%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT399^1 : TPTP v9.2.1. Released v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:45:39 AM UTC 2026
% Result : Theorem 8.36s 2.36s
% Output : Refutation 8.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 337 ( 129 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 756 ( 57 ~; 44 |; 41 &; 586 @)
% ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 128 ( 0 ^; 102 !; 26 ?; 128 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
elem: $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(type_def_8,type,
list: $tType ).
thf(func_def_0,type,
isPer:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > $o ) ).
thf(func_def_2,type,
elem: $tType ).
thf(func_def_3,type,
elemStar: elem > elem > $o ).
thf(func_def_4,type,
nat: $tType ).
thf(func_def_5,type,
natStar: nat > nat > $o ).
thf(func_def_6,type,
zero: nat ).
thf(func_def_7,type,
suc: nat > nat ).
thf(func_def_8,type,
plus: nat > nat > nat ).
thf(func_def_9,type,
list: $tType ).
thf(func_def_10,type,
listStar: nat > list > list > $o ).
thf(func_def_11,type,
nil: list ).
thf(func_def_12,type,
cons: nat > elem > list > list ).
thf(func_def_13,type,
app: nat > nat > list > list > list ).
thf(func_def_14,type,
rev: nat > list > list ).
thf(func_def_17,type,
sK0:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_18,type,
sK1:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_19,type,
sK2:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_20,type,
sK3:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_21,type,
sK4:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_22,type,
sK5: ( nat > $o ) > nat ).
thf(func_def_23,type,
sK6: nat ).
thf(func_def_24,type,
sK7: list ).
thf(func_def_27,type,
ph9:
!>[X0: $tType] : X0 ).
thf(f593,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f592,f98]) ).
thf(f98,plain,
( $true
!= ( listStar @ sK6 @ ( rev @ sK6 @ ( rev @ sK6 @ sK7 ) ) @ sK7 ) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
thf(f70,plain,
( ( $true
!= ( listStar @ sK6 @ ( rev @ sK6 @ ( rev @ sK6 @ sK7 ) ) @ sK7 ) )
& ( $true
= ( listStar @ sK6 @ sK7 @ sK7 ) )
& ( $true
= ( listStar @ sK6 @ ( rev @ sK6 @ ( rev @ sK6 @ sK7 ) ) @ ( app @ zero @ sK6 @ nil @ sK7 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f56,f69]) ).
thf(f69,plain,
( ? [X0: nat,X1: list] :
( ( $true
!= ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ X1 ) )
& ( ( listStar @ X0 @ X1 @ X1 )
= $true )
& ( $true
= ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) ) ) )
=> ( ( $true
!= ( listStar @ sK6 @ ( rev @ sK6 @ ( rev @ sK6 @ sK7 ) ) @ sK7 ) )
& ( $true
= ( listStar @ sK6 @ sK7 @ sK7 ) )
& ( $true
= ( listStar @ sK6 @ ( rev @ sK6 @ ( rev @ sK6 @ sK7 ) ) @ ( app @ zero @ sK6 @ nil @ sK7 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f56,plain,
? [X0: nat,X1: list] :
( ( $true
!= ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ X1 ) )
& ( ( listStar @ X0 @ X1 @ X1 )
= $true )
& ( $true
= ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) ) ) ),
inference(flattening,[status(thm)],[f55]) ).
thf(f55,plain,
? [X0: nat,X1: list] :
( ( $true
!= ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ X1 ) )
& ( $true
= ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) ) )
& ( ( listStar @ X0 @ X1 @ X1 )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f31]) ).
thf(f31,plain,
~ ! [X0: nat,X1: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
= $true )
=> ( ( $true
= ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) ) )
=> ( $true
= ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ X1 ) ) ) ),
inference(fool_elimination,[status(thm)],[f30]) ).
thf(f30,plain,
~ ! [X0: nat,X1: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( app @ zero @ X0 @ nil @ X1 ) )
=> ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ X1 ) ) ),
inference(rectify,[status(thm)],[f18]) ).
thf(f18,negated_conjecture,
~ ! [X6: nat,X13: list] :
( ( listStar @ X6 @ X13 @ X13 )
=> ( ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ ( app @ zero @ X6 @ nil @ X13 ) )
=> ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ X13 ) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
thf(f17,conjecture,
! [X6: nat,X13: list] :
( ( listStar @ X6 @ X13 @ X13 )
=> ( ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ ( app @ zero @ X6 @ nil @ X13 ) )
=> ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ X13 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p',list_rev_invol_step4) ).
thf(f592,plain,
( $true
= ( listStar @ sK6 @ ( rev @ sK6 @ ( rev @ sK6 @ sK7 ) ) @ sK7 ) ),
inference(trivial_inequality_removal,[status(thm)],[f590]) ).
thf(f590,plain,
( ( $true
= ( listStar @ sK6 @ ( rev @ sK6 @ ( rev @ sK6 @ sK7 ) ) @ sK7 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f400,f96]) ).
thf(f96,plain,
( $true
= ( listStar @ sK6 @ ( rev @ sK6 @ ( rev @ sK6 @ sK7 ) ) @ ( app @ zero @ sK6 @ nil @ sK7 ) ) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
thf(f400,plain,
! [X0: list] :
( ( $true
!= ( listStar @ sK6 @ X0 @ ( app @ zero @ sK6 @ nil @ sK7 ) ) )
| ( $true
= ( listStar @ sK6 @ X0 @ sK7 ) ) ),
inference(subsumption_resolution,[status(thm)],[f396,f73]) ).
thf(f73,plain,
! [X0: nat] :
( $true
= ( isPer @ list @ ( listStar @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
thf(f37,plain,
! [X0: nat] :
( $true
= ( isPer @ list @ ( listStar @ X0 ) ) ),
inference(fool_elimination,[status(thm)],[f36]) ).
thf(f36,plain,
! [X0: nat] : ( isPer @ list @ ( listStar @ X0 ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
! [X5: nat] : ( isPer @ list @ ( listStar @ X5 ) ),
file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p','\'listStar\'_is_per') ).
thf(f396,plain,
! [X0: list] :
( ( ( isPer @ list @ ( listStar @ sK6 ) )
!= $true )
| ( $true
!= ( listStar @ sK6 @ X0 @ ( app @ zero @ sK6 @ nil @ sK7 ) ) )
| ( $true
= ( listStar @ sK6 @ X0 @ sK7 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f394]) ).
thf(f394,plain,
! [X0: list] :
( ( ( isPer @ list @ ( listStar @ sK6 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( listStar @ sK6 @ X0 @ sK7 ) )
| ( $true
!= ( listStar @ sK6 @ X0 @ ( app @ zero @ sK6 @ nil @ sK7 ) ) ) ),
inference(superposition,[status(thm)],[f86,f349]) ).
thf(f349,plain,
( $true
= ( listStar @ sK6 @ ( app @ zero @ sK6 @ nil @ sK7 ) @ sK7 ) ),
inference(trivial_inequality_removal,[status(thm)],[f346]) ).
thf(f346,plain,
( ( $true != $true )
| ( $true
= ( listStar @ sK6 @ ( app @ zero @ sK6 @ nil @ sK7 ) @ sK7 ) ) ),
inference(superposition,[status(thm)],[f102,f97]) ).
thf(f97,plain,
( $true
= ( listStar @ sK6 @ sK7 @ sK7 ) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
thf(f102,plain,
! [X0: nat,X1: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ X0 @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 )
= $true ) ),
inference(forward_demodulation,[status(thm)],[f89,f77]) ).
thf(f77,plain,
! [X0: nat] :
( ( plus @ zero @ X0 )
= X0 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
thf(f45,plain,
! [X0: nat] :
( ( plus @ zero @ X0 )
= X0 ),
inference(rectify,[status(thm)],[f12]) ).
thf(f12,axiom,
! [X6: nat] :
( ( plus @ zero @ X6 )
= X6 ),
file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p',ax1) ).
thf(f89,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
thf(f50,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
! [X0: nat,X1: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
= $true )
=> ( $true
= ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) ) ),
inference(fool_elimination,[status(thm)],[f20]) ).
thf(f20,plain,
! [X0: nat,X1: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) ),
inference(rectify,[status(thm)],[f14]) ).
thf(f14,axiom,
! [X6: nat,X2: list] :
( ( listStar @ X6 @ X2 @ X2 )
=> ( listStar @ ( plus @ zero @ X6 ) @ ( app @ zero @ X6 @ nil @ X2 ) @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p',ax3) ).
thf(f86,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > X0 > $o,X4: X0] :
( ( ( X1 @ X3 @ X4 )
!= $true )
| ( ( isPer @ X0 @ X1 )
!= $true )
| ( ( X1 @ X2 @ X4 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
thf(f65,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ! [X2: X0,X3: X0,X4: X0] :
( ( ( X1 @ X3 @ X4 )
!= $true )
| ( ( X1 @ X2 @ X4 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) )
& ! [X5: X0,X6: X0] :
( ( $true
= ( X1 @ X6 @ X5 ) )
| ( ( X1 @ X5 @ X6 )
!= $true ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) )
& ( ( ( isPer @ X0 @ X1 )
= $true )
| ( ( $true
= ( X1 @ ( sK1 @ X0 @ X1 ) @ ( sK2 @ X0 @ X1 ) ) )
& ( $true
!= ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK2 @ X0 @ X1 ) ) )
& ( $true
= ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) ) ) )
| ( ( $true
!= ( X1 @ ( sK4 @ X0 @ X1 ) @ ( sK3 @ X0 @ X1 ) ) )
& ( ( X1 @ ( sK3 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) )
= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f62,f64,f63]) ).
thf(f63,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ? [X7: X0,X8: X0,X9: X0] :
( ( $true
= ( X1 @ X8 @ X9 ) )
& ( $true
!= ( X1 @ X7 @ X9 ) )
& ( ( X1 @ X7 @ X8 )
= $true ) )
=> ( ( $true
= ( X1 @ ( sK1 @ X0 @ X1 ) @ ( sK2 @ X0 @ X1 ) ) )
& ( $true
!= ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK2 @ X0 @ X1 ) ) )
& ( $true
= ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f64,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ? [X10: X0,X11: X0] :
( ( ( X1 @ X11 @ X10 )
!= $true )
& ( $true
= ( X1 @ X10 @ X11 ) ) )
=> ( ( $true
!= ( X1 @ ( sK4 @ X0 @ X1 ) @ ( sK3 @ X0 @ X1 ) ) )
& ( ( X1 @ ( sK3 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f62,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ! [X2: X0,X3: X0,X4: X0] :
( ( ( X1 @ X3 @ X4 )
!= $true )
| ( ( X1 @ X2 @ X4 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) )
& ! [X5: X0,X6: X0] :
( ( $true
= ( X1 @ X6 @ X5 ) )
| ( ( X1 @ X5 @ X6 )
!= $true ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) )
& ( ( ( isPer @ X0 @ X1 )
= $true )
| ? [X7: X0,X8: X0,X9: X0] :
( ( $true
= ( X1 @ X8 @ X9 ) )
& ( $true
!= ( X1 @ X7 @ X9 ) )
& ( ( X1 @ X7 @ X8 )
= $true ) )
| ? [X10: X0,X11: X0] :
( ( ( X1 @ X11 @ X10 )
!= $true )
& ( $true
= ( X1 @ X10 @ X11 ) ) ) ) ),
inference(rectify,[status(thm)],[f61]) ).
thf(f61,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ! [X4: X0,X5: X0,X6: X0] :
( ( ( X1 @ X5 @ X6 )
!= $true )
| ( ( X1 @ X4 @ X6 )
= $true )
| ( $true
!= ( X1 @ X4 @ X5 ) ) )
& ! [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) )
& ( ( ( isPer @ X0 @ X1 )
= $true )
| ? [X4: X0,X5: X0,X6: X0] :
( ( ( X1 @ X5 @ X6 )
= $true )
& ( ( X1 @ X4 @ X6 )
!= $true )
& ( $true
= ( X1 @ X4 @ X5 ) ) )
| ? [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
!= $true )
& ( ( X1 @ X2 @ X3 )
= $true ) ) ) ),
inference(flattening,[status(thm)],[f60]) ).
thf(f60,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ! [X4: X0,X5: X0,X6: X0] :
( ( ( X1 @ X5 @ X6 )
!= $true )
| ( ( X1 @ X4 @ X6 )
= $true )
| ( $true
!= ( X1 @ X4 @ X5 ) ) )
& ! [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) )
& ( ( ( isPer @ X0 @ X1 )
= $true )
| ? [X4: X0,X5: X0,X6: X0] :
( ( ( X1 @ X5 @ X6 )
= $true )
& ( ( X1 @ X4 @ X6 )
!= $true )
& ( $true
= ( X1 @ X4 @ X5 ) ) )
| ? [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
!= $true )
& ( ( X1 @ X2 @ X3 )
= $true ) ) ) ),
inference(nnf_transformation,[status(thm)],[f58]) ).
thf(f58,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ! [X4: X0,X5: X0,X6: X0] :
( ( ( X1 @ X5 @ X6 )
!= $true )
| ( ( X1 @ X4 @ X6 )
= $true )
| ( $true
!= ( X1 @ X4 @ X5 ) ) )
& ! [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) ) )
<=> ( ( isPer @ X0 @ X1 )
= $true ) ),
inference(flattening,[status(thm)],[f57]) ).
thf(f57,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( isPer @ X0 @ X1 )
= $true )
<=> ( ! [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) )
& ! [X4: X0,X5: X0,X6: X0] :
( ( ( X1 @ X4 @ X6 )
= $true )
| ( ( X1 @ X5 @ X6 )
!= $true )
| ( $true
!= ( X1 @ X4 @ X5 ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f27]) ).
thf(f27,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( isPer @ X0 @ X1 )
= $true )
<=> ( ! [X2: X0,X3: X0] :
( ( ( X1 @ X2 @ X3 )
= $true )
=> ( ( X1 @ X3 @ X2 )
= $true ) )
& ! [X4: X0,X5: X0,X6: X0] :
( ( $true
= ( X1 @ X4 @ X5 ) )
=> ( ( ( X1 @ X5 @ X6 )
= $true )
=> ( ( X1 @ X4 @ X6 )
= $true ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f26]) ).
thf(f26,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( isPer @ X0 @ X1 )
<=> ( ! [X2: X0,X3: X0] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X4: X0,X5: X0,X6: X0] :
( ( X1 @ X4 @ X5 )
=> ( ( X1 @ X5 @ X6 )
=> ( X1 @ X4 @ X6 ) ) ) ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( isPer @ X0 @ X1 )
<=> ( ! [X2: X0,X3: X0] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X2: X0,X3: X0,X4: X0] :
( ( X1 @ X2 @ X3 )
=> ( ( X1 @ X3 @ X4 )
=> ( X1 @ X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p',is_per) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : DAT399^1 : TPTP v9.2.1. Released v9.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Feb 24 06:17:10 EST 2026
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.43 ---- Original DTF file ---
% 0.17/0.43 thf(spec,logic,$$dhol).
% 0.17/0.43 %------------------------------------------------------------------------------
% 0.17/0.43 % File : DAT399^1 : TPTP v9.2.1. Released v9.2.0.
% 0.17/0.43 % Domain : Data Structures
% 0.17/0.43 % Problem : List reversal involution, step 4
% 0.17/0.43 % Version : Especial.
% 0.17/0.43 % English : List reversal involution. The proof is split into smaller steps.
% 0.17/0.43 % To simplify proof search, the axioms in each problem file have
% 0.17/0.43 % been preselected.
% 0.17/0.43
% 0.17/0.43 % Refs : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.17/0.43 % : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.17/0.43 % : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.17/0.43 % Source : [Rot25]
% 0.17/0.43 % Names : ListReversalInvolution/list-rev-invol-step4.p [Rot25]
% 0.17/0.43
% 0.17/0.43 % Status : Theorem
% 0.17/0.43 % Rating : ? v9.2.0
% 0.17/0.43 % Syntax : Number of formulae : 19 ( 6 unt; 10 typ; 0 def)
% 0.17/0.43 % Number of atoms : 10 ( 10 equ; 0 cnn)
% 0.17/0.43 % Maximal formula atoms : 2 ( 1 avg)
% 0.17/0.43 % Number of connectives : 61 ( 3 ~; 0 |; 0 &; 53 @)
% 0.17/0.43 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 0.17/0.43 % Maximal formula depth : 8 ( 4 avg)
% 0.17/0.43 % Number of types : 3 ( 2 usr)
% 0.17/0.43 % Number of type decls : 10 ( 0 !>P; 3 !>D)
% 0.17/0.43 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.17/0.43 % Number of symbols : 9 ( 8 usr; 2 con; 0-4 aty)
% 0.17/0.43 % Number of variables : 20 ( 0 ^; 16 !; 0 ?; 20 :)
% 0.17/0.43 % ( 4 !>; 0 ?*; 0 @-; 0 @+)
% 0.17/0.43 % SPC : DH0_THM_EQU_NAR
% 0.17/0.43
% 0.17/0.43 % Comments :
% 0.17/0.43 %------------------------------------------------------------------------------
% 0.17/0.43 thf(elem_type,type,
% 0.17/0.43 elem: $tType ).
% 0.17/0.43
% 0.17/0.43 thf(nat_type,type,
% 0.17/0.43 nat: $tType ).
% 0.17/0.43
% 0.17/0.43 thf(zero_type,type,
% 0.17/0.43 zero: nat ).
% 0.17/0.43
% 0.17/0.43 thf(suc_type,type,
% 0.17/0.43 suc: nat > nat ).
% 0.17/0.43
% 0.17/0.43 thf(plus_type,type,
% 0.17/0.43 plus: nat > nat > nat ).
% 0.17/0.43
% 0.17/0.43 thf(list_type,type,
% 0.17/0.43 list: nat > $tType ).
% 0.17/0.43
% 0.17/0.43 thf(nil_type,type,
% 0.17/0.43 nil: list @ zero ).
% 0.17/0.43
% 0.17/0.43 thf(cons_type,type,
% 0.17/0.43 cons:
% 0.17/0.43 !>[N: nat] : ( elem > ( list @ N ) > ( list @ ( suc @ N ) ) ) ).
% 0.17/0.43
% 0.17/0.43 thf(app_type,type,
% 0.17/0.43 app:
% 0.17/0.43 !>[N: nat,M: nat] : ( ( list @ N ) > ( list @ M ) > ( list @ ( plus @ N @ M ) ) ) ).
% 0.17/0.43
% 0.17/0.43 thf(rev_type,type,
% 0.17/0.43 rev:
% 0.17/0.43 !>[N: nat] : ( ( list @ N ) > ( list @ N ) ) ).
% 0.17/0.43
% 0.17/0.43 thf(peano1,axiom,
% 0.17/0.43 ! [N: nat] :
% 0.17/0.43 ( ( suc @ N )
% 0.17/0.43 != zero ) ).
% 0.17/0.43
% 0.17/0.43 thf(peano2,axiom,
% 0.17/0.43 ! [N: nat,M: nat] :
% 0.17/0.43 ( ( N != M )
% 0.17/0.43 => ( ( suc @ N )
% 0.17/0.43 != ( suc @ M ) ) ) ).
% 0.17/0.43
% 0.17/0.43 thf(peano3,axiom,
% 0.17/0.43 ! [P: nat > $o] :
% 0.17/0.43 ( ( P @ zero )
% 0.17/0.43 => ( ! [M: nat] :
% 0.17/0.43 ( ( P @ M )
% 0.17/0.43 => ( P @ ( suc @ M ) ) )
% 0.17/0.43 => ! [N: nat] : ( P @ N ) ) ) ).
% 0.17/0.43
% 0.17/0.43 thf(ax1,axiom,
% 0.17/0.43 ! [N: nat] :
% 0.17/0.43 ( ( plus @ zero @ N )
% 0.17/0.43 = N ) ).
% 0.17/0.43
% 0.17/0.43 thf(ax2,axiom,
% 0.17/0.43 ! [N: nat,M: nat] :
% 0.17/0.43 ( ( plus @ ( suc @ N ) @ M )
% 0.17/0.43 = ( suc @ ( plus @ N @ M ) ) ) ).
% 0.17/0.43
% 0.17/0.43 thf(ax3,axiom,
% 0.17/0.43 ! [N: nat,X: list @ N] :
% 0.17/0.43 ( ( app @ zero @ N @ nil @ X )
% 0.17/0.43 = X ) ).
% 0.17/0.43
% 0.17/0.43 thf(plus_com,axiom,
% 0.17/0.43 ! [N: nat,M: nat] :
% 0.17/0.43 ( ( plus @ N @ M )
% 0.17/0.43 = ( plus @ M @ N ) ) ).
% 0.17/0.43
% 0.17/0.43 thf(plus1r,axiom,
% 0.17/0.43 ! [N: nat] :
% 0.17/0.43 ( ( suc @ N )
% 0.17/0.43 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 0.17/0.43
% 0.17/0.43 thf(list_rev_invol_step4,conjecture,
% 0.17/0.43 ! [N: nat,L: list @ N] :
% 0.17/0.43 ( ( ( rev @ N @ ( rev @ N @ L ) )
% 0.17/0.43 = ( app @ zero @ N @ nil @ L ) )
% 0.17/0.43 => ( ( rev @ N @ ( rev @ N @ L ) )
% 0.17/0.43 = L ) ) ).
% 0.17/0.43
% 0.17/0.43 %------------------------------------------------------------------------------
% 0.17/0.43 ------------------------
% 1.34/1.15 ---- Embedded in THF ---
% 1.34/1.15 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.34/1.15 %%% Generated on Tue Feb 24 06:17:11 EST 2026
% 1.34/1.15 %%% using '$$dhol' embedding, version 1.3.0.
% 1.34/1.15 %%% Logic specification used:
% 1.34/1.15 %%% thf(spec, logic, $$dhol).
% 1.34/1.15
% 1.34/1.15 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2DTF26892.p
% See solution above
% 1.34/1.15 ------------------------
% 1.34/1.16 ---- Cleaned THF ---
% 1.34/1.16 thf(is_per_type,type,
% 1.34/1.16 isPer:
% 1.34/1.16 !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.34/1.16
% 1.34/1.16 thf(is_per,definition,
% 1.34/1.16 ! [A: $tType,AStar: A > A > $o] :
% 1.34/1.16 ( ( isPer @ A @ AStar )
% 1.34/1.16 <=> ( ! [X: A,Y: A] :
% 1.34/1.16 ( ( AStar @ X @ Y )
% 1.34/1.16 => ( AStar @ Y @ X ) )
% 1.34/1.16 & ! [X: A,Y: A,Z: A] :
% 1.34/1.16 ( ( AStar @ X @ Y )
% 1.34/1.16 => ( ( AStar @ Y @ Z )
% 1.34/1.16 => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(elem_type,type,
% 1.34/1.16 elem: $tType ).
% 1.34/1.16
% 1.34/1.16 thf(elemStar,type,
% 1.34/1.16 elemStar: elem > elem > $o ).
% 1.34/1.16
% 1.34/1.16 thf(elemStar_is_eq,axiom,
% 1.34/1.16 ! [X: elem,Y: elem] :
% 1.34/1.16 ( ( elemStar @ X @ Y )
% 1.34/1.16 <=> ( X = Y ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(nat_type,type,
% 1.34/1.16 nat: $tType ).
% 1.34/1.16
% 1.34/1.16 thf(natStar,type,
% 1.34/1.16 natStar: nat > nat > $o ).
% 1.34/1.16
% 1.34/1.16 thf(natStar_is_eq,axiom,
% 1.34/1.16 ! [X: nat,Y: nat] :
% 1.34/1.16 ( ( natStar @ X @ Y )
% 1.34/1.16 <=> ( X = Y ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(zero_type,type,
% 1.34/1.16 zero: nat ).
% 1.34/1.16
% 1.34/1.16 thf(suc_type,type,
% 1.34/1.16 suc: nat > nat ).
% 1.34/1.16
% 1.34/1.16 thf(plus_type,type,
% 1.34/1.16 plus: nat > nat > nat ).
% 1.34/1.16
% 1.34/1.16 thf(list_type,type,
% 1.34/1.16 list: $tType ).
% 1.34/1.16
% 1.34/1.16 thf(listStar,type,
% 1.34/1.16 listStar: nat > list > list > $o ).
% 1.34/1.16
% 1.34/1.16 thf('\'listStar\'_is_per',axiom,
% 1.34/1.16 ! [C: nat] : ( isPer @ list @ ( listStar @ C ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(nil_type,type,
% 1.34/1.16 nil: list ).
% 1.34/1.16
% 1.34/1.16 thf(nil_tp_ax,axiom,
% 1.34/1.16 listStar @ zero @ nil @ nil ).
% 1.34/1.16
% 1.34/1.16 thf(cons_type,type,
% 1.34/1.16 cons: nat > elem > list > list ).
% 1.34/1.16
% 1.34/1.16 thf(cons_tp_ax,axiom,
% 1.34/1.16 ! [N: nat,D: elem,D0: list,D0_prime: list] :
% 1.34/1.16 ( ( listStar @ N @ D0 @ D0_prime )
% 1.34/1.16 => ( listStar @ ( suc @ N ) @ ( cons @ N @ D @ D0 ) @ ( cons @ N @ D @ D0_prime ) ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(app_type,type,
% 1.34/1.16 app: nat > nat > list > list > list ).
% 1.34/1.16
% 1.34/1.16 thf(app_tp_ax,axiom,
% 1.34/1.16 ! [N: nat,M: nat,D: list,D_prime: list] :
% 1.34/1.16 ( ( listStar @ N @ D @ D_prime )
% 1.34/1.16 => ! [D0: list,D0_prime: list] :
% 1.34/1.16 ( ( listStar @ M @ D0 @ D0_prime )
% 1.34/1.16 => ( listStar @ ( plus @ N @ M ) @ ( app @ N @ M @ D @ D0 ) @ ( app @ N @ M @ D_prime @ D0_prime ) ) ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(rev_type,type,
% 1.34/1.16 rev: nat > list > list ).
% 1.34/1.16
% 1.34/1.16 thf(rev_tp_ax,axiom,
% 1.34/1.16 ! [N: nat,D: list,D_prime: list] :
% 1.34/1.16 ( ( listStar @ N @ D @ D_prime )
% 1.34/1.16 => ( listStar @ N @ ( rev @ N @ D ) @ ( rev @ N @ D_prime ) ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(peano1,axiom,
% 1.34/1.16 ! [N: nat] :
% 1.34/1.16 ( ( suc @ N )
% 1.34/1.16 != zero ) ).
% 1.34/1.16
% 1.34/1.16 thf(peano2,axiom,
% 1.34/1.16 ! [N: nat,M: nat] :
% 1.34/1.16 ( ( N != M )
% 1.34/1.16 => ( ( suc @ N )
% 1.34/1.16 != ( suc @ M ) ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(peano3,axiom,
% 1.34/1.16 ! [P: nat > $o] :
% 1.34/1.16 ( ( P @ zero )
% 1.34/1.16 => ( ! [M: nat] :
% 1.34/1.16 ( ( P @ M )
% 1.34/1.16 => ( P @ ( suc @ M ) ) )
% 1.34/1.16 => ! [N: nat] : ( P @ N ) ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(ax1,axiom,
% 1.34/1.16 ! [N: nat] :
% 1.34/1.16 ( ( plus @ zero @ N )
% 1.34/1.16 = N ) ).
% 1.34/1.16
% 1.34/1.16 thf(ax2,axiom,
% 1.34/1.16 ! [N: nat,M: nat] :
% 1.34/1.16 ( ( plus @ ( suc @ N ) @ M )
% 1.34/1.16 = ( suc @ ( plus @ N @ M ) ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(ax3,axiom,
% 1.34/1.16 ! [N: nat,X: list] :
% 1.34/1.16 ( ( listStar @ N @ X @ X )
% 1.34/1.16 => ( listStar @ ( plus @ zero @ N ) @ ( app @ zero @ N @ nil @ X ) @ X ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(plus_com,axiom,
% 1.34/1.16 ! [N: nat,M: nat] :
% 1.34/1.16 ( ( plus @ N @ M )
% 1.34/1.16 = ( plus @ M @ N ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(plus1r,axiom,
% 1.34/1.16 ! [N: nat] :
% 1.34/1.16 ( ( suc @ N )
% 1.34/1.16 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 1.34/1.16
% 1.34/1.16 thf(list_rev_invol_step4,conjecture,
% 1.34/1.16 ! [N: nat,L: list] :
% 1.34/1.16 ( ( listStar @ N @ L @ L )
% 1.34/1.16 => ( ( listStar @ N @ ( rev @ N @ ( rev @ N @ L ) ) @ ( app @ zero @ N @ nil @ L ) )
% 1.34/1.16 => ( listStar @ N @ ( rev @ N @ ( rev @ N @ L ) ) @ L ) ) ) ).
% 1.34/1.16 ------------------------
% 1.34/1.17 % (27049)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_26892 for (2999ds/27Mi)
% 1.34/1.17 % (27047)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/183Mi)
% 1.34/1.17 % (27053)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/18Mi)
% 1.34/1.17 % (27051)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_26892 for (2999ds/2Mi)
% 1.34/1.17 % (27048)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_26892 for (2999ds/4Mi)
% 1.34/1.17 % (27050)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/2Mi)
% 1.34/1.17 % (27052)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_26892 for (2999ds/275Mi)
% 1.34/1.17 % (27050)Instruction limit reached!
% 1.34/1.17 % (27050)------------------------------
% 1.34/1.17 % (27050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (27050)Termination reason: Unknown
% 1.34/1.17 % (27050)Termination phase: Property scanning
% 1.34/1.17
% 1.34/1.17 % (27050)Memory used [KB]: 1023
% 1.34/1.17 % (27050)Time elapsed: 0.002 s
% 1.34/1.17 % (27050)Instructions burned: 2 (million)
% 1.34/1.17 % (27050)------------------------------
% 1.34/1.17 % (27050)------------------------------
% 1.34/1.17 % (27051)Instruction limit reached!
% 1.34/1.17 % (27051)------------------------------
% 1.34/1.17 % (27051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (27051)Termination reason: Unknown
% 1.34/1.17 % (27051)Termination phase: shuffling
% 1.34/1.17
% 1.34/1.17 % (27051)Memory used [KB]: 1023
% 1.34/1.17 % (27051)Time elapsed: 0.002 s
% 1.34/1.17 % (27051)Instructions burned: 2 (million)
% 1.34/1.17 % (27051)------------------------------
% 1.34/1.17 % (27051)------------------------------
% 1.34/1.17 % (27048)Instruction limit reached!
% 1.34/1.17 % (27048)------------------------------
% 1.34/1.17 % (27048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (27048)Termination reason: Unknown
% 1.34/1.17 % (27048)Termination phase: Property scanning
% 1.34/1.17
% 1.34/1.17 % (27048)Memory used [KB]: 1023
% 1.34/1.17 % (27048)Time elapsed: 0.003 s
% 1.34/1.17 % (27048)Instructions burned: 5 (million)
% 1.34/1.17 % (27048)------------------------------
% 1.34/1.17 % (27048)------------------------------
% 1.34/1.17 % (27052)Refutation not found, incomplete strategy
% 1.34/1.17 % (27052)------------------------------
% 1.34/1.17 % (27052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (27052)Termination reason: Refutation not found, incomplete strategy
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17 % (27052)Memory used [KB]: 5500
% 1.34/1.17 % (27052)Time elapsed: 0.003 s
% 1.34/1.17 % (27052)Instructions burned: 5 (million)
% 1.34/1.17 % (27052)------------------------------
% 1.34/1.17 % (27052)------------------------------
% 1.34/1.18 % (27053)Instruction limit reached!
% 1.34/1.18 % (27053)------------------------------
% 1.34/1.18 % (27053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.18 % (27053)Termination reason: Unknown
% 1.34/1.18 % (27053)Termination phase: Saturation
% 1.34/1.18
% 1.34/1.18 % (27053)Memory used [KB]: 5628
% 1.34/1.18 % (27053)Time elapsed: 0.008 s
% 1.34/1.18 % (27053)Instructions burned: 20 (million)
% 1.34/1.18 % (27053)------------------------------
% 1.34/1.18 % (27053)------------------------------
% 1.34/1.18 % (27049)Instruction limit reached!
% 1.34/1.18 % (27049)------------------------------
% 1.34/1.18 % (27049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.18 % (27049)Termination reason: Unknown
% 1.34/1.18 % (27049)Termination phase: Saturation
% 1.34/1.18
% 1.34/1.18 % (27049)Memory used [KB]: 5756
% 1.34/1.18 % (27049)Time elapsed: 0.011 s
% 1.34/1.18 % (27049)Instructions burned: 27 (million)
% 1.34/1.18 % (27049)------------------------------
% 1.34/1.18 % (27049)------------------------------
% 1.34/1.18 % (27058)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/3Mi)
% 1.34/1.18 % (27059)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_26892 for (2999ds/37Mi)
% 1.34/1.18 % (27058)Instruction limit reached!
% 1.34/1.18 % (27058)------------------------------
% 1.34/1.18 % (27058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.18 % (27058)Termination reason: Unknown
% 1.34/1.18 % (27058)Termination phase: Property scanning
% 1.34/1.18
% 1.34/1.18 % (27058)Memory used [KB]: 1023
% 1.34/1.18 % (27058)Time elapsed: 0.002 s
% 1.34/1.18 % (27058)Instructions burned: 3 (million)
% 1.34/1.18 % (27058)------------------------------
% 1.34/1.18 % (27058)------------------------------
% 1.34/1.18 % (27060)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_26892 for (2999ds/15Mi)
% 1.34/1.18 % (27061)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_26892 for (2999ds/3Mi)
% 1.34/1.19 % (27061)Instruction limit reached!
% 1.34/1.19 % (27061)------------------------------
% 1.34/1.19 % (27061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.19 % (27061)Termination reason: Unknown
% 1.34/1.19 % (27061)Termination phase: Property scanning
% 1.34/1.19
% 1.34/1.19 % (27061)Memory used [KB]: 1023
% 1.34/1.19 % (27061)Time elapsed: 0.002 s
% 1.34/1.19 % (27061)Instructions burned: 3 (million)
% 1.34/1.19 % (27061)------------------------------
% 1.34/1.19 % (27061)------------------------------
% 1.34/1.19 % (27064)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_26892 for (2999ds/1041Mi)
% 1.34/1.19 % (27060)Instruction limit reached!
% 1.34/1.19 % (27060)------------------------------
% 1.34/1.19 % (27060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.19 % (27060)Termination reason: Unknown
% 1.34/1.19 % (27060)Termination phase: Saturation
% 1.34/1.19
% 1.34/1.19 % (27060)Memory used [KB]: 5756
% 1.34/1.19 % (27060)Time elapsed: 0.007 s
% 1.34/1.19 % (27060)Instructions burned: 17 (million)
% 1.34/1.19 % (27060)------------------------------
% 1.34/1.19 % (27060)------------------------------
% 1.34/1.19 % (27065)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/7Mi)
% 1.34/1.19 % (27066)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/16Mi)
% 1.34/1.19 % (27065)Instruction limit reached!
% 1.34/1.19 % (27065)------------------------------
% 1.34/1.19 % (27065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.19 % (27065)Termination reason: Unknown
% 1.34/1.19 % (27065)Termination phase: Saturation
% 1.34/1.19
% 1.34/1.19 % (27065)Memory used [KB]: 1151
% 1.34/1.19 % (27065)Time elapsed: 0.004 s
% 1.34/1.19 % (27065)Instructions burned: 9 (million)
% 1.34/1.19 % (27065)------------------------------
% 1.34/1.19 % (27065)------------------------------
% 1.34/1.19 % (27067)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_26892 for (2999ds/3Mi)
% 1.34/1.20 % (27059)Instruction limit reached!
% 1.34/1.20 % (27059)------------------------------
% 1.34/1.20 % (27059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.20 % (27059)Termination reason: Unknown
% 1.34/1.20 % (27059)Termination phase: Saturation
% 1.34/1.20
% 1.34/1.20 % (27059)Memory used [KB]: 5884
% 1.34/1.20 % (27059)Time elapsed: 0.014 s
% 1.34/1.20 % (27059)Instructions burned: 39 (million)
% 1.34/1.20 % (27059)------------------------------
% 1.34/1.20 % (27059)------------------------------
% 1.34/1.20 % (27067)Instruction limit reached!
% 1.34/1.20 % (27067)------------------------------
% 1.34/1.20 % (27067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.20 % (27067)Termination reason: Unknown
% 1.34/1.20 % (27067)Termination phase: Property scanning
% 1.34/1.20
% 1.34/1.20 % (27067)Memory used [KB]: 1023
% 1.34/1.20 % (27067)Time elapsed: 0.002 s
% 1.34/1.20 % (27067)Instructions burned: 3 (million)
% 1.34/1.20 % (27067)------------------------------
% 1.34/1.20 % (27067)------------------------------
% 1.41/1.20 % (27066)Instruction limit reached!
% 1.41/1.20 % (27066)------------------------------
% 1.41/1.20 % (27066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.20 % (27066)Termination reason: Unknown
% 1.41/1.20 % (27069)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_26892 for (2999ds/3Mi)
% 1.41/1.20 % (27066)Termination phase: Saturation
% 1.41/1.20
% 1.41/1.20 % (27066)Memory used [KB]: 5756
% 1.41/1.20 % (27066)Time elapsed: 0.007 s
% 1.41/1.20 % (27066)Instructions burned: 17 (million)
% 1.41/1.20 % (27066)------------------------------
% 1.41/1.20 % (27066)------------------------------
% 1.41/1.20 % (27069)Instruction limit reached!
% 1.41/1.20 % (27069)------------------------------
% 1.41/1.20 % (27069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.20 % (27069)Termination reason: Unknown
% 1.41/1.20 % (27069)Termination phase: shuffling
% 1.41/1.20
% 1.41/1.20 % (27069)Memory used [KB]: 1023
% 1.41/1.20 % (27069)Time elapsed: 0.002 s
% 1.41/1.20 % (27069)Instructions burned: 3 (million)
% 1.41/1.20 % (27069)------------------------------
% 1.41/1.20 % (27069)------------------------------
% 1.41/1.20 % (27072)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/7Mi)
% 1.41/1.20 % (27074)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/3Mi)
% 1.41/1.21 % (27075)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/4Mi)
% 1.41/1.21 % (27072)Instruction limit reached!
% 1.41/1.21 % (27072)------------------------------
% 1.41/1.21 % (27072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.21 % (27072)Termination reason: Unknown
% 1.41/1.21 % (27072)Termination phase: Saturation
% 1.41/1.21
% 1.41/1.21 % (27072)Memory used [KB]: 5500
% 1.41/1.21 % (27072)Time elapsed: 0.003 s
% 1.41/1.21 % (27072)Instructions burned: 7 (million)
% 1.41/1.21 % (27072)------------------------------
% 1.41/1.21 % (27072)------------------------------
% 1.41/1.21 % (27074)Instruction limit reached!
% 1.41/1.21 % (27074)------------------------------
% 1.41/1.21 % (27074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.21 % (27074)Termination reason: Unknown
% 1.41/1.21 % (27074)Termination phase: Property scanning
% 1.41/1.21
% 1.41/1.21 % (27074)Memory used [KB]: 1023
% 1.41/1.21 % (27074)Time elapsed: 0.002 s
% 1.41/1.21 % (27074)Instructions burned: 4 (million)
% 1.41/1.21 % (27074)------------------------------
% 1.41/1.21 % (27074)------------------------------
% 1.41/1.21 % (27075)Instruction limit reached!
% 1.41/1.21 % (27075)------------------------------
% 1.41/1.21 % (27075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.21 % (27075)Termination reason: Unknown
% 1.41/1.21 % (27075)Termination phase: Preprocessing 3
% 1.41/1.21
% 1.41/1.21 % (27075)Memory used [KB]: 1023
% 1.41/1.21 % (27075)Time elapsed: 0.002 s
% 1.41/1.21 % (27075)Instructions burned: 4 (million)
% 1.41/1.21 % (27075)------------------------------
% 1.41/1.21 % (27075)------------------------------
% 1.41/1.21 % (27079)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/18Mi)
% 1.41/1.21 % (27080)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/710Mi)
% 1.41/1.21 % (27079)Instruction limit reached!
% 1.41/1.21 % (27079)------------------------------
% 1.41/1.21 % (27079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.21 % (27079)Termination reason: Unknown
% 1.41/1.21 % (27079)Termination phase: Saturation
% 1.41/1.21
% 1.41/1.21 % (27079)Memory used [KB]: 5628
% 1.41/1.21 % (27079)Time elapsed: 0.008 s
% 1.41/1.21 % (27079)Instructions burned: 20 (million)
% 1.41/1.21 % (27079)------------------------------
% 1.41/1.21 % (27079)------------------------------
% 1.41/1.22 % (27083)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/6Mi)
% 1.41/1.22 % (27084)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_26892 for (2999ds/902Mi)
% 1.41/1.22 % (27085)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_26892 for (2999ds/21Mi)
% 1.41/1.22 % (27083)Instruction limit reached!
% 1.41/1.22 % (27083)------------------------------
% 1.41/1.22 % (27083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.22 % (27083)Termination reason: Unknown
% 1.41/1.22 % (27083)Termination phase: Saturation
% 1.41/1.22
% 1.41/1.22 % (27083)Memory used [KB]: 5500
% 1.41/1.22 % (27083)Time elapsed: 0.003 s
% 1.41/1.22 % (27083)Instructions burned: 6 (million)
% 1.41/1.22 % (27083)------------------------------
% 1.41/1.22 % (27083)------------------------------
% 1.41/1.22 % (27085)Instruction limit reached!
% 1.41/1.22 % (27085)------------------------------
% 1.41/1.22 % (27085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.22 % (27085)Termination reason: Unknown
% 1.41/1.22 % (27085)Termination phase: Saturation
% 1.41/1.22
% 1.41/1.22 % (27085)Memory used [KB]: 5756
% 1.41/1.22 % (27085)Time elapsed: 0.009 s
% 1.41/1.22 % (27085)Instructions burned: 23 (million)
% 1.41/1.22 % (27085)------------------------------
% 1.41/1.22 % (27085)------------------------------
% 1.41/1.22 % (27086)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/5Mi)
% 1.41/1.23 % (27086)Instruction limit reached!
% 1.41/1.23 % (27086)------------------------------
% 1.41/1.23 % (27086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.23 % (27086)Termination reason: Unknown
% 1.41/1.23 % (27086)Termination phase: Saturation
% 1.41/1.23
% 1.41/1.23 % (27086)Memory used [KB]: 5500
% 1.41/1.23 % (27087)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_26892 for (2999ds/6Mi)
% 1.41/1.23 % (27086)Time elapsed: 0.003 s
% 1.41/1.23 % (27086)Instructions burned: 7 (million)
% 1.41/1.23 % (27086)------------------------------
% 1.41/1.23 % (27086)------------------------------
% 1.41/1.23 % (27087)Instruction limit reached!
% 1.41/1.23 % (27087)------------------------------
% 1.41/1.23 % (27087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.23 % (27087)Termination reason: Unknown
% 1.41/1.23 % (27087)Termination phase: Saturation
% 1.41/1.23
% 1.41/1.23 % (27087)Memory used [KB]: 5500
% 1.41/1.23 % (27087)Time elapsed: 0.003 s
% 1.41/1.23 % (27087)Instructions burned: 7 (million)
% 1.41/1.23 % (27087)------------------------------
% 1.41/1.23 % (27087)------------------------------
% 1.41/1.23 % (27047)Instruction limit reached!
% 1.41/1.23 % (27047)------------------------------
% 1.41/1.23 % (27047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.23 % (27047)Termination reason: Unknown
% 1.41/1.23 % (27047)Termination phase: Saturation
% 1.41/1.23
% 1.41/1.23 % (27047)Memory used [KB]: 6396
% 1.41/1.23 % (27047)Time elapsed: 0.060 s
% 1.41/1.23 % (27047)Instructions burned: 184 (million)
% 1.41/1.23 % (27047)------------------------------
% 1.41/1.23 % (27047)------------------------------
% 1.41/1.23 % (27090)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/377Mi)
% 1.41/1.24 % (27094)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_26892 for (2999ds/779Mi)
% 1.41/1.24 % (27098)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_26892 for (2999ds/19Mi)
% 1.41/1.24 % (27101)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/879Mi)
% 1.41/1.24 % (27098)Instruction limit reached!
% 1.41/1.24 % (27098)------------------------------
% 1.41/1.24 % (27098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.24 % (27098)Termination reason: Unknown
% 1.41/1.24 % (27098)Termination phase: Saturation
% 1.41/1.24
% 1.41/1.24 % (27098)Memory used [KB]: 5756
% 1.41/1.24 % (27098)Time elapsed: 0.008 s
% 1.41/1.24 % (27098)Instructions burned: 20 (million)
% 1.41/1.24 % (27098)------------------------------
% 1.41/1.24 % (27098)------------------------------
% 1.41/1.25 % (27109)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/17Mi)
% 1.41/1.26 % (27109)Instruction limit reached!
% 1.41/1.26 % (27109)------------------------------
% 1.41/1.26 % (27109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.26 % (27109)Termination reason: Unknown
% 1.41/1.26 % (27109)Termination phase: Saturation
% 1.41/1.26
% 1.41/1.26 % (27109)Memory used [KB]: 5628
% 1.41/1.26 % (27109)Time elapsed: 0.007 s
% 1.41/1.26 % (27109)Instructions burned: 17 (million)
% 1.41/1.26 % (27109)------------------------------
% 1.41/1.26 % (27109)------------------------------
% 1.41/1.27 % (27113)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/3Mi)
% 1.41/1.27 % (27113)Instruction limit reached!
% 1.41/1.27 % (27113)------------------------------
% 1.41/1.27 % (27113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.27 % (27113)Termination reason: Unknown
% 1.41/1.27 % (27113)Termination phase: Preprocessing 3
% 1.41/1.27
% 1.41/1.27 % (27113)Memory used [KB]: 1023
% 1.41/1.27 % (27113)Time elapsed: 0.002 s
% 1.41/1.27 % (27113)Instructions burned: 4 (million)
% 1.41/1.27 % (27113)------------------------------
% 1.41/1.27 % (27113)------------------------------
% 1.41/1.28 % (27119)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_26892 for (2999ds/30Mi)
% 1.41/1.29 % (27119)Instruction limit reached!
% 1.41/1.29 % (27119)------------------------------
% 1.41/1.29 % (27119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.29 % (27119)Termination reason: Unknown
% 1.41/1.29 % (27119)Termination phase: Saturation
% 1.41/1.29
% 1.41/1.29 % (27119)Memory used [KB]: 5756
% 1.41/1.29 % (27119)Time elapsed: 0.012 s
% 1.41/1.29 % (27119)Instructions burned: 32 (million)
% 1.41/1.29 % (27119)------------------------------
% 1.41/1.29 % (27119)------------------------------
% 1.41/1.30 % (27134)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_26892 for (2998ds/127Mi)
% 1.41/1.34 % (27134)Instruction limit reached!
% 1.41/1.34 % (27134)------------------------------
% 1.41/1.34 % (27134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.34 % (27134)Termination reason: Unknown
% 1.41/1.34 % (27134)Termination phase: Saturation
% 1.41/1.34
% 1.41/1.34 % (27134)Memory used [KB]: 6140
% 1.41/1.34 % (27134)Time elapsed: 0.041 s
% 1.41/1.34 % (27134)Instructions burned: 129 (million)
% 1.41/1.34 % (27134)------------------------------
% 1.41/1.34 % (27134)------------------------------
% 1.41/1.35 % (27155)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_26892 for (2998ds/100Mi)
% 1.41/1.35 % (27090)Instruction limit reached!
% 1.41/1.35 % (27090)------------------------------
% 1.41/1.35 % (27090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.35 % (27090)Termination reason: Unknown
% 1.41/1.35 % (27090)Termination phase: Saturation
% 1.41/1.35
% 1.41/1.35 % (27090)Memory used [KB]: 6140
% 1.41/1.35 % (27090)Time elapsed: 0.121 s
% 1.41/1.35 % (27090)Instructions burned: 378 (million)
% 1.41/1.35 % (27090)------------------------------
% 1.41/1.35 % (27090)------------------------------
% 1.41/1.36 % (27162)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_26892 for (2998ds/3Mi)
% 1.41/1.36 % (27162)Instruction limit reached!
% 1.41/1.36 % (27162)------------------------------
% 1.41/1.36 % (27162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.36 % (27162)Termination reason: Unknown
% 1.41/1.36 % (27162)Termination phase: Property scanning
% 1.41/1.36
% 1.41/1.36 % (27162)Memory used [KB]: 1023
% 1.41/1.36 % (27162)Time elapsed: 0.002 s
% 1.41/1.36 % (27162)Instructions burned: 4 (million)
% 1.41/1.36 % (27162)------------------------------
% 1.41/1.36 % (27162)------------------------------
% 1.41/1.37 % (27169)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_26892 for (2998ds/20Mi)
% 1.41/1.38 % (27169)Instruction limit reached!
% 1.41/1.38 % (27169)------------------------------
% 1.41/1.38 % (27169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.38 % (27169)Termination reason: Unknown
% 1.41/1.38 % (27169)Termination phase: Saturation
% 1.41/1.38
% 1.41/1.38 % (27169)Memory used [KB]: 5628
% 1.41/1.38 % (27169)Time elapsed: 0.009 s
% 1.41/1.38 % (27169)Instructions burned: 22 (million)
% 1.41/1.38 % (27169)------------------------------
% 1.41/1.38 % (27169)------------------------------
% 1.41/1.38 % (27155)Instruction limit reached!
% 1.41/1.38 % (27155)------------------------------
% 1.41/1.38 % (27155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.38 % (27155)Termination reason: Unknown
% 1.41/1.38 % (27155)Termination phase: Saturation
% 1.41/1.38
% 1.41/1.38 % (27155)Memory used [KB]: 6012
% 1.41/1.38 % (27155)Time elapsed: 0.033 s
% 1.41/1.38 % (27155)Instructions burned: 102 (million)
% 1.41/1.38 % (27155)------------------------------
% 1.41/1.38 % (27155)------------------------------
% 1.41/1.39 % (27175)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_26892 for (2997ds/86Mi)
% 1.41/1.39 % (27176)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_26892 for (2997ds/107Mi)
% 1.41/1.42 % (27175)Instruction limit reached!
% 1.41/1.42 % (27175)------------------------------
% 1.41/1.42 % (27175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.42 % (27175)Termination reason: Unknown
% 1.41/1.42 % (27175)Termination phase: Saturation
% 1.41/1.42
% 1.41/1.42 % (27175)Memory used [KB]: 6268
% 1.41/1.42 % (27175)Time elapsed: 0.029 s
% 1.41/1.42 % (27175)Instructions burned: 86 (million)
% 1.41/1.42 % (27175)------------------------------
% 1.41/1.42 % (27175)------------------------------
% 1.41/1.43 % (27176)Instruction limit reached!
% 1.41/1.43 % (27176)------------------------------
% 1.41/1.43 % (27176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.43 % (27176)Termination reason: Unknown
% 1.41/1.43 % (27176)Termination phase: Saturation
% 1.41/1.43
% 1.41/1.43 % (27176)Memory used [KB]: 5884
% 1.41/1.43 % (27176)Time elapsed: 0.037 s
% 1.41/1.43 % (27176)Instructions burned: 109 (million)
% 1.41/1.43 % (27176)------------------------------
% 1.41/1.43 % (27176)------------------------------
% 1.41/1.43 % (27080)Instruction limit reached!
% 1.41/1.43 % (27080)------------------------------
% 1.41/1.43 % (27080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.43 % (27080)Termination reason: Unknown
% 1.41/1.43 % (27080)Termination phase: Saturation
% 1.41/1.43
% 1.41/1.43 % (27080)Memory used [KB]: 6908
% 1.41/1.43 % (27080)Time elapsed: 0.219 s
% 1.41/1.43 % (27080)Instructions burned: 711 (million)
% 1.41/1.43 % (27080)------------------------------
% 1.41/1.43 % (27080)------------------------------
% 1.41/1.43 % (27188)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_26892 for (2997ds/39Mi)
% 1.41/1.44 % (27193)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_26892 for (2997ds/448Mi)
% 1.41/1.44 % (27188)Instruction limit reached!
% 1.41/1.44 % (27188)------------------------------
% 1.41/1.44 % (27188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.44 % (27188)Termination reason: Unknown
% 1.41/1.44 % (27188)Termination phase: Saturation
% 1.41/1.44
% 1.41/1.44 % (27188)Memory used [KB]: 5756
% 1.41/1.44 % (27188)Time elapsed: 0.014 s
% 1.41/1.44 % (27188)Instructions burned: 39 (million)
% 1.41/1.44 % (27188)------------------------------
% 1.41/1.44 % (27188)------------------------------
% 1.41/1.44 % (27194)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_26892 for (2997ds/46Mi)
% 1.41/1.45 % (27200)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_26892 for (2997ds/98Mi)
% 1.41/1.47 % (27194)Instruction limit reached!
% 1.41/1.47 % (27194)------------------------------
% 1.41/1.47 % (27194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.47 % (27194)Termination reason: Unknown
% 1.41/1.47 % (27194)Termination phase: Saturation
% 1.41/1.47
% 1.41/1.47 % (27194)Memory used [KB]: 5884
% 1.41/1.47 % (27194)Time elapsed: 0.032 s
% 1.41/1.47 % (27194)Instructions burned: 47 (million)
% 1.41/1.47 % (27194)------------------------------
% 1.41/1.47 % (27194)------------------------------
% 1.41/1.48 % (27094)Instruction limit reached!
% 1.41/1.48 % (27094)------------------------------
% 1.41/1.48 % (27094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.48 % (27094)Termination reason: Unknown
% 1.41/1.48 % (27094)Termination phase: Saturation
% 1.41/1.48
% 1.41/1.48 % (27094)Memory used [KB]: 7036
% 1.41/1.48 % (27094)Time elapsed: 0.243 s
% 1.41/1.48 % (27094)Instructions burned: 779 (million)
% 1.41/1.48 % (27094)------------------------------
% 1.41/1.48 % (27094)------------------------------
% 1.41/1.48 % (27200)Instruction limit reached!
% 1.41/1.48 % (27200)------------------------------
% 1.41/1.48 % (27200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.48 % (27200)Termination reason: Unknown
% 1.41/1.48 % (27200)Termination phase: Saturation
% 1.41/1.48
% 1.41/1.48 % (27200)Memory used [KB]: 1279
% 1.41/1.48 % (27200)Time elapsed: 0.032 s
% 1.41/1.48 % (27200)Instructions burned: 98 (million)
% 1.41/1.48 % (27200)------------------------------
% 1.41/1.48 % (27200)------------------------------
% 1.41/1.49 % (27212)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_26892 for (2997ds/149Mi)
% 1.41/1.49 % (27213)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_26892 for (2997ds/39Mi)
% 1.41/1.49 % (27210)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_26892 for (2997ds/507Mi)
% 1.41/1.50 % (27084)Instruction limit reached!
% 1.41/1.50 % (27084)------------------------------
% 1.41/1.50 % (27084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.50 % (27084)Termination reason: Unknown
% 1.41/1.50 % (27084)Termination phase: Saturation
% 1.41/1.50
% 1.41/1.50 % (27084)Memory used [KB]: 7036
% 1.41/1.50 % (27084)Time elapsed: 0.284 s
% 1.41/1.50 % (27084)Instructions burned: 903 (million)
% 1.41/1.50 % (27084)------------------------------
% 1.41/1.50 % (27084)------------------------------
% 1.41/1.50 % (27213)Instruction limit reached!
% 1.41/1.50 % (27213)------------------------------
% 1.41/1.50 % (27213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.50 % (27213)Termination reason: Unknown
% 1.41/1.50 % (27213)Termination phase: Saturation
% 1.41/1.50
% 1.41/1.50 % (27213)Memory used [KB]: 5756
% 1.41/1.50 % (27213)Time elapsed: 0.015 s
% 1.41/1.50 % (27213)Instructions burned: 41 (million)
% 1.41/1.50 % (27213)------------------------------
% 1.41/1.50 % (27213)------------------------------
% 1.41/1.51 % (27219)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_26892 for (2996ds/6Mi)
% 1.41/1.51 % (27064)Instruction limit reached!
% 1.41/1.51 % (27064)------------------------------
% 1.41/1.51 % (27064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.51 % (27064)Termination reason: Unknown
% 1.41/1.51 % (27064)Termination phase: Saturation
% 1.41/1.51
% 1.41/1.51 % (27064)Memory used [KB]: 7547
% 1.41/1.51 % (27064)Time elapsed: 0.322 s
% 1.41/1.51 % (27064)Instructions burned: 1043 (million)
% 1.41/1.51 % (27064)------------------------------
% 1.41/1.51 % (27064)------------------------------
% 1.41/1.51 % (27219)Instruction limit reached!
% 1.41/1.51 % (27219)------------------------------
% 1.41/1.51 % (27219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.51 % (27219)Termination reason: Unknown
% 1.41/1.51 % (27219)Termination phase: Saturation
% 1.41/1.51
% 1.41/1.51 % (27219)Memory used [KB]: 9978
% 1.41/1.51 % (27219)Time elapsed: 0.003 s
% 1.41/1.51 % (27219)Instructions burned: 6 (million)
% 1.41/1.51 % (27219)------------------------------
% 1.41/1.51 % (27219)------------------------------
% 1.41/1.51 % (27220)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_26892 for (2996ds/1087Mi)
% 1.41/1.52 % (27101)Instruction limit reached!
% 1.41/1.52 % (27101)------------------------------
% 1.41/1.52 % (27101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.52 % (27101)Termination reason: Unknown
% 1.41/1.52 % (27101)Termination phase: Saturation
% 1.41/1.52
% 1.41/1.52 % (27101)Memory used [KB]: 7931
% 1.41/1.52 % (27101)Time elapsed: 0.279 s
% 1.41/1.52 % (27101)Instructions burned: 879 (million)
% 1.41/1.52 % (27101)------------------------------
% 1.41/1.52 % (27101)------------------------------
% 1.41/1.52 % (27222)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_26892 for (2996ds/47Mi)
% 1.41/1.52 % (27223)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_26892 for (2996ds/44Mi)
% 1.41/1.53 % (27228)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_26892 for (2996ds/432Mi)
% 1.41/1.53 % (27223)Instruction limit reached!
% 1.41/1.53 % (27223)------------------------------
% 1.41/1.53 % (27223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.53 % (27223)Termination reason: Unknown
% 1.41/1.53 % (27223)Termination phase: Saturation
% 1.41/1.53
% 1.41/1.53 % (27223)Memory used [KB]: 1279
% 1.41/1.53 % (27223)Time elapsed: 0.036 s
% 1.41/1.53 % (27223)Instructions burned: 45 (million)
% 1.41/1.53 % (27223)------------------------------
% 1.41/1.53 % (27223)------------------------------
% 1.41/1.53 % (27212)Instruction limit reached!
% 1.41/1.53 % (27212)------------------------------
% 1.41/1.53 % (27212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.53 % (27212)Termination reason: Unknown
% 1.41/1.53 % (27212)Termination phase: Saturation
% 1.41/1.53
% 1.41/1.53 % (27212)Memory used [KB]: 6268
% 1.41/1.53 % (27212)Time elapsed: 0.049 s
% 1.41/1.53 % (27212)Instructions burned: 151 (million)
% 1.41/1.53 % (27212)------------------------------
% 1.41/1.53 % (27212)------------------------------
% 1.41/1.54 % (27222)Instruction limit reached!
% 1.41/1.54 % (27222)------------------------------
% 1.41/1.54 % (27222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.54 % (27222)Termination reason: Unknown
% 1.41/1.54 % (27222)Termination phase: Saturation
% 1.41/1.54
% 1.41/1.54 % (27222)Memory used [KB]: 5756
% 1.41/1.54 % (27222)Time elapsed: 0.039 s
% 1.41/1.54 % (27222)Instructions burned: 49 (million)
% 1.41/1.54 % (27222)------------------------------
% 1.41/1.54 % (27222)------------------------------
% 1.41/1.54 % (27234)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_26892 for (2996ds/62Mi)
% 1.41/1.54 % (27236)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_26892 for (2996ds/31Mi)
% 1.41/1.54 % (27237)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_26892 for (2996ds/96Mi)
% 1.41/1.56 % (27236)Instruction limit reached!
% 1.41/1.56 % (27236)------------------------------
% 1.41/1.56 % (27236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.56 % (27236)Termination reason: Unknown
% 1.41/1.56 % (27236)Termination phase: Saturation
% 1.41/1.56
% 1.41/1.56 % (27236)Memory used [KB]: 5756
% 1.41/1.56 % (27236)Time elapsed: 0.012 s
% 1.41/1.56 % (27236)Instructions burned: 32 (million)
% 1.41/1.56 % (27236)------------------------------
% 1.41/1.56 % (27236)------------------------------
% 1.41/1.56 % (27234)Instruction limit reached!
% 1.41/1.56 % (27234)------------------------------
% 1.41/1.56 % (27234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.56 % (27234)Termination reason: Unknown
% 1.41/1.56 % (27234)Termination phase: Saturation
% 1.41/1.56
% 1.41/1.56 % (27234)Memory used [KB]: 5884
% 1.41/1.56 % (27234)Time elapsed: 0.022 s
% 1.41/1.56 % (27234)Instructions burned: 64 (million)
% 1.41/1.56 % (27234)------------------------------
% 1.41/1.56 % (27234)------------------------------
% 1.41/1.56 % (27243)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_26892 for (2996ds/453Mi)
% 1.41/1.57 % (27245)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_26892 for (2996ds/71Mi)
% 1.41/1.58 % (27237)Instruction limit reached!
% 1.41/1.58 % (27237)------------------------------
% 1.41/1.58 % (27237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.58 % (27237)Termination reason: Unknown
% 1.41/1.58 % (27237)Termination phase: Saturation
% 1.41/1.58
% 1.41/1.58 % (27237)Memory used [KB]: 5884
% 1.41/1.58 % (27237)Time elapsed: 0.032 s
% 1.41/1.58 % (27237)Instructions burned: 96 (million)
% 1.41/1.58 % (27237)------------------------------
% 1.41/1.58 % (27237)------------------------------
% 1.41/1.58 % (27193)Instruction limit reached!
% 1.41/1.58 % (27193)------------------------------
% 1.41/1.58 % (27193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.58 % (27193)Termination reason: Unknown
% 1.41/1.58 % (27193)Termination phase: Saturation
% 1.41/1.58
% 1.41/1.58 % (27193)Memory used [KB]: 6652
% 1.41/1.58 % (27193)Time elapsed: 0.141 s
% 1.41/1.58 % (27193)Instructions burned: 449 (million)
% 1.41/1.58 % (27193)------------------------------
% 1.41/1.58 % (27193)------------------------------
% 1.41/1.58 % (27251)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/83Mi)
% 1.41/1.59 % (27252)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/11Mi)
% 1.41/1.59 % (27252)Instruction limit reached!
% 1.41/1.59 % (27252)------------------------------
% 1.41/1.59 % (27252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.59 % (27252)Termination reason: Unknown
% 1.41/1.59 % (27252)Termination phase: Saturation
% 1.41/1.59
% 1.41/1.59 % (27252)Memory used [KB]: 5628
% 1.41/1.59 % (27252)Time elapsed: 0.005 s
% 1.41/1.59 % (27252)Instructions burned: 14 (million)
% 1.41/1.59 % (27252)------------------------------
% 1.41/1.59 % (27252)------------------------------
% 1.41/1.60 % (27245)Instruction limit reached!
% 1.41/1.60 % (27245)------------------------------
% 1.41/1.60 % (27245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.60 % (27245)Termination reason: Unknown
% 1.41/1.60 % (27245)Termination phase: Saturation
% 1.41/1.60
% 1.41/1.60 % (27245)Memory used [KB]: 5884
% 1.41/1.60 % (27245)Time elapsed: 0.024 s
% 1.41/1.60 % (27245)Instructions burned: 71 (million)
% 1.41/1.60 % (27245)------------------------------
% 1.41/1.60 % (27245)------------------------------
% 1.41/1.60 % (27260)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_26892 for (2995ds/41Mi)
% 1.41/1.61 % (27265)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/6Mi)
% 1.41/1.61 % (27265)Instruction limit reached!
% 1.41/1.61 % (27265)------------------------------
% 1.41/1.61 % (27265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.61 % (27265)Termination reason: Unknown
% 1.41/1.61 % (27265)Termination phase: Property scanning
% 1.41/1.61
% 1.41/1.61 % (27265)Memory used [KB]: 1023
% 1.41/1.61 % (27265)Time elapsed: 0.003 s
% 1.41/1.61 % (27265)Instructions burned: 6 (million)
% 1.41/1.61 % (27265)------------------------------
% 1.41/1.61 % (27265)------------------------------
% 1.41/1.61 % (27251)Instruction limit reached!
% 1.41/1.61 % (27251)------------------------------
% 1.41/1.61 % (27251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.61 % (27251)Termination reason: Unknown
% 1.41/1.61 % (27251)Termination phase: Saturation
% 1.41/1.61
% 1.41/1.61 % (27251)Memory used [KB]: 5884
% 1.41/1.61 % (27251)Time elapsed: 0.028 s
% 1.41/1.61 % (27251)Instructions burned: 85 (million)
% 1.41/1.61 % (27251)------------------------------
% 1.41/1.61 % (27251)------------------------------
% 1.41/1.61 % (27260)Instruction limit reached!
% 1.41/1.61 % (27260)------------------------------
% 1.41/1.61 % (27260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.61 % (27260)Termination reason: Unknown
% 1.41/1.61 % (27260)Termination phase: Saturation
% 1.41/1.61
% 1.41/1.61 % (27260)Memory used [KB]: 5756
% 1.41/1.61 % (27260)Time elapsed: 0.015 s
% 1.41/1.61 % (27260)Instructions burned: 42 (million)
% 1.41/1.61 % (27260)------------------------------
% 1.41/1.61 % (27260)------------------------------
% 1.41/1.62 % (27274)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/150Mi)
% 1.41/1.62 % (27278)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/343Mi)
% 1.41/1.62 % (27279)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/109Mi)
% 1.41/1.64 % (27210)Instruction limit reached!
% 1.41/1.64 % (27210)------------------------------
% 1.41/1.64 % (27210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.64 % (27210)Termination reason: Unknown
% 1.41/1.64 % (27210)Termination phase: Saturation
% 1.41/1.64
% 1.41/1.64 % (27210)Memory used [KB]: 6268
% 1.41/1.64 % (27210)Time elapsed: 0.156 s
% 1.41/1.64 % (27210)Instructions burned: 507 (million)
% 1.41/1.64 % (27210)------------------------------
% 1.41/1.64 % (27210)------------------------------
% 1.41/1.65 % (27293)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/253Mi)
% 1.41/1.66 % (27279)Instruction limit reached!
% 1.41/1.66 % (27279)------------------------------
% 1.41/1.66 % (27279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.66 % (27279)Termination reason: Unknown
% 1.41/1.66 % (27279)Termination phase: Saturation
% 1.41/1.66
% 1.41/1.66 % (27279)Memory used [KB]: 6268
% 1.41/1.66 % (27279)Time elapsed: 0.035 s
% 1.41/1.66 % (27279)Instructions burned: 110 (million)
% 1.41/1.66 % (27279)------------------------------
% 1.41/1.66 % (27279)------------------------------
% 1.41/1.66 % (27228)Instruction limit reached!
% 1.41/1.66 % (27228)------------------------------
% 1.41/1.66 % (27228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.66 % (27228)Termination reason: Unknown
% 1.41/1.66 % (27228)Termination phase: Saturation
% 1.41/1.66
% 1.41/1.66 % (27228)Memory used [KB]: 3965
% 1.41/1.66 % (27228)Time elapsed: 0.154 s
% 1.41/1.66 % (27228)Instructions burned: 433 (million)
% 1.41/1.66 % (27228)------------------------------
% 1.41/1.66 % (27228)------------------------------
% 1.41/1.66 % (27274)Instruction limit reached!
% 1.41/1.66 % (27274)------------------------------
% 1.41/1.66 % (27274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.66 % (27274)Termination reason: Unknown
% 1.41/1.66 % (27274)Termination phase: Saturation
% 1.41/1.66
% 1.41/1.66 % (27274)Memory used [KB]: 6268
% 1.41/1.66 % (27274)Time elapsed: 0.047 s
% 1.41/1.66 % (27274)Instructions burned: 150 (million)
% 1.41/1.66 % (27274)------------------------------
% 1.41/1.66 % (27274)------------------------------
% 1.41/1.67 % (27294)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/140Mi)
% 1.41/1.67 % (27295)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/614Mi)
% 1.41/1.67 % (27296)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_26892 for (2995ds/202Mi)
% 1.41/1.67 % (27296)Refutation not found, incomplete strategy
% 1.41/1.67 % (27296)------------------------------
% 1.41/1.67 % (27296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.67 % (27296)Termination reason: Refutation not found, incomplete strategy
% 1.41/1.67
% 1.41/1.67
% 1.41/1.67 % (27296)Memory used [KB]: 5628
% 1.41/1.67 % (27296)Time elapsed: 0.003 s
% 1.41/1.67 % (27296)Instructions burned: 6 (million)
% 1.41/1.67 % (27296)------------------------------
% 1.41/1.67 % (27296)------------------------------
% 1.41/1.68 % (27297)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_26892 for (2994ds/339Mi)
% 1.41/1.70 % (27243)Instruction limit reached!
% 1.41/1.70 % (27243)------------------------------
% 1.41/1.70 % (27243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.70 % (27243)Termination reason: Unknown
% 1.41/1.70 % (27243)Termination phase: Saturation
% 1.41/1.70
% 1.41/1.70 % (27243)Memory used [KB]: 6140
% 1.41/1.70 % (27243)Time elapsed: 0.141 s
% 1.41/1.70 % (27243)Instructions burned: 456 (million)
% 1.41/1.70 % (27243)------------------------------
% 1.41/1.70 % (27243)------------------------------
% 1.41/1.71 % (27294)Instruction limit reached!
% 1.41/1.71 % (27294)------------------------------
% 1.41/1.71 % (27294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.71 % (27294)Termination reason: Unknown
% 1.41/1.71 % (27294)Termination phase: Saturation
% 1.41/1.71
% 1.41/1.71 % (27294)Memory used [KB]: 6012
% 1.41/1.71 % (27294)Time elapsed: 0.046 s
% 1.41/1.71 % (27294)Instructions burned: 142 (million)
% 1.41/1.71 % (27294)------------------------------
% 1.41/1.71 % (27294)------------------------------
% 1.41/1.71 % (27298)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_26892 for (2994ds/283Mi)
% 1.41/1.72 % (27299)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_26892 for (2994ds/134Mi)
% 1.41/1.73 % (27293)Instruction limit reached!
% 1.41/1.73 % (27293)------------------------------
% 1.41/1.73 % (27293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.73 % (27293)Termination reason: Unknown
% 1.41/1.73 % (27293)Termination phase: Saturation
% 1.41/1.73
% 1.41/1.73 % (27293)Memory used [KB]: 6268
% 1.41/1.73 % (27293)Time elapsed: 0.077 s
% 1.41/1.73 % (27293)Instructions burned: 254 (million)
% 1.41/1.73 % (27293)------------------------------
% 1.41/1.73 % (27293)------------------------------
% 1.41/1.73 % (27278)Instruction limit reached!
% 1.41/1.73 % (27278)------------------------------
% 1.41/1.73 % (27278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.73 % (27278)Termination reason: Unknown
% 1.41/1.73 % (27278)Termination phase: Saturation
% 1.41/1.73
% 1.41/1.73 % (27278)Memory used [KB]: 6780
% 1.41/1.73 % (27278)Time elapsed: 0.111 s
% 1.41/1.73 % (27278)Instructions burned: 344 (million)
% 1.41/1.73 % (27278)------------------------------
% 1.41/1.73 % (27278)------------------------------
% 1.41/1.74 % (27300)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_26892 for (2994ds/298Mi)
% 1.41/1.74 % (27301)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_26892 for (2994ds/192Mi)
% 1.41/1.76 % (27299)Instruction limit reached!
% 1.41/1.76 % (27299)------------------------------
% 1.41/1.76 % (27299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.76 % (27299)Termination reason: Unknown
% 1.41/1.76 % (27299)Termination phase: Saturation
% 1.41/1.76
% 1.41/1.76 % (27299)Memory used [KB]: 6268
% 1.41/1.76 % (27299)Time elapsed: 0.045 s
% 1.41/1.76 % (27299)Instructions burned: 136 (million)
% 1.41/1.76 % (27299)------------------------------
% 1.41/1.76 % (27299)------------------------------
% 1.41/1.77 % (27302)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_26892 for (2994ds/258Mi)
% 1.41/1.79 % (27297)Instruction limit reached!
% 1.41/1.79 % (27297)------------------------------
% 1.41/1.79 % (27297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.79 % (27297)Termination reason: Unknown
% 1.41/1.79 % (27297)Termination phase: Saturation
% 1.41/1.79
% 1.41/1.79 % (27297)Memory used [KB]: 6140
% 1.41/1.79 % (27297)Time elapsed: 0.108 s
% 1.41/1.79 % (27297)Instructions burned: 340 (million)
% 1.41/1.79 % (27297)------------------------------
% 1.41/1.79 % (27297)------------------------------
% 1.41/1.80 % (27301)Instruction limit reached!
% 1.41/1.80 % (27301)------------------------------
% 1.41/1.80 % (27301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.80 % (27301)Termination reason: Unknown
% 1.41/1.80 % (27301)Termination phase: Saturation
% 1.41/1.80
% 1.41/1.80 % (27301)Memory used [KB]: 6268
% 1.41/1.80 % (27301)Time elapsed: 0.056 s
% 1.41/1.80 % (27301)Instructions burned: 192 (million)
% 1.41/1.80 % (27301)------------------------------
% 1.41/1.80 % (27301)------------------------------
% 1.41/1.80 % (27298)Instruction limit reached!
% 1.41/1.80 % (27298)------------------------------
% 1.41/1.80 % (27298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.80 % (27298)Termination reason: Unknown
% 1.41/1.80 % (27298)Termination phase: Saturation
% 1.41/1.80
% 1.41/1.80 % (27298)Memory used [KB]: 7803
% 1.41/1.80 % (27298)Time elapsed: 0.085 s
% 1.41/1.80 % (27298)Instructions burned: 285 (million)
% 1.41/1.80 % (27298)------------------------------
% 1.41/1.80 % (27298)------------------------------
% 1.41/1.80 % (27303)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/90Mi)
% 1.41/1.80 % (27304)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/231Mi)
% 1.41/1.81 % (27305)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/458Mi)
% 1.41/1.83 % (27303)Instruction limit reached!
% 1.41/1.83 % (27303)------------------------------
% 1.41/1.83 % (27303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.83 % (27303)Termination reason: Unknown
% 1.41/1.83 % (27303)Termination phase: Saturation
% 1.41/1.83
% 1.41/1.83 % (27303)Memory used [KB]: 5756
% 1.41/1.83 % (27303)Time elapsed: 0.028 s
% 1.41/1.83 % (27303)Instructions burned: 92 (million)
% 1.41/1.83 % (27303)------------------------------
% 1.41/1.83 % (27303)------------------------------
% 1.41/1.83 % (27300)Instruction limit reached!
% 1.41/1.83 % (27300)------------------------------
% 1.41/1.83 % (27300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.83 % (27300)Termination reason: Unknown
% 1.41/1.83 % (27300)Termination phase: Saturation
% 1.41/1.83
% 1.41/1.83 % (27300)Memory used [KB]: 6140
% 1.41/1.83 % (27300)Time elapsed: 0.093 s
% 1.41/1.83 % (27300)Instructions burned: 298 (million)
% 1.41/1.83 % (27300)------------------------------
% 1.41/1.83 % (27300)------------------------------
% 1.41/1.84 % (27306)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_26892 for (2993ds/31Mi)
% 1.41/1.84 % (27307)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/297Mi)
% 1.41/1.84 % (27295)Instruction limit reached!
% 1.41/1.84 % (27295)------------------------------
% 1.41/1.84 % (27295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.84 % (27295)Termination reason: Unknown
% 1.41/1.84 % (27295)Termination phase: Saturation
% 1.41/1.84
% 1.41/1.84 % (27295)Memory used [KB]: 6524
% 1.41/1.84 % (27295)Time elapsed: 0.175 s
% 1.41/1.84 % (27295)Instructions burned: 614 (million)
% 1.41/1.84 % (27295)------------------------------
% 1.41/1.84 % (27295)------------------------------
% 1.41/1.85 % (27306)Instruction limit reached!
% 1.41/1.85 % (27306)------------------------------
% 1.41/1.85 % (27306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.85 % (27306)Termination reason: Unknown
% 1.41/1.85 % (27306)Termination phase: Saturation
% 1.41/1.85
% 1.41/1.85 % (27306)Memory used [KB]: 5756
% 1.41/1.85 % (27306)Time elapsed: 0.011 s
% 1.41/1.85 % (27306)Instructions burned: 32 (million)
% 1.41/1.85 % (27306)------------------------------
% 1.41/1.85 % (27306)------------------------------
% 1.41/1.85 % (27302)Instruction limit reached!
% 1.41/1.85 % (27302)------------------------------
% 1.41/1.85 % (27302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.85 % (27302)Termination reason: Unknown
% 1.41/1.85 % (27302)Termination phase: Saturation
% 1.41/1.85
% 1.41/1.85 % (27302)Memory used [KB]: 6140
% 1.41/1.85 % (27302)Time elapsed: 0.076 s
% 1.41/1.85 % (27302)Instructions burned: 258 (million)
% 1.41/1.85 % (27302)------------------------------
% 1.41/1.85 % (27302)------------------------------
% 1.41/1.85 % (27308)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/987Mi)
% 1.41/1.85 % (27220)Instruction limit reached!
% 1.41/1.85 % (27220)------------------------------
% 1.41/1.85 % (27220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.85 % (27220)Termination reason: Unknown
% 1.41/1.85 % (27220)Termination phase: Saturation
% 1.41/1.85
% 1.41/1.85 % (27220)Memory used [KB]: 6908
% 1.41/1.85 % (27220)Time elapsed: 0.363 s
% 1.41/1.85 % (27220)Instructions burned: 1088 (million)
% 1.41/1.85 % (27220)------------------------------
% 1.41/1.85 % (27220)------------------------------
% 1.41/1.86 % (27309)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/182Mi)
% 1.41/1.86 % (27310)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/182Mi)
% 1.41/1.86 % (27311)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/154Mi)
% 1.41/1.87 % (27311)Refutation not found, incomplete strategy
% 1.41/1.87 % (27311)------------------------------
% 1.41/1.87 % (27311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.87 % (27311)Termination reason: Refutation not found, incomplete strategy
% 1.41/1.87
% 1.41/1.87
% 1.41/1.87 % (27311)Memory used [KB]: 5628
% 1.41/1.87 % (27311)Time elapsed: 0.007 s
% 1.41/1.87 % (27311)Instructions burned: 18 (million)
% 1.41/1.87 % (27311)------------------------------
% 1.41/1.87 % (27311)------------------------------
% 1.41/1.88 % (27304)Instruction limit reached!
% 1.41/1.88 % (27304)------------------------------
% 1.41/1.88 % (27304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.88 % (27304)Termination reason: Unknown
% 1.41/1.88 % (27304)Termination phase: Saturation
% 1.41/1.88
% 1.41/1.88 % (27304)Memory used [KB]: 6780
% 1.41/1.88 % (27304)Time elapsed: 0.073 s
% 1.41/1.88 % (27304)Instructions burned: 233 (million)
% 1.41/1.88 % (27304)------------------------------
% 1.41/1.88 % (27304)------------------------------
% 1.41/1.88 % (27312)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/79Mi)
% 1.41/1.89 % (27313)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_26892 for (2993ds/216Mi)
% 1.41/1.90 % (27312)Instruction limit reached!
% 1.41/1.90 % (27312)------------------------------
% 1.41/1.90 % (27312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.90 % (27312)Termination reason: Unknown
% 1.41/1.90 % (27312)Termination phase: Saturation
% 1.41/1.90
% 1.41/1.90 % (27312)Memory used [KB]: 5756
% 1.41/1.90 % (27312)Time elapsed: 0.027 s
% 1.41/1.90 % (27312)Instructions burned: 79 (million)
% 1.41/1.90 % (27312)------------------------------
% 1.41/1.90 % (27312)------------------------------
% 1.41/1.91 % (27309)Instruction limit reached!
% 1.41/1.91 % (27309)------------------------------
% 1.41/1.91 % (27309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.91 % (27309)Termination reason: Unknown
% 1.41/1.91 % (27309)Termination phase: Saturation
% 1.41/1.91
% 1.41/1.91 % (27309)Memory used [KB]: 6524
% 1.41/1.91 % (27309)Time elapsed: 0.058 s
% 1.41/1.91 % (27309)Instructions burned: 183 (million)
% 1.41/1.91 % (27309)------------------------------
% 1.41/1.91 % (27309)------------------------------
% 1.41/1.91 % (27314)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_26892 for (2992ds/114Mi)
% 1.41/1.91 % (27310)Instruction limit reached!
% 1.41/1.91 % (27310)------------------------------
% 1.41/1.91 % (27310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.91 % (27310)Termination reason: Unknown
% 1.41/1.91 % (27310)Termination phase: Saturation
% 1.41/1.91
% 1.41/1.91 % (27310)Memory used [KB]: 6140
% 1.41/1.91 % (27310)Time elapsed: 0.058 s
% 1.41/1.91 % (27310)Instructions burned: 182 (million)
% 1.41/1.91 % (27310)------------------------------
% 1.41/1.91 % (27310)------------------------------
% 1.41/1.92 % (27315)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_26892 for (2992ds/922Mi)
% 1.41/1.92 % (27316)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_26892 for (2992ds/182Mi)
% 1.41/1.93 % (27307)Instruction limit reached!
% 1.41/1.93 % (27307)------------------------------
% 1.41/1.93 % (27307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.93 % (27307)Termination reason: Unknown
% 1.41/1.93 % (27307)Termination phase: Saturation
% 1.41/1.93
% 1.41/1.93 % (27307)Memory used [KB]: 6524
% 1.41/1.93 % (27307)Time elapsed: 0.094 s
% 1.41/1.93 % (27307)Instructions burned: 298 (million)
% 1.41/1.93 % (27307)------------------------------
% 1.41/1.93 % (27307)------------------------------
% 1.41/1.94 % (27317)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_26892 for (2992ds/164Mi)
% 1.41/1.95 % (27305)Instruction limit reached!
% 1.41/1.95 % (27305)------------------------------
% 1.41/1.95 % (27305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.95 % (27305)Termination reason: Unknown
% 1.41/1.95 % (27305)Termination phase: Saturation
% 1.41/1.95
% 1.41/1.95 % (27305)Memory used [KB]: 6652
% 1.41/1.95 % (27305)Time elapsed: 0.144 s
% 1.41/1.95 % (27305)Instructions burned: 459 (million)
% 1.41/1.95 % (27305)------------------------------
% 1.41/1.95 % (27305)------------------------------
% 1.41/1.95 % (27314)Instruction limit reached!
% 1.41/1.95 % (27314)------------------------------
% 1.41/1.95 % (27314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.95 % (27314)Termination reason: Unknown
% 1.41/1.95 % (27314)Termination phase: Saturation
% 1.41/1.95
% 1.41/1.95 % (27314)Memory used [KB]: 6012
% 1.41/1.95 % (27314)Time elapsed: 0.038 s
% 1.41/1.95 % (27314)Instructions burned: 116 (million)
% 1.41/1.95 % (27314)------------------------------
% 1.41/1.95 % (27314)------------------------------
% 1.41/1.95 % (27313)Instruction limit reached!
% 1.41/1.95 % (27313)------------------------------
% 1.41/1.95 % (27313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.95 % (27313)Termination reason: Unknown
% 1.41/1.95 % (27313)Termination phase: Saturation
% 1.41/1.95
% 1.41/1.95 % (27313)Memory used [KB]: 6396
% 1.41/1.95 % (27313)Time elapsed: 0.068 s
% 1.41/1.95 % (27313)Instructions burned: 218 (million)
% 1.41/1.95 % (27313)------------------------------
% 1.41/1.95 % (27313)------------------------------
% 1.41/1.96 % (27318)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_26892 for (2992ds/50Mi)
% 1.41/1.96 % (27319)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_26892 for (2992ds/368Mi)
% 1.41/1.96 % (27320)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_26892 for (2992ds/1021Mi)
% 1.41/1.98 % (27318)Instruction limit reached!
% 1.41/1.98 % (27318)------------------------------
% 1.41/1.98 % (27318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.98 % (27318)Termination reason: Unknown
% 1.41/1.98 % (27318)Termination phase: Saturation
% 1.41/1.98
% 1.41/1.98 % (27318)Memory used [KB]: 10362
% 1.41/1.98 % (27318)Time elapsed: 0.018 s
% 1.41/1.98 % (27318)Instructions burned: 51 (million)
% 1.41/1.98 % (27318)------------------------------
% 1.41/1.98 % (27318)------------------------------
% 1.41/1.98 % (27316)Instruction limit reached!
% 1.41/1.98 % (27316)------------------------------
% 1.41/1.98 % (27316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.98 % (27316)Termination reason: Unknown
% 1.41/1.98 % (27316)Termination phase: Saturation
% 1.41/1.98
% 1.41/1.98 % (27316)Memory used [KB]: 6012
% 1.41/1.98 % (27316)Time elapsed: 0.058 s
% 1.41/1.98 % (27316)Instructions burned: 184 (million)
% 1.41/1.98 % (27316)------------------------------
% 1.41/1.98 % (27316)------------------------------
% 1.41/1.99 % (27321)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_26892 for (2991ds/267Mi)
% 1.41/1.99 % (27322)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_26892 for (2991ds/204Mi)
% 1.41/1.99 % (27317)Instruction limit reached!
% 1.41/1.99 % (27317)------------------------------
% 1.41/1.99 % (27317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.41/1.99 % (27317)Termination reason: Unknown
% 1.41/1.99 % (27317)Termination phase: Saturation
% 1.41/1.99
% 1.41/1.99 % (27317)Memory used [KB]: 1535
% 1.41/1.99 % (27317)Time elapsed: 0.073 s
% 1.41/1.99 % (27317)Instructions burned: 165 (million)
% 1.41/1.99 % (27317)------------------------------
% 1.41/1.99 % (27317)------------------------------
% 1.41/2.00 % (27323)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_26892 for (2991ds/26Mi)
% 7.29/2.01 % (27323)Instruction limit reached!
% 7.29/2.01 % (27323)------------------------------
% 7.29/2.01 % (27323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.01 % (27323)Termination reason: Unknown
% 7.29/2.01 % (27323)Termination phase: Saturation
% 7.29/2.01
% 7.29/2.01 % (27323)Memory used [KB]: 5756
% 7.29/2.01 % (27323)Time elapsed: 0.009 s
% 7.29/2.01 % (27323)Instructions burned: 26 (million)
% 7.29/2.01 % (27323)------------------------------
% 7.29/2.01 % (27323)------------------------------
% 7.29/2.02 % (27324)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_26892 for (2991ds/53Mi)
% 7.29/2.04 % (27324)Instruction limit reached!
% 7.29/2.04 % (27324)------------------------------
% 7.29/2.04 % (27324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.04 % (27324)Termination reason: Unknown
% 7.29/2.04 % (27324)Termination phase: Saturation
% 7.29/2.04
% 7.29/2.04 % (27324)Memory used [KB]: 5756
% 7.29/2.04 % (27324)Time elapsed: 0.018 s
% 7.29/2.04 % (27324)Instructions burned: 56 (million)
% 7.29/2.04 % (27324)------------------------------
% 7.29/2.04 % (27324)------------------------------
% 7.29/2.05 % (27325)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_26892 for (2991ds/4436Mi)
% 7.29/2.05 % (27322)Instruction limit reached!
% 7.29/2.05 % (27322)------------------------------
% 7.29/2.05 % (27322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.05 % (27322)Termination reason: Unknown
% 7.29/2.05 % (27322)Termination phase: Saturation
% 7.29/2.05
% 7.29/2.05 % (27322)Memory used [KB]: 6012
% 7.29/2.05 % (27322)Time elapsed: 0.065 s
% 7.29/2.05 % (27322)Instructions burned: 204 (million)
% 7.29/2.05 % (27322)------------------------------
% 7.29/2.05 % (27322)------------------------------
% 7.29/2.06 % (27326)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_26892 for (2991ds/1539Mi)
% 7.29/2.07 % (27321)Instruction limit reached!
% 7.29/2.07 % (27321)------------------------------
% 7.29/2.07 % (27321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.07 % (27321)Termination reason: Unknown
% 7.29/2.07 % (27321)Termination phase: Saturation
% 7.29/2.07
% 7.29/2.07 % (27321)Memory used [KB]: 6524
% 7.29/2.07 % (27321)Time elapsed: 0.085 s
% 7.29/2.07 % (27321)Instructions burned: 268 (million)
% 7.29/2.07 % (27321)------------------------------
% 7.29/2.07 % (27321)------------------------------
% 7.29/2.08 % (27327)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_26892 for (2991ds/408Mi)
% 7.84/2.12 % (27319)Instruction limit reached!
% 7.84/2.12 % (27319)------------------------------
% 7.84/2.12 % (27319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.12 % (27319)Termination reason: Unknown
% 7.84/2.12 % (27319)Termination phase: Saturation
% 7.84/2.12
% 7.84/2.12 % (27319)Memory used [KB]: 6780
% 7.84/2.12 % (27319)Time elapsed: 0.163 s
% 7.84/2.12 % (27319)Instructions burned: 369 (million)
% 7.84/2.12 % (27319)------------------------------
% 7.84/2.12 % (27319)------------------------------
% 7.84/2.13 % (27328)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_26892 for (2990ds/5205Mi)
% 7.84/2.16 % (27308)Instruction limit reached!
% 7.84/2.16 % (27308)------------------------------
% 7.84/2.16 % (27308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.16 % (27308)Termination reason: Unknown
% 7.84/2.16 % (27308)Termination phase: Saturation
% 7.84/2.16
% 7.84/2.16 % (27308)Memory used [KB]: 7291
% 7.84/2.16 % (27308)Time elapsed: 0.307 s
% 7.84/2.16 % (27308)Instructions burned: 987 (million)
% 7.84/2.16 % (27308)------------------------------
% 7.84/2.16 % (27308)------------------------------
% 7.84/2.17 % (27329)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_26892 for (2990ds/1913Mi)
% 8.08/2.20 % (27327)Instruction limit reached!
% 8.08/2.20 % (27327)------------------------------
% 8.08/2.20 % (27327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.08/2.20 % (27327)Termination reason: Unknown
% 8.08/2.20 % (27327)Termination phase: Saturation
% 8.08/2.20
% 8.08/2.20 % (27327)Memory used [KB]: 6524
% 8.08/2.20 % (27327)Time elapsed: 0.119 s
% 8.08/2.20 % (27327)Instructions burned: 411 (million)
% 8.08/2.20 % (27327)------------------------------
% 8.08/2.20 % (27327)------------------------------
% 8.08/2.21 % (27330)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_26892 for (2989ds/4350Mi)
% 8.08/2.21 % (27315)Instruction limit reached!
% 8.08/2.21 % (27315)------------------------------
% 8.08/2.21 % (27315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.08/2.21 % (27315)Termination reason: Unknown
% 8.08/2.21 % (27315)Termination phase: Saturation
% 8.08/2.21
% 8.08/2.21 % (27315)Memory used [KB]: 7419
% 8.08/2.21 % (27315)Time elapsed: 0.293 s
% 8.08/2.21 % (27315)Instructions burned: 923 (million)
% 8.08/2.21 % (27315)------------------------------
% 8.08/2.21 % (27315)------------------------------
% 8.08/2.22 % (27331)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_26892 for (2989ds/68Mi)
% 8.08/2.24 % (27331)Instruction limit reached!
% 8.08/2.24 % (27331)------------------------------
% 8.08/2.24 % (27331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.08/2.24 % (27331)Termination reason: Unknown
% 8.08/2.24 % (27331)Termination phase: Saturation
% 8.08/2.24
% 8.08/2.24 % (27331)Memory used [KB]: 6012
% 8.08/2.24 % (27331)Time elapsed: 0.022 s
% 8.08/2.24 % (27331)Instructions burned: 68 (million)
% 8.08/2.24 % (27331)------------------------------
% 8.08/2.24 % (27331)------------------------------
% 8.08/2.25 % (27332)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_26892 for (2989ds/358Mi)
% 8.08/2.28 % (27320)Instruction limit reached!
% 8.08/2.28 % (27320)------------------------------
% 8.08/2.28 % (27320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.08/2.28 % (27320)Termination reason: Unknown
% 8.08/2.28 % (27320)Termination phase: Saturation
% 8.08/2.28
% 8.08/2.28 % (27320)Memory used [KB]: 6908
% 8.08/2.28 % (27320)Time elapsed: 0.315 s
% 8.08/2.28 % (27320)Instructions burned: 1021 (million)
% 8.08/2.28 % (27320)------------------------------
% 8.08/2.28 % (27320)------------------------------
% 8.08/2.29 % (27333)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_26892 for (2989ds/31Mi)
% 8.08/2.30 % (27333)Instruction limit reached!
% 8.08/2.30 % (27333)------------------------------
% 8.08/2.30 % (27333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.36/2.30 % (27333)Termination reason: Unknown
% 8.36/2.30 % (27333)Termination phase: Saturation
% 8.36/2.30
% 8.36/2.30 % (27333)Memory used [KB]: 5756
% 8.36/2.30 % (27333)Time elapsed: 0.011 s
% 8.36/2.30 % (27333)Instructions burned: 31 (million)
% 8.36/2.30 % (27333)------------------------------
% 8.36/2.30 % (27333)------------------------------
% 8.36/2.31 % (27334)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_26892 for (2988ds/279Mi)
% 8.36/2.31 % (27334)Refutation not found, incomplete strategy
% 8.36/2.31 % (27334)------------------------------
% 8.36/2.31 % (27334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.36/2.31 % (27334)Termination reason: Refutation not found, incomplete strategy
% 8.36/2.31
% 8.36/2.31
% 8.36/2.31 % (27334)Memory used [KB]: 5628
% 8.36/2.31 % (27334)Time elapsed: 0.004 s
% 8.36/2.31 % (27334)Instructions burned: 10 (million)
% 8.36/2.31 % (27334)------------------------------
% 8.36/2.31 % (27334)------------------------------
% 8.36/2.32 % (27335)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_26892 for (2988ds/258Mi)
% 8.36/2.36 % (27335)First to succeed.
% 8.36/2.36 % (27335)Refutation found. Thanks to Tanya!
% 8.36/2.36 % SZS status Theorem for DTF2THF_26892
% 8.36/2.36 % SZS output start Proof for DTF2THF_26892
% 8.36/2.36 thf(type_def_6, type, elem: $tType).
% 8.36/2.36 thf(type_def_7, type, nat: $tType).
% 8.36/2.36 thf(type_def_8, type, list: $tType).
% 8.36/2.36 thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 8.36/2.36 thf(func_def_2, type, elem: $tType).
% 8.36/2.36 thf(func_def_3, type, elemStar: elem > elem > $o).
% 8.36/2.36 thf(func_def_4, type, nat: $tType).
% 8.36/2.36 thf(func_def_5, type, natStar: nat > nat > $o).
% 8.36/2.36 thf(func_def_6, type, zero: nat).
% 8.36/2.36 thf(func_def_7, type, suc: nat > nat).
% 8.36/2.36 thf(func_def_8, type, plus: nat > nat > nat).
% 8.36/2.36 thf(func_def_9, type, list: $tType).
% 8.36/2.36 thf(func_def_10, type, listStar: nat > list > list > $o).
% 8.36/2.36 thf(func_def_11, type, nil: list).
% 8.36/2.36 thf(func_def_12, type, cons: nat > elem > list > list).
% 8.36/2.36 thf(func_def_13, type, app: nat > nat > list > list > list).
% 8.36/2.36 thf(func_def_14, type, rev: nat > list > list).
% 8.36/2.36 thf(func_def_17, type, sK0: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.36/2.36 thf(func_def_18, type, sK1: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.36/2.36 thf(func_def_19, type, sK2: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.36/2.36 thf(func_def_20, type, sK3: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.36/2.36 thf(func_def_21, type, sK4: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.36/2.36 thf(func_def_22, type, sK5: (nat > $o) > nat).
% 8.36/2.36 thf(func_def_23, type, sK6: nat).
% 8.36/2.36 thf(func_def_24, type, sK7: list).
% 8.36/2.36 thf(func_def_27, type, ph9: !>[X0: $tType]:(X0)).
% 8.36/2.36 thf(f593,plain,(
% 8.36/2.36 $false),
% 8.36/2.36 inference(subsumption_resolution,[status(thm)],[f592,f98])).
% 8.36/2.36 thf(f98,plain,(
% 8.36/2.36 ($true != (listStar @ sK6 @ (rev @ sK6 @ (rev @ sK6 @ sK7)) @ sK7))),
% 8.36/2.36 inference(cnf_transformation,[status(thm)],[f70])).
% 8.36/2.36 thf(f70,plain,(
% 8.36/2.36 ($true != (listStar @ sK6 @ (rev @ sK6 @ (rev @ sK6 @ sK7)) @ sK7)) & ($true = (listStar @ sK6 @ sK7 @ sK7)) & ($true = (listStar @ sK6 @ (rev @ sK6 @ (rev @ sK6 @ sK7)) @ (app @ zero @ sK6 @ nil @ sK7)))),
% 8.36/2.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f56,f69])).
% 8.36/2.36 thf(f69,plain,(
% 8.36/2.36 ? [X0 : nat,X1 : list] : (($true != (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ X1)) & ((listStar @ X0 @ X1 @ X1) = $true) & ($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1)))) => (($true != (listStar @ sK6 @ (rev @ sK6 @ (rev @ sK6 @ sK7)) @ sK7)) & ($true = (listStar @ sK6 @ sK7 @ sK7)) & ($true = (listStar @ sK6 @ (rev @ sK6 @ (rev @ sK6 @ sK7)) @ (app @ zero @ sK6 @ nil @ sK7))))),
% 8.36/2.36 introduced(definition,[],[choice_axiom])).
% 8.36/2.36 thf(f56,plain,(
% 8.36/2.36 ? [X0 : nat,X1 : list] : (($true != (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ X1)) & ((listStar @ X0 @ X1 @ X1) = $true) & ($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1))))),
% 8.36/2.36 inference(flattening,[status(thm)],[f55])).
% 8.36/2.36 thf(f55,plain,(
% 8.36/2.36 ? [X0 : nat,X1 : list] : ((($true != (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ X1)) & ($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1)))) & ((listStar @ X0 @ X1 @ X1) = $true))),
% 8.36/2.36 inference(ennf_transformation,[status(thm)],[f31])).
% 8.36/2.36 thf(f31,plain,(
% 8.36/2.36 ~! [X0 : nat,X1 : list] : (((listStar @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1))) => ($true = (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ X1))))),
% 8.36/2.36 inference(fool_elimination,[status(thm)],[f30])).
% 8.36/2.36 thf(f30,plain,(
% 8.36/2.36 ~! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => ((listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (app @ zero @ X0 @ nil @ X1)) => (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ X1)))),
% 8.36/2.36 inference(rectify,[status(thm)],[f18])).
% 8.36/2.36 thf(f18,negated_conjecture,(
% 8.36/2.36 ~! [X6 : nat,X13 : list] : ((listStar @ X6 @ X13 @ X13) => ((listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ (app @ zero @ X6 @ nil @ X13)) => (listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ X13)))),
% 8.36/2.36 inference(negated_conjecture,[status(cth)],[f17])).
% 8.36/2.36 thf(f17,conjecture,(
% 8.36/2.36 ! [X6 : nat,X13 : list] : ((listStar @ X6 @ X13 @ X13) => ((listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ (app @ zero @ X6 @ nil @ X13)) => (listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ X13)))),
% 8.36/2.36 file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p',list_rev_invol_step4)).
% 8.36/2.36 thf(f592,plain,(
% 8.36/2.36 ($true = (listStar @ sK6 @ (rev @ sK6 @ (rev @ sK6 @ sK7)) @ sK7))),
% 8.36/2.36 inference(trivial_inequality_removal,[status(thm)],[f590])).
% 8.36/2.36 thf(f590,plain,(
% 8.36/2.36 ($true = (listStar @ sK6 @ (rev @ sK6 @ (rev @ sK6 @ sK7)) @ sK7)) | ($true != $true)),
% 8.36/2.36 inference(superposition,[status(thm)],[f400,f96])).
% 8.36/2.36 thf(f96,plain,(
% 8.36/2.36 ($true = (listStar @ sK6 @ (rev @ sK6 @ (rev @ sK6 @ sK7)) @ (app @ zero @ sK6 @ nil @ sK7)))),
% 8.36/2.36 inference(cnf_transformation,[status(thm)],[f70])).
% 8.36/2.36 thf(f400,plain,(
% 8.36/2.36 ( ! [X0 : list] : (($true != (listStar @ sK6 @ X0 @ (app @ zero @ sK6 @ nil @ sK7))) | ($true = (listStar @ sK6 @ X0 @ sK7))) )),
% 8.36/2.36 inference(subsumption_resolution,[status(thm)],[f396,f73])).
% 8.36/2.36 thf(f73,plain,(
% 8.36/2.36 ( ! [X0 : nat] : (($true = (isPer @ list @ (listStar @ X0)))) )),
% 8.36/2.36 inference(cnf_transformation,[status(thm)],[f37])).
% 8.36/2.36 thf(f37,plain,(
% 8.36/2.36 ! [X0 : nat] : ($true = (isPer @ list @ (listStar @ X0)))),
% 8.36/2.36 inference(fool_elimination,[status(thm)],[f36])).
% 8.36/2.36 thf(f36,plain,(
% 8.36/2.36 ! [X0 : nat] : (isPer @ list @ (listStar @ X0))),
% 8.36/2.36 inference(rectify,[status(thm)],[f4])).
% 8.36/2.36 thf(f4,axiom,(
% 8.36/2.36 ! [X5 : nat] : (isPer @ list @ (listStar @ X5))),
% 8.36/2.36 file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p','\'listStar\'_is_per')).
% 8.36/2.36 thf(f396,plain,(
% 8.36/2.36 ( ! [X0 : list] : (((isPer @ list @ (listStar @ sK6)) != $true) | ($true != (listStar @ sK6 @ X0 @ (app @ zero @ sK6 @ nil @ sK7))) | ($true = (listStar @ sK6 @ X0 @ sK7))) )),
% 8.36/2.36 inference(trivial_inequality_removal,[status(thm)],[f394])).
% 8.36/2.36 thf(f394,plain,(
% 8.36/2.36 ( ! [X0 : list] : (((isPer @ list @ (listStar @ sK6)) != $true) | ($true != $true) | ($true = (listStar @ sK6 @ X0 @ sK7)) | ($true != (listStar @ sK6 @ X0 @ (app @ zero @ sK6 @ nil @ sK7)))) )),
% 8.36/2.36 inference(superposition,[status(thm)],[f86,f349])).
% 8.36/2.36 thf(f349,plain,(
% 8.36/2.36 ($true = (listStar @ sK6 @ (app @ zero @ sK6 @ nil @ sK7) @ sK7))),
% 8.36/2.36 inference(trivial_inequality_removal,[status(thm)],[f346])).
% 8.36/2.36 thf(f346,plain,(
% 8.36/2.36 ($true != $true) | ($true = (listStar @ sK6 @ (app @ zero @ sK6 @ nil @ sK7) @ sK7))),
% 8.36/2.36 inference(superposition,[status(thm)],[f102,f97])).
% 8.36/2.36 thf(f97,plain,(
% 8.36/2.36 ($true = (listStar @ sK6 @ sK7 @ sK7))),
% 8.36/2.36 inference(cnf_transformation,[status(thm)],[f70])).
% 8.36/2.36 thf(f102,plain,(
% 8.36/2.36 ( ! [X0 : nat,X1 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ X0 @ (app @ zero @ X0 @ nil @ X1) @ X1) = $true)) )),
% 8.36/2.36 inference(forward_demodulation,[status(thm)],[f89,f77])).
% 8.36/2.36 thf(f77,plain,(
% 8.36/2.36 ( ! [X0 : nat] : (((plus @ zero @ X0) = X0)) )),
% 8.36/2.36 inference(cnf_transformation,[status(thm)],[f45])).
% 8.36/2.36 thf(f45,plain,(
% 8.36/2.36 ! [X0 : nat] : ((plus @ zero @ X0) = X0)),
% 8.36/2.36 inference(rectify,[status(thm)],[f12])).
% 8.36/2.36 thf(f12,axiom,(
% 8.36/2.36 ! [X6 : nat] : ((plus @ zero @ X6) = X6)),
% 8.36/2.36 file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p',ax1)).
% 8.36/2.36 thf(f89,plain,(
% 8.36/2.36 ( ! [X0 : nat,X1 : list] : (($true = (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1)) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 8.36/2.36 inference(cnf_transformation,[status(thm)],[f50])).
% 8.36/2.36 thf(f50,plain,(
% 8.36/2.36 ! [X0 : nat,X1 : list] : (($true = (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1)) | ((listStar @ X0 @ X1 @ X1) != $true))),
% 8.36/2.36 inference(ennf_transformation,[status(thm)],[f21])).
% 8.36/2.36 thf(f21,plain,(
% 8.36/2.36 ! [X0 : nat,X1 : list] : (((listStar @ X0 @ X1 @ X1) = $true) => ($true = (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1)))),
% 8.36/2.36 inference(fool_elimination,[status(thm)],[f20])).
% 8.36/2.36 thf(f20,plain,(
% 8.36/2.36 ! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1))),
% 8.36/2.36 inference(rectify,[status(thm)],[f14])).
% 8.36/2.36 thf(f14,axiom,(
% 8.36/2.36 ! [X6 : nat,X2 : list] : ((listStar @ X6 @ X2 @ X2) => (listStar @ (plus @ zero @ X6) @ (app @ zero @ X6 @ nil @ X2) @ X2))),
% 8.36/2.36 file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p',ax3)).
% 8.36/2.36 thf(f86,plain,(
% 8.36/2.36 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o,X4 : X0] : (((X1 @ X3 @ X4) != $true) | ((isPer @ X0 @ X1) != $true) | ((X1 @ X2 @ X4) = $true) | ((X1 @ X2 @ X3) != $true)) )),
% 8.36/2.36 inference(cnf_transformation,[status(thm)],[f65])).
% 8.36/2.36 thf(f65,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true) | ((X1 @ X2 @ X3) != $true)) & ! [X5 : X0,X6 : X0] : (($true = (X1 @ X6 @ X5)) | ((X1 @ X5 @ X6) != $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | (($true = (X1 @ (sK1 @ X0 @ X1) @ (sK2 @ X0 @ X1))) & ($true != (X1 @ (sK0 @ X0 @ X1) @ (sK2 @ X0 @ X1))) & ($true = (X1 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1)))) | (($true != (X1 @ (sK4 @ X0 @ X1) @ (sK3 @ X0 @ X1))) & ((X1 @ (sK3 @ X0 @ X1) @ (sK4 @ X0 @ X1)) = $true))))),
% 8.36/2.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f62,f64,f63])).
% 8.36/2.36 thf(f63,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X7 : X0,X8 : X0,X9 : X0] : (($true = (X1 @ X8 @ X9)) & ($true != (X1 @ X7 @ X9)) & ((X1 @ X7 @ X8) = $true)) => (($true = (X1 @ (sK1 @ X0 @ X1) @ (sK2 @ X0 @ X1))) & ($true != (X1 @ (sK0 @ X0 @ X1) @ (sK2 @ X0 @ X1))) & ($true = (X1 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1)))))),
% 8.36/2.36 introduced(definition,[],[choice_axiom])).
% 8.36/2.36 thf(f64,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X10 : X0,X11 : X0] : (((X1 @ X11 @ X10) != $true) & ($true = (X1 @ X10 @ X11))) => (($true != (X1 @ (sK4 @ X0 @ X1) @ (sK3 @ X0 @ X1))) & ((X1 @ (sK3 @ X0 @ X1) @ (sK4 @ X0 @ X1)) = $true)))),
% 8.36/2.36 introduced(definition,[],[choice_axiom])).
% 8.36/2.36 thf(f62,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true) | ((X1 @ X2 @ X3) != $true)) & ! [X5 : X0,X6 : X0] : (($true = (X1 @ X6 @ X5)) | ((X1 @ X5 @ X6) != $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ? [X7 : X0,X8 : X0,X9 : X0] : (($true = (X1 @ X8 @ X9)) & ($true != (X1 @ X7 @ X9)) & ((X1 @ X7 @ X8) = $true)) | ? [X10 : X0,X11 : X0] : (((X1 @ X11 @ X10) != $true) & ($true = (X1 @ X10 @ X11)))))),
% 8.36/2.36 inference(rectify,[status(thm)],[f61])).
% 8.36/2.36 thf(f61,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X4 : X0,X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) != $true) | ((X1 @ X4 @ X6) = $true) | ($true != (X1 @ X4 @ X5))) & ! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ? [X4 : X0,X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) = $true) & ((X1 @ X4 @ X6) != $true) & ($true = (X1 @ X4 @ X5))) | ? [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) != $true) & ((X1 @ X2 @ X3) = $true))))),
% 8.36/2.36 inference(flattening,[status(thm)],[f60])).
% 8.36/2.36 thf(f60,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X4 : X0,X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) != $true) | ((X1 @ X4 @ X6) = $true) | ($true != (X1 @ X4 @ X5))) & ! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | (? [X4 : X0,X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) = $true) & ((X1 @ X4 @ X6) != $true) & ($true = (X1 @ X4 @ X5))) | ? [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) != $true) & ((X1 @ X2 @ X3) = $true)))))),
% 8.36/2.36 inference(nnf_transformation,[status(thm)],[f58])).
% 8.36/2.36 thf(f58,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X4 : X0,X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) != $true) | ((X1 @ X4 @ X6) = $true) | ($true != (X1 @ X4 @ X5))) & ! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true))) <=> ((isPer @ X0 @ X1) = $true))),
% 8.36/2.36 inference(flattening,[status(thm)],[f57])).
% 8.36/2.36 thf(f57,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) <=> (! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : ((((X1 @ X4 @ X6) = $true) | ((X1 @ X5 @ X6) != $true)) | ($true != (X1 @ X4 @ X5)))))),
% 8.36/2.36 inference(ennf_transformation,[status(thm)],[f27])).
% 8.36/2.36 thf(f27,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) <=> (! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) = $true) => ((X1 @ X3 @ X2) = $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X5)) => (((X1 @ X5 @ X6) = $true) => ((X1 @ X4 @ X6) = $true)))))),
% 8.36/2.36 inference(fool_elimination,[status(thm)],[f26])).
% 8.36/2.36 thf(f26,plain,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) <=> (! [X2 : X0,X3 : X0] : ((X1 @ X2 @ X3) => (X1 @ X3 @ X2)) & ! [X4 : X0,X5 : X0,X6 : X0] : ((X1 @ X4 @ X5) => ((X1 @ X5 @ X6) => (X1 @ X4 @ X6)))))),
% 8.36/2.36 inference(rectify,[status(thm)],[f1])).
% 8.36/2.36 thf(f1,axiom,(
% 8.36/2.36 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) <=> (! [X2 : X0,X3 : X0] : ((X1 @ X2 @ X3) => (X1 @ X3 @ X2)) & ! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4)))))),
% 8.36/2.36 file('/export/starexec/sandbox2/tmp/tmp.955lEjo8uk/DTF2THF_26892.p',is_per)).
% 8.36/2.36 % SZS output end Proof for DTF2THF_26892
% 8.36/2.36 % (27335)------------------------------
% 8.36/2.36 % (27335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.36/2.36 % (27335)Termination reason: Refutation
% 8.36/2.36
% 8.36/2.36 % (27335)Memory used [KB]: 6012
% 8.36/2.36 % (27335)Time elapsed: 0.065 s
% 8.36/2.36 % (27335)Instructions burned: 127 (million)
% 8.36/2.36 % (27335)------------------------------
% 8.36/2.36 % (27335)------------------------------
% 8.36/2.36 % (27045)Success in time 1.181 s
%------------------------------------------------------------------------------