%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT382^1 : TPTP v9.2.1. Released v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n029.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 08:45:36 AM UTC 2026
% Result : Theorem 63.47s 10.24s
% Output : Refutation 63.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 26
% Syntax : Number of formulae : 131 ( 32 unt; 0 typ; 2 def)
% Number of atoms : 1035 ( 307 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 1804 ( 82 ~; 175 |; 35 &;1474 @)
% ( 7 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 72 ( 69 usr; 8 con; 0-4 aty)
% Number of variables : 274 ( 0 ^; 250 !; 24 ?; 274 :)
% 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 > list > $o ) > nat ).
thf(func_def_23,type,
sK6: ( nat > list > $o ) > list ).
thf(func_def_24,type,
sK7: ( nat > list > $o ) > list ).
thf(func_def_25,type,
sK8: ( nat > list > $o ) > nat ).
thf(func_def_26,type,
sK9: ( nat > list > $o ) > elem ).
thf(func_def_27,type,
sK10: ( nat > list > $o ) > list ).
thf(func_def_28,type,
sK11: ( nat > $o ) > nat ).
thf(func_def_29,type,
sK12: nat ).
thf(func_def_30,type,
sK13: list ).
thf(func_def_31,type,
sP14: $o > $o ).
thf(func_def_32,type,
sP15: $o > $o ).
thf(func_def_33,type,
sP16: $o > $o ).
thf(func_def_34,type,
sP17: $o > $o ).
thf(func_def_35,type,
sP18: $o > $o ).
thf(func_def_36,type,
sP19: $o > $o ).
thf(func_def_37,type,
sP20: $o > $o ).
thf(func_def_38,type,
sP21: $o > $o ).
thf(func_def_39,type,
sP22: $o > $o ).
thf(func_def_40,type,
sP23: $o > $o ).
thf(func_def_41,type,
sP24: $o > $o ).
thf(func_def_42,type,
sP25: $o > $o ).
thf(func_def_43,type,
sP26: $o > $o ).
thf(func_def_44,type,
sP27: $o > $o ).
thf(func_def_45,type,
sP28: $o > $o ).
thf(func_def_46,type,
sP29: $o > $o ).
thf(func_def_47,type,
sP30: $o > $o ).
thf(func_def_48,type,
sP31: $o > $o ).
thf(func_def_49,type,
sP32: $o > $o ).
thf(func_def_50,type,
sP33: $o > $o ).
thf(func_def_51,type,
sP34: $o > $o ).
thf(func_def_52,type,
sP35: $o > $o ).
thf(func_def_53,type,
sP36: $o > $o ).
thf(func_def_54,type,
sP37: $o > $o ).
thf(func_def_55,type,
sP38: $o > $o ).
thf(func_def_56,type,
sP39: $o > $o ).
thf(func_def_57,type,
sP40: $o > $o ).
thf(func_def_58,type,
sP41: $o > $o ).
thf(func_def_59,type,
sP42: $o > $o ).
thf(func_def_60,type,
sP43: $o > $o ).
thf(func_def_61,type,
sP44: $o > $o ).
thf(func_def_62,type,
sP45: $o > $o ).
thf(func_def_63,type,
sP46: $o > $o ).
thf(func_def_64,type,
sP47: nat > $o ).
thf(func_def_65,type,
sP48: $o > $o ).
thf(func_def_66,type,
sP49: $o > $o ).
thf(func_def_67,type,
sP50: $o > $o ).
thf(func_def_68,type,
sP51: $o > $o ).
thf(func_def_69,type,
sP52: $o > $o ).
thf(func_def_70,type,
sP53: $o > $o ).
thf(func_def_71,type,
sP54: $o > $o ).
thf(func_def_73,type,
ph56:
!>[X0: $tType] : X0 ).
thf(f2486,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f1785,f1814,f2485]) ).
thf(f2485,plain,
~ spl55_21,
inference(avatar_contradiction_clause,[status(thm)],[f2484]) ).
thf(f2484,plain,
( $false
| ~ spl55_21 ),
inference(trivial_inequality_removal,[status(thm)],[f2483]) ).
thf(f2483,plain,
( ( $true = $false )
| ~ spl55_21 ),
inference(forward_demodulation,[status(thm)],[f2482,f156]) ).
thf(f156,plain,
( ( sP28 @ $true )
= $false ),
introduced(definition,[new_symbols(naming,[sP28])],[inequality_splitting_name_introduction]) ).
thf(f2482,plain,
( ( $true
= ( sP28 @ $true ) )
| ~ spl55_21 ),
inference(trivial_inequality_removal,[status(thm)],[f2481]) ).
thf(f2481,plain,
( ( $true = $false )
| ( $true
= ( sP28 @ $true ) )
| ~ spl55_21 ),
inference(forward_demodulation,[status(thm)],[f2480,f154]) ).
thf(f154,plain,
( ( sP27 @ $true )
= $false ),
introduced(definition,[new_symbols(naming,[sP27])],[inequality_splitting_name_introduction]) ).
thf(f2480,plain,
( ( $true
= ( sP27 @ $true ) )
| ( $true
= ( sP28 @ $true ) )
| ~ spl55_21 ),
inference(forward_demodulation,[status(thm)],[f2479,f127]) ).
thf(f127,plain,
( ( listStar @ sK12 @ sK13 @ sK13 )
= $true ),
inference(cnf_transformation,[status(thm)],[f93]) ).
thf(f93,plain,
( ( ( listStar @ sK12 @ sK13 @ sK13 )
= $true )
& ( $true
!= ( listStar @ ( plus @ zero @ sK12 ) @ ( rev @ ( plus @ zero @ sK12 ) @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( app @ sK12 @ zero @ ( rev @ sK12 @ sK13 ) @ nil ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f64,f92]) ).
thf(f92,plain,
( ? [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ X1 @ X1 ) )
& ( $true
!= ( listStar @ ( plus @ zero @ X0 ) @ ( rev @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) ) @ ( app @ X0 @ zero @ ( rev @ X0 @ X1 ) @ nil ) ) ) )
=> ( ( ( listStar @ sK12 @ sK13 @ sK13 )
= $true )
& ( $true
!= ( listStar @ ( plus @ zero @ sK12 ) @ ( rev @ ( plus @ zero @ sK12 ) @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( app @ sK12 @ zero @ ( rev @ sK12 @ sK13 ) @ nil ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f64,plain,
? [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ X1 @ X1 ) )
& ( $true
!= ( listStar @ ( plus @ zero @ X0 ) @ ( rev @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) ) @ ( app @ X0 @ zero @ ( rev @ X0 @ X1 ) @ nil ) ) ) ),
inference(ennf_transformation,[status(thm)],[f44]) ).
thf(f44,plain,
~ ! [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ X1 @ X1 ) )
=> ( $true
= ( listStar @ ( plus @ zero @ X0 ) @ ( rev @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) ) @ ( app @ X0 @ zero @ ( rev @ X0 @ X1 ) @ nil ) ) ) ),
inference(fool_elimination,[status(thm)],[f43]) ).
thf(f43,plain,
~ ! [X0: nat,X1: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( listStar @ ( plus @ zero @ X0 ) @ ( rev @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) ) @ ( app @ X0 @ zero @ ( rev @ X0 @ X1 ) @ nil ) ) ),
inference(rectify,[status(thm)],[f23]) ).
thf(f23,negated_conjecture,
~ ! [X14: nat,X15: list] :
( ( listStar @ X14 @ X15 @ X15 )
=> ( listStar @ ( plus @ zero @ X14 ) @ ( rev @ ( plus @ zero @ X14 ) @ ( app @ zero @ X14 @ ( rev @ zero @ nil ) @ X15 ) ) @ ( app @ X14 @ zero @ ( rev @ X14 @ X15 ) @ nil ) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
thf(f22,conjecture,
! [X14: nat,X15: list] :
( ( listStar @ X14 @ X15 @ X15 )
=> ( listStar @ ( plus @ zero @ X14 ) @ ( rev @ ( plus @ zero @ X14 ) @ ( app @ zero @ X14 @ ( rev @ zero @ nil ) @ X15 ) ) @ ( app @ X14 @ zero @ ( rev @ X14 @ X15 ) @ nil ) ) ),
file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',list_rev_invol_lem_base) ).
thf(f2479,plain,
( ( $true
= ( sP27 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ( $true
= ( sP28 @ $true ) )
| ~ spl55_21 ),
inference(trivial_inequality_removal,[status(thm)],[f2478]) ).
thf(f2478,plain,
( ( $true
= ( sP27 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ( $true
= ( sP28 @ $true ) )
| ( $true = $false )
| ~ spl55_21 ),
inference(forward_demodulation,[status(thm)],[f2477,f191]) ).
thf(f191,plain,
( $false
= ( sP51 @ $true ) ),
introduced(definition,[new_symbols(naming,[sP51])],[inequality_splitting_name_introduction]) ).
thf(f2477,plain,
( ( $true
= ( sP51 @ $true ) )
| ( $true
= ( sP28 @ $true ) )
| ( $true
= ( sP27 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ~ spl55_21 ),
inference(trivial_inequality_removal,[status(thm)],[f2476]) ).
thf(f2476,plain,
( ( $true
= ( sP28 @ $true ) )
| ( $true
= ( sP51 @ $true ) )
| ( $true = $false )
| ( $true
= ( sP27 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ~ spl55_21 ),
inference(forward_demodulation,[status(thm)],[f2475,f157]) ).
thf(f157,plain,
( $false
= ( sP29 @ $true ) ),
introduced(definition,[new_symbols(naming,[sP29])],[inequality_splitting_name_introduction]) ).
thf(f2475,plain,
( ( $true
= ( sP29 @ $true ) )
| ( $true
= ( sP28 @ $true ) )
| ( $true
= ( sP27 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ( $true
= ( sP51 @ $true ) )
| ~ spl55_21 ),
inference(forward_demodulation,[status(thm)],[f2474,f127]) ).
thf(f2474,plain,
( ( $true
= ( sP28 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ( $true
= ( sP51 @ $true ) )
| ( $true
= ( sP29 @ $true ) )
| ( $true
= ( sP27 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ~ spl55_21 ),
inference(forward_demodulation,[status(thm)],[f2473,f106]) ).
thf(f106,plain,
( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
= $true ),
inference(cnf_transformation,[status(thm)],[f52]) ).
thf(f52,plain,
( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
= $true ),
inference(fool_elimination,[status(thm)],[f51]) ).
thf(f51,plain,
listStar @ zero @ ( rev @ zero @ nil ) @ nil,
inference(rectify,[status(thm)],[f17]) ).
thf(f17,axiom,
listStar @ zero @ ( rev @ zero @ nil ) @ nil,
file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',ax5) ).
thf(f2473,plain,
( ( $true
= ( sP29 @ ( listStar @ zero @ ( rev @ zero @ nil ) @ nil ) ) )
| ( $true
= ( sP28 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ( $true
= ( sP27 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ( $true
= ( sP51 @ $true ) )
| ~ spl55_21 ),
inference(superposition,[status(thm)],[f2412,f1006]) ).
thf(f1006,plain,
! [X2: list,X3: list,X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ ( app @ zero @ X0 @ X1 @ X2 ) @ X3 ) )
| ( $true
= ( sP29 @ ( listStar @ zero @ X1 @ nil ) ) )
| ( $true
= ( sP28 @ ( listStar @ X0 @ X2 @ X3 ) ) )
| ( $true
= ( sP27 @ ( listStar @ X0 @ X3 @ X3 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1005]) ).
thf(f1005,plain,
! [X2: list,X3: list,X0: nat,X1: list] :
( ( $true = $false )
| ( $true
= ( sP28 @ ( listStar @ X0 @ X2 @ X3 ) ) )
| ( $true
= ( sP29 @ ( listStar @ zero @ X1 @ nil ) ) )
| ( $true
= ( listStar @ X0 @ ( app @ zero @ X0 @ X1 @ X2 ) @ X3 ) )
| ( $true
= ( sP27 @ ( listStar @ X0 @ X3 @ X3 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f987,f136]) ).
thf(f136,plain,
( ( sP16 @ $true )
= $false ),
introduced(definition,[new_symbols(naming,[sP16])],[inequality_splitting_name_introduction]) ).
thf(f987,plain,
! [X2: list,X3: list,X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ ( app @ zero @ X0 @ X1 @ X2 ) @ X3 ) )
| ( $true
= ( sP28 @ ( listStar @ X0 @ X2 @ X3 ) ) )
| ( $true
= ( sP16 @ $true ) )
| ( $true
= ( sP29 @ ( listStar @ zero @ X1 @ nil ) ) )
| ( $true
= ( sP27 @ ( listStar @ X0 @ X3 @ X3 ) ) ) ),
inference(superposition,[status(thm)],[f391,f583]) ).
thf(f583,plain,
! [X2: list,X3: list,X0: nat,X1: list,X4: list] :
( ( $true
= ( listStar @ X0 @ ( app @ zero @ X0 @ X1 @ X2 ) @ ( app @ zero @ X0 @ X3 @ X4 ) ) )
| ( $true
= ( sP29 @ ( listStar @ zero @ X1 @ X3 ) ) )
| ( $true
= ( sP28 @ ( listStar @ X0 @ X2 @ X4 ) ) ) ),
inference(superposition,[status(thm)],[f158,f97]) ).
thf(f97,plain,
! [X0: nat] :
( ( plus @ zero @ X0 )
= X0 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
thf(f61,plain,
! [X0: nat] :
( ( plus @ zero @ X0 )
= X0 ),
inference(rectify,[status(thm)],[f13]) ).
thf(f13,axiom,
! [X6: nat] :
( ( plus @ zero @ X6 )
= X6 ),
file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',ax1) ).
thf(f158,plain,
! [X2: list,X3: list,X0: nat,X1: nat,X4: list,X5: list] :
( ( ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) )
= $true )
| ( $true
= ( sP29 @ ( listStar @ X0 @ X2 @ X3 ) ) )
| ( ( sP28 @ ( listStar @ X1 @ X4 @ X5 ) )
= $true ) ),
inference(inequality_splitting,[status(thm)],[f110,f157,f156]) ).
thf(f110,plain,
! [X2: list,X3: list,X0: nat,X1: nat,X4: list,X5: list] :
( ( ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) )
= $true )
| ( $true
!= ( listStar @ X1 @ X4 @ X5 ) )
| ( $true
!= ( listStar @ X0 @ X2 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
thf(f71,plain,
! [X0: nat,X1: nat,X2: list,X3: list] :
( ! [X4: list,X5: list] :
( ( ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) )
= $true )
| ( $true
!= ( listStar @ X1 @ X4 @ X5 ) ) )
| ( $true
!= ( listStar @ X0 @ X2 @ X3 ) ) ),
inference(ennf_transformation,[status(thm)],[f34]) ).
thf(f34,plain,
! [X0: nat,X1: nat,X2: list,X3: list] :
( ( $true
= ( listStar @ X0 @ X2 @ X3 ) )
=> ! [X4: list,X5: list] :
( ( $true
= ( listStar @ X1 @ X4 @ X5 ) )
=> ( ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f33]) ).
thf(f33,plain,
! [X0: nat,X1: nat,X2: list,X3: list] :
( ( listStar @ X0 @ X2 @ X3 )
=> ! [X4: list,X5: list] :
( ( listStar @ X1 @ X4 @ X5 )
=> ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,axiom,
! [X6: nat,X10: nat,X7: list,X11: list] :
( ( listStar @ X6 @ X7 @ X11 )
=> ! [X8: list,X9: list] :
( ( listStar @ X10 @ X8 @ X9 )
=> ( listStar @ ( plus @ X6 @ X10 ) @ ( app @ X6 @ X10 @ X7 @ X8 ) @ ( app @ X6 @ X10 @ X11 @ X9 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',app_tp_ax) ).
thf(f391,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ ( app @ zero @ X0 @ nil @ X1 ) ) ) )
| ( $true
= ( sP27 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( listStar @ X0 @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f390]) ).
thf(f390,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ ( app @ zero @ X0 @ nil @ X1 ) ) ) )
| ( $true
= ( listStar @ X0 @ X2 @ X1 ) )
| ( $true = $false )
| ( $true
= ( sP27 @ ( listStar @ X0 @ X1 @ X1 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f389,f138]) ).
thf(f138,plain,
( ( sP18 @ $true )
= $false ),
introduced(definition,[new_symbols(naming,[sP18])],[inequality_splitting_name_introduction]) ).
thf(f389,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ ( app @ zero @ X0 @ nil @ X1 ) ) ) )
| ( $true
= ( listStar @ X0 @ X2 @ X1 ) )
| ( $true
= ( sP18 @ $true ) )
| ( $true
= ( sP27 @ ( listStar @ X0 @ X1 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f388]) ).
thf(f388,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP27 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true = $false )
| ( $true
= ( listStar @ X0 @ X2 @ X1 ) )
| ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ ( app @ zero @ X0 @ nil @ X1 ) ) ) )
| ( $true
= ( sP18 @ $true ) ) ),
inference(forward_demodulation,[status(thm)],[f387,f137]) ).
thf(f137,plain,
( $false
= ( sP17 @ $true ) ),
introduced(definition,[new_symbols(naming,[sP17])],[inequality_splitting_name_introduction]) ).
thf(f387,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ ( app @ zero @ X0 @ nil @ X1 ) ) ) )
| ( $true
= ( sP17 @ $true ) )
| ( $true
= ( sP27 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( listStar @ X0 @ X2 @ X1 ) )
| ( $true
= ( sP18 @ $true ) ) ),
inference(forward_demodulation,[status(thm)],[f385,f119]) ).
thf(f119,plain,
! [X0: nat] :
( $true
= ( isPer @ list @ ( listStar @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
thf(f56,plain,
! [X0: nat] :
( $true
= ( isPer @ list @ ( listStar @ X0 ) ) ),
inference(fool_elimination,[status(thm)],[f55]) ).
thf(f55,plain,
! [X0: nat] : ( isPer @ list @ ( listStar @ X0 ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
! [X5: nat] : ( isPer @ list @ ( listStar @ X5 ) ),
file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p','\'listStar\'_is_per') ).
thf(f385,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ ( app @ zero @ X0 @ nil @ X1 ) ) ) )
| ( $true
= ( listStar @ X0 @ X2 @ X1 ) )
| ( $true
= ( sP18 @ ( isPer @ list @ ( listStar @ X0 ) ) ) )
| ( $true
= ( sP27 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( sP17 @ $true ) ) ),
inference(superposition,[status(thm)],[f139,f210]) ).
thf(f210,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) )
| ( $true
= ( sP27 @ ( listStar @ X0 @ X1 @ X1 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f155,f97]) ).
thf(f155,plain,
! [X0: nat,X1: list] :
( ( $true
= ( sP27 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) ) ),
inference(inequality_splitting,[status(thm)],[f109,f154]) ).
thf(f109,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) )
| ( $true
!= ( listStar @ X0 @ X1 @ X1 ) ) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
thf(f63,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) )
| ( $true
!= ( listStar @ X0 @ X1 @ X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f50]) ).
thf(f50,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ X1 @ X1 ) )
=> ( $true
= ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) ) ),
inference(fool_elimination,[status(thm)],[f49]) ).
thf(f49,plain,
! [X0: nat,X1: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) ),
inference(rectify,[status(thm)],[f15]) ).
thf(f15,axiom,
! [X6: nat,X2: list] :
( ( listStar @ X6 @ X2 @ X2 )
=> ( listStar @ ( plus @ zero @ X6 ) @ ( app @ zero @ X6 @ nil @ X2 ) @ X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',ax3) ).
thf(f139,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > X0 > $o,X4: X0] :
( ( $true
= ( sP17 @ ( X1 @ X3 @ X4 ) ) )
| ( $true
= ( sP18 @ ( isPer @ X0 @ X1 ) ) )
| ( $true
= ( sP16 @ ( X1 @ X2 @ X3 ) ) )
| ( ( X1 @ X2 @ X4 )
= $true ) ),
inference(inequality_splitting,[status(thm)],[f105,f138,f137,f136]) ).
thf(f105,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > X0 > $o,X4: X0] :
( ( ( X1 @ X2 @ X4 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true )
| ( ( X1 @ X3 @ X4 )
!= $true )
| ( ( isPer @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
thf(f85,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ! [X2: X0,X3: X0,X4: X0] :
( ( ( X1 @ X2 @ X4 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true )
| ( ( X1 @ X3 @ X4 )
!= $true ) )
& ! [X5: X0,X6: X0] :
( ( $true
!= ( X1 @ X5 @ X6 ) )
| ( $true
= ( X1 @ X6 @ X5 ) ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) )
& ( ( ( isPer @ X0 @ X1 )
= $true )
| ( ( $true
!= ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK2 @ X0 @ X1 ) ) )
& ( $true
= ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) ) )
& ( $true
= ( X1 @ ( sK1 @ X0 @ X1 ) @ ( sK2 @ X0 @ X1 ) ) ) )
| ( ( $true
= ( X1 @ ( sK3 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) ) )
& ( $true
!= ( X1 @ ( sK4 @ X0 @ X1 ) @ ( sK3 @ X0 @ X1 ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f82,f84,f83]) ).
thf(f83,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ? [X7: X0,X8: X0,X9: X0] :
( ( ( X1 @ X7 @ X9 )
!= $true )
& ( $true
= ( X1 @ X7 @ X8 ) )
& ( $true
= ( X1 @ X8 @ X9 ) ) )
=> ( ( $true
!= ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK2 @ X0 @ X1 ) ) )
& ( $true
= ( X1 @ ( sK0 @ X0 @ X1 ) @ ( sK1 @ X0 @ X1 ) ) )
& ( $true
= ( X1 @ ( sK1 @ X0 @ X1 ) @ ( sK2 @ X0 @ X1 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f84,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ? [X10: X0,X11: X0] :
( ( $true
= ( X1 @ X10 @ X11 ) )
& ( ( X1 @ X11 @ X10 )
!= $true ) )
=> ( ( $true
= ( X1 @ ( sK3 @ X0 @ X1 ) @ ( sK4 @ X0 @ X1 ) ) )
& ( $true
!= ( X1 @ ( sK4 @ X0 @ X1 ) @ ( sK3 @ X0 @ X1 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f82,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ! [X2: X0,X3: X0,X4: X0] :
( ( ( X1 @ X2 @ X4 )
= $true )
| ( ( X1 @ X2 @ X3 )
!= $true )
| ( ( X1 @ X3 @ X4 )
!= $true ) )
& ! [X5: X0,X6: X0] :
( ( $true
!= ( X1 @ X5 @ X6 ) )
| ( $true
= ( X1 @ X6 @ X5 ) ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) )
& ( ( ( isPer @ X0 @ X1 )
= $true )
| ? [X7: X0,X8: X0,X9: X0] :
( ( ( X1 @ X7 @ X9 )
!= $true )
& ( $true
= ( X1 @ X7 @ X8 ) )
& ( $true
= ( X1 @ X8 @ X9 ) ) )
| ? [X10: X0,X11: X0] :
( ( $true
= ( X1 @ X10 @ X11 ) )
& ( ( X1 @ X11 @ X10 )
!= $true ) ) ) ),
inference(rectify,[status(thm)],[f81]) ).
thf(f81,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ! [X4: X0,X5: X0,X6: X0] :
( ( $true
= ( X1 @ X4 @ X6 ) )
| ( ( X1 @ X4 @ X5 )
!= $true )
| ( $true
!= ( X1 @ X5 @ X6 ) ) )
& ! [X2: X0,X3: X0] :
( ( ( X1 @ X2 @ X3 )
!= $true )
| ( ( X1 @ X3 @ X2 )
= $true ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) )
& ( ( ( isPer @ X0 @ X1 )
= $true )
| ? [X4: X0,X5: X0,X6: X0] :
( ( $true
!= ( X1 @ X4 @ X6 ) )
& ( ( X1 @ X4 @ X5 )
= $true )
& ( $true
= ( X1 @ X5 @ X6 ) ) )
| ? [X2: X0,X3: X0] :
( ( ( X1 @ X2 @ X3 )
= $true )
& ( ( X1 @ X3 @ X2 )
!= $true ) ) ) ),
inference(flattening,[status(thm)],[f80]) ).
thf(f80,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ! [X4: X0,X5: X0,X6: X0] :
( ( $true
= ( X1 @ X4 @ X6 ) )
| ( ( X1 @ X4 @ X5 )
!= $true )
| ( $true
!= ( X1 @ X5 @ X6 ) ) )
& ! [X2: X0,X3: X0] :
( ( ( X1 @ X2 @ X3 )
!= $true )
| ( ( X1 @ X3 @ X2 )
= $true ) ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) )
& ( ( ( isPer @ X0 @ X1 )
= $true )
| ? [X4: X0,X5: X0,X6: X0] :
( ( $true
!= ( X1 @ X4 @ X6 ) )
& ( ( X1 @ X4 @ X5 )
= $true )
& ( $true
= ( X1 @ X5 @ X6 ) ) )
| ? [X2: X0,X3: X0] :
( ( ( X1 @ X2 @ X3 )
= $true )
& ( ( X1 @ X3 @ X2 )
!= $true ) ) ) ),
inference(nnf_transformation,[status(thm)],[f66]) ).
thf(f66,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ! [X4: X0,X5: X0,X6: X0] :
( ( $true
= ( X1 @ X4 @ X6 ) )
| ( ( X1 @ X4 @ X5 )
!= $true )
| ( $true
!= ( X1 @ X5 @ X6 ) ) )
& ! [X2: X0,X3: X0] :
( ( ( X1 @ X2 @ X3 )
!= $true )
| ( ( X1 @ X3 @ X2 )
= $true ) ) )
<=> ( ( isPer @ X0 @ X1 )
= $true ) ),
inference(flattening,[status(thm)],[f65]) ).
thf(f65,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( isPer @ X0 @ X1 )
= $true )
<=> ( ! [X2: X0,X3: X0] :
( ( ( X1 @ X2 @ X3 )
!= $true )
| ( ( X1 @ X3 @ X2 )
= $true ) )
& ! [X4: X0,X5: X0,X6: X0] :
( ( $true
= ( X1 @ X4 @ X6 ) )
| ( $true
!= ( X1 @ X5 @ X6 ) )
| ( ( X1 @ X4 @ X5 )
!= $true ) ) ) ),
inference(ennf_transformation,[status(thm)],[f28]) ).
thf(f28,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( isPer @ X0 @ X1 )
= $true )
<=> ( ! [X2: X0,X3: X0] :
( ( ( X1 @ X2 @ X3 )
= $true )
=> ( ( X1 @ X3 @ X2 )
= $true ) )
& ! [X4: X0,X5: X0,X6: X0] :
( ( ( X1 @ X4 @ X5 )
= $true )
=> ( ( $true
= ( X1 @ X5 @ X6 ) )
=> ( $true
= ( X1 @ X4 @ X6 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f27]) ).
thf(f27,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/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',is_per) ).
thf(f2412,plain,
( ( $true
= ( sP51 @ ( listStar @ sK12 @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) @ sK13 ) ) )
| ~ spl55_21 ),
inference(trivial_inequality_removal,[status(thm)],[f2411]) ).
thf(f2411,plain,
( ( $true = $false )
| ( $true
= ( sP51 @ ( listStar @ sK12 @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) @ sK13 ) ) )
| ~ spl55_21 ),
inference(forward_demodulation,[status(thm)],[f2410,f136]) ).
thf(f2410,plain,
( ( $true
= ( sP51 @ ( listStar @ sK12 @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) @ sK13 ) ) )
| ( $true
= ( sP16 @ $true ) )
| ~ spl55_21 ),
inference(superposition,[status(thm)],[f1784,f192]) ).
thf(f192,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ ( rev @ X0 @ X1 ) @ ( rev @ X0 @ X2 ) ) )
| ( $true
= ( sP51 @ ( listStar @ X0 @ X1 @ X2 ) ) ) ),
inference(inequality_splitting,[status(thm)],[f129,f191]) ).
thf(f129,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
!= ( listStar @ X0 @ X1 @ X2 ) )
| ( $true
= ( listStar @ X0 @ ( rev @ X0 @ X1 ) @ ( rev @ X0 @ X2 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
thf(f72,plain,
! [X0: nat,X1: list,X2: list] :
( ( $true
!= ( listStar @ X0 @ X1 @ X2 ) )
| ( $true
= ( listStar @ X0 @ ( rev @ X0 @ X1 ) @ ( rev @ X0 @ X2 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f42]) ).
thf(f42,plain,
! [X0: nat,X1: list,X2: list] :
( ( $true
= ( listStar @ X0 @ X1 @ X2 ) )
=> ( $true
= ( listStar @ X0 @ ( rev @ X0 @ X1 ) @ ( rev @ X0 @ X2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f41]) ).
thf(f41,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/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',rev_tp_ax) ).
thf(f1784,plain,
( ( $true
= ( sP16 @ ( listStar @ sK12 @ ( rev @ sK12 @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( rev @ sK12 @ sK13 ) ) ) )
| ~ spl55_21 ),
inference(avatar_component_clause,[status(thm)],[f1782]) ).
thf(f1782,definition,
( spl55_21
<=> ( $true
= ( sP16 @ ( listStar @ sK12 @ ( rev @ sK12 @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( rev @ sK12 @ sK13 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl55_21])],[avatar_definition]) ).
thf(f1814,plain,
~ spl55_20,
inference(avatar_contradiction_clause,[status(thm)],[f1813]) ).
thf(f1813,plain,
( $false
| ~ spl55_20 ),
inference(trivial_inequality_removal,[status(thm)],[f1812]) ).
thf(f1812,plain,
( ( $true = $false )
| ~ spl55_20 ),
inference(forward_demodulation,[status(thm)],[f1811,f191]) ).
thf(f1811,plain,
( ( $true
= ( sP51 @ $true ) )
| ~ spl55_20 ),
inference(forward_demodulation,[status(thm)],[f1810,f127]) ).
thf(f1810,plain,
( ( $true
= ( sP51 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ~ spl55_20 ),
inference(trivial_inequality_removal,[status(thm)],[f1809]) ).
thf(f1809,plain,
( ( $true
= ( sP51 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ( $true = $false )
| ~ spl55_20 ),
inference(forward_demodulation,[status(thm)],[f1801,f134]) ).
thf(f134,plain,
( ( sP15 @ $true )
= $false ),
introduced(definition,[new_symbols(naming,[sP15])],[inequality_splitting_name_introduction]) ).
thf(f1801,plain,
( ( $true
= ( sP15 @ $true ) )
| ( $true
= ( sP51 @ ( listStar @ sK12 @ sK13 @ sK13 ) ) )
| ~ spl55_20 ),
inference(superposition,[status(thm)],[f1780,f192]) ).
thf(f1780,plain,
( ( $true
= ( sP15 @ ( listStar @ sK12 @ ( rev @ sK12 @ sK13 ) @ ( rev @ sK12 @ sK13 ) ) ) )
| ~ spl55_20 ),
inference(avatar_component_clause,[status(thm)],[f1778]) ).
thf(f1778,definition,
( spl55_20
<=> ( $true
= ( sP15 @ ( listStar @ sK12 @ ( rev @ sK12 @ sK13 ) @ ( rev @ sK12 @ sK13 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl55_20])],[avatar_definition]) ).
thf(f1785,plain,
( spl55_20
| spl55_21 ),
inference(avatar_split_clause,[status(thm)],[f1776,f1782,f1778]) ).
thf(f1776,plain,
( ( $true
= ( sP16 @ ( listStar @ sK12 @ ( rev @ sK12 @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( rev @ sK12 @ sK13 ) ) ) )
| ( $true
= ( sP15 @ ( listStar @ sK12 @ ( rev @ sK12 @ sK13 ) @ ( rev @ sK12 @ sK13 ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1775]) ).
thf(f1775,plain,
( ( $true = $false )
| ( $true
= ( sP16 @ ( listStar @ sK12 @ ( rev @ sK12 @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( rev @ sK12 @ sK13 ) ) ) )
| ( $true
= ( sP15 @ ( listStar @ sK12 @ ( rev @ sK12 @ sK13 ) @ ( rev @ sK12 @ sK13 ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f1769,f189]) ).
thf(f189,plain,
( ( sP50 @ $true )
= $false ),
introduced(definition,[new_symbols(naming,[sP50])],[inequality_splitting_name_introduction]) ).
thf(f1769,plain,
( ( $true
= ( sP15 @ ( listStar @ sK12 @ ( rev @ sK12 @ sK13 ) @ ( rev @ sK12 @ sK13 ) ) ) )
| ( $true
= ( sP16 @ ( listStar @ sK12 @ ( rev @ sK12 @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( rev @ sK12 @ sK13 ) ) ) )
| ( $true
= ( sP50 @ $true ) ) ),
inference(superposition,[status(thm)],[f209,f712]) ).
thf(f712,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ X2 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f711]) ).
thf(f711,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ X1 ) ) )
| ( $true
= ( listStar @ X0 @ X2 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( $true = $false )
| ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f710,f137]) ).
thf(f710,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( sP17 @ $true ) )
| ( $true
= ( listStar @ X0 @ X2 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f709]) ).
thf(f709,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true = $false )
| ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ X1 ) ) )
| ( $true
= ( sP17 @ $true ) )
| ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( listStar @ X0 @ X2 @ ( app @ X0 @ zero @ X1 @ nil ) ) ) ),
inference(forward_demodulation,[status(thm)],[f708,f138]) ).
thf(f708,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP18 @ $true ) )
| ( $true
= ( sP17 @ $true ) )
| ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( listStar @ X0 @ X2 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ X1 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f706,f119]) ).
thf(f706,plain,
! [X2: list,X0: nat,X1: list] :
( ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( sP18 @ ( isPer @ list @ ( listStar @ X0 ) ) ) )
| ( $true
= ( listStar @ X0 @ X2 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( $true
= ( sP17 @ $true ) )
| ( $true
= ( sP16 @ ( listStar @ X0 @ X2 @ X1 ) ) ) ),
inference(superposition,[status(thm)],[f139,f377]) ).
thf(f377,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ X1 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f376]) ).
thf(f376,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ X1 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true = $false ) ),
inference(forward_demodulation,[status(thm)],[f375,f141]) ).
thf(f141,plain,
( ( sP20 @ $true )
= $false ),
introduced(definition,[new_symbols(naming,[sP20])],[inequality_splitting_name_introduction]) ).
thf(f375,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ X1 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( $true
= ( sP20 @ $true ) )
| ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f374,f119]) ).
thf(f374,plain,
! [X0: nat,X1: list] :
( ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( ( sP20 @ ( isPer @ list @ ( listStar @ X0 ) ) )
= $true )
| ( $true
= ( listStar @ X0 @ X1 @ ( app @ X0 @ zero @ X1 @ nil ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f373]) ).
thf(f373,plain,
! [X0: nat,X1: list] :
( ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( ( sP20 @ ( isPer @ list @ ( listStar @ X0 ) ) )
= $true )
| ( $true
= ( listStar @ X0 @ X1 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( $true = $false ) ),
inference(forward_demodulation,[status(thm)],[f367,f140]) ).
thf(f140,plain,
( ( sP19 @ $true )
= $false ),
introduced(definition,[new_symbols(naming,[sP19])],[inequality_splitting_name_introduction]) ).
thf(f367,plain,
! [X0: nat,X1: list] :
( ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( sP19 @ $true ) )
| ( $true
= ( listStar @ X0 @ X1 @ ( app @ X0 @ zero @ X1 @ nil ) ) )
| ( ( sP20 @ ( isPer @ list @ ( listStar @ X0 ) ) )
= $true ) ),
inference(superposition,[status(thm)],[f142,f207]) ).
thf(f207,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 ) )
| ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f135,f122]) ).
thf(f122,plain,
! [X0: nat] :
( ( plus @ X0 @ zero )
= X0 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
thf(f58,plain,
! [X0: nat] :
( ( plus @ X0 @ zero )
= X0 ),
inference(rectify,[status(thm)],[f19]) ).
thf(f19,axiom,
! [X10: nat] :
( ( plus @ X10 @ zero )
= X10 ),
file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',plus_zero_r) ).
thf(f135,plain,
! [X0: nat,X1: list] :
( ( $true
= ( sP15 @ ( listStar @ X0 @ X1 @ X1 ) ) )
| ( $true
= ( listStar @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 ) ) ),
inference(inequality_splitting,[status(thm)],[f96,f134]) ).
thf(f96,plain,
! [X0: nat,X1: list] :
( ( $true
!= ( listStar @ X0 @ X1 @ X1 ) )
| ( $true
= ( listStar @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 ) ) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
thf(f68,plain,
! [X0: nat,X1: list] :
( ( $true
!= ( listStar @ X0 @ X1 @ X1 ) )
| ( $true
= ( listStar @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f40]) ).
thf(f40,plain,
! [X0: nat,X1: list] :
( ( $true
= ( listStar @ X0 @ X1 @ X1 ) )
=> ( $true
= ( listStar @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 ) ) ),
inference(fool_elimination,[status(thm)],[f39]) ).
thf(f39,plain,
! [X0: nat,X1: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( listStar @ ( plus @ X0 @ zero ) @ ( app @ X0 @ zero @ X1 @ nil ) @ X1 ) ),
inference(rectify,[status(thm)],[f21]) ).
thf(f21,axiom,
! [X6: nat,X13: list] :
( ( listStar @ X6 @ X13 @ X13 )
=> ( listStar @ ( plus @ X6 @ zero ) @ ( app @ X6 @ zero @ X13 @ nil ) @ X13 ) ),
file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',list_app_nil) ).
thf(f142,plain,
! [X0: $tType,X1: X0 > X0 > $o,X6: X0,X5: X0] :
( ( $true
= ( sP19 @ ( X1 @ X5 @ X6 ) ) )
| ( $true
= ( X1 @ X6 @ X5 ) )
| ( $true
= ( sP20 @ ( isPer @ X0 @ X1 ) ) ) ),
inference(inequality_splitting,[status(thm)],[f104,f141,f140]) ).
thf(f104,plain,
! [X0: $tType,X1: X0 > X0 > $o,X6: X0,X5: X0] :
( ( $true
!= ( X1 @ X5 @ X6 ) )
| ( $true
= ( X1 @ X6 @ X5 ) )
| ( ( isPer @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
thf(f209,plain,
( $true
= ( sP50 @ ( listStar @ sK12 @ ( rev @ sK12 @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( app @ sK12 @ zero @ ( rev @ sK12 @ sK13 ) @ nil ) ) ) ),
inference(forward_demodulation,[status(thm)],[f190,f97]) ).
thf(f190,plain,
( $true
= ( sP50 @ ( listStar @ ( plus @ zero @ sK12 ) @ ( rev @ ( plus @ zero @ sK12 ) @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( app @ sK12 @ zero @ ( rev @ sK12 @ sK13 ) @ nil ) ) ) ),
inference(inequality_splitting,[status(thm)],[f126,f189]) ).
thf(f126,plain,
( $true
!= ( listStar @ ( plus @ zero @ sK12 ) @ ( rev @ ( plus @ zero @ sK12 ) @ ( app @ zero @ sK12 @ ( rev @ zero @ nil ) @ sK13 ) ) @ ( app @ sK12 @ zero @ ( rev @ sK12 @ sK13 ) @ nil ) ) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : DAT382^1 : TPTP v9.2.1. Released v9.2.0.
% 0.09/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Feb 24 06:18:29 EST 2026
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.23/0.45 ---- Original DTF file ---
% 0.23/0.45 thf(spec,logic,$$dhol).
% 0.23/0.45 %------------------------------------------------------------------------------
% 0.23/0.45 % File : DAT382^1 : TPTP v9.2.1. Released v9.2.0.
% 0.23/0.45 % Domain : Data Structures
% 0.23/0.45 % Problem : List involution lemma, base step
% 0.23/0.45 % Version : Especial.
% 0.23/0.45 % English : List involution lemma. The proof is by induction with a separate
% 0.23/0.45 % problem file for the base and step case (with multiple subcases)
% 0.23/0.45 % as well as the correct instantiation of the induction axiom for
% 0.23/0.45 % lists. The main file uses the conjectures of the other files as
% 0.23/0.45 % lemmas in order to prove the final result. To simplify proof
% 0.23/0.45 % search, the axioms in each problem file have been preselected.
% 0.23/0.45 % For the actual induction proof, it is sufficient to consider the
% 0.23/0.45 % "step" problem files.
% 0.23/0.45
% 0.23/0.45 % Refs : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.23/0.45 % : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.23/0.45 % : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.23/0.45 % Source : [Rot25]
% 0.23/0.45 % Names : ListReversalInvolutionLemma/list-rev-invol-lem-base.p [Rot25]
% 0.23/0.45
% 0.23/0.45 % Status : Theorem
% 0.23/0.45 % Rating : ? v9.2.0
% 0.23/0.45 % Syntax : Number of formulae : 24 ( 11 unt; 10 typ; 0 def)
% 0.23/0.45 % Number of atoms : 13 ( 13 equ; 0 cnn)
% 0.23/0.45 % Maximal formula atoms : 2 ( 0 avg)
% 0.23/0.45 % Number of connectives : 123 ( 3 ~; 0 |; 0 &; 113 @)
% 0.23/0.45 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.23/0.45 % Maximal formula depth : 12 ( 4 avg)
% 0.23/0.45 % Number of types : 3 ( 2 usr)
% 0.23/0.45 % Number of type decls : 10 ( 0 !>P; 4 !>D)
% 0.23/0.45 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.23/0.45 % Number of symbols : 9 ( 8 usr; 2 con; 0-4 aty)
% 0.23/0.45 % Number of variables : 36 ( 0 ^; 31 !; 0 ?; 36 :)
% 0.23/0.45 % ( 5 !>; 0 ?*; 0 @-; 0 @+)
% 0.23/0.45 % SPC : DH0_THM_EQU_NAR
% 0.23/0.45
% 0.23/0.45 % Comments :
% 0.23/0.45 %------------------------------------------------------------------------------
% 0.23/0.45 thf(elem_type,type,
% 0.23/0.45 elem: $tType ).
% 0.23/0.45
% 0.23/0.45 thf(nat_type,type,
% 0.23/0.45 nat: $tType ).
% 0.23/0.45
% 0.23/0.45 thf(zero_type,type,
% 0.23/0.45 zero: nat ).
% 0.23/0.45
% 0.23/0.45 thf(suc_type,type,
% 0.23/0.45 suc: nat > nat ).
% 0.23/0.45
% 0.23/0.45 thf(plus_type,type,
% 0.23/0.45 plus: nat > nat > nat ).
% 0.23/0.45
% 0.23/0.45 thf(list_type,type,
% 0.23/0.45 list: nat > $tType ).
% 0.23/0.45
% 0.23/0.45 thf(nil_type,type,
% 0.23/0.45 nil: list @ zero ).
% 0.23/0.45
% 0.23/0.45 thf(cons_type,type,
% 0.23/0.45 cons:
% 0.23/0.45 !>[N: nat] : ( elem > ( list @ N ) > ( list @ ( suc @ N ) ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(app_type,type,
% 0.23/0.45 app:
% 0.23/0.45 !>[N: nat,M: nat] : ( ( list @ N ) > ( list @ M ) > ( list @ ( plus @ N @ M ) ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(rev_type,type,
% 0.23/0.45 rev:
% 0.23/0.45 !>[N: nat] : ( ( list @ N ) > ( list @ N ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(list_induct,axiom,
% 0.23/0.45 ! [P: !>[N: nat] : ( ( list @ N ) > $o )] :
% 0.23/0.45 ( ( P @ zero @ nil )
% 0.23/0.45 => ( ! [M: nat,X: elem,Y: list @ M] :
% 0.23/0.45 ( ( P @ M @ Y )
% 0.23/0.45 => ( P @ ( suc @ M ) @ ( cons @ M @ X @ Y ) ) )
% 0.23/0.45 => ! [N: nat,X: list @ N] : ( P @ N @ X ) ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(peano1,axiom,
% 0.23/0.45 ! [N: nat] :
% 0.23/0.45 ( ( suc @ N )
% 0.23/0.45 != zero ) ).
% 0.23/0.45
% 0.23/0.45 thf(peano2,axiom,
% 0.23/0.45 ! [N: nat,M: nat] :
% 0.23/0.45 ( ( N != M )
% 0.23/0.45 => ( ( suc @ N )
% 0.23/0.45 != ( suc @ M ) ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(peano3,axiom,
% 0.23/0.45 ! [P: nat > $o] :
% 0.23/0.45 ( ( P @ zero )
% 0.23/0.45 => ( ! [M: nat] :
% 0.23/0.45 ( ( P @ M )
% 0.23/0.45 => ( P @ ( suc @ M ) ) )
% 0.23/0.45 => ! [N: nat] : ( P @ N ) ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(ax1,axiom,
% 0.23/0.45 ! [N: nat] :
% 0.23/0.45 ( ( plus @ zero @ N )
% 0.23/0.45 = N ) ).
% 0.23/0.45
% 0.23/0.45 thf(ax2,axiom,
% 0.23/0.45 ! [N: nat,M: nat] :
% 0.23/0.45 ( ( plus @ ( suc @ N ) @ M )
% 0.23/0.45 = ( suc @ ( plus @ N @ M ) ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(ax3,axiom,
% 0.23/0.45 ! [N: nat,X: list @ N] :
% 0.23/0.45 ( ( app @ zero @ N @ nil @ X )
% 0.23/0.45 = X ) ).
% 0.23/0.45
% 0.23/0.45 thf(ax4,axiom,
% 0.23/0.45 ! [N: nat,M: nat,X: elem,Y: list @ N,Z: list @ M] :
% 0.23/0.45 ( ( app @ ( suc @ N ) @ M @ ( cons @ N @ X @ Y ) @ Z )
% 0.23/0.45 = ( cons @ ( plus @ N @ M ) @ X @ ( app @ N @ M @ Y @ Z ) ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(ax5,axiom,
% 0.23/0.45 ( ( rev @ zero @ nil )
% 0.23/0.45 = nil ) ).
% 0.23/0.45
% 0.23/0.45 thf(ax6,axiom,
% 0.23/0.45 ! [N: nat,X: elem,Y: list @ N] :
% 0.23/0.45 ( ( rev @ ( suc @ N ) @ ( cons @ N @ X @ Y ) )
% 0.23/0.45 = ( app @ N @ ( suc @ zero ) @ ( rev @ N @ Y ) @ ( cons @ zero @ X @ nil ) ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(plus_zero_r,axiom,
% 0.23/0.45 ! [M: nat] :
% 0.23/0.45 ( ( plus @ M @ zero )
% 0.23/0.45 = M ) ).
% 0.23/0.45
% 0.23/0.45 thf(plus1r,axiom,
% 0.23/0.45 ! [N: nat] :
% 0.23/0.45 ( ( suc @ N )
% 0.23/0.45 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 0.23/0.45
% 0.23/0.45 thf(list_app_nil,axiom,
% 0.23/0.45 ! [N: nat,L: list @ N] :
% 0.23/0.45 ( ( app @ N @ zero @ L @ nil )
% 0.23/0.45 = L ) ).
% 0.23/0.45
% 0.23/0.45 thf(list_rev_invol_lem_base,conjecture,
% 0.23/0.45 ! [M2: nat,L2: list @ M2] :
% 0.23/0.45 ( ( rev @ ( plus @ zero @ M2 ) @ ( app @ zero @ M2 @ ( rev @ zero @ nil ) @ L2 ) )
% 0.23/0.45 = ( app @ M2 @ zero @ ( rev @ M2 @ L2 ) @ nil ) ) ).
% 0.23/0.45
% 0.23/0.45 %------------------------------------------------------------------------------
% 0.23/0.45 ------------------------
% 1.38/1.19 ---- Embedded in THF ---
% 1.38/1.19 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.38/1.19 %%% Generated on Tue Feb 24 06:18:30 EST 2026
% 1.38/1.19 %%% using '$$dhol' embedding, version 1.3.0.
% 1.38/1.19 %%% Logic specification used:
% 1.38/1.19 %%% thf(spec, logic, $$dhol).
% 1.38/1.19
% 1.38/1.19 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2DTF17762.p
% See solution above
% 1.38/1.19 ------------------------
% 1.55/1.20 ---- Cleaned THF ---
% 1.55/1.20 thf(is_per_type,type,
% 1.55/1.20 isPer:
% 1.55/1.20 !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.55/1.20
% 1.55/1.20 thf(is_per,definition,
% 1.55/1.20 ! [A: $tType,AStar: A > A > $o] :
% 1.55/1.20 ( ( isPer @ A @ AStar )
% 1.55/1.20 <=> ( ! [X: A,Y: A] :
% 1.55/1.20 ( ( AStar @ X @ Y )
% 1.55/1.20 => ( AStar @ Y @ X ) )
% 1.55/1.20 & ! [X: A,Y: A,Z: A] :
% 1.55/1.20 ( ( AStar @ X @ Y )
% 1.55/1.20 => ( ( AStar @ Y @ Z )
% 1.55/1.20 => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(elem_type,type,
% 1.55/1.20 elem: $tType ).
% 1.55/1.20
% 1.55/1.20 thf(elemStar,type,
% 1.55/1.20 elemStar: elem > elem > $o ).
% 1.55/1.20
% 1.55/1.20 thf(elemStar_is_eq,axiom,
% 1.55/1.20 ! [X: elem,Y: elem] :
% 1.55/1.20 ( ( elemStar @ X @ Y )
% 1.55/1.20 <=> ( X = Y ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(nat_type,type,
% 1.55/1.20 nat: $tType ).
% 1.55/1.20
% 1.55/1.20 thf(natStar,type,
% 1.55/1.20 natStar: nat > nat > $o ).
% 1.55/1.20
% 1.55/1.20 thf(natStar_is_eq,axiom,
% 1.55/1.20 ! [X: nat,Y: nat] :
% 1.55/1.20 ( ( natStar @ X @ Y )
% 1.55/1.20 <=> ( X = Y ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(zero_type,type,
% 1.55/1.20 zero: nat ).
% 1.55/1.20
% 1.55/1.20 thf(suc_type,type,
% 1.55/1.20 suc: nat > nat ).
% 1.55/1.20
% 1.55/1.20 thf(plus_type,type,
% 1.55/1.20 plus: nat > nat > nat ).
% 1.55/1.20
% 1.55/1.20 thf(list_type,type,
% 1.55/1.20 list: $tType ).
% 1.55/1.20
% 1.55/1.20 thf(listStar,type,
% 1.55/1.20 listStar: nat > list > list > $o ).
% 1.55/1.20
% 1.55/1.20 thf('\'listStar\'_is_per',axiom,
% 1.55/1.20 ! [C: nat] : ( isPer @ list @ ( listStar @ C ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(nil_type,type,
% 1.55/1.20 nil: list ).
% 1.55/1.20
% 1.55/1.20 thf(nil_tp_ax,axiom,
% 1.55/1.20 listStar @ zero @ nil @ nil ).
% 1.55/1.20
% 1.55/1.20 thf(cons_type,type,
% 1.55/1.20 cons: nat > elem > list > list ).
% 1.55/1.20
% 1.55/1.20 thf(cons_tp_ax,axiom,
% 1.55/1.20 ! [N: nat,D: elem,D0: list,D0_prime: list] :
% 1.55/1.20 ( ( listStar @ N @ D0 @ D0_prime )
% 1.55/1.20 => ( listStar @ ( suc @ N ) @ ( cons @ N @ D @ D0 ) @ ( cons @ N @ D @ D0_prime ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(app_type,type,
% 1.55/1.20 app: nat > nat > list > list > list ).
% 1.55/1.20
% 1.55/1.20 thf(app_tp_ax,axiom,
% 1.55/1.20 ! [N: nat,M: nat,D: list,D_prime: list] :
% 1.55/1.20 ( ( listStar @ N @ D @ D_prime )
% 1.55/1.20 => ! [D0: list,D0_prime: list] :
% 1.55/1.20 ( ( listStar @ M @ D0 @ D0_prime )
% 1.55/1.20 => ( listStar @ ( plus @ N @ M ) @ ( app @ N @ M @ D @ D0 ) @ ( app @ N @ M @ D_prime @ D0_prime ) ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(rev_type,type,
% 1.55/1.20 rev: nat > list > list ).
% 1.55/1.20
% 1.55/1.20 thf(rev_tp_ax,axiom,
% 1.55/1.20 ! [N: nat,D: list,D_prime: list] :
% 1.55/1.20 ( ( listStar @ N @ D @ D_prime )
% 1.55/1.20 => ( listStar @ N @ ( rev @ N @ D ) @ ( rev @ N @ D_prime ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(list_induct,axiom,
% 1.55/1.20 ! [P: nat > list > $o] :
% 1.55/1.20 ( ! [N: nat,D: list,D_prime: list] :
% 1.55/1.20 ( ( listStar @ N @ D @ D_prime )
% 1.55/1.20 => ( ( P @ N @ D )
% 1.55/1.20 = ( P @ N @ D_prime ) ) )
% 1.55/1.20 => ( ( P @ zero @ nil )
% 1.55/1.20 => ( ! [M: nat,X: elem,Y: list] :
% 1.55/1.20 ( ( listStar @ M @ Y @ Y )
% 1.55/1.20 => ( ( P @ M @ Y )
% 1.55/1.20 => ( P @ ( suc @ M ) @ ( cons @ M @ X @ Y ) ) ) )
% 1.55/1.20 => ! [N: nat,X: list] :
% 1.55/1.20 ( ( listStar @ N @ X @ X )
% 1.55/1.20 => ( P @ N @ X ) ) ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(peano1,axiom,
% 1.55/1.20 ! [N: nat] :
% 1.55/1.20 ( ( suc @ N )
% 1.55/1.20 != zero ) ).
% 1.55/1.20
% 1.55/1.20 thf(peano2,axiom,
% 1.55/1.20 ! [N: nat,M: nat] :
% 1.55/1.20 ( ( N != M )
% 1.55/1.20 => ( ( suc @ N )
% 1.55/1.20 != ( suc @ M ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(peano3,axiom,
% 1.55/1.20 ! [P: nat > $o] :
% 1.55/1.20 ( ( P @ zero )
% 1.55/1.20 => ( ! [M: nat] :
% 1.55/1.20 ( ( P @ M )
% 1.55/1.20 => ( P @ ( suc @ M ) ) )
% 1.55/1.20 => ! [N: nat] : ( P @ N ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(ax1,axiom,
% 1.55/1.20 ! [N: nat] :
% 1.55/1.20 ( ( plus @ zero @ N )
% 1.55/1.20 = N ) ).
% 1.55/1.20
% 1.55/1.20 thf(ax2,axiom,
% 1.55/1.20 ! [N: nat,M: nat] :
% 1.55/1.20 ( ( plus @ ( suc @ N ) @ M )
% 1.55/1.20 = ( suc @ ( plus @ N @ M ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(ax3,axiom,
% 1.55/1.20 ! [N: nat,X: list] :
% 1.55/1.20 ( ( listStar @ N @ X @ X )
% 1.55/1.20 => ( listStar @ ( plus @ zero @ N ) @ ( app @ zero @ N @ nil @ X ) @ X ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(ax4,axiom,
% 1.55/1.20 ! [N: nat,M: nat,X: elem,Y: list,Z: list] :
% 1.55/1.20 ( ( listStar @ N @ Y @ Y )
% 1.55/1.20 => ( ( listStar @ M @ Z @ Z )
% 1.55/1.20 => ( listStar @ ( plus @ ( suc @ N ) @ M ) @ ( app @ ( suc @ N ) @ M @ ( cons @ N @ X @ Y ) @ Z ) @ ( cons @ ( plus @ N @ M ) @ X @ ( app @ N @ M @ Y @ Z ) ) ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(ax5,axiom,
% 1.55/1.20 listStar @ zero @ ( rev @ zero @ nil ) @ nil ).
% 1.55/1.20
% 1.55/1.20 thf(ax6,axiom,
% 1.55/1.20 ! [N: nat,X: elem,Y: list] :
% 1.55/1.20 ( ( listStar @ N @ Y @ Y )
% 1.55/1.20 => ( listStar @ ( suc @ N ) @ ( rev @ ( suc @ N ) @ ( cons @ N @ X @ Y ) ) @ ( app @ N @ ( suc @ zero ) @ ( rev @ N @ Y ) @ ( cons @ zero @ X @ nil ) ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(plus_zero_r,axiom,
% 1.55/1.20 ! [M: nat] :
% 1.55/1.20 ( ( plus @ M @ zero )
% 1.55/1.20 = M ) ).
% 1.55/1.20
% 1.55/1.20 thf(plus1r,axiom,
% 1.55/1.20 ! [N: nat] :
% 1.55/1.20 ( ( suc @ N )
% 1.55/1.20 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(list_app_nil,axiom,
% 1.55/1.20 ! [N: nat,L: list] :
% 1.55/1.20 ( ( listStar @ N @ L @ L )
% 1.55/1.20 => ( listStar @ ( plus @ N @ zero ) @ ( app @ N @ zero @ L @ nil ) @ L ) ) ).
% 1.55/1.20
% 1.55/1.20 thf(list_rev_invol_lem_base,conjecture,
% 1.55/1.20 ! [M2: nat,L2: list] :
% 1.55/1.20 ( ( listStar @ M2 @ L2 @ L2 )
% 1.55/1.20 => ( listStar @ ( plus @ zero @ M2 ) @ ( rev @ ( plus @ zero @ M2 ) @ ( app @ zero @ M2 @ ( rev @ zero @ nil ) @ L2 ) ) @ ( app @ M2 @ zero @ ( rev @ M2 @ L2 ) @ nil ) ) ) ).
% 1.55/1.20 ------------------------
% 1.55/1.21 % (17866)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/183Mi)
% 1.55/1.22 % (17869)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/2Mi)
% 1.55/1.22 % (17867)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_17762 for (2999ds/4Mi)
% 1.55/1.22 % (17868)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_17762 for (2999ds/27Mi)
% 1.55/1.22 % (17870)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_17762 for (2999ds/2Mi)
% 1.55/1.22 % (17872)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/18Mi)
% 1.55/1.22 % (17871)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_17762 for (2999ds/275Mi)
% 1.55/1.22 % (17869)Instruction limit reached!
% 1.55/1.22 % (17869)------------------------------
% 1.55/1.22 % (17869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.22 % (17869)Termination reason: Unknown
% 1.55/1.22 % (17870)Instruction limit reached!
% 1.55/1.22 % (17870)------------------------------
% 1.55/1.22 % (17870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.22 % (17870)Termination reason: Unknown
% 1.55/1.22 % (17870)Termination phase: shuffling
% 1.55/1.22
% 1.55/1.22 % (17870)Memory used [KB]: 1023
% 1.55/1.22 % (17870)Time elapsed: 0.002 s
% 1.55/1.22 % (17870)Instructions burned: 2 (million)
% 1.55/1.22 % (17870)------------------------------
% 1.55/1.22 % (17870)------------------------------
% 1.55/1.22 % (17869)Termination phase: shuffling
% 1.55/1.22
% 1.55/1.22 % (17869)Memory used [KB]: 1023
% 1.55/1.22 % (17869)Time elapsed: 0.002 s
% 1.55/1.22 % (17869)Instructions burned: 2 (million)
% 1.55/1.22 % (17869)------------------------------
% 1.55/1.22 % (17869)------------------------------
% 1.55/1.22 % (17867)Instruction limit reached!
% 1.55/1.22 % (17867)------------------------------
% 1.55/1.22 % (17867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.22 % (17867)Termination reason: Unknown
% 1.55/1.22 % (17867)Termination phase: shuffling
% 1.55/1.22
% 1.55/1.22 % (17867)Memory used [KB]: 1023
% 1.55/1.22 % (17867)Time elapsed: 0.003 s
% 1.55/1.22 % (17867)Instructions burned: 4 (million)
% 1.55/1.22 % (17867)------------------------------
% 1.55/1.22 % (17867)------------------------------
% 1.55/1.22 % (17871)Refutation not found, incomplete strategy
% 1.55/1.22 % (17871)------------------------------
% 1.55/1.22 % (17871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.22 % (17871)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.22
% 1.55/1.22
% 1.55/1.22 % (17871)Memory used [KB]: 5628
% 1.55/1.22 % (17871)Time elapsed: 0.007 s
% 1.55/1.22 % (17871)Instructions burned: 11 (million)
% 1.55/1.22 % (17871)------------------------------
% 1.55/1.22 % (17871)------------------------------
% 1.55/1.23 % (17872)Instruction limit reached!
% 1.55/1.23 % (17872)------------------------------
% 1.55/1.23 % (17872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.23 % (17872)Termination reason: Unknown
% 1.55/1.23 % (17872)Termination phase: Saturation
% 1.55/1.23
% 1.55/1.23 % (17872)Memory used [KB]: 5628
% 1.55/1.23 % (17872)Time elapsed: 0.010 s
% 1.55/1.23 % (17872)Instructions burned: 18 (million)
% 1.55/1.23 % (17872)------------------------------
% 1.55/1.23 % (17872)------------------------------
% 1.55/1.23 % (17868)Instruction limit reached!
% 1.55/1.23 % (17868)------------------------------
% 1.55/1.23 % (17868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.23 % (17868)Termination reason: Unknown
% 1.55/1.23 % (17868)Termination phase: Saturation
% 1.55/1.23
% 1.55/1.23 % (17868)Memory used [KB]: 5756
% 1.55/1.23 % (17868)Time elapsed: 0.016 s
% 1.55/1.23 % (17868)Instructions burned: 28 (million)
% 1.55/1.23 % (17868)------------------------------
% 1.55/1.23 % (17868)------------------------------
% 1.55/1.23 % (17873)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/3Mi)
% 1.55/1.23 % (17874)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_17762 for (2999ds/37Mi)
% 1.55/1.23 % (17875)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_17762 for (2999ds/15Mi)
% 1.55/1.24 % (17873)Instruction limit reached!
% 1.55/1.24 % (17873)------------------------------
% 1.55/1.24 % (17873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.24 % (17873)Termination reason: Unknown
% 1.55/1.24 % (17873)Termination phase: Property scanning
% 1.55/1.24
% 1.55/1.24 % (17873)Memory used [KB]: 1023
% 1.55/1.24 % (17873)Time elapsed: 0.003 s
% 1.55/1.24 % (17873)Instructions burned: 4 (million)
% 1.55/1.24 % (17873)------------------------------
% 1.55/1.24 % (17873)------------------------------
% 1.55/1.24 % (17876)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_17762 for (2999ds/3Mi)
% 1.55/1.24 % (17876)Instruction limit reached!
% 1.55/1.24 % (17876)------------------------------
% 1.55/1.24 % (17876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.24 % (17876)Termination reason: Unknown
% 1.55/1.24 % (17876)Termination phase: Property scanning
% 1.55/1.24
% 1.55/1.24 % (17876)Memory used [KB]: 1023
% 1.55/1.24 % (17876)Time elapsed: 0.003 s
% 1.55/1.24 % (17876)Instructions burned: 4 (million)
% 1.55/1.24 % (17876)------------------------------
% 1.55/1.24 % (17876)------------------------------
% 1.55/1.24 % (17877)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_17762 for (2999ds/1041Mi)
% 1.55/1.24 % (17875)Instruction limit reached!
% 1.55/1.24 % (17875)------------------------------
% 1.55/1.24 % (17875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.24 % (17875)Termination reason: Unknown
% 1.55/1.24 % (17875)Termination phase: Saturation
% 1.55/1.24
% 1.55/1.24 % (17875)Memory used [KB]: 5756
% 1.55/1.24 % (17875)Time elapsed: 0.009 s
% 1.55/1.24 % (17875)Instructions burned: 15 (million)
% 1.55/1.24 % (17875)------------------------------
% 1.55/1.24 % (17875)------------------------------
% 1.55/1.25 % (17878)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/7Mi)
% 1.55/1.25 % (17879)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/16Mi)
% 1.55/1.25 % (17874)Instruction limit reached!
% 1.55/1.25 % (17874)------------------------------
% 1.55/1.25 % (17874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.25 % (17874)Termination reason: Unknown
% 1.55/1.25 % (17874)Termination phase: Saturation
% 1.55/1.25 % (17878)Instruction limit reached!
% 1.55/1.25 % (17878)------------------------------
% 1.55/1.25 % (17878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.25 % (17878)Termination reason: Unknown
% 1.55/1.25 % (17878)Termination phase: Property scanning
% 1.55/1.25
% 1.55/1.25 % (17878)Memory used [KB]: 1023
% 1.55/1.25 % (17878)Time elapsed: 0.005 s
% 1.55/1.25 % (17878)Instructions burned: 8 (million)
% 1.55/1.25 % (17878)------------------------------
% 1.55/1.25 % (17878)------------------------------
% 1.55/1.25
% 1.55/1.25 % (17874)Memory used [KB]: 5756
% 1.55/1.25 % (17874)Time elapsed: 0.019 s
% 1.55/1.25 % (17874)Instructions burned: 38 (million)
% 1.55/1.25 % (17874)------------------------------
% 1.55/1.25 % (17874)------------------------------
% 1.55/1.26 % (17881)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_17762 for (2999ds/3Mi)
% 1.55/1.26 % (17881)Instruction limit reached!
% 1.55/1.26 % (17881)------------------------------
% 1.55/1.26 % (17881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.26 % (17881)Termination reason: Unknown
% 1.55/1.26 % (17881)Termination phase: Property scanning
% 1.55/1.26
% 1.55/1.26 % (17881)Memory used [KB]: 1023
% 1.55/1.26 % (17881)Time elapsed: 0.002 s
% 1.55/1.26 % (17881)Instructions burned: 4 (million)
% 1.55/1.26 % (17881)------------------------------
% 1.55/1.26 % (17881)------------------------------
% 1.55/1.26 % (17880)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_17762 for (2999ds/3Mi)
% 1.55/1.26 % (17879)Instruction limit reached!
% 1.55/1.26 % (17879)------------------------------
% 1.55/1.26 % (17879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.26 % (17879)Termination reason: Unknown
% 1.55/1.26 % (17879)Termination phase: Saturation
% 1.55/1.26
% 1.55/1.26 % (17879)Memory used [KB]: 5628
% 1.55/1.26 % (17879)Time elapsed: 0.009 s
% 1.55/1.26 % (17879)Instructions burned: 16 (million)
% 1.55/1.26 % (17879)------------------------------
% 1.55/1.26 % (17879)------------------------------
% 1.55/1.26 % (17880)Instruction limit reached!
% 1.55/1.26 % (17880)------------------------------
% 1.55/1.26 % (17880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.26 % (17880)Termination reason: Unknown
% 1.55/1.26 % (17880)Termination phase: Property scanning
% 1.55/1.26
% 1.55/1.26 % (17880)Memory used [KB]: 1023
% 1.55/1.26 % (17880)Time elapsed: 0.003 s
% 1.55/1.26 % (17880)Instructions burned: 4 (million)
% 1.55/1.26 % (17880)------------------------------
% 1.55/1.26 % (17880)------------------------------
% 1.55/1.27 % (17885)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/4Mi)
% 1.55/1.27 % (17883)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/3Mi)
% 1.55/1.27 % (17885)Instruction limit reached!
% 1.55/1.27 % (17885)------------------------------
% 1.55/1.27 % (17885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.27 % (17885)Termination reason: Unknown
% 1.55/1.27 % (17885)Termination phase: Property scanning
% 1.55/1.27
% 1.55/1.27 % (17885)Memory used [KB]: 1023
% 1.55/1.27 % (17885)Time elapsed: 0.002 s
% 1.55/1.27 % (17885)Instructions burned: 4 (million)
% 1.55/1.27 % (17885)------------------------------
% 1.55/1.27 % (17885)------------------------------
% 1.55/1.27 % (17882)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/7Mi)
% 1.55/1.27 % (17866)Instruction limit reached!
% 1.55/1.27 % (17866)------------------------------
% 1.55/1.27 % (17866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.27 % (17866)Termination reason: Unknown
% 1.55/1.27 % (17866)Termination phase: Saturation
% 1.55/1.27
% 1.55/1.27 % (17866)Memory used [KB]: 6396
% 1.55/1.27 % (17866)Time elapsed: 0.059 s
% 1.55/1.27 % (17866)Instructions burned: 185 (million)
% 1.55/1.27 % (17866)------------------------------
% 1.55/1.27 % (17866)------------------------------
% 1.55/1.27 % (17883)Instruction limit reached!
% 1.55/1.27 % (17883)------------------------------
% 1.55/1.27 % (17883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.27 % (17883)Termination reason: Unknown
% 1.55/1.27 % (17883)Termination phase: shuffling
% 1.55/1.27
% 1.55/1.27 % (17883)Memory used [KB]: 1023
% 1.55/1.27 % (17883)Time elapsed: 0.003 s
% 1.55/1.27 % (17883)Instructions burned: 4 (million)
% 1.55/1.27 % (17883)------------------------------
% 1.55/1.27 % (17883)------------------------------
% 1.55/1.27 % (17882)Instruction limit reached!
% 1.55/1.27 % (17882)------------------------------
% 1.55/1.27 % (17882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.27 % (17882)Termination reason: Unknown
% 1.55/1.27 % (17882)Termination phase: Property scanning
% 1.55/1.27
% 1.55/1.27 % (17882)Memory used [KB]: 1023
% 1.55/1.27 % (17882)Time elapsed: 0.005 s
% 1.55/1.27 % (17882)Instructions burned: 8 (million)
% 1.55/1.27 % (17882)------------------------------
% 1.55/1.27 % (17882)------------------------------
% 1.55/1.28 % (17886)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/18Mi)
% 1.55/1.28 % (17888)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/6Mi)
% 1.55/1.28 % (17887)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/710Mi)
% 1.55/1.28 % (17888)Instruction limit reached!
% 1.55/1.28 % (17888)------------------------------
% 1.55/1.28 % (17888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.28 % (17888)Termination reason: Unknown
% 1.55/1.28 % (17888)Termination phase: Property scanning
% 1.55/1.28
% 1.55/1.28 % (17888)Memory used [KB]: 1023
% 1.55/1.28 % (17888)Time elapsed: 0.003 s
% 1.55/1.28 % (17888)Instructions burned: 8 (million)
% 1.55/1.28 % (17888)------------------------------
% 1.55/1.28 % (17888)------------------------------
% 1.55/1.28 % (17889)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_17762 for (2999ds/902Mi)
% 1.55/1.28 % (17886)Instruction limit reached!
% 1.55/1.28 % (17886)------------------------------
% 1.55/1.28 % (17886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.28 % (17886)Termination reason: Unknown
% 1.55/1.28 % (17886)Termination phase: Saturation
% 1.55/1.28
% 1.55/1.28 % (17886)Memory used [KB]: 5628
% 1.55/1.28 % (17886)Time elapsed: 0.010 s
% 1.55/1.28 % (17886)Instructions burned: 18 (million)
% 1.55/1.28 % (17886)------------------------------
% 1.55/1.28 % (17886)------------------------------
% 1.55/1.29 % (17890)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_17762 for (2999ds/21Mi)
% 1.55/1.29 % (17891)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/5Mi)
% 1.55/1.29 % (17891)Instruction limit reached!
% 1.55/1.29 % (17891)------------------------------
% 1.55/1.29 % (17891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.29 % (17891)Termination reason: Unknown
% 1.55/1.29 % (17891)Termination phase: shuffling
% 1.55/1.29
% 1.55/1.29 % (17891)Memory used [KB]: 1023
% 1.55/1.29 % (17891)Time elapsed: 0.002 s
% 1.55/1.29 % (17891)Instructions burned: 5 (million)
% 1.55/1.29 % (17891)------------------------------
% 1.55/1.29 % (17891)------------------------------
% 1.55/1.29 % (17892)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_17762 for (2999ds/6Mi)
% 1.55/1.30 % (17890)Instruction limit reached!
% 1.55/1.30 % (17890)------------------------------
% 1.55/1.30 % (17890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.30 % (17890)Termination reason: Unknown
% 1.55/1.30 % (17890)Termination phase: Saturation
% 1.55/1.30
% 1.55/1.30 % (17890)Memory used [KB]: 5628
% 1.55/1.30 % (17890)Time elapsed: 0.012 s
% 1.55/1.30 % (17890)Instructions burned: 21 (million)
% 1.55/1.30 % (17890)------------------------------
% 1.55/1.30 % (17890)------------------------------
% 1.55/1.30 % (17892)Instruction limit reached!
% 1.55/1.30 % (17892)------------------------------
% 1.55/1.30 % (17892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.30 % (17892)Termination reason: Unknown
% 1.55/1.30 % (17892)Termination phase: Property scanning
% 1.55/1.30
% 1.55/1.30 % (17892)Memory used [KB]: 1023
% 1.55/1.30 % (17892)Time elapsed: 0.004 s
% 1.55/1.30 % (17892)Instructions burned: 6 (million)
% 1.55/1.30 % (17892)------------------------------
% 1.55/1.30 % (17892)------------------------------
% 1.55/1.30 % (17894)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_17762 for (2999ds/779Mi)
% 1.55/1.30 % (17893)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/377Mi)
% 1.55/1.31 % (17895)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_17762 for (2999ds/19Mi)
% 1.55/1.31 % (17896)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_17762 for (2999ds/879Mi)
% 1.55/1.31 % (17895)Instruction limit reached!
% 1.55/1.31 % (17895)------------------------------
% 1.55/1.31 % (17895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.31 % (17895)Termination reason: Unknown
% 1.55/1.31 % (17895)Termination phase: Saturation
% 1.55/1.31
% 1.55/1.31 % (17895)Memory used [KB]: 5628
% 1.55/1.31 % (17895)Time elapsed: 0.007 s
% 1.55/1.31 % (17895)Instructions burned: 19 (million)
% 1.55/1.31 % (17895)------------------------------
% 1.55/1.31 % (17895)------------------------------
% 1.55/1.32 % (17897)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_17762 for (2998ds/17Mi)
% 1.55/1.33 % (17897)Instruction limit reached!
% 1.55/1.33 % (17897)------------------------------
% 1.55/1.33 % (17897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.33 % (17897)Termination reason: Unknown
% 1.55/1.33 % (17897)Termination phase: Saturation
% 1.55/1.33
% 1.55/1.33 % (17897)Memory used [KB]: 5756
% 1.55/1.33 % (17897)Time elapsed: 0.007 s
% 1.55/1.33 % (17897)Instructions burned: 18 (million)
% 1.55/1.33 % (17897)------------------------------
% 1.55/1.33 % (17897)------------------------------
% 1.55/1.34 % (17898)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_17762 for (2998ds/3Mi)
% 1.55/1.34 % (17898)Instruction limit reached!
% 1.55/1.34 % (17898)------------------------------
% 1.55/1.34 % (17898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.34 % (17898)Termination reason: Unknown
% 1.55/1.34 % (17898)Termination phase: Property scanning
% 1.55/1.34
% 1.55/1.34 % (17898)Memory used [KB]: 1023
% 1.55/1.34 % (17898)Time elapsed: 0.002 s
% 1.55/1.34 % (17898)Instructions burned: 4 (million)
% 1.55/1.34 % (17898)------------------------------
% 1.55/1.34 % (17898)------------------------------
% 1.55/1.35 % (17899)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_17762 for (2998ds/30Mi)
% 1.55/1.36 % (17899)Instruction limit reached!
% 1.55/1.36 % (17899)------------------------------
% 1.55/1.36 % (17899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.36 % (17899)Termination reason: Unknown
% 1.55/1.36 % (17899)Termination phase: Saturation
% 1.55/1.36
% 1.55/1.36 % (17899)Memory used [KB]: 5756
% 1.55/1.36 % (17899)Time elapsed: 0.011 s
% 1.55/1.36 % (17899)Instructions burned: 32 (million)
% 1.55/1.36 % (17899)------------------------------
% 1.55/1.36 % (17899)------------------------------
% 1.55/1.37 % (17901)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_17762 for (2998ds/127Mi)
% 1.55/1.41 % (17901)Instruction limit reached!
% 1.55/1.41 % (17901)------------------------------
% 1.55/1.41 % (17901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.41 % (17901)Termination reason: Unknown
% 1.55/1.41 % (17901)Termination phase: Saturation
% 1.55/1.41
% 1.55/1.41 % (17901)Memory used [KB]: 6268
% 1.55/1.41 % (17901)Time elapsed: 0.041 s
% 1.55/1.41 % (17901)Instructions burned: 130 (million)
% 1.55/1.41 % (17901)------------------------------
% 1.55/1.41 % (17901)------------------------------
% 1.55/1.42 % (17902)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_17762 for (2998ds/100Mi)
% 1.55/1.45 % (17902)Instruction limit reached!
% 1.55/1.45 % (17902)------------------------------
% 1.55/1.45 % (17902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.45 % (17902)Termination reason: Unknown
% 1.55/1.45 % (17902)Termination phase: Saturation
% 1.55/1.45
% 1.55/1.45 % (17902)Memory used [KB]: 6140
% 1.55/1.45 % (17902)Time elapsed: 0.032 s
% 1.55/1.45 % (17902)Instructions burned: 101 (million)
% 1.55/1.45 % (17902)------------------------------
% 1.55/1.45 % (17902)------------------------------
% 1.55/1.46 % (17903)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_17762 for (2997ds/3Mi)
% 1.55/1.46 % (17903)Instruction limit reached!
% 1.55/1.46 % (17903)------------------------------
% 1.55/1.46 % (17903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.46 % (17903)Termination reason: Unknown
% 1.55/1.46 % (17903)Termination phase: shuffling
% 1.55/1.46
% 1.55/1.46 % (17903)Memory used [KB]: 1023
% 1.55/1.46 % (17903)Time elapsed: 0.002 s
% 1.55/1.46 % (17903)Instructions burned: 4 (million)
% 1.55/1.46 % (17903)------------------------------
% 1.55/1.46 % (17903)------------------------------
% 1.55/1.47 % (17904)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_17762 for (2997ds/20Mi)
% 1.55/1.47 % (17904)Instruction limit reached!
% 1.55/1.47 % (17904)------------------------------
% 1.55/1.47 % (17904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.47 % (17904)Termination reason: Unknown
% 1.55/1.47 % (17904)Termination phase: Saturation
% 1.55/1.47
% 1.55/1.47 % (17904)Memory used [KB]: 5628
% 1.55/1.47 % (17904)Time elapsed: 0.007 s
% 1.55/1.47 % (17904)Instructions burned: 20 (million)
% 1.55/1.47 % (17904)------------------------------
% 1.55/1.47 % (17904)------------------------------
% 1.55/1.48 % (17905)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_17762 for (2997ds/86Mi)
% 1.55/1.49 % (17893)Instruction limit reached!
% 1.55/1.49 % (17893)------------------------------
% 1.55/1.49 % (17893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.49 % (17893)Termination reason: Unknown
% 1.55/1.49 % (17893)Termination phase: Saturation
% 1.55/1.49
% 1.55/1.49 % (17893)Memory used [KB]: 6268
% 1.55/1.49 % (17893)Time elapsed: 0.189 s
% 1.55/1.49 % (17893)Instructions burned: 378 (million)
% 1.55/1.49 % (17893)------------------------------
% 1.55/1.49 % (17893)------------------------------
% 1.55/1.50 % (17906)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_17762 for (2997ds/107Mi)
% 1.55/1.51 % (17905)Instruction limit reached!
% 1.55/1.51 % (17905)------------------------------
% 1.55/1.51 % (17905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.51 % (17905)Termination reason: Unknown
% 1.55/1.51 % (17905)Termination phase: Saturation
% 1.55/1.51
% 1.55/1.51 % (17905)Memory used [KB]: 6140
% 1.55/1.51 % (17905)Time elapsed: 0.048 s
% 1.55/1.51 % (17905)Instructions burned: 88 (million)
% 1.55/1.51 % (17905)------------------------------
% 1.55/1.51 % (17905)------------------------------
% 1.55/1.52 % (17907)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_17762 for (2997ds/39Mi)
% 1.55/1.53 % (17907)Instruction limit reached!
% 1.55/1.53 % (17907)------------------------------
% 1.55/1.53 % (17907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.53 % (17907)Termination reason: Unknown
% 1.55/1.53 % (17907)Termination phase: Saturation
% 1.55/1.53
% 1.55/1.53 % (17907)Memory used [KB]: 5884
% 1.55/1.53 % (17907)Time elapsed: 0.037 s
% 1.55/1.53 % (17907)Instructions burned: 40 (million)
% 1.55/1.53 % (17907)------------------------------
% 1.55/1.53 % (17907)------------------------------
% 1.55/1.54 % (17908)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_17762 for (2996ds/448Mi)
% 1.55/1.56 % (17906)Instruction limit reached!
% 1.55/1.56 % (17906)------------------------------
% 1.55/1.56 % (17906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.56 % (17906)Termination reason: Unknown
% 1.55/1.56 % (17906)Termination phase: Saturation
% 1.55/1.56
% 1.55/1.56 % (17906)Memory used [KB]: 6268
% 1.55/1.56 % (17906)Time elapsed: 0.077 s
% 1.55/1.56 % (17906)Instructions burned: 107 (million)
% 1.55/1.56 % (17906)------------------------------
% 1.55/1.56 % (17906)------------------------------
% 1.55/1.57 % (17909)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_17762 for (2996ds/46Mi)
% 1.55/1.60 % (17909)Instruction limit reached!
% 1.55/1.60 % (17909)------------------------------
% 1.55/1.60 % (17909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.60 % (17909)Termination reason: Unknown
% 1.55/1.60 % (17909)Termination phase: Saturation
% 1.55/1.60
% 1.55/1.60 % (17909)Memory used [KB]: 5756
% 1.55/1.60 % (17909)Time elapsed: 0.025 s
% 1.55/1.60 % (17909)Instructions burned: 46 (million)
% 1.55/1.60 % (17909)------------------------------
% 1.55/1.60 % (17909)------------------------------
% 1.55/1.60 % (17887)Instruction limit reached!
% 1.55/1.60 % (17887)------------------------------
% 1.55/1.60 % (17887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.60 % (17887)Termination reason: Unknown
% 1.55/1.60 % (17887)Termination phase: Saturation
% 1.55/1.60
% 1.55/1.60 % (17887)Memory used [KB]: 7675
% 1.55/1.60 % (17887)Time elapsed: 0.328 s
% 1.55/1.60 % (17887)Instructions burned: 711 (million)
% 1.55/1.60 % (17887)------------------------------
% 1.55/1.60 % (17887)------------------------------
% 1.55/1.61 % (17911)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_17762 for (2996ds/98Mi)
% 1.55/1.63 % (17912)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_17762 for (2995ds/507Mi)
% 1.55/1.65 % (17894)Instruction limit reached!
% 1.55/1.65 % (17894)------------------------------
% 1.55/1.65 % (17894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.65 % (17894)Termination reason: Unknown
% 1.55/1.65 % (17894)Termination phase: Saturation
% 1.55/1.65
% 1.55/1.65 % (17894)Memory used [KB]: 6908
% 1.55/1.65 % (17894)Time elapsed: 0.353 s
% 1.55/1.65 % (17894)Instructions burned: 779 (million)
% 1.55/1.65 % (17894)------------------------------
% 1.55/1.65 % (17894)------------------------------
% 1.55/1.66 % (17911)Instruction limit reached!
% 1.55/1.66 % (17911)------------------------------
% 1.55/1.66 % (17911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.66 % (17911)Termination reason: Unknown
% 1.55/1.66 % (17911)Termination phase: Saturation
% 1.55/1.66
% 1.55/1.66 % (17911)Memory used [KB]: 1535
% 1.55/1.66 % (17911)Time elapsed: 0.075 s
% 1.55/1.66 % (17911)Instructions burned: 98 (million)
% 1.55/1.66 % (17911)------------------------------
% 1.55/1.66 % (17911)------------------------------
% 1.55/1.67 % (17913)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_17762 for (2995ds/149Mi)
% 1.55/1.68 % (17914)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_17762 for (2995ds/39Mi)
% 1.55/1.69 % (17908)Instruction limit reached!
% 1.55/1.69 % (17908)------------------------------
% 1.55/1.69 % (17908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.69 % (17908)Termination reason: Unknown
% 1.55/1.69 % (17908)Termination phase: Saturation
% 1.55/1.69
% 1.55/1.69 % (17908)Memory used [KB]: 6908
% 1.55/1.69 % (17908)Time elapsed: 0.160 s
% 1.55/1.69 % (17908)Instructions burned: 449 (million)
% 1.55/1.69 % (17908)------------------------------
% 1.55/1.69 % (17908)------------------------------
% 1.55/1.70 % (17914)Instruction limit reached!
% 1.55/1.70 % (17914)------------------------------
% 1.55/1.70 % (17914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.70 % (17914)Termination reason: Unknown
% 1.55/1.70 % (17914)Termination phase: Saturation
% 1.55/1.70
% 1.55/1.70 % (17914)Memory used [KB]: 5756
% 1.55/1.70 % (17914)Time elapsed: 0.021 s
% 1.55/1.70 % (17914)Instructions burned: 39 (million)
% 1.55/1.70 % (17914)------------------------------
% 1.55/1.70 % (17914)------------------------------
% 1.55/1.70 % (17915)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_17762 for (2995ds/6Mi)
% 1.55/1.70 % (17915)Instruction limit reached!
% 1.55/1.70 % (17915)------------------------------
% 1.55/1.70 % (17915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.70 % (17915)Termination reason: Unknown
% 1.55/1.70 % (17915)Termination phase: Property scanning
% 1.55/1.70
% 1.55/1.70 % (17915)Memory used [KB]: 1023
% 1.55/1.70 % (17915)Time elapsed: 0.003 s
% 1.55/1.70 % (17915)Instructions burned: 8 (million)
% 1.55/1.70 % (17915)------------------------------
% 1.55/1.70 % (17915)------------------------------
% 1.55/1.71 % (17917)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_17762 for (2994ds/47Mi)
% 1.55/1.71 % (17916)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_17762 for (2994ds/1087Mi)
% 1.55/1.72 % (17889)Instruction limit reached!
% 1.55/1.72 % (17889)------------------------------
% 1.55/1.72 % (17889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.72 % (17889)Termination reason: Unknown
% 1.55/1.72 % (17889)Termination phase: Saturation
% 1.55/1.72
% 1.55/1.72 % (17889)Memory used [KB]: 6652
% 1.55/1.72 % (17889)Time elapsed: 0.439 s
% 1.55/1.72 % (17889)Instructions burned: 902 (million)
% 1.55/1.72 % (17889)------------------------------
% 1.55/1.72 % (17889)------------------------------
% 1.55/1.72 % (17917)Instruction limit reached!
% 1.55/1.72 % (17917)------------------------------
% 1.55/1.72 % (17917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.72 % (17917)Termination reason: Unknown
% 1.55/1.72 % (17917)Termination phase: Saturation
% 1.55/1.72
% 1.55/1.72 % (17917)Memory used [KB]: 5756
% 1.55/1.72 % (17917)Time elapsed: 0.015 s
% 1.55/1.72 % (17917)Instructions burned: 47 (million)
% 1.55/1.72 % (17917)------------------------------
% 1.55/1.72 % (17917)------------------------------
% 1.55/1.73 % (17919)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_17762 for (2994ds/432Mi)
% 1.55/1.74 % (17918)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_17762 for (2994ds/44Mi)
% 1.55/1.74 % (17877)Instruction limit reached!
% 1.55/1.74 % (17877)------------------------------
% 1.55/1.74 % (17877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.74 % (17877)Termination reason: Unknown
% 1.55/1.74 % (17877)Termination phase: Saturation
% 1.55/1.74
% 1.55/1.74 % (17877)Memory used [KB]: 9338
% 1.55/1.74 % (17877)Time elapsed: 0.498 s
% 1.55/1.74 % (17877)Instructions burned: 1042 (million)
% 1.55/1.74 % (17877)------------------------------
% 1.55/1.74 % (17877)------------------------------
% 1.55/1.74 % (17896)Instruction limit reached!
% 1.55/1.74 % (17896)------------------------------
% 1.55/1.74 % (17896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.74 % (17896)Termination reason: Unknown
% 1.55/1.74 % (17896)Termination phase: Saturation
% 1.55/1.74
% 1.55/1.74 % (17896)Memory used [KB]: 7419
% 1.55/1.74 % (17896)Time elapsed: 0.429 s
% 1.55/1.74 % (17896)Instructions burned: 879 (million)
% 1.55/1.74 % (17896)------------------------------
% 1.55/1.74 % (17896)------------------------------
% 1.55/1.74 % (17913)Instruction limit reached!
% 1.55/1.74 % (17913)------------------------------
% 1.55/1.74 % (17913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.74 % (17913)Termination reason: Unknown
% 1.55/1.74 % (17913)Termination phase: Saturation
% 1.55/1.74
% 1.55/1.74 % (17913)Memory used [KB]: 6268
% 1.55/1.74 % (17913)Time elapsed: 0.077 s
% 1.55/1.74 % (17913)Instructions burned: 150 (million)
% 1.55/1.74 % (17913)------------------------------
% 1.55/1.74 % (17913)------------------------------
% 1.55/1.75 % (17920)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_17762 for (2994ds/62Mi)
% 1.55/1.76 % (17921)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_17762 for (2994ds/31Mi)
% 1.55/1.76 % (17922)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_17762 for (2994ds/96Mi)
% 1.55/1.76 % (17918)Instruction limit reached!
% 1.55/1.76 % (17918)------------------------------
% 1.55/1.76 % (17918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.76 % (17918)Termination reason: Unknown
% 1.55/1.76 % (17918)Termination phase: Saturation
% 1.55/1.76
% 1.55/1.76 % (17918)Memory used [KB]: 1279
% 1.55/1.76 % (17918)Time elapsed: 0.022 s
% 1.55/1.76 % (17918)Instructions burned: 44 (million)
% 1.55/1.76 % (17918)------------------------------
% 1.55/1.76 % (17918)------------------------------
% 1.55/1.77 % (17921)Instruction limit reached!
% 1.55/1.77 % (17921)------------------------------
% 1.55/1.77 % (17921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.77 % (17921)Termination reason: Unknown
% 1.55/1.77 % (17921)Termination phase: Saturation
% 1.55/1.77
% 1.55/1.77 % (17921)Memory used [KB]: 5756
% 1.55/1.77 % (17921)Time elapsed: 0.017 s
% 1.55/1.77 % (17921)Instructions burned: 32 (million)
% 1.55/1.77 % (17921)------------------------------
% 1.55/1.77 % (17921)------------------------------
% 1.55/1.77 % (17923)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_17762 for (2994ds/453Mi)
% 1.55/1.79 % (17920)Instruction limit reached!
% 1.55/1.79 % (17920)------------------------------
% 1.55/1.79 % (17920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.79 % (17920)Termination reason: Unknown
% 1.55/1.79 % (17920)Termination phase: Saturation
% 1.55/1.79
% 1.55/1.79 % (17920)Memory used [KB]: 6012
% 1.55/1.79 % (17920)Time elapsed: 0.033 s
% 1.55/1.79 % (17920)Instructions burned: 64 (million)
% 1.55/1.79 % (17920)------------------------------
% 1.55/1.79 % (17920)------------------------------
% 1.55/1.79 % (17924)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_17762 for (2994ds/71Mi)
% 1.55/1.80 % (17925)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_17762 for (2994ds/83Mi)
% 1.55/1.81 % (17922)Instruction limit reached!
% 1.55/1.81 % (17922)------------------------------
% 1.55/1.81 % (17922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.81 % (17922)Termination reason: Unknown
% 1.55/1.81 % (17922)Termination phase: Saturation
% 1.55/1.81
% 1.55/1.81 % (17922)Memory used [KB]: 6012
% 1.55/1.81 % (17922)Time elapsed: 0.049 s
% 1.55/1.81 % (17922)Instructions burned: 97 (million)
% 1.55/1.81 % (17922)------------------------------
% 1.55/1.81 % (17922)------------------------------
% 1.55/1.82 % (17926)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_17762 for (2993ds/11Mi)
% 1.55/1.82 % (17924)Instruction limit reached!
% 1.55/1.82 % (17924)------------------------------
% 1.55/1.82 % (17924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.82 % (17924)Termination reason: Unknown
% 1.55/1.82 % (17924)Termination phase: Saturation
% 1.55/1.82
% 1.55/1.82 % (17924)Memory used [KB]: 6012
% 1.55/1.82 % (17924)Time elapsed: 0.038 s
% 1.55/1.82 % (17924)Instructions burned: 72 (million)
% 1.55/1.82 % (17924)------------------------------
% 1.55/1.82 % (17924)------------------------------
% 1.55/1.83 % (17926)Instruction limit reached!
% 1.55/1.83 % (17926)------------------------------
% 1.55/1.83 % (17926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.83 % (17926)Termination reason: Unknown
% 1.55/1.83 % (17926)Termination phase: Property scanning
% 1.55/1.83
% 1.55/1.83 % (17926)Memory used [KB]: 1023
% 1.55/1.83 % (17926)Time elapsed: 0.006 s
% 1.55/1.83 % (17926)Instructions burned: 11 (million)
% 1.55/1.83 % (17926)------------------------------
% 1.55/1.83 % (17926)------------------------------
% 1.55/1.84 % (17927)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_17762 for (2993ds/41Mi)
% 1.55/1.84 % (17928)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_17762 for (2993ds/6Mi)
% 1.55/1.84 % (17925)Instruction limit reached!
% 1.55/1.84 % (17925)------------------------------
% 1.55/1.84 % (17925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.84 % (17925)Termination reason: Unknown
% 1.55/1.84 % (17925)Termination phase: Saturation
% 1.55/1.84
% 1.55/1.84 % (17925)Memory used [KB]: 5884
% 1.55/1.84 % (17925)Time elapsed: 0.042 s
% 1.55/1.84 % (17925)Instructions burned: 85 (million)
% 1.55/1.84 % (17925)------------------------------
% 1.55/1.84 % (17925)------------------------------
% 1.55/1.84 % (17928)Instruction limit reached!
% 1.55/1.84 % (17928)------------------------------
% 1.55/1.84 % (17928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.84 % (17928)Termination reason: Unknown
% 1.55/1.84 % (17928)Termination phase: Property scanning
% 1.55/1.84
% 1.55/1.84 % (17928)Memory used [KB]: 1023
% 1.55/1.84 % (17928)Time elapsed: 0.004 s
% 1.55/1.84 % (17928)Instructions burned: 6 (million)
% 1.55/1.84 % (17928)------------------------------
% 1.55/1.84 % (17928)------------------------------
% 1.55/1.86 % (17929)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_17762 for (2993ds/150Mi)
% 1.55/1.86 % (17919)Instruction limit reached!
% 1.55/1.86 % (17919)------------------------------
% 1.55/1.86 % (17919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.86 % (17919)Termination reason: Unknown
% 1.55/1.86 % (17919)Termination phase: Saturation
% 1.55/1.86
% 1.55/1.86 % (17919)Memory used [KB]: 4221
% 1.55/1.86 % (17919)Time elapsed: 0.127 s
% 1.55/1.86 % (17919)Instructions burned: 433 (million)
% 1.55/1.86 % (17919)------------------------------
% 1.55/1.86 % (17919)------------------------------
% 1.55/1.86 % (17930)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_17762 for (2993ds/343Mi)
% 1.55/1.86 % (17927)Instruction limit reached!
% 1.55/1.86 % (17927)------------------------------
% 1.55/1.86 % (17927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.86 % (17927)Termination reason: Unknown
% 1.55/1.86 % (17927)Termination phase: Saturation
% 1.55/1.86
% 1.55/1.86 % (17927)Memory used [KB]: 5884
% 1.55/1.86 % (17927)Time elapsed: 0.021 s
% 1.55/1.86 % (17927)Instructions burned: 41 (million)
% 1.55/1.86 % (17927)------------------------------
% 1.55/1.86 % (17927)------------------------------
% 1.55/1.87 % (17931)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_17762 for (2993ds/109Mi)
% 1.55/1.88 % (17932)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_17762 for (2993ds/253Mi)
% 1.55/1.88 % (17912)Instruction limit reached!
% 1.55/1.88 % (17912)------------------------------
% 1.55/1.88 % (17912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.88 % (17912)Termination reason: Unknown
% 1.55/1.88 % (17912)Termination phase: Saturation
% 1.55/1.88
% 1.55/1.88 % (17912)Memory used [KB]: 6268
% 1.55/1.88 % (17912)Time elapsed: 0.267 s
% 1.55/1.88 % (17912)Instructions burned: 507 (million)
% 1.55/1.88 % (17912)------------------------------
% 1.55/1.88 % (17912)------------------------------
% 1.55/1.90 % (17933)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_17762 for (2993ds/140Mi)
% 1.55/1.90 % (17931)Instruction limit reached!
% 1.55/1.90 % (17931)------------------------------
% 1.55/1.90 % (17931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.90 % (17931)Termination reason: Unknown
% 1.55/1.90 % (17931)Termination phase: Saturation
% 1.55/1.90
% 1.55/1.90 % (17931)Memory used [KB]: 6268
% 1.55/1.90 % (17931)Time elapsed: 0.035 s
% 1.55/1.90 % (17931)Instructions burned: 111 (million)
% 1.55/1.90 % (17931)------------------------------
% 1.55/1.90 % (17931)------------------------------
% 1.55/1.91 % (17934)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_17762 for (2993ds/614Mi)
% 1.55/1.93 % (17929)Instruction limit reached!
% 1.55/1.93 % (17929)------------------------------
% 1.55/1.93 % (17929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.93 % (17929)Termination reason: Unknown
% 1.55/1.93 % (17929)Termination phase: Saturation
% 1.55/1.93
% 1.55/1.93 % (17929)Memory used [KB]: 6268
% 1.55/1.93 % (17929)Time elapsed: 0.073 s
% 1.55/1.93 % (17929)Instructions burned: 150 (million)
% 1.55/1.93 % (17929)------------------------------
% 1.55/1.93 % (17929)------------------------------
% 1.55/1.95 % (17935)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_17762 for (2992ds/202Mi)
% 1.55/1.95 % (17935)Refutation not found, incomplete strategy
% 1.55/1.95 % (17935)------------------------------
% 1.55/1.95 % (17935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.95 % (17935)Termination reason: Refutation not found, incomplete strategy
% 1.55/1.95
% 1.55/1.95
% 1.55/1.95 % (17935)Memory used [KB]: 5628
% 1.55/1.95 % (17935)Time elapsed: 0.008 s
% 1.55/1.95 % (17935)Instructions burned: 13 (million)
% 1.55/1.95 % (17935)------------------------------
% 1.55/1.95 % (17935)------------------------------
% 1.55/1.97 % (17933)Instruction limit reached!
% 1.55/1.97 % (17933)------------------------------
% 1.55/1.97 % (17933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.97 % (17933)Termination reason: Unknown
% 1.55/1.97 % (17933)Termination phase: Saturation
% 1.55/1.97
% 1.55/1.97 % (17933)Memory used [KB]: 6268
% 1.55/1.97 % (17933)Time elapsed: 0.073 s
% 1.55/1.97 % (17933)Instructions burned: 140 (million)
% 1.55/1.97 % (17933)------------------------------
% 1.55/1.97 % (17933)------------------------------
% 1.55/1.97 % (17936)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_17762 for (2992ds/339Mi)
% 1.55/1.99 % (17937)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_17762 for (2992ds/283Mi)
% 1.55/1.99 % (17923)Instruction limit reached!
% 1.55/1.99 % (17923)------------------------------
% 1.55/1.99 % (17923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.99 % (17923)Termination reason: Unknown
% 1.55/1.99 % (17923)Termination phase: Saturation
% 1.55/1.99
% 1.55/1.99 % (17923)Memory used [KB]: 6652
% 1.55/1.99 % (17923)Time elapsed: 0.216 s
% 1.55/1.99 % (17923)Instructions burned: 453 (million)
% 1.55/1.99 % (17923)------------------------------
% 1.55/1.99 % (17923)------------------------------
% 1.55/2.00 % (17932)Instruction limit reached!
% 1.55/2.00 % (17932)------------------------------
% 1.55/2.00 % (17932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/2.00 % (17932)Termination reason: Unknown
% 1.55/2.00 % (17932)Termination phase: Saturation
% 1.55/2.00
% 1.55/2.00 % (17932)Memory used [KB]: 6396
% 1.55/2.00 % (17932)Time elapsed: 0.122 s
% 1.55/2.00 % (17932)Instructions burned: 254 (million)
% 1.55/2.00 % (17932)------------------------------
% 1.55/2.00 % (17932)------------------------------
% 1.55/2.00 % (17938)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_17762 for (2992ds/134Mi)
% 1.55/2.01 % (17939)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_17762 for (2992ds/298Mi)
% 7.15/2.03 % (17930)Instruction limit reached!
% 7.15/2.03 % (17930)------------------------------
% 7.15/2.03 % (17930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.03 % (17930)Termination reason: Unknown
% 7.15/2.03 % (17930)Termination phase: Saturation
% 7.15/2.03
% 7.15/2.03 % (17930)Memory used [KB]: 6780
% 7.15/2.03 % (17930)Time elapsed: 0.171 s
% 7.15/2.03 % (17930)Instructions burned: 344 (million)
% 7.15/2.03 % (17930)------------------------------
% 7.15/2.03 % (17930)------------------------------
% 7.15/2.05 % (17940)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_17762 for (2991ds/192Mi)
% 7.15/2.07 % (17938)Instruction limit reached!
% 7.15/2.07 % (17938)------------------------------
% 7.15/2.07 % (17938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.07 % (17938)Termination reason: Unknown
% 7.15/2.07 % (17938)Termination phase: Saturation
% 7.15/2.07
% 7.15/2.07 % (17938)Memory used [KB]: 6268
% 7.15/2.07 % (17938)Time elapsed: 0.067 s
% 7.15/2.07 % (17938)Instructions burned: 134 (million)
% 7.15/2.07 % (17938)------------------------------
% 7.15/2.07 % (17938)------------------------------
% 7.15/2.09 % (17941)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_17762 for (2991ds/258Mi)
% 7.15/2.10 % (17934)Instruction limit reached!
% 7.15/2.10 % (17934)------------------------------
% 7.15/2.10 % (17934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.10 % (17934)Termination reason: Unknown
% 7.15/2.10 % (17934)Termination phase: Saturation
% 7.15/2.10
% 7.15/2.10 % (17934)Memory used [KB]: 7419
% 7.15/2.10 % (17934)Time elapsed: 0.186 s
% 7.15/2.10 % (17934)Instructions burned: 617 (million)
% 7.15/2.10 % (17934)------------------------------
% 7.15/2.10 % (17934)------------------------------
% 7.15/2.11 % (17942)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_17762 for (2991ds/90Mi)
% 7.15/2.12 % (17937)Instruction limit reached!
% 7.15/2.12 % (17937)------------------------------
% 7.15/2.12 % (17937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.15/2.12 % (17937)Termination reason: Unknown
% 7.15/2.12 % (17937)Termination phase: Saturation
% 7.15/2.12
% 7.15/2.12 % (17937)Memory used [KB]: 7675
% 7.15/2.12 % (17937)Time elapsed: 0.135 s
% 7.15/2.12 % (17937)Instructions burned: 284 (million)
% 7.15/2.12 % (17937)------------------------------
% 7.15/2.12 % (17937)------------------------------
% 7.61/2.13 % (17936)Instruction limit reached!
% 7.61/2.13 % (17936)------------------------------
% 7.61/2.13 % (17936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.61/2.13 % (17936)Termination reason: Unknown
% 7.61/2.13 % (17936)Termination phase: Saturation
% 7.61/2.13
% 7.61/2.13 % (17936)Memory used [KB]: 6268
% 7.61/2.13 % (17936)Time elapsed: 0.163 s
% 7.61/2.13 % (17936)Instructions burned: 340 (million)
% 7.61/2.13 % (17936)------------------------------
% 7.61/2.13 % (17936)------------------------------
% 7.61/2.13 % (17940)Instruction limit reached!
% 7.61/2.13 % (17940)------------------------------
% 7.61/2.13 % (17940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.61/2.13 % (17940)Termination reason: Unknown
% 7.61/2.13 % (17940)Termination phase: Saturation
% 7.61/2.13
% 7.61/2.13 % (17940)Memory used [KB]: 6396
% 7.61/2.13 % (17940)Time elapsed: 0.089 s
% 7.61/2.13 % (17940)Instructions burned: 193 (million)
% 7.61/2.13 % (17940)------------------------------
% 7.61/2.13 % (17940)------------------------------
% 7.61/2.13 % (17942)Instruction limit reached!
% 7.61/2.13 % (17942)------------------------------
% 7.61/2.13 % (17942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.61/2.13 % (17942)Termination reason: Unknown
% 7.61/2.13 % (17942)Termination phase: Saturation
% 7.61/2.13
% 7.61/2.13 % (17942)Memory used [KB]: 5884
% 7.61/2.13 % (17942)Time elapsed: 0.028 s
% 7.61/2.13 % (17942)Instructions burned: 93 (million)
% 7.61/2.13 % (17942)------------------------------
% 7.61/2.13 % (17942)------------------------------
% 7.61/2.14 % (17943)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_17762 for (2990ds/231Mi)
% 7.61/2.14 % (17945)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_17762 for (2990ds/31Mi)
% 7.61/2.15 % (17944)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_17762 for (2990ds/458Mi)
% 7.61/2.15 % (17946)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_17762 for (2990ds/297Mi)
% 7.61/2.15 % (17945)Instruction limit reached!
% 7.61/2.15 % (17945)------------------------------
% 7.61/2.15 % (17945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.61/2.15 % (17945)Termination reason: Unknown
% 7.61/2.15 % (17945)Termination phase: Saturation
% 7.61/2.15
% 7.61/2.15 % (17945)Memory used [KB]: 5756
% 7.61/2.15 % (17945)Time elapsed: 0.011 s
% 7.61/2.15 % (17945)Instructions burned: 33 (million)
% 7.61/2.15 % (17945)------------------------------
% 7.61/2.15 % (17945)------------------------------
% 7.61/2.16 % (17939)Instruction limit reached!
% 7.61/2.16 % (17939)------------------------------
% 7.61/2.16 % (17939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.61/2.16 % (17939)Termination reason: Unknown
% 7.61/2.16 % (17939)Termination phase: Saturation
% 7.61/2.16
% 7.61/2.16 % (17939)Memory used [KB]: 6396
% 7.61/2.16 % (17939)Time elapsed: 0.146 s
% 7.61/2.16 % (17939)Instructions burned: 298 (million)
% 7.61/2.16 % (17939)------------------------------
% 7.61/2.16 % (17939)------------------------------
% 7.61/2.16 % (17947)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_17762 for (2990ds/987Mi)
% 7.61/2.18 % (17948)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_17762 for (2990ds/182Mi)
% 8.02/2.21 % (17941)Instruction limit reached!
% 8.02/2.21 % (17941)------------------------------
% 8.02/2.21 % (17941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.21 % (17941)Termination reason: Unknown
% 8.02/2.21 % (17941)Termination phase: Saturation
% 8.02/2.21
% 8.02/2.21 % (17941)Memory used [KB]: 6268
% 8.02/2.21 % (17941)Time elapsed: 0.124 s
% 8.02/2.21 % (17941)Instructions burned: 259 (million)
% 8.02/2.21 % (17941)------------------------------
% 8.02/2.21 % (17941)------------------------------
% 8.02/2.23 % (17949)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_17762 for (2990ds/182Mi)
% 8.02/2.24 % (17916)Instruction limit reached!
% 8.02/2.24 % (17916)------------------------------
% 8.02/2.24 % (17916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.24 % (17916)Termination reason: Unknown
% 8.02/2.24 % (17916)Termination phase: Saturation
% 8.02/2.24
% 8.02/2.24 % (17916)Memory used [KB]: 7164
% 8.02/2.24 % (17916)Time elapsed: 0.530 s
% 8.02/2.24 % (17916)Instructions burned: 1088 (million)
% 8.02/2.24 % (17916)------------------------------
% 8.02/2.24 % (17916)------------------------------
% 8.02/2.25 % (17943)Instruction limit reached!
% 8.02/2.25 % (17943)------------------------------
% 8.02/2.25 % (17943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.25 % (17943)Termination reason: Unknown
% 8.02/2.25 % (17943)Termination phase: Saturation
% 8.02/2.25
% 8.02/2.25 % (17943)Memory used [KB]: 6652
% 8.02/2.25 % (17943)Time elapsed: 0.115 s
% 8.02/2.25 % (17943)Instructions burned: 232 (million)
% 8.02/2.25 % (17943)------------------------------
% 8.02/2.25 % (17943)------------------------------
% 8.02/2.26 % (17950)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_17762 for (2989ds/154Mi)
% 8.02/2.27 % (17952)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_17762 for (2989ds/79Mi)
% 8.02/2.27 % (17950)Refutation not found, incomplete strategy
% 8.02/2.27 % (17950)------------------------------
% 8.02/2.27 % (17950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.27 % (17950)Termination reason: Refutation not found, incomplete strategy
% 8.02/2.27
% 8.02/2.27
% 8.02/2.27 % (17950)Memory used [KB]: 5756
% 8.02/2.27 % (17950)Time elapsed: 0.013 s
% 8.02/2.27 % (17950)Instructions burned: 24 (million)
% 8.02/2.27 % (17950)------------------------------
% 8.02/2.27 % (17950)------------------------------
% 8.02/2.27 % (17948)Instruction limit reached!
% 8.02/2.27 % (17948)------------------------------
% 8.02/2.27 % (17948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.02/2.27 % (17948)Termination reason: Unknown
% 8.02/2.27 % (17948)Termination phase: Saturation
% 8.02/2.27
% 8.02/2.27 % (17948)Memory used [KB]: 6524
% 8.02/2.27 % (17948)Time elapsed: 0.118 s
% 8.02/2.27 % (17948)Instructions burned: 184 (million)
% 8.02/2.27 % (17948)------------------------------
% 8.02/2.27 % (17948)------------------------------
% 8.02/2.29 % (17953)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_17762 for (2989ds/216Mi)
% 8.02/2.29 % (17954)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_17762 for (2989ds/114Mi)
% 8.48/2.30 % (17946)Instruction limit reached!
% 8.48/2.30 % (17946)------------------------------
% 8.48/2.30 % (17946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.48/2.30 % (17946)Termination reason: Unknown
% 8.48/2.30 % (17946)Termination phase: Saturation
% 8.48/2.30
% 8.48/2.30 % (17946)Memory used [KB]: 6652
% 8.48/2.30 % (17946)Time elapsed: 0.149 s
% 8.48/2.30 % (17946)Instructions burned: 297 (million)
% 8.48/2.30 % (17946)------------------------------
% 8.48/2.30 % (17946)------------------------------
% 8.48/2.30 % (17949)Instruction limit reached!
% 8.48/2.30 % (17949)------------------------------
% 8.48/2.30 % (17949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.48/2.30 % (17949)Termination reason: Unknown
% 8.48/2.30 % (17949)Termination phase: Saturation
% 8.48/2.30
% 8.48/2.30 % (17949)Memory used [KB]: 6140
% 8.48/2.30 % (17949)Time elapsed: 0.093 s
% 8.48/2.30 % (17949)Instructions burned: 183 (million)
% 8.48/2.30 % (17949)------------------------------
% 8.48/2.30 % (17949)------------------------------
% 8.48/2.31 % (17952)Instruction limit reached!
% 8.48/2.31 % (17952)------------------------------
% 8.48/2.31 % (17952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.48/2.31 % (17952)Termination reason: Unknown
% 8.48/2.31 % (17952)Termination phase: Saturation
% 8.48/2.31
% 8.48/2.31 % (17952)Memory used [KB]: 5884
% 8.48/2.31 % (17952)Time elapsed: 0.063 s
% 8.48/2.31 % (17952)Instructions burned: 79 (million)
% 8.48/2.31 % (17952)------------------------------
% 8.48/2.31 % (17952)------------------------------
% 8.48/2.31 % (17955)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_17762 for (2989ds/922Mi)
% 8.48/2.31 % (17956)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_17762 for (2989ds/182Mi)
% 8.48/2.32 % (17957)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_17762 for (2988ds/164Mi)
% 8.48/2.33 % (17954)Instruction limit reached!
% 8.48/2.33 % (17954)------------------------------
% 8.48/2.33 % (17954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.48/2.33 % (17954)Termination reason: Unknown
% 8.48/2.33 % (17954)Termination phase: Saturation
% 8.48/2.33
% 8.48/2.33 % (17954)Memory used [KB]: 6140
% 8.48/2.33 % (17954)Time elapsed: 0.067 s
% 8.48/2.33 % (17954)Instructions burned: 115 (million)
% 8.48/2.33 % (17954)------------------------------
% 8.48/2.33 % (17954)------------------------------
% 8.48/2.34 % (17959)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_17762 for (2988ds/50Mi)
% 8.48/2.36 % (17959)Instruction limit reached!
% 8.48/2.36 % (17959)------------------------------
% 8.48/2.36 % (17959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.48/2.36 % (17959)Termination reason: Unknown
% 8.48/2.36 % (17959)Termination phase: Saturation
% 8.48/2.36
% 8.48/2.36 % (17959)Memory used [KB]: 10618
% 8.48/2.36 % (17959)Time elapsed: 0.017 s
% 8.48/2.36 % (17959)Instructions burned: 51 (million)
% 8.48/2.36 % (17959)------------------------------
% 8.48/2.36 % (17959)------------------------------
% 8.48/2.36 % (17960)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_17762 for (2988ds/368Mi)
% 8.48/2.37 % (17944)Instruction limit reached!
% 8.48/2.37 % (17944)------------------------------
% 8.48/2.37 % (17944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.48/2.37 % (17944)Termination reason: Unknown
% 8.48/2.37 % (17944)Termination phase: Saturation
% 8.48/2.37
% 8.48/2.37 % (17944)Memory used [KB]: 7036
% 8.48/2.37 % (17944)Time elapsed: 0.225 s
% 8.48/2.37 % (17944)Instructions burned: 459 (million)
% 8.48/2.37 % (17944)------------------------------
% 8.48/2.37 % (17944)------------------------------
% 8.48/2.39 % (17961)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_17762 for (2988ds/1021Mi)
% 8.48/2.39 % (17953)Instruction limit reached!
% 8.48/2.39 % (17953)------------------------------
% 8.48/2.39 % (17953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.48/2.39 % (17953)Termination reason: Unknown
% 8.48/2.39 % (17953)Termination phase: Saturation
% 8.48/2.39
% 8.48/2.39 % (17953)Memory used [KB]: 6396
% 8.48/2.39 % (17953)Time elapsed: 0.126 s
% 8.48/2.39 % (17953)Instructions burned: 216 (million)
% 8.48/2.39 % (17953)------------------------------
% 8.48/2.39 % (17953)------------------------------
% 9.20/2.40 % (17957)Instruction limit reached!
% 9.20/2.40 % (17957)------------------------------
% 9.20/2.40 % (17957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.20/2.40 % (17957)Termination reason: Unknown
% 9.20/2.40 % (17957)Termination phase: Saturation
% 9.20/2.40
% 9.20/2.40 % (17957)Memory used [KB]: 1663
% 9.20/2.40 % (17957)Time elapsed: 0.080 s
% 9.20/2.40 % (17957)Instructions burned: 165 (million)
% 9.20/2.40 % (17957)------------------------------
% 9.20/2.40 % (17957)------------------------------
% 9.20/2.40 % (17956)Instruction limit reached!
% 9.20/2.40 % (17956)------------------------------
% 9.20/2.40 % (17956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.20/2.40 % (17956)Termination reason: Unknown
% 9.20/2.40 % (17956)Termination phase: Saturation
% 9.20/2.40
% 9.20/2.40 % (17956)Memory used [KB]: 6012
% 9.20/2.40 % (17956)Time elapsed: 0.112 s
% 9.20/2.40 % (17956)Instructions burned: 182 (million)
% 9.20/2.40 % (17956)------------------------------
% 9.20/2.40 % (17956)------------------------------
% 9.20/2.40 % (17962)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_17762 for (2988ds/267Mi)
% 9.20/2.42 % (17963)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_17762 for (2987ds/204Mi)
% 9.20/2.42 % (17964)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_17762 for (2987ds/26Mi)
% 9.20/2.43 % (17964)Instruction limit reached!
% 9.20/2.43 % (17964)------------------------------
% 9.20/2.43 % (17964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.20/2.43 % (17964)Termination reason: Unknown
% 9.20/2.43 % (17964)Termination phase: Saturation
% 9.20/2.43
% 9.20/2.43 % (17964)Memory used [KB]: 5756
% 9.20/2.43 % (17964)Time elapsed: 0.014 s
% 9.20/2.43 % (17964)Instructions burned: 27 (million)
% 9.20/2.43 % (17964)------------------------------
% 9.20/2.43 % (17964)------------------------------
% 9.20/2.44 % (17965)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_17762 for (2987ds/53Mi)
% 9.20/2.46 % (17965)Instruction limit reached!
% 9.20/2.46 % (17965)------------------------------
% 9.20/2.46 % (17965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.20/2.46 % (17965)Termination reason: Unknown
% 9.20/2.46 % (17965)Termination phase: Saturation
% 9.20/2.46
% 9.20/2.46 % (17965)Memory used [KB]: 5884
% 9.20/2.46 % (17965)Time elapsed: 0.018 s
% 9.20/2.46 % (17965)Instructions burned: 55 (million)
% 9.20/2.46 % (17965)------------------------------
% 9.20/2.46 % (17965)------------------------------
% 9.20/2.47 % (17966)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_17762 for (2987ds/4436Mi)
% 9.20/2.49 % (17960)Instruction limit reached!
% 9.20/2.49 % (17960)------------------------------
% 9.20/2.49 % (17960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.20/2.49 % (17960)Termination reason: Unknown
% 9.20/2.49 % (17960)Termination phase: Saturation
% 9.20/2.49
% 9.20/2.49 % (17960)Memory used [KB]: 6908
% 9.20/2.49 % (17960)Time elapsed: 0.129 s
% 9.20/2.49 % (17960)Instructions burned: 369 (million)
% 9.20/2.49 % (17960)------------------------------
% 9.20/2.49 % (17960)------------------------------
% 9.59/2.52 % (17963)Instruction limit reached!
% 9.59/2.52 % (17963)------------------------------
% 9.59/2.52 % (17963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.59/2.52 % (17963)Termination reason: Unknown
% 9.59/2.52 % (17963)Termination phase: Saturation
% 9.59/2.52
% 9.59/2.52 % (17963)Memory used [KB]: 6012
% 9.59/2.52 % (17963)Time elapsed: 0.102 s
% 9.59/2.52 % (17963)Instructions burned: 205 (million)
% 9.59/2.52 % (17963)------------------------------
% 9.59/2.52 % (17963)------------------------------
% 9.59/2.52 % (17967)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_17762 for (2987ds/1539Mi)
% 9.59/2.53 % (17968)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_17762 for (2986ds/408Mi)
% 9.59/2.54 % (17962)Instruction limit reached!
% 9.59/2.54 % (17962)------------------------------
% 9.59/2.54 % (17962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.59/2.54 % (17962)Termination reason: Unknown
% 9.59/2.54 % (17962)Termination phase: Saturation
% 9.59/2.54
% 9.59/2.54 % (17962)Memory used [KB]: 6908
% 9.59/2.54 % (17962)Time elapsed: 0.132 s
% 9.59/2.54 % (17962)Instructions burned: 268 (million)
% 9.59/2.54 % (17962)------------------------------
% 9.59/2.54 % (17962)------------------------------
% 9.59/2.55 % (17969)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_17762 for (2986ds/5205Mi)
% 9.59/2.59 % (17947)Instruction limit reached!
% 9.59/2.59 % (17947)------------------------------
% 9.59/2.59 % (17947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.59/2.59 % (17947)Termination reason: Unknown
% 9.59/2.59 % (17947)Termination phase: Saturation
% 9.59/2.59
% 9.59/2.59 % (17947)Memory used [KB]: 7931
% 9.59/2.59 % (17947)Time elapsed: 0.449 s
% 9.59/2.59 % (17947)Instructions burned: 988 (million)
% 9.59/2.59 % (17947)------------------------------
% 9.59/2.59 % (17947)------------------------------
% 10.30/2.61 % (17970)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_17762 for (2986ds/1913Mi)
% 10.30/2.71 % (17968)Instruction limit reached!
% 10.30/2.71 % (17968)------------------------------
% 10.30/2.71 % (17968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.71 % (17968)Termination reason: Unknown
% 10.30/2.71 % (17968)Termination phase: Saturation
% 10.30/2.71
% 10.30/2.71 % (17968)Memory used [KB]: 6780
% 10.30/2.71 % (17968)Time elapsed: 0.183 s
% 10.30/2.71 % (17968)Instructions burned: 408 (million)
% 10.30/2.71 % (17968)------------------------------
% 10.30/2.71 % (17968)------------------------------
% 10.30/2.73 % (17971)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_17762 for (2984ds/4350Mi)
% 10.30/2.76 % (17955)Instruction limit reached!
% 10.30/2.76 % (17955)------------------------------
% 10.30/2.76 % (17955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.30/2.76 % (17955)Termination reason: Unknown
% 10.30/2.76 % (17955)Termination phase: Saturation
% 10.30/2.76
% 10.30/2.76 % (17955)Memory used [KB]: 6908
% 10.30/2.76 % (17955)Time elapsed: 0.472 s
% 10.30/2.76 % (17955)Instructions burned: 922 (million)
% 10.30/2.76 % (17955)------------------------------
% 10.30/2.76 % (17955)------------------------------
% 10.30/2.78 % (17972)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_17762 for (2984ds/68Mi)
% 10.96/2.81 % (17972)Instruction limit reached!
% 10.96/2.81 % (17972)------------------------------
% 10.96/2.81 % (17972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.96/2.81 % (17972)Termination reason: Unknown
% 10.96/2.81 % (17972)Termination phase: Saturation
% 10.96/2.81
% 10.96/2.81 % (17972)Memory used [KB]: 6012
% 10.96/2.81 % (17972)Time elapsed: 0.035 s
% 10.96/2.81 % (17972)Instructions burned: 68 (million)
% 10.96/2.81 % (17972)------------------------------
% 10.96/2.81 % (17972)------------------------------
% 10.96/2.82 % (17973)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_17762 for (2983ds/358Mi)
% 10.96/2.88 % (17961)Instruction limit reached!
% 10.96/2.88 % (17961)------------------------------
% 10.96/2.88 % (17961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.96/2.88 % (17961)Termination reason: Unknown
% 10.96/2.88 % (17961)Termination phase: Saturation
% 10.96/2.88
% 10.96/2.88 % (17961)Memory used [KB]: 7419
% 10.96/2.88 % (17961)Time elapsed: 0.489 s
% 10.96/2.88 % (17961)Instructions burned: 1021 (million)
% 10.96/2.88 % (17961)------------------------------
% 10.96/2.88 % (17961)------------------------------
% 11.51/2.91 % (17974)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_17762 for (2983ds/31Mi)
% 11.51/2.93 % (17974)Instruction limit reached!
% 11.51/2.93 % (17974)------------------------------
% 11.51/2.93 % (17974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.51/2.93 % (17974)Termination reason: Unknown
% 11.51/2.93 % (17974)Termination phase: Saturation
% 11.51/2.93
% 11.51/2.93 % (17974)Memory used [KB]: 5756
% 11.51/2.93 % (17974)Time elapsed: 0.042 s
% 11.51/2.93 % (17974)Instructions burned: 33 (million)
% 11.51/2.93 % (17974)------------------------------
% 11.51/2.93 % (17974)------------------------------
% 11.51/2.95 % (17975)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_17762 for (2982ds/279Mi)
% 11.51/2.96 % (17975)Refutation not found, incomplete strategy
% 11.51/2.96 % (17975)------------------------------
% 11.51/2.96 % (17975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.51/2.96 % (17975)Termination reason: Refutation not found, incomplete strategy
% 11.51/2.96
% 11.51/2.96
% 11.51/2.96 % (17975)Memory used [KB]: 5628
% 11.51/2.96 % (17975)Time elapsed: 0.008 s
% 11.51/2.96 % (17975)Instructions burned: 14 (million)
% 11.51/2.96 % (17975)------------------------------
% 11.51/2.96 % (17975)------------------------------
% 11.51/2.98 % (17973)Instruction limit reached!
% 11.51/2.98 % (17973)------------------------------
% 11.51/2.98 % (17973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.51/2.98 % (17973)Termination reason: Unknown
% 11.51/2.98 % (17973)Termination phase: Saturation
% 11.51/2.98
% 11.51/2.98 % (17973)Memory used [KB]: 6396
% 11.51/2.98 % (17973)Time elapsed: 0.164 s
% 11.51/2.98 % (17973)Instructions burned: 358 (million)
% 11.51/2.98 % (17973)------------------------------
% 11.51/2.98 % (17973)------------------------------
% 11.51/2.98 % (17976)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_17762 for (2982ds/258Mi)
% 11.51/3.01 % (17977)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_17762 for (2982ds/26Mi)
% 13.95/3.02 % (17977)Instruction limit reached!
% 13.95/3.02 % (17977)------------------------------
% 13.95/3.02 % (17977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.95/3.02 % (17977)Termination reason: Unknown
% 13.95/3.02 % (17977)Termination phase: Saturation
% 13.95/3.02
% 13.95/3.02 % (17977)Memory used [KB]: 5756
% 13.95/3.02 % (17977)Time elapsed: 0.014 s
% 13.95/3.02 % (17977)Instructions burned: 26 (million)
% 13.95/3.02 % (17977)------------------------------
% 13.95/3.02 % (17977)------------------------------
% 13.95/3.04 % (17978)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_17762 for (2981ds/995Mi)
% 13.95/3.10 % (17976)Instruction limit reached!
% 13.95/3.10 % (17976)------------------------------
% 13.95/3.10 % (17976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.95/3.10 % (17976)Termination reason: Unknown
% 13.95/3.10 % (17976)Termination phase: Saturation
% 13.95/3.10
% 13.95/3.10 % (17976)Memory used [KB]: 6652
% 13.95/3.10 % (17976)Time elapsed: 0.129 s
% 13.95/3.10 % (17976)Instructions burned: 260 (million)
% 13.95/3.10 % (17976)------------------------------
% 13.95/3.10 % (17976)------------------------------
% 13.95/3.11 % (17980)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_17762 for (2981ds/373Mi)
% 14.94/3.22 % (17967)Instruction limit reached!
% 14.94/3.22 % (17967)------------------------------
% 14.94/3.22 % (17967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.94/3.22 % (17967)Termination reason: Unknown
% 14.94/3.22 % (17967)Termination phase: Saturation
% 14.94/3.22
% 14.94/3.22 % (17967)Memory used [KB]: 8059
% 14.94/3.22 % (17967)Time elapsed: 0.727 s
% 14.94/3.22 % (17967)Instructions burned: 1539 (million)
% 14.94/3.22 % (17967)------------------------------
% 14.94/3.22 % (17967)------------------------------
% 14.94/3.23 % (17980)Instruction limit reached!
% 14.94/3.23 % (17980)------------------------------
% 14.94/3.23 % (17980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.94/3.23 % (17980)Termination reason: Unknown
% 14.94/3.23 % (17980)Termination phase: Saturation
% 14.94/3.23
% 14.94/3.23 % (17980)Memory used [KB]: 6908
% 14.94/3.23 % (17980)Time elapsed: 0.121 s
% 14.94/3.23 % (17980)Instructions burned: 375 (million)
% 14.94/3.23 % (17980)------------------------------
% 14.94/3.23 % (17980)------------------------------
% 14.94/3.24 % (17981)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_17762 for (2979ds/253Mi)
% 14.94/3.24 % (17982)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_17762 for (2979ds/832Mi)
% 15.49/3.32 % (17981)Instruction limit reached!
% 15.49/3.32 % (17981)------------------------------
% 15.49/3.32 % (17981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.49/3.32 % (17981)Termination reason: Unknown
% 15.49/3.32 % (17981)Termination phase: Saturation
% 15.49/3.32
% 15.49/3.32 % (17981)Memory used [KB]: 6268
% 15.49/3.32 % (17981)Time elapsed: 0.081 s
% 15.49/3.32 % (17981)Instructions burned: 253 (million)
% 15.49/3.32 % (17981)------------------------------
% 15.49/3.32 % (17981)------------------------------
% 15.49/3.33 % (17983)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_17762 for (2978ds/668Mi)
% 15.99/3.42 % (17970)Instruction limit reached!
% 15.99/3.42 % (17970)------------------------------
% 15.99/3.42 % (17970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.99/3.42 % (17970)Termination reason: Unknown
% 15.99/3.42 % (17970)Termination phase: Saturation
% 15.99/3.42
% 15.99/3.42 % (17970)Memory used [KB]: 4221
% 15.99/3.42 % (17970)Time elapsed: 0.812 s
% 15.99/3.42 % (17970)Instructions burned: 1914 (million)
% 15.99/3.42 % (17970)------------------------------
% 15.99/3.42 % (17970)------------------------------
% 15.99/3.44 % (17984)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=40:si=on:rtra=on_0 on DTF2THF_17762 for (2977ds/40Mi)
% 15.99/3.46 % (17984)Instruction limit reached!
% 15.99/3.46 % (17984)------------------------------
% 15.99/3.46 % (17984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.99/3.46 % (17984)Termination reason: Unknown
% 15.99/3.46 % (17984)Termination phase: Saturation
% 15.99/3.46
% 15.99/3.46 % (17984)Memory used [KB]: 5756
% 15.99/3.46 % (17984)Time elapsed: 0.023 s
% 15.99/3.46 % (17984)Instructions burned: 41 (million)
% 15.99/3.46 % (17984)------------------------------
% 15.99/3.46 % (17984)------------------------------
% 15.99/3.48 % (17986)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_17762 for (2977ds/294Mi)
% 15.99/3.50 % (17978)Instruction limit reached!
% 15.99/3.50 % (17978)------------------------------
% 15.99/3.50 % (17978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.99/3.50 % (17978)Termination reason: Unknown
% 15.99/3.50 % (17978)Termination phase: Saturation
% 15.99/3.50
% 15.99/3.50 % (17978)Memory used [KB]: 7164
% 15.99/3.50 % (17978)Time elapsed: 0.459 s
% 15.99/3.50 % (17978)Instructions burned: 996 (million)
% 15.99/3.50 % (17978)------------------------------
% 15.99/3.50 % (17978)------------------------------
% 16.84/3.52 % (17987)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_17762 for (2977ds/187Mi)
% 16.84/3.55 % (17982)Instruction limit reached!
% 16.84/3.55 % (17982)------------------------------
% 16.84/3.55 % (17982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.84/3.55 % (17982)Termination reason: Unknown
% 16.84/3.55 % (17982)Termination phase: Saturation
% 16.84/3.55
% 16.84/3.55 % (17982)Memory used [KB]: 6012
% 16.84/3.55 % (17982)Time elapsed: 0.309 s
% 16.84/3.55 % (17982)Instructions burned: 832 (million)
% 16.84/3.55 % (17982)------------------------------
% 16.84/3.55 % (17982)------------------------------
% 16.84/3.57 % (17988)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_17762 for (2976ds/371Mi)
% 17.46/3.61 % (17983)Instruction limit reached!
% 17.46/3.61 % (17983)------------------------------
% 17.46/3.61 % (17983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.61 % (17983)Termination reason: Unknown
% 17.46/3.61 % (17983)Termination phase: Saturation
% 17.46/3.61
% 17.46/3.61 % (17983)Memory used [KB]: 11769
% 17.46/3.61 % (17983)Time elapsed: 0.245 s
% 17.46/3.61 % (17983)Instructions burned: 669 (million)
% 17.46/3.61 % (17983)------------------------------
% 17.46/3.61 % (17983)------------------------------
% 17.46/3.61 % (17986)Instruction limit reached!
% 17.46/3.61 % (17986)------------------------------
% 17.46/3.61 % (17986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.61 % (17986)Termination reason: Unknown
% 17.46/3.61 % (17986)Termination phase: Saturation
% 17.46/3.61
% 17.46/3.61 % (17986)Memory used [KB]: 6396
% 17.46/3.61 % (17986)Time elapsed: 0.138 s
% 17.46/3.61 % (17986)Instructions burned: 294 (million)
% 17.46/3.61 % (17986)------------------------------
% 17.46/3.61 % (17986)------------------------------
% 17.46/3.61 % (17987)Instruction limit reached!
% 17.46/3.61 % (17987)------------------------------
% 17.46/3.61 % (17987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.61 % (17987)Termination reason: Unknown
% 17.46/3.61 % (17987)Termination phase: Saturation
% 17.46/3.61
% 17.46/3.61 % (17987)Memory used [KB]: 6908
% 17.46/3.61 % (17987)Time elapsed: 0.107 s
% 17.46/3.61 % (17987)Instructions burned: 189 (million)
% 17.46/3.61 % (17987)------------------------------
% 17.46/3.61 % (17987)------------------------------
% 17.46/3.62 % (17991)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_17762 for (2976ds/316Mi)
% 17.46/3.62 % (17989)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_17762 for (2976ds/1827Mi)
% 17.46/3.63 % (17991)Refutation not found, incomplete strategy
% 17.46/3.63 % (17991)------------------------------
% 17.46/3.63 % (17991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.63 % (17991)Termination reason: Refutation not found, incomplete strategy
% 17.46/3.63
% 17.46/3.63
% 17.46/3.63 % (17991)Memory used [KB]: 5628
% 17.46/3.63 % (17991)Time elapsed: 0.006 s
% 17.46/3.63 % (17991)Instructions burned: 14 (million)
% 17.46/3.63 % (17991)------------------------------
% 17.46/3.63 % (17991)------------------------------
% 17.46/3.63 % (17990)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_17762 for (2976ds/70Mi)
% 17.46/3.64 % (17992)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_17762 for (2975ds/932Mi)
% 17.46/3.66 % (17990)Instruction limit reached!
% 17.46/3.66 % (17990)------------------------------
% 17.46/3.66 % (17990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.66 % (17990)Termination reason: Unknown
% 17.46/3.66 % (17990)Termination phase: Saturation
% 17.46/3.66
% 17.46/3.66 % (17990)Memory used [KB]: 1663
% 17.46/3.66 % (17990)Time elapsed: 0.035 s
% 17.46/3.66 % (17990)Instructions burned: 70 (million)
% 17.46/3.66 % (17990)------------------------------
% 17.46/3.66 % (17990)------------------------------
% 17.46/3.68 % (17993)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_17762 for (2975ds/4714Mi)
% 17.46/3.69 % (17993)Refutation not found, incomplete strategy
% 17.46/3.69 % (17993)------------------------------
% 17.46/3.69 % (17993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.69 % (17993)Termination reason: Refutation not found, incomplete strategy
% 17.46/3.69
% 17.46/3.69
% 17.46/3.69 % (17993)Memory used [KB]: 5628
% 17.46/3.69 % (17993)Time elapsed: 0.029 s
% 17.46/3.69 % (17993)Instructions burned: 14 (million)
% 17.46/3.69 % (17993)------------------------------
% 17.46/3.69 % (17993)------------------------------
% 18.31/3.70 % (17994)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_17762 for (2975ds/8250Mi)
% 18.31/3.75 % (17988)Instruction limit reached!
% 18.31/3.75 % (17988)------------------------------
% 18.31/3.75 % (17988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.31/3.75 % (17988)Termination reason: Unknown
% 18.31/3.75 % (17988)Termination phase: Saturation
% 18.31/3.75
% 18.31/3.75 % (17988)Memory used [KB]: 7036
% 18.31/3.75 % (17988)Time elapsed: 0.184 s
% 18.31/3.75 % (17988)Instructions burned: 371 (million)
% 18.31/3.75 % (17988)------------------------------
% 18.31/3.75 % (17988)------------------------------
% 18.31/3.77 % (17996)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_17762 for (2974ds/770Mi)
% 18.31/3.77 % (17996)Refutation not found, incomplete strategy
% 18.31/3.77 % (17996)------------------------------
% 18.31/3.77 % (17996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.31/3.77 % (17996)Termination reason: Refutation not found, incomplete strategy
% 18.31/3.77
% 18.31/3.77
% 18.31/3.77 % (17996)Memory used [KB]: 5628
% 18.31/3.77 % (17996)Time elapsed: 0.006 s
% 18.31/3.77 % (17996)Instructions burned: 8 (million)
% 18.31/3.77 % (17996)------------------------------
% 18.31/3.77 % (17996)------------------------------
% 18.31/3.79 % (17997)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_17762 for (2974ds/794Mi)
% 19.12/3.97 % (17992)Instruction limit reached!
% 19.12/3.97 % (17992)------------------------------
% 19.12/3.97 % (17992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.12/3.97 % (17992)Termination reason: Unknown
% 19.12/3.97 % (17992)Termination phase: Saturation
% 19.12/3.97
% 19.12/3.97 % (17992)Memory used [KB]: 9466
% 19.12/3.97 % (17992)Time elapsed: 0.359 s
% 19.12/3.97 % (17992)Instructions burned: 934 (million)
% 19.12/3.97 % (17992)------------------------------
% 19.12/3.97 % (17992)------------------------------
% 19.12/3.99 % (17998)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_17762 for (2972ds/464Mi)
% 21.49/4.12 % (17997)Instruction limit reached!
% 21.49/4.12 % (17997)------------------------------
% 21.49/4.12 % (17997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.12 % (17997)Termination reason: Unknown
% 21.49/4.12 % (17997)Termination phase: Saturation
% 21.49/4.12
% 21.49/4.12 % (17997)Memory used [KB]: 3965
% 21.49/4.12 % (17997)Time elapsed: 0.353 s
% 21.49/4.12 % (17997)Instructions burned: 796 (million)
% 21.49/4.12 % (17997)------------------------------
% 21.49/4.12 % (17997)------------------------------
% 21.49/4.13 % (17999)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_17762 for (2970ds/1376Mi)
% 21.99/4.22 % (17998)Instruction limit reached!
% 21.99/4.22 % (17998)------------------------------
% 21.99/4.22 % (17998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.99/4.22 % (17998)Termination reason: Unknown
% 21.99/4.22 % (17998)Termination phase: Saturation
% 21.99/4.22
% 21.99/4.22 % (17998)Memory used [KB]: 6396
% 21.99/4.22 % (17998)Time elapsed: 0.229 s
% 21.99/4.22 % (17998)Instructions burned: 465 (million)
% 21.99/4.22 % (17998)------------------------------
% 21.99/4.22 % (17998)------------------------------
% 21.99/4.23 % (18000)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_17762 for (2969ds/906Mi)
% 22.53/4.33 % (17971)Refutation not found, non-redundant clauses discarded% (17971)------------------------------
% 22.53/4.33 % (17971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.53/4.33 % (17971)Termination reason: Refutation not found, non-redundant clauses discarded
% 22.53/4.33
% 22.53/4.33 % (17971)Memory used [KB]: 8955
% 22.53/4.33 % (17971)Time elapsed: 1.609 s
% 22.53/4.33 % (17971)Instructions burned: 3783 (million)
% 22.53/4.33 % (17971)------------------------------
% 22.53/4.33 % (17971)------------------------------
% 22.53/4.35 % (18001)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_17762 for (2968ds/434Mi)
% 22.99/4.46 % (17966)Instruction limit reached!
% 22.99/4.46 % (17966)------------------------------
% 22.99/4.46 % (17966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.99/4.46 % (17966)Termination reason: Unknown
% 22.99/4.46 % (17966)Termination phase: Saturation
% 22.99/4.46
% 22.99/4.46 % (17966)Memory used [KB]: 10106
% 22.99/4.46 % (17966)Time elapsed: 1.982 s
% 22.99/4.46 % (17966)Instructions burned: 4437 (million)
% 22.99/4.46 % (17966)------------------------------
% 22.99/4.46 % (17966)------------------------------
% 22.99/4.47 % (18002)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_17762 for (2967ds/865Mi)
% 22.99/4.49 % (17989)Instruction limit reached!
% 22.99/4.49 % (17989)------------------------------
% 22.99/4.49 % (17989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.99/4.49 % (17989)Termination reason: Unknown
% 22.99/4.49 % (17989)Termination phase: Saturation
% 22.99/4.49
% 22.99/4.49 % (17989)Memory used [KB]: 8315
% 22.99/4.49 % (17989)Time elapsed: 0.870 s
% 22.99/4.49 % (17989)Instructions burned: 1827 (million)
% 22.99/4.49 % (17989)------------------------------
% 22.99/4.49 % (17989)------------------------------
% 23.36/4.51 % (18003)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_17762 for (2967ds/593Mi)
% 23.36/4.55 % (18001)Instruction limit reached!
% 23.36/4.55 % (18001)------------------------------
% 23.36/4.55 % (18001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.36/4.55 % (18001)Termination reason: Unknown
% 23.36/4.55 % (18001)Termination phase: Saturation
% 23.36/4.55
% 23.36/4.55 % (18001)Memory used [KB]: 6908
% 23.36/4.55 % (18001)Time elapsed: 0.206 s
% 23.36/4.55 % (18001)Instructions burned: 435 (million)
% 23.36/4.55 % (18001)------------------------------
% 23.36/4.55 % (18001)------------------------------
% 23.36/4.57 % (18004)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_17762 for (2966ds/443Mi)
% 23.78/4.67 % (18000)Instruction limit reached!
% 23.78/4.67 % (18000)------------------------------
% 23.78/4.67 % (18000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.78/4.67 % (18000)Termination reason: Unknown
% 23.78/4.67 % (18000)Termination phase: Saturation
% 23.78/4.67
% 23.78/4.67 % (18000)Memory used [KB]: 11513
% 23.78/4.67 % (18000)Time elapsed: 0.433 s
% 23.78/4.67 % (18000)Instructions burned: 906 (million)
% 23.78/4.67 % (18000)------------------------------
% 23.78/4.67 % (18000)------------------------------
% 23.78/4.69 % (18005)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_17762 for (2965ds/594Mi)
% 24.42/4.77 % (17999)Instruction limit reached!
% 24.42/4.77 % (17999)------------------------------
% 24.42/4.77 % (17999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.42/4.77 % (17999)Termination reason: Unknown
% 24.42/4.77 % (17999)Termination phase: Saturation
% 24.42/4.77
% 24.42/4.77 % (17999)Memory used [KB]: 13048
% 24.42/4.77 % (17999)Time elapsed: 0.646 s
% 24.42/4.77 % (17999)Instructions burned: 1377 (million)
% 24.42/4.77 % (17999)------------------------------
% 24.42/4.77 % (17999)------------------------------
% 24.42/4.78 % (18004)Instruction limit reached!
% 24.42/4.78 % (18004)------------------------------
% 24.42/4.78 % (18004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.42/4.78 % (18004)Termination reason: Unknown
% 24.42/4.78 % (18004)Termination phase: Saturation
% 24.42/4.78
% 24.42/4.78 % (18004)Memory used [KB]: 6908
% 24.42/4.78 % (18004)Time elapsed: 0.206 s
% 24.42/4.78 % (18004)Instructions burned: 444 (million)
% 24.42/4.78 % (18004)------------------------------
% 24.42/4.78 % (18004)------------------------------
% 24.42/4.79 % (18006)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_17762 for (2964ds/327Mi)
% 24.42/4.79 % (18003)Instruction limit reached!
% 24.42/4.79 % (18003)------------------------------
% 24.42/4.79 % (18003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.42/4.79 % (18003)Termination reason: Unknown
% 24.42/4.79 % (18003)Termination phase: Saturation
% 24.42/4.79
% 24.42/4.79 % (18003)Memory used [KB]: 7036
% 24.42/4.79 % (18003)Time elapsed: 0.283 s
% 24.42/4.79 % (18003)Instructions burned: 593 (million)
% 24.42/4.79 % (18003)------------------------------
% 24.42/4.79 % (18003)------------------------------
% 24.42/4.79 % (17969)Instruction limit reached!
% 24.42/4.79 % (17969)------------------------------
% 24.42/4.79 % (17969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.42/4.79 % (17969)Termination reason: Unknown
% 24.42/4.79 % (17969)Termination phase: Saturation
% 24.42/4.79
% 24.42/4.79 % (17969)Memory used [KB]: 17142
% 24.42/4.79 % (17969)Time elapsed: 2.244 s
% 24.42/4.79 % (17969)Instructions burned: 5208 (million)
% 24.42/4.79 % (17969)------------------------------
% 24.42/4.79 % (17969)------------------------------
% 23.53/4.80 % (18007)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_17762 for (2964ds/5411Mi)
% 23.53/4.81 % (18008)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_17762 for (2964ds/1762Mi)
% 23.53/4.81 % (18007)Refutation not found, incomplete strategy
% 23.53/4.81 % (18007)------------------------------
% 23.53/4.81 % (18007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.53/4.81 % (18007)Termination reason: Refutation not found, incomplete strategy
% 23.53/4.81
% 23.53/4.81
% 23.53/4.81 % (18007)Memory used [KB]: 5628
% 23.53/4.81 % (18007)Time elapsed: 0.007 s
% 23.53/4.81 % (18007)Instructions burned: 10 (million)
% 23.53/4.81 % (18007)------------------------------
% 23.53/4.81 % (18007)------------------------------
% 23.53/4.81 % (18009)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_17762 for (2964ds/96Mi)
% 23.53/4.82 % (18010)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_17762 for (2963ds/503Mi)
% 23.53/4.86 % (18009)Instruction limit reached!
% 23.53/4.86 % (18009)------------------------------
% 23.53/4.86 % (18009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.53/4.86 % (18009)Termination reason: Unknown
% 23.53/4.86 % (18009)Termination phase: Saturation
% 23.53/4.86
% 23.53/4.86 % (18009)Memory used [KB]: 6012
% 23.53/4.86 % (18009)Time elapsed: 0.048 s
% 23.53/4.86 % (18009)Instructions burned: 97 (million)
% 23.53/4.86 % (18009)------------------------------
% 23.53/4.86 % (18009)------------------------------
% 23.53/4.87 % (18002)Instruction limit reached!
% 23.53/4.87 % (18002)------------------------------
% 23.53/4.87 % (18002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.53/4.87 % (18002)Termination reason: Unknown
% 23.53/4.87 % (18002)Termination phase: Saturation
% 23.53/4.87
% 23.53/4.87 % (18002)Memory used [KB]: 7931
% 23.53/4.87 % (18002)Time elapsed: 0.400 s
% 23.53/4.87 % (18002)Instructions burned: 867 (million)
% 23.53/4.87 % (18002)------------------------------
% 23.53/4.87 % (18002)------------------------------
% 23.53/4.87 % (18011)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_17762 for (2963ds/90Mi)
% 23.53/4.89 % (18012)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_17762 for (2963ds/593Mi)
% 26.38/4.92 % (18011)Instruction limit reached!
% 26.38/4.92 % (18011)------------------------------
% 26.38/4.92 % (18011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.38/4.92 % (18011)Termination reason: Unknown
% 26.38/4.92 % (18011)Termination phase: Saturation
% 26.38/4.92
% 26.38/4.92 % (18011)Memory used [KB]: 5884
% 26.38/4.92 % (18011)Time elapsed: 0.044 s
% 26.38/4.92 % (18011)Instructions burned: 91 (million)
% 26.38/4.92 % (18011)------------------------------
% 26.38/4.92 % (18011)------------------------------
% 26.38/4.93 % (18013)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_17762 for (2962ds/1512Mi)
% 26.38/4.95 % (18006)Instruction limit reached!
% 26.38/4.95 % (18006)------------------------------
% 26.38/4.95 % (18006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.38/4.95 % (18006)Termination reason: Unknown
% 26.38/4.95 % (18006)Termination phase: Saturation
% 26.38/4.95
% 26.38/4.95 % (18006)Memory used [KB]: 6908
% 26.38/4.95 % (18006)Time elapsed: 0.160 s
% 26.38/4.95 % (18006)Instructions burned: 327 (million)
% 26.38/4.95 % (18006)------------------------------
% 26.38/4.95 % (18006)------------------------------
% 26.38/4.96 % (18014)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_17762 for (2962ds/569Mi)
% 26.38/4.97 % (18005)Instruction limit reached!
% 26.38/4.97 % (18005)------------------------------
% 26.38/4.97 % (18005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.38/4.97 % (18005)Termination reason: Unknown
% 26.38/4.97 % (18005)Termination phase: Saturation
% 26.38/4.97
% 26.38/4.97 % (18005)Memory used [KB]: 6652
% 26.38/4.97 % (18005)Time elapsed: 0.299 s
% 26.38/4.97 % (18005)Instructions burned: 595 (million)
% 26.38/4.97 % (18005)------------------------------
% 26.38/4.97 % (18005)------------------------------
% 26.38/4.98 % (18013)Refutation not found, incomplete strategy
% 26.38/4.98 % (18013)------------------------------
% 26.38/4.98 % (18013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.38/4.98 % (18013)Termination reason: Refutation not found, incomplete strategy
% 26.38/4.98
% 26.38/4.98
% 26.38/4.98 % (18013)Memory used [KB]: 5884
% 26.38/4.98 % (18013)Time elapsed: 0.049 s
% 26.38/4.98 % (18013)Instructions burned: 95 (million)
% 26.38/4.98 % (18013)------------------------------
% 26.38/4.98 % (18013)------------------------------
% 26.38/4.99 % (18015)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_17762 for (2962ds/501Mi)
% 26.38/5.00 % (18016)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_17762 for (2962ds/562Mi)
% 27.75/5.03 % (18015)Refutation not found, incomplete strategy
% 27.75/5.03 % (18015)------------------------------
% 27.75/5.03 % (18015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.75/5.03 % (18015)Termination reason: Refutation not found, incomplete strategy
% 27.75/5.03
% 27.75/5.03
% 27.75/5.03 % (18015)Memory used [KB]: 6140
% 27.75/5.03 % (18015)Time elapsed: 0.045 s
% 27.75/5.03 % (18015)Instructions burned: 94 (million)
% 27.75/5.03 % (18015)------------------------------
% 27.75/5.03 % (18015)------------------------------
% 27.75/5.04 % (18010)Instruction limit reached!
% 27.75/5.04 % (18010)------------------------------
% 27.75/5.04 % (18010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.75/5.04 % (18010)Termination reason: Unknown
% 27.75/5.04 % (18010)Termination phase: Saturation
% 27.75/5.04
% 27.75/5.04 % (18010)Memory used [KB]: 6652
% 27.75/5.04 % (18010)Time elapsed: 0.221 s
% 27.75/5.04 % (18010)Instructions burned: 504 (million)
% 27.75/5.04 % (18010)------------------------------
% 27.75/5.04 % (18010)------------------------------
% 27.75/5.05 % (18017)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_17762 for (2961ds/406Mi)
% 27.75/5.06 % (18018)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_17762 for (2961ds/582Mi)
% 28.31/5.17 % (18012)Instruction limit reached!
% 28.31/5.17 % (18012)------------------------------
% 28.31/5.17 % (18012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.31/5.17 % (18012)Termination reason: Unknown
% 28.31/5.17 % (18012)Termination phase: Saturation
% 28.31/5.17
% 28.31/5.17 % (18012)Memory used [KB]: 7036
% 28.31/5.17 % (18012)Time elapsed: 0.288 s
% 28.31/5.17 % (18012)Instructions burned: 593 (million)
% 28.31/5.17 % (18012)------------------------------
% 28.31/5.17 % (18012)------------------------------
% 28.31/5.19 % (18019)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_17762 for (2960ds/456Mi)
% 28.70/5.21 % (18014)Instruction limit reached!
% 28.70/5.21 % (18014)------------------------------
% 28.70/5.21 % (18014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.70/5.21 % (18014)Termination reason: Unknown
% 28.70/5.21 % (18014)Termination phase: Saturation
% 28.70/5.21
% 28.70/5.21 % (18014)Memory used [KB]: 6780
% 28.70/5.21 % (18014)Time elapsed: 0.251 s
% 28.70/5.21 % (18014)Instructions burned: 570 (million)
% 28.70/5.21 % (18014)------------------------------
% 28.70/5.21 % (18014)------------------------------
% 28.70/5.23 % (18020)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_17762 for (2959ds/393Mi)
% 28.70/5.25 % (18017)Instruction limit reached!
% 28.70/5.25 % (18017)------------------------------
% 28.70/5.25 % (18017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.70/5.25 % (18017)Termination reason: Unknown
% 28.70/5.25 % (18017)Termination phase: Saturation
% 28.70/5.25
% 28.70/5.25 % (18017)Memory used [KB]: 6908
% 28.70/5.25 % (18017)Time elapsed: 0.207 s
% 28.70/5.25 % (18017)Instructions burned: 407 (million)
% 28.70/5.25 % (18017)------------------------------
% 28.70/5.25 % (18017)------------------------------
% 28.70/5.27 % (18021)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_17762 for (2959ds/1335Mi)
% 28.70/5.27 % (18016)Instruction limit reached!
% 28.70/5.27 % (18016)------------------------------
% 28.70/5.27 % (18016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.70/5.27 % (18016)Termination reason: Unknown
% 28.70/5.27 % (18016)Termination phase: Saturation
% 28.70/5.27
% 28.70/5.27 % (18016)Memory used [KB]: 7164
% 28.70/5.27 % (18016)Time elapsed: 0.274 s
% 28.70/5.27 % (18016)Instructions burned: 562 (million)
% 28.70/5.27 % (18016)------------------------------
% 28.70/5.27 % (18016)------------------------------
% 28.70/5.29 % (18022)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_17762 for (2959ds/3373Mi)
% 29.21/5.34 % (18018)Instruction limit reached!
% 29.21/5.34 % (18018)------------------------------
% 29.21/5.34 % (18018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.21/5.34 % (18018)Termination reason: Unknown
% 29.21/5.34 % (18018)Termination phase: Saturation
% 29.21/5.34
% 29.21/5.34 % (18018)Memory used [KB]: 6652
% 29.21/5.34 % (18018)Time elapsed: 0.283 s
% 29.21/5.34 % (18018)Instructions burned: 582 (million)
% 29.21/5.34 % (18018)------------------------------
% 29.21/5.34 % (18018)------------------------------
% 29.21/5.36 % (18023)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_17762 for (2958ds/474Mi)
% 29.72/5.41 % (18019)Instruction limit reached!
% 29.72/5.41 % (18019)------------------------------
% 29.72/5.41 % (18019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.72/5.41 % (18019)Termination reason: Unknown
% 29.72/5.41 % (18019)Termination phase: Saturation
% 29.72/5.41
% 29.72/5.41 % (18019)Memory used [KB]: 6908
% 29.72/5.41 % (18019)Time elapsed: 0.222 s
% 29.72/5.41 % (18019)Instructions burned: 456 (million)
% 29.72/5.41 % (18019)------------------------------
% 29.72/5.41 % (18019)------------------------------
% 29.72/5.43 % (18020)Instruction limit reached!
% 29.72/5.43 % (18020)------------------------------
% 29.72/5.43 % (18020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.72/5.43 % (18020)Termination reason: Unknown
% 29.72/5.43 % (18020)Termination phase: Saturation
% 29.72/5.43
% 29.72/5.43 % (18020)Memory used [KB]: 6908
% 29.72/5.43 % (18020)Time elapsed: 0.198 s
% 29.72/5.43 % (18020)Instructions burned: 393 (million)
% 29.72/5.43 % (18020)------------------------------
% 29.72/5.43 % (18020)------------------------------
% 29.72/5.43 % (18024)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_17762 for (2957ds/157Mi)
% 29.72/5.44 % (18025)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_17762 for (2957ds/590Mi)
% 30.36/5.50 % (18024)Instruction limit reached!
% 30.36/5.50 % (18024)------------------------------
% 30.36/5.50 % (18024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.36/5.50 % (18024)Termination reason: Unknown
% 30.36/5.50 % (18024)Termination phase: Saturation
% 30.36/5.50
% 30.36/5.50 % (18024)Memory used [KB]: 6268
% 30.36/5.50 % (18024)Time elapsed: 0.077 s
% 30.36/5.50 % (18024)Instructions burned: 158 (million)
% 30.36/5.50 % (18024)------------------------------
% 30.36/5.50 % (18024)------------------------------
% 30.36/5.52 % (18026)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_17762 for (2957ds/104Mi)
% 30.36/5.57 % (18026)Instruction limit reached!
% 30.36/5.57 % (18026)------------------------------
% 30.36/5.57 % (18026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.36/5.57 % (18026)Termination reason: Unknown
% 30.36/5.57 % (18026)Termination phase: Saturation
% 30.36/5.57
% 30.36/5.57 % (18026)Memory used [KB]: 5884
% 30.36/5.57 % (18026)Time elapsed: 0.051 s
% 30.36/5.57 % (18026)Instructions burned: 105 (million)
% 30.36/5.57 % (18026)------------------------------
% 30.36/5.57 % (18026)------------------------------
% 30.36/5.57 % (18008)Instruction limit reached!
% 30.36/5.57 % (18008)------------------------------
% 30.36/5.57 % (18008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.36/5.57 % (18008)Termination reason: Unknown
% 30.36/5.57 % (18008)Termination phase: Saturation
% 30.36/5.57
% 30.36/5.57 % (18008)Memory used [KB]: 7419
% 30.36/5.57 % (18008)Time elapsed: 0.765 s
% 30.36/5.57 % (18008)Instructions burned: 1762 (million)
% 30.36/5.57 % (18008)------------------------------
% 30.36/5.57 % (18008)------------------------------
% 30.36/5.58 % (18023)Instruction limit reached!
% 30.36/5.58 % (18023)------------------------------
% 30.36/5.58 % (18023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.36/5.58 % (18023)Termination reason: Unknown
% 30.36/5.58 % (18023)Termination phase: Saturation
% 30.36/5.58
% 30.36/5.58 % (18023)Memory used [KB]: 6908
% 30.36/5.58 % (18023)Time elapsed: 0.229 s
% 30.36/5.58 % (18023)Instructions burned: 474 (million)
% 30.36/5.58 % (18023)------------------------------
% 30.36/5.58 % (18023)------------------------------
% 30.36/5.58 % (18027)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_17762 for (2956ds/414Mi)
% 30.36/5.59 % (18028)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_17762 for (2956ds/715Mi)
% 30.93/5.60 % (18029)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_17762 for (2956ds/961Mi)
% 31.03/5.72 % (18025)Instruction limit reached!
% 31.03/5.72 % (18025)------------------------------
% 31.03/5.72 % (18025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.03/5.72 % (18025)Termination reason: Unknown
% 31.03/5.72 % (18025)Termination phase: Saturation
% 31.03/5.72
% 31.03/5.72 % (18025)Memory used [KB]: 6524
% 31.03/5.72 % (18025)Time elapsed: 0.280 s
% 31.03/5.72 % (18025)Instructions burned: 591 (million)
% 31.03/5.72 % (18025)------------------------------
% 31.03/5.72 % (18025)------------------------------
% 31.03/5.74 % (18030)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_17762 for (2954ds/1213Mi)
% 31.03/5.79 % (18027)Instruction limit reached!
% 31.03/5.79 % (18027)------------------------------
% 31.03/5.79 % (18027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.03/5.79 % (18027)Termination reason: Unknown
% 31.03/5.79 % (18027)Termination phase: Saturation
% 31.03/5.79
% 31.03/5.79 % (18027)Memory used [KB]: 6140
% 31.03/5.79 % (18027)Time elapsed: 0.204 s
% 31.03/5.79 % (18027)Instructions burned: 415 (million)
% 31.03/5.79 % (18027)------------------------------
% 31.03/5.79 % (18027)------------------------------
% 31.66/5.80 % (18031)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_17762 for (2954ds/1979Mi)
% 31.66/5.86 % (18028)Instruction limit reached!
% 31.66/5.86 % (18028)------------------------------
% 31.66/5.86 % (18028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.66/5.86 % (18028)Termination reason: Unknown
% 31.66/5.86 % (18028)Termination phase: Saturation
% 31.66/5.86
% 31.66/5.86 % (18028)Memory used [KB]: 3582
% 31.66/5.86 % (18028)Time elapsed: 0.273 s
% 31.66/5.86 % (18028)Instructions burned: 716 (million)
% 31.66/5.86 % (18028)------------------------------
% 31.66/5.86 % (18028)------------------------------
% 31.66/5.87 % (18032)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_17762 for (2953ds/481Mi)
% 31.66/5.89 % (18021)Instruction limit reached!
% 31.66/5.89 % (18021)------------------------------
% 31.66/5.89 % (18021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.66/5.89 % (18021)Termination reason: Unknown
% 31.66/5.89 % (18021)Termination phase: Saturation
% 31.66/5.89
% 31.66/5.89 % (18021)Memory used [KB]: 7675
% 31.66/5.89 % (18021)Time elapsed: 0.624 s
% 31.66/5.89 % (18021)Instructions burned: 1335 (million)
% 31.66/5.89 % (18021)------------------------------
% 31.66/5.89 % (18021)------------------------------
% 32.68/5.92 % (18033)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_17762 for (2953ds/783Mi)
% 34.64/6.04 % (18029)Instruction limit reached!
% 34.64/6.04 % (18029)------------------------------
% 34.64/6.04 % (18029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.64/6.04 % (18029)Termination reason: Unknown
% 34.64/6.04 % (18029)Termination phase: Saturation
% 34.64/6.04
% 34.64/6.04 % (18029)Memory used [KB]: 6652
% 34.64/6.04 % (18029)Time elapsed: 0.440 s
% 34.64/6.04 % (18029)Instructions burned: 962 (million)
% 34.64/6.04 % (18029)------------------------------
% 34.64/6.04 % (18029)------------------------------
% 34.64/6.06 % (18034)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_17762 for (2951ds/432Mi)
% 34.64/6.09 % (18032)Instruction limit reached!
% 34.64/6.09 % (18032)------------------------------
% 34.64/6.09 % (18032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.64/6.09 % (18032)Termination reason: Unknown
% 34.64/6.09 % (18032)Termination phase: Saturation
% 34.64/6.09
% 34.64/6.09 % (18032)Memory used [KB]: 7164
% 34.64/6.09 % (18032)Time elapsed: 0.231 s
% 34.64/6.09 % (18032)Instructions burned: 481 (million)
% 34.64/6.09 % (18032)------------------------------
% 34.64/6.09 % (18032)------------------------------
% 34.64/6.11 % (18035)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_17762 for (2951ds/1670Mi)
% 35.34/6.18 % (18033)Instruction limit reached!
% 35.34/6.18 % (18033)------------------------------
% 35.34/6.18 % (18033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.34/6.18 % (18033)Termination reason: Unknown
% 35.34/6.18 % (18033)Termination phase: Saturation
% 35.34/6.18
% 35.34/6.18 % (18033)Memory used [KB]: 7164
% 35.34/6.18 % (18033)Time elapsed: 0.296 s
% 35.34/6.18 % (18033)Instructions burned: 783 (million)
% 35.34/6.18 % (18033)------------------------------
% 35.34/6.18 % (18033)------------------------------
% 35.34/6.19 % (18036)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_17762 for (2950ds/90Mi)
% 35.69/6.22 % (18036)Instruction limit reached!
% 35.69/6.22 % (18036)------------------------------
% 35.69/6.22 % (18036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.69/6.22 % (18036)Termination reason: Unknown
% 35.69/6.22 % (18036)Termination phase: Saturation
% 35.69/6.22
% 35.69/6.22 % (18036)Memory used [KB]: 5884
% 35.69/6.22 % (18036)Time elapsed: 0.031 s
% 35.69/6.22 % (18036)Instructions burned: 92 (million)
% 35.69/6.22 % (18036)------------------------------
% 35.69/6.22 % (18036)------------------------------
% 35.69/6.23 % (18037)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_17762 for (2949ds/346Mi)
% 35.69/6.27 % (18034)Instruction limit reached!
% 35.69/6.27 % (18034)------------------------------
% 35.69/6.27 % (18034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.69/6.27 % (18034)Termination reason: Unknown
% 35.69/6.27 % (18034)Termination phase: Saturation
% 35.69/6.27
% 35.69/6.27 % (18034)Memory used [KB]: 7291
% 35.69/6.27 % (18034)Time elapsed: 0.232 s
% 35.69/6.27 % (18034)Instructions burned: 433 (million)
% 35.69/6.27 % (18034)------------------------------
% 35.69/6.27 % (18034)------------------------------
% 35.69/6.28 % (18038)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_17762 for (2949ds/401Mi)
% 36.35/6.33 % (18030)Instruction limit reached!
% 36.35/6.33 % (18030)------------------------------
% 36.35/6.33 % (18030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.35/6.33 % (18030)Termination reason: Unknown
% 36.35/6.33 % (18030)Termination phase: Saturation
% 36.35/6.33
% 36.35/6.33 % (18030)Memory used [KB]: 8187
% 36.35/6.33 % (18030)Time elapsed: 0.599 s
% 36.35/6.33 % (18030)Instructions burned: 1215 (million)
% 36.35/6.33 % (18030)------------------------------
% 36.35/6.33 % (18030)------------------------------
% 36.35/6.35 % (18040)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_17762 for (2948ds/6454Mi)
% 36.35/6.37 % (18037)Instruction limit reached!
% 36.35/6.37 % (18037)------------------------------
% 36.35/6.37 % (18037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.35/6.37 % (18037)Termination reason: Unknown
% 36.35/6.37 % (18037)Termination phase: Saturation
% 36.35/6.37
% 36.35/6.37 % (18037)Memory used [KB]: 7036
% 36.35/6.37 % (18037)Time elapsed: 0.136 s
% 36.35/6.37 % (18037)Instructions burned: 346 (million)
% 36.35/6.37 % (18037)------------------------------
% 36.35/6.37 % (18037)------------------------------
% 36.35/6.39 % (18041)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_17762 for (2948ds/283Mi)
% 36.83/6.47 % (18038)Instruction limit reached!
% 36.83/6.47 % (18038)------------------------------
% 36.83/6.47 % (18038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.83/6.47 % (18038)Termination reason: Unknown
% 36.83/6.47 % (18038)Termination phase: Saturation
% 36.83/6.47
% 36.83/6.47 % (18038)Memory used [KB]: 7675
% 36.83/6.47 % (18038)Time elapsed: 0.189 s
% 36.83/6.47 % (18038)Instructions burned: 403 (million)
% 36.83/6.47 % (18038)------------------------------
% 36.83/6.47 % (18038)------------------------------
% 36.83/6.49 % (18042)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_17762 for (2947ds/865Mi)
% 37.33/6.52 % (18041)Instruction limit reached!
% 37.33/6.52 % (18041)------------------------------
% 37.33/6.52 % (18041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.33/6.52 % (18041)Termination reason: Unknown
% 37.33/6.52 % (18041)Termination phase: Saturation
% 37.33/6.52
% 37.33/6.52 % (18041)Memory used [KB]: 6908
% 37.33/6.52 % (18041)Time elapsed: 0.134 s
% 37.33/6.52 % (18041)Instructions burned: 284 (million)
% 37.33/6.52 % (18041)------------------------------
% 37.33/6.52 % (18041)------------------------------
% 37.33/6.55 % (18044)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_17762 for (2946ds/4528Mi)
% 37.33/6.55 % (18044)Refutation not found, incomplete strategy
% 37.33/6.55 % (18044)------------------------------
% 37.33/6.55 % (18044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.33/6.55 % (18044)Termination reason: Refutation not found, incomplete strategy
% 37.33/6.55
% 37.33/6.55
% 37.33/6.55 % (18044)Memory used [KB]: 1151
% 37.33/6.55 % (18044)Time elapsed: 0.004 s
% 37.33/6.55 % (18044)Instructions burned: 9 (million)
% 37.33/6.55 % (18044)------------------------------
% 37.33/6.55 % (18044)------------------------------
% 37.33/6.58 % (18045)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_17762 for (2946ds/1001Mi)
% 38.10/6.77 % (18031)Instruction limit reached!
% 38.10/6.77 % (18031)------------------------------
% 38.10/6.77 % (18031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.10/6.77 % (18031)Termination reason: Unknown
% 38.10/6.77 % (18031)Termination phase: Saturation
% 38.10/6.77
% 38.10/6.77 % (18031)Memory used [KB]: 8059
% 38.10/6.77 % (18031)Time elapsed: 0.967 s
% 38.10/6.77 % (18031)Instructions burned: 1979 (million)
% 38.10/6.77 % (18031)------------------------------
% 38.10/6.77 % (18031)------------------------------
% 38.10/6.78 % (18047)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_17762 for (2944ds/102Mi)
% 38.10/6.78 % (17994)Instruction limit reached!
% 38.10/6.78 % (17994)------------------------------
% 38.10/6.78 % (17994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.10/6.78 % (17994)Termination reason: Unknown
% 38.10/6.78 % (17994)Termination phase: Saturation
% 38.10/6.78
% 38.10/6.78 % (17994)Memory used [KB]: 15863
% 38.10/6.78 % (17994)Time elapsed: 3.087 s
% 38.10/6.78 % (17994)Instructions burned: 8250 (million)
% 38.10/6.78 % (17994)------------------------------
% 38.10/6.78 % (17994)------------------------------
% 38.36/6.80 % (18049)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_17762 for (2944ds/952Mi)
% 38.36/6.81 % (18047)Instruction limit reached!
% 38.36/6.81 % (18047)------------------------------
% 38.36/6.81 % (18047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.36/6.81 % (18047)Termination reason: Unknown
% 38.36/6.81 % (18047)Termination phase: Saturation
% 38.36/6.81
% 38.36/6.81 % (18047)Memory used [KB]: 6140
% 38.36/6.81 % (18047)Time elapsed: 0.033 s
% 38.36/6.81 % (18047)Instructions burned: 103 (million)
% 38.36/6.81 % (18047)------------------------------
% 38.36/6.81 % (18047)------------------------------
% 38.36/6.82 % (18050)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_17762 for (2943ds/578Mi)
% 38.36/6.85 % (18022)Instruction limit reached!
% 38.36/6.85 % (18022)------------------------------
% 38.36/6.85 % (18022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.36/6.85 % (18022)Termination reason: Unknown
% 38.36/6.85 % (18022)Termination phase: Saturation
% 38.36/6.85
% 38.36/6.85 % (18022)Memory used [KB]: 11001
% 38.36/6.85 % (18022)Time elapsed: 1.570 s
% 38.36/6.85 % (18022)Instructions burned: 3373 (million)
% 38.36/6.85 % (18022)------------------------------
% 38.36/6.85 % (18022)------------------------------
% 38.36/6.88 % (18051)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_17762 for (2943ds/643Mi)
% 38.48/6.91 % (18042)Instruction limit reached!
% 38.48/6.91 % (18042)------------------------------
% 38.48/6.91 % (18042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.48/6.91 % (18042)Termination reason: Unknown
% 38.48/6.91 % (18042)Termination phase: Saturation
% 38.48/6.91
% 38.48/6.91 % (18042)Memory used [KB]: 8187
% 38.48/6.91 % (18042)Time elapsed: 0.432 s
% 38.48/6.91 % (18042)Instructions burned: 867 (million)
% 38.48/6.91 % (18042)------------------------------
% 38.48/6.91 % (18042)------------------------------
% 38.48/6.91 % (18035)Instruction limit reached!
% 38.48/6.91 % (18035)------------------------------
% 38.48/6.91 % (18035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.48/6.91 % (18035)Termination reason: Unknown
% 38.48/6.91 % (18035)Termination phase: Saturation
% 38.48/6.91
% 38.48/6.91 % (18035)Memory used [KB]: 7931
% 38.48/6.91 % (18035)Time elapsed: 0.798 s
% 38.48/6.91 % (18035)Instructions burned: 1671 (million)
% 38.48/6.91 % (18035)------------------------------
% 38.48/6.91 % (18035)------------------------------
% 38.48/6.92 % (18052)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_17762 for (2942ds/865Mi)
% 38.48/6.93 % (18053)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_17762 for (2942ds/1174Mi)
% 41.54/7.04 % (18045)Instruction limit reached!
% 41.54/7.04 % (18045)------------------------------
% 41.54/7.04 % (18045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.54/7.04 % (18045)Termination reason: Unknown
% 41.54/7.04 % (18045)Termination phase: Saturation
% 41.54/7.04
% 41.54/7.04 % (18045)Memory used [KB]: 11513
% 41.54/7.04 % (18045)Time elapsed: 0.461 s
% 41.54/7.04 % (18045)Instructions burned: 1001 (million)
% 41.54/7.04 % (18045)------------------------------
% 41.54/7.04 % (18045)------------------------------
% 41.54/7.06 % (18054)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_17762 for (2941ds/644Mi)
% 41.54/7.09 % (18050)Instruction limit reached!
% 41.54/7.09 % (18050)------------------------------
% 41.54/7.09 % (18050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.54/7.09 % (18050)Termination reason: Unknown
% 41.54/7.09 % (18050)Termination phase: Saturation
% 41.54/7.09
% 41.54/7.09 % (18050)Memory used [KB]: 6268
% 41.54/7.09 % (18050)Time elapsed: 0.267 s
% 41.54/7.09 % (18050)Instructions burned: 579 (million)
% 41.54/7.09 % (18050)------------------------------
% 41.54/7.09 % (18050)------------------------------
% 41.54/7.10 % (18055)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_17762 for (2941ds/1201Mi)
% 42.13/7.15 % (18051)Instruction limit reached!
% 42.13/7.15 % (18051)------------------------------
% 42.13/7.15 % (18051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.13/7.15 % (18051)Termination reason: Unknown
% 42.13/7.15 % (18051)Termination phase: Saturation
% 42.13/7.15
% 42.13/7.15 % (18051)Memory used [KB]: 6396
% 42.13/7.15 % (18051)Time elapsed: 0.281 s
% 42.13/7.15 % (18051)Instructions burned: 644 (million)
% 42.13/7.15 % (18051)------------------------------
% 42.13/7.15 % (18051)------------------------------
% 42.13/7.17 % (18056)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_17762 for (2940ds/1046Mi)
% 42.46/7.24 % (18049)Instruction limit reached!
% 42.46/7.24 % (18049)------------------------------
% 42.46/7.24 % (18049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.46/7.24 % (18049)Termination reason: Unknown
% 42.46/7.24 % (18049)Termination phase: Saturation
% 42.46/7.24
% 42.46/7.24 % (18049)Memory used [KB]: 7291
% 42.46/7.24 % (18049)Time elapsed: 0.438 s
% 42.46/7.24 % (18049)Instructions burned: 953 (million)
% 42.46/7.24 % (18049)------------------------------
% 42.46/7.24 % (18049)------------------------------
% 42.46/7.25 % (18057)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_17762 for (2939ds/222Mi)
% 42.46/7.27 % (18052)Instruction limit reached!
% 42.46/7.27 % (18052)------------------------------
% 42.46/7.27 % (18052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.46/7.27 % (18052)Termination reason: Unknown
% 42.46/7.27 % (18052)Termination phase: Saturation
% 42.46/7.27
% 42.46/7.27 % (18052)Memory used [KB]: 7803
% 42.46/7.27 % (18052)Time elapsed: 0.354 s
% 42.46/7.27 % (18052)Instructions burned: 865 (million)
% 42.46/7.27 % (18052)------------------------------
% 42.46/7.27 % (18052)------------------------------
% 42.46/7.29 % (18058)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_17762 for (2939ds/68Mi)
% 42.80/7.31 % (18057)Instruction limit reached!
% 42.80/7.31 % (18057)------------------------------
% 42.80/7.31 % (18057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.80/7.31 % (18057)Termination reason: Unknown
% 42.80/7.31 % (18057)Termination phase: Saturation
% 42.80/7.31
% 42.80/7.31 % (18057)Memory used [KB]: 6524
% 42.80/7.31 % (18057)Time elapsed: 0.070 s
% 42.80/7.31 % (18057)Instructions burned: 224 (million)
% 42.80/7.31 % (18057)------------------------------
% 42.80/7.31 % (18057)------------------------------
% 42.80/7.32 % (18058)Instruction limit reached!
% 42.80/7.32 % (18058)------------------------------
% 42.80/7.32 % (18058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.80/7.32 % (18058)Termination reason: Unknown
% 42.80/7.32 % (18058)Termination phase: Saturation
% 42.80/7.32
% 42.80/7.32 % (18058)Memory used [KB]: 6140
% 42.80/7.32 % (18058)Time elapsed: 0.036 s
% 42.80/7.32 % (18058)Instructions burned: 69 (million)
% 42.80/7.32 % (18058)------------------------------
% 42.80/7.32 % (18058)------------------------------
% 42.80/7.32 % (18059)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_17762 for (2938ds/454Mi)
% 42.80/7.35 % (18060)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_17762 for (2938ds/360Mi)
% 42.80/7.37 % (18054)Instruction limit reached!
% 42.80/7.37 % (18054)------------------------------
% 42.80/7.37 % (18054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.80/7.37 % (18054)Termination reason: Unknown
% 42.80/7.37 % (18054)Termination phase: Saturation
% 42.80/7.37
% 42.80/7.37 % (18054)Memory used [KB]: 8059
% 42.80/7.37 % (18054)Time elapsed: 0.318 s
% 42.80/7.37 % (18054)Instructions burned: 645 (million)
% 42.80/7.37 % (18054)------------------------------
% 42.80/7.37 % (18054)------------------------------
% 43.45/7.41 % (18062)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_17762 for (2938ds/157Mi)
% 43.45/7.42 % (18053)Refutation not found, non-redundant clauses discarded% (18053)------------------------------
% 43.45/7.42 % (18053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.45/7.42 % (18053)Termination reason: Refutation not found, non-redundant clauses discarded
% 43.45/7.42
% 43.45/7.42 % (18053)Memory used [KB]: 7547
% 43.45/7.42 % (18053)Time elapsed: 0.510 s
% 43.45/7.42 % (18053)Instructions burned: 1039 (million)
% 43.45/7.42 % (18053)------------------------------
% 43.45/7.42 % (18053)------------------------------
% 43.45/7.44 % (18064)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_17762 for (2937ds/5061Mi)
% 43.45/7.47 % (18062)Instruction limit reached!
% 43.45/7.47 % (18062)------------------------------
% 43.45/7.47 % (18062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.45/7.47 % (18062)Termination reason: Unknown
% 43.45/7.47 % (18062)Termination phase: Saturation
% 43.45/7.47
% 43.45/7.47 % (18062)Memory used [KB]: 6396
% 43.45/7.47 % (18062)Time elapsed: 0.089 s
% 43.45/7.47 % (18062)Instructions burned: 159 (million)
% 43.45/7.47 % (18062)------------------------------
% 43.45/7.47 % (18062)------------------------------
% 43.45/7.49 % (18065)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_17762 for (2937ds/2401Mi)
% 43.64/7.50 % (18060)Instruction limit reached!
% 43.64/7.50 % (18060)------------------------------
% 43.64/7.50 % (18060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.64/7.50 % (18060)Termination reason: Unknown
% 43.64/7.50 % (18060)Termination phase: Saturation
% 43.64/7.50
% 43.64/7.50 % (18060)Memory used [KB]: 6780
% 43.64/7.50 % (18060)Time elapsed: 0.184 s
% 43.64/7.50 % (18060)Instructions burned: 361 (million)
% 43.64/7.50 % (18060)------------------------------
% 43.64/7.50 % (18060)------------------------------
% 43.64/7.52 % (18066)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_17762 for (2937ds/5798Mi)
% 43.64/7.53 % (18059)Instruction limit reached!
% 43.64/7.53 % (18059)------------------------------
% 43.64/7.53 % (18059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.64/7.53 % (18059)Termination reason: Unknown
% 43.64/7.53 % (18059)Termination phase: Saturation
% 43.64/7.53
% 43.64/7.53 % (18059)Memory used [KB]: 11385
% 43.64/7.53 % (18059)Time elapsed: 0.208 s
% 43.64/7.53 % (18059)Instructions burned: 455 (million)
% 43.64/7.53 % (18059)------------------------------
% 43.64/7.53 % (18059)------------------------------
% 43.64/7.55 % (18067)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_17762 for (2936ds/346Mi)
% 44.11/7.69 % (18056)Instruction limit reached!
% 44.11/7.69 % (18056)------------------------------
% 44.11/7.69 % (18056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.11/7.69 % (18056)Termination reason: Unknown
% 44.11/7.69 % (18056)Termination phase: Saturation
% 44.11/7.69
% 44.11/7.69 % (18056)Memory used [KB]: 7675
% 44.11/7.69 % (18056)Time elapsed: 0.518 s
% 44.11/7.69 % (18056)Instructions burned: 1047 (million)
% 44.11/7.69 % (18056)------------------------------
% 44.11/7.69 % (18056)------------------------------
% 44.74/7.70 % (18068)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_17762 for (2935ds/1321Mi)
% 44.74/7.71 % (18055)Instruction limit reached!
% 44.74/7.71 % (18055)------------------------------
% 44.74/7.71 % (18055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.74/7.71 % (18055)Termination reason: Unknown
% 44.74/7.71 % (18055)Termination phase: Saturation
% 44.74/7.71
% 44.74/7.71 % (18055)Memory used [KB]: 7931
% 44.74/7.71 % (18055)Time elapsed: 0.612 s
% 44.74/7.71 % (18055)Instructions burned: 1202 (million)
% 44.74/7.71 % (18055)------------------------------
% 44.74/7.71 % (18055)------------------------------
% 44.74/7.71 % (18068)Refutation not found, incomplete strategy
% 44.74/7.71 % (18068)------------------------------
% 44.74/7.71 % (18068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.74/7.71 % (18068)Termination reason: Refutation not found, incomplete strategy
% 44.74/7.71
% 44.74/7.71
% 44.74/7.71 % (18068)Memory used [KB]: 1279
% 44.74/7.71 % (18068)Time elapsed: 0.012 s
% 44.74/7.71 % (18068)Instructions burned: 20 (million)
% 44.74/7.71 % (18068)------------------------------
% 44.74/7.71 % (18068)------------------------------
% 44.74/7.71 % (18067)Instruction limit reached!
% 44.74/7.71 % (18067)------------------------------
% 44.74/7.71 % (18067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.74/7.71 % (18067)Termination reason: Unknown
% 44.74/7.71 % (18067)Termination phase: Saturation
% 44.74/7.71
% 44.74/7.71 % (18067)Memory used [KB]: 7036
% 44.74/7.71 % (18067)Time elapsed: 0.167 s
% 44.74/7.71 % (18067)Instructions burned: 346 (million)
% 44.74/7.71 % (18067)------------------------------
% 44.74/7.71 % (18067)------------------------------
% 44.74/7.73 % (18070)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_17762 for (2934ds/672Mi)
% 44.74/7.73 % (18071)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_17762 for (2934ds/1897Mi)
% 44.74/7.73 % (18069)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_17762 for (2935ds/1312Mi)
% 48.33/8.04 % (18070)Instruction limit reached!
% 48.33/8.04 % (18070)------------------------------
% 48.33/8.04 % (18070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.33/8.04 % (18070)Termination reason: Unknown
% 48.33/8.04 % (18070)Termination phase: Saturation
% 48.33/8.04
% 48.33/8.04 % (18070)Memory used [KB]: 6652
% 48.33/8.04 % (18070)Time elapsed: 0.314 s
% 48.33/8.04 % (18070)Instructions burned: 673 (million)
% 48.33/8.04 % (18070)------------------------------
% 48.33/8.04 % (18070)------------------------------
% 48.33/8.06 % (18073)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_17762 for (2931ds/1202Mi)
% 50.00/8.35 % (18069)Instruction limit reached!
% 50.00/8.35 % (18069)------------------------------
% 50.00/8.35 % (18069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.00/8.35 % (18069)Termination reason: Unknown
% 50.00/8.35 % (18069)Termination phase: Saturation
% 50.00/8.35
% 50.00/8.35 % (18069)Memory used [KB]: 9210
% 50.00/8.35 % (18069)Time elapsed: 0.650 s
% 50.00/8.35 % (18069)Instructions burned: 1312 (million)
% 50.00/8.35 % (18069)------------------------------
% 50.00/8.35 % (18069)------------------------------
% 50.00/8.37 % (18075)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_17762 for (2928ds/1493Mi)
% 50.00/8.38 % (18075)Refutation not found, incomplete strategy
% 50.00/8.38 % (18075)------------------------------
% 50.00/8.38 % (18075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.00/8.38 % (18075)Termination reason: Refutation not found, incomplete strategy
% 50.00/8.38
% 50.00/8.38
% 50.00/8.38 % (18075)Memory used [KB]: 5628
% 50.00/8.38 % (18075)Time elapsed: 0.010 s
% 50.00/8.38 % (18075)Instructions burned: 13 (million)
% 50.00/8.38 % (18075)------------------------------
% 50.00/8.38 % (18075)------------------------------
% 50.59/8.40 % (18076)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_17762 for (2928ds/7679Mi)
% 51.09/8.58 % (18071)Instruction limit reached!
% 51.09/8.58 % (18071)------------------------------
% 51.09/8.58 % (18071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.09/8.58 % (18071)Termination reason: Unknown
% 51.09/8.58 % (18071)Termination phase: Saturation
% 51.09/8.58
% 51.09/8.58 % (18071)Memory used [KB]: 9338
% 51.09/8.58 % (18071)Time elapsed: 0.867 s
% 51.09/8.58 % (18071)Instructions burned: 1898 (million)
% 51.09/8.58 % (18071)------------------------------
% 51.09/8.58 % (18071)------------------------------
% 51.09/8.59 % (18077)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_17762 for (2926ds/340Mi)
% 51.59/8.61 % (18073)Instruction limit reached!
% 51.59/8.61 % (18073)------------------------------
% 51.59/8.61 % (18073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.59/8.61 % (18073)Termination reason: Unknown
% 51.59/8.61 % (18073)Termination phase: Saturation
% 51.59/8.61
% 51.59/8.61 % (18073)Memory used [KB]: 3198
% 51.59/8.61 % (18073)Time elapsed: 0.573 s
% 51.59/8.61 % (18073)Instructions burned: 1202 (million)
% 51.59/8.61 % (18073)------------------------------
% 51.59/8.61 % (18073)------------------------------
% 51.59/8.61 % (18065)Instruction limit reached!
% 51.59/8.61 % (18065)------------------------------
% 51.59/8.61 % (18065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.59/8.61 % (18065)Termination reason: Unknown
% 51.59/8.61 % (18065)Termination phase: Saturation
% 51.59/8.61
% 51.59/8.61 % (18065)Memory used [KB]: 4733
% 51.59/8.61 % (18065)Time elapsed: 1.133 s
% 51.59/8.61 % (18065)Instructions burned: 2401 (million)
% 51.59/8.61 % (18065)------------------------------
% 51.59/8.61 % (18065)------------------------------
% 51.59/8.62 % (18078)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_17762 for (2926ds/3672Mi)
% 51.59/8.63 % (18079)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_17762 for (2926ds/1535Mi)
% 52.45/8.75 % (18077)Instruction limit reached!
% 52.45/8.75 % (18077)------------------------------
% 52.45/8.75 % (18077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.45/8.75 % (18077)Termination reason: Unknown
% 52.45/8.75 % (18077)Termination phase: Saturation
% 52.45/8.75
% 52.45/8.75 % (18077)Memory used [KB]: 7036
% 52.45/8.75 % (18077)Time elapsed: 0.181 s
% 52.45/8.75 % (18077)Instructions burned: 340 (million)
% 52.45/8.75 % (18077)------------------------------
% 52.45/8.75 % (18077)------------------------------
% 52.45/8.77 % (18080)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_17762 for (2924ds/4637Mi)
% 55.23/9.10 % (18040)Instruction limit reached!
% 55.23/9.10 % (18040)------------------------------
% 55.23/9.10 % (18040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.23/9.10 % (18040)Termination reason: Unknown
% 55.23/9.10 % (18040)Termination phase: Saturation
% 55.23/9.10
% 55.23/9.10 % (18040)Memory used [KB]: 13944
% 55.23/9.10 % (18040)Time elapsed: 2.737 s
% 55.23/9.10 % (18040)Instructions burned: 6454 (million)
% 55.23/9.10 % (18040)------------------------------
% 55.23/9.10 % (18040)------------------------------
% 55.23/9.11 % (18081)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_17762 for (2921ds/3174Mi)
% 57.03/9.36 % (18079)Instruction limit reached!
% 57.03/9.36 % (18079)------------------------------
% 57.03/9.36 % (18079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.03/9.36 % (18079)Termination reason: Unknown
% 57.03/9.36 % (18079)Termination phase: Saturation
% 57.03/9.36
% 57.03/9.36 % (18079)Memory used [KB]: 7419
% 57.03/9.36 % (18079)Time elapsed: 0.763 s
% 57.03/9.36 % (18079)Instructions burned: 1535 (million)
% 57.03/9.36 % (18079)------------------------------
% 57.03/9.36 % (18079)------------------------------
% 57.03/9.38 % (18082)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_17762 for (2918ds/307Mi)
% 58.10/9.53 % (18082)Instruction limit reached!
% 58.10/9.53 % (18082)------------------------------
% 58.10/9.53 % (18082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.10/9.53 % (18082)Termination reason: Unknown
% 58.10/9.53 % (18082)Termination phase: Saturation
% 58.10/9.53
% 58.10/9.53 % (18082)Memory used [KB]: 6012
% 58.10/9.53 % (18082)Time elapsed: 0.154 s
% 58.10/9.53 % (18082)Instructions burned: 308 (million)
% 58.10/9.53 % (18082)------------------------------
% 58.10/9.53 % (18082)------------------------------
% 58.10/9.55 % (18083)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_17762 for (2916ds/3619Mi)
% 59.28/9.71 % (18064)Instruction limit reached!
% 59.28/9.71 % (18064)------------------------------
% 59.28/9.71 % (18064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.28/9.71 % (18064)Termination reason: Unknown
% 59.28/9.71 % (18064)Termination phase: Saturation
% 59.28/9.71
% 59.28/9.71 % (18064)Memory used [KB]: 9594
% 59.28/9.71 % (18064)Time elapsed: 2.276 s
% 59.28/9.71 % (18064)Instructions burned: 5061 (million)
% 59.28/9.71 % (18064)------------------------------
% 59.28/9.71 % (18064)------------------------------
% 59.28/9.73 % (18084)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_17762 for (2914ds/2325Mi)
% 62.92/10.18 % (18081)Refutation not found, non-redundant clauses discarded% (18081)------------------------------
% 62.92/10.18 % (18081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.92/10.18 % (18081)Termination reason: Refutation not found, non-redundant clauses discarded
% 62.92/10.18
% 62.92/10.18 % (18081)Memory used [KB]: 9594
% 62.92/10.18 % (18081)Time elapsed: 1.094 s
% 62.92/10.18 % (18081)Instructions burned: 2759 (million)
% 62.92/10.18 % (18081)------------------------------
% 62.92/10.18 % (18081)------------------------------
% 62.92/10.20 % (18086)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_17762 for (2910ds/2341Mi)
% 63.47/10.22 % (18066)Instruction limit reached!
% 63.47/10.22 % (18066)------------------------------
% 63.47/10.22 % (18066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.47/10.22 % (18066)Termination reason: Unknown
% 63.47/10.22 % (18066)Termination phase: Saturation
% 63.47/10.22
% 63.47/10.22 % (18066)Memory used [KB]: 6012
% 63.47/10.22 % (18066)Time elapsed: 2.697 s
% 63.47/10.22 % (18066)Instructions burned: 5798 (million)
% 63.47/10.22 % (18066)------------------------------
% 63.47/10.22 % (18066)------------------------------
% 63.47/10.23 % (18088)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_17762 for (2909ds/7257Mi)
% 63.47/10.24 % (18084)First to succeed.
% 63.47/10.24 % (18078)Instruction limit reached!
% 63.47/10.24 % (18078)------------------------------
% 63.47/10.24 % (18078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.47/10.24 % (18078)Termination reason: Unknown
% 63.47/10.24 % (18078)Termination phase: Saturation
% 63.47/10.24
% 63.47/10.24 % (18078)Memory used [KB]: 9210
% 63.47/10.24 % (18078)Time elapsed: 1.651 s
% 63.47/10.24 % (18078)Instructions burned: 3673 (million)
% 63.47/10.24 % (18078)------------------------------
% 63.47/10.24 % (18078)------------------------------
% 63.47/10.24 % (18084)Refutation found. Thanks to Tanya!
% 63.47/10.24 % SZS status Theorem for DTF2THF_17762
% 63.47/10.24 % SZS output start Proof for DTF2THF_17762
% 63.47/10.24 thf(type_def_6, type, elem: $tType).
% 63.47/10.24 thf(type_def_7, type, nat: $tType).
% 63.47/10.24 thf(type_def_8, type, list: $tType).
% 63.47/10.24 thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 63.47/10.24 thf(func_def_2, type, elem: $tType).
% 63.47/10.24 thf(func_def_3, type, elemStar: elem > elem > $o).
% 63.47/10.24 thf(func_def_4, type, nat: $tType).
% 63.47/10.24 thf(func_def_5, type, natStar: nat > nat > $o).
% 63.47/10.24 thf(func_def_6, type, zero: nat).
% 63.47/10.24 thf(func_def_7, type, suc: nat > nat).
% 63.47/10.24 thf(func_def_8, type, plus: nat > nat > nat).
% 63.47/10.24 thf(func_def_9, type, list: $tType).
% 63.47/10.24 thf(func_def_10, type, listStar: nat > list > list > $o).
% 63.47/10.24 thf(func_def_11, type, nil: list).
% 63.47/10.24 thf(func_def_12, type, cons: nat > elem > list > list).
% 63.47/10.24 thf(func_def_13, type, app: nat > nat > list > list > list).
% 63.47/10.24 thf(func_def_14, type, rev: nat > list > list).
% 63.47/10.24 thf(func_def_17, type, sK0: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 63.47/10.24 thf(func_def_18, type, sK1: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 63.47/10.24 thf(func_def_19, type, sK2: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 63.47/10.24 thf(func_def_20, type, sK3: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 63.47/10.24 thf(func_def_21, type, sK4: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 63.47/10.24 thf(func_def_22, type, sK5: (nat > list > $o) > nat).
% 63.47/10.24 thf(func_def_23, type, sK6: (nat > list > $o) > list).
% 63.47/10.24 thf(func_def_24, type, sK7: (nat > list > $o) > list).
% 63.47/10.24 thf(func_def_25, type, sK8: (nat > list > $o) > nat).
% 63.47/10.24 thf(func_def_26, type, sK9: (nat > list > $o) > elem).
% 63.47/10.24 thf(func_def_27, type, sK10: (nat > list > $o) > list).
% 63.47/10.24 thf(func_def_28, type, sK11: (nat > $o) > nat).
% 63.47/10.24 thf(func_def_29, type, sK12: nat).
% 63.47/10.24 thf(func_def_30, type, sK13: list).
% 63.47/10.24 thf(func_def_31, type, sP14: $o > $o).
% 63.47/10.24 thf(func_def_32, type, sP15: $o > $o).
% 63.47/10.24 thf(func_def_33, type, sP16: $o > $o).
% 63.47/10.24 thf(func_def_34, type, sP17: $o > $o).
% 63.47/10.24 thf(func_def_35, type, sP18: $o > $o).
% 63.47/10.24 thf(func_def_36, type, sP19: $o > $o).
% 63.47/10.24 thf(func_def_37, type, sP20: $o > $o).
% 63.47/10.24 thf(func_def_38, type, sP21: $o > $o).
% 63.47/10.24 thf(func_def_39, type, sP22: $o > $o).
% 63.47/10.24 thf(func_def_40, type, sP23: $o > $o).
% 63.47/10.24 thf(func_def_41, type, sP24: $o > $o).
% 63.47/10.24 thf(func_def_42, type, sP25: $o > $o).
% 63.47/10.24 thf(func_def_43, type, sP26: $o > $o).
% 63.47/10.24 thf(func_def_44, type, sP27: $o > $o).
% 63.47/10.24 thf(func_def_45, type, sP28: $o > $o).
% 63.47/10.24 thf(func_def_46, type, sP29: $o > $o).
% 63.47/10.24 thf(func_def_47, type, sP30: $o > $o).
% 63.47/10.24 thf(func_def_48, type, sP31: $o > $o).
% 63.47/10.24 thf(func_def_49, type, sP32: $o > $o).
% 63.47/10.24 thf(func_def_50, type, sP33: $o > $o).
% 63.47/10.24 thf(func_def_51, type, sP34: $o > $o).
% 63.47/10.24 thf(func_def_52, type, sP35: $o > $o).
% 63.47/10.24 thf(func_def_53, type, sP36: $o > $o).
% 63.47/10.24 thf(func_def_54, type, sP37: $o > $o).
% 63.47/10.24 thf(func_def_55, type, sP38: $o > $o).
% 63.47/10.24 thf(func_def_56, type, sP39: $o > $o).
% 63.47/10.24 thf(func_def_57, type, sP40: $o > $o).
% 63.47/10.24 thf(func_def_58, type, sP41: $o > $o).
% 63.47/10.24 thf(func_def_59, type, sP42: $o > $o).
% 63.47/10.24 thf(func_def_60, type, sP43: $o > $o).
% 63.47/10.24 thf(func_def_61, type, sP44: $o > $o).
% 63.47/10.24 thf(func_def_62, type, sP45: $o > $o).
% 63.47/10.24 thf(func_def_63, type, sP46: $o > $o).
% 63.47/10.24 thf(func_def_64, type, sP47: nat > $o).
% 63.47/10.24 thf(func_def_65, type, sP48: $o > $o).
% 63.47/10.24 thf(func_def_66, type, sP49: $o > $o).
% 63.47/10.24 thf(func_def_67, type, sP50: $o > $o).
% 63.47/10.24 thf(func_def_68, type, sP51: $o > $o).
% 63.47/10.24 thf(func_def_69, type, sP52: $o > $o).
% 63.47/10.24 thf(func_def_70, type, sP53: $o > $o).
% 63.47/10.24 thf(func_def_71, type, sP54: $o > $o).
% 63.47/10.24 thf(func_def_73, type, ph56: !>[X0: $tType]:(X0)).
% 63.47/10.24 thf(f2486,plain,(
% 63.47/10.24 $false),
% 63.47/10.24 inference(avatar_sat_refutation,[status(thm)],[f1785,f1814,f2485])).
% 63.47/10.24 thf(f2485,plain,(
% 63.47/10.24 ~spl55_21),
% 63.47/10.24 inference(avatar_contradiction_clause,[status(thm)],[f2484])).
% 63.47/10.24 thf(f2484,plain,(
% 63.47/10.24 $false | ~spl55_21),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f2483])).
% 63.47/10.24 thf(f2483,plain,(
% 63.47/10.24 ($true = $false) | ~spl55_21),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f2482,f156])).
% 63.47/10.24 thf(f156,plain,(
% 63.47/10.24 ((sP28 @ $true) = $false)),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP28])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f2482,plain,(
% 63.47/10.24 ($true = (sP28 @ $true)) | ~spl55_21),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f2481])).
% 63.47/10.24 thf(f2481,plain,(
% 63.47/10.24 ($true = $false) | ($true = (sP28 @ $true)) | ~spl55_21),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f2480,f154])).
% 63.47/10.24 thf(f154,plain,(
% 63.47/10.24 ((sP27 @ $true) = $false)),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP27])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f2480,plain,(
% 63.47/10.24 ($true = (sP27 @ $true)) | ($true = (sP28 @ $true)) | ~spl55_21),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f2479,f127])).
% 63.47/10.24 thf(f127,plain,(
% 63.47/10.24 ((listStar @ sK12 @ sK13 @ sK13) = $true)),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f93])).
% 63.47/10.24 thf(f93,plain,(
% 63.47/10.24 ((listStar @ sK12 @ sK13 @ sK13) = $true) & ($true != (listStar @ (plus @ zero @ sK12) @ (rev @ (plus @ zero @ sK12) @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (app @ sK12 @ zero @ (rev @ sK12 @ sK13) @ nil)))),
% 63.47/10.24 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f64,f92])).
% 63.47/10.24 thf(f92,plain,(
% 63.47/10.24 ? [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X1 @ X1)) & ($true != (listStar @ (plus @ zero @ X0) @ (rev @ (plus @ zero @ X0) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1)) @ (app @ X0 @ zero @ (rev @ X0 @ X1) @ nil)))) => (((listStar @ sK12 @ sK13 @ sK13) = $true) & ($true != (listStar @ (plus @ zero @ sK12) @ (rev @ (plus @ zero @ sK12) @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (app @ sK12 @ zero @ (rev @ sK12 @ sK13) @ nil))))),
% 63.47/10.24 introduced(definition,[],[choice_axiom])).
% 63.47/10.24 thf(f64,plain,(
% 63.47/10.24 ? [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X1 @ X1)) & ($true != (listStar @ (plus @ zero @ X0) @ (rev @ (plus @ zero @ X0) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1)) @ (app @ X0 @ zero @ (rev @ X0 @ X1) @ nil))))),
% 63.47/10.24 inference(ennf_transformation,[status(thm)],[f44])).
% 63.47/10.24 thf(f44,plain,(
% 63.47/10.24 ~! [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X1 @ X1)) => ($true = (listStar @ (plus @ zero @ X0) @ (rev @ (plus @ zero @ X0) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1)) @ (app @ X0 @ zero @ (rev @ X0 @ X1) @ nil))))),
% 63.47/10.24 inference(fool_elimination,[status(thm)],[f43])).
% 63.47/10.24 thf(f43,plain,(
% 63.47/10.24 ~! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => (listStar @ (plus @ zero @ X0) @ (rev @ (plus @ zero @ X0) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1)) @ (app @ X0 @ zero @ (rev @ X0 @ X1) @ nil)))),
% 63.47/10.24 inference(rectify,[status(thm)],[f23])).
% 63.47/10.24 thf(f23,negated_conjecture,(
% 63.47/10.24 ~! [X14 : nat,X15 : list] : ((listStar @ X14 @ X15 @ X15) => (listStar @ (plus @ zero @ X14) @ (rev @ (plus @ zero @ X14) @ (app @ zero @ X14 @ (rev @ zero @ nil) @ X15)) @ (app @ X14 @ zero @ (rev @ X14 @ X15) @ nil)))),
% 63.47/10.24 inference(negated_conjecture,[status(cth)],[f22])).
% 63.47/10.24 thf(f22,conjecture,(
% 63.47/10.24 ! [X14 : nat,X15 : list] : ((listStar @ X14 @ X15 @ X15) => (listStar @ (plus @ zero @ X14) @ (rev @ (plus @ zero @ X14) @ (app @ zero @ X14 @ (rev @ zero @ nil) @ X15)) @ (app @ X14 @ zero @ (rev @ X14 @ X15) @ nil)))),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',list_rev_invol_lem_base)).
% 63.47/10.24 thf(f2479,plain,(
% 63.47/10.24 ($true = (sP27 @ (listStar @ sK12 @ sK13 @ sK13))) | ($true = (sP28 @ $true)) | ~spl55_21),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f2478])).
% 63.47/10.24 thf(f2478,plain,(
% 63.47/10.24 ($true = (sP27 @ (listStar @ sK12 @ sK13 @ sK13))) | ($true = (sP28 @ $true)) | ($true = $false) | ~spl55_21),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f2477,f191])).
% 63.47/10.24 thf(f191,plain,(
% 63.47/10.24 ($false = (sP51 @ $true))),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP51])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f2477,plain,(
% 63.47/10.24 ($true = (sP51 @ $true)) | ($true = (sP28 @ $true)) | ($true = (sP27 @ (listStar @ sK12 @ sK13 @ sK13))) | ~spl55_21),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f2476])).
% 63.47/10.24 thf(f2476,plain,(
% 63.47/10.24 ($true = (sP28 @ $true)) | ($true = (sP51 @ $true)) | ($true = $false) | ($true = (sP27 @ (listStar @ sK12 @ sK13 @ sK13))) | ~spl55_21),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f2475,f157])).
% 63.47/10.24 thf(f157,plain,(
% 63.47/10.24 ($false = (sP29 @ $true))),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP29])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f2475,plain,(
% 63.47/10.24 ($true = (sP29 @ $true)) | ($true = (sP28 @ $true)) | ($true = (sP27 @ (listStar @ sK12 @ sK13 @ sK13))) | ($true = (sP51 @ $true)) | ~spl55_21),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f2474,f127])).
% 63.47/10.24 thf(f2474,plain,(
% 63.47/10.24 ($true = (sP28 @ (listStar @ sK12 @ sK13 @ sK13))) | ($true = (sP51 @ $true)) | ($true = (sP29 @ $true)) | ($true = (sP27 @ (listStar @ sK12 @ sK13 @ sK13))) | ~spl55_21),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f2473,f106])).
% 63.47/10.24 thf(f106,plain,(
% 63.47/10.24 ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $true)),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f52])).
% 63.47/10.24 thf(f52,plain,(
% 63.47/10.24 ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $true)),
% 63.47/10.24 inference(fool_elimination,[status(thm)],[f51])).
% 63.47/10.24 thf(f51,plain,(
% 63.47/10.24 (listStar @ zero @ (rev @ zero @ nil) @ nil)),
% 63.47/10.24 inference(rectify,[status(thm)],[f17])).
% 63.47/10.24 thf(f17,axiom,(
% 63.47/10.24 (listStar @ zero @ (rev @ zero @ nil) @ nil)),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',ax5)).
% 63.47/10.24 thf(f2473,plain,(
% 63.47/10.24 ($true = (sP29 @ (listStar @ zero @ (rev @ zero @ nil) @ nil))) | ($true = (sP28 @ (listStar @ sK12 @ sK13 @ sK13))) | ($true = (sP27 @ (listStar @ sK12 @ sK13 @ sK13))) | ($true = (sP51 @ $true)) | ~spl55_21),
% 63.47/10.24 inference(superposition,[status(thm)],[f2412,f1006])).
% 63.47/10.24 thf(f1006,plain,(
% 63.47/10.24 ( ! [X2 : list,X3 : list,X0 : nat,X1 : list] : (($true = (listStar @ X0 @ (app @ zero @ X0 @ X1 @ X2) @ X3)) | ($true = (sP29 @ (listStar @ zero @ X1 @ nil))) | ($true = (sP28 @ (listStar @ X0 @ X2 @ X3))) | ($true = (sP27 @ (listStar @ X0 @ X3 @ X3)))) )),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f1005])).
% 63.47/10.24 thf(f1005,plain,(
% 63.47/10.24 ( ! [X2 : list,X3 : list,X0 : nat,X1 : list] : (($true = $false) | ($true = (sP28 @ (listStar @ X0 @ X2 @ X3))) | ($true = (sP29 @ (listStar @ zero @ X1 @ nil))) | ($true = (listStar @ X0 @ (app @ zero @ X0 @ X1 @ X2) @ X3)) | ($true = (sP27 @ (listStar @ X0 @ X3 @ X3)))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f987,f136])).
% 63.47/10.24 thf(f136,plain,(
% 63.47/10.24 ((sP16 @ $true) = $false)),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP16])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f987,plain,(
% 63.47/10.24 ( ! [X2 : list,X3 : list,X0 : nat,X1 : list] : (($true = (listStar @ X0 @ (app @ zero @ X0 @ X1 @ X2) @ X3)) | ($true = (sP28 @ (listStar @ X0 @ X2 @ X3))) | ($true = (sP16 @ $true)) | ($true = (sP29 @ (listStar @ zero @ X1 @ nil))) | ($true = (sP27 @ (listStar @ X0 @ X3 @ X3)))) )),
% 63.47/10.24 inference(superposition,[status(thm)],[f391,f583])).
% 63.47/10.24 thf(f583,plain,(
% 63.47/10.24 ( ! [X2 : list,X3 : list,X0 : nat,X1 : list,X4 : list] : (($true = (listStar @ X0 @ (app @ zero @ X0 @ X1 @ X2) @ (app @ zero @ X0 @ X3 @ X4))) | ($true = (sP29 @ (listStar @ zero @ X1 @ X3))) | ($true = (sP28 @ (listStar @ X0 @ X2 @ X4)))) )),
% 63.47/10.24 inference(superposition,[status(thm)],[f158,f97])).
% 63.47/10.24 thf(f97,plain,(
% 63.47/10.24 ( ! [X0 : nat] : (((plus @ zero @ X0) = X0)) )),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f61])).
% 63.47/10.24 thf(f61,plain,(
% 63.47/10.24 ! [X0 : nat] : ((plus @ zero @ X0) = X0)),
% 63.47/10.24 inference(rectify,[status(thm)],[f13])).
% 63.47/10.24 thf(f13,axiom,(
% 63.47/10.24 ! [X6 : nat] : ((plus @ zero @ X6) = X6)),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',ax1)).
% 63.47/10.24 thf(f158,plain,(
% 63.47/10.24 ( ! [X2 : list,X3 : list,X0 : nat,X1 : nat,X4 : list,X5 : list] : (((listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5)) = $true) | ($true = (sP29 @ (listStar @ X0 @ X2 @ X3))) | ((sP28 @ (listStar @ X1 @ X4 @ X5)) = $true)) )),
% 63.47/10.24 inference(inequality_splitting,[status(thm)],[f110,f157,f156])).
% 63.47/10.24 thf(f110,plain,(
% 63.47/10.24 ( ! [X2 : list,X3 : list,X0 : nat,X1 : nat,X4 : list,X5 : list] : (((listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5)) = $true) | ($true != (listStar @ X1 @ X4 @ X5)) | ($true != (listStar @ X0 @ X2 @ X3))) )),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f71])).
% 63.47/10.24 thf(f71,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : nat,X2 : list,X3 : list] : (! [X4 : list,X5 : list] : (((listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5)) = $true) | ($true != (listStar @ X1 @ X4 @ X5))) | ($true != (listStar @ X0 @ X2 @ X3)))),
% 63.47/10.24 inference(ennf_transformation,[status(thm)],[f34])).
% 63.47/10.24 thf(f34,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : nat,X2 : list,X3 : list] : (($true = (listStar @ X0 @ X2 @ X3)) => ! [X4 : list,X5 : list] : (($true = (listStar @ X1 @ X4 @ X5)) => ((listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5)) = $true)))),
% 63.47/10.24 inference(fool_elimination,[status(thm)],[f33])).
% 63.47/10.24 thf(f33,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : nat,X2 : list,X3 : list] : ((listStar @ X0 @ X2 @ X3) => ! [X4 : list,X5 : list] : ((listStar @ X1 @ X4 @ X5) => (listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5))))),
% 63.47/10.24 inference(rectify,[status(thm)],[f7])).
% 63.47/10.24 thf(f7,axiom,(
% 63.47/10.24 ! [X6 : nat,X10 : nat,X7 : list,X11 : list] : ((listStar @ X6 @ X7 @ X11) => ! [X8 : list,X9 : list] : ((listStar @ X10 @ X8 @ X9) => (listStar @ (plus @ X6 @ X10) @ (app @ X6 @ X10 @ X7 @ X8) @ (app @ X6 @ X10 @ X11 @ X9))))),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',app_tp_ax)).
% 63.47/10.24 thf(f391,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP16 @ (listStar @ X0 @ X2 @ (app @ zero @ X0 @ nil @ X1)))) | ($true = (sP27 @ (listStar @ X0 @ X1 @ X1))) | ($true = (listStar @ X0 @ X2 @ X1))) )),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f390])).
% 63.47/10.24 thf(f390,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP16 @ (listStar @ X0 @ X2 @ (app @ zero @ X0 @ nil @ X1)))) | ($true = (listStar @ X0 @ X2 @ X1)) | ($true = $false) | ($true = (sP27 @ (listStar @ X0 @ X1 @ X1)))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f389,f138])).
% 63.47/10.24 thf(f138,plain,(
% 63.47/10.24 ((sP18 @ $true) = $false)),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP18])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f389,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP16 @ (listStar @ X0 @ X2 @ (app @ zero @ X0 @ nil @ X1)))) | ($true = (listStar @ X0 @ X2 @ X1)) | ($true = (sP18 @ $true)) | ($true = (sP27 @ (listStar @ X0 @ X1 @ X1)))) )),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f388])).
% 63.47/10.24 thf(f388,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP27 @ (listStar @ X0 @ X1 @ X1))) | ($true = $false) | ($true = (listStar @ X0 @ X2 @ X1)) | ($true = (sP16 @ (listStar @ X0 @ X2 @ (app @ zero @ X0 @ nil @ X1)))) | ($true = (sP18 @ $true))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f387,f137])).
% 63.47/10.24 thf(f137,plain,(
% 63.47/10.24 ($false = (sP17 @ $true))),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP17])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f387,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP16 @ (listStar @ X0 @ X2 @ (app @ zero @ X0 @ nil @ X1)))) | ($true = (sP17 @ $true)) | ($true = (sP27 @ (listStar @ X0 @ X1 @ X1))) | ($true = (listStar @ X0 @ X2 @ X1)) | ($true = (sP18 @ $true))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f385,f119])).
% 63.47/10.24 thf(f119,plain,(
% 63.47/10.24 ( ! [X0 : nat] : (($true = (isPer @ list @ (listStar @ X0)))) )),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f56])).
% 63.47/10.24 thf(f56,plain,(
% 63.47/10.24 ! [X0 : nat] : ($true = (isPer @ list @ (listStar @ X0)))),
% 63.47/10.24 inference(fool_elimination,[status(thm)],[f55])).
% 63.47/10.24 thf(f55,plain,(
% 63.47/10.24 ! [X0 : nat] : (isPer @ list @ (listStar @ X0))),
% 63.47/10.24 inference(rectify,[status(thm)],[f4])).
% 63.47/10.24 thf(f4,axiom,(
% 63.47/10.24 ! [X5 : nat] : (isPer @ list @ (listStar @ X5))),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p','\'listStar\'_is_per')).
% 63.47/10.24 thf(f385,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP16 @ (listStar @ X0 @ X2 @ (app @ zero @ X0 @ nil @ X1)))) | ($true = (listStar @ X0 @ X2 @ X1)) | ($true = (sP18 @ (isPer @ list @ (listStar @ X0)))) | ($true = (sP27 @ (listStar @ X0 @ X1 @ X1))) | ($true = (sP17 @ $true))) )),
% 63.47/10.24 inference(superposition,[status(thm)],[f139,f210])).
% 63.47/10.24 thf(f210,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ (app @ zero @ X0 @ nil @ X1) @ X1)) | ($true = (sP27 @ (listStar @ X0 @ X1 @ X1)))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f155,f97])).
% 63.47/10.24 thf(f155,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (sP27 @ (listStar @ X0 @ X1 @ X1))) | ($true = (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1))) )),
% 63.47/10.24 inference(inequality_splitting,[status(thm)],[f109,f154])).
% 63.47/10.24 thf(f109,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1)) | ($true != (listStar @ X0 @ X1 @ X1))) )),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f63])).
% 63.47/10.24 thf(f63,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : list] : (($true = (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1)) | ($true != (listStar @ X0 @ X1 @ X1)))),
% 63.47/10.24 inference(ennf_transformation,[status(thm)],[f50])).
% 63.47/10.24 thf(f50,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X1 @ X1)) => ($true = (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1)))),
% 63.47/10.24 inference(fool_elimination,[status(thm)],[f49])).
% 63.47/10.24 thf(f49,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1))),
% 63.47/10.24 inference(rectify,[status(thm)],[f15])).
% 63.47/10.24 thf(f15,axiom,(
% 63.47/10.24 ! [X6 : nat,X2 : list] : ((listStar @ X6 @ X2 @ X2) => (listStar @ (plus @ zero @ X6) @ (app @ zero @ X6 @ nil @ X2) @ X2))),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',ax3)).
% 63.47/10.24 thf(f139,plain,(
% 63.47/10.24 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o,X4 : X0] : (($true = (sP17 @ (X1 @ X3 @ X4))) | ($true = (sP18 @ (isPer @ X0 @ X1))) | ($true = (sP16 @ (X1 @ X2 @ X3))) | ((X1 @ X2 @ X4) = $true)) )),
% 63.47/10.24 inference(inequality_splitting,[status(thm)],[f105,f138,f137,f136])).
% 63.47/10.24 thf(f105,plain,(
% 63.47/10.24 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o,X4 : X0] : (((X1 @ X2 @ X4) = $true) | ((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f85])).
% 63.47/10.24 thf(f85,plain,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X4) = $true) | ((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true)) & ! [X5 : X0,X6 : X0] : (($true != (X1 @ X5 @ X6)) | ($true = (X1 @ X6 @ X5)))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | (($true != (X1 @ (sK0 @ X0 @ X1) @ (sK2 @ X0 @ X1))) & ($true = (X1 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))) & ($true = (X1 @ (sK1 @ X0 @ X1) @ (sK2 @ X0 @ X1)))) | (($true = (X1 @ (sK3 @ X0 @ X1) @ (sK4 @ X0 @ X1))) & ($true != (X1 @ (sK4 @ X0 @ X1) @ (sK3 @ X0 @ X1))))))),
% 63.47/10.24 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f82,f84,f83])).
% 63.47/10.24 thf(f83,plain,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X7 : X0,X8 : X0,X9 : X0] : (((X1 @ X7 @ X9) != $true) & ($true = (X1 @ X7 @ X8)) & ($true = (X1 @ X8 @ X9))) => (($true != (X1 @ (sK0 @ X0 @ X1) @ (sK2 @ X0 @ X1))) & ($true = (X1 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))) & ($true = (X1 @ (sK1 @ X0 @ X1) @ (sK2 @ X0 @ X1)))))),
% 63.47/10.24 introduced(definition,[],[choice_axiom])).
% 63.47/10.24 thf(f84,plain,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X10 : X0,X11 : X0] : (($true = (X1 @ X10 @ X11)) & ((X1 @ X11 @ X10) != $true)) => (($true = (X1 @ (sK3 @ X0 @ X1) @ (sK4 @ X0 @ X1))) & ($true != (X1 @ (sK4 @ X0 @ X1) @ (sK3 @ X0 @ X1)))))),
% 63.47/10.24 introduced(definition,[],[choice_axiom])).
% 63.47/10.24 thf(f82,plain,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X4) = $true) | ((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true)) & ! [X5 : X0,X6 : X0] : (($true != (X1 @ X5 @ X6)) | ($true = (X1 @ X6 @ X5)))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ? [X7 : X0,X8 : X0,X9 : X0] : (((X1 @ X7 @ X9) != $true) & ($true = (X1 @ X7 @ X8)) & ($true = (X1 @ X8 @ X9))) | ? [X10 : X0,X11 : X0] : (($true = (X1 @ X10 @ X11)) & ((X1 @ X11 @ X10) != $true))))),
% 63.47/10.24 inference(rectify,[status(thm)],[f81])).
% 63.47/10.24 thf(f81,plain,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X6)) | ((X1 @ X4 @ X5) != $true) | ($true != (X1 @ X5 @ X6))) & ! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X2) = $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ? [X4 : X0,X5 : X0,X6 : X0] : (($true != (X1 @ X4 @ X6)) & ((X1 @ X4 @ X5) = $true) & ($true = (X1 @ X5 @ X6))) | ? [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) = $true) & ((X1 @ X3 @ X2) != $true))))),
% 63.47/10.24 inference(flattening,[status(thm)],[f80])).
% 63.47/10.24 thf(f80,plain,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X6)) | ((X1 @ X4 @ X5) != $true) | ($true != (X1 @ X5 @ X6))) & ! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X2) = $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | (? [X4 : X0,X5 : X0,X6 : X0] : (($true != (X1 @ X4 @ X6)) & ((X1 @ X4 @ X5) = $true) & ($true = (X1 @ X5 @ X6))) | ? [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) = $true) & ((X1 @ X3 @ X2) != $true)))))),
% 63.47/10.24 inference(nnf_transformation,[status(thm)],[f66])).
% 63.47/10.24 thf(f66,plain,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X6)) | ((X1 @ X4 @ X5) != $true) | ($true != (X1 @ X5 @ X6))) & ! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X2) = $true))) <=> ((isPer @ X0 @ X1) = $true))),
% 63.47/10.24 inference(flattening,[status(thm)],[f65])).
% 63.47/10.24 thf(f65,plain,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) <=> (! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X2) = $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : ((($true = (X1 @ X4 @ X6)) | ($true != (X1 @ X5 @ X6))) | ((X1 @ X4 @ X5) != $true))))),
% 63.47/10.24 inference(ennf_transformation,[status(thm)],[f28])).
% 63.47/10.24 thf(f28,plain,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) <=> (! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) = $true) => ((X1 @ X3 @ X2) = $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : (((X1 @ X4 @ X5) = $true) => (($true = (X1 @ X5 @ X6)) => ($true = (X1 @ X4 @ X6))))))),
% 63.47/10.24 inference(fool_elimination,[status(thm)],[f27])).
% 63.47/10.24 thf(f27,plain,(
% 63.47/10.24 ! [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))),
% 63.47/10.24 inference(rectify,[status(thm)],[f1])).
% 63.47/10.24 thf(f1,axiom,(
% 63.47/10.24 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0] : ((X1 @ X2 @ X3) => (X1 @ X3 @ X2)) & ! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4)))) <=> (isPer @ X0 @ X1))),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',is_per)).
% 63.47/10.24 thf(f2412,plain,(
% 63.47/10.24 ($true = (sP51 @ (listStar @ sK12 @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13) @ sK13))) | ~spl55_21),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f2411])).
% 63.47/10.24 thf(f2411,plain,(
% 63.47/10.24 ($true = $false) | ($true = (sP51 @ (listStar @ sK12 @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13) @ sK13))) | ~spl55_21),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f2410,f136])).
% 63.47/10.24 thf(f2410,plain,(
% 63.47/10.24 ($true = (sP51 @ (listStar @ sK12 @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13) @ sK13))) | ($true = (sP16 @ $true)) | ~spl55_21),
% 63.47/10.24 inference(superposition,[status(thm)],[f1784,f192])).
% 63.47/10.24 thf(f192,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2))) | ($true = (sP51 @ (listStar @ X0 @ X1 @ X2)))) )),
% 63.47/10.24 inference(inequality_splitting,[status(thm)],[f129,f191])).
% 63.47/10.24 thf(f129,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true != (listStar @ X0 @ X1 @ X2)) | ($true = (listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2)))) )),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f72])).
% 63.47/10.24 thf(f72,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : list,X2 : list] : (($true != (listStar @ X0 @ X1 @ X2)) | ($true = (listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2))))),
% 63.47/10.24 inference(ennf_transformation,[status(thm)],[f42])).
% 63.47/10.24 thf(f42,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : list,X2 : list] : (($true = (listStar @ X0 @ X1 @ X2)) => ($true = (listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2))))),
% 63.47/10.24 inference(fool_elimination,[status(thm)],[f41])).
% 63.47/10.24 thf(f41,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : list,X2 : list] : ((listStar @ X0 @ X1 @ X2) => (listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2)))),
% 63.47/10.24 inference(rectify,[status(thm)],[f8])).
% 63.47/10.24 thf(f8,axiom,(
% 63.47/10.24 ! [X6 : nat,X7 : list,X11 : list] : ((listStar @ X6 @ X7 @ X11) => (listStar @ X6 @ (rev @ X6 @ X7) @ (rev @ X6 @ X11)))),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',rev_tp_ax)).
% 63.47/10.24 thf(f1784,plain,(
% 63.47/10.24 ($true = (sP16 @ (listStar @ sK12 @ (rev @ sK12 @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (rev @ sK12 @ sK13)))) | ~spl55_21),
% 63.47/10.24 inference(avatar_component_clause,[status(thm)],[f1782])).
% 63.47/10.24 thf(f1782,definition,(
% 63.47/10.24 spl55_21 <=> ($true = (sP16 @ (listStar @ sK12 @ (rev @ sK12 @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (rev @ sK12 @ sK13))))),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[spl55_21])],[avatar_definition])).
% 63.47/10.24 thf(f1814,plain,(
% 63.47/10.24 ~spl55_20),
% 63.47/10.24 inference(avatar_contradiction_clause,[status(thm)],[f1813])).
% 63.47/10.24 thf(f1813,plain,(
% 63.47/10.24 $false | ~spl55_20),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f1812])).
% 63.47/10.24 thf(f1812,plain,(
% 63.47/10.24 ($true = $false) | ~spl55_20),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f1811,f191])).
% 63.47/10.24 thf(f1811,plain,(
% 63.47/10.24 ($true = (sP51 @ $true)) | ~spl55_20),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f1810,f127])).
% 63.47/10.24 thf(f1810,plain,(
% 63.47/10.24 ($true = (sP51 @ (listStar @ sK12 @ sK13 @ sK13))) | ~spl55_20),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f1809])).
% 63.47/10.24 thf(f1809,plain,(
% 63.47/10.24 ($true = (sP51 @ (listStar @ sK12 @ sK13 @ sK13))) | ($true = $false) | ~spl55_20),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f1801,f134])).
% 63.47/10.24 thf(f134,plain,(
% 63.47/10.24 ((sP15 @ $true) = $false)),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP15])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f1801,plain,(
% 63.47/10.24 ($true = (sP15 @ $true)) | ($true = (sP51 @ (listStar @ sK12 @ sK13 @ sK13))) | ~spl55_20),
% 63.47/10.24 inference(superposition,[status(thm)],[f1780,f192])).
% 63.47/10.24 thf(f1780,plain,(
% 63.47/10.24 ($true = (sP15 @ (listStar @ sK12 @ (rev @ sK12 @ sK13) @ (rev @ sK12 @ sK13)))) | ~spl55_20),
% 63.47/10.24 inference(avatar_component_clause,[status(thm)],[f1778])).
% 63.47/10.24 thf(f1778,definition,(
% 63.47/10.24 spl55_20 <=> ($true = (sP15 @ (listStar @ sK12 @ (rev @ sK12 @ sK13) @ (rev @ sK12 @ sK13))))),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[spl55_20])],[avatar_definition])).
% 63.47/10.24 thf(f1785,plain,(
% 63.47/10.24 spl55_20 | spl55_21),
% 63.47/10.24 inference(avatar_split_clause,[status(thm)],[f1776,f1782,f1778])).
% 63.47/10.24 thf(f1776,plain,(
% 63.47/10.24 ($true = (sP16 @ (listStar @ sK12 @ (rev @ sK12 @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (rev @ sK12 @ sK13)))) | ($true = (sP15 @ (listStar @ sK12 @ (rev @ sK12 @ sK13) @ (rev @ sK12 @ sK13))))),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f1775])).
% 63.47/10.24 thf(f1775,plain,(
% 63.47/10.24 ($true = $false) | ($true = (sP16 @ (listStar @ sK12 @ (rev @ sK12 @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (rev @ sK12 @ sK13)))) | ($true = (sP15 @ (listStar @ sK12 @ (rev @ sK12 @ sK13) @ (rev @ sK12 @ sK13))))),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f1769,f189])).
% 63.47/10.24 thf(f189,plain,(
% 63.47/10.24 ((sP50 @ $true) = $false)),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP50])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f1769,plain,(
% 63.47/10.24 ($true = (sP15 @ (listStar @ sK12 @ (rev @ sK12 @ sK13) @ (rev @ sK12 @ sK13)))) | ($true = (sP16 @ (listStar @ sK12 @ (rev @ sK12 @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (rev @ sK12 @ sK13)))) | ($true = (sP50 @ $true))),
% 63.47/10.24 inference(superposition,[status(thm)],[f209,f712])).
% 63.47/10.24 thf(f712,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X2 @ (app @ X0 @ zero @ X1 @ nil))) | ($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ($true = (sP16 @ (listStar @ X0 @ X2 @ X1)))) )),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f711])).
% 63.47/10.24 thf(f711,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP16 @ (listStar @ X0 @ X2 @ X1))) | ($true = (listStar @ X0 @ X2 @ (app @ X0 @ zero @ X1 @ nil))) | ($true = $false) | ($true = (sP15 @ (listStar @ X0 @ X1 @ X1)))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f710,f137])).
% 63.47/10.24 thf(f710,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ($true = (sP17 @ $true)) | ($true = (listStar @ X0 @ X2 @ (app @ X0 @ zero @ X1 @ nil))) | ($true = (sP16 @ (listStar @ X0 @ X2 @ X1)))) )),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f709])).
% 63.47/10.24 thf(f709,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = $false) | ($true = (sP16 @ (listStar @ X0 @ X2 @ X1))) | ($true = (sP17 @ $true)) | ($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ($true = (listStar @ X0 @ X2 @ (app @ X0 @ zero @ X1 @ nil)))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f708,f138])).
% 63.47/10.24 thf(f708,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP18 @ $true)) | ($true = (sP17 @ $true)) | ($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ($true = (listStar @ X0 @ X2 @ (app @ X0 @ zero @ X1 @ nil))) | ($true = (sP16 @ (listStar @ X0 @ X2 @ X1)))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f706,f119])).
% 63.47/10.24 thf(f706,plain,(
% 63.47/10.24 ( ! [X2 : list,X0 : nat,X1 : list] : (($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ($true = (sP18 @ (isPer @ list @ (listStar @ X0)))) | ($true = (listStar @ X0 @ X2 @ (app @ X0 @ zero @ X1 @ nil))) | ($true = (sP17 @ $true)) | ($true = (sP16 @ (listStar @ X0 @ X2 @ X1)))) )),
% 63.47/10.24 inference(superposition,[status(thm)],[f139,f377])).
% 63.47/10.24 thf(f377,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X1 @ (app @ X0 @ zero @ X1 @ nil))) | ($true = (sP15 @ (listStar @ X0 @ X1 @ X1)))) )),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f376])).
% 63.47/10.24 thf(f376,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X1 @ (app @ X0 @ zero @ X1 @ nil))) | ($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ($true = $false)) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f375,f141])).
% 63.47/10.24 thf(f141,plain,(
% 63.47/10.24 ((sP20 @ $true) = $false)),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP20])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f375,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X1 @ (app @ X0 @ zero @ X1 @ nil))) | ($true = (sP20 @ $true)) | ($true = (sP15 @ (listStar @ X0 @ X1 @ X1)))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f374,f119])).
% 63.47/10.24 thf(f374,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ((sP20 @ (isPer @ list @ (listStar @ X0))) = $true) | ($true = (listStar @ X0 @ X1 @ (app @ X0 @ zero @ X1 @ nil)))) )),
% 63.47/10.24 inference(trivial_inequality_removal,[status(thm)],[f373])).
% 63.47/10.24 thf(f373,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ((sP20 @ (isPer @ list @ (listStar @ X0))) = $true) | ($true = (listStar @ X0 @ X1 @ (app @ X0 @ zero @ X1 @ nil))) | ($true = $false)) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f367,f140])).
% 63.47/10.24 thf(f140,plain,(
% 63.47/10.24 ((sP19 @ $true) = $false)),
% 63.47/10.24 introduced(definition,[new_symbols(naming,[sP19])],[inequality_splitting_name_introduction])).
% 63.47/10.24 thf(f367,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ($true = (sP19 @ $true)) | ($true = (listStar @ X0 @ X1 @ (app @ X0 @ zero @ X1 @ nil))) | ((sP20 @ (isPer @ list @ (listStar @ X0))) = $true)) )),
% 63.47/10.24 inference(superposition,[status(thm)],[f142,f207])).
% 63.47/10.24 thf(f207,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ (app @ X0 @ zero @ X1 @ nil) @ X1)) | ($true = (sP15 @ (listStar @ X0 @ X1 @ X1)))) )),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f135,f122])).
% 63.47/10.24 thf(f122,plain,(
% 63.47/10.24 ( ! [X0 : nat] : (((plus @ X0 @ zero) = X0)) )),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f58])).
% 63.47/10.24 thf(f58,plain,(
% 63.47/10.24 ! [X0 : nat] : ((plus @ X0 @ zero) = X0)),
% 63.47/10.24 inference(rectify,[status(thm)],[f19])).
% 63.47/10.24 thf(f19,axiom,(
% 63.47/10.24 ! [X10 : nat] : ((plus @ X10 @ zero) = X10)),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',plus_zero_r)).
% 63.47/10.24 thf(f135,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true = (sP15 @ (listStar @ X0 @ X1 @ X1))) | ($true = (listStar @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ X1 @ nil) @ X1))) )),
% 63.47/10.24 inference(inequality_splitting,[status(thm)],[f96,f134])).
% 63.47/10.24 thf(f96,plain,(
% 63.47/10.24 ( ! [X0 : nat,X1 : list] : (($true != (listStar @ X0 @ X1 @ X1)) | ($true = (listStar @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ X1 @ nil) @ X1))) )),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f68])).
% 63.47/10.24 thf(f68,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : list] : (($true != (listStar @ X0 @ X1 @ X1)) | ($true = (listStar @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ X1 @ nil) @ X1)))),
% 63.47/10.24 inference(ennf_transformation,[status(thm)],[f40])).
% 63.47/10.24 thf(f40,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : list] : (($true = (listStar @ X0 @ X1 @ X1)) => ($true = (listStar @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ X1 @ nil) @ X1)))),
% 63.47/10.24 inference(fool_elimination,[status(thm)],[f39])).
% 63.47/10.24 thf(f39,plain,(
% 63.47/10.24 ! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => (listStar @ (plus @ X0 @ zero) @ (app @ X0 @ zero @ X1 @ nil) @ X1))),
% 63.47/10.24 inference(rectify,[status(thm)],[f21])).
% 63.47/10.24 thf(f21,axiom,(
% 63.47/10.24 ! [X6 : nat,X13 : list] : ((listStar @ X6 @ X13 @ X13) => (listStar @ (plus @ X6 @ zero) @ (app @ X6 @ zero @ X13 @ nil) @ X13))),
% 63.47/10.24 file('/export/starexec/sandbox/tmp/tmp.GcShLs2qVv/DTF2THF_17762.p',list_app_nil)).
% 63.47/10.24 thf(f142,plain,(
% 63.47/10.24 ( ! [X0 : $tType,X1 : X0 > X0 > $o,X6 : X0,X5 : X0] : (($true = (sP19 @ (X1 @ X5 @ X6))) | ($true = (X1 @ X6 @ X5)) | ($true = (sP20 @ (isPer @ X0 @ X1)))) )),
% 63.47/10.24 inference(inequality_splitting,[status(thm)],[f104,f141,f140])).
% 63.47/10.24 thf(f104,plain,(
% 63.47/10.24 ( ! [X0 : $tType,X1 : X0 > X0 > $o,X6 : X0,X5 : X0] : (($true != (X1 @ X5 @ X6)) | ($true = (X1 @ X6 @ X5)) | ((isPer @ X0 @ X1) != $true)) )),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f85])).
% 63.47/10.24 thf(f209,plain,(
% 63.47/10.24 ($true = (sP50 @ (listStar @ sK12 @ (rev @ sK12 @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (app @ sK12 @ zero @ (rev @ sK12 @ sK13) @ nil))))),
% 63.47/10.24 inference(forward_demodulation,[status(thm)],[f190,f97])).
% 63.47/10.24 thf(f190,plain,(
% 63.47/10.24 ($true = (sP50 @ (listStar @ (plus @ zero @ sK12) @ (rev @ (plus @ zero @ sK12) @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (app @ sK12 @ zero @ (rev @ sK12 @ sK13) @ nil))))),
% 63.47/10.24 inference(inequality_splitting,[status(thm)],[f126,f189])).
% 63.47/10.24 thf(f126,plain,(
% 63.47/10.24 ($true != (listStar @ (plus @ zero @ sK12) @ (rev @ (plus @ zero @ sK12) @ (app @ zero @ sK12 @ (rev @ zero @ nil) @ sK13)) @ (app @ sK12 @ zero @ (rev @ sK12 @ sK13) @ nil)))),
% 63.47/10.24 inference(cnf_transformation,[status(thm)],[f93])).
% 63.47/10.24 % SZS output end Proof for DTF2THF_17762
% 63.47/10.24 % (18084)------------------------------
% 63.47/10.24 % (18084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.47/10.24 % (18084)Termination reason: Refutation
% 63.47/10.24
% 63.47/10.24 % (18084)Memory used [KB]: 7547
% 63.47/10.24 % (18084)Time elapsed: 0.506 s
% 63.47/10.24 % (18084)Instructions burned: 1493 (million)
% 63.47/10.24 % (18084)------------------------------
% 63.47/10.24 % (18084)------------------------------
% 63.47/10.24 % (17865)Success in time 9.038 s
%------------------------------------------------------------------------------