%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV428^1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 09:41:13 AM UTC 2026
% Result : Theorem 1.66s 1.66s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 53 ( 18 unt; 0 typ; 4 def)
% Number of atoms : 277 ( 58 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 332 ( 28 ~; 32 |; 43 &; 221 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 68 ( 68 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 8 con; 0-2 aty)
% ( 0 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 71 ( 48 ^; 17 !; 6 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
eps: ( $i > $o ) > $i ).
thf(func_def_2,type,
epsio: ( ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_3,type,
setunion: ( ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_4,type,
choosenonempty: ( ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_5,type,
c: ( $i > $o ) > $o ).
thf(func_def_7,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_17,type,
sK1: $i > $o ).
thf(func_def_19,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f86,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f45,f59,f74,f76,f77]) ).
thf(f77,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f50,f42,f57]) ).
thf(f57,definition,
( spl0_4
<=> ! [X1: $i > $o] :
( ( $false
= ( X1 @ ( eps @ X1 ) ) )
| ( ( c @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f42,definition,
( spl0_2
<=> ( $true
= ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f50,plain,
! [X1: $i > $o] :
( ( ( c @ X1 )
= $false )
| ( $true
= ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) ) )
| ( $false
= ( X1 @ ( eps @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f49]) ).
thf(f49,plain,
! [X1: $i > $o] :
( ( ( ( c @ X1 )
& ( X1 @ ( eps @ X1 ) ) )
= $false )
| ( $true
= ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
! [X1: $i > $o] :
( ( ( ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) )
& ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) ) ) )
= $true )
| ( ( ( c @ X1 )
& ( X1 @ ( eps @ X1 ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f46]) ).
thf(f46,plain,
! [X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ X1 ) )
| ( ( ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f76,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[status(thm)],[f75]) ).
thf(f75,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[status(thm)],[f55,f40]) ).
thf(f40,plain,
( ! [X0: $i] :
( $true
!= ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ X0 ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f39]) ).
thf(f39,definition,
( spl0_1
<=> ! [X0: $i] :
( $true
!= ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f55,plain,
( ( $true
= ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f53]) ).
thf(f53,definition,
( spl0_3
<=> ( $true
= ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f74,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[status(thm)],[f73]) ).
thf(f73,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f72]) ).
thf(f72,plain,
( ( $false = $true )
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f37,f71]) ).
thf(f71,plain,
( ! [X1: $i] :
( ( sK1 @ X1 )
= $false )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f70]) ).
thf(f70,plain,
( ! [X1: $i] :
( ( ( sK1 @ X1 )
= $false )
| ( $false = $true ) )
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f69,f68]) ).
thf(f68,plain,
( ( ( sK1 @ ( eps @ sK1 ) )
= $false )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f64]) ).
thf(f64,plain,
( ( ( sK1 @ ( eps @ sK1 ) )
= $false )
| ( $false = $true )
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f58,f36]) ).
thf(f36,plain,
( ( c @ sK1 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
( $true
= ( ( sK1 @ a )
& ( c @ sK1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f34]) ).
thf(f34,plain,
( ( ^ [Y0: $i > $o] :
( ( Y0 @ a )
& ( c @ Y0 ) )
@ sK1 )
= $true ),
inference(sigma_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ a )
& ( c @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f31]) ).
thf(f31,plain,
( ( ^ [Y0: ( $i > $o ) > $o,Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) )
@ c
@ a )
= $true ),
inference(definition_unfolding,[status(thm)],[f27,f24]) ).
thf(f24,plain,
( setunion
= ( ^ [Y0: ( $i > $o ) > $o,Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
( setunion
= ( ^ [Y0: ( $i > $o ) > $o,Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y1 )
& ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f15]) ).
thf(f15,plain,
( setunion
= ( ^ [X0: ( $i > $o ) > $o,X1: $i] :
? [X2: $i > $o] :
( ( X0 @ X2 )
& ( X2 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
( setunion
= ( ^ [X2: ( $i > $o ) > $o,X1: $i] :
? [X3: $i > $o] :
( ( X2 @ X3 )
& ( X3 @ X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QePvCrowSP/DTF2THF_31001.p',setuniond) ).
thf(f27,plain,
( ( setunion @ c @ a )
= $true ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
( ( setunion @ c @ a )
= $true ),
inference(fool_elimination,[status(thm)],[f9]) ).
thf(f9,plain,
setunion @ c @ a,
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
setunion @ c @ a,
file('/export/starexec/sandbox/tmp/tmp.QePvCrowSP/DTF2THF_31001.p',ca) ).
thf(f58,plain,
( ! [X1: $i > $o] :
( ( ( c @ X1 )
= $false )
| ( $false
= ( X1 @ ( eps @ X1 ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f57]) ).
thf(f69,plain,
! [X1: $i] :
( ( ( sK1 @ ( eps @ sK1 ) )
= $true )
| ( ( sK1 @ X1 )
= $false ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f37,plain,
( ( sK1 @ a )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f35]) ).
thf(f59,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f51,f57,f53]) ).
thf(f51,plain,
! [X1: $i > $o] :
( ( $false
= ( X1 @ ( eps @ X1 ) ) )
| ( $true
= ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) ) ) )
| ( ( c @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
! [X1: $i > $o] :
( ( ( ( c @ X1 )
& ( X1 @ ( eps @ X1 ) ) )
= $false )
| ( $true
= ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ ( eps
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f45,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f32,f42,f39]) ).
thf(f32,plain,
! [X0: $i] :
( ( $true
!= ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) )
@ X0 ) )
| ( $true
!= ( c
@ ( epsio
@ ^ [Y0: $i > $o] :
( ( c @ Y0 )
& ( Y0 @ ( eps @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f30]) ).
thf(f30,plain,
! [X0: $i] :
( ( $true
!= ( ^ [Y0: ( $i > $o ) > $o] :
( epsio
@ ^ [Y1: $i > $o] :
( ( Y0 @ Y1 )
& ( Y1 @ ( eps @ Y1 ) ) ) )
@ c
@ X0 ) )
| ( ( c
@ ( ^ [Y0: ( $i > $o ) > $o] :
( epsio
@ ^ [Y1: $i > $o] :
( ( Y0 @ Y1 )
& ( Y1 @ ( eps @ Y1 ) ) ) )
@ c ) )
!= $true ) ),
inference(definition_unfolding,[status(thm)],[f25,f28,f28]) ).
thf(f28,plain,
( choosenonempty
= ( ^ [Y0: ( $i > $o ) > $o] :
( epsio
@ ^ [Y1: $i > $o] :
( ( Y0 @ Y1 )
& ( Y1 @ ( eps @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
( choosenonempty
= ( ^ [Y0: ( $i > $o ) > $o] :
( epsio
@ ^ [Y1: $i > $o] :
( ( Y0 @ Y1 )
& ( Y1 @ ( eps @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f11]) ).
thf(f11,plain,
( choosenonempty
= ( ^ [X0: ( $i > $o ) > $o] :
( epsio
@ ^ [X1: $i > $o] :
( ( X1 @ ( eps @ X1 ) )
& ( X0 @ X1 ) ) ) ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
( choosenonempty
= ( ^ [X2: ( $i > $o ) > $o] :
( epsio
@ ^ [X3: $i > $o] :
( ( X3 @ ( eps @ X3 ) )
& ( X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QePvCrowSP/DTF2THF_31001.p',choosenonemptyd) ).
thf(f25,plain,
! [X0: $i] :
( ( ( choosenonempty @ c @ X0 )
!= $true )
| ( ( c @ ( choosenonempty @ c ) )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
( ! [X0: $i] :
( ( choosenonempty @ c @ X0 )
!= $true )
| ( ( c @ ( choosenonempty @ c ) )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
~ ( ? [X0: $i] :
( ( choosenonempty @ c @ X0 )
= $true )
& ( ( c @ ( choosenonempty @ c ) )
= $true ) ),
inference(fool_elimination,[status(thm)],[f13]) ).
thf(f13,plain,
~ ( ? [X0: $i] : ( choosenonempty @ c @ X0 )
& ( c @ ( choosenonempty @ c ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,negated_conjecture,
~ ( ? [X1: $i] : ( choosenonempty @ c @ X1 )
& ( c @ ( choosenonempty @ c ) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
thf(f6,conjecture,
( ? [X1: $i] : ( choosenonempty @ c @ X1 )
& ( c @ ( choosenonempty @ c ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QePvCrowSP/DTF2THF_31001.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV428^1 : TPTP v9.2.1. Released v5.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n010.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 12:46:18 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.30/0.45 ---- Original DTF file ---
% 0.30/0.46 thf(spec,logic,$$dhol).
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 % File : SEV428^1 : TPTP v9.2.1. Released v5.2.0.
% 0.30/0.46 % Domain : Set Theory
% 0.30/0.46 % Problem : If a union is nonempty we can choose a nonempty set in the set.
% 0.30/0.46 % Version : Especial.
% 0.30/0.46 % English :
% 0.30/0.46
% 0.30/0.46 % Refs : [Bro11] Brown (2011), Email to Geoff Sutcliffe
% 0.30/0.46 % Source : [Bro11]
% 0.30/0.46 % Names : CHOICE34 [Bro11]
% 0.30/0.46
% 0.30/0.46 % Status : Theorem
% 0.30/0.46 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0, 0.27 v7.5.0, 0.29 v7.4.0, 0.33 v7.2.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.43 v6.1.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.2.0
% 0.30/0.46 % Syntax : Number of formulae : 12 ( 3 unt; 6 typ; 2 def)
% 0.30/0.46 % Number of atoms : 13 ( 2 equ; 0 cnn)
% 0.30/0.46 % Maximal formula atoms : 5 ( 2 avg)
% 0.30/0.46 % Number of connectives : 23 ( 0 ~; 0 |; 3 &; 18 @)
% 0.30/0.46 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.30/0.46 % Maximal formula depth : 5 ( 3 avg)
% 0.30/0.46 % Number of types : 2 ( 0 usr)
% 0.30/0.46 % Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% 0.30/0.46 % Number of symbols : 7 ( 6 usr; 1 con; 0-2 aty)
% 0.30/0.46 % Number of variables : 10 ( 4 ^; 2 !; 4 ?; 10 :)
% 0.30/0.46 % SPC : TH0_THM_EQU_NAR
% 0.30/0.46
% 0.30/0.46 % Comments : Assume eps is a choice function on $i and epsio is a choice
% 0.30/0.46 % function on $i>$o. If the union of a collection C of sets is
% 0.30/0.46 % nonempty, then choosenonempty C := epsio (^ Y . C Y /\ Y (eps Y))
% 0.30/0.46 % gives a nonempty set in C.
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 thf(eps,type,
% 0.30/0.46 eps: ( $i > $o ) > $i ).
% 0.30/0.46
% 0.30/0.46 thf(choiceax,axiom,
% 0.30/0.46 ! [P: $i > $o] :
% 0.30/0.46 ( ? [X: $i] : ( P @ X )
% 0.30/0.46 => ( P @ ( eps @ P ) ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(epsio,type,
% 0.30/0.46 epsio: ( ( $i > $o ) > $o ) > $i > $o ).
% 0.30/0.46
% 0.30/0.46 thf(choiceaxio,axiom,
% 0.30/0.46 ! [P: ( $i > $o ) > $o] :
% 0.30/0.46 ( ? [X: $i > $o] : ( P @ X )
% 0.30/0.46 => ( P @ ( epsio @ P ) ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(setunion,type,
% 0.30/0.46 setunion: ( ( $i > $o ) > $o ) > $i > $o ).
% 0.30/0.46
% 0.30/0.46 thf(setuniond,definition,
% 0.30/0.46 ( setunion
% 0.30/0.46 = ( ^ [C: ( $i > $o ) > $o,X: $i] :
% 0.30/0.46 ? [Y: $i > $o] :
% 0.30/0.46 ( ( C @ Y )
% 0.30/0.46 & ( Y @ X ) ) ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(choosenonempty,type,
% 0.30/0.46 choosenonempty: ( ( $i > $o ) > $o ) > $i > $o ).
% 0.30/0.46
% 0.30/0.46 thf(choosenonemptyd,definition,
% 0.30/0.46 ( choosenonempty
% 0.30/0.46 = ( ^ [C: ( $i > $o ) > $o] :
% 0.30/0.46 ( epsio
% 0.30/0.46 @ ^ [Y: $i > $o] :
% 0.30/0.46 ( ( C @ Y )
% 0.30/0.46 & ( Y @ ( eps @ Y ) ) ) ) ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(c,type,
% 0.30/0.46 c: ( $i > $o ) > $o ).
% 0.30/0.46
% 0.30/0.46 thf(a,type,
% 0.30/0.46 a: $i ).
% 0.30/0.46
% 0.30/0.46 thf(ca,axiom,
% 0.30/0.46 setunion @ c @ a ).
% 0.30/0.46
% 0.30/0.46 thf(conj,conjecture,
% 0.30/0.46 ( ( c @ ( choosenonempty @ c ) )
% 0.30/0.46 & ? [X: $i] : ( choosenonempty @ c @ X ) ) ).
% 0.30/0.46
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 ------------------------
% 1.50/1.27 ---- Embedded in THF ---
% 1.50/1.28 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.28 %%% Generated on Tue Feb 24 12:46:19 EST 2026
% 1.50/1.28 %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.28 %%% Logic specification used:
% 1.50/1.28 %%% thf(spec, logic, $$dhol).
% 1.50/1.28
% 1.50/1.28 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.QePvCrowSP/DTF2DTF31001.p
% See solution above
% 1.50/1.28 ------------------------
% 1.50/1.29 ---- Cleaned THF ---
% 1.50/1.29 thf(eps,type,
% 1.50/1.29 eps: ( $i > $o ) > $i ).
% 1.50/1.29
% 1.50/1.29 thf(choiceax,axiom,
% 1.50/1.29 ! [P: $i > $o] :
% 1.50/1.29 ( ? [X: $i] : ( P @ X )
% 1.50/1.29 => ( P @ ( eps @ P ) ) ) ).
% 1.50/1.29
% 1.50/1.29 thf(epsio,type,
% 1.50/1.29 epsio: ( ( $i > $o ) > $o ) > $i > $o ).
% 1.50/1.29
% 1.50/1.29 thf(choiceaxio,axiom,
% 1.50/1.29 ! [P: ( $i > $o ) > $o] :
% 1.50/1.29 ( ? [X: $i > $o] : ( P @ X )
% 1.50/1.29 => ( P @ ( epsio @ P ) ) ) ).
% 1.50/1.29
% 1.50/1.29 thf(setunion,type,
% 1.50/1.29 setunion: ( ( $i > $o ) > $o ) > $i > $o ).
% 1.50/1.29
% 1.50/1.29 thf(setuniond,definition,
% 1.50/1.29 ( setunion
% 1.50/1.29 = ( ^ [C: ( $i > $o ) > $o,X: $i] :
% 1.50/1.29 ? [Y: $i > $o] :
% 1.50/1.29 ( ( C @ Y )
% 1.50/1.29 & ( Y @ X ) ) ) ) ).
% 1.50/1.29
% 1.50/1.29 thf(choosenonempty,type,
% 1.50/1.29 choosenonempty: ( ( $i > $o ) > $o ) > $i > $o ).
% 1.50/1.29
% 1.50/1.29 thf(choosenonemptyd,definition,
% 1.50/1.29 ( choosenonempty
% 1.50/1.29 = ( ^ [C: ( $i > $o ) > $o] :
% 1.50/1.29 ( epsio
% 1.50/1.29 @ ^ [Y: $i > $o] :
% 1.50/1.29 ( ( C @ Y )
% 1.50/1.29 & ( Y @ ( eps @ Y ) ) ) ) ) ) ).
% 1.50/1.29
% 1.50/1.29 thf(c,type,
% 1.50/1.29 c: ( $i > $o ) > $o ).
% 1.50/1.29
% 1.50/1.29 thf(a,type,
% 1.50/1.29 a: $i ).
% 1.50/1.29
% 1.50/1.29 thf(ca,axiom,
% 1.50/1.29 setunion @ c @ a ).
% 1.50/1.29
% 1.50/1.29 thf(conj,conjecture,
% 1.50/1.29 ( ( c @ ( choosenonempty @ c ) )
% 1.50/1.29 & ? [X: $i] : ( choosenonempty @ c @ X ) ) ).
% 1.50/1.29 ------------------------
% 1.66/1.30 % (31289)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_31001 for (2999ds/275Mi)
% 1.66/1.30 % (31290)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/18Mi)
% 1.66/1.30 % (31289)Refutation not found, incomplete strategy
% 1.66/1.30 % (31289)------------------------------
% 1.66/1.30 % (31289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.30 % (31289)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.30
% 1.66/1.30
% 1.66/1.30 % (31289)Memory used [KB]: 5500
% 1.66/1.30 % (31289)Time elapsed: 0.002 s
% 1.66/1.30 % (31289)Instructions burned: 2 (million)
% 1.66/1.30 % (31289)------------------------------
% 1.66/1.30 % (31289)------------------------------
% 1.66/1.31 % (31284)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/183Mi)
% 1.66/1.31 % (31285)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_31001 for (2999ds/4Mi)
% 1.66/1.31 % (31290)Instruction limit reached!
% 1.66/1.31 % (31290)------------------------------
% 1.66/1.31 % (31290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.31 % (31290)Termination reason: Unknown
% 1.66/1.31 % (31290)Termination phase: Saturation
% 1.66/1.31
% 1.66/1.31 % (31290)Memory used [KB]: 5628
% 1.66/1.31 % (31290)Time elapsed: 0.008 s
% 1.66/1.31 % (31290)Instructions burned: 19 (million)
% 1.66/1.31 % (31290)------------------------------
% 1.66/1.31 % (31290)------------------------------
% 1.66/1.31 % (31286)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_31001 for (2999ds/27Mi)
% 1.66/1.31 % (31287)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/2Mi)
% 1.66/1.31 % (31288)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_31001 for (2999ds/2Mi)
% 1.66/1.31 % (31287)Instruction limit reached!
% 1.66/1.31 % (31287)------------------------------
% 1.66/1.31 % (31287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.31 % (31287)Termination reason: Unknown
% 1.66/1.31 % (31287)Termination phase: Clausification
% 1.66/1.31
% 1.66/1.31 % (31287)Memory used [KB]: 895
% 1.66/1.31 % (31287)Time elapsed: 0.003 s
% 1.66/1.31 % (31287)Instructions burned: 2 (million)
% 1.66/1.31 % (31287)------------------------------
% 1.66/1.31 % (31287)------------------------------
% 1.66/1.31 % (31288)Instruction limit reached!
% 1.66/1.31 % (31288)------------------------------
% 1.66/1.31 % (31288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.31 % (31288)Termination reason: Unknown
% 1.66/1.31 % (31288)Termination phase: Unused predicate definition removal
% 1.66/1.31
% 1.66/1.31 % (31288)Memory used [KB]: 895
% 1.66/1.31 % (31288)Time elapsed: 0.003 s
% 1.66/1.31 % (31288)Instructions burned: 2 (million)
% 1.66/1.31 % (31288)------------------------------
% 1.66/1.31 % (31288)------------------------------
% 1.66/1.31 % (31285)Instruction limit reached!
% 1.66/1.31 % (31285)------------------------------
% 1.66/1.31 % (31285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.31 % (31285)Termination reason: Unknown
% 1.66/1.31 % (31285)Termination phase: Saturation
% 1.66/1.31
% 1.66/1.31 % (31285)Memory used [KB]: 5500
% 1.66/1.31 % (31285)Time elapsed: 0.005 s
% 1.66/1.31 % (31285)Instructions burned: 4 (million)
% 1.66/1.31 % (31285)------------------------------
% 1.66/1.31 % (31285)------------------------------
% 1.66/1.31 % (31286)Refutation not found, incomplete strategy
% 1.66/1.31 % (31286)------------------------------
% 1.66/1.31 % (31286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.31 % (31286)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.31
% 1.66/1.31
% 1.66/1.31 % (31286)Memory used [KB]: 5500
% 1.66/1.31 % (31286)Time elapsed: 0.005 s
% 1.66/1.31 % (31286)Instructions burned: 4 (million)
% 1.66/1.31 % (31286)------------------------------
% 1.66/1.31 % (31286)------------------------------
% 1.66/1.31 % (31291)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/3Mi)
% 1.66/1.31 % (31291)Instruction limit reached!
% 1.66/1.31 % (31291)------------------------------
% 1.66/1.31 % (31291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.31 % (31291)Termination reason: Unknown
% 1.66/1.31 % (31291)Termination phase: Saturation
% 1.66/1.31
% 1.66/1.31 % (31291)Memory used [KB]: 5500
% 1.66/1.31 % (31291)Time elapsed: 0.002 s
% 1.66/1.31 % (31291)Instructions burned: 3 (million)
% 1.66/1.31 % (31291)------------------------------
% 1.66/1.31 % (31291)------------------------------
% 1.66/1.32 % (31295)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_31001 for (2999ds/1041Mi)
% 1.66/1.32 % (31297)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/16Mi)
% 1.66/1.33 % (31292)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_31001 for (2999ds/37Mi)
% 1.66/1.33 % (31293)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_31001 for (2999ds/15Mi)
% 1.66/1.33 % (31294)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_31001 for (2999ds/3Mi)
% 1.66/1.33 % (31297)Instruction limit reached!
% 1.66/1.33 % (31297)------------------------------
% 1.66/1.33 % (31297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.33 % (31297)Termination reason: Unknown
% 1.66/1.33 % (31297)Termination phase: Saturation
% 1.66/1.33
% 1.66/1.33 % (31297)Memory used [KB]: 5756
% 1.66/1.33 % (31297)Time elapsed: 0.007 s
% 1.66/1.33 % (31297)Instructions burned: 18 (million)
% 1.66/1.33 % (31297)------------------------------
% 1.66/1.33 % (31297)------------------------------
% 1.66/1.33 % (31294)Instruction limit reached!
% 1.66/1.33 % (31294)------------------------------
% 1.66/1.33 % (31294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.33 % (31294)Termination reason: Unknown
% 1.66/1.33 % (31294)Termination phase: Saturation
% 1.66/1.33
% 1.66/1.33 % (31294)Memory used [KB]: 5500
% 1.66/1.33 % (31294)Time elapsed: 0.004 s
% 1.66/1.33 % (31294)Instructions burned: 3 (million)
% 1.66/1.33 % (31294)------------------------------
% 1.66/1.33 % (31294)------------------------------
% 1.66/1.33 % (31293)Refutation not found, incomplete strategy
% 1.66/1.33 % (31293)------------------------------
% 1.66/1.33 % (31293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.33 % (31293)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.33
% 1.66/1.33
% 1.66/1.33 % (31293)Memory used [KB]: 5500
% 1.66/1.33 % (31293)Time elapsed: 0.004 s
% 1.66/1.33 % (31293)Instructions burned: 3 (million)
% 1.66/1.33 % (31293)------------------------------
% 1.66/1.33 % (31293)------------------------------
% 1.66/1.33 % (31296)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/7Mi)
% 1.66/1.34 % (31296)Instruction limit reached!
% 1.66/1.34 % (31296)------------------------------
% 1.66/1.34 % (31296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.34 % (31296)Termination reason: Unknown
% 1.66/1.34 % (31296)Termination phase: Saturation
% 1.66/1.34
% 1.66/1.34 % (31296)Memory used [KB]: 1023
% 1.66/1.34 % (31296)Time elapsed: 0.007 s
% 1.66/1.34 % (31296)Instructions burned: 8 (million)
% 1.66/1.34 % (31296)------------------------------
% 1.66/1.34 % (31296)------------------------------
% 1.66/1.34 % (31298)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_31001 for (2999ds/3Mi)
% 1.66/1.34 % (31298)Instruction limit reached!
% 1.66/1.34 % (31298)------------------------------
% 1.66/1.34 % (31298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.34 % (31298)Termination reason: Unknown
% 1.66/1.34 % (31298)Termination phase: Saturation
% 1.66/1.34
% 1.66/1.34 % (31298)Memory used [KB]: 5500
% 1.66/1.34 % (31298)Time elapsed: 0.002 s
% 1.66/1.34 % (31298)Instructions burned: 3 (million)
% 1.66/1.34 % (31298)------------------------------
% 1.66/1.34 % (31298)------------------------------
% 1.66/1.35 % (31300)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/7Mi)
% 1.66/1.35 % (31299)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_31001 for (2999ds/3Mi)
% 1.66/1.35 % (31292)Instruction limit reached!
% 1.66/1.35 % (31292)------------------------------
% 1.66/1.35 % (31292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.35 % (31292)Termination reason: Unknown
% 1.66/1.35 % (31292)Termination phase: Saturation
% 1.66/1.35
% 1.66/1.35 % (31292)Memory used [KB]: 5756
% 1.66/1.35 % (31292)Time elapsed: 0.023 s
% 1.66/1.35 % (31292)Instructions burned: 37 (million)
% 1.66/1.35 % (31292)------------------------------
% 1.66/1.35 % (31292)------------------------------
% 1.66/1.35 % (31300)Instruction limit reached!
% 1.66/1.35 % (31300)------------------------------
% 1.66/1.35 % (31300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.35 % (31300)Termination reason: Unknown
% 1.66/1.35 % (31300)Termination phase: Saturation
% 1.66/1.35
% 1.66/1.35 % (31300)Memory used [KB]: 5500
% 1.66/1.35 % (31300)Time elapsed: 0.005 s
% 1.66/1.35 % (31300)Instructions burned: 7 (million)
% 1.66/1.35 % (31300)------------------------------
% 1.66/1.35 % (31300)------------------------------
% 1.66/1.35 % (31302)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/4Mi)
% 1.66/1.35 % (31299)Instruction limit reached!
% 1.66/1.35 % (31299)------------------------------
% 1.66/1.35 % (31299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.35 % (31299)Termination reason: Unknown
% 1.66/1.35 % (31299)Termination phase: Saturation
% 1.66/1.35
% 1.66/1.35 % (31299)Memory used [KB]: 1023
% 1.66/1.35 % (31299)Time elapsed: 0.004 s
% 1.66/1.35 % (31299)Instructions burned: 3 (million)
% 1.66/1.35 % (31299)------------------------------
% 1.66/1.35 % (31299)------------------------------
% 1.66/1.35 % (31302)Instruction limit reached!
% 1.66/1.35 % (31302)------------------------------
% 1.66/1.35 % (31302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.35 % (31302)Termination reason: Unknown
% 1.66/1.35 % (31302)Termination phase: Saturation
% 1.66/1.35
% 1.66/1.35 % (31302)Memory used [KB]: 5500
% 1.66/1.35 % (31302)Time elapsed: 0.003 s
% 1.66/1.35 % (31302)Instructions burned: 6 (million)
% 1.66/1.35 % (31302)------------------------------
% 1.66/1.35 % (31302)------------------------------
% 1.66/1.35 % (31301)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/3Mi)
% 1.66/1.35 % (31301)Instruction limit reached!
% 1.66/1.35 % (31301)------------------------------
% 1.66/1.35 % (31301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.35 % (31301)Termination reason: Unknown
% 1.66/1.35 % (31301)Termination phase: Saturation
% 1.66/1.35
% 1.66/1.35 % (31301)Memory used [KB]: 5500
% 1.66/1.35 % (31301)Time elapsed: 0.004 s
% 1.66/1.35 % (31301)Instructions burned: 3 (million)
% 1.66/1.35 % (31301)------------------------------
% 1.66/1.35 % (31301)------------------------------
% 1.66/1.36 % (31304)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/710Mi)
% 1.66/1.36 % (31306)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_31001 for (2999ds/902Mi)
% 1.66/1.36 % (31306)Refutation not found, incomplete strategy
% 1.66/1.36 % (31306)------------------------------
% 1.66/1.36 % (31306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.36 % (31306)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.36
% 1.66/1.36
% 1.66/1.36 % (31306)Memory used [KB]: 5500
% 1.66/1.36 % (31306)Time elapsed: 0.001 s
% 1.66/1.36 % (31306)Instructions burned: 1 (million)
% 1.66/1.36 % (31306)------------------------------
% 1.66/1.36 % (31306)------------------------------
% 1.66/1.37 % (31303)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/18Mi)
% 1.66/1.37 % (31305)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/6Mi)
% 1.66/1.37 % (31308)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/5Mi)
% 1.66/1.37 % (31305)Instruction limit reached!
% 1.66/1.37 % (31305)------------------------------
% 1.66/1.37 % (31305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.37 % (31305)Termination reason: Unknown
% 1.66/1.37 % (31305)Termination phase: Saturation
% 1.66/1.37
% 1.66/1.37 % (31305)Memory used [KB]: 5500
% 1.66/1.37 % (31305)Time elapsed: 0.006 s
% 1.66/1.37 % (31305)Instructions burned: 6 (million)
% 1.66/1.37 % (31305)------------------------------
% 1.66/1.37 % (31305)------------------------------
% 1.66/1.37 % (31308)Instruction limit reached!
% 1.66/1.37 % (31308)------------------------------
% 1.66/1.37 % (31308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.37 % (31308)Termination reason: Unknown
% 1.66/1.37 % (31308)Termination phase: Saturation
% 1.66/1.37
% 1.66/1.37 % (31308)Memory used [KB]: 5500
% 1.66/1.37 % (31308)Time elapsed: 0.003 s
% 1.66/1.37 % (31308)Instructions burned: 5 (million)
% 1.66/1.37 % (31308)------------------------------
% 1.66/1.37 % (31308)------------------------------
% 1.66/1.37 % (31307)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_31001 for (2999ds/21Mi)
% 1.66/1.38 % (31303)Instruction limit reached!
% 1.66/1.38 % (31303)------------------------------
% 1.66/1.38 % (31303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.38 % (31303)Termination reason: Unknown
% 1.66/1.38 % (31303)Termination phase: Saturation
% 1.66/1.38
% 1.66/1.38 % (31303)Memory used [KB]: 5628
% 1.66/1.38 % (31303)Time elapsed: 0.014 s
% 1.66/1.38 % (31303)Instructions burned: 19 (million)
% 1.66/1.38 % (31303)------------------------------
% 1.66/1.38 % (31303)------------------------------
% 1.66/1.38 % (31310)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/377Mi)
% 1.66/1.39 % (31307)Instruction limit reached!
% 1.66/1.39 % (31307)------------------------------
% 1.66/1.39 % (31307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.39 % (31307)Termination reason: Unknown
% 1.66/1.39 % (31307)Termination phase: Saturation
% 1.66/1.39
% 1.66/1.39 % (31307)Memory used [KB]: 5628
% 1.66/1.39 % (31307)Time elapsed: 0.016 s
% 1.66/1.39 % (31307)Instructions burned: 21 (million)
% 1.66/1.39 % (31307)------------------------------
% 1.66/1.39 % (31307)------------------------------
% 1.66/1.39 % (31309)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_31001 for (2999ds/6Mi)
% 1.66/1.39 % (31284)Instruction limit reached!
% 1.66/1.39 % (31284)------------------------------
% 1.66/1.39 % (31284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.39 % (31284)Termination reason: Unknown
% 1.66/1.39 % (31284)Termination phase: Saturation
% 1.66/1.39
% 1.66/1.39 % (31284)Memory used [KB]: 6524
% 1.66/1.39 % (31284)Time elapsed: 0.082 s
% 1.66/1.39 % (31284)Instructions burned: 185 (million)
% 1.66/1.39 % (31284)------------------------------
% 1.66/1.39 % (31284)------------------------------
% 1.66/1.39 % (31309)Instruction limit reached!
% 1.66/1.39 % (31309)------------------------------
% 1.66/1.39 % (31309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.39 % (31309)Termination reason: Unknown
% 1.66/1.39 % (31309)Termination phase: Saturation
% 1.66/1.39
% 1.66/1.39 % (31309)Memory used [KB]: 5500
% 1.66/1.39 % (31309)Time elapsed: 0.006 s
% 1.66/1.39 % (31309)Instructions burned: 6 (million)
% 1.66/1.39 % (31309)------------------------------
% 1.66/1.39 % (31309)------------------------------
% 1.66/1.39 % (31311)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_31001 for (2999ds/779Mi)
% 1.66/1.40 % (31313)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/879Mi)
% 1.66/1.40 % (31312)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_31001 for (2999ds/19Mi)
% 1.66/1.41 % (31314)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_31001 for (2999ds/17Mi)
% 1.66/1.41 % (31311)Refutation not found, incomplete strategy
% 1.66/1.41 % (31311)------------------------------
% 1.66/1.41 % (31311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.41 % (31311)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.41
% 1.66/1.41
% 1.66/1.41 % (31311)Memory used [KB]: 5756
% 1.66/1.41 % (31311)Time elapsed: 0.017 s
% 1.66/1.41 % (31311)Instructions burned: 29 (million)
% 1.66/1.41 % (31311)------------------------------
% 1.66/1.41 % (31311)------------------------------
% 1.66/1.41 % (31312)Instruction limit reached!
% 1.66/1.41 % (31312)------------------------------
% 1.66/1.41 % (31312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.41 % (31312)Termination reason: Unknown
% 1.66/1.41 % (31312)Termination phase: Saturation
% 1.66/1.41
% 1.66/1.41 % (31312)Memory used [KB]: 5628
% 1.66/1.41 % (31312)Time elapsed: 0.013 s
% 1.66/1.41 % (31312)Instructions burned: 19 (million)
% 1.66/1.41 % (31312)------------------------------
% 1.66/1.41 % (31312)------------------------------
% 1.66/1.42 % (31314)Instruction limit reached!
% 1.66/1.42 % (31314)------------------------------
% 1.66/1.42 % (31314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.42 % (31314)Termination reason: Unknown
% 1.66/1.42 % (31314)Termination phase: Saturation
% 1.66/1.42
% 1.66/1.42 % (31314)Memory used [KB]: 5628
% 1.66/1.42 % (31314)Time elapsed: 0.012 s
% 1.66/1.42 % (31314)Instructions burned: 18 (million)
% 1.66/1.42 % (31314)------------------------------
% 1.66/1.42 % (31314)------------------------------
% 1.66/1.42 % (31315)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_31001 for (2998ds/3Mi)
% 1.66/1.42 % (31315)Instruction limit reached!
% 1.66/1.42 % (31315)------------------------------
% 1.66/1.42 % (31315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.42 % (31315)Termination reason: Unknown
% 1.66/1.42 % (31315)Termination phase: Saturation
% 1.66/1.42
% 1.66/1.42 % (31315)Memory used [KB]: 1023
% 1.66/1.42 % (31315)Time elapsed: 0.003 s
% 1.66/1.42 % (31315)Instructions burned: 4 (million)
% 1.66/1.42 % (31315)------------------------------
% 1.66/1.42 % (31315)------------------------------
% 1.66/1.43 % (31316)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_31001 for (2998ds/30Mi)
% 1.66/1.43 % (31317)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_31001 for (2998ds/127Mi)
% 1.66/1.43 % (31318)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_31001 for (2998ds/100Mi)
% 1.66/1.43 % (31318)Refutation not found, incomplete strategy
% 1.66/1.43 % (31318)------------------------------
% 1.66/1.43 % (31318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.43 % (31318)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.43
% 1.66/1.43
% 1.66/1.43 % (31318)Memory used [KB]: 5500
% 1.66/1.43 % (31318)Time elapsed: 0.026 s
% 1.66/1.43 % (31318)Instructions burned: 4 (million)
% 1.66/1.43 % (31318)------------------------------
% 1.66/1.43 % (31318)------------------------------
% 1.66/1.44 % (31316)Instruction limit reached!
% 1.66/1.44 % (31316)------------------------------
% 1.66/1.44 % (31316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.44 % (31316)Termination reason: Unknown
% 1.66/1.44 % (31316)Termination phase: Saturation
% 1.66/1.44
% 1.66/1.44 % (31316)Memory used [KB]: 5628
% 1.66/1.44 % (31316)Time elapsed: 0.033 s
% 1.66/1.44 % (31316)Instructions burned: 31 (million)
% 1.66/1.44 % (31316)------------------------------
% 1.66/1.44 % (31316)------------------------------
% 1.66/1.44 % (31319)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_31001 for (2998ds/3Mi)
% 1.66/1.45 % (31319)Instruction limit reached!
% 1.66/1.45 % (31319)------------------------------
% 1.66/1.45 % (31319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.45 % (31319)Termination reason: Unknown
% 1.66/1.45 % (31319)Termination phase: Saturation
% 1.66/1.45
% 1.66/1.45 % (31319)Memory used [KB]: 5500
% 1.66/1.45 % (31319)Time elapsed: 0.003 s
% 1.66/1.45 % (31319)Instructions burned: 4 (million)
% 1.66/1.45 % (31319)------------------------------
% 1.66/1.45 % (31319)------------------------------
% 1.66/1.45 % (31320)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_31001 for (2998ds/20Mi)
% 1.66/1.46 % (31321)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_31001 for (2998ds/86Mi)
% 1.66/1.46 % (31320)Instruction limit reached!
% 1.66/1.46 % (31320)------------------------------
% 1.66/1.46 % (31320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (31320)Termination reason: Unknown
% 1.66/1.46 % (31320)Termination phase: Saturation
% 1.66/1.46
% 1.66/1.46 % (31320)Memory used [KB]: 5628
% 1.66/1.46 % (31320)Time elapsed: 0.009 s
% 1.66/1.46 % (31320)Instructions burned: 21 (million)
% 1.66/1.46 % (31320)------------------------------
% 1.66/1.46 % (31320)------------------------------
% 1.66/1.46 % (31321)Refutation not found, incomplete strategy
% 1.66/1.46 % (31321)------------------------------
% 1.66/1.46 % (31321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (31321)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.46
% 1.66/1.46
% 1.66/1.46 % (31321)Memory used [KB]: 5628
% 1.66/1.46 % (31321)Time elapsed: 0.006 s
% 1.66/1.46 % (31321)Instructions burned: 12 (million)
% 1.66/1.46 % (31321)------------------------------
% 1.66/1.46 % (31321)------------------------------
% 1.66/1.47 % (31322)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_31001 for (2998ds/107Mi)
% 1.66/1.47 % (31322)Refutation not found, incomplete strategy
% 1.66/1.47 % (31322)------------------------------
% 1.66/1.47 % (31322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.47 % (31322)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.47
% 1.66/1.47
% 1.66/1.47 % (31322)Memory used [KB]: 5500
% 1.66/1.47 % (31322)Time elapsed: 0.003 s
% 1.66/1.47 % (31322)Instructions burned: 3 (million)
% 1.66/1.47 % (31322)------------------------------
% 1.66/1.47 % (31322)------------------------------
% 1.66/1.47 % (31323)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_31001 for (2998ds/39Mi)
% 1.66/1.47 % (31317)Instruction limit reached!
% 1.66/1.47 % (31317)------------------------------
% 1.66/1.47 % (31317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.47 % (31317)Termination reason: Unknown
% 1.66/1.47 % (31317)Termination phase: Saturation
% 1.66/1.47
% 1.66/1.47 % (31317)Memory used [KB]: 6012
% 1.66/1.47 % (31317)Time elapsed: 0.066 s
% 1.66/1.47 % (31317)Instructions burned: 127 (million)
% 1.66/1.47 % (31317)------------------------------
% 1.66/1.47 % (31317)------------------------------
% 1.66/1.48 % (31324)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_31001 for (2998ds/448Mi)
% 1.66/1.48 % (31323)Instruction limit reached!
% 1.66/1.48 % (31323)------------------------------
% 1.66/1.48 % (31323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.48 % (31323)Termination reason: Unknown
% 1.66/1.48 % (31323)Termination phase: Saturation
% 1.66/1.48
% 1.66/1.48 % (31323)Memory used [KB]: 5884
% 1.66/1.48 % (31323)Time elapsed: 0.014 s
% 1.66/1.48 % (31323)Instructions burned: 39 (million)
% 1.66/1.48 % (31323)------------------------------
% 1.66/1.48 % (31323)------------------------------
% 1.66/1.48 % (31325)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_31001 for (2998ds/46Mi)
% 1.66/1.49 % (31310)Instruction limit reached!
% 1.66/1.49 % (31310)------------------------------
% 1.66/1.49 % (31310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.49 % (31310)Termination reason: Unknown
% 1.66/1.49 % (31310)Termination phase: Saturation
% 1.66/1.49
% 1.66/1.49 % (31310)Memory used [KB]: 6140
% 1.66/1.49 % (31310)Time elapsed: 0.112 s
% 1.66/1.49 % (31310)Instructions burned: 378 (million)
% 1.66/1.49 % (31310)------------------------------
% 1.66/1.49 % (31310)------------------------------
% 1.66/1.49 % (31326)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_31001 for (2998ds/98Mi)
% 1.66/1.50 % (31326)Refutation not found, incomplete strategy
% 1.66/1.50 % (31326)------------------------------
% 1.66/1.50 % (31326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.50 % (31326)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.50
% 1.66/1.50
% 1.66/1.50 % (31326)Memory used [KB]: 1023
% 1.66/1.50 % (31326)Time elapsed: 0.006 s
% 1.66/1.50 % (31326)Instructions burned: 11 (million)
% 1.66/1.50 % (31326)------------------------------
% 1.66/1.50 % (31326)------------------------------
% 1.66/1.50 % (31325)Instruction limit reached!
% 1.66/1.50 % (31325)------------------------------
% 1.66/1.50 % (31325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.50 % (31325)Termination reason: Unknown
% 1.66/1.50 % (31325)Termination phase: Saturation
% 1.66/1.50
% 1.66/1.50 % (31325)Memory used [KB]: 5628
% 1.66/1.50 % (31325)Time elapsed: 0.018 s
% 1.66/1.50 % (31325)Instructions burned: 46 (million)
% 1.66/1.50 % (31325)------------------------------
% 1.66/1.50 % (31325)------------------------------
% 1.66/1.50 % (31327)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_31001 for (2997ds/507Mi)
% 1.66/1.50 % (31327)Refutation not found, incomplete strategy
% 1.66/1.50 % (31327)------------------------------
% 1.66/1.50 % (31327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.50 % (31327)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.50
% 1.66/1.50
% 1.66/1.50 % (31327)Memory used [KB]: 5500
% 1.66/1.50 % (31327)Time elapsed: 0.002 s
% 1.66/1.50 % (31327)Instructions burned: 4 (million)
% 1.66/1.50 % (31327)------------------------------
% 1.66/1.50 % (31327)------------------------------
% 1.66/1.51 % (31328)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_31001 for (2997ds/149Mi)
% 1.66/1.51 % (31329)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_31001 for (2997ds/39Mi)
% 1.66/1.51 % (31330)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_31001 for (2997ds/6Mi)
% 1.66/1.52 % (31330)Instruction limit reached!
% 1.66/1.52 % (31330)------------------------------
% 1.66/1.52 % (31330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.52 % (31330)Termination reason: Unknown
% 1.66/1.52 % (31330)Termination phase: Saturation
% 1.66/1.52
% 1.66/1.52 % (31330)Memory used [KB]: 10106
% 1.66/1.52 % (31330)Time elapsed: 0.004 s
% 1.66/1.52 % (31330)Instructions burned: 8 (million)
% 1.66/1.52 % (31330)------------------------------
% 1.66/1.52 % (31330)------------------------------
% 1.66/1.52 % (31329)Instruction limit reached!
% 1.66/1.52 % (31329)------------------------------
% 1.66/1.52 % (31329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.52 % (31329)Termination reason: Unknown
% 1.66/1.52 % (31329)Termination phase: Saturation
% 1.66/1.52
% 1.66/1.52 % (31329)Memory used [KB]: 5628
% 1.66/1.52 % (31329)Time elapsed: 0.015 s
% 1.66/1.52 % (31329)Instructions burned: 40 (million)
% 1.66/1.52 % (31329)------------------------------
% 1.66/1.52 % (31329)------------------------------
% 1.66/1.53 % (31331)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_31001 for (2997ds/1087Mi)
% 1.66/1.53 % (31332)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_31001 for (2997ds/47Mi)
% 1.66/1.55 % (31332)Instruction limit reached!
% 1.66/1.55 % (31332)------------------------------
% 1.66/1.55 % (31332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.55 % (31332)Termination reason: Unknown
% 1.66/1.55 % (31332)Termination phase: Saturation
% 1.66/1.55
% 1.66/1.55 % (31332)Memory used [KB]: 5756
% 1.66/1.55 % (31332)Time elapsed: 0.018 s
% 1.66/1.55 % (31332)Instructions burned: 47 (million)
% 1.66/1.55 % (31332)------------------------------
% 1.66/1.55 % (31332)------------------------------
% 1.66/1.56 % (31328)Instruction limit reached!
% 1.66/1.56 % (31328)------------------------------
% 1.66/1.56 % (31328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.56 % (31328)Termination reason: Unknown
% 1.66/1.56 % (31328)Termination phase: Saturation
% 1.66/1.56
% 1.66/1.56 % (31328)Memory used [KB]: 6140
% 1.66/1.56 % (31328)Time elapsed: 0.051 s
% 1.66/1.56 % (31328)Instructions burned: 151 (million)
% 1.66/1.56 % (31328)------------------------------
% 1.66/1.56 % (31328)------------------------------
% 1.66/1.56 % (31333)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_31001 for (2997ds/44Mi)
% 1.66/1.57 % (31334)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_31001 for (2997ds/432Mi)
% 1.66/1.57 % (31333)Refutation not found, incomplete strategy
% 1.66/1.57 % (31333)------------------------------
% 1.66/1.57 % (31333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.57 % (31333)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.57
% 1.66/1.57
% 1.66/1.57 % (31333)Memory used [KB]: 1279
% 1.66/1.57 % (31333)Time elapsed: 0.011 s
% 1.66/1.57 % (31333)Instructions burned: 29 (million)
% 1.66/1.57 % (31333)------------------------------
% 1.66/1.57 % (31333)------------------------------
% 1.66/1.58 % (31335)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_31001 for (2997ds/62Mi)
% 1.66/1.59 % (31304)Instruction limit reached!
% 1.66/1.59 % (31304)------------------------------
% 1.66/1.59 % (31304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.59 % (31304)Termination reason: Unknown
% 1.66/1.59 % (31304)Termination phase: Saturation
% 1.66/1.59
% 1.66/1.59 % (31304)Memory used [KB]: 7164
% 1.66/1.59 % (31304)Time elapsed: 0.229 s
% 1.66/1.59 % (31304)Instructions burned: 713 (million)
% 1.66/1.59 % (31304)------------------------------
% 1.66/1.59 % (31304)------------------------------
% 1.66/1.60 % (31336)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_31001 for (2997ds/31Mi)
% 1.66/1.60 % (31335)Instruction limit reached!
% 1.66/1.60 % (31335)------------------------------
% 1.66/1.60 % (31335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.60 % (31335)Termination reason: Unknown
% 1.66/1.60 % (31335)Termination phase: Saturation
% 1.66/1.60
% 1.66/1.60 % (31335)Memory used [KB]: 5884
% 1.66/1.60 % (31335)Time elapsed: 0.022 s
% 1.66/1.60 % (31335)Instructions burned: 62 (million)
% 1.66/1.60 % (31335)------------------------------
% 1.66/1.60 % (31335)------------------------------
% 1.66/1.61 % (31336)Instruction limit reached!
% 1.66/1.61 % (31336)------------------------------
% 1.66/1.61 % (31336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.61 % (31336)Termination reason: Unknown
% 1.66/1.61 % (31336)Termination phase: Saturation
% 1.66/1.61
% 1.66/1.61 % (31336)Memory used [KB]: 5756
% 1.66/1.61 % (31336)Time elapsed: 0.014 s
% 1.66/1.61 % (31336)Instructions burned: 33 (million)
% 1.66/1.61 % (31336)------------------------------
% 1.66/1.61 % (31336)------------------------------
% 1.66/1.61 % (31337)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_31001 for (2996ds/96Mi)
% 1.66/1.62 % (31338)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_31001 for (2996ds/453Mi)
% 1.66/1.62 % (31338)Refutation not found, incomplete strategy
% 1.66/1.62 % (31338)------------------------------
% 1.66/1.62 % (31338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.62 % (31338)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.62
% 1.66/1.62
% 1.66/1.62 % (31338)Memory used [KB]: 5500
% 1.66/1.62 % (31338)Time elapsed: 0.004 s
% 1.66/1.62 % (31338)Instructions burned: 6 (million)
% 1.66/1.62 % (31338)------------------------------
% 1.66/1.62 % (31338)------------------------------
% 1.66/1.62 % (31324)Instruction limit reached!
% 1.66/1.62 % (31324)------------------------------
% 1.66/1.62 % (31324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.62 % (31324)Termination reason: Unknown
% 1.66/1.62 % (31324)Termination phase: Saturation
% 1.66/1.62
% 1.66/1.62 % (31324)Memory used [KB]: 7036
% 1.66/1.62 % (31324)Time elapsed: 0.148 s
% 1.66/1.62 % (31324)Instructions burned: 449 (million)
% 1.66/1.62 % (31324)------------------------------
% 1.66/1.62 % (31324)------------------------------
% 1.66/1.63 % (31295)Instruction limit reached!
% 1.66/1.63 % (31295)------------------------------
% 1.66/1.63 % (31295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.63 % (31295)Termination reason: Unknown
% 1.66/1.63 % (31295)Termination phase: Saturation
% 1.66/1.63
% 1.66/1.63 % (31295)Memory used [KB]: 6908
% 1.66/1.63 % (31295)Time elapsed: 0.310 s
% 1.66/1.63 % (31295)Instructions burned: 1042 (million)
% 1.66/1.63 % (31295)------------------------------
% 1.66/1.63 % (31295)------------------------------
% 1.66/1.63 % (31339)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_31001 for (2996ds/71Mi)
% 1.66/1.64 % (31340)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_31001 for (2996ds/83Mi)
% 1.66/1.64 % (31341)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_31001 for (2996ds/11Mi)
% 1.66/1.64 % (31337)Instruction limit reached!
% 1.66/1.64 % (31337)------------------------------
% 1.66/1.64 % (31337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.64 % (31337)Termination reason: Unknown
% 1.66/1.64 % (31337)Termination phase: Saturation
% 1.66/1.64
% 1.66/1.64 % (31337)Memory used [KB]: 5884
% 1.66/1.64 % (31337)Time elapsed: 0.035 s
% 1.66/1.64 % (31337)Instructions burned: 97 (million)
% 1.66/1.64 % (31337)------------------------------
% 1.66/1.64 % (31337)------------------------------
% 1.66/1.64 % (31341)Instruction limit reached!
% 1.66/1.64 % (31341)------------------------------
% 1.66/1.64 % (31341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.64 % (31341)Termination reason: Unknown
% 1.66/1.64 % (31341)Termination phase: Saturation
% 1.66/1.64
% 1.66/1.64 % (31341)Memory used [KB]: 5500
% 1.66/1.64 % (31341)Time elapsed: 0.005 s
% 1.66/1.64 % (31341)Instructions burned: 12 (million)
% 1.66/1.64 % (31341)------------------------------
% 1.66/1.64 % (31341)------------------------------
% 1.66/1.65 % (31343)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_31001 for (2996ds/6Mi)
% 1.66/1.65 % (31342)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_31001 for (2996ds/41Mi)
% 1.66/1.66 % (31343)First to succeed.
% 1.66/1.66 % (31342)Refutation not found, incomplete strategy
% 1.66/1.66 % (31342)------------------------------
% 1.66/1.66 % (31342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.66 % (31342)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.66
% 1.66/1.66
% 1.66/1.66 % (31342)Memory used [KB]: 5500
% 1.66/1.66 % (31342)Time elapsed: 0.003 s
% 1.66/1.66 % (31342)Instructions burned: 4 (million)
% 1.66/1.66 % (31342)------------------------------
% 1.66/1.66 % (31342)------------------------------
% 1.66/1.66 % (31343)Refutation found. Thanks to Tanya!
% 1.66/1.66 % SZS status Theorem for DTF2THF_31001
% 1.66/1.66 % SZS output start Proof for DTF2THF_31001
% 1.66/1.66 thf(func_def_0, type, eps: ($i > $o) > $i).
% 1.66/1.66 thf(func_def_2, type, epsio: (($i > $o) > $o) > $i > $o).
% 1.66/1.66 thf(func_def_3, type, setunion: (($i > $o) > $o) > $i > $o).
% 1.66/1.66 thf(func_def_4, type, choosenonempty: (($i > $o) > $o) > $i > $o).
% 1.66/1.66 thf(func_def_5, type, c: ($i > $o) > $o).
% 1.66/1.66 thf(func_def_7, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.66/1.66 thf(func_def_17, type, sK1: $i > $o).
% 1.66/1.66 thf(func_def_19, type, ph2: !>[X0: $tType]:(X0)).
% 1.66/1.66 thf(f86,plain,(
% 1.66/1.66 $false),
% 1.66/1.66 inference(avatar_sat_refutation,[status(thm)],[f45,f59,f74,f76,f77])).
% 1.66/1.66 thf(f77,plain,(
% 1.66/1.66 spl0_4 | spl0_2),
% 1.66/1.66 inference(avatar_split_clause,[status(thm)],[f50,f42,f57])).
% 1.66/1.66 thf(f57,definition,(
% 1.66/1.66 spl0_4 <=> ! [X1 : $i > $o] : (($false = (X1 @ (eps @ X1))) | ((c @ X1) = $false))),
% 1.66/1.66 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 1.66/1.66 thf(f42,definition,(
% 1.66/1.66 spl0_2 <=> ($true = (c @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))))))),
% 1.66/1.66 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.66/1.66 thf(f50,plain,(
% 1.66/1.66 ( ! [X1 : $i > $o] : (((c @ X1) = $false) | ($true = (c @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0))))))) | ($false = (X1 @ (eps @ X1)))) )),
% 1.66/1.66 inference(binary_proxy_clausification,[status(thm)],[f49])).
% 1.66/1.66 thf(f49,plain,(
% 1.66/1.66 ( ! [X1 : $i > $o] : ((((c @ X1) & (X1 @ (eps @ X1))) = $false) | ($true = (c @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))))))) )),
% 1.66/1.66 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 1.66/1.66 thf(f47,plain,(
% 1.66/1.66 ( ! [X1 : $i > $o] : ((((c @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))))) & (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ (eps @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))))))) = $true) | (((c @ X1) & (X1 @ (eps @ X1))) = $false)) )),
% 1.66/1.66 inference(beta_eta_normalization,[status(thm)],[f46])).
% 1.66/1.66 thf(f46,plain,(
% 1.66/1.66 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ X1)) | (((^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))))) = $true)) )),
% 1.66/1.66 introduced(definition,[],[choice_axiom])).
% 1.66/1.66 thf(f76,plain,(
% 1.66/1.66 ~spl0_1 | ~spl0_3),
% 1.66/1.66 inference(avatar_contradiction_clause,[status(thm)],[f75])).
% 1.66/1.66 thf(f75,plain,(
% 1.66/1.66 $false | (~spl0_1 | ~spl0_3)),
% 1.66/1.66 inference(subsumption_resolution,[status(thm)],[f55,f40])).
% 1.66/1.66 thf(f40,plain,(
% 1.66/1.66 ( ! [X0 : $i] : (($true != (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ X0))) ) | ~spl0_1),
% 1.66/1.66 inference(avatar_component_clause,[status(thm)],[f39])).
% 1.66/1.66 thf(f39,definition,(
% 1.66/1.66 spl0_1 <=> ! [X0 : $i] : ($true != (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ X0))),
% 1.66/1.66 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.66/1.66 thf(f55,plain,(
% 1.66/1.66 ($true = (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ (eps @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))))))) | ~spl0_3),
% 1.66/1.66 inference(avatar_component_clause,[status(thm)],[f53])).
% 1.66/1.66 thf(f53,definition,(
% 1.66/1.66 spl0_3 <=> ($true = (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ (eps @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0))))))))),
% 1.66/1.66 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 1.66/1.66 thf(f74,plain,(
% 1.66/1.66 ~spl0_4),
% 1.66/1.66 inference(avatar_contradiction_clause,[status(thm)],[f73])).
% 1.66/1.66 thf(f73,plain,(
% 1.66/1.66 $false | ~spl0_4),
% 1.66/1.66 inference(trivial_inequality_removal,[status(thm)],[f72])).
% 1.66/1.66 thf(f72,plain,(
% 1.66/1.66 ($false = $true) | ~spl0_4),
% 1.66/1.66 inference(backward_demodulation,[status(thm)],[f37,f71])).
% 1.66/1.66 thf(f71,plain,(
% 1.66/1.66 ( ! [X1 : $i] : (((sK1 @ X1) = $false)) ) | ~spl0_4),
% 1.66/1.66 inference(trivial_inequality_removal,[status(thm)],[f70])).
% 1.66/1.66 thf(f70,plain,(
% 1.66/1.66 ( ! [X1 : $i] : (((sK1 @ X1) = $false) | ($false = $true)) ) | ~spl0_4),
% 1.66/1.66 inference(forward_demodulation,[status(thm)],[f69,f68])).
% 1.66/1.66 thf(f68,plain,(
% 1.66/1.66 ((sK1 @ (eps @ sK1)) = $false) | ~spl0_4),
% 1.66/1.66 inference(trivial_inequality_removal,[status(thm)],[f64])).
% 1.66/1.66 thf(f64,plain,(
% 1.66/1.66 ((sK1 @ (eps @ sK1)) = $false) | ($false = $true) | ~spl0_4),
% 1.66/1.66 inference(superposition,[status(thm)],[f58,f36])).
% 1.66/1.66 thf(f36,plain,(
% 1.66/1.66 ((c @ sK1) = $true)),
% 1.66/1.66 inference(binary_proxy_clausification,[status(thm)],[f35])).
% 1.66/1.66 thf(f35,plain,(
% 1.66/1.66 ($true = ((sK1 @ a) & (c @ sK1)))),
% 1.66/1.66 inference(beta_eta_normalization,[status(thm)],[f34])).
% 1.66/1.66 thf(f34,plain,(
% 1.66/1.66 (((^[Y0 : $i > $o]: ((Y0 @ a) & (c @ Y0))) @ sK1) = $true)),
% 1.66/1.66 inference(sigma_clausification,[status(thm)],[f33])).
% 1.66/1.66 thf(f33,plain,(
% 1.66/1.66 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ a) & (c @ Y0)))) = $true)),
% 1.66/1.66 inference(beta_eta_normalization,[status(thm)],[f31])).
% 1.66/1.66 thf(f31,plain,(
% 1.66/1.66 (((^[Y0 : ($i > $o) > $o]: ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (Y0 @ Y2))))))) @ c @ a) = $true)),
% 1.66/1.66 inference(definition_unfolding,[status(thm)],[f27,f24])).
% 1.66/1.66 thf(f24,plain,(
% 1.66/1.66 (setunion = (^[Y0 : ($i > $o) > $o]: ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (Y0 @ Y2))))))))),
% 1.66/1.66 inference(cnf_transformation,[status(thm)],[f16])).
% 1.66/1.66 thf(f16,plain,(
% 1.66/1.66 (setunion = (^[Y0 : ($i > $o) > $o]: ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (Y0 @ Y2))))))))),
% 1.66/1.66 inference(fool_elimination,[status(thm)],[f15])).
% 1.66/1.66 thf(f15,plain,(
% 1.66/1.66 (setunion = (^[X0 : ($i > $o) > $o, X1 : $i] : (? [X2 : $i > $o] : ((X0 @ X2) & (X2 @ X1)))))),
% 1.66/1.66 inference(rectify,[status(thm)],[f3])).
% 1.66/1.66 thf(f3,axiom,(
% 1.66/1.66 (setunion = (^[X2 : ($i > $o) > $o, X1 : $i] : (? [X3 : $i > $o] : ((X2 @ X3) & (X3 @ X1)))))),
% 1.66/1.66 file('/export/starexec/sandbox/tmp/tmp.QePvCrowSP/DTF2THF_31001.p',setuniond)).
% 1.66/1.66 thf(f27,plain,(
% 1.66/1.66 ((setunion @ c @ a) = $true)),
% 1.66/1.66 inference(cnf_transformation,[status(thm)],[f10])).
% 1.66/1.66 thf(f10,plain,(
% 1.66/1.66 ((setunion @ c @ a) = $true)),
% 1.66/1.66 inference(fool_elimination,[status(thm)],[f9])).
% 1.66/1.66 thf(f9,plain,(
% 1.66/1.66 (setunion @ c @ a)),
% 1.66/1.66 inference(rectify,[status(thm)],[f5])).
% 1.66/1.66 thf(f5,axiom,(
% 1.66/1.66 (setunion @ c @ a)),
% 1.66/1.66 file('/export/starexec/sandbox/tmp/tmp.QePvCrowSP/DTF2THF_31001.p',ca)).
% 1.66/1.66 thf(f58,plain,(
% 1.66/1.66 ( ! [X1 : $i > $o] : (((c @ X1) = $false) | ($false = (X1 @ (eps @ X1)))) ) | ~spl0_4),
% 1.66/1.66 inference(avatar_component_clause,[status(thm)],[f57])).
% 1.66/1.66 thf(f69,plain,(
% 1.66/1.66 ( ! [X1 : $i] : (((sK1 @ (eps @ sK1)) = $true) | ((sK1 @ X1) = $false)) )),
% 1.66/1.66 introduced(definition,[],[choice_axiom])).
% 1.66/1.66 thf(f37,plain,(
% 1.66/1.66 ((sK1 @ a) = $true)),
% 1.66/1.66 inference(binary_proxy_clausification,[status(thm)],[f35])).
% 1.66/1.66 thf(f59,plain,(
% 1.66/1.66 spl0_3 | spl0_4),
% 1.66/1.66 inference(avatar_split_clause,[status(thm)],[f51,f57,f53])).
% 1.66/1.66 thf(f51,plain,(
% 1.66/1.66 ( ! [X1 : $i > $o] : (($false = (X1 @ (eps @ X1))) | ($true = (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ (eps @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))))))) | ((c @ X1) = $false)) )),
% 1.66/1.66 inference(binary_proxy_clausification,[status(thm)],[f48])).
% 1.66/1.66 thf(f48,plain,(
% 1.66/1.66 ( ! [X1 : $i > $o] : ((((c @ X1) & (X1 @ (eps @ X1))) = $false) | ($true = (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ (eps @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0))))))))) )),
% 1.66/1.66 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 1.66/1.66 thf(f45,plain,(
% 1.66/1.66 spl0_1 | ~spl0_2),
% 1.66/1.66 inference(avatar_split_clause,[status(thm)],[f32,f42,f39])).
% 1.66/1.66 thf(f32,plain,(
% 1.66/1.66 ( ! [X0 : $i] : (($true != (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))) @ X0)) | ($true != (c @ (epsio @ (^[Y0 : $i > $o]: ((c @ Y0) & (Y0 @ (eps @ Y0)))))))) )),
% 1.66/1.66 inference(beta_eta_normalization,[status(thm)],[f30])).
% 1.66/1.66 thf(f30,plain,(
% 1.66/1.66 ( ! [X0 : $i] : (($true != ((^[Y0 : ($i > $o) > $o]: (epsio @ (^[Y1 : $i > $o]: ((Y0 @ Y1) & (Y1 @ (eps @ Y1)))))) @ c @ X0)) | ((c @ ((^[Y0 : ($i > $o) > $o]: (epsio @ (^[Y1 : $i > $o]: ((Y0 @ Y1) & (Y1 @ (eps @ Y1)))))) @ c)) != $true)) )),
% 1.66/1.66 inference(definition_unfolding,[status(thm)],[f25,f28,f28])).
% 1.66/1.66 thf(f28,plain,(
% 1.66/1.66 (choosenonempty = (^[Y0 : ($i > $o) > $o]: (epsio @ (^[Y1 : $i > $o]: ((Y0 @ Y1) & (Y1 @ (eps @ Y1)))))))),
% 1.66/1.66 inference(cnf_transformation,[status(thm)],[f12])).
% 1.66/1.66 thf(f12,plain,(
% 1.66/1.66 (choosenonempty = (^[Y0 : ($i > $o) > $o]: (epsio @ (^[Y1 : $i > $o]: ((Y0 @ Y1) & (Y1 @ (eps @ Y1)))))))),
% 1.66/1.66 inference(fool_elimination,[status(thm)],[f11])).
% 1.66/1.66 thf(f11,plain,(
% 1.66/1.66 (choosenonempty = (^[X0 : ($i > $o) > $o] : (epsio @ (^[X1 : $i > $o] : ((X1 @ (eps @ X1)) & (X0 @ X1))))))),
% 1.66/1.66 inference(rectify,[status(thm)],[f4])).
% 1.66/1.66 thf(f4,axiom,(
% 1.66/1.66 (choosenonempty = (^[X2 : ($i > $o) > $o] : (epsio @ (^[X3 : $i > $o] : ((X3 @ (eps @ X3)) & (X2 @ X3))))))),
% 1.66/1.66 file('/export/starexec/sandbox/tmp/tmp.QePvCrowSP/DTF2THF_31001.p',choosenonemptyd)).
% 1.66/1.66 thf(f25,plain,(
% 1.66/1.66 ( ! [X0 : $i] : (((choosenonempty @ c @ X0) != $true) | ((c @ (choosenonempty @ c)) != $true)) )),
% 1.66/1.66 inference(cnf_transformation,[status(thm)],[f21])).
% 1.66/1.66 thf(f21,plain,(
% 1.66/1.66 ! [X0 : $i] : ((choosenonempty @ c @ X0) != $true) | ((c @ (choosenonempty @ c)) != $true)),
% 1.66/1.66 inference(ennf_transformation,[status(thm)],[f14])).
% 1.66/1.66 thf(f14,plain,(
% 1.66/1.66 ~(? [X0 : $i] : ((choosenonempty @ c @ X0) = $true) & ((c @ (choosenonempty @ c)) = $true))),
% 1.66/1.66 inference(fool_elimination,[status(thm)],[f13])).
% 1.66/1.66 thf(f13,plain,(
% 1.66/1.66 ~(? [X0 : $i] : (choosenonempty @ c @ X0) & (c @ (choosenonempty @ c)))),
% 1.66/1.66 inference(rectify,[status(thm)],[f7])).
% 1.66/1.66 thf(f7,negated_conjecture,(
% 1.66/1.66 ~(? [X1 : $i] : (choosenonempty @ c @ X1) & (c @ (choosenonempty @ c)))),
% 1.66/1.66 inference(negated_conjecture,[status(cth)],[f6])).
% 1.66/1.66 thf(f6,conjecture,(
% 1.66/1.66 ? [X1 : $i] : (choosenonempty @ c @ X1) & (c @ (choosenonempty @ c))),
% 1.66/1.66 file('/export/starexec/sandbox/tmp/tmp.QePvCrowSP/DTF2THF_31001.p',conj)).
% 1.66/1.66 % SZS output end Proof for DTF2THF_31001
% 1.66/1.66 % (31343)------------------------------
% 1.66/1.66 % (31343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.66 % (31343)Termination reason: Refutation
% 1.66/1.66
% 1.66/1.66 % (31343)Memory used [KB]: 5500
% 1.66/1.66 % (31343)Time elapsed: 0.004 s
% 1.66/1.66 % (31343)Instructions burned: 5 (million)
% 1.66/1.66 % (31343)------------------------------
% 1.66/1.66 % (31343)------------------------------
% 1.66/1.66 % (31283)Success in time 0.357 s
%------------------------------------------------------------------------------