%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP257^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:04:57 AM UTC 2026
% Result : Theorem 141.85s 51.87s
% Output : CNFRefutation 141.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 28 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 609 ( 4 ~; 0 |; 0 &; 605 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 5 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 13 con; 0-3 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
num: $tType ).
thf(decl_sort3,type,
vEBT_VEBT: $tType ).
thf(decl_sort4,type,
list_VEBT_VEBT: $tType ).
thf(decl_sort5,type,
option_nat: $tType ).
thf(decl_207,type,
one_one_nat: nat ).
thf(decl_214,type,
plus_plus_nat: nat > nat > nat ).
thf(decl_227,type,
times_times_nat: nat > nat > nat ).
thf(decl_364,type,
list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(decl_383,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_408,type,
suc: nat > nat ).
thf(decl_437,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
thf(decl_469,type,
bit0: num > num ).
thf(decl_471,type,
one: num ).
thf(decl_479,type,
numeral_numeral_nat: num > nat ).
thf(decl_487,type,
some_nat: nat > option_nat ).
thf(decl_498,type,
the_nat: option_nat > nat ).
thf(decl_576,type,
power_power_nat: nat > nat > nat ).
thf(decl_661,type,
divide_divide_nat: nat > nat > nat ).
thf(decl_810,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(decl_812,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(decl_823,type,
vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_844,type,
vEBT_vebt_maxt: vEBT_VEBT > option_nat ).
thf(decl_873,type,
deg: nat ).
thf(decl_874,type,
lx: nat ).
thf(decl_875,type,
m: nat ).
thf(decl_876,type,
ma: nat ).
thf(decl_877,type,
maxi: nat ).
thf(decl_878,type,
maxs: nat ).
thf(decl_880,type,
na: nat ).
thf(decl_881,type,
summary: vEBT_VEBT ).
thf(decl_882,type,
summin: nat ).
thf(decl_883,type,
treeList: list_VEBT_VEBT ).
thf(conj_0,conjecture,
( ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) )
= ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) @ maxs ) @ maxi ) ),
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',conj_0) ).
thf(fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062,axiom,
( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= na ),
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).
thf(fact_649_Suc__1,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',fact_649_Suc__1) ).
thf(fact_47__C4_Ohyps_C_I2_J,axiom,
( ( size_s6755466524823107622T_VEBT @ treeList )
= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) ),
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',fact_47__C4_Ohyps_C_I2_J) ).
thf(fact_0__C4_Ohyps_C_I3_J,axiom,
m = na,
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',fact_0__C4_Ohyps_C_I3_J) ).
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 @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',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(fact_19_True,axiom,
( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma ),
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',fact_19_True) ).
thf(fact_364_option_Osel,axiom,
! [X334: nat] :
( ( the_nat @ ( some_nat @ X334 ) )
= X334 ),
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',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 @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) )
= ( nth_VEBT_VEBT @ treeList @ maxs ) ),
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',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(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 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p',fact_16__092_060open_062Some_Amaxi_A_061_Avebt__maxt_A_ItreeList_A_B_Amaxs_J_092_060close_062) ).
thf(c_0_10,negated_conjecture,
( ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) )
!= ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) @ maxs ) @ maxi ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_11,negated_conjecture,
( ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) )
!= ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) @ maxs ) @ maxi ) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
thf(c_0_12,plain,
( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= na ),
inference(split_conjunct,[status(thm)],[fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
thf(c_0_13,plain,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
inference(split_conjunct,[status(thm)],[fact_649_Suc__1]) ).
thf(c_0_14,plain,
( ( size_s6755466524823107622T_VEBT @ treeList )
= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) ),
inference(split_conjunct,[status(thm)],[fact_47__C4_Ohyps_C_I2_J]) ).
thf(c_0_15,plain,
m = na,
inference(split_conjunct,[status(thm)],[fact_0__C4_Ohyps_C_I3_J]) ).
thf(c_0_16,plain,
( ( some_nat @ maxs )
= ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ),
inference(split_conjunct,[status(thm)],[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(c_0_17,plain,
( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma ),
inference(split_conjunct,[status(thm)],[fact_19_True]) ).
thf(c_0_18,plain,
! [X27858: nat] :
( ( the_nat @ ( some_nat @ X27858 ) )
= X27858 ),
inference(variable_rename,[status(thm)],[fact_364_option_Osel]) ).
thf(c_0_19,negated_conjecture,
( ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) )
!= ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) @ maxs ) @ maxi ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_20,plain,
( ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) )
= na ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_21,plain,
( ( power_power_nat @ ( suc @ one_one_nat ) @ na )
= ( size_s6755466524823107622T_VEBT @ treeList ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13]),c_0_15]) ).
thf(c_0_22,plain,
( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ma @ na ) ) )
= ( some_nat @ maxs ) ),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_23,plain,
! [X1: nat] :
( ( the_nat @ ( some_nat @ X1 ) )
= X1 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_24,plain,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) )
= ( nth_VEBT_VEBT @ treeList @ maxs ) ),
inference(split_conjunct,[status(thm)],[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(c_0_25,negated_conjecture,
( ( plus_plus_nat @ ( times_times_nat @ ( size_s6755466524823107622T_VEBT @ treeList ) @ maxs ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ma @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ma @ na ) ) @ ( vEBT_VEBT_low @ ma @ na ) ) ) @ maxs ) ) ) )
!= ( plus_plus_nat @ ( times_times_nat @ ( size_s6755466524823107622T_VEBT @ treeList ) @ maxs ) @ maxi ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_13]),c_0_13]),c_0_20]),c_0_21]),c_0_17]),c_0_22]),c_0_23]),c_0_17]),c_0_17]),c_0_17]),c_0_17]),c_0_22]),c_0_23]),c_0_13]),c_0_21]) ).
thf(c_0_26,plain,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ma @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ma @ na ) ) @ ( vEBT_VEBT_low @ ma @ na ) ) ) @ maxs )
= ( nth_VEBT_VEBT @ treeList @ maxs ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_17]),c_0_17]),c_0_17]),c_0_17]),c_0_22]),c_0_23]) ).
thf(c_0_27,plain,
( ( some_nat @ maxi )
= ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ treeList @ maxs ) ) ),
inference(split_conjunct,[status(thm)],[fact_16__092_060open_062Some_Amaxi_A_061_Avebt__maxt_A_ItreeList_A_B_Amaxs_J_092_060close_062]) ).
thf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP257^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 20:43:18 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 4.86/4.91 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.4oEj4LnIMl/E---3.1_4085539.p
% 141.85/51.87 % Version: 3.5.1-ho
% 141.85/51.87 % partial match(1): HMLMSMSMSSLCHFA
% 141.85/51.87 % Preprocessing class: HMLMSMLMSSLCHFA.
% 141.85/51.87 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 141.85/51.87 % Starting new_ho_10 with 1495s (5) cores
% 141.85/51.87 % Starting sh5l with 299s (1) cores
% 141.85/51.87 % Starting new_bool_1 with 299s (1) cores
% 141.85/51.87 % Starting new_bool_2 with 299s (1) cores
% 141.85/51.87 % new_bool_2 with pid 4085745 completed with status 0
% 141.85/51.87 % Result found by new_bool_2
% 141.85/51.87 % partial match(1): HMLMSMSMSSLCHFA
% 141.85/51.87 % Preprocessing class: HMLMSMLMSSLCHFA.
% 141.85/51.87 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 141.85/51.87 % Starting new_ho_10 with 1495s (5) cores
% 141.85/51.87 % Starting sh5l with 299s (1) cores
% 141.85/51.87 % Starting new_bool_1 with 299s (1) cores
% 141.85/51.87 % Starting new_bool_2 with 299s (1) cores
% 141.85/51.87 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 141.85/51.87 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 141.85/51.87 % Search class: HGHSM-SMLM32-DHFFFSBN
% 141.85/51.87 % Scheduled 5 strats onto 1 cores with 297 seconds (297 total)
% 141.85/51.87 % Starting SubtermCWHack with 30s (1) cores
% 141.85/51.87 % SubtermCWHack with pid 4085759 completed with status 8
% 141.85/51.87 % Starting new_ho_10 with 179s (1) cores
% 141.85/51.87 % new_ho_10 with pid 4085822 completed with status 0
% 141.85/51.87 % Result found by new_ho_10
% 141.85/51.87 % partial match(1): HMLMSMSMSSLCHFA
% 141.85/51.87 % Preprocessing class: HMLMSMLMSSLCHFA.
% 141.85/51.87 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 141.85/51.87 % Starting new_ho_10 with 1495s (5) cores
% 141.85/51.87 % Starting sh5l with 299s (1) cores
% 141.85/51.87 % Starting new_bool_1 with 299s (1) cores
% 141.85/51.87 % Starting new_bool_2 with 299s (1) cores
% 141.85/51.87 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 141.85/51.87 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 141.85/51.87 % Search class: HGHSM-SMLM32-DHFFFSBN
% 141.85/51.87 % Scheduled 5 strats onto 1 cores with 297 seconds (297 total)
% 141.85/51.87 % Starting SubtermCWHack with 30s (1) cores
% 141.85/51.87 % SubtermCWHack with pid 4085759 completed with status 8
% 141.85/51.87 % Starting new_ho_10 with 179s (1) cores
% 141.85/51.87 % Preprocessing time : 0.291 s
% 141.85/51.87 % Presaturation interreduction done
% 141.85/51.87
% 141.85/51.87 % Proof found!
% 141.85/51.87 % SZS status Theorem
% 141.85/51.87 % SZS output start CNFRefutation
% See solution above
% 141.85/51.87 % Parsed axioms : 11194
% 141.85/51.87 % Removed by relevancy pruning/SinE : 7823
% 141.85/51.87 % Initial clauses : 8528
% 141.85/51.87 % Removed in clause preprocessing : 1919
% 141.85/51.87 % Initial clauses in saturation : 6609
% 141.85/51.87 % Processed clauses : 7843
% 141.85/51.87 % ...of these trivial : 298
% 141.85/51.87 % ...subsumed : 1573
% 141.85/51.87 % ...remaining for further processing : 5971
% 141.85/51.87 % Other redundant clauses eliminated : 1312
% 141.85/51.87 % Clauses deleted for lack of memory : 0
% 141.85/51.87 % Backward-subsumed : 45
% 141.85/51.87 % Backward-rewritten : 90
% 141.85/51.87 % Generated clauses : 1423
% 141.85/51.87 % ...of the previous two non-redundant : 1069
% 141.85/51.87 % ...aggressively subsumed : 0
% 141.85/51.87 % Contextual simplify-reflections : 91
% 141.85/51.87 % Paramodulations : 474
% 141.85/51.87 % Factorizations : 0
% 141.85/51.87 % NegExts : 0
% 141.85/51.87 % Equation resolutions : 1324
% 141.85/51.87 % Disequality decompositions : 0
% 141.85/51.87 % Total rewrite steps : 5111
% 141.85/51.87 % ...of those cached : 4450
% 141.85/51.87 % Propositional unsat checks : 0
% 141.85/51.87 % Propositional check models : 0
% 141.85/51.87 % Propositional check unsatisfiable : 0
% 141.85/51.87 % Propositional clauses : 0
% 141.85/51.87 % Propositional clauses after purity: 0
% 141.85/51.87 % Propositional unsat core size : 0
% 141.85/51.87 % Propositional preprocessing time : 0.000
% 141.85/51.87 % Propositional encoding time : 0.000
% 141.85/51.87 % Propositional solver time : 0.000
% 141.85/51.87 % Success case prop preproc time : 0.000
% 141.85/51.87 % Success case prop encoding time : 0.000
% 141.85/51.87 % Success case prop solver time : 0.000
% 141.85/51.87 % Current number of processed clauses : 397
% 141.85/51.87 % Positive orientable unit clauses : 182
% 141.85/51.87 % Positive unorientable unit clauses: 0
% 141.85/51.87 % Negative unit clauses : 128
% 141.85/51.87 % Non-unit-clauses : 87
% 141.85/51.87 % Current number of unprocessed clauses: 4353
% 141.85/51.87 % ...number of literals in the above : 16137
% 141.85/51.87 % Current number of archived formulas : 0
% 141.85/51.87 % Current number of archived clauses : 4657
% 141.85/51.87 % Clause-clause subsumption calls (NU) : 14302394
% 141.85/51.87 % Rec. Clause-clause subsumption calls : 1068246
% 141.85/51.87 % Non-unit clause-clause subsumptions : 1440
% 141.85/51.87 % Unit Clause-clause subsumption calls : 39489
% 141.85/51.87 % Rewrite failures with RHS unbound : 0
% 141.85/51.87 % BW rewrite match attempts : 628
% 141.85/51.87 % BW rewrite match successes : 203
% 141.85/51.87 % Condensation attempts : 7844
% 141.85/51.87 % Condensation successes : 36
% 141.85/51.87 % Termbank termtop insertions : 2947049
% 141.85/51.87 % Search garbage collected termcells : 180821
% 141.85/51.87
% 141.85/51.87 % -------------------------------------------------
% 141.85/51.87 % User time : 44.662 s
% 141.85/51.87 % System time : 0.422 s
% 141.85/51.87 % Total time : 45.084 s
% 141.85/51.87 % Maximum resident set size: 47904 pages
% 141.85/51.87
% 141.85/51.87 % -------------------------------------------------
% 141.85/51.87 % User time : 46.296 s
% 141.85/51.87 % System time : 0.478 s
% 141.85/51.87 % Total time : 46.773 s
% 141.85/51.87 % Maximum resident set size: 30208 pages
% 141.85/51.87 % E exiting
%------------------------------------------------------------------------------