%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP262_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8GHGRGosX8 true
% Computer : n024.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 : Thu Oct 2 04:39:38 PM UTC 2025
% Result : Theorem 25.47s 4.24s
% Output : Refutation 25.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 26 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 303 ( 17 ~; 8 |; 1 &; 274 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 18 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 17 !; 3 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(fun_nat_bool_type,type,
fun_nat_bool: $tType ).
thf(fun_nat_fun_nat_bool_type,type,
fun_nat_fun_nat_bool: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(fun_nat_nat_type,type,
fun_nat_nat: $tType ).
thf(fun_nat_fun_nat_nat_type,type,
fun_nat_fun_nat_nat: $tType ).
thf(fun_num_nat_type,type,
fun_num_nat: $tType ).
thf(num_type,type,
num: $tType ).
thf(fun_num_num_type,type,
fun_num_num: $tType ).
thf(fun_VE3763956218935105199t_bool_type,type,
fun_VE3763956218935105199t_bool: $tType ).
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(list_VEBT_VEBT_type,type,
list_VEBT_VEBT: $tType ).
thf(m_type,type,
m: nat ).
thf(sk__type,type,
sk_: nat > nat ).
thf(vEBT_VEBT_high_type,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
thf(ord_less_nat_type,type,
ord_less_nat: fun_nat_fun_nat_bool ).
thf(summary_type,type,
summary: vEBT_VEBT ).
thf(aa_VEB4832260192069861672t_bool_type,type,
aa_VEB4832260192069861672t_bool: fun_VE3763956218935105199t_bool > vEBT_VEBT > fun_nat_bool ).
thf(list_u1324408373059187874T_VEBT_type,type,
list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(na_type,type,
na: nat ).
thf(treeList_type,type,
treeList: list_VEBT_VEBT ).
thf(aa_num_nat_type,type,
aa_num_nat: fun_num_nat > num > nat ).
thf(pp_type,type,
pp: bool > $o ).
thf(vEBT_vebt_delete_type,type,
vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).
thf(bit0_type,type,
bit0: fun_num_num ).
thf(fFalse_type,type,
fFalse: bool ).
thf(aa_nat_fun_nat_bool_type,type,
aa_nat_fun_nat_bool: fun_nat_fun_nat_bool > nat > fun_nat_bool ).
thf(aa_nat_fun_nat_nat_type,type,
aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).
thf(xa_type,type,
xa: nat ).
thf(numeral_numeral_nat_type,type,
numeral_numeral_nat: fun_num_nat ).
thf(ma_type,type,
ma: nat ).
thf(aa_nat_nat_type,type,
aa_nat_nat: fun_nat_nat > nat > nat ).
thf(nth_VEBT_VEBT_type,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(one_type,type,
one: num ).
thf(aa_nat_bool_type,type,
aa_nat_bool: fun_nat_bool > nat > bool ).
thf(power_power_nat_type,type,
power_power_nat: fun_nat_fun_nat_nat ).
thf(fTrue_type,type,
fTrue: bool ).
thf(vEBT_VEBT_low_type,type,
vEBT_VEBT_low: fun_nat_fun_nat_nat ).
thf(maxs_type,type,
maxs: nat ).
thf(aa_num_num_type,type,
aa_num_num: fun_num_num > num > num ).
thf(vEBT_V8194947554948674370ptions_type,type,
vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).
thf(fact_13__C4_C,axiom,
! [I2: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ I2 ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ m ) ) )
=> ( ? [X_1: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ I2 ) ) @ X_1 ) )
<=> ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ summary ) @ I2 ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: nat] :
( ~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ summary ) @ X0 ) )
| ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X0 ) ) @ ( sk_ @ X0 ) ) )
| ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ X0 ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ m ) ) ) ),
inference(cnf,[status(esa)],[fact_13__C4_C]) ).
thf(fact_22_nth__list__update__neq,axiom,
! [I: nat,J: nat,Xs: list_VEBT_VEBT,X: vEBT_VEBT] :
( ( I != J )
=> ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ Xs @ I @ X ) @ J )
= ( nth_VEBT_VEBT @ Xs @ J ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: vEBT_VEBT] :
( ( X1 = X0 )
| ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ X2 @ X1 @ X3 ) @ X0 )
= ( nth_VEBT_VEBT @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_22_nth__list__update__neq]) ).
thf(conj_0,conjecture,
? [Y2: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ maxs ) ) @ Y2 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [Y2: nat] : ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ maxs ) ) @ Y2 ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl2840,plain,
! [X0: nat] :
~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ xa ) @ na ) ) ) @ maxs ) ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_11_True,axiom,
xa = ma ).
thf(zip_derived_cl13,plain,
xa = ma,
inference(cnf,[status(esa)],[fact_11_True]) ).
thf(fact_2__C8_C,axiom,
na = m ).
thf(zip_derived_cl2,plain,
na = m,
inference(cnf,[status(esa)],[fact_2__C8_C]) ).
thf(zip_derived_cl13_001,plain,
xa = ma,
inference(cnf,[status(esa)],[fact_11_True]) ).
thf(zip_derived_cl2_002,plain,
na = m,
inference(cnf,[status(esa)],[fact_2__C8_C]) ).
thf(zip_derived_cl13_003,plain,
xa = ma,
inference(cnf,[status(esa)],[fact_11_True]) ).
thf(zip_derived_cl2_004,plain,
na = m,
inference(cnf,[status(esa)],[fact_2__C8_C]) ).
thf(zip_derived_cl8130,plain,
! [X0: nat] :
~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ m ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ m ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ ma ) @ m ) ) ) @ maxs ) ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2840,zip_derived_cl13,zip_derived_cl2,zip_derived_cl13,zip_derived_cl2,zip_derived_cl13,zip_derived_cl2]) ).
thf(zip_derived_cl8242,plain,
! [X0: nat] :
( ~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) ) @ X0 ) )
| ( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ m )
= maxs ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl8130]) ).
thf(fact_10_bb,axiom,
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ maxs ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ m ) ) )
& ( maxs
!= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ) ) ).
thf(zip_derived_cl12,plain,
( maxs
!= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ na ) ),
inference(cnf,[status(esa)],[fact_10_bb]) ).
thf(zip_derived_cl2_005,plain,
na = m,
inference(cnf,[status(esa)],[fact_2__C8_C]) ).
thf(zip_derived_cl8011,plain,
( maxs
!= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ m ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl13_006,plain,
xa = ma,
inference(cnf,[status(esa)],[fact_11_True]) ).
thf(zip_derived_cl8015,plain,
( maxs
!= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ m ) ),
inference(demod,[status(thm)],[zip_derived_cl8011,zip_derived_cl13]) ).
thf(zip_derived_cl8246,plain,
! [X0: nat] :
~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) ) @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8242,zip_derived_cl8015]) ).
thf(zip_derived_cl8250,plain,
( ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ maxs ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ m ) ) )
| ~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ summary ) @ maxs ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl8246]) ).
thf(zip_derived_cl11,plain,
pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ maxs ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ m ) ),
inference(cnf,[status(esa)],[fact_10_bb]) ).
thf(help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T,axiom,
! [P: bool] :
( ( P = fFalse )
| ( P = fTrue ) ) ).
thf(zip_derived_cl2839,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( X0 = fTrue ) ),
inference(cnf,[status(esa)],[help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T]) ).
thf(help_fFalse_1_1_U,axiom,
~ ( pp @ fFalse ) ).
thf(zip_derived_cl2827,plain,
~ ( pp @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl8025,plain,
! [X0: bool] :
( ~ ( pp @ X0 )
| ( X0 = fTrue ) ),
inference('sup-',[status(thm)],[zip_derived_cl2839,zip_derived_cl2827]) ).
thf(fact_1__092_060open_062both__member__options_Asummary_Amaxs_092_060close_062,axiom,
pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ summary ) @ maxs ) ).
thf(zip_derived_cl1,plain,
pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ summary ) @ maxs ),
inference(cnf,[status(esa)],[fact_1__092_060open_062both__member__options_Asummary_Amaxs_092_060close_062]) ).
thf(zip_derived_cl8048,plain,
( ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ summary ) @ maxs )
= fTrue ),
inference('sup+',[status(thm)],[zip_derived_cl8025,zip_derived_cl1]) ).
thf(zip_derived_cl1_007,plain,
pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ summary ) @ maxs ),
inference(cnf,[status(esa)],[fact_1__092_060open_062both__member__options_Asummary_Amaxs_092_060close_062]) ).
thf(zip_derived_cl8048_008,plain,
( ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ summary ) @ maxs )
= fTrue ),
inference('sup+',[status(thm)],[zip_derived_cl8025,zip_derived_cl1]) ).
thf(zip_derived_cl8058,plain,
pp @ fTrue,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl8048]) ).
thf(zip_derived_cl8252,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8250,zip_derived_cl11,zip_derived_cl8048,zip_derived_cl8058]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ITP262_1 : TPTP v9.2.0. Released v8.0.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8GHGRGosX8 true
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 15:28:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 25.47/4.24 % Solved by fo/fo3_bce.sh.
% 25.47/4.24 % BCE start: 2841
% 25.47/4.24 % BCE eliminated: 7
% 25.47/4.24 % PE start: 2834
% 25.47/4.24 logic: eq
% 25.47/4.24 % PE eliminated: 16
% 25.47/4.24 % done 199 iterations in 3.458s
% 25.47/4.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 25.47/4.24 % SZS output start Refutation
% See solution above
% 25.47/4.24
% 25.47/4.24
% 25.47/4.24 % Terminating...
% 25.60/4.29 % Runner terminated.
% 25.60/4.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------