%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU577^2 : 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 : n001.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 09:35:23 AM UTC 2026
% Result : Theorem 0.23s 1.33s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 532 ( 153 equ; 0 cnn)
% Maximal formula atoms : 8 ( 11 avg)
% Number of connectives : 507 ( 67 ~; 55 |; 38 &; 314 @)
% ( 5 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 104 ( 0 ^; 79 !; 25 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
powerset: $i > $i ).
thf(func_def_4,type,
subset: $i > $i > $o ).
thf(func_def_12,type,
sK4: $i > $i > $i ).
thf(f59,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f58,f29]) ).
thf(f29,plain,
( ( subset @ sK0 @ sK1 )
!= $true ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f18,plain,
( ( powersetE = $true )
& ( subsetI1 = $true )
& ( ( subset @ sK0 @ sK1 )
!= $true )
& ( $true
= ( in @ sK0 @ ( powerset @ sK1 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f17]) ).
thf(f17,plain,
( ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
& ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) ) )
=> ( ( ( subset @ sK0 @ sK1 )
!= $true )
& ( $true
= ( in @ sK0 @ ( powerset @ sK1 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f14,plain,
( ( powersetE = $true )
& ( subsetI1 = $true )
& ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
& ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) ) ) ),
inference(flattening,[status(thm)],[f13]) ).
thf(f13,plain,
( ? [X0: $i,X1: $i] :
( ( ( subset @ X0 @ X1 )
!= $true )
& ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) ) )
& ( subsetI1 = $true )
& ( powersetE = $true ) ),
inference(ennf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
~ ( ( powersetE = $true )
=> ( ( subsetI1 = $true )
=> ! [X1: $i,X0: $i] :
( ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) )
=> ( ( subset @ X0 @ X1 )
= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f8]) ).
thf(f8,plain,
~ ( powersetE
=> ( subsetI1
=> ! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
=> ( subset @ X0 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,negated_conjecture,
~ ( powersetE
=> ( subsetI1
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ X1 @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f3,conjecture,
( powersetE
=> ( subsetI1
=> ! [X1: $i,X0: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ( subset @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JFswn6c7nx/DTF2THF_15941.p',powersetE1) ).
thf(f58,plain,
( ( subset @ sK0 @ sK1 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f57]) ).
thf(f57,plain,
( ( $true != $true )
| ( ( subset @ sK0 @ sK1 )
= $true ) ),
inference(superposition,[status(thm)],[f48,f56]) ).
thf(f56,plain,
( ( in @ ( sK4 @ sK0 @ sK1 ) @ sK1 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f55]) ).
thf(f55,plain,
( ( $true != $true )
| ( ( in @ ( sK4 @ sK0 @ sK1 ) @ sK1 )
= $true ) ),
inference(superposition,[status(thm)],[f54,f52]) ).
thf(f52,plain,
( ( in @ ( sK4 @ sK0 @ sK1 ) @ sK0 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f51]) ).
thf(f51,plain,
( ( $true != $true )
| ( ( in @ ( sK4 @ sK0 @ sK1 ) @ sK0 )
= $true ) ),
inference(superposition,[status(thm)],[f29,f49]) ).
thf(f49,plain,
! [X3: $i,X4: $i] :
( ( ( subset @ X4 @ X3 )
= $true )
| ( ( in @ ( sK4 @ X4 @ X3 ) @ X4 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f42]) ).
thf(f42,plain,
! [X3: $i,X4: $i] :
( ( ( in @ ( sK4 @ X4 @ X3 ) @ X4 )
= $true )
| ( ( subset @ X4 @ X3 )
= $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f33,f30]) ).
thf(f30,plain,
subsetI1 = $true,
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f33,plain,
! [X3: $i,X4: $i] :
( ( ( in @ ( sK4 @ X4 @ X3 ) @ X4 )
= $true )
| ( ( subset @ X4 @ X3 )
= $true )
| ( subsetI1 != $true ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f23,plain,
( ( ( subsetI1 = $true )
| ( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ sK3 ) )
| ( ( in @ X2 @ sK2 )
= $true ) )
& ( ( subset @ sK3 @ sK2 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i] :
( ( ( ( in @ ( sK4 @ X4 @ X3 ) @ X4 )
= $true )
& ( $true
!= ( in @ ( sK4 @ X4 @ X3 ) @ X3 ) ) )
| ( ( subset @ X4 @ X3 )
= $true ) )
| ( subsetI1 != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f20,f22,f21]) ).
thf(f21,plain,
( ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true ) )
& ( ( subset @ X1 @ X0 )
!= $true ) )
=> ( ! [X2: $i] :
( ( $true
!= ( in @ X2 @ sK3 ) )
| ( ( in @ X2 @ sK2 )
= $true ) )
& ( ( subset @ sK3 @ sK2 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f22,plain,
! [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( ( in @ X5 @ X4 )
= $true )
& ( $true
!= ( in @ X5 @ X3 ) ) )
=> ( ( ( in @ ( sK4 @ X4 @ X3 ) @ X4 )
= $true )
& ( $true
!= ( in @ ( sK4 @ X4 @ X3 ) @ X3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f20,plain,
( ( ( subsetI1 = $true )
| ? [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X1 )
!= $true )
| ( ( in @ X2 @ X0 )
= $true ) )
& ( ( subset @ X1 @ X0 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i] :
( ? [X5: $i] :
( ( ( in @ X5 @ X4 )
= $true )
& ( $true
!= ( in @ X5 @ X3 ) ) )
| ( ( subset @ X4 @ X3 )
= $true ) )
| ( subsetI1 != $true ) ) ),
inference(rectify,[status(thm)],[f19]) ).
thf(f19,plain,
( ( ( subsetI1 = $true )
| ? [X1: $i,X0: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X0 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true ) )
& ( ( subset @ X0 @ X1 )
!= $true ) ) )
& ( ! [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
& ( ( in @ X2 @ X1 )
!= $true ) )
| ( ( subset @ X0 @ X1 )
= $true ) )
| ( subsetI1 != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
( ( subsetI1 = $true )
<=> ! [X1: $i,X0: $i] :
( ? [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
& ( ( in @ X2 @ X1 )
!= $true ) )
| ( ( subset @ X0 @ X1 )
= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( in @ X2 @ X1 )
= $true ) )
=> ( ( subset @ X0 @ X1 )
= $true ) )
<=> ( subsetI1 = $true ) ),
inference(fool_elimination,[status(thm)],[f6]) ).
thf(f6,plain,
! [X0: $i,X1: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) )
= subsetI1 ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X0: $i,X1: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) )
= subsetI1 ),
file('/export/starexec/sandbox2/tmp/tmp.JFswn6c7nx/DTF2THF_15941.p',subsetI1) ).
thf(f54,plain,
! [X0: $i] :
( ( ( in @ X0 @ sK0 )
!= $true )
| ( $true
= ( in @ X0 @ sK1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f53]) ).
thf(f53,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( in @ X0 @ sK0 )
!= $true ) ),
inference(superposition,[status(thm)],[f50,f28]) ).
thf(f28,plain,
( $true
= ( in @ sK0 @ ( powerset @ sK1 ) ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f50,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X4 @ ( powerset @ X3 ) ) )
| ( $true
= ( in @ X5 @ X3 ) )
| ( ( in @ X5 @ X4 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f47]) ).
thf(f47,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true != $true )
| ( $true
!= ( in @ X4 @ ( powerset @ X3 ) ) )
| ( $true
= ( in @ X5 @ X3 ) )
| ( ( in @ X5 @ X4 )
!= $true ) ),
inference(definition_unfolding,[status(thm)],[f36,f31]) ).
thf(f31,plain,
powersetE = $true,
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f36,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X4 @ ( powerset @ X3 ) ) )
| ( ( in @ X5 @ X4 )
!= $true )
| ( $true
= ( in @ X5 @ X3 ) )
| ( powersetE != $true ) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
thf(f27,plain,
( ( ( powersetE = $true )
| ( ( ( in @ sK6 @ ( powerset @ sK5 ) )
= $true )
& ( ( in @ sK7 @ sK6 )
= $true )
& ( $true
!= ( in @ sK7 @ sK5 ) ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X4 @ ( powerset @ X3 ) ) )
| ( ( in @ X5 @ X4 )
!= $true )
| ( $true
= ( in @ X5 @ X3 ) ) )
| ( powersetE != $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f25,f26]) ).
thf(f26,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ( ( in @ X2 @ X1 )
= $true )
& ( ( in @ X2 @ X0 )
!= $true ) )
=> ( ( ( in @ sK6 @ ( powerset @ sK5 ) )
= $true )
& ( ( in @ sK7 @ sK6 )
= $true )
& ( $true
!= ( in @ sK7 @ sK5 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f25,plain,
( ( ( powersetE = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
& ( ( in @ X2 @ X1 )
= $true )
& ( ( in @ X2 @ X0 )
!= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
!= ( in @ X4 @ ( powerset @ X3 ) ) )
| ( ( in @ X5 @ X4 )
!= $true )
| ( $true
= ( in @ X5 @ X3 ) ) )
| ( powersetE != $true ) ) ),
inference(rectify,[status(thm)],[f24]) ).
thf(f24,plain,
( ( ( powersetE = $true )
| ? [X1: $i,X0: $i,X2: $i] :
( ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) )
& ( ( in @ X2 @ X0 )
= $true )
& ( ( in @ X2 @ X1 )
!= $true ) ) )
& ( ! [X1: $i,X0: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ ( powerset @ X1 ) ) )
| ( ( in @ X2 @ X0 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true ) )
| ( powersetE != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
( ( powersetE = $true )
<=> ! [X1: $i,X0: $i,X2: $i] :
( ( $true
!= ( in @ X0 @ ( powerset @ X1 ) ) )
| ( ( in @ X2 @ X0 )
!= $true )
| ( ( in @ X2 @ X1 )
= $true ) ) ),
inference(flattening,[status(thm)],[f15]) ).
thf(f15,plain,
( ( powersetE = $true )
<=> ! [X2: $i,X1: $i,X0: $i] :
( ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ X0 )
!= $true )
| ( $true
!= ( in @ X0 @ ( powerset @ X1 ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( ( powersetE = $true )
<=> ! [X2: $i,X1: $i,X0: $i] :
( ( $true
= ( in @ X0 @ ( powerset @ X1 ) ) )
=> ( ( ( in @ X2 @ X0 )
= $true )
=> ( ( in @ X2 @ X1 )
= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f10]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ ( powerset @ X1 ) )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) )
= powersetE ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) )
= powersetE ),
file('/export/starexec/sandbox2/tmp/tmp.JFswn6c7nx/DTF2THF_15941.p',powersetE) ).
thf(f48,plain,
! [X3: $i,X4: $i] :
( ( $true
!= ( in @ ( sK4 @ X4 @ X3 ) @ X3 ) )
| ( ( subset @ X4 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f43]) ).
thf(f43,plain,
! [X3: $i,X4: $i] :
( ( $true
!= ( in @ ( sK4 @ X4 @ X3 ) @ X3 ) )
| ( ( subset @ X4 @ X3 )
= $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f32,f30]) ).
thf(f32,plain,
! [X3: $i,X4: $i] :
( ( $true
!= ( in @ ( sK4 @ X4 @ X3 ) @ X3 ) )
| ( ( subset @ X4 @ X3 )
= $true )
| ( subsetI1 != $true ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU577^2 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.30 % Computer : n001.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Feb 24 12:28:05 EST 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.39 ---- Original DTF file ---
% 0.16/0.39 thf(spec,logic,$$dhol).
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 % File : SEU577^2 : TPTP v9.2.1. Released v3.7.0.
% 0.16/0.39 % Domain : Set Theory
% 0.16/0.39 % Problem : Preliminary Notions - Relations on Sets - Subsets
% 0.16/0.39 % Version : Especial > Reduced > Especial.
% 0.16/0.39 % English : (! A:i.! B:i.in B (powerset A) -> subset B A)
% 0.16/0.39
% 0.16/0.39 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.16/0.39 % Source : [Bro08]
% 0.16/0.39 % Names : ZFC079l [Bro08]
% 0.16/0.39
% 0.16/0.39 % Status : Theorem
% 0.16/0.39 % Rating : 0.00 v8.2.0, 0.08 v8.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v3.7.0
% 0.16/0.39 % Syntax : Number of formulae : 8 ( 2 unt; 5 typ; 2 def)
% 0.16/0.39 % Number of atoms : 14 ( 2 equ; 0 cnn)
% 0.16/0.39 % Maximal formula atoms : 4 ( 4 avg)
% 0.16/0.39 % Number of connectives : 25 ( 0 ~; 0 |; 0 &; 18 @)
% 0.16/0.39 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.16/0.39 % Maximal formula depth : 8 ( 3 avg)
% 0.16/0.39 % Number of types : 2 ( 0 usr)
% 0.16/0.39 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.16/0.39 % Number of symbols : 6 ( 5 usr; 2 con; 0-2 aty)
% 0.16/0.39 % Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% 0.16/0.39 % SPC : TH0_THM_EQU_NAR
% 0.16/0.39
% 0.16/0.39 % Comments : http://mathgate.info/detsetitem.php?id=257
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 thf(in_type,type,
% 0.16/0.39 in: $i > $i > $o ).
% 0.16/0.39
% 0.16/0.39 thf(powerset_type,type,
% 0.16/0.39 powerset: $i > $i ).
% 0.16/0.39
% 0.16/0.39 thf(powersetE_type,type,
% 0.16/0.39 powersetE: $o ).
% 0.16/0.39
% 0.16/0.39 thf(powersetE,definition,
% 0.16/0.39 ( powersetE
% 0.16/0.39 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.16/0.39 ( ( in @ B @ ( powerset @ A ) )
% 0.16/0.39 => ( ( in @ Xx @ B )
% 0.16/0.39 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 thf(subset_type,type,
% 0.16/0.39 subset: $i > $i > $o ).
% 0.16/0.39
% 0.16/0.39 thf(subsetI1_type,type,
% 0.16/0.39 subsetI1: $o ).
% 0.16/0.39
% 0.16/0.39 thf(subsetI1,definition,
% 0.16/0.39 ( subsetI1
% 0.16/0.39 = ( ! [A: $i,B: $i] :
% 0.16/0.39 ( ! [Xx: $i] :
% 0.16/0.39 ( ( in @ Xx @ A )
% 0.16/0.39 => ( in @ Xx @ B ) )
% 0.16/0.39 => ( subset @ A @ B ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 thf(powersetE1,conjecture,
% 0.16/0.39 ( powersetE
% 0.16/0.39 => ( subsetI1
% 0.16/0.39 => ! [A: $i,B: $i] :
% 0.16/0.39 ( ( in @ B @ ( powerset @ A ) )
% 0.16/0.39 => ( subset @ B @ A ) ) ) ) ).
% 0.16/0.39
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 ------------------------
% 0.23/1.30 ---- Embedded in THF ---
% 0.23/1.30 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.23/1.30 %%% Generated on Tue Feb 24 12:28:06 EST 2026
% 0.23/1.30 %%% using '$$dhol' embedding, version 1.3.0.
% 0.23/1.30 %%% Logic specification used:
% 0.23/1.30 %%% thf(spec, logic, $$dhol).
% 0.23/1.30
% 0.23/1.30 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.JFswn6c7nx/DTF2DTF15941.p
% See solution above
% 0.23/1.30 ------------------------
% 0.23/1.31 ---- Cleaned THF ---
% 0.23/1.31 thf(in_type,type,
% 0.23/1.31 in: $i > $i > $o ).
% 0.23/1.31
% 0.23/1.31 thf(powerset_type,type,
% 0.23/1.31 powerset: $i > $i ).
% 0.23/1.31
% 0.23/1.31 thf(powersetE_type,type,
% 0.23/1.31 powersetE: $o ).
% 0.23/1.31
% 0.23/1.31 thf(powersetE,definition,
% 0.23/1.31 ( powersetE
% 0.23/1.31 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.23/1.31 ( ( in @ B @ ( powerset @ A ) )
% 0.23/1.31 => ( ( in @ Xx @ B )
% 0.23/1.31 => ( in @ Xx @ A ) ) ) ) ) ).
% 0.23/1.31
% 0.23/1.31 thf(subset_type,type,
% 0.23/1.31 subset: $i > $i > $o ).
% 0.23/1.31
% 0.23/1.31 thf(subsetI1_type,type,
% 0.23/1.31 subsetI1: $o ).
% 0.23/1.31
% 0.23/1.31 thf(subsetI1,definition,
% 0.23/1.31 ( subsetI1
% 0.23/1.31 = ( ! [A: $i,B: $i] :
% 0.23/1.31 ( ! [Xx: $i] :
% 0.23/1.31 ( ( in @ Xx @ A )
% 0.23/1.31 => ( in @ Xx @ B ) )
% 0.23/1.31 => ( subset @ A @ B ) ) ) ) ).
% 0.23/1.31
% 0.23/1.31 thf(powersetE1,conjecture,
% 0.23/1.31 ( powersetE
% 0.23/1.31 => ( subsetI1
% 0.23/1.31 => ! [A: $i,B: $i] :
% 0.23/1.31 ( ( in @ B @ ( powerset @ A ) )
% 0.23/1.31 => ( subset @ B @ A ) ) ) ) ).
% 0.23/1.31 ------------------------
% 0.23/1.33 % (16044)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_15941 for (2999ds/18Mi)
% 0.23/1.33 % (16039)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_15941 for (2999ds/4Mi)
% 0.23/1.33 % (16043)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_15941 for (2999ds/275Mi)
% 0.23/1.33 % (16042)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_15941 for (2999ds/2Mi)
% 0.23/1.33 % (16041)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_15941 for (2999ds/2Mi)
% 0.23/1.33 % (16038)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_15941 for (2999ds/183Mi)
% 0.23/1.33 % (16040)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_15941 for (2999ds/27Mi)
% 0.23/1.33 % (16041)Instruction limit reached!
% 0.23/1.33 % (16041)------------------------------
% 0.23/1.33 % (16041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.23/1.33 % (16041)Termination reason: Unknown
% 0.23/1.33 % (16041)Termination phase: Saturation
% 0.23/1.33 % (16042)Instruction limit reached!
% 0.23/1.33 % (16042)------------------------------
% 0.23/1.33 % (16042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.23/1.33 % (16042)Termination reason: Unknown
% 0.23/1.33 % (16042)Termination phase: Saturation
% 0.23/1.33
% 0.23/1.33 % (16042)Memory used [KB]: 5500
% 0.23/1.33 % (16042)Time elapsed: 0.003 s
% 0.23/1.33 % (16042)Instructions burned: 3 (million)
% 0.23/1.33 % (16042)------------------------------
% 0.23/1.33 % (16042)------------------------------
% 0.23/1.33
% 0.23/1.33 % (16041)Memory used [KB]: 5500
% 0.23/1.33 % (16041)Time elapsed: 0.003 s
% 0.23/1.33 % (16041)Instructions burned: 3 (million)
% 0.23/1.33 % (16041)------------------------------
% 0.23/1.33 % (16041)------------------------------
% 0.23/1.33 % (16039)Instruction limit reached!
% 0.23/1.33 % (16039)------------------------------
% 0.23/1.33 % (16039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.23/1.33 % (16044)First to succeed.
% 0.23/1.33 % (16039)Termination reason: Unknown
% 0.23/1.33 % (16039)Termination phase: Saturation
% 0.23/1.33
% 0.23/1.33 % (16039)Memory used [KB]: 5500
% 0.23/1.33 % (16039)Time elapsed: 0.004 s
% 0.23/1.33 % (16039)Instructions burned: 5 (million)
% 0.23/1.33 % (16039)------------------------------
% 0.23/1.33 % (16039)------------------------------
% 0.23/1.33 % (16043)Also succeeded, but the first one will report.
% 0.23/1.33 % (16044)Refutation found. Thanks to Tanya!
% 0.23/1.33 % SZS status Theorem for DTF2THF_15941
% 0.23/1.33 % SZS output start Proof for DTF2THF_15941
% 0.23/1.33 thf(func_def_0, type, in: $i > $i > $o).
% 0.23/1.33 thf(func_def_1, type, powerset: $i > $i).
% 0.23/1.33 thf(func_def_4, type, subset: $i > $i > $o).
% 0.23/1.33 thf(func_def_12, type, sK4: $i > $i > $i).
% 0.23/1.33 thf(f59,plain,(
% 0.23/1.33 $false),
% 0.23/1.33 inference(subsumption_resolution,[status(thm)],[f58,f29])).
% 0.23/1.33 thf(f29,plain,(
% 0.23/1.33 ((subset @ sK0 @ sK1) != $true)),
% 0.23/1.33 inference(cnf_transformation,[status(thm)],[f18])).
% 0.23/1.33 thf(f18,plain,(
% 0.23/1.33 (powersetE = $true) & (subsetI1 = $true) & (((subset @ sK0 @ sK1) != $true) & ($true = (in @ sK0 @ (powerset @ sK1))))),
% 0.23/1.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f17])).
% 0.23/1.33 thf(f17,plain,(
% 0.23/1.33 ? [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) != $true) & ($true = (in @ X0 @ (powerset @ X1)))) => (((subset @ sK0 @ sK1) != $true) & ($true = (in @ sK0 @ (powerset @ sK1))))),
% 0.23/1.33 introduced(definition,[],[choice_axiom])).
% 0.23/1.33 thf(f14,plain,(
% 0.23/1.33 (powersetE = $true) & (subsetI1 = $true) & ? [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) != $true) & ($true = (in @ X0 @ (powerset @ X1))))),
% 0.23/1.33 inference(flattening,[status(thm)],[f13])).
% 0.23/1.33 thf(f13,plain,(
% 0.23/1.33 (? [X0 : $i,X1 : $i] : (((subset @ X0 @ X1) != $true) & ($true = (in @ X0 @ (powerset @ X1)))) & (subsetI1 = $true)) & (powersetE = $true)),
% 0.23/1.33 inference(ennf_transformation,[status(thm)],[f9])).
% 0.23/1.33 thf(f9,plain,(
% 0.23/1.33 ~((powersetE = $true) => ((subsetI1 = $true) => ! [X1 : $i,X0 : $i] : (($true = (in @ X0 @ (powerset @ X1))) => ((subset @ X0 @ X1) = $true))))),
% 0.23/1.33 inference(fool_elimination,[status(thm)],[f8])).
% 0.23/1.33 thf(f8,plain,(
% 0.23/1.33 ~(powersetE => (subsetI1 => ! [X0 : $i,X1 : $i] : ((in @ X0 @ (powerset @ X1)) => (subset @ X0 @ X1))))),
% 0.23/1.33 inference(rectify,[status(thm)],[f4])).
% 0.23/1.33 thf(f4,negated_conjecture,(
% 0.23/1.33 ~(powersetE => (subsetI1 => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => (subset @ X1 @ X0))))),
% 0.23/1.33 inference(negated_conjecture,[status(cth)],[f3])).
% 0.23/1.33 thf(f3,conjecture,(
% 0.23/1.33 powersetE => (subsetI1 => ! [X1 : $i,X0 : $i] : ((in @ X1 @ (powerset @ X0)) => (subset @ X1 @ X0)))),
% 0.23/1.33 file('/export/starexec/sandbox2/tmp/tmp.JFswn6c7nx/DTF2THF_15941.p',powersetE1)).
% 0.23/1.33 thf(f58,plain,(
% 0.23/1.33 ((subset @ sK0 @ sK1) = $true)),
% 0.23/1.33 inference(trivial_inequality_removal,[status(thm)],[f57])).
% 0.23/1.33 thf(f57,plain,(
% 0.23/1.33 ($true != $true) | ((subset @ sK0 @ sK1) = $true)),
% 0.23/1.33 inference(superposition,[status(thm)],[f48,f56])).
% 0.23/1.33 thf(f56,plain,(
% 0.23/1.33 ((in @ (sK4 @ sK0 @ sK1) @ sK1) = $true)),
% 0.23/1.33 inference(trivial_inequality_removal,[status(thm)],[f55])).
% 0.23/1.33 thf(f55,plain,(
% 0.23/1.33 ($true != $true) | ((in @ (sK4 @ sK0 @ sK1) @ sK1) = $true)),
% 0.23/1.33 inference(superposition,[status(thm)],[f54,f52])).
% 0.23/1.33 thf(f52,plain,(
% 0.23/1.33 ((in @ (sK4 @ sK0 @ sK1) @ sK0) = $true)),
% 0.23/1.33 inference(trivial_inequality_removal,[status(thm)],[f51])).
% 0.23/1.33 thf(f51,plain,(
% 0.23/1.33 ($true != $true) | ((in @ (sK4 @ sK0 @ sK1) @ sK0) = $true)),
% 0.23/1.33 inference(superposition,[status(thm)],[f29,f49])).
% 0.23/1.33 thf(f49,plain,(
% 0.23/1.33 ( ! [X3 : $i,X4 : $i] : (((subset @ X4 @ X3) = $true) | ((in @ (sK4 @ X4 @ X3) @ X4) = $true)) )),
% 0.23/1.33 inference(trivial_inequality_removal,[status(thm)],[f42])).
% 0.23/1.33 thf(f42,plain,(
% 0.23/1.33 ( ! [X3 : $i,X4 : $i] : (((in @ (sK4 @ X4 @ X3) @ X4) = $true) | ((subset @ X4 @ X3) = $true) | ($true != $true)) )),
% 0.23/1.33 inference(definition_unfolding,[status(thm)],[f33,f30])).
% 0.23/1.33 thf(f30,plain,(
% 0.23/1.33 (subsetI1 = $true)),
% 0.23/1.33 inference(cnf_transformation,[status(thm)],[f18])).
% 0.23/1.33 thf(f33,plain,(
% 0.23/1.33 ( ! [X3 : $i,X4 : $i] : (((in @ (sK4 @ X4 @ X3) @ X4) = $true) | ((subset @ X4 @ X3) = $true) | (subsetI1 != $true)) )),
% 0.23/1.33 inference(cnf_transformation,[status(thm)],[f23])).
% 0.23/1.33 thf(f23,plain,(
% 0.23/1.33 ((subsetI1 = $true) | (! [X2 : $i] : (($true != (in @ X2 @ sK3)) | ((in @ X2 @ sK2) = $true)) & ((subset @ sK3 @ sK2) != $true))) & (! [X3 : $i,X4 : $i] : ((((in @ (sK4 @ X4 @ X3) @ X4) = $true) & ($true != (in @ (sK4 @ X4 @ X3) @ X3))) | ((subset @ X4 @ X3) = $true)) | (subsetI1 != $true))),
% 0.23/1.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f20,f22,f21])).
% 0.23/1.33 thf(f21,plain,(
% 0.23/1.33 ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ X0) = $true)) & ((subset @ X1 @ X0) != $true)) => (! [X2 : $i] : (($true != (in @ X2 @ sK3)) | ((in @ X2 @ sK2) = $true)) & ((subset @ sK3 @ sK2) != $true))),
% 0.23/1.33 introduced(definition,[],[choice_axiom])).
% 0.23/1.33 thf(f22,plain,(
% 0.23/1.33 ! [X3 : $i,X4 : $i] : (? [X5 : $i] : (((in @ X5 @ X4) = $true) & ($true != (in @ X5 @ X3))) => (((in @ (sK4 @ X4 @ X3) @ X4) = $true) & ($true != (in @ (sK4 @ X4 @ X3) @ X3))))),
% 0.23/1.33 introduced(definition,[],[choice_axiom])).
% 0.23/1.33 thf(f20,plain,(
% 0.23/1.33 ((subsetI1 = $true) | ? [X0 : $i,X1 : $i] : (! [X2 : $i] : (((in @ X2 @ X1) != $true) | ((in @ X2 @ X0) = $true)) & ((subset @ X1 @ X0) != $true))) & (! [X3 : $i,X4 : $i] : (? [X5 : $i] : (((in @ X5 @ X4) = $true) & ($true != (in @ X5 @ X3))) | ((subset @ X4 @ X3) = $true)) | (subsetI1 != $true))),
% 0.23/1.33 inference(rectify,[status(thm)],[f19])).
% 0.23/1.33 thf(f19,plain,(
% 0.23/1.33 ((subsetI1 = $true) | ? [X1 : $i,X0 : $i] : (! [X2 : $i] : (((in @ X2 @ X0) != $true) | ((in @ X2 @ X1) = $true)) & ((subset @ X0 @ X1) != $true))) & (! [X1 : $i,X0 : $i] : (? [X2 : $i] : (((in @ X2 @ X0) = $true) & ((in @ X2 @ X1) != $true)) | ((subset @ X0 @ X1) = $true)) | (subsetI1 != $true))),
% 0.23/1.33 inference(nnf_transformation,[status(thm)],[f12])).
% 0.23/1.33 thf(f12,plain,(
% 0.23/1.33 (subsetI1 = $true) <=> ! [X1 : $i,X0 : $i] : (? [X2 : $i] : (((in @ X2 @ X0) = $true) & ((in @ X2 @ X1) != $true)) | ((subset @ X0 @ X1) = $true))),
% 0.23/1.33 inference(ennf_transformation,[status(thm)],[f7])).
% 0.23/1.33 thf(f7,plain,(
% 0.23/1.33 ! [X0 : $i,X1 : $i] : (! [X2 : $i] : (((in @ X2 @ X0) = $true) => ((in @ X2 @ X1) = $true)) => ((subset @ X0 @ X1) = $true)) <=> (subsetI1 = $true)),
% 0.23/1.33 inference(fool_elimination,[status(thm)],[f6])).
% 0.23/1.33 thf(f6,plain,(
% 0.23/1.33 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)) = subsetI1)),
% 0.23/1.33 inference(rectify,[status(thm)],[f2])).
% 0.23/1.33 thf(f2,axiom,(
% 0.23/1.33 (! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)) = subsetI1)),
% 0.23/1.33 file('/export/starexec/sandbox2/tmp/tmp.JFswn6c7nx/DTF2THF_15941.p',subsetI1)).
% 0.23/1.33 thf(f54,plain,(
% 0.23/1.33 ( ! [X0 : $i] : (((in @ X0 @ sK0) != $true) | ($true = (in @ X0 @ sK1))) )),
% 0.23/1.33 inference(trivial_inequality_removal,[status(thm)],[f53])).
% 0.23/1.33 thf(f53,plain,(
% 0.23/1.33 ( ! [X0 : $i] : (($true = (in @ X0 @ sK1)) | ($true != $true) | ((in @ X0 @ sK0) != $true)) )),
% 0.23/1.33 inference(superposition,[status(thm)],[f50,f28])).
% 0.23/1.33 thf(f28,plain,(
% 0.23/1.33 ($true = (in @ sK0 @ (powerset @ sK1)))),
% 0.23/1.33 inference(cnf_transformation,[status(thm)],[f18])).
% 0.23/1.33 thf(f50,plain,(
% 0.23/1.33 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (powerset @ X3))) | ($true = (in @ X5 @ X3)) | ((in @ X5 @ X4) != $true)) )),
% 0.23/1.33 inference(trivial_inequality_removal,[status(thm)],[f47])).
% 0.23/1.33 thf(f47,plain,(
% 0.23/1.33 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != $true) | ($true != (in @ X4 @ (powerset @ X3))) | ($true = (in @ X5 @ X3)) | ((in @ X5 @ X4) != $true)) )),
% 0.23/1.33 inference(definition_unfolding,[status(thm)],[f36,f31])).
% 0.23/1.33 thf(f31,plain,(
% 0.23/1.33 (powersetE = $true)),
% 0.23/1.33 inference(cnf_transformation,[status(thm)],[f18])).
% 0.23/1.33 thf(f36,plain,(
% 0.23/1.33 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (powerset @ X3))) | ((in @ X5 @ X4) != $true) | ($true = (in @ X5 @ X3)) | (powersetE != $true)) )),
% 0.23/1.33 inference(cnf_transformation,[status(thm)],[f27])).
% 0.23/1.33 thf(f27,plain,(
% 0.23/1.33 ((powersetE = $true) | (((in @ sK6 @ (powerset @ sK5)) = $true) & ((in @ sK7 @ sK6) = $true) & ($true != (in @ sK7 @ sK5)))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (powerset @ X3))) | ((in @ X5 @ X4) != $true) | ($true = (in @ X5 @ X3))) | (powersetE != $true))),
% 0.23/1.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f25,f26])).
% 0.23/1.33 thf(f26,plain,(
% 0.23/1.33 ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (powerset @ X0)) = $true) & ((in @ X2 @ X1) = $true) & ((in @ X2 @ X0) != $true)) => (((in @ sK6 @ (powerset @ sK5)) = $true) & ((in @ sK7 @ sK6) = $true) & ($true != (in @ sK7 @ sK5)))),
% 0.23/1.33 introduced(definition,[],[choice_axiom])).
% 0.23/1.33 thf(f25,plain,(
% 0.23/1.33 ((powersetE = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (powerset @ X0)) = $true) & ((in @ X2 @ X1) = $true) & ((in @ X2 @ X0) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X4 @ (powerset @ X3))) | ((in @ X5 @ X4) != $true) | ($true = (in @ X5 @ X3))) | (powersetE != $true))),
% 0.23/1.33 inference(rectify,[status(thm)],[f24])).
% 0.23/1.33 thf(f24,plain,(
% 0.23/1.33 ((powersetE = $true) | ? [X1 : $i,X0 : $i,X2 : $i] : (($true = (in @ X0 @ (powerset @ X1))) & ((in @ X2 @ X0) = $true) & ((in @ X2 @ X1) != $true))) & (! [X1 : $i,X0 : $i,X2 : $i] : (($true != (in @ X0 @ (powerset @ X1))) | ((in @ X2 @ X0) != $true) | ((in @ X2 @ X1) = $true)) | (powersetE != $true))),
% 0.23/1.33 inference(nnf_transformation,[status(thm)],[f16])).
% 0.23/1.33 thf(f16,plain,(
% 0.23/1.33 (powersetE = $true) <=> ! [X1 : $i,X0 : $i,X2 : $i] : (($true != (in @ X0 @ (powerset @ X1))) | ((in @ X2 @ X0) != $true) | ((in @ X2 @ X1) = $true))),
% 0.23/1.33 inference(flattening,[status(thm)],[f15])).
% 0.23/1.33 thf(f15,plain,(
% 0.23/1.33 (powersetE = $true) <=> ! [X2 : $i,X1 : $i,X0 : $i] : ((((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) != $true)) | ($true != (in @ X0 @ (powerset @ X1))))),
% 0.23/1.33 inference(ennf_transformation,[status(thm)],[f11])).
% 0.23/1.33 thf(f11,plain,(
% 0.23/1.33 (powersetE = $true) <=> ! [X2 : $i,X1 : $i,X0 : $i] : (($true = (in @ X0 @ (powerset @ X1))) => (((in @ X2 @ X0) = $true) => ((in @ X2 @ X1) = $true)))),
% 0.23/1.33 inference(fool_elimination,[status(thm)],[f10])).
% 0.23/1.33 thf(f10,plain,(
% 0.23/1.33 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ (powerset @ X1)) => ((in @ X2 @ X0) => (in @ X2 @ X1))) = powersetE)),
% 0.23/1.33 inference(rectify,[status(thm)],[f1])).
% 0.23/1.33 thf(f1,axiom,(
% 0.23/1.33 (! [X1 : $i,X0 : $i,X2 : $i] : ((in @ X1 @ (powerset @ X0)) => ((in @ X2 @ X1) => (in @ X2 @ X0))) = powersetE)),
% 0.23/1.33 file('/export/starexec/sandbox2/tmp/tmp.JFswn6c7nx/DTF2THF_15941.p',powersetE)).
% 0.23/1.33 thf(f48,plain,(
% 0.23/1.33 ( ! [X3 : $i,X4 : $i] : (($true != (in @ (sK4 @ X4 @ X3) @ X3)) | ((subset @ X4 @ X3) = $true)) )),
% 0.23/1.33 inference(trivial_inequality_removal,[status(thm)],[f43])).
% 0.23/1.33 thf(f43,plain,(
% 0.23/1.33 ( ! [X3 : $i,X4 : $i] : (($true != (in @ (sK4 @ X4 @ X3) @ X3)) | ((subset @ X4 @ X3) = $true) | ($true != $true)) )),
% 0.23/1.33 inference(definition_unfolding,[status(thm)],[f32,f30])).
% 0.23/1.33 thf(f32,plain,(
% 0.23/1.33 ( ! [X3 : $i,X4 : $i] : (($true != (in @ (sK4 @ X4 @ X3) @ X3)) | ((subset @ X4 @ X3) = $true) | (subsetI1 != $true)) )),
% 0.23/1.33 inference(cnf_transformation,[status(thm)],[f23])).
% 0.23/1.33 % SZS output end Proof for DTF2THF_15941
% 0.23/1.33 % (16044)------------------------------
% 0.23/1.33 % (16044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.23/1.33 % (16044)Termination reason: Refutation
% 0.23/1.33
% 0.23/1.33 % (16044)Memory used [KB]: 5500
% 0.23/1.33 % (16044)Time elapsed: 0.007 s
% 0.23/1.33 % (16044)Instructions burned: 4 (million)
% 0.23/1.33 % (16044)------------------------------
% 0.23/1.33 % (16044)------------------------------
% 0.23/1.33 % (16037)Success in time 0.02 s
%------------------------------------------------------------------------------