%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU647^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:35:56 AM UTC 2026
% Result : Theorem 1.73s 1.32s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 320 ( 71 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 554 ( 10 ~; 3 |; 11 &; 483 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 10 con; 0-2 aty)
% ( 23 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 90 ( 28 ^; 50 !; 12 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_2,type,
setadjoin: $i > $i > $i ).
thf(func_def_6,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(f48,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f47]) ).
thf(f47,plain,
sK0 != sK0,
inference(superposition,[status(thm)],[f21,f43]) ).
thf(f43,plain,
sK3 = sK0,
inference(trivial_inequality_removal,[status(thm)],[f41]) ).
thf(f41,plain,
( ( $false = $true )
| ( sK3 = sK0 ) ),
inference(superposition,[status(thm)],[f40,f35]) ).
thf(f35,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) ) )
| ( X2 = X3 ) ),
inference(equality_proxy_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) ) )
| ( $true
= ( X3 = X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
=> ( X3 = X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
=> ( Y0 = X2 ) )
@ X3 ) ),
inference(pi_clausification,[status(thm)],[f31]) ).
thf(f31,plain,
! [X2: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
=> ( Y0 = X2 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f30]) ).
thf(f30,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
=> ( Y1 = Y0 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y1 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f28]) ).
thf(f28,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) )
=> ( Y2 = Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f23]) ).
thf(f23,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) )
=> ( Y2 = Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[status(thm)],[f18,f16]) ).
thf(f16,plain,
( setukpairinjL1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
( setukpairinjL1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ ( setadjoin @ Y1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y2 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f8]) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X1 ) )
= setukpairinjL1 ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X0: $i,X2: $i,X1: $i] :
( ( ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X2 ) )
= setukpairinjL1 ),
file('/export/starexec/sandbox2/tmp/tmp.JYOVNaDvd3/DTF2THF_19104.p',setukpairinjL1) ).
thf(f18,plain,
setukpairinjL1 = $true,
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f15,plain,
( ( sK3 != sK0 )
& ( ( setadjoin @ ( setadjoin @ sK0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK0 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK2 @ emptyset ) ) @ emptyset ) ) )
& ( setadjoinIL = $true )
& ( setukpairinjL1 = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f13,f14]) ).
thf(f14,plain,
( ? [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 != X3 )
& ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ) )
=> ( ( sK3 != sK0 )
& ( ( setadjoin @ ( setadjoin @ sK0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK0 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK2 @ emptyset ) ) @ emptyset ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f13,plain,
( ? [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 != X3 )
& ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ) )
& ( setadjoinIL = $true )
& ( setukpairinjL1 = $true ) ),
inference(flattening,[status(thm)],[f12]) ).
thf(f12,plain,
( ? [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 != X3 )
& ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ) )
& ( setukpairinjL1 = $true )
& ( setadjoinIL = $true ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
~ ( ( setadjoinIL = $true )
=> ( ( setukpairinjL1 = $true )
=> ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X3 ) ) ) ),
inference(fool_elimination,[status(thm)],[f6]) ).
thf(f6,plain,
~ ( setadjoinIL
=> ( setukpairinjL1
=> ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X3 ) ) ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,negated_conjecture,
~ ( setadjoinIL
=> ( setukpairinjL1
=> ! [X0: $i,X1: $i,X3: $i,X2: $i] :
( ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f3,conjecture,
( setadjoinIL
=> ( setukpairinjL1
=> ! [X0: $i,X1: $i,X3: $i,X2: $i] :
( ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JYOVNaDvd3/DTF2THF_19104.p',setukpairinjL2) ).
thf(f40,plain,
( $true
= ( in @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK0 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) ) ) ),
inference(superposition,[status(thm)],[f27,f20]) ).
thf(f20,plain,
( ( setadjoin @ ( setadjoin @ sK0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK0 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK2 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f27,plain,
! [X2: $i,X1: $i] :
( $true
= ( in @ X2 @ ( setadjoin @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f26]) ).
thf(f26,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] : ( in @ Y0 @ ( setadjoin @ Y0 @ X1 ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( in @ Y0 @ ( setadjoin @ Y0 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f24]) ).
thf(f24,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y1 @ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[status(thm)],[f19,f17]) ).
thf(f17,plain,
( setadjoinIL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( setadjoinIL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( in @ Y1 @ ( setadjoin @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f10]) ).
thf(f10,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
= setadjoinIL ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( setadjoin @ X0 @ X1 ) )
= setadjoinIL ),
file('/export/starexec/sandbox2/tmp/tmp.JYOVNaDvd3/DTF2THF_19104.p',setadjoinIL) ).
thf(f19,plain,
setadjoinIL = $true,
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f21,plain,
sK3 != sK0,
inference(cnf_transformation,[status(thm)],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU647^2 : TPTP v9.2.1. Released v3.7.0.
% 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n031.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 12:31:03 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.20/0.46 ---- Original DTF file ---
% 0.20/0.46 thf(spec,logic,$$dhol).
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 % File : SEU647^2 : TPTP v9.2.1. Released v3.7.0.
% 0.20/0.46 % Domain : Set Theory
% 0.20/0.46 % Problem : Ordered Pairs - Properties of Pairs
% 0.20/0.46 % Version : Especial > Reduced > Especial.
% 0.20/0.46 % English : (! x:i.! y:i.! z:i.! u:i.setadjoin (setadjoin x emptyset)
% 0.20/0.46 % (setadjoin (setadjoin x (setadjoin y emptyset)) emptyset) =
% 0.20/0.46 % setadjoin (setadjoin z emptyset) (setadjoin (setadjoin z
% 0.20/0.46 % (setadjoin u emptyset)) emptyset) -> x = z)
% 0.20/0.46
% 0.20/0.46 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.20/0.46 % Source : [Bro08]
% 0.20/0.46 % Names : ZFC149l [Bro08]
% 0.20/0.46
% 0.20/0.46 % Status : Theorem
% 0.20/0.46 % Rating : 0.00 v8.2.0, 0.15 v8.1.0, 0.09 v7.5.0, 0.00 v6.3.0, 0.20 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.33 v5.4.0, 0.40 v5.3.0, 0.60 v5.2.0, 0.40 v4.1.0, 0.00 v4.0.1, 0.33 v3.7.0
% 0.20/0.46 % Syntax : Number of formulae : 8 ( 2 unt; 5 typ; 2 def)
% 0.20/0.46 % Number of atoms : 11 ( 5 equ; 0 cnn)
% 0.20/0.46 % Maximal formula atoms : 4 ( 3 avg)
% 0.20/0.46 % Number of connectives : 42 ( 0 ~; 0 |; 0 &; 38 @)
% 0.20/0.46 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.20/0.46 % Maximal formula depth : 8 ( 3 avg)
% 0.20/0.46 % Number of types : 2 ( 0 usr)
% 0.20/0.46 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.20/0.46 % Number of symbols : 6 ( 5 usr; 3 con; 0-2 aty)
% 0.20/0.46 % Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% 0.20/0.46 % SPC : TH0_THM_EQU_NAR
% 0.20/0.46
% 0.20/0.46 % Comments : http://mathgate.info/detsetitem.php?id=204
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 thf(in_type,type,
% 0.20/0.46 in: $i > $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(emptyset_type,type,
% 0.20/0.46 emptyset: $i ).
% 0.20/0.46
% 0.20/0.46 thf(setadjoin_type,type,
% 0.20/0.46 setadjoin: $i > $i > $i ).
% 0.20/0.46
% 0.20/0.46 thf(setadjoinIL_type,type,
% 0.20/0.46 setadjoinIL: $o ).
% 0.20/0.46
% 0.20/0.46 thf(setadjoinIL,definition,
% 0.20/0.46 ( setadjoinIL
% 0.20/0.46 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 thf(setukpairinjL1_type,type,
% 0.20/0.46 setukpairinjL1: $o ).
% 0.20/0.46
% 0.20/0.46 thf(setukpairinjL1,definition,
% 0.20/0.46 ( setukpairinjL1
% 0.20/0.46 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.20/0.46 ( ( in @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
% 0.20/0.46 => ( Xx = Xz ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 thf(setukpairinjL2,conjecture,
% 0.20/0.46 ( setadjoinIL
% 0.20/0.46 => ( setukpairinjL1
% 0.20/0.46 => ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 0.20/0.46 ( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 0.20/0.46 = ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
% 0.20/0.46 => ( Xx = Xz ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 ------------------------
% 1.54/1.29 ---- Embedded in THF ---
% 1.54/1.30 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.54/1.30 %%% Generated on Tue Feb 24 12:31:04 EST 2026
% 1.54/1.30 %%% using '$$dhol' embedding, version 1.3.0.
% 1.54/1.30 %%% Logic specification used:
% 1.54/1.30 %%% thf(spec, logic, $$dhol).
% 1.54/1.30
% 1.54/1.30 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.JYOVNaDvd3/DTF2DTF19104.p
% See solution above
% 1.54/1.30 ------------------------
% 1.73/1.31 ---- Cleaned THF ---
% 1.73/1.31 thf(in_type,type,
% 1.73/1.31 in: $i > $i > $o ).
% 1.73/1.31
% 1.73/1.31 thf(emptyset_type,type,
% 1.73/1.31 emptyset: $i ).
% 1.73/1.31
% 1.73/1.31 thf(setadjoin_type,type,
% 1.73/1.31 setadjoin: $i > $i > $i ).
% 1.73/1.31
% 1.73/1.31 thf(setadjoinIL_type,type,
% 1.73/1.31 setadjoinIL: $o ).
% 1.73/1.31
% 1.73/1.31 thf(setadjoinIL,definition,
% 1.73/1.31 ( setadjoinIL
% 1.73/1.31 = ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
% 1.73/1.31
% 1.73/1.31 thf(setukpairinjL1_type,type,
% 1.73/1.31 setukpairinjL1: $o ).
% 1.73/1.31
% 1.73/1.31 thf(setukpairinjL1,definition,
% 1.73/1.31 ( setukpairinjL1
% 1.73/1.31 = ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 1.73/1.31 ( ( in @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
% 1.73/1.31 => ( Xx = Xz ) ) ) ) ).
% 1.73/1.31
% 1.73/1.31 thf(setukpairinjL2,conjecture,
% 1.73/1.31 ( setadjoinIL
% 1.73/1.31 => ( setukpairinjL1
% 1.73/1.31 => ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
% 1.73/1.31 ( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
% 1.73/1.31 = ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
% 1.73/1.31 => ( Xx = Xz ) ) ) ) ).
% 1.73/1.31 ------------------------
% 1.73/1.32 % (19246)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_19104 for (3000ds/27Mi)
% 1.73/1.32 % (19246)First to succeed.
% 1.73/1.32 % (19250)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_19104 for (3000ds/18Mi)
% 1.73/1.32 % (19246)Refutation found. Thanks to Tanya!
% 1.73/1.32 % SZS status Theorem for DTF2THF_19104
% 1.73/1.32 % SZS output start Proof for DTF2THF_19104
% 1.73/1.32 thf(func_def_0, type, in: $i > $i > $o).
% 1.73/1.32 thf(func_def_2, type, setadjoin: $i > $i > $i).
% 1.73/1.32 thf(func_def_6, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.73/1.32 thf(f48,plain,(
% 1.73/1.32 $false),
% 1.73/1.32 inference(trivial_inequality_removal,[status(thm)],[f47])).
% 1.73/1.32 thf(f47,plain,(
% 1.73/1.32 (sK0 != sK0)),
% 1.73/1.32 inference(superposition,[status(thm)],[f21,f43])).
% 1.73/1.32 thf(f43,plain,(
% 1.73/1.32 (sK3 = sK0)),
% 1.73/1.32 inference(trivial_inequality_removal,[status(thm)],[f41])).
% 1.73/1.32 thf(f41,plain,(
% 1.73/1.32 ($false = $true) | (sK3 = sK0)),
% 1.73/1.32 inference(superposition,[status(thm)],[f40,f35])).
% 1.73/1.32 thf(f35,plain,(
% 1.73/1.32 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) | (X2 = X3)) )),
% 1.73/1.32 inference(equality_proxy_clausification,[status(thm)],[f34])).
% 1.73/1.32 thf(f34,plain,(
% 1.73/1.32 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X1 @ emptyset)) @ emptyset)))) | ($true = (X3 = X2))) )),
% 1.73/1.32 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 1.73/1.32 thf(f33,plain,(
% 1.73/1.32 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) => (X3 = X2)))) )),
% 1.73/1.32 inference(beta_eta_normalization,[status(thm)],[f32])).
% 1.73/1.32 thf(f32,plain,(
% 1.73/1.32 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) => (Y0 = X2))) @ X3))) )),
% 1.73/1.32 inference(pi_clausification,[status(thm)],[f31])).
% 1.73/1.32 thf(f31,plain,(
% 1.73/1.32 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) => (Y0 = X2)))) = $true)) )),
% 1.73/1.32 inference(beta_eta_normalization,[status(thm)],[f30])).
% 1.73/1.32 thf(f30,plain,(
% 1.73/1.32 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) => (Y1 = Y0))))) @ X2) = $true)) )),
% 1.73/1.32 inference(pi_clausification,[status(thm)],[f29])).
% 1.73/1.32 thf(f29,plain,(
% 1.73/1.32 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) => (Y1 = Y0)))))))) )),
% 1.73/1.32 inference(beta_eta_normalization,[status(thm)],[f28])).
% 1.73/1.32 thf(f28,plain,(
% 1.73/1.32 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ (setadjoin @ Y0 @ emptyset)) @ emptyset))) => (Y2 = Y1))))))) @ X1))) )),
% 1.73/1.32 inference(pi_clausification,[status(thm)],[f23])).
% 1.73/1.32 thf(f23,plain,(
% 1.73/1.32 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ (setadjoin @ Y0 @ emptyset)) @ emptyset))) => (Y2 = Y1)))))))) = $true)),
% 1.73/1.32 inference(definition_unfolding,[status(thm)],[f18,f16])).
% 1.73/1.32 thf(f16,plain,(
% 1.73/1.32 (setukpairinjL1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ (setadjoin @ Y0 @ emptyset)) @ emptyset))) => (Y2 = Y1)))))))))),
% 1.73/1.32 inference(cnf_transformation,[status(thm)],[f9])).
% 1.73/1.32 thf(f9,plain,(
% 1.73/1.32 (setukpairinjL1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ (setadjoin @ Y0 @ emptyset)) @ emptyset))) => (Y2 = Y1)))))))))),
% 1.73/1.32 inference(fool_elimination,[status(thm)],[f8])).
% 1.73/1.32 thf(f8,plain,(
% 1.73/1.32 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)) @ emptyset))) => (X0 = X1)) = setukpairinjL1)),
% 1.73/1.32 inference(rectify,[status(thm)],[f2])).
% 1.73/1.32 thf(f2,axiom,(
% 1.73/1.32 (! [X0 : $i,X2 : $i,X1 : $i] : ((in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) => (X0 = X2)) = setukpairinjL1)),
% 1.73/1.32 file('/export/starexec/sandbox2/tmp/tmp.JYOVNaDvd3/DTF2THF_19104.p',setukpairinjL1)).
% 1.73/1.32 thf(f18,plain,(
% 1.73/1.32 (setukpairinjL1 = $true)),
% 1.73/1.32 inference(cnf_transformation,[status(thm)],[f15])).
% 1.73/1.32 thf(f15,plain,(
% 1.73/1.32 ((sK3 != sK0) & ((setadjoin @ (setadjoin @ sK0 @ emptyset) @ (setadjoin @ (setadjoin @ sK0 @ (setadjoin @ sK1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK3 @ emptyset) @ (setadjoin @ (setadjoin @ sK3 @ (setadjoin @ sK2 @ emptyset)) @ emptyset)))) & (setadjoinIL = $true) & (setukpairinjL1 = $true)),
% 1.73/1.32 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f13,f14])).
% 1.73/1.32 thf(f14,plain,(
% 1.73/1.32 ? [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : ((X0 != X3) & ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset)))) => ((sK3 != sK0) & ((setadjoin @ (setadjoin @ sK0 @ emptyset) @ (setadjoin @ (setadjoin @ sK0 @ (setadjoin @ sK1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK3 @ emptyset) @ (setadjoin @ (setadjoin @ sK3 @ (setadjoin @ sK2 @ emptyset)) @ emptyset))))),
% 1.73/1.32 introduced(definition,[],[choice_axiom])).
% 1.73/1.32 thf(f13,plain,(
% 1.73/1.32 ? [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : ((X0 != X3) & ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset)))) & (setadjoinIL = $true) & (setukpairinjL1 = $true)),
% 1.73/1.32 inference(flattening,[status(thm)],[f12])).
% 1.73/1.32 thf(f12,plain,(
% 1.73/1.32 (? [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : ((X0 != X3) & ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset)))) & (setukpairinjL1 = $true)) & (setadjoinIL = $true)),
% 1.73/1.32 inference(ennf_transformation,[status(thm)],[f7])).
% 1.73/1.32 thf(f7,plain,(
% 1.73/1.32 ~((setadjoinIL = $true) => ((setukpairinjL1 = $true) => ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset))) => (X0 = X3))))),
% 1.73/1.32 inference(fool_elimination,[status(thm)],[f6])).
% 1.73/1.32 thf(f6,plain,(
% 1.73/1.32 ~(setadjoinIL => (setukpairinjL1 => ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset))) => (X0 = X3))))),
% 1.73/1.32 inference(rectify,[status(thm)],[f4])).
% 1.73/1.32 thf(f4,negated_conjecture,(
% 1.73/1.32 ~(setadjoinIL => (setukpairinjL1 => ! [X0 : $i,X1 : $i,X3 : $i,X2 : $i] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))) => (X0 = X2))))),
% 1.73/1.32 inference(negated_conjecture,[status(cth)],[f3])).
% 1.73/1.32 thf(f3,conjecture,(
% 1.73/1.32 setadjoinIL => (setukpairinjL1 => ! [X0 : $i,X1 : $i,X3 : $i,X2 : $i] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))) => (X0 = X2)))),
% 1.73/1.32 file('/export/starexec/sandbox2/tmp/tmp.JYOVNaDvd3/DTF2THF_19104.p',setukpairinjL2)).
% 1.73/1.32 thf(f40,plain,(
% 1.73/1.32 ($true = (in @ (setadjoin @ sK3 @ emptyset) @ (setadjoin @ (setadjoin @ sK0 @ emptyset) @ (setadjoin @ (setadjoin @ sK0 @ (setadjoin @ sK1 @ emptyset)) @ emptyset))))),
% 1.73/1.32 inference(superposition,[status(thm)],[f27,f20])).
% 1.73/1.32 thf(f20,plain,(
% 1.73/1.32 ((setadjoin @ (setadjoin @ sK0 @ emptyset) @ (setadjoin @ (setadjoin @ sK0 @ (setadjoin @ sK1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK3 @ emptyset) @ (setadjoin @ (setadjoin @ sK3 @ (setadjoin @ sK2 @ emptyset)) @ emptyset)))),
% 1.73/1.32 inference(cnf_transformation,[status(thm)],[f15])).
% 1.73/1.32 thf(f27,plain,(
% 1.73/1.32 ( ! [X2 : $i,X1 : $i] : (($true = (in @ X2 @ (setadjoin @ X2 @ X1)))) )),
% 1.73/1.32 inference(beta_eta_normalization,[status(thm)],[f26])).
% 1.73/1.32 thf(f26,plain,(
% 1.73/1.32 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ X1))) @ X2))) )),
% 1.73/1.32 inference(pi_clausification,[status(thm)],[f25])).
% 1.73/1.32 thf(f25,plain,(
% 1.73/1.32 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ X1)))))) )),
% 1.73/1.32 inference(beta_eta_normalization,[status(thm)],[f24])).
% 1.73/1.32 thf(f24,plain,(
% 1.73/1.32 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y1 @ (setadjoin @ Y1 @ Y0))))) @ X1) = $true)) )),
% 1.73/1.32 inference(pi_clausification,[status(thm)],[f22])).
% 1.73/1.32 thf(f22,plain,(
% 1.73/1.32 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y1 @ (setadjoin @ Y1 @ Y0)))))) = $true)),
% 1.73/1.32 inference(definition_unfolding,[status(thm)],[f19,f17])).
% 1.73/1.32 thf(f17,plain,(
% 1.73/1.32 (setadjoinIL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y1 @ (setadjoin @ Y1 @ Y0)))))))),
% 1.73/1.32 inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.32 thf(f11,plain,(
% 1.73/1.32 (setadjoinIL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y1 @ (setadjoin @ Y1 @ Y0)))))))),
% 1.73/1.32 inference(fool_elimination,[status(thm)],[f10])).
% 1.73/1.32 thf(f10,plain,(
% 1.73/1.32 (! [X0 : $i,X1 : $i] : (in @ X0 @ (setadjoin @ X0 @ X1)) = setadjoinIL)),
% 1.73/1.32 inference(rectify,[status(thm)],[f1])).
% 1.73/1.32 thf(f1,axiom,(
% 1.73/1.32 (! [X0 : $i,X1 : $i] : (in @ X0 @ (setadjoin @ X0 @ X1)) = setadjoinIL)),
% 1.73/1.32 file('/export/starexec/sandbox2/tmp/tmp.JYOVNaDvd3/DTF2THF_19104.p',setadjoinIL)).
% 1.73/1.32 thf(f19,plain,(
% 1.73/1.32 (setadjoinIL = $true)),
% 1.73/1.32 inference(cnf_transformation,[status(thm)],[f15])).
% 1.73/1.32 thf(f21,plain,(
% 1.73/1.32 (sK3 != sK0)),
% 1.73/1.32 inference(cnf_transformation,[status(thm)],[f15])).
% 1.73/1.32 % SZS output end Proof for DTF2THF_19104
% 1.73/1.32 % (19246)------------------------------
% 1.73/1.32 % (19246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.32 % (19246)Termination reason: Refutation
% 1.73/1.32
% 1.73/1.32 % (19246)Memory used [KB]: 5628
% 1.73/1.32 % (19246)Time elapsed: 0.005 s
% 1.73/1.32 % (19246)Instructions burned: 7 (million)
% 1.73/1.32 % (19246)------------------------------
% 1.73/1.32 % (19246)------------------------------
% 1.73/1.32 % (19243)Success in time 0.014 s
%------------------------------------------------------------------------------