%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT353^1 : TPTP v9.2.1. Released v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 08:45:32 AM UTC 2026
% Result : Theorem 7.81s 2.37s
% Output : Refutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 85 ( 17 unt; 0 typ; 4 def)
% Number of atoms : 595 ( 185 equ; 0 cnn)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 3539 ( 122 ~; 113 |; 10 &;3257 @)
% ( 4 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 13 con; 0-4 aty)
% Number of variables : 262 ( 0 ^; 247 !; 15 ?; 262 :)
% 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: ( nat > $o ) > nat ).
thf(func_def_18,type,
sK1: nat ).
thf(func_def_19,type,
sK2: list ).
thf(func_def_20,type,
sK3: elem ).
thf(func_def_21,type,
sK4: nat ).
thf(func_def_22,type,
sK5: list ).
thf(func_def_25,type,
ph7:
!>[X0: $tType] : X0 ).
thf(f1554,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f106,f116,f121,f296,f1550]) ).
thf(f1550,plain,
( ~ spl6_1
| ~ spl6_3
| spl6_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f1549]) ).
thf(f1549,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| spl6_7 ),
inference(subsumption_resolution,[status(thm)],[f1548,f105]) ).
thf(f105,plain,
( ( ( listStar @ sK1 @ sK2 @ sK2 )
= $true )
| ~ spl6_1 ),
inference(avatar_component_clause,[status(thm)],[f103]) ).
thf(f103,definition,
( spl6_1
<=> ( ( listStar @ sK1 @ sK2 @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_1])],[avatar_definition]) ).
thf(f1548,plain,
( ( ( listStar @ sK1 @ sK2 @ sK2 )
!= $true )
| ~ spl6_3
| spl6_7 ),
inference(subsumption_resolution,[status(thm)],[f1535,f115]) ).
thf(f115,plain,
( ( ( listStar @ sK4 @ sK5 @ sK5 )
= $true )
| ~ spl6_3 ),
inference(avatar_component_clause,[status(thm)],[f113]) ).
thf(f113,definition,
( spl6_3
<=> ( ( listStar @ sK4 @ sK5 @ sK5 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_3])],[avatar_definition]) ).
thf(f1535,plain,
( ( ( listStar @ sK4 @ sK5 @ sK5 )
!= $true )
| ( ( listStar @ sK1 @ sK2 @ sK2 )
!= $true )
| spl6_7 ),
inference(trivial_inequality_removal,[status(thm)],[f1534]) ).
thf(f1534,plain,
( ( $true != $true )
| ( ( listStar @ sK1 @ sK2 @ sK2 )
!= $true )
| ( ( listStar @ sK4 @ sK5 @ sK5 )
!= $true )
| spl6_7 ),
inference(superposition,[status(thm)],[f295,f444]) ).
thf(f444,plain,
! [X2: list,X3: elem,X0: nat,X1: nat,X4: list] :
( ( $true
= ( listStar @ ( suc @ ( plus @ X0 @ X0 ) ) @ ( app @ ( suc @ X1 ) @ X0 @ ( app @ X1 @ ( suc @ zero ) @ X2 @ ( cons @ zero @ X3 @ nil ) ) @ X4 ) @ ( app @ X1 @ ( suc @ X0 ) @ X2 @ ( cons @ X0 @ X3 @ X4 ) ) ) )
| ( ( listStar @ X0 @ X4 @ X4 )
!= $true )
| ( ( listStar @ X1 @ X2 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f443]) ).
thf(f443,plain,
! [X2: list,X3: elem,X0: nat,X1: nat,X4: list] :
( ( $true
= ( listStar @ ( suc @ ( plus @ X0 @ X0 ) ) @ ( app @ ( suc @ X1 ) @ X0 @ ( app @ X1 @ ( suc @ zero ) @ X2 @ ( cons @ zero @ X3 @ nil ) ) @ X4 ) @ ( app @ X1 @ ( suc @ X0 ) @ X2 @ ( cons @ X0 @ X3 @ X4 ) ) ) )
| ( ( listStar @ X1 @ X2 @ X2 )
!= $true )
| ( ( listStar @ X0 @ X4 @ X4 )
!= $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f442]) ).
thf(f442,plain,
! [X2: list,X3: elem,X0: nat,X1: nat,X4: list] :
( ( $true
= ( listStar @ ( suc @ ( plus @ X0 @ X0 ) ) @ ( app @ ( suc @ X1 ) @ X0 @ ( app @ X1 @ ( suc @ zero ) @ X2 @ ( cons @ zero @ X3 @ nil ) ) @ X4 ) @ ( app @ X1 @ ( suc @ X0 ) @ X2 @ ( cons @ X0 @ X3 @ X4 ) ) ) )
| ( $true != $true )
| ( ( listStar @ X1 @ X2 @ X2 )
!= $true )
| ( ( listStar @ X0 @ X4 @ X4 )
!= $true )
| ( ( listStar @ X1 @ X2 @ X2 )
!= $true )
| ( ( listStar @ X0 @ X4 @ X4 )
!= $true ) ),
inference(superposition,[status(thm)],[f346,f372]) ).
thf(f372,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
= $true )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) ) ),
inference(subsumption_resolution,[status(thm)],[f371,f300]) ).
thf(f300,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( $true
= ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f299,f97]) ).
thf(f97,plain,
! [X0: nat] :
( ( plus @ X0 @ ( suc @ zero ) )
= ( suc @ X0 ) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
thf(f55,plain,
! [X0: nat] :
( ( plus @ X0 @ ( suc @ zero ) )
= ( suc @ X0 ) ),
inference(rectify,[status(thm)],[f17]) ).
thf(f17,axiom,
! [X6: nat] :
( ( suc @ X6 )
= ( plus @ X6 @ ( suc @ zero ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',plus1r) ).
thf(f299,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
= $true ) ),
inference(forward_demodulation,[status(thm)],[f298,f162]) ).
thf(f162,plain,
! [X0: nat,X1: nat] :
( ( plus @ X1 @ ( suc @ X0 ) )
= ( suc @ ( plus @ X0 @ X1 ) ) ),
inference(superposition,[status(thm)],[f82,f80]) ).
thf(f80,plain,
! [X0: nat,X1: nat] :
( ( plus @ X0 @ X1 )
= ( plus @ X1 @ X0 ) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
thf(f59,plain,
! [X0: nat,X1: nat] :
( ( plus @ X0 @ X1 )
= ( plus @ X1 @ X0 ) ),
inference(rectify,[status(thm)],[f15]) ).
thf(f15,axiom,
! [X6: nat,X10: nat] :
( ( plus @ X6 @ X10 )
= ( plus @ X10 @ X6 ) ),
file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',plus_com) ).
thf(f82,plain,
! [X0: nat,X1: nat] :
( ( plus @ ( suc @ X0 ) @ X1 )
= ( suc @ ( plus @ X0 @ X1 ) ) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
thf(f56,plain,
! [X0: nat,X1: nat] :
( ( plus @ ( suc @ X0 ) @ X1 )
= ( suc @ ( plus @ X0 @ X1 ) ) ),
inference(rectify,[status(thm)],[f13]) ).
thf(f13,axiom,
! [X6: nat,X10: nat] :
( ( plus @ ( suc @ X6 ) @ X10 )
= ( suc @ ( plus @ X6 @ X10 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',ax2) ).
thf(f298,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
= ( listStar @ ( plus @ X3 @ ( suc @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) ) ),
inference(forward_demodulation,[status(thm)],[f297,f97]) ).
thf(f297,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( $true
= ( listStar @ ( plus @ X3 @ ( plus @ X3 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) ) ),
inference(forward_demodulation,[status(thm)],[f83,f80]) ).
thf(f83,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) ) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
thf(f71,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
= $true ) ),
inference(flattening,[status(thm)],[f70]) ).
thf(f70,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f46]) ).
thf(f46,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
= $true )
=> ( ( $true
= ( listStar @ X3 @ X4 @ X4 ) )
=> ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f45]) ).
thf(f45,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( ( listStar @ X3 @ X4 @ X4 )
=> ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) ) ),
inference(rectify,[status(thm)],[f19]) ).
thf(f19,axiom,
! [X10: nat,X16: list,X2: elem,X15: nat,X17: list] :
( ( listStar @ X10 @ X16 @ X16 )
=> ( ( listStar @ X15 @ X17 @ X17 )
=> ( listStar @ ( plus @ ( plus @ X15 @ ( suc @ zero ) ) @ X15 ) @ ( app @ ( plus @ X10 @ ( suc @ zero ) ) @ X15 @ ( app @ X10 @ ( suc @ zero ) @ X16 @ ( cons @ zero @ X2 @ nil ) ) @ X17 ) @ ( app @ X10 @ ( suc @ X15 ) @ X16 @ ( app @ ( suc @ zero ) @ X15 @ ( cons @ zero @ X2 @ nil ) @ X17 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',list_app_assoc_m1_step2) ).
thf(f371,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( $true
!= ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f370,f97]) ).
thf(f370,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
!= $true )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) ) ),
inference(forward_demodulation,[status(thm)],[f369,f162]) ).
thf(f369,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ ( plus @ X3 @ ( suc @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) ) ),
inference(forward_demodulation,[status(thm)],[f368,f97]) ).
thf(f368,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
= $true )
| ( $true
!= ( listStar @ ( plus @ X3 @ ( plus @ X3 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f367,f97]) ).
thf(f367,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
= $true )
| ( $true
!= ( listStar @ ( plus @ X3 @ ( plus @ X3 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f366,f162]) ).
thf(f366,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ ( plus @ X3 @ ( suc @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
= $true )
| ( $true
!= ( listStar @ ( plus @ X3 @ ( plus @ X3 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) ) ),
inference(forward_demodulation,[status(thm)],[f365,f97]) ).
thf(f365,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ ( plus @ X3 @ ( plus @ X3 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( $true
!= ( listStar @ ( plus @ X3 @ ( plus @ X3 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f364,f80]) ).
thf(f364,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
!= $true )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ ( plus @ X3 @ ( plus @ X3 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
= $true ) ),
inference(forward_demodulation,[status(thm)],[f86,f80]) ).
thf(f86,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( $true
= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) )
| ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
!= $true )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) ) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
thf(f65,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( $true
= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
!= $true ) ),
inference(flattening,[status(thm)],[f64]) ).
thf(f64,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( $true
= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) )
| ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f34]) ).
thf(f34,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
= $true )
=> ( ( $true
= ( listStar @ X3 @ X4 @ X4 ) )
=> ( ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
= $true )
=> ( $true
= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f33]) ).
thf(f33,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( ( listStar @ X3 @ X4 @ X4 )
=> ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( app @ ( suc @ zero ) @ X3 @ ( cons @ zero @ X2 @ nil ) @ X4 ) ) )
=> ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f20]) ).
thf(f20,axiom,
! [X10: nat,X16: list,X2: elem,X15: nat,X17: list] :
( ( listStar @ X10 @ X16 @ X16 )
=> ( ( listStar @ X15 @ X17 @ X17 )
=> ( ( listStar @ ( plus @ ( plus @ X15 @ ( suc @ zero ) ) @ X15 ) @ ( app @ ( plus @ X10 @ ( suc @ zero ) ) @ X15 @ ( app @ X10 @ ( suc @ zero ) @ X16 @ ( cons @ zero @ X2 @ nil ) ) @ X17 ) @ ( app @ X10 @ ( suc @ X15 ) @ X16 @ ( app @ ( suc @ zero ) @ X15 @ ( cons @ zero @ X2 @ nil ) @ X17 ) ) )
=> ( listStar @ ( plus @ ( plus @ X15 @ ( suc @ zero ) ) @ X15 ) @ ( app @ ( plus @ X10 @ ( suc @ zero ) ) @ X15 @ ( app @ X10 @ ( suc @ zero ) @ X16 @ ( cons @ zero @ X2 @ nil ) ) @ X17 ) @ ( app @ X10 @ ( suc @ X15 ) @ X16 @ ( cons @ X15 @ X2 @ ( app @ zero @ X15 @ nil @ X17 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',list_app_assoc_m1_step3) ).
thf(f346,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
!= $true )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f345,f97]) ).
thf(f345,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f344,f162]) ).
thf(f344,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ ( plus @ X3 @ ( suc @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f343,f97]) ).
thf(f343,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ ( plus @ X3 @ ( plus @ X3 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
!= $true )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true ) ),
inference(forward_demodulation,[status(thm)],[f342,f80]) ).
thf(f342,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( suc @ X0 ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(forward_demodulation,[status(thm)],[f341,f97]) ).
thf(f341,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ ( suc @ ( plus @ X3 @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( $true
!= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f340,f162]) ).
thf(f340,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( $true
= ( listStar @ ( plus @ X3 @ ( suc @ X3 ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) ) )
| ( $true
!= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f339,f97]) ).
thf(f339,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( $true
= ( listStar @ ( plus @ X3 @ ( plus @ X3 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) ) )
| ( $true
!= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f84,f80]) ).
thf(f84,plain,
! [X2: elem,X3: nat,X0: nat,X1: list,X4: list] :
( ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( $true
!= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
thf(f69,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
!= $true )
| ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( $true
!= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) ) ),
inference(flattening,[status(thm)],[f68]) ).
thf(f68,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true )
| ( $true
!= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) )
| ( $true
!= ( listStar @ X3 @ X4 @ X4 ) )
| ( ( listStar @ X0 @ X1 @ X1 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f30]) ).
thf(f30,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
= $true )
=> ( ( $true
= ( listStar @ X3 @ X4 @ X4 ) )
=> ( ( $true
= ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) ) )
=> ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f29]) ).
thf(f29,plain,
! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( ( listStar @ X3 @ X4 @ X4 )
=> ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ ( app @ zero @ X3 @ nil @ X4 ) ) ) )
=> ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f21]) ).
thf(f21,axiom,
! [X10: nat,X16: list,X2: elem,X15: nat,X17: list] :
( ( listStar @ X10 @ X16 @ X16 )
=> ( ( listStar @ X15 @ X17 @ X17 )
=> ( ( listStar @ ( plus @ ( plus @ X15 @ ( suc @ zero ) ) @ X15 ) @ ( app @ ( plus @ X10 @ ( suc @ zero ) ) @ X15 @ ( app @ X10 @ ( suc @ zero ) @ X16 @ ( cons @ zero @ X2 @ nil ) ) @ X17 ) @ ( app @ X10 @ ( suc @ X15 ) @ X16 @ ( cons @ X15 @ X2 @ ( app @ zero @ X15 @ nil @ X17 ) ) ) )
=> ( listStar @ ( plus @ ( plus @ X15 @ ( suc @ zero ) ) @ X15 ) @ ( app @ ( plus @ X10 @ ( suc @ zero ) ) @ X15 @ ( app @ X10 @ ( suc @ zero ) @ X16 @ ( cons @ zero @ X2 @ nil ) ) @ X17 ) @ ( app @ X10 @ ( suc @ X15 ) @ X16 @ ( cons @ X15 @ X2 @ X17 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',list_app_assoc_m1_step4) ).
thf(f295,plain,
( ( ( listStar @ ( suc @ ( plus @ sK4 @ sK4 ) ) @ ( app @ ( suc @ sK1 ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) )
!= $true )
| spl6_7 ),
inference(avatar_component_clause,[status(thm)],[f293]) ).
thf(f293,definition,
( spl6_7
<=> ( ( listStar @ ( suc @ ( plus @ sK4 @ sK4 ) ) @ ( app @ ( suc @ sK1 ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_7])],[avatar_definition]) ).
thf(f296,plain,
( ~ spl6_7
| spl6_4 ),
inference(avatar_split_clause,[status(thm)],[f291,f118,f293]) ).
thf(f118,definition,
( spl6_4
<=> ( ( listStar @ ( plus @ ( plus @ sK4 @ ( suc @ zero ) ) @ sK4 ) @ ( app @ ( plus @ sK1 @ ( suc @ zero ) ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl6_4])],[avatar_definition]) ).
thf(f291,plain,
( ( ( listStar @ ( suc @ ( plus @ sK4 @ sK4 ) ) @ ( app @ ( suc @ sK1 ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) )
!= $true )
| spl6_4 ),
inference(forward_demodulation,[status(thm)],[f290,f97]) ).
thf(f290,plain,
( ( $true
!= ( listStar @ ( suc @ ( plus @ sK4 @ sK4 ) ) @ ( app @ ( plus @ sK1 @ ( suc @ zero ) ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) ) )
| spl6_4 ),
inference(forward_demodulation,[status(thm)],[f289,f162]) ).
thf(f289,plain,
( ( $true
!= ( listStar @ ( plus @ sK4 @ ( suc @ sK4 ) ) @ ( app @ ( plus @ sK1 @ ( suc @ zero ) ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) ) )
| spl6_4 ),
inference(forward_demodulation,[status(thm)],[f288,f97]) ).
thf(f288,plain,
( ( ( listStar @ ( plus @ sK4 @ ( plus @ sK4 @ ( suc @ zero ) ) ) @ ( app @ ( plus @ sK1 @ ( suc @ zero ) ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) )
!= $true )
| spl6_4 ),
inference(forward_demodulation,[status(thm)],[f120,f80]) ).
thf(f120,plain,
( ( ( listStar @ ( plus @ ( plus @ sK4 @ ( suc @ zero ) ) @ sK4 ) @ ( app @ ( plus @ sK1 @ ( suc @ zero ) ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) )
!= $true )
| spl6_4 ),
inference(avatar_component_clause,[status(thm)],[f118]) ).
thf(f121,plain,
~ spl6_4,
inference(avatar_split_clause,[status(thm)],[f90,f118]) ).
thf(f90,plain,
( ( listStar @ ( plus @ ( plus @ sK4 @ ( suc @ zero ) ) @ sK4 ) @ ( app @ ( plus @ sK1 @ ( suc @ zero ) ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f77]) ).
thf(f77,plain,
( ( ( listStar @ sK4 @ sK5 @ sK5 )
= $true )
& ( ( listStar @ ( plus @ ( plus @ sK4 @ ( suc @ zero ) ) @ sK4 ) @ ( app @ ( plus @ sK1 @ ( suc @ zero ) ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) )
!= $true )
& ( ( listStar @ sK1 @ sK2 @ sK2 )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f61,f76]) ).
thf(f76,plain,
( ? [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( $true
= ( listStar @ X3 @ X4 @ X4 ) )
& ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
!= $true )
& ( ( listStar @ X0 @ X1 @ X1 )
= $true ) )
=> ( ( ( listStar @ sK4 @ sK5 @ sK5 )
= $true )
& ( ( listStar @ ( plus @ ( plus @ sK4 @ ( suc @ zero ) ) @ sK4 ) @ ( app @ ( plus @ sK1 @ ( suc @ zero ) ) @ sK4 @ ( app @ sK1 @ ( suc @ zero ) @ sK2 @ ( cons @ zero @ sK3 @ nil ) ) @ sK5 ) @ ( app @ sK1 @ ( suc @ sK4 ) @ sK2 @ ( cons @ sK4 @ sK3 @ sK5 ) ) )
!= $true )
& ( ( listStar @ sK1 @ sK2 @ sK2 )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f61,plain,
? [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( $true
= ( listStar @ X3 @ X4 @ X4 ) )
& ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
!= $true )
& ( ( listStar @ X0 @ X1 @ X1 )
= $true ) ),
inference(flattening,[status(thm)],[f60]) ).
thf(f60,plain,
? [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
!= $true )
& ( $true
= ( listStar @ X3 @ X4 @ X4 ) )
& ( ( listStar @ X0 @ X1 @ X1 )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f26]) ).
thf(f26,plain,
~ ! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( ( listStar @ X0 @ X1 @ X1 )
= $true )
=> ( ( $true
= ( listStar @ X3 @ X4 @ X4 ) )
=> ( ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f25]) ).
thf(f25,plain,
~ ! [X0: nat,X1: list,X2: elem,X3: nat,X4: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( ( listStar @ X3 @ X4 @ X4 )
=> ( listStar @ ( plus @ ( plus @ X3 @ ( suc @ zero ) ) @ X3 ) @ ( app @ ( plus @ X0 @ ( suc @ zero ) ) @ X3 @ ( app @ X0 @ ( suc @ zero ) @ X1 @ ( cons @ zero @ X2 @ nil ) ) @ X4 ) @ ( app @ X0 @ ( suc @ X3 ) @ X1 @ ( cons @ X3 @ X2 @ X4 ) ) ) ) ),
inference(rectify,[status(thm)],[f23]) ).
thf(f23,negated_conjecture,
~ ! [X10: nat,X16: list,X2: elem,X15: nat,X17: list] :
( ( listStar @ X10 @ X16 @ X16 )
=> ( ( listStar @ X15 @ X17 @ X17 )
=> ( listStar @ ( plus @ ( plus @ X15 @ ( suc @ zero ) ) @ X15 ) @ ( app @ ( plus @ X10 @ ( suc @ zero ) ) @ X15 @ ( app @ X10 @ ( suc @ zero ) @ X16 @ ( cons @ zero @ X2 @ nil ) ) @ X17 ) @ ( app @ X10 @ ( suc @ X15 ) @ X16 @ ( cons @ X15 @ X2 @ X17 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
thf(f22,conjecture,
! [X10: nat,X16: list,X2: elem,X15: nat,X17: list] :
( ( listStar @ X10 @ X16 @ X16 )
=> ( ( listStar @ X15 @ X17 @ X17 )
=> ( listStar @ ( plus @ ( plus @ X15 @ ( suc @ zero ) ) @ X15 ) @ ( app @ ( plus @ X10 @ ( suc @ zero ) ) @ X15 @ ( app @ X10 @ ( suc @ zero ) @ X16 @ ( cons @ zero @ X2 @ nil ) ) @ X17 ) @ ( app @ X10 @ ( suc @ X15 ) @ X16 @ ( cons @ X15 @ X2 @ X17 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',list_app_assoc_m1) ).
thf(f116,plain,
spl6_3,
inference(avatar_split_clause,[status(thm)],[f91,f113]) ).
thf(f91,plain,
( ( listStar @ sK4 @ sK5 @ sK5 )
= $true ),
inference(cnf_transformation,[status(thm)],[f77]) ).
thf(f106,plain,
spl6_1,
inference(avatar_split_clause,[status(thm)],[f89,f103]) ).
thf(f89,plain,
( ( listStar @ sK1 @ sK2 @ sK2 )
= $true ),
inference(cnf_transformation,[status(thm)],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : DAT353^1 : TPTP v9.2.1. Released v9.2.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n019.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 06:15:24 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.45 ---- Original DTF file ---
% 0.29/0.45 thf(spec,logic,$$dhol).
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % File : DAT353^1 : TPTP v9.2.1. Released v9.2.0.
% 0.29/0.45 % Domain : Data Structures
% 0.29/0.45 % Problem : Corollary of the associativity of append, step 5
% 0.29/0.45 % Version : Especial.
% 0.29/0.45 % English : Corollary of the associativity of append. The proof is split into
% 0.29/0.45 % smaller steps. To simplify proof search, the axioms in each
% 0.29/0.45 % problem file have been preselected.
% 0.29/0.45
% 0.29/0.45 % Refs : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.29/0.45 % : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.29/0.45 % : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.29/0.45 % Source : [Rot25]
% 0.29/0.45 % Names : ListAppAssocM1/list-app-assoc-m1-step5.p [Rot25]
% 0.29/0.45
% 0.29/0.45 % Status : Theorem
% 0.29/0.45 % Rating : ? v9.2.0
% 0.29/0.45 % Syntax : Number of formulae : 24 ( 10 unt; 10 typ; 0 def)
% 0.29/0.45 % Number of atoms : 16 ( 16 equ; 0 cnn)
% 0.29/0.45 % Maximal formula atoms : 2 ( 1 avg)
% 0.29/0.45 % Number of connectives : 226 ( 3 ~; 0 |; 0 &; 217 @)
% 0.29/0.45 % ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% 0.29/0.45 % Maximal formula depth : 8 ( 4 avg)
% 0.29/0.45 % Number of types : 3 ( 2 usr)
% 0.29/0.45 % Number of type decls : 10 ( 0 !>P; 3 !>D)
% 0.29/0.45 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.29/0.45 % Number of symbols : 9 ( 8 usr; 2 con; 0-4 aty)
% 0.29/0.45 % Number of variables : 42 ( 0 ^; 38 !; 0 ?; 42 :)
% 0.29/0.45 % ( 4 !>; 0 ?*; 0 @-; 0 @+)
% 0.29/0.45 % SPC : DH0_THM_EQU_NAR
% 0.29/0.45
% 0.29/0.45 % Comments :
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 thf(elem_type,type,
% 0.29/0.45 elem: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(nat_type,type,
% 0.29/0.45 nat: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(zero_type,type,
% 0.29/0.45 zero: nat ).
% 0.29/0.45
% 0.29/0.45 thf(suc_type,type,
% 0.29/0.45 suc: nat > nat ).
% 0.29/0.45
% 0.29/0.45 thf(plus_type,type,
% 0.29/0.45 plus: nat > nat > nat ).
% 0.29/0.45
% 0.29/0.45 thf(list_type,type,
% 0.29/0.45 list: nat > $tType ).
% 0.29/0.45
% 0.29/0.45 thf(nil_type,type,
% 0.29/0.45 nil: list @ zero ).
% 0.29/0.45
% 0.29/0.45 thf(cons_type,type,
% 0.29/0.45 cons:
% 0.29/0.45 !>[N: nat] : ( elem > ( list @ N ) > ( list @ ( suc @ N ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(app_type,type,
% 0.29/0.45 app:
% 0.29/0.45 !>[N: nat,M: nat] : ( ( list @ N ) > ( list @ M ) > ( list @ ( plus @ N @ M ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(rev_type,type,
% 0.29/0.45 rev:
% 0.29/0.45 !>[N: nat] : ( ( list @ N ) > ( list @ N ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(peano1,axiom,
% 0.29/0.45 ! [N: nat] :
% 0.29/0.45 ( ( suc @ N )
% 0.29/0.45 != zero ) ).
% 0.29/0.45
% 0.29/0.45 thf(peano2,axiom,
% 0.29/0.45 ! [N: nat,M: nat] :
% 0.29/0.45 ( ( N != M )
% 0.29/0.45 => ( ( suc @ N )
% 0.29/0.45 != ( suc @ M ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(peano3,axiom,
% 0.29/0.45 ! [P: nat > $o] :
% 0.29/0.45 ( ( P @ zero )
% 0.29/0.45 => ( ! [M: nat] :
% 0.29/0.45 ( ( P @ M )
% 0.29/0.45 => ( P @ ( suc @ M ) ) )
% 0.29/0.45 => ! [N: nat] : ( P @ N ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(ax1,axiom,
% 0.29/0.45 ! [N: nat] :
% 0.29/0.45 ( ( plus @ zero @ N )
% 0.29/0.45 = N ) ).
% 0.29/0.45
% 0.29/0.45 thf(ax2,axiom,
% 0.29/0.45 ! [N: nat,M: nat] :
% 0.29/0.45 ( ( plus @ ( suc @ N ) @ M )
% 0.29/0.45 = ( suc @ ( plus @ N @ M ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(plus_zero_r,axiom,
% 0.29/0.45 ! [M: nat] :
% 0.29/0.45 ( ( plus @ M @ zero )
% 0.29/0.45 = M ) ).
% 0.29/0.45
% 0.29/0.45 thf(plus_com,axiom,
% 0.29/0.45 ! [N: nat,M: nat] :
% 0.29/0.45 ( ( plus @ N @ M )
% 0.29/0.45 = ( plus @ M @ N ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(plus_assoc,axiom,
% 0.29/0.45 ! [M1: nat,M2: nat,M3: nat] :
% 0.29/0.45 ( ( plus @ M1 @ ( plus @ M2 @ M3 ) )
% 0.29/0.45 = ( plus @ ( plus @ M1 @ M2 ) @ M3 ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(plus1r,axiom,
% 0.29/0.45 ! [N: nat] :
% 0.29/0.45 ( ( suc @ N )
% 0.29/0.45 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(plus1ra,axiom,
% 0.29/0.45 ! [N: nat,M: nat] :
% 0.29/0.45 ( ( plus @ ( plus @ N @ ( suc @ zero ) ) @ M )
% 0.29/0.45 = ( plus @ N @ ( suc @ M ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(list_app_assoc_m1_step2,axiom,
% 0.29/0.45 ! [M: nat,L: list @ M,X: elem,M3: nat,L3: list @ M3] :
% 0.29/0.45 ( ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 )
% 0.29/0.45 = ( app @ M @ ( suc @ M3 ) @ L @ ( app @ ( suc @ zero ) @ M3 @ ( cons @ zero @ X @ nil ) @ L3 ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(list_app_assoc_m1_step3,axiom,
% 0.29/0.45 ! [M: nat,L: list @ M,X: elem,M3: nat,L3: list @ M3] :
% 0.29/0.45 ( ( ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 )
% 0.29/0.45 = ( app @ M @ ( suc @ M3 ) @ L @ ( app @ ( suc @ zero ) @ M3 @ ( cons @ zero @ X @ nil ) @ L3 ) ) )
% 0.29/0.45 => ( ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 )
% 0.29/0.45 = ( app @ M @ ( suc @ M3 ) @ L @ ( cons @ M3 @ X @ ( app @ zero @ M3 @ nil @ L3 ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(list_app_assoc_m1_step4,axiom,
% 0.29/0.45 ! [M: nat,L: list @ M,X: elem,M3: nat,L3: list @ M3] :
% 0.29/0.45 ( ( ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 )
% 0.29/0.45 = ( app @ M @ ( suc @ M3 ) @ L @ ( cons @ M3 @ X @ ( app @ zero @ M3 @ nil @ L3 ) ) ) )
% 0.29/0.45 => ( ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 )
% 0.29/0.45 = ( app @ M @ ( suc @ M3 ) @ L @ ( cons @ M3 @ X @ L3 ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 thf(list_app_assoc_m1,conjecture,
% 0.29/0.45 ! [M: nat,L: list @ M,X: elem,M3: nat,L3: list @ M3] :
% 0.29/0.45 ( ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 )
% 0.29/0.45 = ( app @ M @ ( suc @ M3 ) @ L @ ( cons @ M3 @ X @ L3 ) ) ) ).
% 0.29/0.45
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 ------------------------
% 1.86/1.31 ---- Embedded in THF ---
% 1.86/1.31 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.86/1.31 %%% Generated on Tue Feb 24 06:15:25 EST 2026
% 1.86/1.31 %%% using '$$dhol' embedding, version 1.3.0.
% 1.86/1.31 %%% Logic specification used:
% 1.86/1.31 %%% thf(spec, logic, $$dhol).
% 1.86/1.31
% 1.86/1.31 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2DTF23090.p
% See solution above
% 1.86/1.31 ------------------------
% 1.86/1.32 ---- Cleaned THF ---
% 1.86/1.32 thf(is_per_type,type,
% 1.86/1.32 isPer:
% 1.86/1.32 !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.86/1.32
% 1.86/1.32 thf(is_per,definition,
% 1.86/1.32 ! [A: $tType,AStar: A > A > $o] :
% 1.86/1.32 ( ( isPer @ A @ AStar )
% 1.86/1.32 <=> ( ! [X: A,Y: A] :
% 1.86/1.32 ( ( AStar @ X @ Y )
% 1.86/1.32 => ( AStar @ Y @ X ) )
% 1.86/1.32 & ! [X: A,Y: A,Z: A] :
% 1.86/1.32 ( ( AStar @ X @ Y )
% 1.86/1.32 => ( ( AStar @ Y @ Z )
% 1.86/1.32 => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(elem_type,type,
% 1.86/1.32 elem: $tType ).
% 1.86/1.32
% 1.86/1.32 thf(elemStar,type,
% 1.86/1.32 elemStar: elem > elem > $o ).
% 1.86/1.32
% 1.86/1.32 thf(elemStar_is_eq,axiom,
% 1.86/1.32 ! [X: elem,Y: elem] :
% 1.86/1.32 ( ( elemStar @ X @ Y )
% 1.86/1.32 <=> ( X = Y ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(nat_type,type,
% 1.86/1.32 nat: $tType ).
% 1.86/1.32
% 1.86/1.32 thf(natStar,type,
% 1.86/1.32 natStar: nat > nat > $o ).
% 1.86/1.32
% 1.86/1.32 thf(natStar_is_eq,axiom,
% 1.86/1.32 ! [X: nat,Y: nat] :
% 1.86/1.32 ( ( natStar @ X @ Y )
% 1.86/1.32 <=> ( X = Y ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(zero_type,type,
% 1.86/1.32 zero: nat ).
% 1.86/1.32
% 1.86/1.32 thf(suc_type,type,
% 1.86/1.32 suc: nat > nat ).
% 1.86/1.32
% 1.86/1.32 thf(plus_type,type,
% 1.86/1.32 plus: nat > nat > nat ).
% 1.86/1.32
% 1.86/1.32 thf(list_type,type,
% 1.86/1.32 list: $tType ).
% 1.86/1.32
% 1.86/1.32 thf(listStar,type,
% 1.86/1.32 listStar: nat > list > list > $o ).
% 1.86/1.32
% 1.86/1.32 thf('\'listStar\'_is_per',axiom,
% 1.86/1.32 ! [C: nat] : ( isPer @ list @ ( listStar @ C ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(nil_type,type,
% 1.86/1.32 nil: list ).
% 1.86/1.32
% 1.86/1.32 thf(nil_tp_ax,axiom,
% 1.86/1.32 listStar @ zero @ nil @ nil ).
% 1.86/1.32
% 1.86/1.32 thf(cons_type,type,
% 1.86/1.32 cons: nat > elem > list > list ).
% 1.86/1.32
% 1.86/1.32 thf(cons_tp_ax,axiom,
% 1.86/1.32 ! [N: nat,D: elem,D0: list,D0_prime: list] :
% 1.86/1.32 ( ( listStar @ N @ D0 @ D0_prime )
% 1.86/1.32 => ( listStar @ ( suc @ N ) @ ( cons @ N @ D @ D0 ) @ ( cons @ N @ D @ D0_prime ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(app_type,type,
% 1.86/1.32 app: nat > nat > list > list > list ).
% 1.86/1.32
% 1.86/1.32 thf(app_tp_ax,axiom,
% 1.86/1.32 ! [N: nat,M: nat,D: list,D_prime: list] :
% 1.86/1.32 ( ( listStar @ N @ D @ D_prime )
% 1.86/1.32 => ! [D0: list,D0_prime: list] :
% 1.86/1.32 ( ( listStar @ M @ D0 @ D0_prime )
% 1.86/1.32 => ( listStar @ ( plus @ N @ M ) @ ( app @ N @ M @ D @ D0 ) @ ( app @ N @ M @ D_prime @ D0_prime ) ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(rev_type,type,
% 1.86/1.32 rev: nat > list > list ).
% 1.86/1.32
% 1.86/1.32 thf(rev_tp_ax,axiom,
% 1.86/1.32 ! [N: nat,D: list,D_prime: list] :
% 1.86/1.32 ( ( listStar @ N @ D @ D_prime )
% 1.86/1.32 => ( listStar @ N @ ( rev @ N @ D ) @ ( rev @ N @ D_prime ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(peano1,axiom,
% 1.86/1.32 ! [N: nat] :
% 1.86/1.32 ( ( suc @ N )
% 1.86/1.32 != zero ) ).
% 1.86/1.32
% 1.86/1.32 thf(peano2,axiom,
% 1.86/1.32 ! [N: nat,M: nat] :
% 1.86/1.32 ( ( N != M )
% 1.86/1.32 => ( ( suc @ N )
% 1.86/1.32 != ( suc @ M ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(peano3,axiom,
% 1.86/1.32 ! [P: nat > $o] :
% 1.86/1.32 ( ( P @ zero )
% 1.86/1.32 => ( ! [M: nat] :
% 1.86/1.32 ( ( P @ M )
% 1.86/1.32 => ( P @ ( suc @ M ) ) )
% 1.86/1.32 => ! [N: nat] : ( P @ N ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(ax1,axiom,
% 1.86/1.32 ! [N: nat] :
% 1.86/1.32 ( ( plus @ zero @ N )
% 1.86/1.32 = N ) ).
% 1.86/1.32
% 1.86/1.32 thf(ax2,axiom,
% 1.86/1.32 ! [N: nat,M: nat] :
% 1.86/1.32 ( ( plus @ ( suc @ N ) @ M )
% 1.86/1.32 = ( suc @ ( plus @ N @ M ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(plus_zero_r,axiom,
% 1.86/1.32 ! [M: nat] :
% 1.86/1.32 ( ( plus @ M @ zero )
% 1.86/1.32 = M ) ).
% 1.86/1.32
% 1.86/1.32 thf(plus_com,axiom,
% 1.86/1.32 ! [N: nat,M: nat] :
% 1.86/1.32 ( ( plus @ N @ M )
% 1.86/1.32 = ( plus @ M @ N ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(plus_assoc,axiom,
% 1.86/1.32 ! [M1: nat,M2: nat,M3: nat] :
% 1.86/1.32 ( ( plus @ M1 @ ( plus @ M2 @ M3 ) )
% 1.86/1.32 = ( plus @ ( plus @ M1 @ M2 ) @ M3 ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(plus1r,axiom,
% 1.86/1.32 ! [N: nat] :
% 1.86/1.32 ( ( suc @ N )
% 1.86/1.32 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(plus1ra,axiom,
% 1.86/1.32 ! [N: nat,M: nat] :
% 1.86/1.32 ( ( plus @ ( plus @ N @ ( suc @ zero ) ) @ M )
% 1.86/1.32 = ( plus @ N @ ( suc @ M ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(list_app_assoc_m1_step2,axiom,
% 1.86/1.32 ! [M: nat,L: list,X: elem,M3: nat,L3: list] :
% 1.86/1.32 ( ( listStar @ M @ L @ L )
% 1.86/1.32 => ( ( listStar @ M3 @ L3 @ L3 )
% 1.86/1.32 => ( listStar @ ( plus @ ( plus @ M3 @ ( suc @ zero ) ) @ M3 ) @ ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 ) @ ( app @ M @ ( suc @ M3 ) @ L @ ( app @ ( suc @ zero ) @ M3 @ ( cons @ zero @ X @ nil ) @ L3 ) ) ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(list_app_assoc_m1_step3,axiom,
% 1.86/1.32 ! [M: nat,L: list,X: elem,M3: nat,L3: list] :
% 1.86/1.32 ( ( listStar @ M @ L @ L )
% 1.86/1.32 => ( ( listStar @ M3 @ L3 @ L3 )
% 1.86/1.32 => ( ( listStar @ ( plus @ ( plus @ M3 @ ( suc @ zero ) ) @ M3 ) @ ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 ) @ ( app @ M @ ( suc @ M3 ) @ L @ ( app @ ( suc @ zero ) @ M3 @ ( cons @ zero @ X @ nil ) @ L3 ) ) )
% 1.86/1.32 => ( listStar @ ( plus @ ( plus @ M3 @ ( suc @ zero ) ) @ M3 ) @ ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 ) @ ( app @ M @ ( suc @ M3 ) @ L @ ( cons @ M3 @ X @ ( app @ zero @ M3 @ nil @ L3 ) ) ) ) ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(list_app_assoc_m1_step4,axiom,
% 1.86/1.32 ! [M: nat,L: list,X: elem,M3: nat,L3: list] :
% 1.86/1.32 ( ( listStar @ M @ L @ L )
% 1.86/1.32 => ( ( listStar @ M3 @ L3 @ L3 )
% 1.86/1.32 => ( ( listStar @ ( plus @ ( plus @ M3 @ ( suc @ zero ) ) @ M3 ) @ ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 ) @ ( app @ M @ ( suc @ M3 ) @ L @ ( cons @ M3 @ X @ ( app @ zero @ M3 @ nil @ L3 ) ) ) )
% 1.86/1.32 => ( listStar @ ( plus @ ( plus @ M3 @ ( suc @ zero ) ) @ M3 ) @ ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 ) @ ( app @ M @ ( suc @ M3 ) @ L @ ( cons @ M3 @ X @ L3 ) ) ) ) ) ) ).
% 1.86/1.32
% 1.86/1.32 thf(list_app_assoc_m1,conjecture,
% 1.86/1.32 ! [M: nat,L: list,X: elem,M3: nat,L3: list] :
% 1.86/1.32 ( ( listStar @ M @ L @ L )
% 1.86/1.32 => ( ( listStar @ M3 @ L3 @ L3 )
% 1.86/1.32 => ( listStar @ ( plus @ ( plus @ M3 @ ( suc @ zero ) ) @ M3 ) @ ( app @ ( plus @ M @ ( suc @ zero ) ) @ M3 @ ( app @ M @ ( suc @ zero ) @ L @ ( cons @ zero @ X @ nil ) ) @ L3 ) @ ( app @ M @ ( suc @ M3 ) @ L @ ( cons @ M3 @ X @ L3 ) ) ) ) ) ).
% 1.86/1.32 ------------------------
% 1.86/1.34 % (23211)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/18Mi)
% 1.86/1.34 % (23210)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_23090 for (2999ds/275Mi)
% 1.86/1.34 % (23208)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/2Mi)
% 1.86/1.34 % (23208)Instruction limit reached!
% 1.86/1.34 % (23208)------------------------------
% 1.86/1.34 % (23208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.34 % (23208)Termination reason: Unknown
% 1.86/1.34 % (23208)Termination phase: shuffling
% 1.86/1.34
% 1.86/1.34 % (23208)Memory used [KB]: 1023
% 1.86/1.34 % (23208)Time elapsed: 0.002 s
% 1.86/1.34 % (23208)Instructions burned: 3 (million)
% 1.86/1.34 % (23208)------------------------------
% 1.86/1.34 % (23208)------------------------------
% 1.86/1.34 % (23210)Refutation not found, incomplete strategy
% 1.86/1.34 % (23210)------------------------------
% 1.86/1.34 % (23210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.34 % (23210)Termination reason: Refutation not found, incomplete strategy
% 1.86/1.34
% 1.86/1.34
% 1.86/1.34 % (23210)Memory used [KB]: 5628
% 1.86/1.34 % (23210)Time elapsed: 0.005 s
% 1.86/1.34 % (23210)Instructions burned: 12 (million)
% 1.86/1.34 % (23210)------------------------------
% 1.86/1.34 % (23210)------------------------------
% 1.86/1.34 % (23211)Instruction limit reached!
% 1.86/1.34 % (23211)------------------------------
% 1.86/1.34 % (23211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.34 % (23211)Termination reason: Unknown
% 1.86/1.34 % (23211)Termination phase: Saturation
% 1.86/1.34
% 1.86/1.34 % (23211)Memory used [KB]: 5628
% 1.86/1.34 % (23211)Time elapsed: 0.007 s
% 1.86/1.34 % (23211)Instructions burned: 19 (million)
% 1.86/1.34 % (23211)------------------------------
% 1.86/1.34 % (23211)------------------------------
% 1.86/1.34 % (23205)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/183Mi)
% 1.86/1.34 % (23206)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_23090 for (2999ds/4Mi)
% 1.86/1.34 % (23207)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_23090 for (2999ds/27Mi)
% 1.86/1.34 % (23209)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_23090 for (2999ds/2Mi)
% 1.86/1.35 % (23209)Instruction limit reached!
% 1.86/1.35 % (23209)------------------------------
% 1.86/1.35 % (23209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.35 % (23209)Termination reason: Unknown
% 1.86/1.35 % (23209)Termination phase: shuffling
% 1.86/1.35
% 1.86/1.35 % (23209)Memory used [KB]: 1023
% 1.86/1.35 % (23209)Time elapsed: 0.003 s
% 1.86/1.35 % (23209)Instructions burned: 2 (million)
% 1.86/1.35 % (23209)------------------------------
% 1.86/1.35 % (23209)------------------------------
% 1.86/1.35 % (23206)Instruction limit reached!
% 1.86/1.35 % (23206)------------------------------
% 1.86/1.35 % (23206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.35 % (23206)Termination reason: Unknown
% 1.86/1.35 % (23206)Termination phase: shuffling
% 1.86/1.35
% 1.86/1.35 % (23206)Memory used [KB]: 1023
% 1.86/1.35 % (23206)Time elapsed: 0.004 s
% 1.86/1.35 % (23206)Instructions burned: 4 (million)
% 1.86/1.35 % (23206)------------------------------
% 1.86/1.35 % (23206)------------------------------
% 1.86/1.35 % (23212)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/3Mi)
% 1.86/1.35 % (23212)Instruction limit reached!
% 1.86/1.35 % (23212)------------------------------
% 1.86/1.35 % (23212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.35 % (23212)Termination reason: Unknown
% 1.86/1.35 % (23212)Termination phase: shuffling
% 1.86/1.35
% 1.86/1.35 % (23212)Memory used [KB]: 1023
% 1.86/1.35 % (23212)Time elapsed: 0.003 s
% 1.86/1.35 % (23212)Instructions burned: 4 (million)
% 1.86/1.35 % (23212)------------------------------
% 1.86/1.35 % (23212)------------------------------
% 1.86/1.35 % (23214)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_23090 for (2999ds/15Mi)
% 1.86/1.35 % (23213)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_23090 for (2999ds/37Mi)
% 1.86/1.36 % (23214)Instruction limit reached!
% 1.86/1.36 % (23214)------------------------------
% 1.86/1.36 % (23214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.36 % (23214)Termination reason: Unknown
% 1.86/1.36 % (23214)Termination phase: Saturation
% 1.86/1.36
% 1.86/1.36 % (23214)Memory used [KB]: 5628
% 1.86/1.36 % (23214)Time elapsed: 0.006 s
% 1.86/1.36 % (23214)Instructions burned: 17 (million)
% 1.86/1.36 % (23214)------------------------------
% 1.86/1.36 % (23214)------------------------------
% 1.86/1.36 % (23217)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/7Mi)
% 1.86/1.36 % (23207)Instruction limit reached!
% 1.86/1.36 % (23207)------------------------------
% 1.86/1.36 % (23207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.36 % (23207)Termination reason: Unknown
% 1.86/1.36 % (23207)Termination phase: Saturation
% 1.86/1.36
% 1.86/1.36 % (23207)Memory used [KB]: 5628
% 1.86/1.36 % (23207)Time elapsed: 0.019 s
% 1.86/1.36 % (23207)Instructions burned: 27 (million)
% 1.86/1.36 % (23207)------------------------------
% 1.86/1.36 % (23207)------------------------------
% 1.86/1.36 % (23217)Instruction limit reached!
% 1.86/1.36 % (23217)------------------------------
% 1.86/1.36 % (23217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.36 % (23217)Termination reason: Unknown
% 1.86/1.36 % (23217)Termination phase: Preprocessing 3
% 1.86/1.36
% 1.86/1.36 % (23217)Memory used [KB]: 1023
% 1.86/1.36 % (23217)Time elapsed: 0.004 s
% 1.86/1.36 % (23217)Instructions burned: 7 (million)
% 1.86/1.36 % (23217)------------------------------
% 1.86/1.36 % (23217)------------------------------
% 1.86/1.36 % (23215)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_23090 for (2999ds/3Mi)
% 1.86/1.36 % (23216)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_23090 for (2999ds/1041Mi)
% 1.86/1.36 % (23213)Instruction limit reached!
% 1.86/1.36 % (23213)------------------------------
% 1.86/1.36 % (23213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.36 % (23213)Termination reason: Unknown
% 1.86/1.36 % (23213)Termination phase: Saturation
% 1.86/1.36
% 1.86/1.36 % (23213)Memory used [KB]: 5756
% 1.86/1.36 % (23213)Time elapsed: 0.013 s
% 1.86/1.36 % (23213)Instructions burned: 37 (million)
% 1.86/1.36 % (23213)------------------------------
% 1.86/1.36 % (23213)------------------------------
% 1.86/1.37 % (23215)Instruction limit reached!
% 1.86/1.37 % (23215)------------------------------
% 1.86/1.37 % (23215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.37 % (23215)Termination reason: Unknown
% 1.86/1.37 % (23215)Termination phase: shuffling
% 1.86/1.37
% 1.86/1.37 % (23215)Memory used [KB]: 1023
% 1.86/1.37 % (23215)Time elapsed: 0.004 s
% 1.86/1.37 % (23215)Instructions burned: 4 (million)
% 1.86/1.37 % (23215)------------------------------
% 1.86/1.37 % (23215)------------------------------
% 1.86/1.37 % (23218)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/16Mi)
% 1.86/1.37 % (23218)Instruction limit reached!
% 1.86/1.37 % (23218)------------------------------
% 1.86/1.37 % (23218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.37 % (23218)Termination reason: Unknown
% 1.86/1.37 % (23218)Termination phase: Saturation
% 1.86/1.37
% 1.86/1.37 % (23218)Memory used [KB]: 5628
% 1.86/1.37 % (23218)Time elapsed: 0.006 s
% 1.86/1.37 % (23218)Instructions burned: 17 (million)
% 1.86/1.37 % (23218)------------------------------
% 1.86/1.37 % (23218)------------------------------
% 1.86/1.37 % (23220)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_23090 for (2999ds/3Mi)
% 1.86/1.37 % (23220)Instruction limit reached!
% 1.86/1.37 % (23220)------------------------------
% 1.86/1.37 % (23220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.37 % (23220)Termination reason: Unknown
% 1.86/1.37 % (23220)Termination phase: shuffling
% 1.86/1.37
% 1.86/1.37 % (23220)Memory used [KB]: 1023
% 1.86/1.37 % (23220)Time elapsed: 0.003 s
% 1.86/1.37 % (23220)Instructions burned: 4 (million)
% 1.86/1.37 % (23220)------------------------------
% 1.86/1.37 % (23220)------------------------------
% 1.86/1.37 % (23221)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/7Mi)
% 1.86/1.38 % (23221)Instruction limit reached!
% 1.86/1.38 % (23221)------------------------------
% 1.86/1.38 % (23221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.38 % (23221)Termination reason: Unknown
% 1.86/1.38 % (23221)Termination phase: Preprocessing 3
% 1.86/1.38
% 1.86/1.38 % (23221)Memory used [KB]: 1023
% 1.86/1.38 % (23221)Time elapsed: 0.004 s
% 1.86/1.38 % (23221)Instructions burned: 7 (million)
% 1.86/1.38 % (23221)------------------------------
% 1.86/1.38 % (23221)------------------------------
% 1.86/1.38 % (23219)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_23090 for (2999ds/3Mi)
% 1.86/1.38 % (23223)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/4Mi)
% 1.86/1.38 % (23219)Instruction limit reached!
% 1.86/1.38 % (23219)------------------------------
% 1.86/1.38 % (23219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.38 % (23219)Termination reason: Unknown
% 1.86/1.38 % (23219)Termination phase: shuffling
% 1.86/1.38
% 1.86/1.38 % (23219)Memory used [KB]: 1023
% 1.86/1.38 % (23219)Time elapsed: 0.004 s
% 1.86/1.38 % (23219)Instructions burned: 4 (million)
% 1.86/1.38 % (23219)------------------------------
% 1.86/1.38 % (23219)------------------------------
% 1.86/1.38 % (23223)Instruction limit reached!
% 1.86/1.38 % (23223)------------------------------
% 1.86/1.38 % (23223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.38 % (23223)Termination reason: Unknown
% 1.86/1.38 % (23223)Termination phase: shuffling
% 1.86/1.38
% 1.86/1.38 % (23223)Memory used [KB]: 1023
% 1.86/1.38 % (23223)Time elapsed: 0.002 s
% 1.86/1.38 % (23223)Instructions burned: 4 (million)
% 1.86/1.38 % (23223)------------------------------
% 1.86/1.38 % (23223)------------------------------
% 1.86/1.38 % (23222)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/3Mi)
% 1.86/1.38 % (23224)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/18Mi)
% 1.86/1.38 % (23222)Instruction limit reached!
% 1.86/1.38 % (23222)------------------------------
% 1.86/1.38 % (23222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.38 % (23222)Termination reason: Unknown
% 1.86/1.38 % (23222)Termination phase: shuffling
% 1.86/1.38
% 1.86/1.38 % (23222)Memory used [KB]: 1023
% 1.86/1.38 % (23222)Time elapsed: 0.004 s
% 1.86/1.38 % (23222)Instructions burned: 4 (million)
% 1.86/1.38 % (23222)------------------------------
% 1.86/1.38 % (23222)------------------------------
% 1.86/1.39 % (23225)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/710Mi)
% 1.86/1.39 % (23224)Instruction limit reached!
% 1.86/1.39 % (23224)------------------------------
% 1.86/1.39 % (23224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.39 % (23224)Termination reason: Unknown
% 1.86/1.39 % (23224)Termination phase: Saturation
% 1.86/1.39
% 1.86/1.39 % (23224)Memory used [KB]: 5628
% 1.86/1.39 % (23224)Time elapsed: 0.008 s
% 1.86/1.39 % (23224)Instructions burned: 19 (million)
% 1.86/1.39 % (23224)------------------------------
% 1.86/1.39 % (23224)------------------------------
% 1.86/1.39 % (23227)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_23090 for (2999ds/902Mi)
% 1.89/1.40 % (23226)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/6Mi)
% 1.89/1.40 % (23229)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/5Mi)
% 1.89/1.40 % (23228)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_23090 for (2999ds/21Mi)
% 1.89/1.40 % (23229)Instruction limit reached!
% 1.89/1.40 % (23229)------------------------------
% 1.89/1.40 % (23229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.40 % (23229)Termination reason: Unknown
% 1.89/1.40 % (23229)Termination phase: Property scanning
% 1.89/1.40
% 1.89/1.40 % (23229)Memory used [KB]: 1023
% 1.89/1.40 % (23229)Time elapsed: 0.004 s
% 1.89/1.40 % (23229)Instructions burned: 8 (million)
% 1.89/1.40 % (23229)------------------------------
% 1.89/1.40 % (23229)------------------------------
% 1.89/1.40 % (23226)Instruction limit reached!
% 1.89/1.40 % (23226)------------------------------
% 1.89/1.40 % (23226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.40 % (23226)Termination reason: Unknown
% 1.89/1.40 % (23226)Termination phase: Preprocessing 3
% 1.89/1.40
% 1.89/1.40 % (23226)Memory used [KB]: 1023
% 1.89/1.40 % (23226)Time elapsed: 0.006 s
% 1.89/1.40 % (23226)Instructions burned: 7 (million)
% 1.89/1.40 % (23226)------------------------------
% 1.89/1.40 % (23226)------------------------------
% 1.89/1.41 % (23230)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_23090 for (2999ds/6Mi)
% 1.89/1.41 % (23230)Instruction limit reached!
% 1.89/1.41 % (23230)------------------------------
% 1.89/1.41 % (23230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.41 % (23230)Termination reason: Unknown
% 1.89/1.41 % (23230)Termination phase: SInE selection
% 1.89/1.41
% 1.89/1.41 % (23230)Memory used [KB]: 1023
% 1.89/1.41 % (23230)Time elapsed: 0.004 s
% 1.89/1.41 % (23230)Instructions burned: 8 (million)
% 1.89/1.41 % (23230)------------------------------
% 1.89/1.41 % (23230)------------------------------
% 1.89/1.42 % (23228)Instruction limit reached!
% 1.89/1.42 % (23228)------------------------------
% 1.89/1.42 % (23228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.42 % (23228)Termination reason: Unknown
% 1.89/1.42 % (23228)Termination phase: Saturation
% 1.89/1.42
% 1.89/1.42 % (23228)Memory used [KB]: 5628
% 1.89/1.42 % (23228)Time elapsed: 0.015 s
% 1.89/1.42 % (23228)Instructions burned: 22 (million)
% 1.89/1.42 % (23228)------------------------------
% 1.89/1.42 % (23228)------------------------------
% 1.89/1.42 % (23231)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_23090 for (2999ds/377Mi)
% 1.89/1.42 % (23232)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_23090 for (2999ds/779Mi)
% 1.89/1.43 % (23233)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_23090 for (2999ds/19Mi)
% 1.89/1.44 % (23233)Instruction limit reached!
% 1.89/1.44 % (23233)------------------------------
% 1.89/1.44 % (23233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.44 % (23233)Termination reason: Unknown
% 1.89/1.44 % (23233)Termination phase: Saturation
% 1.89/1.44
% 1.89/1.44 % (23233)Memory used [KB]: 5628
% 1.89/1.44 % (23233)Time elapsed: 0.013 s
% 1.89/1.44 % (23233)Instructions burned: 20 (million)
% 1.89/1.44 % (23233)------------------------------
% 1.89/1.44 % (23233)------------------------------
% 1.89/1.45 % (23205)Instruction limit reached!
% 1.89/1.45 % (23205)------------------------------
% 1.89/1.45 % (23205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.45 % (23205)Termination reason: Unknown
% 1.89/1.45 % (23205)Termination phase: Saturation
% 1.89/1.45
% 1.89/1.45 % (23205)Memory used [KB]: 6396
% 1.89/1.45 % (23205)Time elapsed: 0.107 s
% 1.89/1.45 % (23205)Instructions burned: 184 (million)
% 1.89/1.45 % (23205)------------------------------
% 1.89/1.45 % (23205)------------------------------
% 1.89/1.46 % (23234)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_23090 for (2998ds/879Mi)
% 1.89/1.46 % (23235)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_23090 for (2998ds/17Mi)
% 1.89/1.47 % (23235)Instruction limit reached!
% 1.89/1.47 % (23235)------------------------------
% 1.89/1.47 % (23235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.47 % (23235)Termination reason: Unknown
% 1.89/1.47 % (23235)Termination phase: Saturation
% 1.89/1.47
% 1.89/1.47 % (23235)Memory used [KB]: 5756
% 1.89/1.47 % (23235)Time elapsed: 0.008 s
% 1.89/1.47 % (23235)Instructions burned: 17 (million)
% 1.89/1.47 % (23235)------------------------------
% 1.89/1.47 % (23235)------------------------------
% 1.89/1.48 % (23236)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_23090 for (2998ds/3Mi)
% 1.89/1.48 % (23236)Instruction limit reached!
% 1.89/1.48 % (23236)------------------------------
% 1.89/1.48 % (23236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.48 % (23236)Termination reason: Unknown
% 1.89/1.48 % (23236)Termination phase: shuffling
% 1.89/1.48
% 1.89/1.48 % (23236)Memory used [KB]: 1023
% 1.89/1.48 % (23236)Time elapsed: 0.004 s
% 1.89/1.48 % (23236)Instructions burned: 4 (million)
% 1.89/1.48 % (23236)------------------------------
% 1.89/1.48 % (23236)------------------------------
% 1.89/1.50 % (23240)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_23090 for (2998ds/30Mi)
% 1.89/1.51 % (23240)Instruction limit reached!
% 1.89/1.51 % (23240)------------------------------
% 1.89/1.51 % (23240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.51 % (23240)Termination reason: Unknown
% 1.89/1.51 % (23240)Termination phase: Saturation
% 1.89/1.51
% 1.89/1.51 % (23240)Memory used [KB]: 5628
% 1.89/1.51 % (23240)Time elapsed: 0.011 s
% 1.89/1.51 % (23240)Instructions burned: 30 (million)
% 1.89/1.51 % (23240)------------------------------
% 1.89/1.51 % (23240)------------------------------
% 1.89/1.52 % (23255)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_23090 for (2998ds/127Mi)
% 1.89/1.56 % (23255)Instruction limit reached!
% 1.89/1.56 % (23255)------------------------------
% 1.89/1.56 % (23255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.56 % (23255)Termination reason: Unknown
% 1.89/1.56 % (23255)Termination phase: Saturation
% 1.89/1.56
% 1.89/1.56 % (23255)Memory used [KB]: 6012
% 1.89/1.56 % (23255)Time elapsed: 0.045 s
% 1.89/1.56 % (23255)Instructions burned: 127 (million)
% 1.89/1.56 % (23255)------------------------------
% 1.89/1.56 % (23255)------------------------------
% 1.89/1.56 % (23231)Instruction limit reached!
% 1.89/1.56 % (23231)------------------------------
% 1.89/1.56 % (23231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.56 % (23231)Termination reason: Unknown
% 1.89/1.56 % (23231)Termination phase: Saturation
% 1.89/1.56
% 1.89/1.56 % (23231)Memory used [KB]: 6140
% 1.89/1.56 % (23231)Time elapsed: 0.145 s
% 1.89/1.56 % (23231)Instructions burned: 378 (million)
% 1.89/1.56 % (23231)------------------------------
% 1.89/1.56 % (23231)------------------------------
% 1.89/1.57 % (23256)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_23090 for (2997ds/100Mi)
% 1.89/1.57 % (23257)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_23090 for (2997ds/3Mi)
% 1.89/1.58 % (23257)Instruction limit reached!
% 1.89/1.58 % (23257)------------------------------
% 1.89/1.58 % (23257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.58 % (23257)Termination reason: Unknown
% 1.89/1.58 % (23257)Termination phase: shuffling
% 1.89/1.58
% 1.89/1.58 % (23257)Memory used [KB]: 1023
% 1.89/1.58 % (23257)Time elapsed: 0.003 s
% 1.89/1.58 % (23257)Instructions burned: 4 (million)
% 1.89/1.58 % (23257)------------------------------
% 1.89/1.58 % (23257)------------------------------
% 1.89/1.59 % (23258)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_23090 for (2997ds/20Mi)
% 1.89/1.59 % (23258)Instruction limit reached!
% 1.89/1.59 % (23258)------------------------------
% 1.89/1.59 % (23258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.59 % (23258)Termination reason: Unknown
% 1.89/1.59 % (23258)Termination phase: Saturation
% 1.89/1.59
% 1.89/1.59 % (23258)Memory used [KB]: 5628
% 1.89/1.59 % (23258)Time elapsed: 0.009 s
% 1.89/1.59 % (23258)Instructions burned: 22 (million)
% 1.89/1.59 % (23258)------------------------------
% 1.89/1.59 % (23258)------------------------------
% 1.89/1.60 % (23256)Instruction limit reached!
% 1.89/1.60 % (23256)------------------------------
% 1.89/1.60 % (23256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.60 % (23256)Termination reason: Unknown
% 1.89/1.60 % (23256)Termination phase: Saturation
% 1.89/1.60
% 1.89/1.60 % (23256)Memory used [KB]: 6012
% 1.89/1.60 % (23256)Time elapsed: 0.034 s
% 1.89/1.60 % (23256)Instructions burned: 100 (million)
% 1.89/1.60 % (23256)------------------------------
% 1.89/1.60 % (23256)------------------------------
% 1.89/1.60 % (23259)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_23090 for (2997ds/86Mi)
% 1.89/1.61 % (23225)Instruction limit reached!
% 1.89/1.61 % (23225)------------------------------
% 1.89/1.61 % (23225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.61 % (23225)Termination reason: Unknown
% 1.89/1.61 % (23225)Termination phase: Saturation
% 1.89/1.61
% 1.89/1.61 % (23225)Memory used [KB]: 7036
% 1.89/1.61 % (23225)Time elapsed: 0.222 s
% 1.89/1.61 % (23225)Instructions burned: 712 (million)
% 1.89/1.61 % (23225)------------------------------
% 1.89/1.61 % (23225)------------------------------
% 1.89/1.61 % (23260)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_23090 for (2997ds/107Mi)
% 1.89/1.62 % (23261)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_23090 for (2997ds/39Mi)
% 1.89/1.63 % (23261)Instruction limit reached!
% 1.89/1.63 % (23261)------------------------------
% 1.89/1.63 % (23261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.63 % (23261)Termination reason: Unknown
% 1.89/1.63 % (23261)Termination phase: Saturation
% 1.89/1.63
% 1.89/1.63 % (23261)Memory used [KB]: 5756
% 1.89/1.63 % (23261)Time elapsed: 0.014 s
% 1.89/1.63 % (23261)Instructions burned: 41 (million)
% 1.89/1.63 % (23261)------------------------------
% 1.89/1.63 % (23261)------------------------------
% 1.89/1.63 % (23259)Instruction limit reached!
% 1.89/1.63 % (23259)------------------------------
% 1.89/1.63 % (23259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.63 % (23259)Termination reason: Unknown
% 1.89/1.63 % (23259)Termination phase: Saturation
% 1.89/1.63
% 1.89/1.63 % (23259)Memory used [KB]: 6140
% 1.89/1.63 % (23259)Time elapsed: 0.030 s
% 1.89/1.63 % (23259)Instructions burned: 86 (million)
% 1.89/1.63 % (23259)------------------------------
% 1.89/1.63 % (23259)------------------------------
% 1.89/1.64 % (23262)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_23090 for (2996ds/448Mi)
% 1.89/1.64 % (23263)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_23090 for (2996ds/46Mi)
% 1.89/1.65 % (23260)Instruction limit reached!
% 1.89/1.65 % (23260)------------------------------
% 1.89/1.65 % (23260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.65 % (23260)Termination reason: Unknown
% 1.89/1.65 % (23260)Termination phase: Saturation
% 1.89/1.65
% 1.89/1.65 % (23260)Memory used [KB]: 5884
% 1.89/1.65 % (23260)Time elapsed: 0.037 s
% 1.89/1.65 % (23260)Instructions burned: 107 (million)
% 1.89/1.65 % (23260)------------------------------
% 1.89/1.65 % (23260)------------------------------
% 1.89/1.66 % (23227)Instruction limit reached!
% 1.89/1.66 % (23227)------------------------------
% 1.89/1.66 % (23227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.66 % (23227)Termination reason: Unknown
% 1.89/1.66 % (23227)Termination phase: Saturation
% 1.89/1.66
% 1.89/1.66 % (23227)Memory used [KB]: 6268
% 1.89/1.66 % (23227)Time elapsed: 0.265 s
% 1.89/1.66 % (23227)Instructions burned: 903 (million)
% 1.89/1.66 % (23227)------------------------------
% 1.89/1.66 % (23227)------------------------------
% 1.89/1.66 % (23264)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_23090 for (2996ds/98Mi)
% 1.89/1.66 % (23263)Instruction limit reached!
% 1.89/1.66 % (23263)------------------------------
% 1.89/1.66 % (23263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.66 % (23263)Termination reason: Unknown
% 1.89/1.66 % (23263)Termination phase: Saturation
% 1.89/1.66
% 1.89/1.66 % (23263)Memory used [KB]: 5756
% 1.89/1.66 % (23263)Time elapsed: 0.018 s
% 1.89/1.66 % (23263)Instructions burned: 48 (million)
% 1.89/1.66 % (23263)------------------------------
% 1.89/1.66 % (23263)------------------------------
% 1.89/1.66 % (23265)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_23090 for (2996ds/507Mi)
% 1.89/1.67 % (23266)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_23090 for (2996ds/149Mi)
% 1.89/1.67 % (23232)Instruction limit reached!
% 1.89/1.67 % (23232)------------------------------
% 1.89/1.67 % (23232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.67 % (23232)Termination reason: Unknown
% 1.89/1.67 % (23232)Termination phase: Saturation
% 1.89/1.67
% 1.89/1.67 % (23232)Memory used [KB]: 6524
% 1.89/1.67 % (23232)Time elapsed: 0.249 s
% 1.89/1.67 % (23232)Instructions burned: 780 (million)
% 1.89/1.67 % (23232)------------------------------
% 1.89/1.67 % (23232)------------------------------
% 1.89/1.68 % (23267)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_23090 for (2996ds/39Mi)
% 1.89/1.69 % (23264)Instruction limit reached!
% 1.89/1.69 % (23264)------------------------------
% 1.89/1.69 % (23264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.69 % (23264)Termination reason: Unknown
% 1.89/1.69 % (23264)Termination phase: Saturation
% 1.89/1.69
% 1.89/1.69 % (23264)Memory used [KB]: 1279
% 1.89/1.69 % (23264)Time elapsed: 0.034 s
% 1.89/1.69 % (23264)Instructions burned: 99 (million)
% 1.89/1.69 % (23264)------------------------------
% 1.89/1.69 % (23264)------------------------------
% 1.89/1.69 % (23267)Instruction limit reached!
% 1.89/1.69 % (23267)------------------------------
% 1.89/1.69 % (23267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.69 % (23267)Termination reason: Unknown
% 1.89/1.69 % (23267)Termination phase: Saturation
% 1.89/1.69
% 1.89/1.69 % (23267)Memory used [KB]: 5756
% 1.89/1.69 % (23267)Time elapsed: 0.014 s
% 1.89/1.69 % (23267)Instructions burned: 41 (million)
% 1.89/1.69 % (23267)------------------------------
% 1.89/1.69 % (23267)------------------------------
% 1.89/1.70 % (23268)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_23090 for (2996ds/6Mi)
% 1.89/1.70 % (23216)Instruction limit reached!
% 1.89/1.70 % (23216)------------------------------
% 1.89/1.70 % (23216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.70 % (23268)Instruction limit reached!
% 1.89/1.70 % (23268)------------------------------
% 1.89/1.70 % (23268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.70 % (23268)Termination reason: Unknown
% 1.89/1.70 % (23268)Termination phase: shuffling
% 1.89/1.70
% 1.89/1.70 % (23268)Memory used [KB]: 1023
% 1.89/1.70 % (23268)Time elapsed: 0.004 s
% 1.89/1.70 % (23268)Instructions burned: 8 (million)
% 1.89/1.70 % (23268)------------------------------
% 1.89/1.70 % (23268)------------------------------
% 1.89/1.70 % (23216)Termination reason: Unknown
% 1.89/1.70 % (23216)Termination phase: Saturation
% 1.89/1.70
% 1.89/1.70 % (23216)Memory used [KB]: 7291
% 1.89/1.70 % (23216)Time elapsed: 0.362 s
% 1.89/1.70 % (23216)Instructions burned: 1043 (million)
% 1.89/1.70 % (23216)------------------------------
% 1.89/1.70 % (23216)------------------------------
% 1.89/1.70 % (23269)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_23090 for (2996ds/1087Mi)
% 1.89/1.71 % (23270)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_23090 for (2996ds/47Mi)
% 1.89/1.71 % (23271)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_23090 for (2996ds/44Mi)
% 1.89/1.72 % (23266)Instruction limit reached!
% 1.89/1.72 % (23266)------------------------------
% 1.89/1.72 % (23266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.72 % (23266)Termination reason: Unknown
% 1.89/1.72 % (23266)Termination phase: Saturation
% 1.89/1.72
% 1.89/1.72 % (23266)Memory used [KB]: 6140
% 1.89/1.72 % (23266)Time elapsed: 0.053 s
% 1.89/1.72 % (23266)Instructions burned: 149 (million)
% 1.89/1.72 % (23266)------------------------------
% 1.89/1.72 % (23266)------------------------------
% 1.89/1.73 % (23271)Instruction limit reached!
% 1.89/1.73 % (23271)------------------------------
% 1.89/1.73 % (23271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.73 % (23271)Termination reason: Unknown
% 1.89/1.73 % (23271)Termination phase: Saturation
% 1.89/1.73
% 1.89/1.73 % (23271)Memory used [KB]: 1279
% 1.89/1.73 % (23271)Time elapsed: 0.016 s
% 1.89/1.73 % (23271)Instructions burned: 45 (million)
% 1.89/1.73 % (23271)------------------------------
% 1.89/1.73 % (23271)------------------------------
% 1.89/1.73 % (23270)Instruction limit reached!
% 1.89/1.73 % (23270)------------------------------
% 1.89/1.73 % (23270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.73 % (23270)Termination reason: Unknown
% 1.89/1.73 % (23270)Termination phase: Saturation
% 1.89/1.73
% 1.89/1.73 % (23270)Memory used [KB]: 5756
% 1.89/1.73 % (23270)Time elapsed: 0.018 s
% 1.89/1.73 % (23270)Instructions burned: 49 (million)
% 1.89/1.73 % (23270)------------------------------
% 1.89/1.73 % (23270)------------------------------
% 1.89/1.73 % (23272)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_23090 for (2996ds/432Mi)
% 1.89/1.74 % (23273)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_23090 for (2996ds/62Mi)
% 1.89/1.74 % (23274)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_23090 for (2996ds/31Mi)
% 1.89/1.75 % (23274)Instruction limit reached!
% 1.89/1.75 % (23274)------------------------------
% 1.89/1.75 % (23274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.75 % (23274)Termination reason: Unknown
% 1.89/1.75 % (23274)Termination phase: Saturation
% 1.89/1.75
% 1.89/1.75 % (23274)Memory used [KB]: 5756
% 1.89/1.75 % (23274)Time elapsed: 0.012 s
% 1.89/1.75 % (23274)Instructions burned: 31 (million)
% 1.89/1.75 % (23274)------------------------------
% 1.89/1.75 % (23274)------------------------------
% 1.89/1.75 % (23234)Instruction limit reached!
% 1.89/1.75 % (23234)------------------------------
% 1.89/1.75 % (23234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.75 % (23234)Termination reason: Unknown
% 1.89/1.75 % (23234)Termination phase: Saturation
% 1.89/1.75
% 1.89/1.75 % (23234)Memory used [KB]: 6780
% 1.89/1.75 % (23234)Time elapsed: 0.293 s
% 1.89/1.75 % (23234)Instructions burned: 881 (million)
% 1.89/1.75 % (23234)------------------------------
% 1.89/1.75 % (23234)------------------------------
% 1.89/1.76 % (23273)Instruction limit reached!
% 1.89/1.76 % (23273)------------------------------
% 1.89/1.76 % (23273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.76 % (23273)Termination reason: Unknown
% 1.89/1.76 % (23273)Termination phase: Saturation
% 1.89/1.76
% 1.89/1.76 % (23273)Memory used [KB]: 5884
% 1.89/1.76 % (23273)Time elapsed: 0.021 s
% 1.89/1.76 % (23273)Instructions burned: 63 (million)
% 1.89/1.76 % (23273)------------------------------
% 1.89/1.76 % (23273)------------------------------
% 1.89/1.76 % (23275)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_23090 for (2995ds/96Mi)
% 1.89/1.76 % (23276)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_23090 for (2995ds/453Mi)
% 1.89/1.77 % (23277)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_23090 for (2995ds/71Mi)
% 1.89/1.77 % (23262)Instruction limit reached!
% 1.89/1.77 % (23262)------------------------------
% 1.89/1.77 % (23262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.77 % (23262)Termination reason: Unknown
% 1.89/1.77 % (23262)Termination phase: Saturation
% 1.89/1.77
% 1.89/1.77 % (23262)Memory used [KB]: 6908
% 1.89/1.77 % (23262)Time elapsed: 0.133 s
% 1.89/1.77 % (23262)Instructions burned: 450 (million)
% 1.89/1.77 % (23262)------------------------------
% 1.89/1.77 % (23262)------------------------------
% 1.89/1.78 % (23278)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_23090 for (2995ds/83Mi)
% 1.89/1.79 % (23277)Instruction limit reached!
% 1.89/1.79 % (23277)------------------------------
% 1.89/1.79 % (23277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.79 % (23277)Termination reason: Unknown
% 1.89/1.79 % (23277)Termination phase: Saturation
% 1.89/1.79
% 1.89/1.79 % (23277)Memory used [KB]: 5884
% 1.89/1.79 % (23277)Time elapsed: 0.023 s
% 1.89/1.79 % (23277)Instructions burned: 72 (million)
% 1.89/1.79 % (23277)------------------------------
% 1.89/1.79 % (23277)------------------------------
% 1.89/1.79 % (23275)Instruction limit reached!
% 1.89/1.79 % (23275)------------------------------
% 1.89/1.79 % (23275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.79 % (23275)Termination reason: Unknown
% 1.89/1.79 % (23275)Termination phase: Saturation
% 1.89/1.79
% 1.89/1.79 % (23275)Memory used [KB]: 5884
% 1.89/1.79 % (23275)Time elapsed: 0.034 s
% 1.89/1.79 % (23275)Instructions burned: 97 (million)
% 1.89/1.79 % (23275)------------------------------
% 1.89/1.79 % (23275)------------------------------
% 1.89/1.80 % (23279)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_23090 for (2995ds/11Mi)
% 1.89/1.80 % (23279)Instruction limit reached!
% 1.89/1.80 % (23279)------------------------------
% 1.89/1.80 % (23279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.80 % (23279)Termination reason: Unknown
% 1.89/1.80 % (23279)Termination phase: Property scanning
% 1.89/1.80
% 1.89/1.80 % (23279)Memory used [KB]: 1023
% 1.89/1.80 % (23279)Time elapsed: 0.004 s
% 1.89/1.80 % (23279)Instructions burned: 13 (million)
% 1.89/1.80 % (23279)------------------------------
% 1.89/1.80 % (23279)------------------------------
% 1.89/1.80 % (23280)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_23090 for (2995ds/41Mi)
% 1.89/1.81 % (23278)Instruction limit reached!
% 1.89/1.81 % (23278)------------------------------
% 1.89/1.81 % (23278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.81 % (23278)Termination reason: Unknown
% 1.89/1.81 % (23278)Termination phase: Saturation
% 1.89/1.81
% 1.89/1.81 % (23278)Memory used [KB]: 5884
% 1.89/1.81 % (23278)Time elapsed: 0.026 s
% 1.89/1.81 % (23278)Instructions burned: 83 (million)
% 1.89/1.81 % (23278)------------------------------
% 1.89/1.81 % (23278)------------------------------
% 1.89/1.81 % (23281)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_23090 for (2995ds/6Mi)
% 1.89/1.81 % (23281)Instruction limit reached!
% 1.89/1.81 % (23281)------------------------------
% 1.89/1.81 % (23281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.81 % (23281)Termination reason: Unknown
% 1.89/1.81 % (23281)Termination phase: Property scanning
% 1.89/1.81
% 1.89/1.81 % (23281)Memory used [KB]: 1023
% 1.89/1.81 % (23281)Time elapsed: 0.003 s
% 1.89/1.81 % (23281)Instructions burned: 8 (million)
% 1.89/1.81 % (23281)------------------------------
% 1.89/1.81 % (23281)------------------------------
% 1.89/1.81 % (23280)Instruction limit reached!
% 1.89/1.81 % (23280)------------------------------
% 1.89/1.81 % (23280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.81 % (23280)Termination reason: Unknown
% 1.89/1.81 % (23280)Termination phase: Saturation
% 1.89/1.81
% 1.89/1.81 % (23280)Memory used [KB]: 5756
% 1.89/1.81 % (23280)Time elapsed: 0.013 s
% 1.89/1.81 % (23280)Instructions burned: 42 (million)
% 1.89/1.81 % (23280)------------------------------
% 1.89/1.81 % (23280)------------------------------
% 1.89/1.81 % (23265)Instruction limit reached!
% 1.89/1.81 % (23265)------------------------------
% 1.89/1.81 % (23265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.81 % (23265)Termination reason: Unknown
% 1.89/1.81 % (23265)Termination phase: Saturation
% 1.89/1.81
% 1.89/1.81 % (23265)Memory used [KB]: 6268
% 1.89/1.81 % (23265)Time elapsed: 0.150 s
% 1.89/1.81 % (23265)Instructions burned: 507 (million)
% 1.89/1.81 % (23265)------------------------------
% 1.89/1.81 % (23265)------------------------------
% 1.89/1.81 % (23282)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_23090 for (2995ds/150Mi)
% 1.89/1.82 % (23283)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_23090 for (2995ds/343Mi)
% 1.89/1.82 % (23284)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_23090 for (2995ds/109Mi)
% 1.89/1.82 % (23285)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_23090 for (2995ds/253Mi)
% 1.89/1.85 % (23284)Instruction limit reached!
% 1.89/1.85 % (23284)------------------------------
% 1.89/1.85 % (23284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.85 % (23284)Termination reason: Unknown
% 1.89/1.85 % (23284)Termination phase: Saturation
% 1.89/1.85
% 1.89/1.85 % (23284)Memory used [KB]: 6140
% 1.89/1.85 % (23284)Time elapsed: 0.056 s
% 1.89/1.85 % (23284)Instructions burned: 109 (million)
% 1.89/1.85 % (23284)------------------------------
% 1.89/1.85 % (23284)------------------------------
% 1.89/1.86 % (23282)Instruction limit reached!
% 1.89/1.86 % (23282)------------------------------
% 1.89/1.86 % (23282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.86 % (23282)Termination reason: Unknown
% 1.89/1.86 % (23282)Termination phase: Saturation
% 1.89/1.86
% 1.89/1.86 % (23282)Memory used [KB]: 6268
% 1.89/1.86 % (23282)Time elapsed: 0.046 s
% 1.89/1.86 % (23282)Instructions burned: 152 (million)
% 1.89/1.86 % (23282)------------------------------
% 1.89/1.86 % (23282)------------------------------
% 1.89/1.86 % (23272)Instruction limit reached!
% 1.89/1.86 % (23272)------------------------------
% 1.89/1.86 % (23272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.86 % (23272)Termination reason: Unknown
% 1.89/1.86 % (23272)Termination phase: Saturation
% 1.89/1.86
% 1.89/1.86 % (23272)Memory used [KB]: 3837
% 1.89/1.86 % (23272)Time elapsed: 0.134 s
% 1.89/1.86 % (23272)Instructions burned: 433 (million)
% 1.89/1.86 % (23272)------------------------------
% 1.89/1.86 % (23272)------------------------------
% 1.89/1.86 % (23286)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_23090 for (2994ds/140Mi)
% 1.89/1.87 % (23287)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_23090 for (2994ds/614Mi)
% 1.89/1.87 % (23288)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_23090 for (2994ds/202Mi)
% 1.89/1.88 % (23288)Refutation not found, incomplete strategy
% 1.89/1.88 % (23288)------------------------------
% 1.89/1.88 % (23288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.88 % (23288)Termination reason: Refutation not found, incomplete strategy
% 1.89/1.88
% 1.89/1.88
% 1.89/1.88 % (23288)Memory used [KB]: 5628
% 1.89/1.88 % (23288)Time elapsed: 0.028 s
% 1.89/1.88 % (23288)Instructions burned: 13 (million)
% 1.89/1.88 % (23288)------------------------------
% 1.89/1.88 % (23288)------------------------------
% 1.89/1.89 % (23289)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_23090 for (2994ds/339Mi)
% 1.89/1.90 % (23285)Instruction limit reached!
% 1.89/1.90 % (23285)------------------------------
% 1.89/1.90 % (23285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.90 % (23285)Termination reason: Unknown
% 1.89/1.90 % (23285)Termination phase: Saturation
% 1.89/1.90
% 1.89/1.90 % (23285)Memory used [KB]: 6140
% 1.89/1.90 % (23285)Time elapsed: 0.097 s
% 1.89/1.90 % (23285)Instructions burned: 254 (million)
% 1.89/1.90 % (23285)------------------------------
% 1.89/1.90 % (23285)------------------------------
% 1.89/1.90 % (23276)Instruction limit reached!
% 1.89/1.90 % (23276)------------------------------
% 1.89/1.90 % (23276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.90 % (23276)Termination reason: Unknown
% 1.89/1.90 % (23276)Termination phase: Saturation
% 1.89/1.90
% 1.89/1.90 % (23276)Memory used [KB]: 6140
% 1.89/1.90 % (23276)Time elapsed: 0.141 s
% 1.89/1.90 % (23276)Instructions burned: 453 (million)
% 1.89/1.90 % (23276)------------------------------
% 1.89/1.90 % (23276)------------------------------
% 1.89/1.91 % (23290)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_23090 for (2994ds/283Mi)
% 1.89/1.91 % (23286)Instruction limit reached!
% 1.89/1.91 % (23286)------------------------------
% 1.89/1.91 % (23286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.91 % (23286)Termination reason: Unknown
% 1.89/1.91 % (23286)Termination phase: Saturation
% 1.89/1.91
% 1.89/1.91 % (23286)Memory used [KB]: 5884
% 1.89/1.91 % (23286)Time elapsed: 0.044 s
% 1.89/1.91 % (23286)Instructions burned: 140 (million)
% 1.89/1.91 % (23286)------------------------------
% 1.89/1.91 % (23286)------------------------------
% 1.89/1.91 % (23291)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_23090 for (2994ds/134Mi)
% 1.89/1.92 % (23292)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_23090 for (2994ds/298Mi)
% 1.89/1.92 % (23283)Instruction limit reached!
% 1.89/1.92 % (23283)------------------------------
% 1.89/1.92 % (23283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.92 % (23283)Termination reason: Unknown
% 1.89/1.92 % (23283)Termination phase: Saturation
% 1.89/1.92
% 1.89/1.92 % (23283)Memory used [KB]: 6140
% 1.89/1.92 % (23283)Time elapsed: 0.125 s
% 1.89/1.92 % (23283)Instructions burned: 343 (million)
% 1.89/1.92 % (23283)------------------------------
% 1.89/1.92 % (23283)------------------------------
% 1.89/1.93 % (23293)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_23090 for (2993ds/192Mi)
% 1.89/1.95 % (23291)Instruction limit reached!
% 1.89/1.95 % (23291)------------------------------
% 1.89/1.95 % (23291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.95 % (23291)Termination reason: Unknown
% 1.89/1.95 % (23291)Termination phase: Saturation
% 1.89/1.95
% 1.89/1.95 % (23291)Memory used [KB]: 6268
% 1.89/1.95 % (23291)Time elapsed: 0.042 s
% 1.89/1.95 % (23291)Instructions burned: 134 (million)
% 1.89/1.95 % (23291)------------------------------
% 1.89/1.95 % (23291)------------------------------
% 1.89/1.96 % (23294)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_23090 for (2993ds/258Mi)
% 1.89/1.99 % (23293)Instruction limit reached!
% 1.89/1.99 % (23293)------------------------------
% 1.89/1.99 % (23293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.99 % (23293)Termination reason: Unknown
% 1.89/1.99 % (23293)Termination phase: Saturation
% 1.89/1.99
% 1.89/1.99 % (23293)Memory used [KB]: 6396
% 1.89/1.99 % (23293)Time elapsed: 0.054 s
% 1.89/1.99 % (23293)Instructions burned: 194 (million)
% 1.89/1.99 % (23293)------------------------------
% 1.89/1.99 % (23293)------------------------------
% 1.89/1.99 % (23290)Instruction limit reached!
% 1.89/1.99 % (23290)------------------------------
% 1.89/1.99 % (23290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.99 % (23290)Termination reason: Unknown
% 1.89/1.99 % (23290)Termination phase: Saturation
% 1.89/1.99
% 1.89/1.99 % (23290)Memory used [KB]: 7036
% 1.89/1.99 % (23290)Time elapsed: 0.083 s
% 1.89/1.99 % (23290)Instructions burned: 285 (million)
% 1.89/1.99 % (23290)------------------------------
% 1.89/1.99 % (23290)------------------------------
% 1.89/1.99 % (23289)Instruction limit reached!
% 1.89/1.99 % (23289)------------------------------
% 1.89/1.99 % (23289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.99 % (23289)Termination reason: Unknown
% 1.89/1.99 % (23289)Termination phase: Saturation
% 1.89/1.99
% 1.89/1.99 % (23289)Memory used [KB]: 6140
% 1.89/1.99 % (23289)Time elapsed: 0.103 s
% 1.89/1.99 % (23289)Instructions burned: 340 (million)
% 1.89/1.99 % (23289)------------------------------
% 1.89/1.99 % (23289)------------------------------
% 1.89/2.00 % (23295)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_23090 for (2993ds/90Mi)
% 1.89/2.00 % (23296)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_23090 for (2993ds/231Mi)
% 1.89/2.01 % (23297)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_23090 for (2993ds/458Mi)
% 1.89/2.01 % (23292)Instruction limit reached!
% 1.89/2.01 % (23292)------------------------------
% 1.89/2.01 % (23292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/2.01 % (23292)Termination reason: Unknown
% 1.89/2.01 % (23292)Termination phase: Saturation
% 1.89/2.01
% 6.62/2.02 % (23292)Memory used [KB]: 6268
% 6.62/2.02 % (23292)Time elapsed: 0.091 s
% 6.62/2.02 % (23292)Instructions burned: 300 (million)
% 6.62/2.02 % (23292)------------------------------
% 6.62/2.02 % (23292)------------------------------
% 6.62/2.02 % (23269)Instruction limit reached!
% 6.62/2.02 % (23269)------------------------------
% 6.62/2.02 % (23269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.03 % (23269)Termination reason: Unknown
% 6.62/2.03 % (23269)Termination phase: Saturation
% 6.62/2.03
% 6.62/2.03 % (23269)Memory used [KB]: 6780
% 6.62/2.03 % (23269)Time elapsed: 0.322 s
% 6.62/2.03 % (23269)Instructions burned: 1087 (million)
% 6.62/2.03 % (23269)------------------------------
% 6.62/2.03 % (23269)------------------------------
% 6.62/2.03 % (23295)Instruction limit reached!
% 6.62/2.03 % (23295)------------------------------
% 6.62/2.03 % (23295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.03 % (23295)Termination reason: Unknown
% 6.62/2.03 % (23295)Termination phase: Saturation
% 6.62/2.03
% 6.62/2.03 % (23295)Memory used [KB]: 5884
% 6.62/2.03 % (23295)Time elapsed: 0.029 s
% 6.62/2.03 % (23295)Instructions burned: 91 (million)
% 6.62/2.03 % (23295)------------------------------
% 6.62/2.03 % (23295)------------------------------
% 6.62/2.03 % (23298)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_23090 for (2993ds/31Mi)
% 6.62/2.03 % (23299)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_23090 for (2993ds/297Mi)
% 6.62/2.04 % (23300)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_23090 for (2993ds/987Mi)
% 6.62/2.04 % (23287)Instruction limit reached!
% 6.62/2.04 % (23287)------------------------------
% 6.62/2.04 % (23287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.04 % (23287)Termination reason: Unknown
% 6.62/2.04 % (23287)Termination phase: Saturation
% 6.62/2.04
% 6.62/2.04 % (23287)Memory used [KB]: 6396
% 6.62/2.04 % (23287)Time elapsed: 0.192 s
% 6.62/2.04 % (23287)Instructions burned: 614 (million)
% 6.62/2.04 % (23287)------------------------------
% 6.62/2.04 % (23287)------------------------------
% 6.62/2.04 % (23294)Instruction limit reached!
% 6.62/2.04 % (23294)------------------------------
% 6.62/2.04 % (23294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.04 % (23294)Termination reason: Unknown
% 6.62/2.04 % (23294)Termination phase: Saturation
% 6.62/2.04
% 6.62/2.04 % (23294)Memory used [KB]: 6140
% 6.62/2.04 % (23294)Time elapsed: 0.078 s
% 6.62/2.04 % (23294)Instructions burned: 260 (million)
% 6.62/2.04 % (23294)------------------------------
% 6.62/2.04 % (23294)------------------------------
% 6.62/2.04 % (23298)Instruction limit reached!
% 6.62/2.04 % (23298)------------------------------
% 6.62/2.04 % (23298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.04 % (23298)Termination reason: Unknown
% 6.62/2.04 % (23298)Termination phase: Saturation
% 6.62/2.04
% 6.62/2.04 % (23298)Memory used [KB]: 5628
% 6.62/2.04 % (23298)Time elapsed: 0.010 s
% 6.62/2.04 % (23298)Instructions burned: 31 (million)
% 6.62/2.04 % (23298)------------------------------
% 6.62/2.04 % (23298)------------------------------
% 6.62/2.05 % (23301)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_23090 for (2992ds/182Mi)
% 6.62/2.05 % (23302)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_23090 for (2992ds/182Mi)
% 6.62/2.05 % (23303)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_23090 for (2992ds/154Mi)
% 6.62/2.06 % (23303)Refutation not found, incomplete strategy
% 6.62/2.06 % (23303)------------------------------
% 6.62/2.06 % (23303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.06 % (23303)Termination reason: Refutation not found, incomplete strategy
% 6.62/2.06
% 6.62/2.06
% 6.62/2.06 % (23303)Memory used [KB]: 5884
% 6.62/2.06 % (23303)Time elapsed: 0.014 s
% 6.62/2.06 % (23303)Instructions burned: 45 (million)
% 6.62/2.06 % (23303)------------------------------
% 6.62/2.06 % (23303)------------------------------
% 6.62/2.07 % (23296)Instruction limit reached!
% 6.62/2.07 % (23296)------------------------------
% 6.62/2.07 % (23296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.07 % (23296)Termination reason: Unknown
% 6.62/2.07 % (23296)Termination phase: Saturation
% 6.62/2.07
% 6.62/2.07 % (23296)Memory used [KB]: 6652
% 6.62/2.07 % (23296)Time elapsed: 0.071 s
% 6.62/2.07 % (23296)Instructions burned: 233 (million)
% 6.62/2.07 % (23296)------------------------------
% 6.62/2.07 % (23296)------------------------------
% 6.62/2.07 % (23304)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_23090 for (2992ds/79Mi)
% 6.62/2.08 % (23305)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_23090 for (2992ds/216Mi)
% 6.62/2.10 % (23304)Instruction limit reached!
% 6.62/2.10 % (23304)------------------------------
% 6.62/2.10 % (23304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.10 % (23304)Termination reason: Unknown
% 6.62/2.10 % (23304)Termination phase: Saturation
% 6.62/2.10
% 6.62/2.10 % (23304)Memory used [KB]: 5756
% 6.62/2.10 % (23304)Time elapsed: 0.026 s
% 6.62/2.10 % (23304)Instructions burned: 82 (million)
% 6.62/2.10 % (23304)------------------------------
% 6.62/2.10 % (23304)------------------------------
% 6.62/2.10 % (23302)Instruction limit reached!
% 6.62/2.10 % (23302)------------------------------
% 6.62/2.10 % (23302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.10 % (23302)Termination reason: Unknown
% 6.62/2.10 % (23302)Termination phase: Saturation
% 6.62/2.10
% 6.62/2.10 % (23302)Memory used [KB]: 6140
% 6.62/2.10 % (23302)Time elapsed: 0.056 s
% 6.62/2.10 % (23302)Instructions burned: 185 (million)
% 6.62/2.10 % (23302)------------------------------
% 6.62/2.10 % (23302)------------------------------
% 6.62/2.10 % (23301)Instruction limit reached!
% 6.62/2.10 % (23301)------------------------------
% 6.62/2.10 % (23301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.10 % (23301)Termination reason: Unknown
% 6.62/2.10 % (23301)Termination phase: Saturation
% 6.62/2.10
% 6.62/2.10 % (23301)Memory used [KB]: 6140
% 6.62/2.10 % (23301)Time elapsed: 0.057 s
% 6.62/2.10 % (23301)Instructions burned: 182 (million)
% 6.62/2.10 % (23301)------------------------------
% 6.62/2.10 % (23301)------------------------------
% 6.62/2.11 % (23306)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_23090 for (2992ds/114Mi)
% 6.62/2.11 % (23307)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_23090 for (2992ds/922Mi)
% 6.62/2.11 % (23308)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_23090 for (2992ds/182Mi)
% 7.09/2.12 % (23299)Instruction limit reached!
% 7.09/2.12 % (23299)------------------------------
% 7.09/2.12 % (23299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.09/2.12 % (23299)Termination reason: Unknown
% 7.09/2.12 % (23299)Termination phase: Saturation
% 7.09/2.12
% 7.09/2.12 % (23299)Memory used [KB]: 6524
% 7.09/2.12 % (23299)Time elapsed: 0.089 s
% 7.09/2.12 % (23299)Instructions burned: 300 (million)
% 7.09/2.12 % (23299)------------------------------
% 7.09/2.12 % (23299)------------------------------
% 7.09/2.13 % (23309)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_23090 for (2992ds/164Mi)
% 7.09/2.14 % (23305)Instruction limit reached!
% 7.09/2.14 % (23305)------------------------------
% 7.09/2.14 % (23305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.09/2.14 % (23305)Termination reason: Unknown
% 7.09/2.14 % (23305)Termination phase: Saturation
% 7.09/2.14
% 7.09/2.14 % (23305)Memory used [KB]: 6268
% 7.09/2.14 % (23305)Time elapsed: 0.065 s
% 7.09/2.14 % (23305)Instructions burned: 217 (million)
% 7.09/2.14 % (23305)------------------------------
% 7.09/2.14 % (23305)------------------------------
% 7.09/2.14 % (23306)Instruction limit reached!
% 7.09/2.14 % (23306)------------------------------
% 7.09/2.14 % (23306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.09/2.14 % (23306)Termination reason: Unknown
% 7.09/2.14 % (23306)Termination phase: Saturation
% 7.09/2.14
% 7.09/2.14 % (23306)Memory used [KB]: 6012
% 7.09/2.14 % (23306)Time elapsed: 0.037 s
% 7.09/2.14 % (23306)Instructions burned: 116 (million)
% 7.09/2.14 % (23306)------------------------------
% 7.09/2.14 % (23306)------------------------------
% 7.09/2.15 % (23297)Instruction limit reached!
% 7.09/2.15 % (23297)------------------------------
% 7.09/2.15 % (23297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.09/2.15 % (23297)Termination reason: Unknown
% 7.09/2.15 % (23297)Termination phase: Saturation
% 7.09/2.15
% 7.09/2.15 % (23297)Memory used [KB]: 6652
% 7.09/2.15 % (23297)Time elapsed: 0.141 s
% 7.09/2.15 % (23297)Instructions burned: 461 (million)
% 7.09/2.15 % (23297)------------------------------
% 7.09/2.15 % (23297)------------------------------
% 7.09/2.15 % (23310)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_23090 for (2991ds/50Mi)
% 7.09/2.15 % (23311)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_23090 for (2991ds/368Mi)
% 7.09/2.16 % (23312)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_23090 for (2991ds/1021Mi)
% 7.09/2.17 % (23310)Instruction limit reached!
% 7.09/2.17 % (23310)------------------------------
% 7.09/2.17 % (23310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.09/2.17 % (23310)Termination reason: Unknown
% 7.09/2.17 % (23310)Termination phase: Saturation
% 7.09/2.17
% 7.09/2.17 % (23310)Memory used [KB]: 10362
% 7.09/2.17 % (23310)Time elapsed: 0.038 s
% 7.09/2.17 % (23310)Instructions burned: 51 (million)
% 7.09/2.17 % (23310)------------------------------
% 7.09/2.17 % (23310)------------------------------
% 7.09/2.17 % (23308)Instruction limit reached!
% 7.09/2.17 % (23308)------------------------------
% 7.09/2.17 % (23308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.09/2.17 % (23308)Termination reason: Unknown
% 7.09/2.17 % (23308)Termination phase: Saturation
% 7.09/2.17
% 7.09/2.17 % (23308)Memory used [KB]: 6012
% 7.09/2.17 % (23308)Time elapsed: 0.056 s
% 7.09/2.17 % (23308)Instructions burned: 185 (million)
% 7.09/2.17 % (23308)------------------------------
% 7.09/2.17 % (23308)------------------------------
% 7.09/2.18 % (23313)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_23090 for (2991ds/267Mi)
% 7.09/2.18 % (23314)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_23090 for (2991ds/204Mi)
% 7.09/2.18 % (23309)Instruction limit reached!
% 7.09/2.18 % (23309)------------------------------
% 7.09/2.18 % (23309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.09/2.18 % (23309)Termination reason: Unknown
% 7.09/2.18 % (23309)Termination phase: Saturation
% 7.09/2.18
% 7.09/2.18 % (23309)Memory used [KB]: 1535
% 7.09/2.18 % (23309)Time elapsed: 0.051 s
% 7.09/2.18 % (23309)Instructions burned: 166 (million)
% 7.09/2.18 % (23309)------------------------------
% 7.09/2.18 % (23309)------------------------------
% 7.09/2.19 % (23315)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_23090 for (2991ds/26Mi)
% 7.49/2.20 % (23315)Instruction limit reached!
% 7.49/2.20 % (23315)------------------------------
% 7.49/2.20 % (23315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.20 % (23315)Termination reason: Unknown
% 7.49/2.20 % (23315)Termination phase: Saturation
% 7.49/2.20
% 7.49/2.20 % (23315)Memory used [KB]: 5756
% 7.49/2.20 % (23315)Time elapsed: 0.009 s
% 7.49/2.20 % (23315)Instructions burned: 28 (million)
% 7.49/2.20 % (23315)------------------------------
% 7.49/2.20 % (23315)------------------------------
% 7.49/2.21 % (23316)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_23090 for (2991ds/53Mi)
% 7.49/2.22 % (23316)Instruction limit reached!
% 7.49/2.22 % (23316)------------------------------
% 7.49/2.22 % (23316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.22 % (23316)Termination reason: Unknown
% 7.49/2.22 % (23316)Termination phase: Saturation
% 7.49/2.22
% 7.49/2.22 % (23316)Memory used [KB]: 5756
% 7.49/2.22 % (23316)Time elapsed: 0.017 s
% 7.49/2.22 % (23316)Instructions burned: 53 (million)
% 7.49/2.22 % (23316)------------------------------
% 7.49/2.22 % (23316)------------------------------
% 7.49/2.23 % (23317)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_23090 for (2990ds/4436Mi)
% 7.49/2.24 % (23314)Instruction limit reached!
% 7.49/2.24 % (23314)------------------------------
% 7.49/2.24 % (23314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.24 % (23314)Termination reason: Unknown
% 7.49/2.24 % (23314)Termination phase: Saturation
% 7.49/2.24
% 7.49/2.24 % (23314)Memory used [KB]: 6140
% 7.49/2.24 % (23314)Time elapsed: 0.064 s
% 7.49/2.24 % (23314)Instructions burned: 206 (million)
% 7.49/2.24 % (23314)------------------------------
% 7.49/2.24 % (23314)------------------------------
% 7.49/2.25 % (23318)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_23090 for (2990ds/1539Mi)
% 7.49/2.26 % (23313)Instruction limit reached!
% 7.49/2.26 % (23313)------------------------------
% 7.49/2.26 % (23313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.26 % (23313)Termination reason: Unknown
% 7.49/2.26 % (23313)Termination phase: Saturation
% 7.49/2.26
% 7.49/2.26 % (23313)Memory used [KB]: 6524
% 7.49/2.26 % (23313)Time elapsed: 0.081 s
% 7.49/2.26 % (23313)Instructions burned: 267 (million)
% 7.49/2.26 % (23313)------------------------------
% 7.49/2.26 % (23313)------------------------------
% 7.49/2.26 % (23311)Instruction limit reached!
% 7.49/2.26 % (23311)------------------------------
% 7.49/2.26 % (23311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.49/2.26 % (23311)Termination reason: Unknown
% 7.49/2.26 % (23311)Termination phase: Saturation
% 7.49/2.26
% 7.49/2.26 % (23311)Memory used [KB]: 6652
% 7.49/2.26 % (23311)Time elapsed: 0.128 s
% 7.49/2.26 % (23311)Instructions burned: 369 (million)
% 7.49/2.26 % (23311)------------------------------
% 7.49/2.26 % (23311)------------------------------
% 7.49/2.27 % (23319)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_23090 for (2990ds/408Mi)
% 7.49/2.27 % (23320)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_23090 for (2990ds/5205Mi)
% 7.81/2.33 % (23300)Instruction limit reached!
% 7.81/2.33 % (23300)------------------------------
% 7.81/2.33 % (23300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.81/2.33 % (23300)Termination reason: Unknown
% 7.81/2.33 % (23300)Termination phase: Saturation
% 7.81/2.33
% 7.81/2.33 % (23300)Memory used [KB]: 7547
% 7.81/2.33 % (23300)Time elapsed: 0.294 s
% 7.81/2.33 % (23300)Instructions burned: 988 (million)
% 7.81/2.33 % (23300)------------------------------
% 7.81/2.33 % (23300)------------------------------
% 7.81/2.34 % (23321)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_23090 for (2989ds/1913Mi)
% 7.81/2.37 % (23307)First to succeed.
% 7.81/2.37 % (23307)Refutation found. Thanks to Tanya!
% 7.81/2.37 % SZS status Theorem for DTF2THF_23090
% 7.81/2.37 % SZS output start Proof for DTF2THF_23090
% 7.81/2.37 thf(type_def_6, type, elem: $tType).
% 7.81/2.37 thf(type_def_7, type, nat: $tType).
% 7.81/2.37 thf(type_def_8, type, list: $tType).
% 7.81/2.37 thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 7.81/2.37 thf(func_def_2, type, elem: $tType).
% 7.81/2.37 thf(func_def_3, type, elemStar: elem > elem > $o).
% 7.81/2.37 thf(func_def_4, type, nat: $tType).
% 7.81/2.37 thf(func_def_5, type, natStar: nat > nat > $o).
% 7.81/2.37 thf(func_def_6, type, zero: nat).
% 7.81/2.37 thf(func_def_7, type, suc: nat > nat).
% 7.81/2.37 thf(func_def_8, type, plus: nat > nat > nat).
% 7.81/2.37 thf(func_def_9, type, list: $tType).
% 7.81/2.37 thf(func_def_10, type, listStar: nat > list > list > $o).
% 7.81/2.37 thf(func_def_11, type, nil: list).
% 7.81/2.37 thf(func_def_12, type, cons: nat > elem > list > list).
% 7.81/2.37 thf(func_def_13, type, app: nat > nat > list > list > list).
% 7.81/2.37 thf(func_def_14, type, rev: nat > list > list).
% 7.81/2.37 thf(func_def_17, type, sK0: (nat > $o) > nat).
% 7.81/2.37 thf(func_def_18, type, sK1: nat).
% 7.81/2.37 thf(func_def_19, type, sK2: list).
% 7.81/2.37 thf(func_def_20, type, sK3: elem).
% 7.81/2.37 thf(func_def_21, type, sK4: nat).
% 7.81/2.37 thf(func_def_22, type, sK5: list).
% 7.81/2.37 thf(func_def_25, type, ph7: !>[X0: $tType]:(X0)).
% 7.81/2.37 thf(f1554,plain,(
% 7.81/2.37 $false),
% 7.81/2.37 inference(avatar_sat_refutation,[status(thm)],[f106,f116,f121,f296,f1550])).
% 7.81/2.37 thf(f1550,plain,(
% 7.81/2.37 ~spl6_1 | ~spl6_3 | spl6_7),
% 7.81/2.37 inference(avatar_contradiction_clause,[status(thm)],[f1549])).
% 7.81/2.37 thf(f1549,plain,(
% 7.81/2.37 $false | (~spl6_1 | ~spl6_3 | spl6_7)),
% 7.81/2.37 inference(subsumption_resolution,[status(thm)],[f1548,f105])).
% 7.81/2.37 thf(f105,plain,(
% 7.81/2.37 ((listStar @ sK1 @ sK2 @ sK2) = $true) | ~spl6_1),
% 7.81/2.37 inference(avatar_component_clause,[status(thm)],[f103])).
% 7.81/2.37 thf(f103,definition,(
% 7.81/2.37 spl6_1 <=> ((listStar @ sK1 @ sK2 @ sK2) = $true)),
% 7.81/2.37 introduced(definition,[new_symbols(naming,[spl6_1])],[avatar_definition])).
% 7.81/2.37 thf(f1548,plain,(
% 7.81/2.37 ((listStar @ sK1 @ sK2 @ sK2) != $true) | (~spl6_3 | spl6_7)),
% 7.81/2.37 inference(subsumption_resolution,[status(thm)],[f1535,f115])).
% 7.81/2.37 thf(f115,plain,(
% 7.81/2.37 ((listStar @ sK4 @ sK5 @ sK5) = $true) | ~spl6_3),
% 7.81/2.37 inference(avatar_component_clause,[status(thm)],[f113])).
% 7.81/2.37 thf(f113,definition,(
% 7.81/2.37 spl6_3 <=> ((listStar @ sK4 @ sK5 @ sK5) = $true)),
% 7.81/2.37 introduced(definition,[new_symbols(naming,[spl6_3])],[avatar_definition])).
% 7.81/2.37 thf(f1535,plain,(
% 7.81/2.37 ((listStar @ sK4 @ sK5 @ sK5) != $true) | ((listStar @ sK1 @ sK2 @ sK2) != $true) | spl6_7),
% 7.81/2.37 inference(trivial_inequality_removal,[status(thm)],[f1534])).
% 7.81/2.37 thf(f1534,plain,(
% 7.81/2.37 ($true != $true) | ((listStar @ sK1 @ sK2 @ sK2) != $true) | ((listStar @ sK4 @ sK5 @ sK5) != $true) | spl6_7),
% 7.81/2.37 inference(superposition,[status(thm)],[f295,f444])).
% 7.81/2.37 thf(f444,plain,(
% 7.81/2.37 ( ! [X2 : list,X3 : elem,X0 : nat,X1 : nat,X4 : list] : (($true = (listStar @ (suc @ (plus @ X0 @ X0)) @ (app @ (suc @ X1) @ X0 @ (app @ X1 @ (suc @ zero) @ X2 @ (cons @ zero @ X3 @ nil)) @ X4) @ (app @ X1 @ (suc @ X0) @ X2 @ (cons @ X0 @ X3 @ X4)))) | ((listStar @ X0 @ X4 @ X4) != $true) | ((listStar @ X1 @ X2 @ X2) != $true)) )),
% 7.81/2.37 inference(trivial_inequality_removal,[status(thm)],[f443])).
% 7.81/2.37 thf(f443,plain,(
% 7.81/2.37 ( ! [X2 : list,X3 : elem,X0 : nat,X1 : nat,X4 : list] : (($true = (listStar @ (suc @ (plus @ X0 @ X0)) @ (app @ (suc @ X1) @ X0 @ (app @ X1 @ (suc @ zero) @ X2 @ (cons @ zero @ X3 @ nil)) @ X4) @ (app @ X1 @ (suc @ X0) @ X2 @ (cons @ X0 @ X3 @ X4)))) | ((listStar @ X1 @ X2 @ X2) != $true) | ((listStar @ X0 @ X4 @ X4) != $true) | ($true != $true)) )),
% 7.81/2.37 inference(duplicate_literal_removal,[status(thm)],[f442])).
% 7.81/2.37 thf(f442,plain,(
% 7.81/2.37 ( ! [X2 : list,X3 : elem,X0 : nat,X1 : nat,X4 : list] : (($true = (listStar @ (suc @ (plus @ X0 @ X0)) @ (app @ (suc @ X1) @ X0 @ (app @ X1 @ (suc @ zero) @ X2 @ (cons @ zero @ X3 @ nil)) @ X4) @ (app @ X1 @ (suc @ X0) @ X2 @ (cons @ X0 @ X3 @ X4)))) | ($true != $true) | ((listStar @ X1 @ X2 @ X2) != $true) | ((listStar @ X0 @ X4 @ X4) != $true) | ((listStar @ X1 @ X2 @ X2) != $true) | ((listStar @ X0 @ X4 @ X4) != $true)) )),
% 7.81/2.37 inference(superposition,[status(thm)],[f346,f372])).
% 7.81/2.37 thf(f372,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) = $true) | ((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ X3 @ X4 @ X4))) )),
% 7.81/2.37 inference(subsumption_resolution,[status(thm)],[f371,f300])).
% 7.81/2.37 thf(f300,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (($true = (listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4)))) | ($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f299,f97])).
% 7.81/2.37 thf(f97,plain,(
% 7.81/2.37 ( ! [X0 : nat] : (((plus @ X0 @ (suc @ zero)) = (suc @ X0))) )),
% 7.81/2.37 inference(cnf_transformation,[status(thm)],[f55])).
% 7.81/2.37 thf(f55,plain,(
% 7.81/2.37 ! [X0 : nat] : ((plus @ X0 @ (suc @ zero)) = (suc @ X0))),
% 7.81/2.37 inference(rectify,[status(thm)],[f17])).
% 7.81/2.37 thf(f17,axiom,(
% 7.81/2.37 ! [X6 : nat] : ((suc @ X6) = (plus @ X6 @ (suc @ zero)))),
% 7.81/2.37 file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',plus1r)).
% 7.81/2.37 thf(f299,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) = $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f298,f162])).
% 7.81/2.37 thf(f162,plain,(
% 7.81/2.37 ( ! [X0 : nat,X1 : nat] : (((plus @ X1 @ (suc @ X0)) = (suc @ (plus @ X0 @ X1)))) )),
% 7.81/2.37 inference(superposition,[status(thm)],[f82,f80])).
% 7.81/2.37 thf(f80,plain,(
% 7.81/2.37 ( ! [X0 : nat,X1 : nat] : (((plus @ X0 @ X1) = (plus @ X1 @ X0))) )),
% 7.81/2.37 inference(cnf_transformation,[status(thm)],[f59])).
% 7.81/2.37 thf(f59,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : nat] : ((plus @ X0 @ X1) = (plus @ X1 @ X0))),
% 7.81/2.37 inference(rectify,[status(thm)],[f15])).
% 7.81/2.37 thf(f15,axiom,(
% 7.81/2.37 ! [X6 : nat,X10 : nat] : ((plus @ X6 @ X10) = (plus @ X10 @ X6))),
% 7.81/2.37 file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',plus_com)).
% 7.81/2.37 thf(f82,plain,(
% 7.81/2.37 ( ! [X0 : nat,X1 : nat] : (((plus @ (suc @ X0) @ X1) = (suc @ (plus @ X0 @ X1)))) )),
% 7.81/2.37 inference(cnf_transformation,[status(thm)],[f56])).
% 7.81/2.37 thf(f56,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : nat] : ((plus @ (suc @ X0) @ X1) = (suc @ (plus @ X0 @ X1)))),
% 7.81/2.37 inference(rectify,[status(thm)],[f13])).
% 7.81/2.37 thf(f13,axiom,(
% 7.81/2.37 ! [X6 : nat,X10 : nat] : ((plus @ (suc @ X6) @ X10) = (suc @ (plus @ X6 @ X10)))),
% 7.81/2.37 file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',ax2)).
% 7.81/2.37 thf(f298,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ($true = (listStar @ (plus @ X3 @ (suc @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4)))) | ($true != (listStar @ X3 @ X4 @ X4))) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f297,f97])).
% 7.81/2.37 thf(f297,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (($true = (listStar @ (plus @ X3 @ (plus @ X3 @ (suc @ zero))) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4)))) | ((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ X3 @ X4 @ X4))) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f83,f80])).
% 7.81/2.37 thf(f83,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) = $true) | ($true != (listStar @ X3 @ X4 @ X4))) )),
% 7.81/2.37 inference(cnf_transformation,[status(thm)],[f71])).
% 7.81/2.37 thf(f71,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) = $true))),
% 7.81/2.37 inference(flattening,[status(thm)],[f70])).
% 7.81/2.37 thf(f70,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : ((((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) = $true) | ($true != (listStar @ X3 @ X4 @ X4))) | ((listStar @ X0 @ X1 @ X1) != $true))),
% 7.81/2.37 inference(ennf_transformation,[status(thm)],[f46])).
% 7.81/2.37 thf(f46,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (((listStar @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ X3 @ X4 @ X4)) => ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) = $true)))),
% 7.81/2.37 inference(fool_elimination,[status(thm)],[f45])).
% 7.81/2.37 thf(f45,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : ((listStar @ X0 @ X1 @ X1) => ((listStar @ X3 @ X4 @ X4) => (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4)))))),
% 7.81/2.37 inference(rectify,[status(thm)],[f19])).
% 7.81/2.37 thf(f19,axiom,(
% 7.81/2.37 ! [X10 : nat,X16 : list,X2 : elem,X15 : nat,X17 : list] : ((listStar @ X10 @ X16 @ X16) => ((listStar @ X15 @ X17 @ X17) => (listStar @ (plus @ (plus @ X15 @ (suc @ zero)) @ X15) @ (app @ (plus @ X10 @ (suc @ zero)) @ X15 @ (app @ X10 @ (suc @ zero) @ X16 @ (cons @ zero @ X2 @ nil)) @ X17) @ (app @ X10 @ (suc @ X15) @ X16 @ (app @ (suc @ zero) @ X15 @ (cons @ zero @ X2 @ nil) @ X17)))))),
% 7.81/2.37 file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',list_app_assoc_m1_step2)).
% 7.81/2.37 thf(f371,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) = $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ($true != (listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))))) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f370,f97])).
% 7.81/2.37 thf(f370,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) != $true) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) = $true) | ($true != (listStar @ X3 @ X4 @ X4))) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f369,f162])).
% 7.81/2.37 thf(f369,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ (plus @ X3 @ (suc @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4)))) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) = $true) | ($true != (listStar @ X3 @ X4 @ X4))) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f368,f97])).
% 7.81/2.37 thf(f368,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) = $true) | ($true != (listStar @ (plus @ X3 @ (plus @ X3 @ (suc @ zero))) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4)))) | ($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f367,f97])).
% 7.81/2.37 thf(f367,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) = $true) | ($true != (listStar @ (plus @ X3 @ (plus @ X3 @ (suc @ zero))) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4)))) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f366,f162])).
% 7.81/2.37 thf(f366,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ (plus @ X3 @ (suc @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) = $true) | ($true != (listStar @ (plus @ X3 @ (plus @ X3 @ (suc @ zero))) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4)))) | ($true != (listStar @ X3 @ X4 @ X4))) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f365,f97])).
% 7.81/2.37 thf(f365,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ (plus @ X3 @ (plus @ X3 @ (suc @ zero))) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) = $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ($true != (listStar @ (plus @ X3 @ (plus @ X3 @ (suc @ zero))) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4)))) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f364,f80])).
% 7.81/2.37 thf(f364,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) != $true) | ((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ (plus @ X3 @ (plus @ X3 @ (suc @ zero))) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) = $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f86,f80])).
% 7.81/2.37 thf(f86,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (($true = (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4))))) | ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) != $true) | ((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ X3 @ X4 @ X4))) )),
% 7.81/2.37 inference(cnf_transformation,[status(thm)],[f65])).
% 7.81/2.37 thf(f65,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (($true = (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4))))) | ((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) != $true))),
% 7.81/2.37 inference(flattening,[status(thm)],[f64])).
% 7.81/2.37 thf(f64,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (((($true = (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4))))) | ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) != $true)) | ($true != (listStar @ X3 @ X4 @ X4))) | ((listStar @ X0 @ X1 @ X1) != $true))),
% 7.81/2.37 inference(ennf_transformation,[status(thm)],[f34])).
% 7.81/2.37 thf(f34,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (((listStar @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ X3 @ X4 @ X4)) => (((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) = $true) => ($true = (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4))))))))),
% 7.81/2.37 inference(fool_elimination,[status(thm)],[f33])).
% 7.81/2.37 thf(f33,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : ((listStar @ X0 @ X1 @ X1) => ((listStar @ X3 @ X4 @ X4) => ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (app @ (suc @ zero) @ X3 @ (cons @ zero @ X2 @ nil) @ X4))) => (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))))))),
% 7.81/2.37 inference(rectify,[status(thm)],[f20])).
% 7.81/2.37 thf(f20,axiom,(
% 7.81/2.37 ! [X10 : nat,X16 : list,X2 : elem,X15 : nat,X17 : list] : ((listStar @ X10 @ X16 @ X16) => ((listStar @ X15 @ X17 @ X17) => ((listStar @ (plus @ (plus @ X15 @ (suc @ zero)) @ X15) @ (app @ (plus @ X10 @ (suc @ zero)) @ X15 @ (app @ X10 @ (suc @ zero) @ X16 @ (cons @ zero @ X2 @ nil)) @ X17) @ (app @ X10 @ (suc @ X15) @ X16 @ (app @ (suc @ zero) @ X15 @ (cons @ zero @ X2 @ nil) @ X17))) => (listStar @ (plus @ (plus @ X15 @ (suc @ zero)) @ X15) @ (app @ (plus @ X10 @ (suc @ zero)) @ X15 @ (app @ X10 @ (suc @ zero) @ X16 @ (cons @ zero @ X2 @ nil)) @ X17) @ (app @ X10 @ (suc @ X15) @ X16 @ (cons @ X15 @ X2 @ (app @ zero @ X15 @ nil @ X17)))))))),
% 7.81/2.37 file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',list_app_assoc_m1_step3)).
% 7.81/2.37 thf(f346,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) != $true) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f345,f97])).
% 7.81/2.37 thf(f345,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) != $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f344,f162])).
% 7.81/2.37 thf(f344,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ (plus @ X3 @ (suc @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) != $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f343,f97])).
% 7.81/2.37 thf(f343,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ (plus @ X3 @ (plus @ X3 @ (suc @ zero))) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) != $true) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f342,f80])).
% 7.81/2.37 thf(f342,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (($true != (listStar @ X3 @ X4 @ X4)) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (suc @ X0) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true) | ($true != (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4))))) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f341,f97])).
% 7.81/2.37 thf(f341,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ (suc @ (plus @ X3 @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ($true != (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))))) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f340,f162])).
% 7.81/2.37 thf(f340,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ($true = (listStar @ (plus @ X3 @ (suc @ X3)) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4)))) | ($true != (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))))) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f339,f97])).
% 7.81/2.37 thf(f339,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ($true = (listStar @ (plus @ X3 @ (plus @ X3 @ (suc @ zero))) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4)))) | ($true != (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))))) )),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f84,f80])).
% 7.81/2.37 thf(f84,plain,(
% 7.81/2.37 ( ! [X2 : elem,X3 : nat,X0 : nat,X1 : list,X4 : list] : (((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ($true != (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4))))) | ((listStar @ X0 @ X1 @ X1) != $true)) )),
% 7.81/2.37 inference(cnf_transformation,[status(thm)],[f69])).
% 7.81/2.37 thf(f69,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (((listStar @ X0 @ X1 @ X1) != $true) | ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true) | ($true != (listStar @ X3 @ X4 @ X4)) | ($true != (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4))))))),
% 7.81/2.37 inference(flattening,[status(thm)],[f68])).
% 7.81/2.37 thf(f68,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (((((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true) | ($true != (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))))) | ($true != (listStar @ X3 @ X4 @ X4))) | ((listStar @ X0 @ X1 @ X1) != $true))),
% 7.81/2.37 inference(ennf_transformation,[status(thm)],[f30])).
% 7.81/2.37 thf(f30,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (((listStar @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ X3 @ X4 @ X4)) => (($true = (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4))))) => ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true))))),
% 7.81/2.37 inference(fool_elimination,[status(thm)],[f29])).
% 7.81/2.37 thf(f29,plain,(
% 7.81/2.37 ! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : ((listStar @ X0 @ X1 @ X1) => ((listStar @ X3 @ X4 @ X4) => ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ (app @ zero @ X3 @ nil @ X4)))) => (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))))))),
% 7.81/2.37 inference(rectify,[status(thm)],[f21])).
% 7.81/2.37 thf(f21,axiom,(
% 7.81/2.37 ! [X10 : nat,X16 : list,X2 : elem,X15 : nat,X17 : list] : ((listStar @ X10 @ X16 @ X16) => ((listStar @ X15 @ X17 @ X17) => ((listStar @ (plus @ (plus @ X15 @ (suc @ zero)) @ X15) @ (app @ (plus @ X10 @ (suc @ zero)) @ X15 @ (app @ X10 @ (suc @ zero) @ X16 @ (cons @ zero @ X2 @ nil)) @ X17) @ (app @ X10 @ (suc @ X15) @ X16 @ (cons @ X15 @ X2 @ (app @ zero @ X15 @ nil @ X17)))) => (listStar @ (plus @ (plus @ X15 @ (suc @ zero)) @ X15) @ (app @ (plus @ X10 @ (suc @ zero)) @ X15 @ (app @ X10 @ (suc @ zero) @ X16 @ (cons @ zero @ X2 @ nil)) @ X17) @ (app @ X10 @ (suc @ X15) @ X16 @ (cons @ X15 @ X2 @ X17))))))),
% 7.81/2.37 file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',list_app_assoc_m1_step4)).
% 7.81/2.37 thf(f295,plain,(
% 7.81/2.37 ((listStar @ (suc @ (plus @ sK4 @ sK4)) @ (app @ (suc @ sK1) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5))) != $true) | spl6_7),
% 7.81/2.37 inference(avatar_component_clause,[status(thm)],[f293])).
% 7.81/2.37 thf(f293,definition,(
% 7.81/2.37 spl6_7 <=> ((listStar @ (suc @ (plus @ sK4 @ sK4)) @ (app @ (suc @ sK1) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5))) = $true)),
% 7.81/2.37 introduced(definition,[new_symbols(naming,[spl6_7])],[avatar_definition])).
% 7.81/2.37 thf(f296,plain,(
% 7.81/2.37 ~spl6_7 | spl6_4),
% 7.81/2.37 inference(avatar_split_clause,[status(thm)],[f291,f118,f293])).
% 7.81/2.37 thf(f118,definition,(
% 7.81/2.37 spl6_4 <=> ((listStar @ (plus @ (plus @ sK4 @ (suc @ zero)) @ sK4) @ (app @ (plus @ sK1 @ (suc @ zero)) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5))) = $true)),
% 7.81/2.37 introduced(definition,[new_symbols(naming,[spl6_4])],[avatar_definition])).
% 7.81/2.37 thf(f291,plain,(
% 7.81/2.37 ((listStar @ (suc @ (plus @ sK4 @ sK4)) @ (app @ (suc @ sK1) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5))) != $true) | spl6_4),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f290,f97])).
% 7.81/2.37 thf(f290,plain,(
% 7.81/2.37 ($true != (listStar @ (suc @ (plus @ sK4 @ sK4)) @ (app @ (plus @ sK1 @ (suc @ zero)) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5)))) | spl6_4),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f289,f162])).
% 7.81/2.37 thf(f289,plain,(
% 7.81/2.37 ($true != (listStar @ (plus @ sK4 @ (suc @ sK4)) @ (app @ (plus @ sK1 @ (suc @ zero)) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5)))) | spl6_4),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f288,f97])).
% 7.81/2.37 thf(f288,plain,(
% 7.81/2.37 ((listStar @ (plus @ sK4 @ (plus @ sK4 @ (suc @ zero))) @ (app @ (plus @ sK1 @ (suc @ zero)) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5))) != $true) | spl6_4),
% 7.81/2.37 inference(forward_demodulation,[status(thm)],[f120,f80])).
% 7.81/2.37 thf(f120,plain,(
% 7.81/2.37 ((listStar @ (plus @ (plus @ sK4 @ (suc @ zero)) @ sK4) @ (app @ (plus @ sK1 @ (suc @ zero)) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5))) != $true) | spl6_4),
% 7.81/2.37 inference(avatar_component_clause,[status(thm)],[f118])).
% 7.81/2.37 thf(f121,plain,(
% 7.81/2.37 ~spl6_4),
% 7.81/2.37 inference(avatar_split_clause,[status(thm)],[f90,f118])).
% 7.81/2.37 thf(f90,plain,(
% 7.81/2.37 ((listStar @ (plus @ (plus @ sK4 @ (suc @ zero)) @ sK4) @ (app @ (plus @ sK1 @ (suc @ zero)) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5))) != $true)),
% 7.81/2.37 inference(cnf_transformation,[status(thm)],[f77])).
% 7.81/2.37 thf(f77,plain,(
% 7.81/2.37 ((listStar @ sK4 @ sK5 @ sK5) = $true) & ((listStar @ (plus @ (plus @ sK4 @ (suc @ zero)) @ sK4) @ (app @ (plus @ sK1 @ (suc @ zero)) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5))) != $true) & ((listStar @ sK1 @ sK2 @ sK2) = $true)),
% 7.81/2.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f61,f76])).
% 7.81/2.37 thf(f76,plain,(
% 7.81/2.37 ? [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (($true = (listStar @ X3 @ X4 @ X4)) & ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) != $true) & ((listStar @ X0 @ X1 @ X1) = $true)) => (((listStar @ sK4 @ sK5 @ sK5) = $true) & ((listStar @ (plus @ (plus @ sK4 @ (suc @ zero)) @ sK4) @ (app @ (plus @ sK1 @ (suc @ zero)) @ sK4 @ (app @ sK1 @ (suc @ zero) @ sK2 @ (cons @ zero @ sK3 @ nil)) @ sK5) @ (app @ sK1 @ (suc @ sK4) @ sK2 @ (cons @ sK4 @ sK3 @ sK5))) != $true) & ((listStar @ sK1 @ sK2 @ sK2) = $true))),
% 7.81/2.37 introduced(definition,[],[choice_axiom])).
% 7.81/2.37 thf(f61,plain,(
% 7.81/2.37 ? [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (($true = (listStar @ X3 @ X4 @ X4)) & ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) != $true) & ((listStar @ X0 @ X1 @ X1) = $true))),
% 7.81/2.37 inference(flattening,[status(thm)],[f60])).
% 7.81/2.37 thf(f60,plain,(
% 7.81/2.37 ? [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : ((((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) != $true) & ($true = (listStar @ X3 @ X4 @ X4))) & ((listStar @ X0 @ X1 @ X1) = $true))),
% 7.81/2.37 inference(ennf_transformation,[status(thm)],[f26])).
% 7.81/2.37 thf(f26,plain,(
% 7.81/2.37 ~! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : (((listStar @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ X3 @ X4 @ X4)) => ((listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4))) = $true)))),
% 7.81/2.37 inference(fool_elimination,[status(thm)],[f25])).
% 7.81/2.37 thf(f25,plain,(
% 7.81/2.37 ~! [X0 : nat,X1 : list,X2 : elem,X3 : nat,X4 : list] : ((listStar @ X0 @ X1 @ X1) => ((listStar @ X3 @ X4 @ X4) => (listStar @ (plus @ (plus @ X3 @ (suc @ zero)) @ X3) @ (app @ (plus @ X0 @ (suc @ zero)) @ X3 @ (app @ X0 @ (suc @ zero) @ X1 @ (cons @ zero @ X2 @ nil)) @ X4) @ (app @ X0 @ (suc @ X3) @ X1 @ (cons @ X3 @ X2 @ X4)))))),
% 7.81/2.37 inference(rectify,[status(thm)],[f23])).
% 7.81/2.37 thf(f23,negated_conjecture,(
% 7.81/2.37 ~! [X10 : nat,X16 : list,X2 : elem,X15 : nat,X17 : list] : ((listStar @ X10 @ X16 @ X16) => ((listStar @ X15 @ X17 @ X17) => (listStar @ (plus @ (plus @ X15 @ (suc @ zero)) @ X15) @ (app @ (plus @ X10 @ (suc @ zero)) @ X15 @ (app @ X10 @ (suc @ zero) @ X16 @ (cons @ zero @ X2 @ nil)) @ X17) @ (app @ X10 @ (suc @ X15) @ X16 @ (cons @ X15 @ X2 @ X17)))))),
% 7.81/2.37 inference(negated_conjecture,[status(cth)],[f22])).
% 7.81/2.37 thf(f22,conjecture,(
% 7.81/2.37 ! [X10 : nat,X16 : list,X2 : elem,X15 : nat,X17 : list] : ((listStar @ X10 @ X16 @ X16) => ((listStar @ X15 @ X17 @ X17) => (listStar @ (plus @ (plus @ X15 @ (suc @ zero)) @ X15) @ (app @ (plus @ X10 @ (suc @ zero)) @ X15 @ (app @ X10 @ (suc @ zero) @ X16 @ (cons @ zero @ X2 @ nil)) @ X17) @ (app @ X10 @ (suc @ X15) @ X16 @ (cons @ X15 @ X2 @ X17)))))),
% 7.81/2.37 file('/export/starexec/sandbox2/tmp/tmp.e9dHglj753/DTF2THF_23090.p',list_app_assoc_m1)).
% 7.81/2.37 thf(f116,plain,(
% 7.81/2.37 spl6_3),
% 7.81/2.37 inference(avatar_split_clause,[status(thm)],[f91,f113])).
% 7.81/2.37 thf(f91,plain,(
% 7.81/2.37 ((listStar @ sK4 @ sK5 @ sK5) = $true)),
% 7.81/2.37 inference(cnf_transformation,[status(thm)],[f77])).
% 7.81/2.37 thf(f106,plain,(
% 7.81/2.37 spl6_1),
% 7.81/2.37 inference(avatar_split_clause,[status(thm)],[f89,f103])).
% 7.81/2.37 thf(f89,plain,(
% 7.81/2.37 ((listStar @ sK1 @ sK2 @ sK2) = $true)),
% 7.81/2.37 inference(cnf_transformation,[status(thm)],[f77])).
% 7.81/2.37 % SZS output end Proof for DTF2THF_23090
% 7.81/2.37 % (23307)------------------------------
% 7.81/2.37 % (23307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.81/2.37 % (23307)Termination reason: Refutation
% 7.81/2.37
% 7.81/2.37 % (23307)Memory used [KB]: 7036
% 7.81/2.37 % (23307)Time elapsed: 0.259 s
% 7.81/2.37 % (23307)Instructions burned: 860 (million)
% 7.81/2.37 % (23307)------------------------------
% 7.81/2.37 % (23307)------------------------------
% 7.81/2.37 % (23204)Success in time 1.05 s
%------------------------------------------------------------------------------