%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP233^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:07:19 AM UTC 2026
% Result : Theorem 13.25s 4.73s
% Output : Refutation 13.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 26
% Syntax : Number of formulae : 54 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 26 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 590 ( 18 ~; 0 |; 0 &; 552 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 10 ( 9 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 9 con; 0-4 aty)
% Number of variables : 79 ( 6 ^; 64 !; 9 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(product_unit_type,type,
product_unit: $tType ).
thf(extended_enat_type,type,
extended_enat: $tType ).
thf(complex_type,type,
complex: $tType ).
thf(char_type,type,
char: $tType ).
thf(real_type,type,
real: $tType ).
thf(num_type,type,
num: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(int_type,type,
int: $tType ).
thf(size_decl,type,
size:
!>[TA: $tType] : $o ).
thf(if_decl,type,
if:
!>[TA: $tType] : ( $o > TA > TA > TA ) ).
thf(set2_decl,type,
set2:
!>[TA: $tType] : ( ( list @ TA ) > ( set @ TA ) ) ).
thf(list_update_decl,type,
list_update:
!>[TA: $tType] : ( ( list @ TA ) > nat > TA > ( list @ TA ) ) ).
thf(nth_decl,type,
nth:
!>[TA: $tType] : ( ( list @ TA ) > nat > TA ) ).
thf(vEBT_V8194947554948674370ptions_decl,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(vEBT_VEBT_high_decl,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(vEBT_V5917875025757280293ildren_decl,type,
vEBT_V5917875025757280293ildren: nat > ( list @ vEBT_VEBT ) > nat > $o ).
thf(vEBT_VEBT_low_decl,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(vEBT_invar_vebt_decl,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(vEBT_vebt_insert_decl,type,
vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).
thf(vEBT_VEBT_bit_concat_decl,type,
vEBT_VEBT_bit_concat: nat > nat > nat > nat ).
thf(vEBT_VEBT_minNull_decl,type,
vEBT_VEBT_minNull: vEBT_VEBT > $o ).
thf(vEBT_vebt_member_decl,type,
vEBT_vebt_member: vEBT_VEBT > nat > $o ).
thf(member2_decl,type,
member2:
!>[TA: $tType] : ( TA > ( set @ TA ) > $o ) ).
thf(i_decl,type,
i: nat ).
thf(m_decl,type,
m: nat ).
thf(na_decl,type,
na: nat ).
thf(summary_decl,type,
summary: vEBT_VEBT ).
thf(treeList_decl,type,
treeList: list @ vEBT_VEBT ).
thf(xa_decl,type,
xa: nat ).
thf(13,axiom,
! [A: vEBT_VEBT] :
( ~ ( vEBT_VEBT_minNull @ A )
=> ? [B: nat] : ( vEBT_V8194947554948674370ptions @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_not__min__Null__member) ).
thf(56,plain,
! [A: vEBT_VEBT] :
( ~ ( vEBT_VEBT_minNull @ A )
=> ? [B: nat] : ( vEBT_V8194947554948674370ptions @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(16,axiom,
~ ( vEBT_V8194947554948674370ptions @ summary @ i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12__C163_C) ).
thf(60,plain,
~ ( vEBT_V8194947554948674370ptions @ summary @ i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(18,axiom,
! [A: vEBT_VEBT] :
( ( member2 @ vEBT_VEBT @ A @ ( set2 @ vEBT_VEBT @ ( list_update @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) ) )
=> ( vEBT_invar_vebt @ A @ na ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16__C11_C) ).
thf(65,plain,
! [A: vEBT_VEBT] :
( ( member2 @ vEBT_VEBT @ A @ ( set2 @ vEBT_VEBT @ ( list_update @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) ) )
=> ( vEBT_invar_vebt @ A @ na ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(12,axiom,
! [TA: $tType,A: nat,B: nat,C: list @ TA,D: TA,E: TA] :
( ( A != B )
=> ( ( list_update @ TA @ ( list_update @ TA @ C @ A @ D ) @ B @ E )
= ( list_update @ TA @ ( list_update @ TA @ C @ B @ E ) @ A @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_list__update__swap) ).
thf(53,plain,
! [TA: $tType,A: nat,B: nat,C: list @ TA,D: TA,E: TA] :
( ( A != B )
=> ( ( list_update @ TA @ ( list_update @ TA @ C @ A @ D ) @ B @ E )
= ( list_update @ TA @ ( list_update @ TA @ C @ B @ E ) @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(22,axiom,
( ~ ( vEBT_VEBT_minNull @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) )
=> ( summary
= ( vEBT_vebt_insert @ summary @ ( vEBT_VEBT_high @ xa @ na ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_nsprop) ).
thf(73,plain,
( ~ ( vEBT_VEBT_minNull @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) )
=> ( summary
= ( vEBT_vebt_insert @ summary @ ( vEBT_VEBT_high @ xa @ na ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(4,axiom,
vEBT_invar_vebt @ summary @ m,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26__C1_C) ).
thf(32,plain,
vEBT_invar_vebt @ summary @ m,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,axiom,
size @ vEBT_VEBT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tcon_VEBT__Definitions_OVEBT___Nat_Osize_453) ).
thf(59,plain,
size @ vEBT_VEBT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(21,axiom,
( i
= ( vEBT_VEBT_high @ xa @ na ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_True) ).
thf(71,plain,
( i
= ( vEBT_VEBT_high @ xa @ na ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(23,axiom,
( ( nth @ vEBT_VEBT @ ( list_update @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i )
= ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__C164_C) ).
thf(76,plain,
( ( nth @ vEBT_VEBT @ ( list_update @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i )
= ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(25,axiom,
( ( nth @ vEBT_VEBT @ ( list_update @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ ( vEBT_VEBT_high @ xa @ na ) )
= ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_insprop) ).
thf(80,plain,
( ( nth @ vEBT_VEBT @ ( list_update @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ ( vEBT_VEBT_high @ xa @ na ) )
= ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(8,axiom,
! [TA: $tType,A: nat,B: nat,C: list @ TA,D: TA] :
( ( A != B )
=> ( ( nth @ TA @ ( list_update @ TA @ C @ A @ D ) @ B )
= ( nth @ TA @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_nth__list__update__neq) ).
thf(43,plain,
! [TA: $tType,A: nat,B: nat,C: list @ TA,D: TA] :
( ( A != B )
=> ( ( nth @ TA @ ( list_update @ TA @ C @ A @ D ) @ B )
= ( nth @ TA @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,axiom,
! [A: vEBT_VEBT,B: nat,C: nat] :
( ( vEBT_invar_vebt @ A @ B )
=> ( ( vEBT_V8194947554948674370ptions @ A @ C )
=> ( vEBT_vebt_member @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_valid__member__both__member__options) ).
thf(40,plain,
! [A: vEBT_VEBT,B: nat,C: nat] :
( ( vEBT_invar_vebt @ A @ B )
=> ( ( vEBT_V8194947554948674370ptions @ A @ C )
=> ( vEBT_vebt_member @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(27,axiom,
! [A: nat,B: nat] :
( ( vEBT_VEBT_bit_concat @ ( vEBT_VEBT_high @ A @ B ) @ ( vEBT_VEBT_low @ A @ B ) @ B )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_bit__split__inv) ).
thf(83,plain,
! [A: nat,B: nat] :
( ( vEBT_VEBT_bit_concat @ ( vEBT_VEBT_high @ A @ B ) @ ( vEBT_VEBT_low @ A @ B ) @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(9,axiom,
vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__C166_C) ).
thf(46,plain,
vEBT_V8194947554948674370ptions @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(24,axiom,
( vEBT_V5917875025757280293ildren
= ( ^ [A: nat,B: list @ vEBT_VEBT,C: nat] : ( vEBT_V8194947554948674370ptions @ ( nth @ vEBT_VEBT @ B @ ( vEBT_VEBT_high @ C @ A ) ) @ ( vEBT_VEBT_low @ C @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_in__children__def) ).
thf(78,plain,
( vEBT_V5917875025757280293ildren
= ( ^ [A: nat,B: list @ vEBT_VEBT,C: nat] : ( vEBT_V8194947554948674370ptions @ ( nth @ vEBT_VEBT @ B @ ( vEBT_VEBT_high @ C @ A ) ) @ ( vEBT_VEBT_low @ C @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(1,conjecture,
? [A: nat] : ( vEBT_V8194947554948674370ptions @ ( nth @ vEBT_VEBT @ ( list_update @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ? [A: nat] : ( vEBT_V8194947554948674370ptions @ ( nth @ vEBT_VEBT @ ( list_update @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(28,plain,
~ ? [A: nat] : ( vEBT_V8194947554948674370ptions @ ( nth @ vEBT_VEBT @ ( list_update @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) ) @ i ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: vEBT_VEBT,B: nat] :
( ( vEBT_VEBT_minNull @ A )
=> ~ ( vEBT_vebt_member @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_min__Null__member) ).
thf(33,plain,
! [A: vEBT_VEBT,B: nat] :
( ( vEBT_VEBT_minNull @ A )
=> ~ ( vEBT_vebt_member @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,axiom,
! [TA: $tType,A: list @ TA,B: nat] :
( ( list_update @ TA @ A @ B @ ( nth @ TA @ A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_list__update__id) ).
thf(50,plain,
! [TA: $tType,A: list @ TA,B: nat] :
( ( list_update @ TA @ A @ B @ ( nth @ TA @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,axiom,
vEBT_invar_vebt @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ na,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9__C165_C) ).
thf(67,plain,
vEBT_invar_vebt @ ( vEBT_vebt_insert @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( vEBT_VEBT_low @ xa @ na ) ) @ na,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(14,axiom,
vEBT_invar_vebt @ ( if @ vEBT_VEBT @ ( vEBT_VEBT_minNull @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) ) @ ( vEBT_vebt_insert @ summary @ ( vEBT_VEBT_high @ xa @ na ) ) @ summary ) @ m,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29__C12_C) ).
thf(58,plain,
vEBT_invar_vebt @ ( if @ vEBT_VEBT @ ( vEBT_VEBT_minNull @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) ) @ ( vEBT_vebt_insert @ summary @ ( vEBT_VEBT_high @ xa @ na ) ) @ summary ) @ m,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(26,axiom,
vEBT_VEBT_minNull @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_tc) ).
thf(82,plain,
vEBT_VEBT_minNull @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(6,axiom,
! [A: vEBT_VEBT,B: nat,C: nat] :
( ( vEBT_invar_vebt @ A @ B )
=> ( ( vEBT_V8194947554948674370ptions @ A @ C )
= ( vEBT_vebt_member @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_both__member__options__equiv__member) ).
thf(36,plain,
! [A: vEBT_VEBT,B: nat,C: nat] :
( ( vEBT_invar_vebt @ A @ B )
=> ( ( vEBT_V8194947554948674370ptions @ A @ C )
= ( vEBT_vebt_member @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: vEBT_VEBT] :
( ( member2 @ vEBT_VEBT @ A @ ( set2 @ vEBT_VEBT @ treeList ) )
=> ( vEBT_invar_vebt @ A @ na ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24__C0_C) ).
thf(30,plain,
! [A: vEBT_VEBT] :
( ( member2 @ vEBT_VEBT @ A @ ( set2 @ vEBT_VEBT @ treeList ) )
=> ( vEBT_invar_vebt @ A @ na ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,axiom,
~ ? [A: nat] : ( vEBT_V8194947554948674370ptions @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__C162_C) ).
thf(47,plain,
~ ? [A: nat] : ( vEBT_V8194947554948674370ptions @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(20,axiom,
! [TA: $tType,A: list @ TA,B: nat,C: TA,D: TA] :
( ( list_update @ TA @ ( list_update @ TA @ A @ B @ C ) @ B @ D )
= ( list_update @ TA @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_list__update__overwrite) ).
thf(68,plain,
! [TA: $tType,A: list @ TA,B: nat,C: TA,D: TA] :
( ( list_update @ TA @ ( list_update @ TA @ A @ B @ C ) @ B @ D )
= ( list_update @ TA @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(17,axiom,
~ ? [A: nat] : ( vEBT_vebt_member @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__C161_C) ).
thf(62,plain,
~ ? [A: nat] : ( vEBT_vebt_member @ ( nth @ vEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(86,plain,
$false,
inference(e,[status(thm)],[56,60,65,53,73,32,59,71,76,80,43,40,83,46,78,28,33,50,67,58,82,36,30,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP233^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.09 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.09/0.23 % Computer : n003.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 20:26:59 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.03/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 6.06/2.41 % [INFO] Parsing done (1583ms).
% 6.06/2.43 % [INFO] Running in sequential loop mode.
% 6.79/2.81 % [INFO] eprover registered as external prover.
% 6.79/2.82 % [INFO] Scanning for conjecture ...
% 8.70/3.44 % [INFO] Found a conjecture (or negated_conjecture) and 8814 axioms. Running axiom selection ...
% 9.80/3.74 % [INFO] Axiom selection finished. Selected 25 axioms (removed 8789 axioms).
% 9.80/3.78 % [INFO] Problem is higher-order (TPTP THF).
% 9.80/3.79 % [INFO] Type checking passed.
% 9.80/3.79 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 13.25/4.72 % External prover 'e' found a proof!
% 13.25/4.72 % [INFO] Killing All external provers ...
% 13.25/4.72 % Time passed: 4342ms (effective reasoning time: 2286ms)
% 13.25/4.72 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 13.25/4.73 % Axioms used in derivation (25): tcon_VEBT__Definitions_OVEBT___Nat_Osize_453, fact_14_not__min__Null__member, fact_15_nsprop, fact_1__C166_C, fact_6_tc, fact_7_in__children__def, fact_20_valid__member__both__member__options, fact_5_insprop, fact_16__C11_C, fact_26__C1_C, fact_17_list__update__swap, fact_13_list__update__overwrite, fact_3__C164_C, fact_29__C12_C, fact_10_list__update__id, fact_19_min__Null__member, fact_21_both__member__options__equiv__member, fact_2_bit__split__inv, fact_4__C162_C, fact_24__C0_C, fact_11_nth__list__update__neq, fact_9__C165_C, fact_12__C163_C, fact_0_True, fact_8__C161_C
% 13.25/4.73 % No. of inferences in proof: 54
% 13.25/4.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4342 ms resp. 2286 ms w/o parsing
% 13.71/4.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.71/4.81 % [INFO] Killing All external provers ...
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