%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT396^1 : 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 : n026.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 8.71s 2.54s
% Output : Refutation 8.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 337 ( 131 equ; 0 cnn)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 838 ( 66 ~; 43 |; 35 &; 667 @)
% ( 5 <=>; 22 =>; 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 : 144 ( 0 ^; 120 !; 24 ?; 144 :)
% 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 ).
thf(func_def_23,type,
sK6: list ).
thf(func_def_24,type,
sK7: ( nat > $o ) > nat ).
thf(func_def_27,type,
ph9:
!>[X0: $tType] : X0 ).
thf(f1031,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f1029,f103]) ).
thf(f103,plain,
( $true
= ( listStar @ sK5 @ sK6 @ sK6 ) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
thf(f81,plain,
( ( $true
!= ( listStar @ sK5 @ ( rev @ sK5 @ ( rev @ sK5 @ sK6 ) ) @ ( rev @ ( plus @ sK5 @ zero ) @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) ) ) )
& ( $true
= ( listStar @ sK5 @ sK6 @ sK6 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f68,f80]) ).
thf(f80,plain,
( ? [X0: nat,X1: list] :
( ( ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( rev @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ ( rev @ X0 @ X1 ) @ nil ) ) )
!= $true )
& ( ( listStar @ X0 @ X1 @ X1 )
= $true ) )
=> ( ( $true
!= ( listStar @ sK5 @ ( rev @ sK5 @ ( rev @ sK5 @ sK6 ) ) @ ( rev @ ( plus @ sK5 @ zero ) @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) ) ) )
& ( $true
= ( listStar @ sK5 @ sK6 @ sK6 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f68,plain,
? [X0: nat,X1: list] :
( ( ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( rev @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ ( rev @ X0 @ X1 ) @ nil ) ) )
!= $true )
& ( ( listStar @ X0 @ X1 @ X1 )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f51]) ).
thf(f51,plain,
~ ! [X0: nat,X1: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
= $true )
=> ( ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( rev @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ ( rev @ X0 @ X1 ) @ nil ) ) )
= $true ) ),
inference(fool_elimination,[status(thm)],[f50]) ).
thf(f50,plain,
~ ! [X0: nat,X1: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( listStar @ X0 @ ( rev @ X0 @ ( rev @ X0 @ X1 ) ) @ ( rev @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ ( rev @ X0 @ X1 ) @ nil ) ) ) ),
inference(rectify,[status(thm)],[f22]) ).
thf(f22,negated_conjecture,
~ ! [X6: nat,X13: list] :
( ( listStar @ X6 @ X13 @ X13 )
=> ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ ( rev @ ( plus @ X6 @ zero ) @ ( app @ X6 @ zero @ ( rev @ X6 @ X13 ) @ nil ) ) ) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
thf(f21,conjecture,
! [X6: nat,X13: list] :
( ( listStar @ X6 @ X13 @ X13 )
=> ( listStar @ X6 @ ( rev @ X6 @ ( rev @ X6 @ X13 ) ) @ ( rev @ ( plus @ X6 @ zero ) @ ( app @ X6 @ zero @ ( rev @ X6 @ X13 ) @ nil ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',list_rev_invol_step1) ).
thf(f1029,plain,
( $true
!= ( listStar @ sK5 @ sK6 @ sK6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1026]) ).
thf(f1026,plain,
( ( $true
!= ( listStar @ sK5 @ sK6 @ sK6 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f610,f99]) ).
thf(f99,plain,
! [X2: list,X0: nat,X1: list] :
( ( ( listStar @ X0 @ ( rev @ X0 @ X1 ) @ ( rev @ X0 @ X2 ) )
= $true )
| ( ( listStar @ X0 @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
thf(f71,plain,
! [X0: nat,X1: list,X2: list] :
( ( ( listStar @ X0 @ ( rev @ X0 @ X1 ) @ ( rev @ X0 @ X2 ) )
= $true )
| ( ( listStar @ X0 @ X1 @ X2 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f45]) ).
thf(f45,plain,
! [X0: nat,X1: list,X2: list] :
( ( ( listStar @ X0 @ X1 @ X2 )
= $true )
=> ( ( listStar @ X0 @ ( rev @ X0 @ X1 ) @ ( rev @ X0 @ X2 ) )
= $true ) ),
inference(fool_elimination,[status(thm)],[f44]) ).
thf(f44,plain,
! [X0: nat,X1: list,X2: list] :
( ( listStar @ X0 @ X1 @ X2 )
=> ( listStar @ X0 @ ( rev @ X0 @ X1 ) @ ( rev @ X0 @ X2 ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,axiom,
! [X6: nat,X7: list,X11: list] :
( ( listStar @ X6 @ X7 @ X11 )
=> ( listStar @ X6 @ ( rev @ X6 @ X7 ) @ ( rev @ X6 @ X11 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',rev_tp_ax) ).
thf(f610,plain,
( $true
!= ( listStar @ sK5 @ ( rev @ sK5 @ sK6 ) @ ( rev @ sK5 @ sK6 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f606]) ).
thf(f606,plain,
( ( $true != $true )
| ( $true
!= ( listStar @ sK5 @ ( rev @ sK5 @ sK6 ) @ ( rev @ sK5 @ sK6 ) ) ) ),
inference(superposition,[status(thm)],[f363,f129]) ).
thf(f129,plain,
! [X0: nat,X1: list] :
( ( ( listStar @ X0 @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 )
= $true )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(backward_demodulation,[status(thm)],[f88,f125]) ).
thf(f125,plain,
! [X0: nat] :
( ( plus @ X0 @ zero )
= X0 ),
inference(superposition,[status(thm)],[f113,f90]) ).
thf(f90,plain,
! [X0: nat] :
( ( plus @ zero @ X0 )
= X0 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
thf(f58,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.I4NuCdlccu/DTF2THF_9322.p',ax1) ).
thf(f113,plain,
! [X0: nat,X1: nat] :
( ( plus @ X0 @ X1 )
= ( plus @ X1 @ X0 ) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
thf(f54,plain,
! [X0: nat,X1: nat] :
( ( plus @ X0 @ X1 )
= ( plus @ X1 @ X0 ) ),
inference(rectify,[status(thm)],[f18]) ).
thf(f18,axiom,
! [X6: nat,X10: nat] :
( ( plus @ X6 @ X10 )
= ( plus @ X10 @ X6 ) ),
file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',plus_com) ).
thf(f88,plain,
! [X0: nat,X1: list] :
( ( ( listStar @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 )
= $true )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
thf(f70,plain,
! [X0: nat,X1: list] :
( ( ( listStar @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 )
= $true )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f29]) ).
thf(f29,plain,
! [X0: nat,X1: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
= $true )
=> ( ( listStar @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f28]) ).
thf(f28,plain,
! [X0: nat,X1: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( listStar @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 ) ),
inference(rectify,[status(thm)],[f20]) ).
thf(f20,axiom,
! [X6: nat,X13: list] :
( ( listStar @ X6 @ X13 @ X13 )
=> ( listStar @ ( plus @ X6 @ zero ) @ ( app @ X6 @ zero @ X13 @ nil ) @ X13 ) ),
file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',list_app_nil) ).
thf(f363,plain,
( $true
!= ( listStar @ sK5 @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) @ ( rev @ sK5 @ sK6 ) ) ),
inference(subsumption_resolution,[status(thm)],[f355,f102]) ).
thf(f102,plain,
! [X0: nat] :
( ( isPer @ list @ ( listStar @ X0 ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f25,plain,
! [X0: nat] :
( ( isPer @ list @ ( listStar @ X0 ) )
= $true ),
inference(fool_elimination,[status(thm)],[f24]) ).
thf(f24,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.I4NuCdlccu/DTF2THF_9322.p','\'listStar\'_is_per') ).
thf(f355,plain,
( ( $true
!= ( isPer @ list @ ( listStar @ sK5 ) ) )
| ( $true
!= ( listStar @ sK5 @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) @ ( rev @ sK5 @ sK6 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f338]) ).
thf(f338,plain,
( ( $true
!= ( isPer @ list @ ( listStar @ sK5 ) ) )
| ( $true != $true )
| ( $true
!= ( listStar @ sK5 @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) @ ( rev @ sK5 @ sK6 ) ) ) ),
inference(superposition,[status(thm)],[f138,f92]) ).
thf(f92,plain,
! [X0: $tType,X1: X0 > X0 > $o,X8: X0,X7: X0] :
( ( ( X1 @ X8 @ X7 )
= $true )
| ( $true
!= ( X1 @ X7 @ X8 ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
thf(f79,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ( isPer @ X0 @ X1 )
= $true )
| ( ( ( X1 @ ( sK1 @ X0 @ X1 ) @ ( sK0 @ X0 @ X1 ) )
!= $true )
& ( ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) )
= $true ) )
| ( ( ( X1 @ ( sK2 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) )
!= $true )
& ( ( X1 @ ( sK3 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) )
= $true )
& ( ( X1 @ ( sK2 @ X0 @ X1 ) @ ( sK3 @ X0 @ X1 ) )
= $true ) ) )
& ( ( ! [X7: X0,X8: X0] :
( ( ( X1 @ X8 @ X7 )
= $true )
| ( $true
!= ( X1 @ X7 @ X8 ) ) )
& ! [X9: X0,X10: X0,X11: X0] :
( ( $true
= ( X1 @ X9 @ X11 ) )
| ( ( X1 @ X10 @ X11 )
!= $true )
| ( ( X1 @ X9 @ X10 )
!= $true ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f76,f78,f77]) ).
thf(f77,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ? [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
!= $true )
& ( ( X1 @ X2 @ X3 )
= $true ) )
=> ( ( ( X1 @ ( sK1 @ X0 @ X1 ) @ ( sK0 @ X0 @ X1 ) )
!= $true )
& ( ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f78,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ? [X4: X0,X5: X0,X6: X0] :
( ( $true
!= ( X1 @ X4 @ X6 ) )
& ( $true
= ( X1 @ X5 @ X6 ) )
& ( $true
= ( X1 @ X4 @ X5 ) ) )
=> ( ( ( X1 @ ( sK2 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) )
!= $true )
& ( ( X1 @ ( sK3 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) )
= $true )
& ( ( X1 @ ( sK2 @ X0 @ X1 ) @ ( sK3 @ X0 @ X1 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f76,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] :
( ( $true
!= ( X1 @ X4 @ X6 ) )
& ( $true
= ( X1 @ X5 @ X6 ) )
& ( $true
= ( X1 @ X4 @ X5 ) ) ) )
& ( ( ! [X7: X0,X8: X0] :
( ( ( X1 @ X8 @ X7 )
= $true )
| ( $true
!= ( X1 @ X7 @ X8 ) ) )
& ! [X9: X0,X10: X0,X11: X0] :
( ( $true
= ( X1 @ X9 @ X11 ) )
| ( ( X1 @ X10 @ X11 )
!= $true )
| ( ( X1 @ X9 @ X10 )
!= $true ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) ) ),
inference(rectify,[status(thm)],[f75]) ).
thf(f75,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] :
( ( $true
!= ( X1 @ X4 @ X6 ) )
& ( $true
= ( X1 @ X5 @ X6 ) )
& ( $true
= ( X1 @ X4 @ X5 ) ) ) )
& ( ( ! [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) )
& ! [X4: X0,X5: X0,X6: X0] :
( ( $true
= ( X1 @ X4 @ X6 ) )
| ( $true
!= ( X1 @ X5 @ X6 ) )
| ( $true
!= ( X1 @ X4 @ X5 ) ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) ) ),
inference(flattening,[status(thm)],[f74]) ).
thf(f74,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] :
( ( $true
!= ( X1 @ X4 @ X6 ) )
& ( $true
= ( X1 @ X5 @ X6 ) )
& ( $true
= ( X1 @ X4 @ X5 ) ) ) )
& ( ( ! [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) )
& ! [X4: X0,X5: X0,X6: X0] :
( ( $true
= ( X1 @ X4 @ X6 ) )
| ( $true
!= ( X1 @ X5 @ X6 ) )
| ( $true
!= ( X1 @ X4 @ X5 ) ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) ) ),
inference(nnf_transformation,[status(thm)],[f67]) ).
thf(f67,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] :
( ( $true
= ( X1 @ X4 @ X6 ) )
| ( $true
!= ( X1 @ X5 @ X6 ) )
| ( $true
!= ( X1 @ X4 @ X5 ) ) ) ) ),
inference(flattening,[status(thm)],[f66]) ).
thf(f66,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ! [X4: X0,X5: X0,X6: X0] :
( ( $true
= ( X1 @ X4 @ X6 ) )
| ( $true
!= ( X1 @ X5 @ X6 ) )
| ( $true
!= ( X1 @ X4 @ X5 ) ) )
& ! [X2: X0,X3: X0] :
( ( ( X1 @ X3 @ X2 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true ) ) )
<=> ( ( isPer @ X0 @ X1 )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f33]) ).
thf(f33,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ! [X4: X0,X5: X0,X6: X0] :
( ( $true
= ( X1 @ X4 @ X5 ) )
=> ( ( $true
= ( X1 @ X5 @ X6 ) )
=> ( $true
= ( X1 @ X4 @ X6 ) ) ) )
& ! [X2: X0,X3: X0] :
( ( ( X1 @ X2 @ X3 )
= $true )
=> ( ( X1 @ X3 @ X2 )
= $true ) ) )
<=> ( ( isPer @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f32]) ).
thf(f32,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ! [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 ) ) ) )
<=> ( isPer @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ! [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 ) ) ) )
<=> ( isPer @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',is_per) ).
thf(f138,plain,
( ( listStar @ sK5 @ ( rev @ sK5 @ sK6 ) @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) )
!= $true ),
inference(trivial_inequality_removal,[status(thm)],[f137]) ).
thf(f137,plain,
( ( $true != $true )
| ( ( listStar @ sK5 @ ( rev @ sK5 @ sK6 ) @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) )
!= $true ) ),
inference(superposition,[status(thm)],[f124,f99]) ).
thf(f124,plain,
( ( listStar @ sK5 @ ( rev @ sK5 @ ( rev @ sK5 @ sK6 ) ) @ ( rev @ sK5 @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) ) )
!= $true ),
inference(backward_demodulation,[status(thm)],[f121,f90]) ).
thf(f121,plain,
( ( listStar @ sK5 @ ( rev @ sK5 @ ( rev @ sK5 @ sK6 ) ) @ ( rev @ ( plus @ zero @ sK5 ) @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) ) )
!= $true ),
inference(backward_demodulation,[status(thm)],[f104,f113]) ).
thf(f104,plain,
( $true
!= ( listStar @ sK5 @ ( rev @ sK5 @ ( rev @ sK5 @ sK6 ) ) @ ( rev @ ( plus @ sK5 @ zero ) @ ( app @ sK5 @ zero @ ( rev @ sK5 @ sK6 ) @ nil ) ) ) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT396^1 : TPTP v9.2.1. Released v9.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n026.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 06:17:55 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.28/0.45 ---- Original DTF file ---
% 0.28/0.45 thf(spec,logic,$$dhol).
% 0.28/0.45 %------------------------------------------------------------------------------
% 0.28/0.45 % File : DAT396^1 : TPTP v9.2.1. Released v9.2.0.
% 0.28/0.45 % Domain : Data Structures
% 0.28/0.45 % Problem : List reversal involution, step 1
% 0.28/0.45 % Version : Especial.
% 0.28/0.45 % English : List reversal involution. The proof is split into smaller steps.
% 0.28/0.45 % To simplify proof search, the axioms in each problem file have
% 0.28/0.45 % been preselected.
% 0.28/0.45
% 0.28/0.45 % Refs : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.28/0.45 % : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.28/0.45 % : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.28/0.45 % Source : [Rot25]
% 0.28/0.45 % Names : ListReversalInvolution/list-rev-invol-step1.p [Rot25]
% 0.28/0.45
% 0.28/0.45 % Status : Theorem
% 0.28/0.45 % Rating : ? v9.2.0
% 0.28/0.45 % Syntax : Number of formulae : 23 ( 11 unt; 10 typ; 0 def)
% 0.28/0.45 % Number of atoms : 13 ( 13 equ; 0 cnn)
% 0.28/0.45 % Maximal formula atoms : 2 ( 1 avg)
% 0.28/0.45 % Number of connectives : 105 ( 3 ~; 0 |; 0 &; 98 @)
% 0.28/0.45 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.28/0.45 % Maximal formula depth : 8 ( 4 avg)
% 0.28/0.45 % Number of types : 3 ( 2 usr)
% 0.28/0.45 % Number of type decls : 10 ( 0 !>P; 3 !>D)
% 0.28/0.45 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.28/0.45 % Number of symbols : 9 ( 8 usr; 2 con; 0-4 aty)
% 0.28/0.45 % Number of variables : 30 ( 0 ^; 26 !; 0 ?; 30 :)
% 0.28/0.45 % ( 4 !>; 0 ?*; 0 @-; 0 @+)
% 0.28/0.45 % SPC : DH0_THM_EQU_NAR
% 0.28/0.45
% 0.28/0.45 % Comments :
% 0.28/0.45 %------------------------------------------------------------------------------
% 0.28/0.45 thf(elem_type,type,
% 0.28/0.45 elem: $tType ).
% 0.28/0.45
% 0.28/0.45 thf(nat_type,type,
% 0.28/0.45 nat: $tType ).
% 0.28/0.45
% 0.28/0.45 thf(zero_type,type,
% 0.28/0.45 zero: nat ).
% 0.28/0.45
% 0.28/0.45 thf(suc_type,type,
% 0.28/0.45 suc: nat > nat ).
% 0.28/0.45
% 0.28/0.45 thf(plus_type,type,
% 0.28/0.45 plus: nat > nat > nat ).
% 0.28/0.45
% 0.28/0.45 thf(list_type,type,
% 0.28/0.45 list: nat > $tType ).
% 0.28/0.45
% 0.28/0.45 thf(nil_type,type,
% 0.28/0.45 nil: list @ zero ).
% 0.28/0.45
% 0.28/0.45 thf(cons_type,type,
% 0.28/0.45 cons:
% 0.28/0.45 !>[N: nat] : ( elem > ( list @ N ) > ( list @ ( suc @ N ) ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(app_type,type,
% 0.28/0.45 app:
% 0.28/0.45 !>[N: nat,M: nat] : ( ( list @ N ) > ( list @ M ) > ( list @ ( plus @ N @ M ) ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(rev_type,type,
% 0.28/0.45 rev:
% 0.28/0.45 !>[N: nat] : ( ( list @ N ) > ( list @ N ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(peano1,axiom,
% 0.28/0.45 ! [N: nat] :
% 0.28/0.45 ( ( suc @ N )
% 0.28/0.45 != zero ) ).
% 0.28/0.45
% 0.28/0.45 thf(peano2,axiom,
% 0.28/0.45 ! [N: nat,M: nat] :
% 0.28/0.45 ( ( N != M )
% 0.28/0.45 => ( ( suc @ N )
% 0.28/0.45 != ( suc @ M ) ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(peano3,axiom,
% 0.28/0.45 ! [P: nat > $o] :
% 0.28/0.45 ( ( P @ zero )
% 0.28/0.45 => ( ! [M: nat] :
% 0.28/0.45 ( ( P @ M )
% 0.28/0.45 => ( P @ ( suc @ M ) ) )
% 0.28/0.45 => ! [N: nat] : ( P @ N ) ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(ax1,axiom,
% 0.28/0.45 ! [N: nat] :
% 0.28/0.45 ( ( plus @ zero @ N )
% 0.28/0.45 = N ) ).
% 0.28/0.45
% 0.28/0.45 thf(ax2,axiom,
% 0.28/0.45 ! [N: nat,M: nat] :
% 0.28/0.45 ( ( plus @ ( suc @ N ) @ M )
% 0.28/0.45 = ( suc @ ( plus @ N @ M ) ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(ax3,axiom,
% 0.28/0.45 ! [N: nat,X: list @ N] :
% 0.28/0.45 ( ( app @ zero @ N @ nil @ X )
% 0.28/0.45 = X ) ).
% 0.28/0.45
% 0.28/0.45 thf(ax4,axiom,
% 0.28/0.45 ! [N: nat,M: nat,X: elem,Y: list @ N,Z: list @ M] :
% 0.28/0.45 ( ( app @ ( suc @ N ) @ M @ ( cons @ N @ X @ Y ) @ Z )
% 0.28/0.45 = ( cons @ ( plus @ N @ M ) @ X @ ( app @ N @ M @ Y @ Z ) ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(ax5,axiom,
% 0.28/0.45 ( ( rev @ zero @ nil )
% 0.28/0.45 = nil ) ).
% 0.28/0.45
% 0.28/0.45 thf(ax6,axiom,
% 0.28/0.45 ! [N: nat,X: elem,Y: list @ N] :
% 0.28/0.45 ( ( rev @ ( suc @ N ) @ ( cons @ N @ X @ Y ) )
% 0.28/0.45 = ( app @ N @ ( suc @ zero ) @ ( rev @ N @ Y ) @ ( cons @ zero @ X @ nil ) ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(plus_com,axiom,
% 0.28/0.45 ! [N: nat,M: nat] :
% 0.28/0.45 ( ( plus @ N @ M )
% 0.28/0.45 = ( plus @ M @ N ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(plus1r,axiom,
% 0.28/0.45 ! [N: nat] :
% 0.28/0.45 ( ( suc @ N )
% 0.28/0.45 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 0.28/0.45
% 0.28/0.45 thf(list_app_nil,axiom,
% 0.28/0.45 ! [N: nat,L: list @ N] :
% 0.28/0.45 ( ( app @ N @ zero @ L @ nil )
% 0.28/0.45 = L ) ).
% 0.28/0.45
% 0.28/0.45 thf(list_rev_invol_step1,conjecture,
% 0.28/0.45 ! [N: nat,L: list @ N] :
% 0.28/0.45 ( ( rev @ N @ ( rev @ N @ L ) )
% 0.28/0.45 = ( rev @ ( plus @ N @ zero ) @ ( app @ N @ zero @ ( rev @ N @ L ) @ nil ) ) ) ).
% 0.28/0.45
% 0.28/0.45 %------------------------------------------------------------------------------
% 0.28/0.45 ------------------------
% 1.69/1.39 ---- Embedded in THF ---
% 1.69/1.39 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.69/1.39 %%% Generated on Tue Feb 24 06:17:56 EST 2026
% 1.69/1.39 %%% using '$$dhol' embedding, version 1.3.0.
% 1.69/1.39 %%% Logic specification used:
% 1.69/1.39 %%% thf(spec, logic, $$dhol).
% 1.69/1.39
% 1.69/1.39 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2DTF9322.p
% See solution above
% 1.69/1.39 ------------------------
% 1.91/1.40 ---- Cleaned THF ---
% 1.91/1.41 thf(is_per_type,type,
% 1.91/1.41 isPer:
% 1.91/1.41 !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.91/1.41
% 1.91/1.41 thf(is_per,definition,
% 1.91/1.41 ! [A: $tType,AStar: A > A > $o] :
% 1.91/1.41 ( ( isPer @ A @ AStar )
% 1.91/1.41 <=> ( ! [X: A,Y: A] :
% 1.91/1.41 ( ( AStar @ X @ Y )
% 1.91/1.41 => ( AStar @ Y @ X ) )
% 1.91/1.41 & ! [X: A,Y: A,Z: A] :
% 1.91/1.41 ( ( AStar @ X @ Y )
% 1.91/1.41 => ( ( AStar @ Y @ Z )
% 1.91/1.41 => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(elem_type,type,
% 1.91/1.41 elem: $tType ).
% 1.91/1.41
% 1.91/1.41 thf(elemStar,type,
% 1.91/1.41 elemStar: elem > elem > $o ).
% 1.91/1.41
% 1.91/1.41 thf(elemStar_is_eq,axiom,
% 1.91/1.41 ! [X: elem,Y: elem] :
% 1.91/1.41 ( ( elemStar @ X @ Y )
% 1.91/1.41 <=> ( X = Y ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(nat_type,type,
% 1.91/1.41 nat: $tType ).
% 1.91/1.41
% 1.91/1.41 thf(natStar,type,
% 1.91/1.41 natStar: nat > nat > $o ).
% 1.91/1.41
% 1.91/1.41 thf(natStar_is_eq,axiom,
% 1.91/1.41 ! [X: nat,Y: nat] :
% 1.91/1.41 ( ( natStar @ X @ Y )
% 1.91/1.41 <=> ( X = Y ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(zero_type,type,
% 1.91/1.41 zero: nat ).
% 1.91/1.41
% 1.91/1.41 thf(suc_type,type,
% 1.91/1.41 suc: nat > nat ).
% 1.91/1.41
% 1.91/1.41 thf(plus_type,type,
% 1.91/1.41 plus: nat > nat > nat ).
% 1.91/1.41
% 1.91/1.41 thf(list_type,type,
% 1.91/1.41 list: $tType ).
% 1.91/1.41
% 1.91/1.41 thf(listStar,type,
% 1.91/1.41 listStar: nat > list > list > $o ).
% 1.91/1.41
% 1.91/1.41 thf('\'listStar\'_is_per',axiom,
% 1.91/1.41 ! [C: nat] : ( isPer @ list @ ( listStar @ C ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(nil_type,type,
% 1.91/1.41 nil: list ).
% 1.91/1.41
% 1.91/1.41 thf(nil_tp_ax,axiom,
% 1.91/1.41 listStar @ zero @ nil @ nil ).
% 1.91/1.41
% 1.91/1.41 thf(cons_type,type,
% 1.91/1.41 cons: nat > elem > list > list ).
% 1.91/1.41
% 1.91/1.41 thf(cons_tp_ax,axiom,
% 1.91/1.41 ! [N: nat,D: elem,D0: list,D0_prime: list] :
% 1.91/1.41 ( ( listStar @ N @ D0 @ D0_prime )
% 1.91/1.41 => ( listStar @ ( suc @ N ) @ ( cons @ N @ D @ D0 ) @ ( cons @ N @ D @ D0_prime ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(app_type,type,
% 1.91/1.41 app: nat > nat > list > list > list ).
% 1.91/1.41
% 1.91/1.41 thf(app_tp_ax,axiom,
% 1.91/1.41 ! [N: nat,M: nat,D: list,D_prime: list] :
% 1.91/1.41 ( ( listStar @ N @ D @ D_prime )
% 1.91/1.41 => ! [D0: list,D0_prime: list] :
% 1.91/1.41 ( ( listStar @ M @ D0 @ D0_prime )
% 1.91/1.41 => ( listStar @ ( plus @ N @ M ) @ ( app @ N @ M @ D @ D0 ) @ ( app @ N @ M @ D_prime @ D0_prime ) ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(rev_type,type,
% 1.91/1.41 rev: nat > list > list ).
% 1.91/1.41
% 1.91/1.41 thf(rev_tp_ax,axiom,
% 1.91/1.41 ! [N: nat,D: list,D_prime: list] :
% 1.91/1.41 ( ( listStar @ N @ D @ D_prime )
% 1.91/1.41 => ( listStar @ N @ ( rev @ N @ D ) @ ( rev @ N @ D_prime ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(peano1,axiom,
% 1.91/1.41 ! [N: nat] :
% 1.91/1.41 ( ( suc @ N )
% 1.91/1.41 != zero ) ).
% 1.91/1.41
% 1.91/1.41 thf(peano2,axiom,
% 1.91/1.41 ! [N: nat,M: nat] :
% 1.91/1.41 ( ( N != M )
% 1.91/1.41 => ( ( suc @ N )
% 1.91/1.41 != ( suc @ M ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(peano3,axiom,
% 1.91/1.41 ! [P: nat > $o] :
% 1.91/1.41 ( ( P @ zero )
% 1.91/1.41 => ( ! [M: nat] :
% 1.91/1.41 ( ( P @ M )
% 1.91/1.41 => ( P @ ( suc @ M ) ) )
% 1.91/1.41 => ! [N: nat] : ( P @ N ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(ax1,axiom,
% 1.91/1.41 ! [N: nat] :
% 1.91/1.41 ( ( plus @ zero @ N )
% 1.91/1.41 = N ) ).
% 1.91/1.41
% 1.91/1.41 thf(ax2,axiom,
% 1.91/1.41 ! [N: nat,M: nat] :
% 1.91/1.41 ( ( plus @ ( suc @ N ) @ M )
% 1.91/1.41 = ( suc @ ( plus @ N @ M ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(ax3,axiom,
% 1.91/1.41 ! [N: nat,X: list] :
% 1.91/1.41 ( ( listStar @ N @ X @ X )
% 1.91/1.41 => ( listStar @ ( plus @ zero @ N ) @ ( app @ zero @ N @ nil @ X ) @ X ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(ax4,axiom,
% 1.91/1.41 ! [N: nat,M: nat,X: elem,Y: list,Z: list] :
% 1.91/1.41 ( ( listStar @ N @ Y @ Y )
% 1.91/1.41 => ( ( listStar @ M @ Z @ Z )
% 1.91/1.41 => ( listStar @ ( plus @ ( suc @ N ) @ M ) @ ( app @ ( suc @ N ) @ M @ ( cons @ N @ X @ Y ) @ Z ) @ ( cons @ ( plus @ N @ M ) @ X @ ( app @ N @ M @ Y @ Z ) ) ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(ax5,axiom,
% 1.91/1.41 listStar @ zero @ ( rev @ zero @ nil ) @ nil ).
% 1.91/1.41
% 1.91/1.41 thf(ax6,axiom,
% 1.91/1.41 ! [N: nat,X: elem,Y: list] :
% 1.91/1.41 ( ( listStar @ N @ Y @ Y )
% 1.91/1.41 => ( listStar @ ( suc @ N ) @ ( rev @ ( suc @ N ) @ ( cons @ N @ X @ Y ) ) @ ( app @ N @ ( suc @ zero ) @ ( rev @ N @ Y ) @ ( cons @ zero @ X @ nil ) ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(plus_com,axiom,
% 1.91/1.41 ! [N: nat,M: nat] :
% 1.91/1.41 ( ( plus @ N @ M )
% 1.91/1.41 = ( plus @ M @ N ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(plus1r,axiom,
% 1.91/1.41 ! [N: nat] :
% 1.91/1.41 ( ( suc @ N )
% 1.91/1.41 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(list_app_nil,axiom,
% 1.91/1.41 ! [N: nat,L: list] :
% 1.91/1.41 ( ( listStar @ N @ L @ L )
% 1.91/1.41 => ( listStar @ ( plus @ N @ zero ) @ ( app @ N @ zero @ L @ nil ) @ L ) ) ).
% 1.91/1.41
% 1.91/1.41 thf(list_rev_invol_step1,conjecture,
% 1.91/1.41 ! [N: nat,L: list] :
% 1.91/1.41 ( ( listStar @ N @ L @ L )
% 1.91/1.41 => ( listStar @ N @ ( rev @ N @ ( rev @ N @ L ) ) @ ( rev @ ( plus @ N @ zero ) @ ( app @ N @ zero @ ( rev @ N @ L ) @ nil ) ) ) ) ).
% 1.91/1.41 ------------------------
% 1.91/1.43 % (9507)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/183Mi)
% 1.91/1.43 % (9511)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_9322 for (2999ds/2Mi)
% 1.91/1.43 % (9512)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_9322 for (2999ds/275Mi)
% 1.91/1.43 % (9509)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_9322 for (2999ds/27Mi)
% 1.91/1.43 % (9510)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/2Mi)
% 1.91/1.43 % (9511)Instruction limit reached!
% 1.91/1.43 % (9511)------------------------------
% 1.91/1.43 % (9511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.43 % (9508)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_9322 for (2999ds/4Mi)
% 1.91/1.43 % (9511)Termination reason: Unknown
% 1.91/1.43 % (9511)Termination phase: shuffling
% 1.91/1.43
% 1.91/1.43 % (9511)Memory used [KB]: 1023
% 1.91/1.43 % (9513)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/18Mi)
% 1.91/1.43 % (9511)Time elapsed: 0.003 s
% 1.91/1.43 % (9511)Instructions burned: 4 (million)
% 1.91/1.43 % (9511)------------------------------
% 1.91/1.43 % (9511)------------------------------
% 1.91/1.43 % (9510)Instruction limit reached!
% 1.91/1.43 % (9510)------------------------------
% 1.91/1.43 % (9510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.43 % (9510)Termination reason: Unknown
% 1.91/1.43 % (9510)Termination phase: shuffling
% 1.91/1.43
% 1.91/1.43 % (9510)Memory used [KB]: 1023
% 1.91/1.43 % (9510)Time elapsed: 0.003 s
% 1.91/1.43 % (9510)Instructions burned: 2 (million)
% 1.91/1.43 % (9510)------------------------------
% 1.91/1.43 % (9510)------------------------------
% 1.91/1.43 % (9508)Instruction limit reached!
% 1.91/1.43 % (9508)------------------------------
% 1.91/1.43 % (9508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.43 % (9508)Termination reason: Unknown
% 1.91/1.43 % (9508)Termination phase: shuffling
% 1.91/1.43
% 1.91/1.43 % (9508)Memory used [KB]: 1023
% 1.91/1.43 % (9508)Time elapsed: 0.004 s
% 1.91/1.43 % (9508)Instructions burned: 4 (million)
% 1.91/1.43 % (9508)------------------------------
% 1.91/1.43 % (9508)------------------------------
% 1.91/1.43 % (9512)Refutation not found, incomplete strategy
% 1.91/1.43 % (9512)------------------------------
% 1.91/1.43 % (9512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.43 % (9512)Termination reason: Refutation not found, incomplete strategy
% 1.91/1.43
% 1.91/1.43
% 1.91/1.43 % (9512)Memory used [KB]: 5500
% 1.91/1.43 % (9512)Time elapsed: 0.005 s
% 1.91/1.43 % (9512)Instructions burned: 7 (million)
% 1.91/1.43 % (9512)------------------------------
% 1.91/1.43 % (9512)------------------------------
% 1.91/1.44 % (9513)Instruction limit reached!
% 1.91/1.44 % (9513)------------------------------
% 1.91/1.44 % (9513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.44 % (9513)Termination reason: Unknown
% 1.91/1.44 % (9513)Termination phase: Saturation
% 1.91/1.44
% 1.91/1.44 % (9513)Memory used [KB]: 5628
% 1.91/1.44 % (9513)Time elapsed: 0.012 s
% 1.91/1.44 % (9513)Instructions burned: 19 (million)
% 1.91/1.44 % (9513)------------------------------
% 1.91/1.44 % (9513)------------------------------
% 1.91/1.44 % (9509)Instruction limit reached!
% 1.91/1.44 % (9509)------------------------------
% 1.91/1.44 % (9509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.44 % (9509)Termination reason: Unknown
% 1.91/1.44 % (9509)Termination phase: Saturation
% 1.91/1.44
% 1.91/1.44 % (9509)Memory used [KB]: 5628
% 1.91/1.44 % (9509)Time elapsed: 0.018 s
% 1.91/1.44 % (9509)Instructions burned: 28 (million)
% 1.91/1.44 % (9509)------------------------------
% 1.91/1.44 % (9509)------------------------------
% 1.91/1.45 % (9517)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_9322 for (2999ds/37Mi)
% 1.91/1.45 % (9519)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_9322 for (2999ds/3Mi)
% 1.91/1.45 % (9518)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_9322 for (2999ds/15Mi)
% 1.91/1.45 % (9519)Instruction limit reached!
% 1.91/1.45 % (9519)------------------------------
% 1.91/1.45 % (9519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.45 % (9519)Termination reason: Unknown
% 1.91/1.45 % (9519)Termination phase: Property scanning
% 1.91/1.45
% 1.91/1.45 % (9519)Memory used [KB]: 1023
% 1.91/1.45 % (9519)Time elapsed: 0.003 s
% 1.91/1.45 % (9519)Instructions burned: 4 (million)
% 1.91/1.45 % (9519)------------------------------
% 1.91/1.45 % (9519)------------------------------
% 1.91/1.46 % (9518)Instruction limit reached!
% 1.91/1.46 % (9518)------------------------------
% 1.91/1.46 % (9518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.46 % (9518)Termination reason: Unknown
% 1.91/1.46 % (9518)Termination phase: Saturation
% 1.91/1.46
% 1.91/1.46 % (9518)Memory used [KB]: 5756
% 1.91/1.46 % (9518)Time elapsed: 0.010 s
% 1.91/1.46 % (9518)Instructions burned: 15 (million)
% 1.91/1.46 % (9518)------------------------------
% 1.91/1.46 % (9518)------------------------------
% 1.91/1.46 % (9520)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_9322 for (2999ds/1041Mi)
% 1.91/1.46 % (9516)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/3Mi)
% 1.91/1.46 % (9516)Instruction limit reached!
% 1.91/1.46 % (9516)------------------------------
% 1.91/1.46 % (9516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.46 % (9516)Termination reason: Unknown
% 1.91/1.46 % (9516)Termination phase: shuffling
% 1.91/1.46
% 1.91/1.46 % (9516)Memory used [KB]: 1023
% 1.91/1.46 % (9516)Time elapsed: 0.005 s
% 1.91/1.46 % (9516)Instructions burned: 3 (million)
% 1.91/1.46 % (9516)------------------------------
% 1.91/1.46 % (9516)------------------------------
% 1.91/1.46 % (9522)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/16Mi)
% 1.91/1.47 % (9521)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/7Mi)
% 1.91/1.47 % (9517)Instruction limit reached!
% 1.91/1.47 % (9517)------------------------------
% 1.91/1.47 % (9517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.47 % (9517)Termination reason: Unknown
% 1.91/1.47 % (9517)Termination phase: Saturation
% 1.91/1.47
% 1.91/1.47 % (9517)Memory used [KB]: 5884
% 1.91/1.47 % (9517)Time elapsed: 0.022 s
% 1.91/1.47 % (9517)Instructions burned: 38 (million)
% 1.91/1.47 % (9517)------------------------------
% 1.91/1.47 % (9517)------------------------------
% 1.91/1.47 % (9521)Instruction limit reached!
% 1.91/1.47 % (9521)------------------------------
% 1.91/1.47 % (9521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.47 % (9521)Termination reason: Unknown
% 1.91/1.47 % (9521)Termination phase: Property scanning
% 1.91/1.47
% 1.91/1.47 % (9521)Memory used [KB]: 1023
% 1.91/1.47 % (9521)Time elapsed: 0.005 s
% 1.91/1.47 % (9521)Instructions burned: 8 (million)
% 1.91/1.47 % (9521)------------------------------
% 1.91/1.47 % (9521)------------------------------
% 1.91/1.47 % (9523)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_9322 for (2999ds/3Mi)
% 1.91/1.47 % (9522)Instruction limit reached!
% 1.91/1.47 % (9522)------------------------------
% 1.91/1.47 % (9522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.47 % (9522)Termination reason: Unknown
% 1.91/1.47 % (9522)Termination phase: Saturation
% 1.91/1.47
% 1.91/1.47 % (9522)Memory used [KB]: 5628
% 1.91/1.47 % (9522)Time elapsed: 0.010 s
% 1.91/1.47 % (9522)Instructions burned: 17 (million)
% 1.91/1.47 % (9522)------------------------------
% 1.91/1.47 % (9522)------------------------------
% 1.91/1.47 % (9523)Instruction limit reached!
% 1.91/1.47 % (9523)------------------------------
% 1.91/1.47 % (9523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.47 % (9523)Termination reason: Unknown
% 1.91/1.47 % (9523)Termination phase: shuffling
% 1.91/1.47
% 1.91/1.47 % (9523)Memory used [KB]: 1023
% 1.91/1.47 % (9523)Time elapsed: 0.003 s
% 1.91/1.47 % (9523)Instructions burned: 3 (million)
% 1.91/1.47 % (9523)------------------------------
% 1.91/1.47 % (9523)------------------------------
% 1.91/1.48 % (9524)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_9322 for (2999ds/3Mi)
% 1.91/1.48 % (9524)Instruction limit reached!
% 1.91/1.48 % (9524)------------------------------
% 1.91/1.48 % (9524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.48 % (9524)Termination reason: Unknown
% 1.91/1.48 % (9524)Termination phase: shuffling
% 1.91/1.48
% 1.91/1.48 % (9524)Memory used [KB]: 1023
% 1.91/1.48 % (9524)Time elapsed: 0.003 s
% 1.91/1.48 % (9524)Instructions burned: 4 (million)
% 1.91/1.48 % (9524)------------------------------
% 1.91/1.48 % (9524)------------------------------
% 1.91/1.48 % (9525)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/7Mi)
% 1.91/1.49 % (9526)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/3Mi)
% 1.91/1.49 % (9526)Instruction limit reached!
% 1.91/1.49 % (9526)------------------------------
% 1.91/1.49 % (9526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.49 % (9526)Termination reason: Unknown
% 1.91/1.49 % (9526)Termination phase: shuffling
% 1.91/1.49
% 1.91/1.49 % (9526)Memory used [KB]: 1023
% 1.91/1.49 % (9526)Time elapsed: 0.003 s
% 1.91/1.49 % (9526)Instructions burned: 4 (million)
% 1.91/1.49 % (9526)------------------------------
% 1.91/1.49 % (9526)------------------------------
% 1.91/1.49 % (9525)Instruction limit reached!
% 1.91/1.49 % (9525)------------------------------
% 1.91/1.49 % (9525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.49 % (9525)Termination reason: Unknown
% 1.91/1.49 % (9525)Termination phase: Saturation
% 1.91/1.49
% 1.91/1.49 % (9525)Memory used [KB]: 5500
% 1.91/1.49 % (9525)Time elapsed: 0.006 s
% 1.91/1.49 % (9525)Instructions burned: 8 (million)
% 1.91/1.49 % (9525)------------------------------
% 1.91/1.49 % (9525)------------------------------
% 1.91/1.49 % (9527)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/4Mi)
% 1.91/1.49 % (9530)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/710Mi)
% 1.91/1.49 % (9527)Instruction limit reached!
% 1.91/1.49 % (9527)------------------------------
% 1.91/1.49 % (9527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.91/1.49 % (9527)Termination reason: Unknown
% 1.91/1.49 % (9527)Termination phase: Property scanning
% 1.91/1.49
% 1.91/1.49 % (9527)Memory used [KB]: 1023
% 1.91/1.49 % (9527)Time elapsed: 0.003 s
% 1.91/1.49 % (9527)Instructions burned: 4 (million)
% 1.91/1.49 % (9527)------------------------------
% 1.91/1.49 % (9527)------------------------------
% 1.91/1.49 % (9528)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/18Mi)
% 1.93/1.50 % (9528)Instruction limit reached!
% 1.93/1.50 % (9528)------------------------------
% 1.93/1.50 % (9528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.50 % (9528)Termination reason: Unknown
% 1.93/1.50 % (9528)Termination phase: Saturation
% 1.93/1.50
% 1.93/1.50 % (9528)Memory used [KB]: 5628
% 1.93/1.50 % (9528)Time elapsed: 0.012 s
% 1.93/1.50 % (9528)Instructions burned: 19 (million)
% 1.93/1.50 % (9528)------------------------------
% 1.93/1.50 % (9528)------------------------------
% 1.93/1.50 % (9531)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/6Mi)
% 1.93/1.51 % (9531)Instruction limit reached!
% 1.93/1.51 % (9531)------------------------------
% 1.93/1.51 % (9531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.51 % (9531)Termination reason: Unknown
% 1.93/1.51 % (9531)Termination phase: Property scanning
% 1.93/1.51
% 1.93/1.51 % (9531)Memory used [KB]: 1023
% 1.93/1.51 % (9531)Time elapsed: 0.004 s
% 1.93/1.51 % (9531)Instructions burned: 6 (million)
% 1.93/1.51 % (9531)------------------------------
% 1.93/1.51 % (9531)------------------------------
% 1.93/1.51 % (9532)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_9322 for (2999ds/902Mi)
% 1.93/1.51 % (9533)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_9322 for (2999ds/21Mi)
% 1.93/1.52 % (9534)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/5Mi)
% 1.93/1.52 % (9533)Instruction limit reached!
% 1.93/1.52 % (9533)------------------------------
% 1.93/1.52 % (9533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.52 % (9533)Termination reason: Unknown
% 1.93/1.52 % (9533)Termination phase: Saturation
% 1.93/1.52
% 1.93/1.52 % (9533)Memory used [KB]: 5628
% 1.93/1.52 % (9533)Time elapsed: 0.013 s
% 1.93/1.52 % (9533)Instructions burned: 22 (million)
% 1.93/1.52 % (9533)------------------------------
% 1.93/1.52 % (9533)------------------------------
% 1.93/1.52 % (9534)Instruction limit reached!
% 1.93/1.52 % (9534)------------------------------
% 1.93/1.52 % (9534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.52 % (9534)Termination reason: Unknown
% 1.93/1.52 % (9534)Termination phase: Property scanning
% 1.93/1.52
% 1.93/1.52 % (9534)Memory used [KB]: 1023
% 1.93/1.52 % (9534)Time elapsed: 0.004 s
% 1.93/1.52 % (9534)Instructions burned: 5 (million)
% 1.93/1.52 % (9534)------------------------------
% 1.93/1.52 % (9534)------------------------------
% 1.93/1.52 % (9535)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_9322 for (2999ds/6Mi)
% 1.93/1.52 % (9535)Instruction limit reached!
% 1.93/1.52 % (9535)------------------------------
% 1.93/1.52 % (9535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.52 % (9535)Termination reason: Unknown
% 1.93/1.52 % (9535)Termination phase: SInE selection
% 1.93/1.52
% 1.93/1.52 % (9535)Memory used [KB]: 1023
% 1.93/1.52 % (9535)Time elapsed: 0.004 s
% 1.93/1.52 % (9535)Instructions burned: 6 (million)
% 1.93/1.52 % (9535)------------------------------
% 1.93/1.52 % (9535)------------------------------
% 1.93/1.53 % (9537)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_9322 for (2999ds/377Mi)
% 1.93/1.54 % (9538)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_9322 for (2999ds/779Mi)
% 1.93/1.54 % (9539)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_9322 for (2999ds/19Mi)
% 1.93/1.54 % (9507)Instruction limit reached!
% 1.93/1.54 % (9507)------------------------------
% 1.93/1.54 % (9507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.54 % (9507)Termination reason: Unknown
% 1.93/1.54 % (9507)Termination phase: Saturation
% 1.93/1.54
% 1.93/1.54 % (9507)Memory used [KB]: 6396
% 1.93/1.54 % (9507)Time elapsed: 0.118 s
% 1.93/1.54 % (9507)Instructions burned: 184 (million)
% 1.93/1.54 % (9507)------------------------------
% 1.93/1.54 % (9507)------------------------------
% 1.93/1.55 % (9539)Instruction limit reached!
% 1.93/1.55 % (9539)------------------------------
% 1.93/1.55 % (9539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.55 % (9539)Termination reason: Unknown
% 1.93/1.55 % (9539)Termination phase: Saturation
% 1.93/1.55
% 1.93/1.55 % (9539)Memory used [KB]: 5756
% 1.93/1.55 % (9539)Time elapsed: 0.011 s
% 1.93/1.55 % (9539)Instructions burned: 19 (million)
% 1.93/1.55 % (9539)------------------------------
% 1.93/1.55 % (9539)------------------------------
% 1.93/1.55 % (9540)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_9322 for (2998ds/879Mi)
% 1.93/1.57 % (9541)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_9322 for (2998ds/17Mi)
% 1.93/1.57 % (9541)Instruction limit reached!
% 1.93/1.57 % (9541)------------------------------
% 1.93/1.57 % (9541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.57 % (9541)Termination reason: Unknown
% 1.93/1.57 % (9541)Termination phase: Saturation
% 1.93/1.57
% 1.93/1.57 % (9541)Memory used [KB]: 5756
% 1.93/1.57 % (9541)Time elapsed: 0.011 s
% 1.93/1.57 % (9541)Instructions burned: 18 (million)
% 1.93/1.57 % (9541)------------------------------
% 1.93/1.57 % (9541)------------------------------
% 1.93/1.59 % (9542)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_9322 for (2998ds/3Mi)
% 1.93/1.59 % (9542)Instruction limit reached!
% 1.93/1.59 % (9542)------------------------------
% 1.93/1.59 % (9542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.59 % (9542)Termination reason: Unknown
% 1.93/1.59 % (9542)Termination phase: Property scanning
% 1.93/1.59
% 1.93/1.59 % (9542)Memory used [KB]: 1023
% 1.93/1.59 % (9542)Time elapsed: 0.003 s
% 1.93/1.59 % (9542)Instructions burned: 3 (million)
% 1.93/1.59 % (9542)------------------------------
% 1.93/1.59 % (9542)------------------------------
% 1.93/1.61 % (9545)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_9322 for (2998ds/30Mi)
% 1.93/1.62 % (9545)Instruction limit reached!
% 1.93/1.62 % (9545)------------------------------
% 1.93/1.62 % (9545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.62 % (9545)Termination reason: Unknown
% 1.93/1.62 % (9545)Termination phase: Saturation
% 1.93/1.62
% 1.93/1.62 % (9545)Memory used [KB]: 5756
% 1.93/1.62 % (9545)Time elapsed: 0.017 s
% 1.93/1.62 % (9545)Instructions burned: 30 (million)
% 1.93/1.62 % (9545)------------------------------
% 1.93/1.62 % (9545)------------------------------
% 1.93/1.65 % (9548)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_9322 for (2997ds/127Mi)
% 1.93/1.70 % (9548)Instruction limit reached!
% 1.93/1.70 % (9548)------------------------------
% 1.93/1.70 % (9548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.70 % (9548)Termination reason: Unknown
% 1.93/1.70 % (9548)Termination phase: Saturation
% 1.93/1.70
% 1.93/1.70 % (9548)Memory used [KB]: 6012
% 1.93/1.70 % (9548)Time elapsed: 0.069 s
% 1.93/1.70 % (9548)Instructions burned: 127 (million)
% 1.93/1.70 % (9548)------------------------------
% 1.93/1.70 % (9548)------------------------------
% 1.93/1.71 % (9537)Instruction limit reached!
% 1.93/1.71 % (9537)------------------------------
% 1.93/1.71 % (9537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.71 % (9537)Termination reason: Unknown
% 1.93/1.71 % (9537)Termination phase: Saturation
% 1.93/1.71
% 1.93/1.71 % (9537)Memory used [KB]: 6140
% 1.93/1.71 % (9537)Time elapsed: 0.188 s
% 1.93/1.71 % (9537)Instructions burned: 379 (million)
% 1.93/1.71 % (9537)------------------------------
% 1.93/1.71 % (9537)------------------------------
% 1.93/1.71 % (9554)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_9322 for (2997ds/100Mi)
% 1.93/1.72 % (9556)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_9322 for (2997ds/3Mi)
% 1.93/1.72 % (9556)Instruction limit reached!
% 1.93/1.72 % (9556)------------------------------
% 1.93/1.72 % (9556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.72 % (9556)Termination reason: Unknown
% 1.93/1.72 % (9556)Termination phase: shuffling
% 1.93/1.72
% 1.93/1.72 % (9556)Memory used [KB]: 1023
% 1.93/1.72 % (9556)Time elapsed: 0.002 s
% 1.93/1.72 % (9556)Instructions burned: 3 (million)
% 1.93/1.72 % (9556)------------------------------
% 1.93/1.72 % (9556)------------------------------
% 1.93/1.73 % (9558)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_9322 for (2996ds/20Mi)
% 1.93/1.74 % (9554)Instruction limit reached!
% 1.93/1.74 % (9554)------------------------------
% 1.93/1.74 % (9554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.74 % (9554)Termination reason: Unknown
% 1.93/1.74 % (9554)Termination phase: Saturation
% 1.93/1.74
% 1.93/1.74 % (9554)Memory used [KB]: 6140
% 1.93/1.74 % (9554)Time elapsed: 0.033 s
% 1.93/1.74 % (9554)Instructions burned: 101 (million)
% 1.93/1.74 % (9554)------------------------------
% 1.93/1.74 % (9554)------------------------------
% 1.93/1.74 % (9558)Instruction limit reached!
% 1.93/1.74 % (9558)------------------------------
% 1.93/1.74 % (9558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.74 % (9558)Termination reason: Unknown
% 1.93/1.74 % (9558)Termination phase: Saturation
% 1.93/1.74
% 1.93/1.74 % (9558)Memory used [KB]: 5628
% 1.93/1.74 % (9558)Time elapsed: 0.012 s
% 1.93/1.74 % (9558)Instructions burned: 20 (million)
% 1.93/1.74 % (9558)------------------------------
% 1.93/1.74 % (9558)------------------------------
% 1.93/1.75 % (9559)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_9322 for (2996ds/86Mi)
% 1.93/1.76 % (9560)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_9322 for (2996ds/107Mi)
% 1.93/1.79 % (9559)Instruction limit reached!
% 1.93/1.79 % (9559)------------------------------
% 1.93/1.79 % (9559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.79 % (9559)Termination reason: Unknown
% 1.93/1.79 % (9559)Termination phase: Saturation
% 1.93/1.79
% 1.93/1.79 % (9559)Memory used [KB]: 6268
% 1.93/1.79 % (9559)Time elapsed: 0.039 s
% 1.93/1.79 % (9559)Instructions burned: 87 (million)
% 1.93/1.79 % (9559)------------------------------
% 1.93/1.79 % (9559)------------------------------
% 1.93/1.80 % (9560)Instruction limit reached!
% 1.93/1.80 % (9560)------------------------------
% 1.93/1.80 % (9560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.80 % (9560)Termination reason: Unknown
% 1.93/1.80 % (9560)Termination phase: Saturation
% 1.93/1.80
% 1.93/1.80 % (9560)Memory used [KB]: 5884
% 1.93/1.80 % (9560)Time elapsed: 0.039 s
% 1.93/1.80 % (9560)Instructions burned: 108 (million)
% 1.93/1.80 % (9560)------------------------------
% 1.93/1.80 % (9560)------------------------------
% 1.93/1.80 % (9566)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_9322 for (2996ds/39Mi)
% 1.93/1.82 % (9567)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_9322 for (2996ds/448Mi)
% 1.93/1.82 % (9566)Instruction limit reached!
% 1.93/1.82 % (9566)------------------------------
% 1.93/1.82 % (9566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.82 % (9566)Termination reason: Unknown
% 1.93/1.82 % (9566)Termination phase: Saturation
% 1.93/1.82
% 1.93/1.82 % (9566)Memory used [KB]: 5756
% 1.93/1.82 % (9566)Time elapsed: 0.015 s
% 1.93/1.82 % (9566)Instructions burned: 40 (million)
% 1.93/1.82 % (9566)------------------------------
% 1.93/1.82 % (9566)------------------------------
% 1.93/1.84 % (9530)Instruction limit reached!
% 1.93/1.84 % (9530)------------------------------
% 1.93/1.84 % (9530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.84 % (9530)Termination reason: Unknown
% 1.93/1.84 % (9530)Termination phase: Saturation
% 1.93/1.84
% 1.93/1.84 % (9530)Memory used [KB]: 7291
% 1.93/1.84 % (9530)Time elapsed: 0.353 s
% 1.93/1.84 % (9530)Instructions burned: 711 (million)
% 1.93/1.84 % (9530)------------------------------
% 1.93/1.84 % (9530)------------------------------
% 1.93/1.85 % (9571)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_9322 for (2995ds/46Mi)
% 1.93/1.86 % (9572)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_9322 for (2995ds/98Mi)
% 1.93/1.88 % (9571)Instruction limit reached!
% 1.93/1.88 % (9571)------------------------------
% 1.93/1.88 % (9571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.88 % (9571)Termination reason: Unknown
% 1.93/1.88 % (9571)Termination phase: Saturation
% 1.93/1.88
% 1.93/1.88 % (9571)Memory used [KB]: 5884
% 1.93/1.88 % (9571)Time elapsed: 0.052 s
% 1.93/1.88 % (9571)Instructions burned: 47 (million)
% 1.93/1.88 % (9571)------------------------------
% 1.93/1.88 % (9571)------------------------------
% 1.93/1.90 % (9538)Instruction limit reached!
% 1.93/1.90 % (9538)------------------------------
% 1.93/1.90 % (9538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.90 % (9538)Termination reason: Unknown
% 1.93/1.90 % (9538)Termination phase: Saturation
% 1.93/1.90
% 1.93/1.90 % (9538)Memory used [KB]: 6908
% 1.93/1.90 % (9538)Time elapsed: 0.361 s
% 1.93/1.90 % (9538)Instructions burned: 780 (million)
% 1.93/1.90 % (9538)------------------------------
% 1.93/1.90 % (9538)------------------------------
% 1.93/1.90 % (9572)Instruction limit reached!
% 1.93/1.90 % (9572)------------------------------
% 1.93/1.90 % (9572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.90 % (9572)Termination reason: Unknown
% 1.93/1.90 % (9572)Termination phase: Saturation
% 1.93/1.90
% 1.93/1.90 % (9572)Memory used [KB]: 1407
% 1.93/1.90 % (9572)Time elapsed: 0.057 s
% 1.93/1.90 % (9572)Instructions burned: 98 (million)
% 1.93/1.90 % (9572)------------------------------
% 1.93/1.90 % (9572)------------------------------
% 1.93/1.90 % (9577)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_9322 for (2995ds/507Mi)
% 1.93/1.91 % (9578)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_9322 for (2995ds/149Mi)
% 1.93/1.91 % (9579)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_9322 for (2995ds/39Mi)
% 1.93/1.93 % (9520)Instruction limit reached!
% 1.93/1.93 % (9520)------------------------------
% 1.93/1.93 % (9520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.93 % (9520)Termination reason: Unknown
% 1.93/1.93 % (9520)Termination phase: Saturation
% 1.93/1.93
% 1.93/1.93 % (9520)Memory used [KB]: 7675
% 1.93/1.93 % (9520)Time elapsed: 0.485 s
% 1.93/1.93 % (9520)Instructions burned: 1041 (million)
% 1.93/1.93 % (9520)------------------------------
% 1.93/1.93 % (9520)------------------------------
% 1.93/1.93 % (9579)Instruction limit reached!
% 1.93/1.93 % (9579)------------------------------
% 1.93/1.93 % (9579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.93 % (9579)Termination reason: Unknown
% 1.93/1.93 % (9579)Termination phase: Saturation
% 1.93/1.93
% 1.93/1.93 % (9579)Memory used [KB]: 5756
% 1.93/1.93 % (9579)Time elapsed: 0.022 s
% 1.93/1.93 % (9579)Instructions burned: 40 (million)
% 1.93/1.93 % (9579)------------------------------
% 1.93/1.93 % (9579)------------------------------
% 1.93/1.95 % (9585)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_9322 for (2994ds/6Mi)
% 1.93/1.95 % (9586)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_9322 for (2994ds/1087Mi)
% 1.93/1.95 % (9585)Instruction limit reached!
% 1.93/1.95 % (9585)------------------------------
% 1.93/1.95 % (9585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.95 % (9585)Termination reason: Unknown
% 1.93/1.95 % (9585)Termination phase: Property scanning
% 1.93/1.95
% 1.93/1.95 % (9585)Memory used [KB]: 1023
% 1.93/1.95 % (9585)Time elapsed: 0.004 s
% 1.93/1.95 % (9585)Instructions burned: 6 (million)
% 1.93/1.95 % (9585)------------------------------
% 1.93/1.95 % (9585)------------------------------
% 1.93/1.95 % (9532)Instruction limit reached!
% 1.93/1.95 % (9532)------------------------------
% 1.93/1.95 % (9532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.95 % (9532)Termination reason: Unknown
% 1.93/1.95 % (9532)Termination phase: Saturation
% 1.93/1.95
% 1.93/1.95 % (9532)Memory used [KB]: 6780
% 1.93/1.95 % (9532)Time elapsed: 0.450 s
% 1.93/1.95 % (9532)Instructions burned: 903 (million)
% 1.93/1.95 % (9532)------------------------------
% 1.93/1.95 % (9532)------------------------------
% 1.93/1.97 % (9588)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_9322 for (2994ds/47Mi)
% 1.93/1.97 % (9589)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_9322 for (2994ds/44Mi)
% 1.93/1.98 % (9578)Instruction limit reached!
% 1.93/1.98 % (9578)------------------------------
% 1.93/1.98 % (9578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.98 % (9578)Termination reason: Unknown
% 1.93/1.98 % (9578)Termination phase: Saturation
% 1.93/1.98
% 1.93/1.98 % (9578)Memory used [KB]: 6140
% 1.93/1.98 % (9578)Time elapsed: 0.069 s
% 1.93/1.98 % (9578)Instructions burned: 150 (million)
% 1.93/1.98 % (9578)------------------------------
% 1.93/1.98 % (9578)------------------------------
% 1.93/1.99 % (9588)Instruction limit reached!
% 1.93/1.99 % (9588)------------------------------
% 1.93/1.99 % (9588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.99 % (9588)Termination reason: Unknown
% 1.93/1.99 % (9588)Termination phase: Saturation
% 1.93/1.99
% 1.93/1.99 % (9588)Memory used [KB]: 5756
% 1.93/1.99 % (9588)Time elapsed: 0.025 s
% 1.93/1.99 % (9588)Instructions burned: 48 (million)
% 1.93/1.99 % (9588)------------------------------
% 1.93/1.99 % (9588)------------------------------
% 1.93/1.99 % (9589)Instruction limit reached!
% 1.93/1.99 % (9589)------------------------------
% 1.93/1.99 % (9589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/1.99 % (9589)Termination reason: Unknown
% 1.93/1.99 % (9589)Termination phase: Saturation
% 1.93/1.99
% 1.93/1.99 % (9589)Memory used [KB]: 1407
% 1.93/1.99 % (9589)Time elapsed: 0.023 s
% 1.93/1.99 % (9589)Instructions burned: 44 (million)
% 1.93/1.99 % (9589)------------------------------
% 1.93/1.99 % (9589)------------------------------
% 1.93/1.99 % (9591)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_9322 for (2994ds/432Mi)
% 1.93/2.01 % (9592)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_9322 for (2994ds/62Mi)
% 1.93/2.01 % (9593)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_9322 for (2994ds/31Mi)
% 1.93/2.01 % (9540)Instruction limit reached!
% 1.93/2.01 % (9540)------------------------------
% 1.93/2.01 % (9540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/2.01 % (9540)Termination reason: Unknown
% 1.93/2.02 % (9540)Termination phase: Saturation
% 1.93/2.02
% 1.93/2.02 % (9540)Memory used [KB]: 7931
% 1.93/2.02 % (9540)Time elapsed: 0.485 s
% 1.93/2.02 % (9540)Instructions burned: 880 (million)
% 1.93/2.02 % (9540)------------------------------
% 1.93/2.02 % (9540)------------------------------
% 1.93/2.02 % (9593)Instruction limit reached!
% 1.93/2.02 % (9593)------------------------------
% 1.93/2.02 % (9593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/2.02 % (9593)Termination reason: Unknown
% 1.93/2.02 % (9593)Termination phase: Saturation
% 1.93/2.02
% 1.93/2.02 % (9593)Memory used [KB]: 5756
% 1.93/2.02 % (9593)Time elapsed: 0.011 s
% 1.93/2.02 % (9593)Instructions burned: 31 (million)
% 1.93/2.02 % (9593)------------------------------
% 1.93/2.02 % (9593)------------------------------
% 1.93/2.02 % (9567)Instruction limit reached!
% 1.93/2.02 % (9567)------------------------------
% 1.93/2.02 % (9567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.93/2.02 % (9567)Termination reason: Unknown
% 1.93/2.02 % (9567)Termination phase: Saturation
% 1.93/2.02
% 1.93/2.02 % (9567)Memory used [KB]: 6780
% 1.93/2.02 % (9567)Time elapsed: 0.226 s
% 1.93/2.02 % (9567)Instructions burned: 449 (million)
% 1.93/2.02 % (9567)------------------------------
% 1.93/2.02 % (9567)------------------------------
% 5.95/2.03 % (9597)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_9322 for (2994ds/453Mi)
% 5.95/2.03 % (9596)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_9322 for (2994ds/96Mi)
% 5.95/2.04 % (9592)Instruction limit reached!
% 5.95/2.04 % (9592)------------------------------
% 5.95/2.04 % (9592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.04 % (9592)Termination reason: Unknown
% 5.95/2.04 % (9592)Termination phase: Saturation
% 5.95/2.04
% 5.95/2.04 % (9592)Memory used [KB]: 5884
% 5.95/2.04 % (9592)Time elapsed: 0.033 s
% 5.95/2.04 % (9592)Instructions burned: 62 (million)
% 5.95/2.04 % (9592)------------------------------
% 5.95/2.04 % (9592)------------------------------
% 5.95/2.04 % (9598)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_9322 for (2993ds/71Mi)
% 5.95/2.05 % (9600)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_9322 for (2993ds/83Mi)
% 5.95/2.07 % (9600)Refutation not found, incomplete strategy
% 5.95/2.07 % (9600)------------------------------
% 5.95/2.07 % (9600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.07 % (9600)Termination reason: Refutation not found, incomplete strategy
% 5.95/2.07
% 5.95/2.07
% 5.95/2.07 % (9600)Memory used [KB]: 5628
% 5.95/2.07 % (9600)Time elapsed: 0.013 s
% 5.95/2.07 % (9600)Instructions burned: 23 (million)
% 5.95/2.07 % (9600)------------------------------
% 5.95/2.07 % (9600)------------------------------
% 5.95/2.08 % (9598)Instruction limit reached!
% 5.95/2.08 % (9598)------------------------------
% 5.95/2.08 % (9598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.08 % (9598)Termination reason: Unknown
% 5.95/2.08 % (9598)Termination phase: Saturation
% 5.95/2.08
% 5.95/2.08 % (9598)Memory used [KB]: 5884
% 5.95/2.08 % (9598)Time elapsed: 0.059 s
% 5.95/2.08 % (9598)Instructions burned: 72 (million)
% 5.95/2.08 % (9598)------------------------------
% 5.95/2.08 % (9598)------------------------------
% 5.95/2.08 % (9596)Instruction limit reached!
% 5.95/2.08 % (9596)------------------------------
% 5.95/2.08 % (9596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.08 % (9596)Termination reason: Unknown
% 5.95/2.08 % (9596)Termination phase: Saturation
% 5.95/2.08
% 5.95/2.08 % (9596)Memory used [KB]: 5884
% 5.95/2.08 % (9596)Time elapsed: 0.049 s
% 5.95/2.08 % (9596)Instructions burned: 97 (million)
% 5.95/2.08 % (9596)------------------------------
% 5.95/2.08 % (9596)------------------------------
% 5.95/2.08 % (9602)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_9322 for (2993ds/11Mi)
% 5.95/2.09 % (9602)Instruction limit reached!
% 5.95/2.09 % (9602)------------------------------
% 5.95/2.09 % (9602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.09 % (9602)Termination reason: Unknown
% 5.95/2.09 % (9602)Termination phase: Saturation
% 5.95/2.09
% 5.95/2.09 % (9602)Memory used [KB]: 5500
% 5.95/2.09 % (9602)Time elapsed: 0.006 s
% 5.95/2.09 % (9602)Instructions burned: 11 (million)
% 5.95/2.09 % (9602)------------------------------
% 5.95/2.09 % (9602)------------------------------
% 5.95/2.09 % (9577)Instruction limit reached!
% 5.95/2.09 % (9577)------------------------------
% 5.95/2.09 % (9577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.09 % (9577)Termination reason: Unknown
% 5.95/2.09 % (9577)Termination phase: Saturation
% 5.95/2.09
% 5.95/2.09 % (9577)Memory used [KB]: 6268
% 5.95/2.09 % (9577)Time elapsed: 0.211 s
% 5.95/2.09 % (9577)Instructions burned: 508 (million)
% 5.95/2.09 % (9577)------------------------------
% 5.95/2.09 % (9577)------------------------------
% 5.95/2.09 % (9605)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_9322 for (2993ds/6Mi)
% 5.95/2.10 % (9605)Instruction limit reached!
% 5.95/2.10 % (9605)------------------------------
% 5.95/2.10 % (9605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.10 % (9605)Termination reason: Unknown
% 5.95/2.10 % (9605)Termination phase: Property scanning
% 5.95/2.10
% 5.95/2.10 % (9605)Memory used [KB]: 1023
% 5.95/2.10 % (9605)Time elapsed: 0.003 s
% 5.95/2.10 % (9605)Instructions burned: 7 (million)
% 5.95/2.10 % (9605)------------------------------
% 5.95/2.10 % (9605)------------------------------
% 5.95/2.10 % (9604)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_9322 for (2993ds/41Mi)
% 5.95/2.10 % (9606)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_9322 for (2993ds/150Mi)
% 5.95/2.10 % (9607)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_9322 for (2993ds/343Mi)
% 5.95/2.10 % (9610)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_9322 for (2993ds/109Mi)
% 5.95/2.12 % (9604)Instruction limit reached!
% 5.95/2.12 % (9604)------------------------------
% 5.95/2.12 % (9604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.12 % (9604)Termination reason: Unknown
% 5.95/2.12 % (9604)Termination phase: Saturation
% 5.95/2.12
% 5.95/2.12 % (9604)Memory used [KB]: 5884
% 5.95/2.12 % (9604)Time elapsed: 0.047 s
% 5.95/2.12 % (9604)Instructions burned: 42 (million)
% 5.95/2.12 % (9604)------------------------------
% 5.95/2.12 % (9604)------------------------------
% 6.47/2.14 % (9612)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_9322 for (2993ds/253Mi)
% 6.47/2.16 % (9610)Instruction limit reached!
% 6.47/2.16 % (9610)------------------------------
% 6.47/2.16 % (9610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.47/2.16 % (9610)Termination reason: Unknown
% 6.47/2.16 % (9610)Termination phase: Saturation
% 6.47/2.16
% 6.47/2.16 % (9610)Memory used [KB]: 6012
% 6.47/2.16 % (9610)Time elapsed: 0.055 s
% 6.47/2.16 % (9610)Instructions burned: 109 (million)
% 6.47/2.16 % (9610)------------------------------
% 6.47/2.16 % (9610)------------------------------
% 6.47/2.17 % (9606)Instruction limit reached!
% 6.47/2.17 % (9606)------------------------------
% 6.47/2.17 % (9606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.47/2.17 % (9606)Termination reason: Unknown
% 6.47/2.17 % (9606)Termination phase: Saturation
% 6.47/2.17
% 6.47/2.17 % (9606)Memory used [KB]: 6268
% 6.47/2.17 % (9606)Time elapsed: 0.073 s
% 6.47/2.17 % (9606)Instructions burned: 151 (million)
% 6.47/2.17 % (9606)------------------------------
% 6.47/2.17 % (9606)------------------------------
% 6.47/2.18 % (9613)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_9322 for (2992ds/140Mi)
% 6.47/2.18 % (9614)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_9322 for (2992ds/614Mi)
% 6.47/2.19 % (9591)Instruction limit reached!
% 6.47/2.19 % (9591)------------------------------
% 6.47/2.19 % (9591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.47/2.19 % (9591)Termination reason: Unknown
% 6.47/2.19 % (9591)Termination phase: Saturation
% 6.47/2.19
% 6.47/2.19 % (9591)Memory used [KB]: 4093
% 6.47/2.19 % (9591)Time elapsed: 0.199 s
% 6.47/2.19 % (9591)Instructions burned: 433 (million)
% 6.47/2.19 % (9591)------------------------------
% 6.47/2.19 % (9591)------------------------------
% 6.76/2.21 % (9616)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_9322 for (2992ds/202Mi)
% 6.76/2.21 % (9616)Refutation not found, incomplete strategy
% 6.76/2.21 % (9616)------------------------------
% 6.76/2.21 % (9616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/2.21 % (9616)Termination reason: Refutation not found, incomplete strategy
% 6.76/2.21
% 6.76/2.21
% 6.76/2.21 % (9616)Memory used [KB]: 5628
% 6.76/2.21 % (9616)Time elapsed: 0.007 s
% 6.76/2.21 % (9616)Instructions burned: 11 (million)
% 6.76/2.21 % (9616)------------------------------
% 6.76/2.21 % (9616)------------------------------
% 6.76/2.23 % (9619)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_9322 for (2992ds/339Mi)
% 6.76/2.23 % (9597)Instruction limit reached!
% 6.76/2.23 % (9597)------------------------------
% 6.76/2.23 % (9597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/2.23 % (9597)Termination reason: Unknown
% 6.76/2.23 % (9597)Termination phase: Saturation
% 6.76/2.23
% 6.76/2.23 % (9597)Memory used [KB]: 6140
% 6.76/2.23 % (9597)Time elapsed: 0.204 s
% 6.76/2.23 % (9597)Instructions burned: 453 (million)
% 6.76/2.23 % (9597)------------------------------
% 6.76/2.23 % (9597)------------------------------
% 6.76/2.25 % (9613)Instruction limit reached!
% 6.76/2.25 % (9613)------------------------------
% 6.76/2.25 % (9613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/2.25 % (9613)Termination reason: Unknown
% 6.76/2.25 % (9613)Termination phase: Saturation
% 6.76/2.25
% 6.76/2.25 % (9613)Memory used [KB]: 6268
% 6.76/2.25 % (9613)Time elapsed: 0.093 s
% 6.76/2.25 % (9613)Instructions burned: 141 (million)
% 6.76/2.25 % (9613)------------------------------
% 6.76/2.25 % (9613)------------------------------
% 6.76/2.25 % (9621)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_9322 for (2991ds/283Mi)
% 6.76/2.26 % (9607)Instruction limit reached!
% 6.76/2.26 % (9607)------------------------------
% 6.76/2.26 % (9607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/2.26 % (9607)Termination reason: Unknown
% 6.76/2.26 % (9607)Termination phase: Saturation
% 6.76/2.26
% 6.76/2.26 % (9607)Memory used [KB]: 6524
% 6.76/2.26 % (9607)Time elapsed: 0.153 s
% 6.76/2.26 % (9607)Instructions burned: 344 (million)
% 6.76/2.26 % (9607)------------------------------
% 6.76/2.26 % (9607)------------------------------
% 6.76/2.26 % (9612)Instruction limit reached!
% 6.76/2.26 % (9612)------------------------------
% 6.76/2.26 % (9612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/2.26 % (9612)Termination reason: Unknown
% 6.76/2.26 % (9612)Termination phase: Saturation
% 6.76/2.26
% 6.76/2.26 % (9612)Memory used [KB]: 6268
% 6.76/2.26 % (9612)Time elapsed: 0.122 s
% 6.76/2.26 % (9612)Instructions burned: 254 (million)
% 6.76/2.26 % (9612)------------------------------
% 6.76/2.26 % (9612)------------------------------
% 6.76/2.26 % (9625)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_9322 for (2991ds/134Mi)
% 6.76/2.26 % (9626)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_9322 for (2991ds/298Mi)
% 6.76/2.29 % (9627)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_9322 for (2991ds/192Mi)
% 7.49/2.31 % (9625)Instruction limit reached!
% 7.49/2.31 % (9625)------------------------------
% 7.49/2.31 % (9625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.31 % (9625)Termination reason: Unknown
% 7.49/2.31 % (9625)Termination phase: Saturation
% 7.49/2.31
% 7.49/2.31 % (9625)Memory used [KB]: 6268
% 7.49/2.31 % (9625)Time elapsed: 0.053 s
% 7.49/2.31 % (9625)Instructions burned: 135 (million)
% 7.49/2.31 % (9625)------------------------------
% 7.49/2.31 % (9625)------------------------------
% 7.49/2.33 % (9632)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_9322 for (2990ds/258Mi)
% 7.49/2.37 % (9621)Instruction limit reached!
% 7.49/2.37 % (9621)------------------------------
% 7.49/2.37 % (9621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.37 % (9621)Termination reason: Unknown
% 7.49/2.37 % (9621)Termination phase: Saturation
% 7.49/2.37
% 7.49/2.37 % (9621)Memory used [KB]: 7675
% 7.49/2.37 % (9621)Time elapsed: 0.122 s
% 7.49/2.37 % (9621)Instructions burned: 283 (million)
% 7.49/2.37 % (9621)------------------------------
% 7.49/2.37 % (9621)------------------------------
% 7.49/2.37 % (9627)Instruction limit reached!
% 7.49/2.37 % (9627)------------------------------
% 7.49/2.37 % (9627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.37 % (9627)Termination reason: Unknown
% 7.49/2.37 % (9627)Termination phase: Saturation
% 7.49/2.37
% 7.49/2.37 % (9627)Memory used [KB]: 6396
% 7.49/2.37 % (9627)Time elapsed: 0.100 s
% 7.49/2.37 % (9627)Instructions burned: 193 (million)
% 7.49/2.37 % (9627)------------------------------
% 7.49/2.37 % (9627)------------------------------
% 7.49/2.37 % (9619)Instruction limit reached!
% 7.49/2.37 % (9619)------------------------------
% 7.49/2.37 % (9619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.37 % (9619)Termination reason: Unknown
% 7.49/2.37 % (9619)Termination phase: Saturation
% 7.49/2.37
% 7.49/2.37 % (9619)Memory used [KB]: 6396
% 7.49/2.37 % (9619)Time elapsed: 0.165 s
% 7.49/2.37 % (9619)Instructions burned: 339 (million)
% 7.49/2.37 % (9619)------------------------------
% 7.49/2.37 % (9619)------------------------------
% 7.49/2.38 % (9636)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_9322 for (2990ds/90Mi)
% 7.49/2.39 % (9637)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_9322 for (2990ds/231Mi)
% 7.49/2.39 % (9638)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_9322 for (2990ds/458Mi)
% 8.03/2.40 % (9626)Instruction limit reached!
% 8.03/2.40 % (9626)------------------------------
% 8.03/2.40 % (9626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.40 % (9626)Termination reason: Unknown
% 8.03/2.40 % (9626)Termination phase: Saturation
% 8.03/2.40
% 8.03/2.40 % (9626)Memory used [KB]: 6268
% 8.03/2.40 % (9626)Time elapsed: 0.124 s
% 8.03/2.40 % (9626)Instructions burned: 298 (million)
% 8.03/2.40 % (9626)------------------------------
% 8.03/2.40 % (9626)------------------------------
% 8.03/2.41 % (9642)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_9322 for (2990ds/31Mi)
% 8.03/2.42 % (9586)Instruction limit reached!
% 8.03/2.42 % (9586)------------------------------
% 8.03/2.42 % (9586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.42 % (9586)Termination reason: Unknown
% 8.03/2.42 % (9586)Termination phase: Saturation
% 8.03/2.42
% 8.03/2.42 % (9586)Memory used [KB]: 7036
% 8.03/2.42 % (9586)Time elapsed: 0.468 s
% 8.03/2.42 % (9586)Instructions burned: 1089 (million)
% 8.03/2.42 % (9586)------------------------------
% 8.03/2.42 % (9586)------------------------------
% 8.03/2.42 % (9636)Instruction limit reached!
% 8.03/2.42 % (9636)------------------------------
% 8.03/2.42 % (9636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.42 % (9636)Termination reason: Unknown
% 8.03/2.42 % (9636)Termination phase: Saturation
% 8.03/2.42
% 8.03/2.42 % (9636)Memory used [KB]: 5884
% 8.03/2.42 % (9636)Time elapsed: 0.044 s
% 8.03/2.42 % (9636)Instructions burned: 90 (million)
% 8.03/2.42 % (9636)------------------------------
% 8.03/2.42 % (9636)------------------------------
% 8.03/2.43 % (9643)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_9322 for (2989ds/297Mi)
% 8.03/2.43 % (9642)Instruction limit reached!
% 8.03/2.43 % (9642)------------------------------
% 8.03/2.43 % (9642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.43 % (9642)Termination reason: Unknown
% 8.03/2.43 % (9642)Termination phase: Saturation
% 8.03/2.43
% 8.03/2.43 % (9642)Memory used [KB]: 5756
% 8.03/2.43 % (9642)Time elapsed: 0.018 s
% 8.03/2.43 % (9642)Instructions burned: 32 (million)
% 8.03/2.43 % (9642)------------------------------
% 8.03/2.43 % (9642)------------------------------
% 8.03/2.44 % (9614)Instruction limit reached!
% 8.03/2.44 % (9614)------------------------------
% 8.03/2.44 % (9614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.44 % (9614)Termination reason: Unknown
% 8.03/2.44 % (9614)Termination phase: Saturation
% 8.03/2.44
% 8.03/2.44 % (9614)Memory used [KB]: 6652
% 8.03/2.44 % (9614)Time elapsed: 0.261 s
% 8.03/2.44 % (9614)Instructions burned: 616 (million)
% 8.03/2.44 % (9614)------------------------------
% 8.03/2.44 % (9614)------------------------------
% 8.03/2.45 % (9644)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_9322 for (2989ds/987Mi)
% 8.03/2.45 % (9646)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_9322 for (2989ds/182Mi)
% 8.03/2.45 % (9632)Instruction limit reached!
% 8.03/2.45 % (9632)------------------------------
% 8.03/2.45 % (9632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.45 % (9632)Termination reason: Unknown
% 8.03/2.45 % (9632)Termination phase: Saturation
% 8.03/2.45
% 8.03/2.45 % (9632)Memory used [KB]: 6268
% 8.03/2.45 % (9632)Time elapsed: 0.120 s
% 8.03/2.45 % (9632)Instructions burned: 261 (million)
% 8.03/2.45 % (9632)------------------------------
% 8.03/2.45 % (9632)------------------------------
% 8.03/2.46 % (9649)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_9322 for (2989ds/154Mi)
% 8.03/2.47 % (9648)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_9322 for (2989ds/182Mi)
% 8.03/2.47 % (9649)Refutation not found, incomplete strategy
% 8.03/2.47 % (9649)------------------------------
% 8.03/2.47 % (9649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.03/2.47 % (9649)Termination reason: Refutation not found, incomplete strategy
% 8.03/2.47
% 8.03/2.47
% 8.03/2.47 % (9649)Memory used [KB]: 5756
% 8.03/2.47 % (9649)Time elapsed: 0.013 s
% 8.03/2.47 % (9649)Instructions burned: 21 (million)
% 8.03/2.47 % (9649)------------------------------
% 8.03/2.47 % (9649)------------------------------
% 8.03/2.49 % (9652)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_9322 for (2989ds/79Mi)
% 8.71/2.50 % (9637)Instruction limit reached!
% 8.71/2.50 % (9637)------------------------------
% 8.71/2.50 % (9637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.71/2.50 % (9637)Termination reason: Unknown
% 8.71/2.50 % (9637)Termination phase: Saturation
% 8.71/2.50
% 8.71/2.50 % (9637)Memory used [KB]: 6652
% 8.71/2.50 % (9637)Time elapsed: 0.116 s
% 8.71/2.50 % (9637)Instructions burned: 232 (million)
% 8.71/2.50 % (9637)------------------------------
% 8.71/2.50 % (9637)------------------------------
% 8.71/2.52 % (9654)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_9322 for (2989ds/216Mi)
% 8.71/2.53 % (9648)Instruction limit reached!
% 8.71/2.53 % (9648)------------------------------
% 8.71/2.53 % (9648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.71/2.53 % (9648)Termination reason: Unknown
% 8.71/2.53 % (9648)Termination phase: Saturation
% 8.71/2.53
% 8.71/2.53 % (9648)Memory used [KB]: 6140
% 8.71/2.53 % (9648)Time elapsed: 0.061 s
% 8.71/2.53 % (9648)Instructions burned: 184 (million)
% 8.71/2.53 % (9648)------------------------------
% 8.71/2.53 % (9648)------------------------------
% 8.71/2.53 % (9652)Instruction limit reached!
% 8.71/2.53 % (9652)------------------------------
% 8.71/2.53 % (9652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.71/2.53 % (9652)Termination reason: Unknown
% 8.71/2.53 % (9652)Termination phase: Saturation
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% 8.71/2.53 % (9652)Memory used [KB]: 5756
% 8.71/2.53 % (9652)Time elapsed: 0.042 s
% 8.71/2.53 % (9652)Instructions burned: 80 (million)
% 8.71/2.53 % (9652)------------------------------
% 8.71/2.53 % (9652)------------------------------
% 8.71/2.53 % (9646)Instruction limit reached!
% 8.71/2.53 % (9646)------------------------------
% 8.71/2.53 % (9646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.71/2.53 % (9646)Termination reason: Unknown
% 8.71/2.53 % (9646)Termination phase: Saturation
% 8.71/2.53
% 8.71/2.53 % (9646)Memory used [KB]: 6140
% 8.71/2.53 % (9646)Time elapsed: 0.083 s
% 8.71/2.53 % (9646)Instructions burned: 182 (million)
% 8.71/2.53 % (9646)------------------------------
% 8.71/2.53 % (9646)------------------------------
% 8.71/2.54 % (9656)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_9322 for (2988ds/114Mi)
% 8.71/2.54 % (9638)First to succeed.
% 8.71/2.54 % (9638)Refutation found. Thanks to Tanya!
% 8.71/2.54 % SZS status Theorem for DTF2THF_9322
% 8.71/2.54 % SZS output start Proof for DTF2THF_9322
% 8.71/2.54 thf(type_def_6, type, elem: $tType).
% 8.71/2.54 thf(type_def_7, type, nat: $tType).
% 8.71/2.54 thf(type_def_8, type, list: $tType).
% 8.71/2.54 thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 8.71/2.54 thf(func_def_2, type, elem: $tType).
% 8.71/2.54 thf(func_def_3, type, elemStar: elem > elem > $o).
% 8.71/2.54 thf(func_def_4, type, nat: $tType).
% 8.71/2.54 thf(func_def_5, type, natStar: nat > nat > $o).
% 8.71/2.54 thf(func_def_6, type, zero: nat).
% 8.71/2.54 thf(func_def_7, type, suc: nat > nat).
% 8.71/2.54 thf(func_def_8, type, plus: nat > nat > nat).
% 8.71/2.54 thf(func_def_9, type, list: $tType).
% 8.71/2.54 thf(func_def_10, type, listStar: nat > list > list > $o).
% 8.71/2.54 thf(func_def_11, type, nil: list).
% 8.71/2.54 thf(func_def_12, type, cons: nat > elem > list > list).
% 8.71/2.54 thf(func_def_13, type, app: nat > nat > list > list > list).
% 8.71/2.54 thf(func_def_14, type, rev: nat > list > list).
% 8.71/2.54 thf(func_def_17, type, sK0: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.71/2.54 thf(func_def_18, type, sK1: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.71/2.54 thf(func_def_19, type, sK2: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.71/2.54 thf(func_def_20, type, sK3: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.71/2.54 thf(func_def_21, type, sK4: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.71/2.54 thf(func_def_22, type, sK5: nat).
% 8.71/2.54 thf(func_def_23, type, sK6: list).
% 8.71/2.54 thf(func_def_24, type, sK7: (nat > $o) > nat).
% 8.71/2.54 thf(func_def_27, type, ph9: !>[X0: $tType]:(X0)).
% 8.71/2.54 thf(f1031,plain,(
% 8.71/2.54 $false),
% 8.71/2.54 inference(subsumption_resolution,[status(thm)],[f1029,f103])).
% 8.71/2.54 thf(f103,plain,(
% 8.71/2.54 ($true = (listStar @ sK5 @ sK6 @ sK6))),
% 8.71/2.54 inference(cnf_transformation,[status(thm)],[f81])).
% 8.71/2.54 thf(f81,plain,(
% 8.71/2.54 ($true != (listStar @ sK5 @ (rev @ sK5 @ (rev @ sK5 @ sK6)) @ (rev @ (plus @ sK5 @ zero) @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil)))) & ($true = (listStar @ sK5 @ sK6 @ sK6))),
% 8.71/2.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f68,f80])).
% 8.71/2.54 thf(f80,plain,(
% 8.71/2.54 ? [X0 : nat,X1 : list] : (((listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (rev @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ (rev @ X0 @ X1) @ nil))) != $true) & ((listStar @ X0 @ X1 @ X1) = $true)) => (($true != (listStar @ sK5 @ (rev @ sK5 @ (rev @ sK5 @ sK6)) @ (rev @ (plus @ sK5 @ zero) @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil)))) & ($true = (listStar @ sK5 @ sK6 @ sK6)))),
% 8.71/2.54 introduced(definition,[],[choice_axiom])).
% 8.71/2.54 thf(f68,plain,(
% 8.71/2.54 ? [X0 : nat,X1 : list] : (((listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (rev @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ (rev @ X0 @ X1) @ nil))) != $true) & ((listStar @ X0 @ X1 @ X1) = $true))),
% 8.71/2.54 inference(ennf_transformation,[status(thm)],[f51])).
% 8.71/2.54 thf(f51,plain,(
% 8.71/2.54 ~! [X0 : nat,X1 : list] : (((listStar @ X0 @ X1 @ X1) = $true) => ((listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (rev @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ (rev @ X0 @ X1) @ nil))) = $true))),
% 8.71/2.54 inference(fool_elimination,[status(thm)],[f50])).
% 8.71/2.54 thf(f50,plain,(
% 8.71/2.54 ~! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => (listStar @ X0 @ (rev @ X0 @ (rev @ X0 @ X1)) @ (rev @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ (rev @ X0 @ X1) @ nil))))),
% 8.71/2.54 inference(rectify,[status(thm)],[f22])).
% 8.71/2.54 thf(f22,negated_conjecture,(
% 8.71/2.54 ~! [X6 : nat,X13 : list] : ((listStar @ X6 @ X13 @ X13) => (listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ (rev @ (plus @ X6 @ zero) @ (app @ X6 @ zero @ (rev @ X6 @ X13) @ nil))))),
% 8.71/2.54 inference(negated_conjecture,[status(cth)],[f21])).
% 8.71/2.54 thf(f21,conjecture,(
% 8.71/2.54 ! [X6 : nat,X13 : list] : ((listStar @ X6 @ X13 @ X13) => (listStar @ X6 @ (rev @ X6 @ (rev @ X6 @ X13)) @ (rev @ (plus @ X6 @ zero) @ (app @ X6 @ zero @ (rev @ X6 @ X13) @ nil))))),
% 8.71/2.54 file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',list_rev_invol_step1)).
% 8.71/2.54 thf(f1029,plain,(
% 8.71/2.54 ($true != (listStar @ sK5 @ sK6 @ sK6))),
% 8.71/2.54 inference(trivial_inequality_removal,[status(thm)],[f1026])).
% 8.71/2.54 thf(f1026,plain,(
% 8.71/2.54 ($true != (listStar @ sK5 @ sK6 @ sK6)) | ($true != $true)),
% 8.71/2.54 inference(superposition,[status(thm)],[f610,f99])).
% 8.71/2.54 thf(f99,plain,(
% 8.71/2.54 ( ! [X2 : list,X0 : nat,X1 : list] : (((listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2)) = $true) | ((listStar @ X0 @ X1 @ X2) != $true)) )),
% 8.71/2.54 inference(cnf_transformation,[status(thm)],[f71])).
% 8.71/2.54 thf(f71,plain,(
% 8.71/2.54 ! [X0 : nat,X1 : list,X2 : list] : (((listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2)) = $true) | ((listStar @ X0 @ X1 @ X2) != $true))),
% 8.71/2.54 inference(ennf_transformation,[status(thm)],[f45])).
% 8.71/2.54 thf(f45,plain,(
% 8.71/2.54 ! [X0 : nat,X1 : list,X2 : list] : (((listStar @ X0 @ X1 @ X2) = $true) => ((listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2)) = $true))),
% 8.71/2.54 inference(fool_elimination,[status(thm)],[f44])).
% 8.71/2.54 thf(f44,plain,(
% 8.71/2.54 ! [X0 : nat,X1 : list,X2 : list] : ((listStar @ X0 @ X1 @ X2) => (listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2)))),
% 8.71/2.54 inference(rectify,[status(thm)],[f8])).
% 8.71/2.54 thf(f8,axiom,(
% 8.71/2.54 ! [X6 : nat,X7 : list,X11 : list] : ((listStar @ X6 @ X7 @ X11) => (listStar @ X6 @ (rev @ X6 @ X7) @ (rev @ X6 @ X11)))),
% 8.71/2.54 file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',rev_tp_ax)).
% 8.71/2.54 thf(f610,plain,(
% 8.71/2.54 ($true != (listStar @ sK5 @ (rev @ sK5 @ sK6) @ (rev @ sK5 @ sK6)))),
% 8.71/2.54 inference(trivial_inequality_removal,[status(thm)],[f606])).
% 8.71/2.54 thf(f606,plain,(
% 8.71/2.54 ($true != $true) | ($true != (listStar @ sK5 @ (rev @ sK5 @ sK6) @ (rev @ sK5 @ sK6)))),
% 8.71/2.54 inference(superposition,[status(thm)],[f363,f129])).
% 8.71/2.54 thf(f129,plain,(
% 8.71/2.54 ( ! [X0 : nat,X1 : list] : (((listStar @ X0 @ (app @ X0 @ zero @ X1 @ nil) @ X1) = $true) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 8.71/2.54 inference(backward_demodulation,[status(thm)],[f88,f125])).
% 8.71/2.54 thf(f125,plain,(
% 8.71/2.54 ( ! [X0 : nat] : (((plus @ X0 @ zero) = X0)) )),
% 8.71/2.54 inference(superposition,[status(thm)],[f113,f90])).
% 8.71/2.54 thf(f90,plain,(
% 8.71/2.54 ( ! [X0 : nat] : (((plus @ zero @ X0) = X0)) )),
% 8.71/2.54 inference(cnf_transformation,[status(thm)],[f58])).
% 8.71/2.54 thf(f58,plain,(
% 8.71/2.54 ! [X0 : nat] : ((plus @ zero @ X0) = X0)),
% 8.71/2.54 inference(rectify,[status(thm)],[f12])).
% 8.71/2.54 thf(f12,axiom,(
% 8.71/2.54 ! [X6 : nat] : ((plus @ zero @ X6) = X6)),
% 8.71/2.54 file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',ax1)).
% 8.71/2.54 thf(f113,plain,(
% 8.71/2.54 ( ! [X0 : nat,X1 : nat] : (((plus @ X0 @ X1) = (plus @ X1 @ X0))) )),
% 8.71/2.54 inference(cnf_transformation,[status(thm)],[f54])).
% 8.71/2.54 thf(f54,plain,(
% 8.71/2.54 ! [X0 : nat,X1 : nat] : ((plus @ X0 @ X1) = (plus @ X1 @ X0))),
% 8.71/2.54 inference(rectify,[status(thm)],[f18])).
% 8.71/2.54 thf(f18,axiom,(
% 8.71/2.54 ! [X6 : nat,X10 : nat] : ((plus @ X6 @ X10) = (plus @ X10 @ X6))),
% 8.71/2.54 file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',plus_com)).
% 8.71/2.54 thf(f88,plain,(
% 8.71/2.54 ( ! [X0 : nat,X1 : list] : (((listStar @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ X1 @ nil) @ X1) = $true) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 8.71/2.54 inference(cnf_transformation,[status(thm)],[f70])).
% 8.71/2.54 thf(f70,plain,(
% 8.71/2.54 ! [X0 : nat,X1 : list] : (((listStar @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ X1 @ nil) @ X1) = $true) | ((listStar @ X0 @ X1 @ X1) != $true))),
% 8.71/2.54 inference(ennf_transformation,[status(thm)],[f29])).
% 8.71/2.54 thf(f29,plain,(
% 8.71/2.54 ! [X0 : nat,X1 : list] : (((listStar @ X0 @ X1 @ X1) = $true) => ((listStar @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ X1 @ nil) @ X1) = $true))),
% 8.71/2.54 inference(fool_elimination,[status(thm)],[f28])).
% 8.71/2.54 thf(f28,plain,(
% 8.71/2.54 ! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => (listStar @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ X1 @ nil) @ X1))),
% 8.71/2.54 inference(rectify,[status(thm)],[f20])).
% 8.71/2.54 thf(f20,axiom,(
% 8.71/2.54 ! [X6 : nat,X13 : list] : ((listStar @ X6 @ X13 @ X13) => (listStar @ (plus @ X6 @ zero) @ (app @ X6 @ zero @ X13 @ nil) @ X13))),
% 8.71/2.54 file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',list_app_nil)).
% 8.71/2.54 thf(f363,plain,(
% 8.71/2.54 ($true != (listStar @ sK5 @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil) @ (rev @ sK5 @ sK6)))),
% 8.71/2.54 inference(subsumption_resolution,[status(thm)],[f355,f102])).
% 8.71/2.54 thf(f102,plain,(
% 8.71/2.54 ( ! [X0 : nat] : (((isPer @ list @ (listStar @ X0)) = $true)) )),
% 8.71/2.54 inference(cnf_transformation,[status(thm)],[f25])).
% 8.71/2.54 thf(f25,plain,(
% 8.71/2.54 ! [X0 : nat] : ((isPer @ list @ (listStar @ X0)) = $true)),
% 8.71/2.54 inference(fool_elimination,[status(thm)],[f24])).
% 8.71/2.54 thf(f24,plain,(
% 8.71/2.54 ! [X0 : nat] : (isPer @ list @ (listStar @ X0))),
% 8.71/2.54 inference(rectify,[status(thm)],[f4])).
% 8.71/2.54 thf(f4,axiom,(
% 8.71/2.54 ! [X5 : nat] : (isPer @ list @ (listStar @ X5))),
% 8.71/2.54 file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p','\'listStar\'_is_per')).
% 8.71/2.54 thf(f355,plain,(
% 8.71/2.54 ($true != (isPer @ list @ (listStar @ sK5))) | ($true != (listStar @ sK5 @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil) @ (rev @ sK5 @ sK6)))),
% 8.71/2.54 inference(trivial_inequality_removal,[status(thm)],[f338])).
% 8.71/2.54 thf(f338,plain,(
% 8.71/2.54 ($true != (isPer @ list @ (listStar @ sK5))) | ($true != $true) | ($true != (listStar @ sK5 @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil) @ (rev @ sK5 @ sK6)))),
% 8.71/2.54 inference(superposition,[status(thm)],[f138,f92])).
% 8.71/2.54 thf(f92,plain,(
% 8.71/2.54 ( ! [X0 : $tType,X1 : X0 > X0 > $o,X8 : X0,X7 : X0] : (((X1 @ X8 @ X7) = $true) | ($true != (X1 @ X7 @ X8)) | ((isPer @ X0 @ X1) != $true)) )),
% 8.71/2.54 inference(cnf_transformation,[status(thm)],[f79])).
% 8.71/2.54 thf(f79,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((((isPer @ X0 @ X1) = $true) | (((X1 @ (sK1 @ X0 @ X1) @ (sK0 @ X0 @ X1)) != $true) & ((X1 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1)) = $true)) | (((X1 @ (sK2 @ X0 @ X1) @ (sK4 @ X0 @ X1)) != $true) & ((X1 @ (sK3 @ X0 @ X1) @ (sK4 @ X0 @ X1)) = $true) & ((X1 @ (sK2 @ X0 @ X1) @ (sK3 @ X0 @ X1)) = $true))) & ((! [X7 : X0,X8 : X0] : (((X1 @ X8 @ X7) = $true) | ($true != (X1 @ X7 @ X8))) & ! [X9 : X0,X10 : X0,X11 : X0] : (($true = (X1 @ X9 @ X11)) | ((X1 @ X10 @ X11) != $true) | ((X1 @ X9 @ X10) != $true))) | ((isPer @ X0 @ X1) != $true)))),
% 8.71/2.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f76,f78,f77])).
% 8.71/2.54 thf(f77,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) != $true) & ((X1 @ X2 @ X3) = $true)) => (((X1 @ (sK1 @ X0 @ X1) @ (sK0 @ X0 @ X1)) != $true) & ((X1 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1)) = $true)))),
% 8.71/2.54 introduced(definition,[],[choice_axiom])).
% 8.71/2.54 thf(f78,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X4 : X0,X5 : X0,X6 : X0] : (($true != (X1 @ X4 @ X6)) & ($true = (X1 @ X5 @ X6)) & ($true = (X1 @ X4 @ X5))) => (((X1 @ (sK2 @ X0 @ X1) @ (sK4 @ X0 @ X1)) != $true) & ((X1 @ (sK3 @ X0 @ X1) @ (sK4 @ X0 @ X1)) = $true) & ((X1 @ (sK2 @ X0 @ X1) @ (sK3 @ X0 @ X1)) = $true)))),
% 8.71/2.54 introduced(definition,[],[choice_axiom])).
% 8.71/2.54 thf(f76,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((((isPer @ X0 @ X1) = $true) | ? [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) != $true) & ((X1 @ X2 @ X3) = $true)) | ? [X4 : X0,X5 : X0,X6 : X0] : (($true != (X1 @ X4 @ X6)) & ($true = (X1 @ X5 @ X6)) & ($true = (X1 @ X4 @ X5)))) & ((! [X7 : X0,X8 : X0] : (((X1 @ X8 @ X7) = $true) | ($true != (X1 @ X7 @ X8))) & ! [X9 : X0,X10 : X0,X11 : X0] : (($true = (X1 @ X9 @ X11)) | ((X1 @ X10 @ X11) != $true) | ((X1 @ X9 @ X10) != $true))) | ((isPer @ X0 @ X1) != $true)))),
% 8.71/2.54 inference(rectify,[status(thm)],[f75])).
% 8.71/2.54 thf(f75,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((((isPer @ X0 @ X1) = $true) | ? [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) != $true) & ((X1 @ X2 @ X3) = $true)) | ? [X4 : X0,X5 : X0,X6 : X0] : (($true != (X1 @ X4 @ X6)) & ($true = (X1 @ X5 @ X6)) & ($true = (X1 @ X4 @ X5)))) & ((! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X6)) | ($true != (X1 @ X5 @ X6)) | ($true != (X1 @ X4 @ X5)))) | ((isPer @ X0 @ X1) != $true)))),
% 8.71/2.54 inference(flattening,[status(thm)],[f74])).
% 8.71/2.54 thf(f74,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((((isPer @ X0 @ X1) = $true) | (? [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) != $true) & ((X1 @ X2 @ X3) = $true)) | ? [X4 : X0,X5 : X0,X6 : X0] : (($true != (X1 @ X4 @ X6)) & ($true = (X1 @ X5 @ X6)) & ($true = (X1 @ X4 @ X5))))) & ((! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X6)) | ($true != (X1 @ X5 @ X6)) | ($true != (X1 @ X4 @ X5)))) | ((isPer @ X0 @ X1) != $true)))),
% 8.71/2.54 inference(nnf_transformation,[status(thm)],[f67])).
% 8.71/2.54 thf(f67,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) <=> (! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X6)) | ($true != (X1 @ X5 @ X6)) | ($true != (X1 @ X4 @ X5)))))),
% 8.71/2.54 inference(flattening,[status(thm)],[f66])).
% 8.71/2.54 thf(f66,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X4 : X0,X5 : X0,X6 : X0] : ((($true = (X1 @ X4 @ X6)) | ($true != (X1 @ X5 @ X6))) | ($true != (X1 @ X4 @ X5))) & ! [X2 : X0,X3 : X0] : (((X1 @ X3 @ X2) = $true) | ((X1 @ X2 @ X3) != $true))) <=> ((isPer @ X0 @ X1) = $true))),
% 8.71/2.54 inference(ennf_transformation,[status(thm)],[f33])).
% 8.71/2.54 thf(f33,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X5)) => (($true = (X1 @ X5 @ X6)) => ($true = (X1 @ X4 @ X6)))) & ! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) = $true) => ((X1 @ X3 @ X2) = $true))) <=> ((isPer @ X0 @ X1) = $true))),
% 8.71/2.54 inference(fool_elimination,[status(thm)],[f32])).
% 8.71/2.54 thf(f32,plain,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [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)))) <=> (isPer @ X0 @ X1))),
% 8.71/2.54 inference(rectify,[status(thm)],[f1])).
% 8.71/2.54 thf(f1,axiom,(
% 8.71/2.54 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [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)))) <=> (isPer @ X0 @ X1))),
% 8.71/2.54 file('/export/starexec/sandbox2/tmp/tmp.I4NuCdlccu/DTF2THF_9322.p',is_per)).
% 8.71/2.54 thf(f138,plain,(
% 8.71/2.54 ((listStar @ sK5 @ (rev @ sK5 @ sK6) @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil)) != $true)),
% 8.71/2.54 inference(trivial_inequality_removal,[status(thm)],[f137])).
% 8.71/2.54 thf(f137,plain,(
% 8.71/2.54 ($true != $true) | ((listStar @ sK5 @ (rev @ sK5 @ sK6) @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil)) != $true)),
% 8.71/2.54 inference(superposition,[status(thm)],[f124,f99])).
% 8.71/2.54 thf(f124,plain,(
% 8.71/2.54 ((listStar @ sK5 @ (rev @ sK5 @ (rev @ sK5 @ sK6)) @ (rev @ sK5 @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil))) != $true)),
% 8.71/2.54 inference(backward_demodulation,[status(thm)],[f121,f90])).
% 8.71/2.54 thf(f121,plain,(
% 8.71/2.54 ((listStar @ sK5 @ (rev @ sK5 @ (rev @ sK5 @ sK6)) @ (rev @ (plus @ zero @ sK5) @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil))) != $true)),
% 8.71/2.54 inference(backward_demodulation,[status(thm)],[f104,f113])).
% 8.71/2.54 thf(f104,plain,(
% 8.71/2.54 ($true != (listStar @ sK5 @ (rev @ sK5 @ (rev @ sK5 @ sK6)) @ (rev @ (plus @ sK5 @ zero) @ (app @ sK5 @ zero @ (rev @ sK5 @ sK6) @ nil))))),
% 8.71/2.54 inference(cnf_transformation,[status(thm)],[f81])).
% 8.71/2.54 % SZS output end Proof for DTF2THF_9322
% 8.71/2.54 % (9638)------------------------------
% 8.71/2.54 % (9638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.71/2.54 % (9638)Termination reason: Refutation
% 8.71/2.54
% 8.71/2.54 % (9638)Memory used [KB]: 6396
% 8.71/2.54 % (9638)Time elapsed: 0.152 s
% 8.71/2.54 % (9638)Instructions burned: 299 (million)
% 8.71/2.54 % (9638)------------------------------
% 8.71/2.54 % (9638)------------------------------
% 8.71/2.54 % (9506)Success in time 1.123 s
%------------------------------------------------------------------------------