TSTP Solution File: ITP257_1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP257_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W1OiPlQL4r true
% Computer : n014.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 Aug 31 05:23:51 EDT 2023
% Result : Theorem 82.08s 12.51s
% Output : Refutation 82.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 46
% Syntax : Number of formulae : 78 ( 41 unt; 37 typ; 0 def)
% Number of atoms : 41 ( 40 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1090 ( 3 ~; 0 |; 0 &;1087 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Number of types : 9 ( 9 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 19 con; 0-3 aty)
% Number of variables : 17 ( 0 ^; 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
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(option_nat_type,type,
option_nat: $tType ).
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(list_VEBT_VEBT_type,type,
list_VEBT_VEBT: $tType ).
thf(na_type,type,
na: nat ).
thf(power_power_nat_type,type,
power_power_nat: fun_nat_fun_nat_nat ).
thf(times_times_nat_type,type,
times_times_nat: fun_nat_fun_nat_nat ).
thf(nth_VEBT_VEBT_type,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(aa_nat_fun_nat_nat_type,type,
aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).
thf(list_u1324408373059187874T_VEBT_type,type,
list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(summin_type,type,
summin: nat ).
thf(divide_divide_nat_type,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
thf(the_nat_type,type,
the_nat: option_nat > nat ).
thf(ma_type,type,
ma: nat ).
thf(plus_plus_nat_type,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
thf(lx_type,type,
lx: nat ).
thf(vEBT_vebt_maxt_type,type,
vEBT_vebt_maxt: vEBT_VEBT > option_nat ).
thf(vEBT_vebt_delete_type,type,
vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).
thf(some_nat_type,type,
some_nat: nat > option_nat ).
thf(summary_type,type,
summary: vEBT_VEBT ).
thf(aa_num_nat_type,type,
aa_num_nat: fun_num_nat > num > nat ).
thf(one_type,type,
one: num ).
thf(maxi_type,type,
maxi: nat ).
thf(vEBT_VEBT_high_type,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
thf(aa_nat_nat_type,type,
aa_nat_nat: fun_nat_nat > nat > nat ).
thf(vEBT_VEBT_low_type,type,
vEBT_VEBT_low: fun_nat_fun_nat_nat ).
thf(aa_num_num_type,type,
aa_num_num: fun_num_num > num > num ).
thf(treeList_type,type,
treeList: list_VEBT_VEBT ).
thf(bit0_type,type,
bit0: fun_num_num ).
thf(deg_type,type,
deg: nat ).
thf(maxs_type,type,
maxs: nat ).
thf(numeral_numeral_nat_type,type,
numeral_numeral_nat: fun_num_nat ).
thf(conj_0,conjecture,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( 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_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ) ) ) ) )
= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) @ maxs ) ) @ maxi ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( 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_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ) ) ) ) )
!= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) @ maxs ) ) @ maxi ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl798,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( 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_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ) ) ) ) )
!= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) @ maxs ) ) @ maxi ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062,axiom,
( ( 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_cl6,plain,
( ( 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_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
thf(fact_19_True,axiom,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ) ).
thf(zip_derived_cl18,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(fact_18__092_060open_062Some_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_092_060close_062,axiom,
( ( some_nat @ maxs )
= ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ) ).
thf(zip_derived_cl17,plain,
( ( some_nat @ maxs )
= ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ),
inference(cnf,[status(esa)],[fact_18__092_060open_062Some_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_092_060close_062]) ).
thf(zip_derived_cl18_001,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(zip_derived_cl1502,plain,
( ( some_nat @ maxs )
= ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ na ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl18]) ).
thf(fact_364_option_Osel,axiom,
! [X22: nat] :
( ( the_nat @ ( some_nat @ X22 ) )
= X22 ) ).
thf(zip_derived_cl92,plain,
! [X0: nat] :
( ( the_nat @ ( some_nat @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[fact_364_option_Osel]) ).
thf(fact_1380_mult_Ocommute,axiom,
! [A: nat,B: nat] :
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ A ) @ B )
= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ B ) @ A ) ) ).
thf(zip_derived_cl267,plain,
! [X0: nat,X1: nat] :
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ X1 ) @ X0 )
= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_1380_mult_Ocommute]) ).
thf(zip_derived_cl18_002,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(zip_derived_cl18_003,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(zip_derived_cl18_004,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(zip_derived_cl18_005,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(zip_derived_cl1502_006,plain,
( ( some_nat @ maxs )
= ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ na ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl18]) ).
thf(zip_derived_cl92_007,plain,
! [X0: nat] :
( ( the_nat @ ( some_nat @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[fact_364_option_Osel]) ).
thf(fact_12__092_060open_062treeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_A_Ivebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_J_A_061_AtreeList_A_B_Amaxs_092_060close_062,axiom,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ) )
= ( nth_VEBT_VEBT @ treeList @ maxs ) ) ).
thf(zip_derived_cl10,plain,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( 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 @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx ) ) @ na ) ) ) ) )
= ( nth_VEBT_VEBT @ treeList @ maxs ) ),
inference(cnf,[status(esa)],[fact_12__092_060open_062treeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_A_Ivebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_J_A_061_AtreeList_A_B_Amaxs_092_060close_062]) ).
thf(zip_derived_cl18_008,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(zip_derived_cl18_009,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(zip_derived_cl18_010,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(zip_derived_cl18_011,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ summin ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) @ lx )
= ma ),
inference(cnf,[status(esa)],[fact_19_True]) ).
thf(zip_derived_cl1298,plain,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ ma ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ na ) ) ) ) )
= ( nth_VEBT_VEBT @ treeList @ maxs ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl18,zip_derived_cl18,zip_derived_cl18,zip_derived_cl18]) ).
thf(zip_derived_cl1502_012,plain,
( ( some_nat @ maxs )
= ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ na ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl18]) ).
thf(zip_derived_cl92_013,plain,
! [X0: nat] :
( ( the_nat @ ( some_nat @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[fact_364_option_Osel]) ).
thf(zip_derived_cl1504,plain,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ ma ) @ na ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_low @ ma ) @ na ) ) ) @ maxs )
= ( nth_VEBT_VEBT @ treeList @ maxs ) ),
inference(demod,[status(thm)],[zip_derived_cl1298,zip_derived_cl1502,zip_derived_cl92]) ).
thf(fact_16__092_060open_062Some_Amaxi_A_061_Avebt__maxt_A_ItreeList_A_B_Amaxs_J_092_060close_062,axiom,
( ( some_nat @ maxi )
= ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ treeList @ maxs ) ) ) ).
thf(zip_derived_cl15,plain,
( ( some_nat @ maxi )
= ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ treeList @ maxs ) ) ),
inference(cnf,[status(esa)],[fact_16__092_060open_062Some_Amaxi_A_061_Avebt__maxt_A_ItreeList_A_B_Amaxs_J_092_060close_062]) ).
thf(zip_derived_cl92_014,plain,
! [X0: nat] :
( ( the_nat @ ( some_nat @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[fact_364_option_Osel]) ).
thf(zip_derived_cl801,plain,
( ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ treeList @ maxs ) ) )
= maxi ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl92]) ).
thf(fact_1414_add_Ocommute,axiom,
! [A: nat,B: nat] :
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ A ) @ B )
= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ B ) @ A ) ) ).
thf(zip_derived_cl274,plain,
! [X0: nat,X1: nat] :
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X1 ) @ X0 )
= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_1414_add_Ocommute]) ).
thf(zip_derived_cl267_015,plain,
! [X0: nat,X1: nat] :
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ X1 ) @ X0 )
= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_1380_mult_Ocommute]) ).
thf(zip_derived_cl274_016,plain,
! [X0: nat,X1: nat] :
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X1 ) @ X0 )
= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_1414_add_Ocommute]) ).
thf(zip_derived_cl49847,plain,
( ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ maxi ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ maxs ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) )
!= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ maxi ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ times_times_nat @ maxs ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ na ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl798,zip_derived_cl6,zip_derived_cl18,zip_derived_cl1502,zip_derived_cl92,zip_derived_cl267,zip_derived_cl18,zip_derived_cl18,zip_derived_cl18,zip_derived_cl18,zip_derived_cl1502,zip_derived_cl92,zip_derived_cl1504,zip_derived_cl801,zip_derived_cl274,zip_derived_cl267,zip_derived_cl274]) ).
thf(zip_derived_cl49848,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl49847]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP257_1 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W1OiPlQL4r true
% 0.12/0.35 % Computer : n014.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 14:16:16 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 82.08/12.51 % Solved by fo/fo4.sh.
% 82.08/12.51 % done 2352 iterations in 11.667s
% 82.08/12.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 82.08/12.51 % SZS output start Refutation
% See solution above
% 82.08/12.52
% 82.08/12.52
% 82.08/12.52 % Terminating...
% 82.08/12.58 % Runner terminated.
% 82.08/12.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------