TSTP Solution File: ITP257_1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP257_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : Sat May 4 08:10:07 EDT 2024
% Result : Theorem 118.46s 23.59s
% Output : CNFRefutation 118.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 49
% Syntax : Number of formulae : 71 ( 32 unt; 39 typ; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of types : 9 ( 9 usr)
% Number of type conns : 18 ( 10 >; 8 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 20 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_nat_fun_nat_nat: $tType ).
tff(decl_sort2,type,
nat: $tType ).
tff(decl_sort3,type,
num: $tType ).
tff(decl_sort4,type,
fun_nat_nat: $tType ).
tff(decl_sort5,type,
vEBT_VEBT: $tType ).
tff(decl_sort6,type,
option_nat: $tType ).
tff(decl_sort7,type,
list_VEBT_VEBT: $tType ).
tff(decl_sort8,type,
fun_num_nat: $tType ).
tff(decl_sort9,type,
fun_num_num: $tType ).
tff(decl_1005,type,
one_one_nat: nat ).
tff(decl_1012,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
tff(decl_1025,type,
times_times_nat: fun_nat_fun_nat_nat ).
tff(decl_1157,type,
list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).
tff(decl_1176,type,
nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(decl_1201,type,
suc: fun_nat_nat ).
tff(decl_1262,type,
bit0: fun_num_num ).
tff(decl_1264,type,
one: num ).
tff(decl_1272,type,
numeral_numeral_nat: fun_num_nat ).
tff(decl_1280,type,
some_nat: nat > option_nat ).
tff(decl_1291,type,
the_nat: option_nat > nat ).
tff(decl_1369,type,
power_power_nat: fun_nat_fun_nat_nat ).
tff(decl_1454,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
tff(decl_1603,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
tff(decl_1605,type,
vEBT_VEBT_low: fun_nat_fun_nat_nat ).
tff(decl_1616,type,
vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).
tff(decl_1637,type,
vEBT_vebt_maxt: vEBT_VEBT > option_nat ).
tff(decl_1744,type,
aa_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(decl_1772,type,
aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).
tff(decl_1802,type,
aa_num_nat: ( fun_num_nat * num ) > nat ).
tff(decl_1803,type,
aa_num_num: ( fun_num_num * num ) > num ).
tff(decl_2126,type,
deg: nat ).
tff(decl_2127,type,
lx: nat ).
tff(decl_2129,type,
ma: nat ).
tff(decl_2130,type,
maxi: nat ).
tff(decl_2131,type,
maxs: nat ).
tff(decl_2133,type,
na: nat ).
tff(decl_2134,type,
summary: vEBT_VEBT ).
tff(decl_2135,type,
summin: nat ).
tff(decl_2136,type,
treeList: list_VEBT_VEBT ).
tff(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),
file('/export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.p',conj_0) ).
tff(fact_1414_add_Ocommute,axiom,
! [X4: nat,X5: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X4),X5) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X5),X4) ),
file('/export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.p',fact_1414_add_Ocommute) ).
tff(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),
file('/export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.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) ).
tff(fact_649_Suc__1,axiom,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
file('/export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.p',fact_649_Suc__1) ).
tff(fact_364_option_Osel,axiom,
! [X329: nat] : ( the_nat(some_nat(X329)) = X329 ),
file('/export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.p',fact_364_option_Osel) ).
tff(fact_1380_mult_Ocommute,axiom,
! [X4: nat,X5: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X4),X5) = aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X5),X4) ),
file('/export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.p',fact_1380_mult_Ocommute) ).
tff(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,
file('/export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.p',fact_19_True) ).
tff(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.e4NEMgAHin/E---3.1_17875.p',fact_16__092_060open_062Some_Amaxi_A_061_Avebt__maxt_A_ItreeList_A_B_Amaxs_J_092_060close_062) ).
tff(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,
file('/export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.p',fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).
tff(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))),
file('/export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.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) ).
tff(c_0_10,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
tff(c_0_11,plain,
! [X20648: nat,X20649: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X20648),X20649) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X20649),X20648) ),
inference(variable_rename,[status(thm)],[fact_1414_add_Ocommute]) ).
tff(c_0_12,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(fof_nnf,[status(thm)],[c_0_10]) ).
tcf(c_0_13,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(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]) ).
tcf(c_0_14,plain,
! [X2: nat,X1: nat] : aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X1),X2) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_15,plain,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
inference(split_conjunct,[status(thm)],[fact_649_Suc__1]) ).
tff(c_0_16,plain,
! [X20848: nat] : ( the_nat(some_nat(X20848)) = X20848 ),
inference(variable_rename,[status(thm)],[fact_364_option_Osel]) ).
tff(c_0_17,plain,
! [X20307: nat,X20308: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X20307),X20308) = aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X20308),X20307) ),
inference(variable_rename,[status(thm)],[fact_1380_mult_Ocommute]) ).
tcf(c_0_18,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(split_conjunct,[status(thm)],[fact_19_True]) ).
tcf(c_0_19,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(split_conjunct,[status(thm)],[c_0_12]) ).
tcf(c_0_20,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,lx),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,summin),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),na)))),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,lx),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,summin),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),na)))),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_low,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,lx),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,summin),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),na)))),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,lx),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,summin),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),na)))),na))))) = 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_14]),c_0_15]),c_0_14]),c_0_15]),c_0_14]),c_0_15]) ).
tcf(c_0_21,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]) ).
tcf(c_0_22,plain,
! [X1: nat] : the_nat(some_nat(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
tcf(c_0_23,plain,
! [X2: nat,X1: nat] : aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X1),X2) = aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_24,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(split_conjunct,[status(thm)],[fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
tcf(c_0_25,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_nat_nat(suc,one_one_nat)),na))),lx) = ma,
inference(rw,[status(thm)],[c_0_18,c_0_15]) ).
tcf(c_0_26,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(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]) ).
tcf(c_0_27,negated_conjecture,
aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,maxi),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)))),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,lx),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,summin),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),na)))),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_nat_nat(suc,one_one_nat)),na))),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_15]),c_0_15]),c_0_14]),c_0_15]),c_0_14]),c_0_15]),c_0_14]),c_0_15]),c_0_14]),c_0_15]),c_0_14]),c_0_15]),c_0_20]),c_0_21]),c_0_22]),c_0_14]),c_0_15]),c_0_23]),c_0_14]) ).
tcf(c_0_28,plain,
aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)) = na,
inference(rw,[status(thm)],[c_0_24,c_0_15]) ).
tcf(c_0_29,plain,
aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,lx),aa_nat_nat(aa_nat_fun_nat_nat(times_times_nat,summin),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),na))) = ma,
inference(rw,[status(thm)],[c_0_25,c_0_14]) ).
tcf(c_0_30,plain,
vEBT_vebt_maxt(vEBT_vebt_delete(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,ma),na))) = some_nat(maxs),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_15]),c_0_25]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ITP257_1 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 13:13:46 EDT 2024
% 0.13/0.33 % CPUTime :
% 7.95/8.15 Running first-order model finding
% 7.95/8.15 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.e4NEMgAHin/E---3.1_17875.p
% 118.46/23.59 # Version: 3.1.0
% 118.46/23.59 # Preprocessing class: FMLLSMLLSSSNFFN.
% 118.46/23.59 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 118.46/23.59 # Starting new_bool_3 with 897s (3) cores
% 118.46/23.59 # Starting new_bool_1 with 897s (3) cores
% 118.46/23.59 # Starting sh5l with 299s (1) cores
% 118.46/23.59 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 118.46/23.59 # new_bool_1 with pid 18154 completed with status 0
% 118.46/23.59 # Result found by new_bool_1
% 118.46/23.59 # Preprocessing class: FMLLSMLLSSSNFFN.
% 118.46/23.59 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 118.46/23.59 # Starting new_bool_3 with 897s (3) cores
% 118.46/23.59 # Starting new_bool_1 with 897s (3) cores
% 118.46/23.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 118.46/23.59 # Search class: FGHSM-SMLM32-DFFFFFNN
% 118.46/23.59 # Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 118.46/23.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 118.46/23.59 # Starting new_bool_1 with 90s (1) cores
% 118.46/23.59 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 118.46/23.59 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 18157 completed with status 0
% 118.46/23.59 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 118.46/23.59 # Preprocessing class: FMLLSMLLSSSNFFN.
% 118.46/23.59 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 118.46/23.59 # Starting new_bool_3 with 897s (3) cores
% 118.46/23.59 # Starting new_bool_1 with 897s (3) cores
% 118.46/23.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 118.46/23.59 # Search class: FGHSM-SMLM32-DFFFFFNN
% 118.46/23.59 # Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 118.46/23.59 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 118.46/23.59 # Preprocessing time : 0.231 s
% 118.46/23.59 # Presaturation interreduction done
% 118.46/23.59
% 118.46/23.59 # Proof found!
% 118.46/23.59 # SZS status Theorem
% 118.46/23.59 # SZS output start CNFRefutation
% See solution above
% 118.46/23.59 # Parsed axioms : 13716
% 118.46/23.59 # Removed by relevancy pruning/SinE : 9660
% 118.46/23.59 # Initial clauses : 10374
% 118.46/23.59 # Removed in clause preprocessing : 2006
% 118.46/23.59 # Initial clauses in saturation : 8368
% 118.46/23.59 # Processed clauses : 10343
% 118.46/23.59 # ...of these trivial : 395
% 118.46/23.59 # ...subsumed : 1898
% 118.46/23.59 # ...remaining for further processing : 8049
% 118.46/23.59 # Other redundant clauses eliminated : 2368
% 118.46/23.59 # Clauses deleted for lack of memory : 0
% 118.46/23.59 # Backward-subsumed : 71
% 118.46/23.59 # Backward-rewritten : 116
% 118.46/23.59 # Generated clauses : 6418
% 118.46/23.59 # ...of the previous two non-redundant : 4918
% 118.46/23.59 # ...aggressively subsumed : 0
% 118.46/23.59 # Contextual simplify-reflections : 97
% 118.46/23.59 # Paramodulations : 4727
% 118.46/23.59 # Factorizations : 3
% 118.46/23.59 # NegExts : 0
% 118.46/23.59 # Equation resolutions : 2407
% 118.46/23.59 # Disequality decompositions : 0
% 118.46/23.59 # Total rewrite steps : 9316
% 118.46/23.59 # ...of those cached : 7915
% 118.46/23.59 # Propositional unsat checks : 2
% 118.46/23.59 # Propositional check models : 2
% 118.46/23.59 # Propositional check unsatisfiable : 0
% 118.46/23.59 # Propositional clauses : 0
% 118.46/23.59 # Propositional clauses after purity: 0
% 118.46/23.59 # Propositional unsat core size : 0
% 118.46/23.59 # Propositional preprocessing time : 0.000
% 118.46/23.59 # Propositional encoding time : 0.069
% 118.46/23.59 # Propositional solver time : 0.009
% 118.46/23.59 # Success case prop preproc time : 0.000
% 118.46/23.59 # Success case prop encoding time : 0.000
% 118.46/23.59 # Success case prop solver time : 0.000
% 118.46/23.59 # Current number of processed clauses : 833
% 118.46/23.59 # Positive orientable unit clauses : 310
% 118.46/23.59 # Positive unorientable unit clauses: 9
% 118.46/23.59 # Negative unit clauses : 172
% 118.46/23.59 # Non-unit-clauses : 342
% 118.46/23.59 # Current number of unprocessed clauses: 8531
% 118.46/23.59 # ...number of literals in the above : 26881
% 118.46/23.59 # Current number of archived formulas : 0
% 118.46/23.59 # Current number of archived clauses : 5775
% 118.46/23.59 # Clause-clause subsumption calls (NU) : 25653431
% 118.46/23.59 # Rec. Clause-clause subsumption calls : 1145529
% 118.46/23.59 # Non-unit clause-clause subsumptions : 1773
% 118.46/23.59 # Unit Clause-clause subsumption calls : 92037
% 118.46/23.59 # Rewrite failures with RHS unbound : 0
% 118.46/23.59 # BW rewrite match attempts : 8965
% 118.46/23.59 # BW rewrite match successes : 447
% 118.46/23.59 # Condensation attempts : 0
% 118.46/23.59 # Condensation successes : 0
% 118.46/23.59 # Termbank termtop insertions : 1813947
% 118.46/23.59 # Search garbage collected termcells : 207819
% 118.46/23.59
% 118.46/23.59 # -------------------------------------------------
% 118.46/23.59 # User time : 14.040 s
% 118.46/23.59 # System time : 0.158 s
% 118.46/23.59 # Total time : 14.198 s
% 118.46/23.59 # Maximum resident set size: 55964 pages
% 118.46/23.59
% 118.46/23.59 # -------------------------------------------------
% 118.46/23.59 # User time : 41.010 s
% 118.46/23.59 # System time : 0.439 s
% 118.46/23.59 # Total time : 41.450 s
% 118.46/23.59 # Maximum resident set size: 30872 pages
% 118.46/23.59 % E---3.1 exiting
%------------------------------------------------------------------------------