%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP272_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sBvFzeBPbu true
% Computer : n001.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 04:39:43 PM UTC 2025
% Result : Theorem 12.31s 2.38s
% Output : Refutation 12.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 464 ( 4 ~; 1 |; 0 &; 458 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 16 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 24 usr; 14 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(fun_nat_bool_type,type,
fun_nat_bool: $tType ).
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(list_VEBT_VEBT_type,type,
list_VEBT_VEBT: $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(option_nat_type,type,
option_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(aa_num_nat_type,type,
aa_num_nat: fun_num_nat > num > nat ).
thf(aa_nat_nat_type,type,
aa_nat_nat: fun_nat_nat > nat > nat ).
thf(one_type,type,
one: num ).
thf(numeral_numeral_nat_type,type,
numeral_numeral_nat: fun_num_nat ).
thf(aa_num_num_type,type,
aa_num_num: fun_num_num > num > num ).
thf(treeList_type,type,
treeList: list_VEBT_VEBT ).
thf(aa_nat_bool_type,type,
aa_nat_bool: fun_nat_bool > nat > bool ).
thf(pp_type,type,
pp: bool > $o ).
thf(na_type,type,
na: nat ).
thf(nth_VEBT_VEBT_type,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(divide_divide_nat_type,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
thf(times_times_nat_type,type,
times_times_nat: fun_nat_fun_nat_nat ).
thf(vEBT_VEBT_low_type,type,
vEBT_VEBT_low: fun_nat_fun_nat_nat ).
thf(the_nat_type,type,
the_nat: option_nat > nat ).
thf(vEBT_invar_vebt_type,type,
vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).
thf(summary_type,type,
summary: vEBT_VEBT ).
thf(vEBT_vebt_mint_type,type,
vEBT_vebt_mint: vEBT_VEBT > option_nat ).
thf(deg_type,type,
deg: nat ).
thf(bit0_type,type,
bit0: fun_num_num ).
thf(aa_nat_fun_nat_nat_type,type,
aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).
thf(vEBT_vebt_delete_type,type,
vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).
thf(vEBT_VEBT_high_type,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
thf(power_power_nat_type,type,
power_power_nat: fun_nat_fun_nat_nat ).
thf(plus_plus_nat_type,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
thf(fact_0_delete__pres__valid,axiom,
! [T: vEBT_VEBT,N: nat,X: nat] :
( ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ T ) @ N ) )
=> ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ T @ X ) ) @ N ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: vEBT_VEBT,X1: nat,X2: nat] :
( ~ ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ X0 ) @ X1 ) )
| ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ X0 @ X2 ) ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_0_delete__pres__valid]) ).
thf(conj_0,conjecture,
pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ na ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ na ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl791,plain,
~ ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ na ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl947,plain,
~ ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ na ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl791]) ).
thf(fact_6__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_A_Ithe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_J_A_Ideg_Adiv_A2_J_J_An_092_060close_062,axiom,
pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ na ) ).
thf(zip_derived_cl5,plain,
pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) @ na ),
inference(cnf,[status(esa)],[fact_6__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_A_Ithe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_J_A_Ideg_Adiv_A2_J_J_An_092_060close_062]) ).
thf(zip_derived_cl972,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl947,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ITP272_1 : TPTP v9.2.0. Released v8.0.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sBvFzeBPbu true
% 0.11/0.32 % Computer : n001.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 15:30:08 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.51/0.64 % Total configuration time : 435
% 0.51/0.64 % Estimated wc time : 1092
% 0.51/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.31/2.38 % Solved by fo/fo4.sh.
% 12.31/2.38 % done 67 iterations in 1.620s
% 12.31/2.38 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.31/2.38 % SZS output start Refutation
% See solution above
% 12.80/2.38
% 12.80/2.38
% 12.80/2.38 % Terminating...
% 12.80/2.45 % Runner terminated.
% 12.80/2.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------