0.19/0.38 ! [Xr: a > a > a > a > $o] :
% 0.19/0.38 ( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
% 0.19/0.38 ( ( Xr
% 0.19/0.38 @ ( Xp
% 0.19/0.38 @ ^ [Xx: a,Xy: a] : Xx )
% 0.19/0.38 @ ( Xp
% 0.19/0.38 @ ^ [Xx: a,Xy: a] : Xy )
% 0.19/0.38 @ ( Xq
% 0.19/0.38 @ ^ [Xx: a,Xy: a] : Xx )
% 0.19/0.38 @ ( Xq
% 0.19/0.38 @ ^ [Xx: a,Xy: a] : Xy ) )
% 0.19/0.38 => ( Xp = Xq ) )
% 0.19/0.38 => ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
% 0.19/0.38 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
% 0.19/0.38 => ( ( Xx1 = Xx2 )
% 0.19/0.38 & ( Xy1 = Xy2 ) ) ) ) ).
% 0.19/0.38
% 0.19/0.38 %------------------------------------------------------------------------------
% 0.19/0.39 ------------------------
% 1.38/1.29 ---- Embedded in THF ---
% 1.38/1.29 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.38/1.29 %%% Generated on Tue Feb 24 12:41:11 EST 2026
% 1.38/1.29 %%% using '$$dhol' embedding, version 1.3.0.
% 1.38/1.29 %%% Logic specification used:
% 1.38/1.29 %%% thf(spec, logic, $$dhol).
% 1.38/1.29
% 1.38/1.29 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.jvjh69V0FX/DTF2DTF25390.p
% See solution above
% 1.38/1.29 ------------------------
% 1.56/1.30 ---- Cleaned THF ---
% 1.56/1.30 thf(a_type,type,
% 1.56/1.30 a: $tType ).
% 1.56/1.30
% 1.56/1.30 thf(cTHM189_pme,conjecture,
% 1.56/1.30 ! [Xr: a > a > a > a > $o] :
% 1.56/1.30 ( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
% 1.56/1.30 ( ( Xr
% 1.56/1.30 @ ( Xp
% 1.56/1.30 @ ^ [Xx: a,Xy: a] : Xx )
% 1.56/1.30 @ ( Xp
% 1.56/1.30 @ ^ [Xx: a,Xy: a] : Xy )
% 1.56/1.30 @ ( Xq
% 1.56/1.30 @ ^ [Xx: a,Xy: a] : Xx )
% 1.56/1.30 @ ( Xq
% 1.56/1.30 @ ^ [Xx: a,Xy: a] : Xy ) )
% 1.56/1.30 => ( Xp = Xq ) )
% 1.56/1.30 => ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
% 1.56/1.30 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
% 1.56/1.30 => ( ( Xx1 = Xx2 )
% 1.56/1.30 & ( Xy1 = Xy2 ) ) ) ) ).
% 1.56/1.30 ------------------------
% 1.56/1.32 % (25491)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_25390 for (2999ds/2Mi)
% 1.56/1.32 % (25490)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/2Mi)
% 1.56/1.32 % (25488)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_25390 for (2999ds/4Mi)
% 1.56/1.32 % (25489)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_25390 for (2999ds/27Mi)
% 1.56/1.32 % (25487)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/183Mi)
% 1.56/1.32 % (25492)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_25390 for (2999ds/275Mi)
% 1.56/1.32 % (25493)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/18Mi)
% 1.56/1.32 % (25491)Instruction limit reached!
% 1.56/1.32 % (25491)------------------------------
% 1.56/1.32 % (25491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.32 % (25491)Termination reason: Unknown
% 1.56/1.32 % (25491)Termination phase: Property scanning
% 1.56/1.32
% 1.56/1.32 % (25491)Memory used [KB]: 895
% 1.56/1.32 % (25491)Time elapsed: 0.002 s
% 1.56/1.32 % (25491)Instructions burned: 2 (million)
% 1.56/1.32 % (25491)------------------------------
% 1.56/1.32 % (25491)------------------------------
% 1.56/1.32 % (25490)Instruction limit reached!
% 1.56/1.32 % (25490)------------------------------
% 1.56/1.32 % (25490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.32 % (25490)Termination reason: Unknown
% 1.56/1.32 % (25490)Termination phase: Saturation
% 1.56/1.32
% 1.56/1.32 % (25490)Memory used [KB]: 5500
% 1.56/1.32 % (25490)Time elapsed: 0.003 s
% 1.56/1.32 % (25490)Instructions burned: 2 (million)
% 1.56/1.32 % (25490)------------------------------
% 1.56/1.32 % (25490)------------------------------
% 1.56/1.32 % (25492)Refutation not found, incomplete strategy
% 1.56/1.32 % (25492)------------------------------
% 1.56/1.32 % (25492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.32 % (25492)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.32
% 1.56/1.32
% 1.56/1.32 % (25492)Memory used [KB]: 5500
% 1.56/1.32 % (25492)Time elapsed: 0.003 s
% 1.56/1.32 % (25492)Instructions burned: 2 (million)
% 1.56/1.32 % (25492)------------------------------
% 1.56/1.32 % (25492)------------------------------
% 1.56/1.32 % (25489)Refutation not found, incomplete strategy
% 1.56/1.32 % (25489)------------------------------
% 1.56/1.32 % (25489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.32 % (25489)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.32
% 1.56/1.32
% 1.56/1.32 % (25489)Memory used [KB]: 5500
% 1.56/1.32 % (25489)Time elapsed: 0.003 s
% 1.56/1.32 % (25489)Instructions burned: 2 (million)
% 1.56/1.32 % (25489)------------------------------
% 1.56/1.32 % (25489)------------------------------
% 1.56/1.32 % (25488)Instruction limit reached!
% 1.56/1.32 % (25488)------------------------------
% 1.56/1.32 % (25488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.32 % (25488)Termination reason: Unknown
% 1.56/1.32 % (25488)Termination phase: Saturation
% 1.56/1.32
% 1.56/1.32 % (25488)Memory used [KB]: 5500
% 1.56/1.32 % (25488)Time elapsed: 0.004 s
% 1.56/1.32 % (25488)Instructions burned: 4 (million)
% 1.56/1.32 % (25488)------------------------------
% 1.56/1.32 % (25488)------------------------------
% 1.56/1.33 % (25493)Instruction limit reached!
% 1.56/1.33 % (25493)------------------------------
% 1.56/1.33 % (25493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.33 % (25493)Termination reason: Unknown
% 1.56/1.33 % (25493)Termination phase: Saturation
% 1.56/1.33
% 1.56/1.33 % (25493)Memory used [KB]: 5628
% 1.56/1.33 % (25493)Time elapsed: 0.011 s
% 1.56/1.33 % (25493)Instructions burned: 18 (million)
% 1.56/1.33 % (25493)------------------------------
% 1.56/1.33 % (25493)------------------------------
% 1.56/1.34 % (25494)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/3Mi)
% 1.56/1.34 % (25495)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_25390 for (2999ds/37Mi)
% 1.56/1.34 % (25494)Instruction limit reached!
% 1.56/1.34 % (25494)------------------------------
% 1.56/1.34 % (25494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.34 % (25494)Termination reason: Unknown
% 1.56/1.34 % (25494)Termination phase: Saturation
% 1.56/1.34
% 1.56/1.34 % (25494)Memory used [KB]: 5500
% 1.56/1.34 % (25494)Time elapsed: 0.004 s
% 1.56/1.34 % (25494)Instructions burned: 3 (million)
% 1.56/1.34 % (25494)------------------------------
% 1.56/1.34 % (25494)------------------------------
% 1.56/1.34 % (25496)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_25390 for (2999ds/15Mi)
% 1.56/1.34 % (25498)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_25390 for (2999ds/1041Mi)
% 1.56/1.34 % (25497)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_25390 for (2999ds/3Mi)
% 1.56/1.34 % (25496)Refutation not found, incomplete strategy
% 1.56/1.34 % (25496)------------------------------
% 1.56/1.34 % (25496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.34 % (25496)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.34
% 1.56/1.34
% 1.56/1.34 % (25496)Memory used [KB]: 5500
% 1.56/1.34 % (25496)Time elapsed: 0.003 s
% 1.56/1.34 % (25496)Instructions burned: 3 (million)
% 1.56/1.34 % (25496)------------------------------
% 1.56/1.34 % (25496)------------------------------
% 1.56/1.34 % (25497)Instruction limit reached!
% 1.56/1.34 % (25497)------------------------------
% 1.56/1.34 % (25497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.34 % (25497)Termination reason: Unknown
% 1.56/1.34 % (25497)Termination phase: Saturation
% 1.56/1.34
% 1.56/1.34 % (25497)Memory used [KB]: 5500
% 1.56/1.34 % (25497)Time elapsed: 0.004 s
% 1.56/1.34 % (25497)Instructions burned: 4 (million)
% 1.56/1.34 % (25497)------------------------------
% 1.56/1.34 % (25497)------------------------------
% 1.56/1.35 % (25499)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/7Mi)
% 1.56/1.35 % (25498)Refutation not found, incomplete strategy
% 1.56/1.35 % (25498)------------------------------
% 1.56/1.35 % (25498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.35 % (25498)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.35
% 1.56/1.35
% 1.56/1.35 % (25498)Memory used [KB]: 5500
% 1.56/1.35 % (25498)Time elapsed: 0.009 s
% 1.56/1.35 % (25498)Instructions burned: 14 (million)
% 1.56/1.35 % (25498)------------------------------
% 1.56/1.35 % (25498)------------------------------
% 1.56/1.35 % (25499)Instruction limit reached!
% 1.56/1.35 % (25499)------------------------------
% 1.56/1.35 % (25499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.35 % (25499)Termination reason: Unknown
% 1.56/1.35 % (25499)Termination phase: Saturation
% 1.56/1.35
% 1.56/1.35 % (25499)Memory used [KB]: 1023
% 1.56/1.35 % (25499)Time elapsed: 0.005 s
% 1.56/1.35 % (25499)Instructions burned: 7 (million)
% 1.56/1.35 % (25499)------------------------------
% 1.56/1.35 % (25499)------------------------------
% 1.56/1.35 % (25500)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/16Mi)
% 1.56/1.35 % (25495)Instruction limit reached!
% 1.56/1.35 % (25495)------------------------------
% 1.56/1.35 % (25495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.35 % (25495)Termination reason: Unknown
% 1.56/1.35 % (25495)Termination phase: Saturation
% 1.56/1.35
% 1.56/1.35 % (25495)Memory used [KB]: 5756
% 1.56/1.35 % (25495)Time elapsed: 0.019 s
% 1.56/1.35 % (25495)Instructions burned: 38 (million)
% 1.56/1.35 % (25495)------------------------------
% 1.56/1.35 % (25495)------------------------------
% 1.56/1.36 % (25501)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_25390 for (2999ds/3Mi)
% 1.56/1.36 % (25502)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_25390 for (2999ds/3Mi)
% 1.56/1.36 % (25501)Instruction limit reached!
% 1.56/1.36 % (25501)------------------------------
% 1.56/1.36 % (25501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.36 % (25501)Termination reason: Unknown
% 1.56/1.36 % (25501)Termination phase: Saturation
% 1.56/1.36 % (25502)Instruction limit reached!
% 1.56/1.36 % (25502)------------------------------
% 1.56/1.36 % (25502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.36 % (25502)Termination reason: Unknown
% 1.56/1.36 % (25502)Termination phase: Saturation
% 1.56/1.36
% 1.56/1.36 % (25502)Memory used [KB]: 1023
% 1.56/1.36 % (25502)Time elapsed: 0.003 s
% 1.56/1.36 % (25502)Instructions burned: 3 (million)
% 1.56/1.36 % (25502)------------------------------
% 1.56/1.36 % (25502)------------------------------
% 1.56/1.36
% 1.56/1.36 % (25501)Memory used [KB]: 5500
% 1.56/1.36 % (25501)Time elapsed: 0.003 s
% 1.56/1.36 % (25501)Instructions burned: 3 (million)
% 1.56/1.36 % (25501)------------------------------
% 1.56/1.36 % (25501)------------------------------
% 1.56/1.36 % (25503)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/7Mi)
% 1.56/1.36 % (25500)Instruction limit reached!
% 1.56/1.36 % (25500)------------------------------
% 1.56/1.36 % (25500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.36 % (25500)Termination reason: Unknown
% 1.56/1.36 % (25500)Termination phase: Saturation
% 1.56/1.36
% 1.56/1.36 % (25500)Memory used [KB]: 5628
% 1.56/1.36 % (25500)Time elapsed: 0.011 s
% 1.56/1.36 % (25500)Instructions burned: 16 (million)
% 1.56/1.36 % (25500)------------------------------
% 1.56/1.36 % (25500)------------------------------
% 1.56/1.36 % (25503)Refutation not found, incomplete strategy
% 1.56/1.36 % (25503)------------------------------
% 1.56/1.36 % (25503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.36 % (25503)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.36
% 1.56/1.36
% 1.56/1.36 % (25503)Memory used [KB]: 5500
% 1.56/1.36 % (25503)Time elapsed: 0.002 s
% 1.56/1.36 % (25503)Instructions burned: 1 (million)
% 1.56/1.36 % (25503)------------------------------
% 1.56/1.36 % (25503)------------------------------
% 1.56/1.36 % (25504)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/3Mi)
% 1.56/1.37 % (25504)Instruction limit reached!
% 1.56/1.37 % (25504)------------------------------
% 1.56/1.37 % (25504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.37 % (25504)Termination reason: Unknown
% 1.56/1.37 % (25504)Termination phase: Saturation
% 1.56/1.37
% 1.56/1.37 % (25504)Memory used [KB]: 5500
% 1.56/1.37 % (25504)Time elapsed: 0.003 s
% 1.56/1.37 % (25504)Instructions burned: 3 (million)
% 1.56/1.37 % (25504)------------------------------
% 1.56/1.37 % (25504)------------------------------
% 1.56/1.37 % (25505)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/4Mi)
% 1.56/1.37 % (25505)Instruction limit reached!
% 1.56/1.37 % (25505)------------------------------
% 1.56/1.37 % (25505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.37 % (25505)Termination reason: Unknown
% 1.56/1.37 % (25505)Termination phase: Saturation
% 1.56/1.37
% 1.56/1.37 % (25505)Memory used [KB]: 5500
% 1.56/1.37 % (25505)Time elapsed: 0.004 s
% 1.56/1.37 % (25505)Instructions burned: 4 (million)
% 1.56/1.37 % (25505)------------------------------
% 1.56/1.37 % (25505)------------------------------
% 1.56/1.37 % (25507)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/710Mi)
% 1.56/1.37 % (25506)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/18Mi)
% 1.56/1.38 % (25506)Refutation not found, incomplete strategy
% 1.56/1.38 % (25506)------------------------------
% 1.56/1.38 % (25506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.38 % (25506)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.38
% 1.56/1.38
% 1.56/1.38 % (25506)Memory used [KB]: 5500
% 1.56/1.38 % (25506)Time elapsed: 0.003 s
% 1.56/1.38 % (25506)Instructions burned: 2 (million)
% 1.56/1.38 % (25506)------------------------------
% 1.56/1.38 % (25506)------------------------------
% 1.56/1.38 % (25508)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/6Mi)
% 1.56/1.38 % (25509)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_25390 for (2999ds/902Mi)
% 1.56/1.38 % (25509)Refutation not found, incomplete strategy
% 1.56/1.38 % (25509)------------------------------
% 1.56/1.38 % (25509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.38 % (25509)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.38
% 1.56/1.38
% 1.56/1.38 % (25508)Refutation not found, incomplete strategy
% 1.56/1.38 % (25508)------------------------------
% 1.56/1.38 % (25508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.38 % (25508)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.38
% 1.56/1.38
% 1.56/1.38 % (25508)Memory used [KB]: 5500
% 1.56/1.38 % (25508)Time elapsed: 0.003 s
% 1.56/1.38 % (25508)Instructions burned: 2 (million)
% 1.56/1.38 % (25508)------------------------------
% 1.56/1.38 % (25508)------------------------------
% 1.56/1.38 % (25509)Memory used [KB]: 5500
% 1.56/1.38 % (25509)Time elapsed: 0.002 s
% 1.56/1.38 % (25509)Instructions burned: 1 (million)
% 1.56/1.38 % (25509)------------------------------
% 1.56/1.38 % (25509)------------------------------
% 1.56/1.38 % (25510)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_25390 for (2999ds/21Mi)
% 1.56/1.39 % (25511)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/5Mi)
% 1.56/1.39 % (25511)Instruction limit reached!
% 1.56/1.39 % (25511)------------------------------
% 1.56/1.39 % (25511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.39 % (25511)Termination reason: Unknown
% 1.56/1.39 % (25511)Termination phase: Saturation
% 1.56/1.39
% 1.56/1.39 % (25511)Memory used [KB]: 5500
% 1.56/1.39 % (25511)Time elapsed: 0.004 s
% 1.56/1.39 % (25511)Instructions burned: 5 (million)
% 1.56/1.39 % (25511)------------------------------
% 1.56/1.39 % (25511)------------------------------
% 1.56/1.39 % (25512)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_25390 for (2999ds/6Mi)
% 1.56/1.39 % (25510)Instruction limit reached!
% 1.56/1.39 % (25510)------------------------------
% 1.56/1.39 % (25510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.39 % (25510)Termination reason: Unknown
% 1.56/1.39 % (25510)Termination phase: Saturation
% 1.56/1.39
% 1.56/1.39 % (25510)Memory used [KB]: 5628
% 1.56/1.39 % (25510)Time elapsed: 0.013 s
% 1.56/1.39 % (25510)Instructions burned: 21 (million)
% 1.56/1.39 % (25510)------------------------------
% 1.56/1.39 % (25510)------------------------------
% 1.56/1.40 % (25512)Instruction limit reached!
% 1.56/1.40 % (25512)------------------------------
% 1.56/1.40 % (25512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.40 % (25512)Termination reason: Unknown
% 1.56/1.40 % (25512)Termination phase: Saturation
% 1.56/1.40
% 1.56/1.40 % (25512)Memory used [KB]: 5500
% 1.56/1.40 % (25512)Time elapsed: 0.005 s
% 1.56/1.40 % (25512)Instructions burned: 7 (million)
% 1.56/1.40 % (25512)------------------------------
% 1.56/1.40 % (25512)------------------------------
% 1.56/1.40 % (25513)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/377Mi)
% 1.56/1.40 % (25514)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_25390 for (2999ds/779Mi)
% 1.56/1.40 % (25513)Refutation not found, incomplete strategy
% 1.56/1.40 % (25513)------------------------------
% 1.56/1.40 % (25513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.40 % (25513)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.40
% 1.56/1.40
% 1.56/1.40 % (25513)Memory used [KB]: 5500
% 1.56/1.40 % (25513)Time elapsed: 0.003 s
% 1.56/1.40 % (25513)Instructions burned: 2 (million)
% 1.56/1.40 % (25513)------------------------------
% 1.56/1.40 % (25513)------------------------------
% 1.56/1.41 % (25487)Instruction limit reached!
% 1.56/1.41 % (25487)------------------------------
% 1.56/1.41 % (25487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.41 % (25487)Termination reason: Unknown
% 1.56/1.41 % (25487)Termination phase: Saturation
% 1.56/1.41
% 1.56/1.41 % (25487)Memory used [KB]: 6524
% 1.56/1.41 % (25487)Time elapsed: 0.087 s
% 1.56/1.41 % (25487)Instructions burned: 185 (million)
% 1.56/1.41 % (25487)------------------------------
% 1.56/1.41 % (25487)------------------------------
% 1.56/1.41 % (25515)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_25390 for (2999ds/19Mi)
% 1.56/1.41 % (25516)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/879Mi)
% 1.56/1.41 % (25515)Refutation not found, incomplete strategy
% 1.56/1.41 % (25515)------------------------------
% 1.56/1.41 % (25515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.41 % (25515)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.41
% 1.56/1.41
% 1.56/1.41 % (25515)Memory used [KB]: 5500
% 1.56/1.41 % (25515)Time elapsed: 0.004 s
% 1.56/1.41 % (25515)Instructions burned: 5 (million)
% 1.56/1.41 % (25515)------------------------------
% 1.56/1.41 % (25515)------------------------------
% 1.56/1.41 % (25516)Refutation not found, incomplete strategy
% 1.56/1.41 % (25516)------------------------------
% 1.56/1.41 % (25516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.41 % (25516)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.41
% 1.56/1.41
% 1.56/1.41 % (25516)Memory used [KB]: 5500
% 1.56/1.41 % (25516)Time elapsed: 0.003 s
% 1.56/1.41 % (25516)Instructions burned: 1 (million)
% 1.56/1.41 % (25516)------------------------------
% 1.56/1.41 % (25516)------------------------------
% 1.56/1.41 % (25517)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/17Mi)
% 1.56/1.42 % (25518)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/3Mi)
% 1.56/1.42 % (25518)Instruction limit reached!
% 1.56/1.42 % (25518)------------------------------
% 1.56/1.42 % (25518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.42 % (25518)Termination reason: Unknown
% 1.56/1.42 % (25518)Termination phase: Property scanning
% 1.56/1.42
% 1.56/1.42 % (25518)Memory used [KB]: 1023
% 1.56/1.42 % (25518)Time elapsed: 0.003 s
% 1.56/1.42 % (25518)Instructions burned: 3 (million)
% 1.56/1.42 % (25518)------------------------------
% 1.56/1.42 % (25518)------------------------------
% 1.56/1.42 % (25517)Instruction limit reached!
% 1.56/1.42 % (25517)------------------------------
% 1.56/1.42 % (25517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.42 % (25517)Termination reason: Unknown
% 1.56/1.42 % (25517)Termination phase: Saturation
% 1.56/1.42
% 1.56/1.42 % (25517)Memory used [KB]: 5628
% 1.56/1.42 % (25517)Time elapsed: 0.011 s
% 1.56/1.42 % (25517)Instructions burned: 18 (million)
% 1.56/1.42 % (25517)------------------------------
% 1.56/1.42 % (25517)------------------------------
% 1.56/1.42 % (25519)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/30Mi)
% 1.56/1.43 % (25520)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/127Mi)
% 1.56/1.43 % (25521)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_25390 for (2999ds/100Mi)
% 1.56/1.43 % (25521)Refutation not found, incomplete strategy
% 1.56/1.43 % (25521)------------------------------
% 1.56/1.43 % (25521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.43 % (25521)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.43
% 1.56/1.43
% 1.56/1.43 % (25521)Memory used [KB]: 5500
% 1.56/1.43 % (25521)Time elapsed: 0.003 s
% 1.56/1.43 % (25521)Instructions burned: 1 (million)
% 1.56/1.43 % (25521)------------------------------
% 1.56/1.43 % (25521)------------------------------
% 1.56/1.43 % (25522)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_25390 for (2998ds/3Mi)
% 1.56/1.43 % (25522)Instruction limit reached!
% 1.56/1.43 % (25522)------------------------------
% 1.56/1.43 % (25522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.43 % (25522)Termination reason: Unknown
% 1.56/1.43 % (25522)Termination phase: Saturation
% 1.56/1.43
% 1.56/1.43 % (25522)Memory used [KB]: 5500
% 1.56/1.43 % (25522)Time elapsed: 0.003 s
% 1.56/1.43 % (25522)Instructions burned: 3 (million)
% 1.56/1.43 % (25522)------------------------------
% 1.56/1.43 % (25522)------------------------------
% 1.56/1.44 % (25519)Instruction limit reached!
% 1.56/1.44 % (25519)------------------------------
% 1.56/1.44 % (25519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.44 % (25519)Termination reason: Unknown
% 1.56/1.44 % (25519)Termination phase: Saturation
% 1.56/1.44
% 1.56/1.44 % (25519)Memory used [KB]: 5628
% 1.56/1.44 % (25519)Time elapsed: 0.017 s
% 1.56/1.44 % (25519)Instructions burned: 30 (million)
% 1.56/1.44 % (25519)------------------------------
% 1.56/1.44 % (25519)------------------------------
% 1.56/1.44 % (25523)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_25390 for (2998ds/20Mi)
% 1.56/1.44 % (25523)Refutation not found, incomplete strategy
% 1.56/1.44 % (25523)------------------------------
% 1.56/1.44 % (25523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.44 % (25523)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.44
% 1.56/1.44
% 1.56/1.44 % (25523)Memory used [KB]: 5500
% 1.56/1.44 % (25523)Time elapsed: 0.003 s
% 1.56/1.44 % (25523)Instructions burned: 2 (million)
% 1.56/1.44 % (25523)------------------------------
% 1.56/1.44 % (25523)------------------------------
% 1.56/1.45 % (25524)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_25390 for (2998ds/86Mi)
% 1.56/1.45 % (25524)Refutation not found, incomplete strategy
% 1.56/1.45 % (25524)------------------------------
% 1.56/1.45 % (25524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.45 % (25524)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.45
% 1.56/1.45
% 1.56/1.45 % (25524)Memory used [KB]: 5500
% 1.56/1.45 % (25524)Time elapsed: 0.003 s
% 1.56/1.45 % (25524)Instructions burned: 3 (million)
% 1.56/1.45 % (25524)------------------------------
% 1.56/1.45 % (25524)------------------------------
% 1.56/1.45 % (25525)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_25390 for (2998ds/107Mi)
% 1.56/1.45 % (25525)Refutation not found, incomplete strategy
% 1.56/1.45 % (25525)------------------------------
% 1.56/1.45 % (25525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.45 % (25525)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.45
% 1.56/1.45
% 1.56/1.45 % (25525)Memory used [KB]: 5500
% 1.56/1.45 % (25525)Time elapsed: 0.003 s
% 1.56/1.45 % (25525)Instructions burned: 2 (million)
% 1.56/1.45 % (25525)------------------------------
% 1.56/1.45 % (25525)------------------------------
% 1.56/1.45 % (25526)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_25390 for (2998ds/39Mi)
% 1.56/1.45 % (25527)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_25390 for (2998ds/448Mi)
% 1.56/1.46 % (25528)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_25390 for (2998ds/46Mi)
% 1.56/1.47 % (25529)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_25390 for (2998ds/98Mi)
% 1.56/1.47 % (25526)Instruction limit reached!
% 1.56/1.47 % (25526)------------------------------
% 1.56/1.47 % (25526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.47 % (25526)Termination reason: Unknown
% 1.56/1.47 % (25526)Termination phase: Saturation
% 1.56/1.47
% 1.56/1.47 % (25526)Memory used [KB]: 5756
% 1.56/1.47 % (25526)Time elapsed: 0.041 s
% 1.56/1.47 % (25526)Instructions burned: 40 (million)
% 1.56/1.47 % (25526)------------------------------
% 1.56/1.47 % (25526)------------------------------
% 1.56/1.47 % (25529)Refutation not found, incomplete strategy
% 1.56/1.47 % (25529)------------------------------
% 1.56/1.47 % (25529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.47 % (25529)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.47
% 1.56/1.47
% 1.56/1.47 % (25529)Memory used [KB]: 1023
% 1.56/1.47 % (25529)Time elapsed: 0.006 s
% 1.56/1.47 % (25529)Instructions burned: 9 (million)
% 1.56/1.47 % (25529)------------------------------
% 1.56/1.47 % (25529)------------------------------
% 1.56/1.48 % (25528)Refutation not found, incomplete strategy
% 1.56/1.48 % (25528)------------------------------
% 1.56/1.48 % (25528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.48 % (25528)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.48
% 1.56/1.48
% 1.56/1.48 % (25528)Memory used [KB]: 5628
% 1.56/1.48 % (25528)Time elapsed: 0.018 s
% 1.56/1.48 % (25528)Instructions burned: 30 (million)
% 1.56/1.48 % (25528)------------------------------
% 1.56/1.48 % (25528)------------------------------
% 1.56/1.49 % (25530)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_25390 for (2998ds/507Mi)
% 1.56/1.49 % (25520)Instruction limit reached!
% 1.56/1.49 % (25520)------------------------------
% 1.56/1.49 % (25520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.49 % (25520)Termination reason: Unknown
% 1.56/1.49 % (25520)Termination phase: Saturation
% 1.56/1.49
% 1.56/1.49 % (25520)Memory used [KB]: 5756
% 1.56/1.49 % (25520)Time elapsed: 0.062 s
% 1.56/1.49 % (25520)Instructions burned: 127 (million)
% 1.56/1.49 % (25520)------------------------------
% 1.56/1.49 % (25520)------------------------------
% 1.56/1.49 % (25530)Refutation not found, incomplete strategy
% 1.56/1.49 % (25530)------------------------------
% 1.56/1.49 % (25530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.49 % (25530)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.49
% 1.56/1.49
% 1.56/1.49 % (25530)Memory used [KB]: 5500
% 1.56/1.49 % (25530)Time elapsed: 0.003 s
% 1.56/1.49 % (25530)Instructions burned: 3 (million)
% 1.56/1.49 % (25530)------------------------------
% 1.56/1.49 % (25530)------------------------------
% 1.56/1.49 % (25531)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_25390 for (2998ds/149Mi)
% 1.56/1.50 % (25532)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_25390 for (2998ds/39Mi)
% 1.56/1.50 % (25532)Refutation not found, incomplete strategy
% 1.56/1.50 % (25532)------------------------------
% 1.56/1.50 % (25532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.50 % (25532)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.50
% 1.56/1.50
% 1.56/1.50 % (25532)Memory used [KB]: 5500
% 1.56/1.50 % (25532)Time elapsed: 0.003 s
% 1.56/1.50 % (25532)Instructions burned: 1 (million)
% 1.56/1.50 % (25532)------------------------------
% 1.56/1.50 % (25532)------------------------------
% 1.56/1.50 % (25533)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_25390 for (2998ds/6Mi)
% 1.56/1.51 % (25534)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_25390 for (2998ds/1087Mi)
% 1.56/1.51 % (25533)Instruction limit reached!
% 1.56/1.51 % (25533)------------------------------
% 1.56/1.51 % (25533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.51 % (25533)Termination reason: Unknown
% 1.56/1.51 % (25533)Termination phase: Saturation
% 1.56/1.51
% 1.56/1.51 % (25533)Memory used [KB]: 9978
% 1.56/1.51 % (25533)Time elapsed: 0.005 s
% 1.56/1.51 % (25533)Instructions burned: 6 (million)
% 1.56/1.51 % (25533)------------------------------
% 1.56/1.51 % (25533)------------------------------
% 1.56/1.51 % (25534)Refutation not found, incomplete strategy
% 1.56/1.51 % (25534)------------------------------
% 1.56/1.51 % (25534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.51 % (25534)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.51
% 1.56/1.51
% 1.56/1.51 % (25534)Memory used [KB]: 5500
% 1.56/1.51 % (25534)Time elapsed: 0.003 s
% 1.56/1.51 % (25534)Instructions burned: 2 (million)
% 1.56/1.51 % (25534)------------------------------
% 1.56/1.51 % (25534)------------------------------
% 1.56/1.51 % (25535)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_25390 for (2998ds/47Mi)
% 1.56/1.52 % (25536)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_25390 for (2997ds/44Mi)
% 1.56/1.52 % (25537)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_25390 for (2997ds/432Mi)
% 1.56/1.54 % (25535)Instruction limit reached!
% 1.56/1.54 % (25535)------------------------------
% 1.56/1.54 % (25535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.54 % (25535)Termination reason: Unknown
% 1.56/1.54 % (25535)Termination phase: Saturation
% 1.56/1.54
% 1.56/1.54 % (25535)Memory used [KB]: 5628
% 1.56/1.54 % (25535)Time elapsed: 0.026 s
% 1.56/1.54 % (25535)Instructions burned: 49 (million)
% 1.56/1.54 % (25535)------------------------------
% 1.56/1.54 % (25535)------------------------------
% 1.56/1.55 % (25536)Instruction limit reached!
% 1.56/1.55 % (25536)------------------------------
% 1.56/1.55 % (25536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.55 % (25536)Termination reason: Unknown
% 1.56/1.55 % (25536)Termination phase: Saturation
% 1.56/1.55
% 1.56/1.55 % (25536)Memory used [KB]: 1151
% 1.56/1.55 % (25536)Time elapsed: 0.024 s
% 1.56/1.55 % (25536)Instructions burned: 44 (million)
% 1.56/1.55 % (25536)------------------------------
% 1.56/1.55 % (25536)------------------------------
% 1.56/1.56 % (25538)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_25390 for (2997ds/62Mi)
% 1.56/1.56 % (25539)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_25390 for (2997ds/31Mi)
% 1.56/1.57 % (25531)Instruction limit reached!
% 1.56/1.57 % (25531)------------------------------
% 1.56/1.57 % (25531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.57 % (25531)Termination reason: Unknown
% 1.56/1.57 % (25531)Termination phase: Saturation
% 1.56/1.57
% 1.56/1.57 % (25531)Memory used [KB]: 5884
% 1.56/1.57 % (25531)Time elapsed: 0.077 s
% 1.56/1.57 % (25531)Instructions burned: 149 (million)
% 1.56/1.57 % (25531)------------------------------
% 1.56/1.57 % (25531)------------------------------
% 1.56/1.58 % (25539)Instruction limit reached!
% 1.56/1.58 % (25539)------------------------------
% 1.56/1.58 % (25539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.58 % (25539)Termination reason: Unknown
% 1.56/1.58 % (25539)Termination phase: Saturation
% 1.56/1.58
% 1.56/1.58 % (25539)Memory used [KB]: 5628
% 1.56/1.58 % (25539)Time elapsed: 0.017 s
% 1.56/1.58 % (25539)Instructions burned: 31 (million)
% 1.56/1.58 % (25539)------------------------------
% 1.56/1.58 % (25539)------------------------------
% 1.56/1.58 % (25540)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_25390 for (2997ds/96Mi)
% 1.56/1.59 % (25538)Instruction limit reached!
% 1.56/1.59 % (25538)------------------------------
% 1.56/1.59 % (25538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.59 % (25538)Termination reason: Unknown
% 1.56/1.59 % (25538)Termination phase: Saturation
% 1.56/1.59
% 1.56/1.59 % (25538)Memory used [KB]: 5756
% 1.56/1.59 % (25538)Time elapsed: 0.034 s
% 1.56/1.59 % (25538)Instructions burned: 62 (million)
% 1.56/1.59 % (25538)------------------------------
% 1.56/1.59 % (25538)------------------------------
% 1.56/1.59 % (25541)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_25390 for (2997ds/453Mi)
% 1.56/1.60 % (25541)Refutation not found, incomplete strategy
% 1.56/1.60 % (25541)------------------------------
% 1.56/1.60 % (25541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.60 % (25541)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.60
% 1.56/1.60
% 1.56/1.60 % (25541)Memory used [KB]: 5500
% 1.56/1.60 % (25541)Time elapsed: 0.006 s
% 1.56/1.60 % (25541)Instructions burned: 8 (million)
% 1.56/1.60 % (25541)------------------------------
% 1.56/1.60 % (25541)------------------------------
% 1.56/1.60 % (25542)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_25390 for (2997ds/71Mi)
% 1.56/1.61 % (25543)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_25390 for (2997ds/83Mi)
% 1.56/1.63 % (25540)Instruction limit reached!
% 1.56/1.63 % (25540)------------------------------
% 1.56/1.63 % (25540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.63 % (25540)Termination reason: Unknown
% 1.56/1.63 % (25540)Termination phase: Saturation
% 1.56/1.63
% 1.56/1.63 % (25540)Memory used [KB]: 5628
% 1.56/1.63 % (25540)Time elapsed: 0.048 s
% 1.56/1.63 % (25540)Instructions burned: 97 (million)
% 1.56/1.63 % (25540)------------------------------
% 1.56/1.63 % (25540)------------------------------
% 1.56/1.64 % (25542)Instruction limit reached!
% 1.56/1.64 % (25542)------------------------------
% 1.56/1.64 % (25542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.64 % (25542)Termination reason: Unknown
% 1.56/1.64 % (25542)Termination phase: Saturation
% 1.56/1.64
% 1.56/1.64 % (25542)Memory used [KB]: 5756
% 1.56/1.64 % (25542)Time elapsed: 0.037 s
% 1.56/1.64 % (25542)Instructions burned: 72 (million)
% 1.56/1.64 % (25542)------------------------------
% 1.56/1.64 % (25542)------------------------------
% 1.56/1.64 % (25544)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_25390 for (2996ds/11Mi)
% 1.56/1.65 % (25544)Instruction limit reached!
% 1.56/1.65 % (25544)------------------------------
% 1.56/1.65 % (25544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.65 % (25544)Termination reason: Unknown
% 1.56/1.65 % (25544)Termination phase: Saturation
% 1.56/1.65
% 1.56/1.65 % (25544)Memory used [KB]: 5500
% 1.56/1.65 % (25544)Time elapsed: 0.008 s
% 1.56/1.65 % (25544)Instructions burned: 12 (million)
% 1.56/1.65 % (25544)------------------------------
% 1.56/1.65 % (25544)------------------------------
% 1.56/1.65 % (25543)Instruction limit reached!
% 1.56/1.65 % (25543)------------------------------
% 1.56/1.65 % (25543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.65 % (25543)Termination reason: Unknown
% 1.56/1.65 % (25543)Termination phase: Saturation
% 1.56/1.65
% 1.56/1.65 % (25543)Memory used [KB]: 5756
% 1.56/1.65 % (25543)Time elapsed: 0.041 s
% 1.56/1.65 % (25543)Instructions burned: 83 (million)
% 1.56/1.65 % (25543)------------------------------
% 1.56/1.65 % (25543)------------------------------
% 1.56/1.66 % (25545)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_25390 for (2996ds/41Mi)
% 1.56/1.66 % (25545)Refutation not found, incomplete strategy
% 1.56/1.66 % (25545)------------------------------
% 1.56/1.66 % (25545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.66 % (25545)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.66
% 1.56/1.66
% 1.56/1.66 % (25545)Memory used [KB]: 5500
% 1.56/1.66 % (25545)Time elapsed: 0.004 s
% 1.56/1.66 % (25545)Instructions burned: 5 (million)
% 1.56/1.66 % (25545)------------------------------
% 1.56/1.66 % (25545)------------------------------
% 1.56/1.67 % (25546)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_25390 for (2996ds/6Mi)
% 1.56/1.67 % (25546)Refutation not found, incomplete strategy
% 1.56/1.67 % (25546)------------------------------
% 1.56/1.67 % (25546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.67 % (25546)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.67
% 1.56/1.67
% 1.56/1.67 % (25546)Memory used [KB]: 5500
% 1.56/1.67 % (25546)Time elapsed: 0.003 s
% 1.56/1.67 % (25546)Instructions burned: 3 (million)
% 1.56/1.67 % (25546)------------------------------
% 1.56/1.67 % (25546)------------------------------
% 1.56/1.67 % (25527)Instruction limit reached!
% 1.56/1.67 % (25527)------------------------------
% 1.56/1.67 % (25527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.67 % (25527)Termination reason: Unknown
% 1.56/1.67 % (25527)Termination phase: Saturation
% 1.56/1.67
% 1.56/1.67 % (25527)Memory used [KB]: 6012
% 1.56/1.67 % (25527)Time elapsed: 0.236 s
% 1.56/1.67 % (25527)Instructions burned: 449 (million)
% 1.56/1.67 % (25527)------------------------------
% 1.56/1.67 % (25527)------------------------------
% 1.56/1.67 % (25547)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_25390 for (2996ds/150Mi)
% 1.56/1.67 % (25548)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_25390 for (2996ds/343Mi)
% 1.56/1.68 % (25548)Refutation not found, incomplete strategy
% 1.56/1.68 % (25548)------------------------------
% 1.56/1.68 % (25548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.68 % (25548)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.68
% 1.56/1.68
% 1.56/1.68 % (25548)Memory used [KB]: 5500
% 1.56/1.68 % (25548)Time elapsed: 0.002 s
% 1.56/1.68 % (25548)Instructions burned: 1 (million)
% 1.56/1.68 % (25548)------------------------------
% 1.56/1.68 % (25548)------------------------------
% 1.56/1.68 % (25549)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_25390 for (2996ds/109Mi)
% 1.56/1.68 % (25550)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_25390 for (2996ds/253Mi)
% 1.56/1.69 % (25550)Refutation not found, incomplete strategy
% 1.56/1.69 % (25550)------------------------------
% 1.56/1.69 % (25550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.69 % (25550)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.69
% 1.56/1.69
% 1.56/1.69 % (25550)Memory used [KB]: 5500
% 1.56/1.69 % (25550)Time elapsed: 0.003 s
% 1.56/1.69 % (25550)Instructions burned: 3 (million)
% 1.56/1.69 % (25550)------------------------------
% 1.56/1.69 % (25550)------------------------------
% 1.56/1.69 % (25551)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_25390 for (2996ds/140Mi)
% 1.56/1.69 % (25551)Refutation not found, incomplete strategy
% 1.56/1.69 % (25551)------------------------------
% 1.56/1.69 % (25551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.69 % (25551)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.69
% 1.56/1.69
% 1.56/1.69 % (25551)Memory used [KB]: 5500
% 1.56/1.69 % (25551)Time elapsed: 0.003 s
% 1.56/1.69 % (25551)Instructions burned: 2 (million)
% 1.56/1.69 % (25551)------------------------------
% 1.56/1.69 % (25551)------------------------------
% 1.56/1.70 % (25552)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_25390 for (2996ds/614Mi)
% 1.56/1.70 % (25552)Refutation not found, incomplete strategy
% 1.56/1.70 % (25552)------------------------------
% 1.56/1.70 % (25552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.70 % (25552)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.70
% 1.56/1.70
% 1.56/1.70 % (25552)Memory used [KB]: 5500
% 1.56/1.70 % (25552)Time elapsed: 0.003 s
% 1.56/1.70 % (25552)Instructions burned: 2 (million)
% 1.56/1.70 % (25552)------------------------------
% 1.56/1.70 % (25552)------------------------------
% 1.56/1.71 % (25507)Instruction limit reached!
% 1.56/1.71 % (25507)------------------------------
% 1.56/1.71 % (25507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.71 % (25507)Termination reason: Unknown
% 1.56/1.71 % (25507)Termination phase: Saturation
% 1.56/1.71
% 1.56/1.71 % (25507)Memory used [KB]: 6396
% 1.56/1.71 % (25507)Time elapsed: 0.336 s
% 1.56/1.71 % (25507)Instructions burned: 711 (million)
% 1.56/1.71 % (25507)------------------------------
% 1.56/1.71 % (25507)------------------------------
% 1.56/1.71 % (25553)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_25390 for (2996ds/202Mi)
% 1.56/1.71 % (25553)Refutation not found, incomplete strategy
% 1.56/1.71 % (25553)------------------------------
% 1.56/1.71 % (25553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.71 % (25553)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.71
% 1.56/1.71
% 1.56/1.71 % (25553)Memory used [KB]: 5500
% 1.56/1.71 % (25553)Time elapsed: 0.003 s
% 1.56/1.71 % (25553)Instructions burned: 3 (million)
% 1.56/1.71 % (25553)------------------------------
% 1.56/1.71 % (25553)------------------------------
% 1.56/1.72 % (25554)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_25390 for (2996ds/339Mi)
% 1.56/1.72 % (25554)Refutation not found, incomplete strategy
% 1.56/1.72 % (25554)------------------------------
% 1.56/1.72 % (25554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.72 % (25554)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.72
% 1.56/1.72
% 1.56/1.72 % (25554)Memory used [KB]: 5500
% 1.56/1.72 % (25554)Time elapsed: 0.003 s
% 1.56/1.72 % (25554)Instructions burned: 3 (million)
% 1.56/1.72 % (25554)------------------------------
% 1.56/1.72 % (25554)------------------------------
% 1.56/1.73 % (25555)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_25390 for (2996ds/283Mi)
% 1.56/1.73 % (25537)Instruction limit reached!
% 1.56/1.73 % (25537)------------------------------
% 1.56/1.73 % (25537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.73 % (25537)Termination reason: Unknown
% 1.56/1.73 % (25537)Termination phase: Saturation
% 1.56/1.73
% 1.56/1.73 % (25537)Memory used [KB]: 2558
% 1.56/1.73 % (25537)Time elapsed: 0.205 s
% 1.56/1.73 % (25537)Instructions burned: 432 (million)
% 1.56/1.73 % (25537)------------------------------
% 1.56/1.73 % (25537)------------------------------
% 1.56/1.73 % (25556)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_25390 for (2996ds/134Mi)
% 1.56/1.74 % (25549)Instruction limit reached!
% 1.56/1.74 % (25549)------------------------------
% 1.56/1.74 % (25549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.74 % (25549)Termination reason: Unknown
% 1.56/1.74 % (25549)Termination phase: Saturation
% 1.56/1.74
% 1.56/1.74 % (25549)Memory used [KB]: 6140
% 1.56/1.74 % (25549)Time elapsed: 0.053 s
% 1.56/1.74 % (25549)Instructions burned: 109 (million)
% 1.56/1.74 % (25549)------------------------------
% 1.56/1.74 % (25549)------------------------------
% 1.56/1.74 % (25557)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_25390 for (2995ds/298Mi)
% 1.56/1.74 % (25547)Instruction limit reached!
% 1.56/1.74 % (25547)------------------------------
% 1.56/1.74 % (25547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.74 % (25547)Termination reason: Unknown
% 1.56/1.74 % (25547)Termination phase: Saturation
% 1.56/1.74
% 1.56/1.74 % (25547)Memory used [KB]: 5756
% 1.56/1.74 % (25547)Time elapsed: 0.074 s
% 1.56/1.74 % (25547)Instructions burned: 151 (million)
% 1.56/1.74 % (25547)------------------------------
% 1.56/1.74 % (25547)------------------------------
% 1.56/1.74 % (25558)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_25390 for (2995ds/192Mi)
% 1.56/1.75 % (25559)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_25390 for (2995ds/258Mi)
% 1.56/1.75 % (25559)Refutation not found, incomplete strategy
% 1.56/1.75 % (25559)------------------------------
% 1.56/1.75 % (25559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.75 % (25559)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.75
% 1.56/1.75
% 1.56/1.75 % (25559)Memory used [KB]: 5500
% 1.56/1.75 % (25559)Time elapsed: 0.003 s
% 1.56/1.75 % (25559)Instructions burned: 1 (million)
% 1.56/1.75 % (25559)------------------------------
% 1.56/1.75 % (25559)------------------------------
% 1.56/1.76 % (25560)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_25390 for (2995ds/90Mi)
% 1.56/1.76 % (25514)Instruction limit reached!
% 1.56/1.76 % (25514)------------------------------
% 1.56/1.76 % (25514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.76 % (25514)Termination reason: Unknown
% 1.56/1.76 % (25514)Termination phase: Saturation
% 1.56/1.76
% 1.56/1.76 % (25514)Memory used [KB]: 6012
% 1.56/1.76 % (25514)Time elapsed: 0.367 s
% 1.56/1.76 % (25514)Instructions burned: 779 (million)
% 1.56/1.76 % (25514)------------------------------
% 1.56/1.76 % (25514)------------------------------
% 1.56/1.76 % (25560)Refutation not found, incomplete strategy
% 1.56/1.76 % (25560)------------------------------
% 1.56/1.76 % (25560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.76 % (25560)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.76
% 1.56/1.76
% 1.56/1.76 % (25560)Memory used [KB]: 5500
% 1.56/1.76 % (25560)Time elapsed: 0.007 s
% 1.56/1.76 % (25560)Instructions burned: 9 (million)
% 1.56/1.76 % (25560)------------------------------
% 1.56/1.76 % (25560)------------------------------
% 1.56/1.77 % (25561)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_25390 for (2995ds/231Mi)
% 1.56/1.78 % (25562)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_25390 for (2995ds/458Mi)
% 1.56/1.78 % (25563)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_25390 for (2995ds/31Mi)
% 1.56/1.78 % (25562)Refutation not found, incomplete strategy
% 1.56/1.78 % (25562)------------------------------
% 1.56/1.78 % (25562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.78 % (25562)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.78
% 1.56/1.78
% 1.56/1.78 % (25562)Memory used [KB]: 5500
% 1.56/1.78 % (25562)Time elapsed: 0.003 s
% 1.56/1.78 % (25562)Instructions burned: 2 (million)
% 1.56/1.78 % (25562)------------------------------
% 1.56/1.78 % (25562)------------------------------
% 1.56/1.79 % (25556)First to succeed.
% 1.56/1.79 % (25556)Refutation found. Thanks to Tanya!
% 1.56/1.79 % SZS status Theorem for DTF2THF_25390
% 1.56/1.79 % SZS output start Proof for DTF2THF_25390
% 1.56/1.79 thf(type_def_5, type, a: $tType).
% 1.56/1.79 thf(func_def_0, type, a: $tType).
% 1.56/1.79 thf(func_def_7, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.56/1.79 thf(func_def_8, type, sK0: a > a > a > a > $o).
% 1.56/1.79 thf(func_def_9, type, sK1: a).
% 1.56/1.79 thf(func_def_10, type, sK2: a).
% 1.56/1.79 thf(func_def_11, type, sK3: a).
% 1.56/1.79 thf(func_def_12, type, sK4: a).
% 1.56/1.79 thf(func_def_15, type, ph6: !>[X0: $tType]:(X0)).
% 1.56/1.79 thf(f322,plain,(
% 1.56/1.79 $false),
% 1.56/1.79 inference(avatar_sat_refutation,[status(thm)],[f24,f166,f321])).
% 1.56/1.79 thf(f321,plain,(
% 1.56/1.79 ~spl5_1 | spl5_2),
% 1.56/1.79 inference(avatar_contradiction_clause,[status(thm)],[f320])).
% 1.56/1.79 thf(f320,plain,(
% 1.56/1.79 $false | (~spl5_1 | spl5_2)),
% 1.56/1.79 inference(subsumption_resolution,[status(thm)],[f302,f23])).
% 1.56/1.79 thf(f23,plain,(
% 1.56/1.79 (sK4 != sK1) | spl5_2),
% 1.56/1.79 inference(avatar_component_clause,[status(thm)],[f21])).
% 1.56/1.79 thf(f21,definition,(
% 1.56/1.79 spl5_2 <=> (sK4 = sK1)),
% 1.56/1.79 introduced(definition,[new_symbols(naming,[spl5_2])],[avatar_definition])).
% 1.56/1.79 thf(f302,plain,(
% 1.56/1.79 (sK4 = sK1) | ~spl5_1),
% 1.56/1.79 inference(beta_eta_normalization,[status(thm)],[f282])).
% 1.56/1.79 thf(f282,plain,(
% 1.56/1.79 (((^[Y0 : a]: ((^[Y1 : a]: (Y1)))) @ sK2 @ sK4) = ((^[Y0 : a]: ((^[Y1 : a]: (Y1)))) @ sK2 @ sK1)) | ~spl5_1),
% 1.56/1.79 inference(superposition,[status(thm)],[f208,f18])).
% 1.56/1.79 thf(f18,plain,(
% 1.56/1.79 (sK2 = sK3) | ~spl5_1),
% 1.56/1.79 inference(avatar_component_clause,[status(thm)],[f17])).
% 1.56/1.79 thf(f17,definition,(
% 1.56/1.79 spl5_1 <=> (sK2 = sK3)),
% 1.56/1.79 introduced(definition,[new_symbols(naming,[spl5_1])],[avatar_definition])).
% 1.56/1.79 thf(f208,plain,(
% 1.56/1.79 ( ! [X0 : (a > a > a) > a,X1 : a > a > a] : (((X1 @ sK2 @ sK4) = (X1 @ (X1 @ sK2 @ (X0 @ X1)) @ sK1))) ) | ~spl5_1),
% 1.56/1.79 inference(forward_demodulation,[status(thm)],[f130,f18])).
% 1.56/1.79 thf(f130,plain,(
% 1.56/1.79 ( ! [X0 : (a > a > a) > a,X1 : a > a > a] : (((X1 @ sK2 @ sK4) = (X1 @ (X1 @ sK3 @ (X0 @ X1)) @ sK1))) )),
% 1.56/1.79 inference(beta_eta_normalization,[status(thm)],[f126])).
% 1.56/1.79 thf(f126,plain,(
% 1.56/1.79 ( ! [X0 : (a > a > a) > a,X1 : a > a > a] : ((((^[Y0 : a > a > a]: (Y0 @ (Y0 @ sK3 @ (X0 @ Y0)) @ sK1)) @ X1) = ((^[Y0 : a > a > a]: (Y0 @ sK2 @ sK4)) @ X1))) )),
% 1.56/1.79 inference(argument_congruence,[status(thm)],[f111])).
% 1.56/1.79 thf(f111,plain,(
% 1.56/1.79 ( ! [X0 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (Y0 @ sK3 @ (X0 @ Y0)) @ sK1)) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK4)))) )),
% 1.56/1.79 inference(beta_eta_normalization,[status(thm)],[f110])).
% 1.56/1.79 thf(f110,plain,(
% 1.56/1.79 ( ! [X0 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ (X0 @ Y1))) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0))))) )),
% 1.56/1.79 inference(trivial_inequality_removal,[status(thm)],[f97])).
% 1.56/1.79 thf(f97,plain,(
% 1.56/1.79 ( ! [X0 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ (X0 @ Y1))) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0)))) | ($true != $true)) )),
% 1.56/1.79 inference(superposition,[status(thm)],[f13,f15])).
% 1.56/1.79 thf(f15,plain,(
% 1.56/1.79 ((sK0 @ sK2 @ sK4 @ sK3 @ sK1) = $true)),
% 1.56/1.79 inference(cnf_transformation,[status(thm)],[f12])).
% 1.56/1.79 thf(f12,plain,(
% 1.56/1.79 (((sK0 @ sK2 @ sK4 @ sK3 @ sK1) = $true) & ((sK4 != sK1) | (sK2 != sK3))) & ! [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : ((X5 = X6) | ($true != (sK0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))))),
% 1.56/1.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f9,f11,f10])).
% 1.56/1.79 thf(f10,plain,(
% 1.56/1.79 ? [X0 : a > a > a > a > $o] : (? [X1 : a,X2 : a,X3 : a,X4 : a] : (($true = (X0 @ X2 @ X4 @ X3 @ X1)) & ((X1 != X4) | (X2 != X3))) & ! [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : ((X5 = X6) | ((X0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) != $true))) => (? [X4 : a,X3 : a,X2 : a,X1 : a] : (($true = (sK0 @ X2 @ X4 @ X3 @ X1)) & ((X1 != X4) | (X2 != X3))) & ! [X6 : (a > a > a) > a,X5 : (a > a > a) > a] : ((X5 = X6) | ($true != (sK0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))))))),
% 1.56/1.79 introduced(definition,[],[choice_axiom])).
% 1.56/1.79 thf(f11,plain,(
% 1.56/1.79 ? [X4 : a,X3 : a,X2 : a,X1 : a] : (($true = (sK0 @ X2 @ X4 @ X3 @ X1)) & ((X1 != X4) | (X2 != X3))) => (((sK0 @ sK2 @ sK4 @ sK3 @ sK1) = $true) & ((sK4 != sK1) | (sK2 != sK3)))),
% 1.56/1.79 introduced(definition,[],[choice_axiom])).
% 1.56/1.79 thf(f9,plain,(
% 1.56/1.79 ? [X0 : a > a > a > a > $o] : (? [X1 : a,X2 : a,X3 : a,X4 : a] : (($true = (X0 @ X2 @ X4 @ X3 @ X1)) & ((X1 != X4) | (X2 != X3))) & ! [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : ((X5 = X6) | ((X0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) != $true)))),
% 1.56/1.79 inference(rectify,[status(thm)],[f8])).
% 1.56/1.79 thf(f8,plain,(
% 1.56/1.79 ? [X0 : a > a > a > a > $o] : (? [X3 : a,X4 : a,X5 : a,X6 : a] : (($true = (X0 @ X4 @ X6 @ X5 @ X3)) & ((X3 != X6) | (X4 != X5))) & ! [X1 : (a > a > a) > a,X2 : (a > a > a) > a] : ((X1 = X2) | ((X0 @ (X1 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X1 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X2 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X2 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) != $true)))),
% 1.56/1.79 inference(ennf_transformation,[status(thm)],[f7])).
% 1.56/1.79 thf(f7,plain,(
% 1.56/1.79 ~! [X0 : a > a > a > a > $o] : (! [X1 : (a > a > a) > a,X2 : (a > a > a) > a] : (((X0 @ (X1 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X1 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X2 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X2 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) = $true) => (X1 = X2)) => ! [X3 : a,X4 : a,X5 : a,X6 : a] : (($true = (X0 @ X4 @ X6 @ X5 @ X3)) => ((X4 = X5) & (X3 = X6))))),
% 1.56/1.79 inference(rectify,[status(thm)],[f5])).
% 1.56/1.79 thf(f5,plain,(
% 1.56/1.79 ~! [X0 : a > a > a > a > $o] : (! [X1 : (a > a > a) > a,X2 : (a > a > a) > a] : (((X0 @ (X1 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X1 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X2 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X2 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) = $true) => (X1 = X2)) => ! [X11 : a,X12 : a,X13 : a,X14 : a] : (((X0 @ X12 @ X14 @ X13 @ X11) = $true) => ((X11 = X14) & (X12 = X13))))),
% 1.56/1.79 inference(fool_elimination,[status(thm)],[f4])).
% 1.56/1.79 thf(f4,plain,(
% 1.56/1.79 ~! [X0 : a > a > a > a > $o] : (! [X1 : (a > a > a) > a,X2 : (a > a > a) > a] : ((X0 @ (X1 @ (^[X3 : a, X4 : a] : (X3))) @ (X1 @ (^[X5 : a, X6 : a] : (X6))) @ (X2 @ (^[X7 : a, X8 : a] : (X7))) @ (X2 @ (^[X9 : a, X10 : a] : (X10)))) => (X1 = X2)) => ! [X11 : a,X12 : a,X13 : a,X14 : a] : ((X0 @ X12 @ X14 @ X13 @ X11) => ((X11 = X14) & (X12 = X13))))),
% 1.56/1.79 inference(rectify,[status(thm)],[f2])).
% 1.56/1.79 thf(f2,negated_conjecture,(
% 1.56/1.79 ~! [X0 : a > a > a > a > $o] : (! [X1 : (a > a > a) > a,X2 : (a > a > a) > a] : ((X0 @ (X1 @ (^[X3 : a, X4 : a] : (X3))) @ (X1 @ (^[X3 : a, X4 : a] : (X4))) @ (X2 @ (^[X3 : a, X4 : a] : (X3))) @ (X2 @ (^[X3 : a, X4 : a] : (X4)))) => (X1 = X2)) => ! [X8 : a,X5 : a,X7 : a,X6 : a] : ((X0 @ X5 @ X6 @ X7 @ X8) => ((X6 = X8) & (X5 = X7))))),
% 1.56/1.79 inference(negated_conjecture,[status(cth)],[f1])).
% 1.56/1.79 thf(f1,conjecture,(
% 1.56/1.79 ! [X0 : a > a > a > a > $o] : (! [X1 : (a > a > a) > a,X2 : (a > a > a) > a] : ((X0 @ (X1 @ (^[X3 : a, X4 : a] : (X3))) @ (X1 @ (^[X3 : a, X4 : a] : (X4))) @ (X2 @ (^[X3 : a, X4 : a] : (X3))) @ (X2 @ (^[X3 : a, X4 : a] : (X4)))) => (X1 = X2)) => ! [X8 : a,X5 : a,X7 : a,X6 : a] : ((X0 @ X5 @ X6 @ X7 @ X8) => ((X6 = X8) & (X5 = X7))))),
% 1.56/1.79 file('/export/starexec/sandbox/tmp/tmp.jvjh69V0FX/DTF2THF_25390.p',cTHM189_pme)).
% 1.56/1.79 thf(f13,plain,(
% 1.56/1.79 ( ! [X6 : (a > a > a) > a,X5 : (a > a > a) > a] : (($true != (sK0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) | (X5 = X6)) )),
% 1.56/1.79 inference(cnf_transformation,[status(thm)],[f12])).
% 1.56/1.79 thf(f166,plain,(
% 1.56/1.79 spl5_1),
% 1.56/1.79 inference(avatar_contradiction_clause,[status(thm)],[f165])).
% 1.56/1.79 thf(f165,plain,(
% 1.56/1.79 $false | spl5_1),
% 1.56/1.79 inference(flex-flex_simplify,[status(thm)],[f164])).
% 1.56/1.79 thf(f164,plain,(
% 1.56/1.79 ( ! [X6 : a,X5 : (a > a > a) > a > a] : (((X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) != (^[Y0 : a]: (X6)))) ) | spl5_1),
% 1.56/1.79 inference(subsumption_resolution,[status(thm)],[f148,f19])).
% 1.56/1.79 thf(f19,plain,(
% 1.56/1.79 (sK2 != sK3) | spl5_1),
% 1.56/1.79 inference(avatar_component_clause,[status(thm)],[f17])).
% 1.56/1.79 thf(f148,plain,(
% 1.56/1.79 ( ! [X6 : a,X5 : (a > a > a) > a > a] : (((X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) != (^[Y0 : a]: (X6))) | (sK2 = sK3)) )),
% 1.56/1.79 inference(beta_eta_normalization,[status(thm)],[f139])).
% 1.56/1.79 thf(f139,plain,(
% 1.56/1.79 ( ! [X6 : a,X5 : (a > a > a) > a > a] : (((^[Y0 : a]: (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1)))) @ Y0)) != (^[Y0 : a]: (X6))) | (((^[Y0 : a]: ((^[Y1 : a]: (Y0)))) @ sK2 @ sK4) = ((^[Y0 : a]: ((^[Y1 : a]: (Y0)))) @ sK3 @ X6))) )),
% 1.56/1.79 inference(constrained_superposition,[status(thm)],[f122,f25])).
% 1.56/1.79 thf(f25,plain,(
% 1.56/1.79 ( ! [X0 : $tType,X1 : X0] : (((@@+ @ X0 @ (= @ X1)) = X1)) )),
% 1.56/1.79 inference(leibniz_equality_elimination,[status(thm)],[f6])).
% 1.56/1.79 thf(f6,plain,(
% 1.56/1.79 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : (((X1 @ (@@+ @ X0 @ X1)) = $true) | ($false = (X1 @ X2))) )),
% 1.56/1.79 introduced(definition,[],[choice_axiom])).
% 1.56/1.79 thf(f122,plain,(
% 1.56/1.79 ( ! [X2 : a > a > a,X1 : (a > a > a) > a] : (((X2 @ sK3 @ (X2 @ (X1 @ X2) @ sK1)) = (X2 @ sK2 @ sK4))) )),
% 1.56/1.79 inference(beta_eta_normalization,[status(thm)],[f118])).
% 1.56/1.79 thf(f118,plain,(
% 1.56/1.79 ( ! [X2 : a > a > a,X1 : (a > a > a) > a] : ((((^[Y0 : a > a > a]: (Y0 @ sK2 @ sK4)) @ X2) = ((^[Y0 : a > a > a]: (Y0 @ sK3 @ (Y0 @ (X1 @ Y0) @ sK1))) @ X2))) )),
% 1.56/1.79 inference(argument_congruence,[status(thm)],[f109])).
% 1.56/1.79 thf(f109,plain,(
% 1.56/1.79 ( ! [X1 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ sK3 @ (Y0 @ (X1 @ Y0) @ sK1))) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK4)))) )),
% 1.56/1.79 inference(beta_eta_normalization,[status(thm)],[f108])).
% 1.56/1.79 thf(f108,plain,(
% 1.56/1.79 ( ! [X1 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (Y1 @ (X1 @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ Y0))))) )),
% 1.56/1.79 inference(trivial_inequality_removal,[status(thm)],[f98])).
% 1.56/1.79 thf(f98,plain,(
% 1.56/1.79 ( ! [X1 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (Y1 @ (X1 @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ Y0)))) | ($true != $true)) )),
% 1.56/1.79 inference(superposition,[status(thm)],[f13,f15])).
% 1.56/1.79 thf(f24,plain,(
% 1.56/1.79 ~spl5_1 | ~spl5_2),
% 1.56/1.79 inference(avatar_split_clause,[status(thm)],[f14,f21,f17])).
% 1.56/1.79 thf(f14,plain,(
% 1.56/1.79 (sK2 != sK3) | (sK4 != sK1)),
% 1.56/1.79 inference(cnf_transformation,[status(thm)],[f12])).
% 1.56/1.79 % SZS output end Proof for DTF2THF_25390
% 1.56/1.79 % (25556)------------------------------
% 1.56/1.79 % (25556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.56/1.79 % (25556)Termination reason: Refutation
% 1.56/1.79
% 1.56/1.79 % (25556)Memory used [KB]: 6140
% 1.56/1.79 % (25556)Time elapsed: 0.064 s
% 1.56/1.79 % (25556)Instructions burned: 125 (million)
% 1.56/1.79 % (25556)------------------------------
% 1.56/1.79 % (25556)------------------------------
% 1.56/1.79 % (25486)Success in time 0.475 s
%------------------------------------------------------------------------------