%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP221_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TcfANMJARd true
% Computer : n013.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 04:39:18 PM UTC 2025
% Result : Theorem 27.79s 4.57s
% Output : Refutation 27.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 429 ( 6 ~; 10 |; 0 &; 410 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 10 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 23 usr; 13 con; 0-4 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(fun_VE3763956218935105199t_bool_type,type,
fun_VE3763956218935105199t_bool: $tType ).
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(option4927543243414619207at_nat_type,type,
option4927543243414619207at_nat: $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(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(vEBT_VEBT_high_type,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
thf(treeList_type,type,
treeList: list_VEBT_VEBT ).
thf(summary_type,type,
summary: 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(info_type,type,
info: option4927543243414619207at_nat ).
thf(vEBT_VEBT_low_type,type,
vEBT_VEBT_low: fun_nat_fun_nat_nat ).
thf(aa_nat_nat_type,type,
aa_nat_nat: fun_nat_nat > nat > nat ).
thf(pp_type,type,
pp: bool > $o ).
thf(divide_divide_nat_type,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
thf(x_type,type,
x: nat ).
thf(vEBT_V5719532721284313246member_type,type,
vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).
thf(nth_VEBT_VEBT_type,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(vEBT_V8194947554948674370ptions_type,type,
vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).
thf(bit0_type,type,
bit0: fun_num_num ).
thf(one_type,type,
one: num ).
thf(aa_num_nat_type,type,
aa_num_nat: fun_num_nat > num > nat ).
thf(vEBT_VEBT_membermima_type,type,
vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).
thf(aa_nat_bool_type,type,
aa_nat_bool: fun_nat_bool > nat > bool ).
thf(deg_type,type,
deg: nat ).
thf(numeral_numeral_nat_type,type,
numeral_numeral_nat: fun_num_nat ).
thf(vEBT_Node_type,type,
vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(aa_VEB4832260192069861672t_bool_type,type,
aa_VEB4832260192069861672t_bool: fun_VE3763956218935105199t_bool > vEBT_VEBT > fun_nat_bool ).
thf(aa_num_num_type,type,
aa_num_num: fun_num_num > num > num ).
thf(conj_0,conjecture,
pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl18251,plain,
~ ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062,axiom,
( ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ x ) @ ( 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 @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) )
| ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ x ) @ ( 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 @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
( ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ x ) @ ( 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 @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) )
| ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ x ) @ ( 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 @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062]) ).
thf(fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,axiom,
( ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ x ) @ ( 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 @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) )
=> ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) ) ) ).
thf(zip_derived_cl14,plain,
( ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) )
| ~ ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ x ) @ ( 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 @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062]) ).
thf(zip_derived_cl18351,plain,
( ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ x ) @ ( 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 @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) )
| ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl14]) ).
thf(fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,axiom,
( ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ x ) @ ( 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 @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) )
=> ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) ) ) ).
thf(zip_derived_cl13,plain,
( ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) )
| ~ ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ x ) @ ( 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 @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062]) ).
thf(zip_derived_cl18353,plain,
( ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) )
| ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18351,zip_derived_cl13]) ).
thf(fact_0_both__member__options__def,axiom,
! [T: vEBT_VEBT,X: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ T ) @ X ) )
<=> ( ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ T ) @ X ) )
| ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ T ) @ X ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: vEBT_VEBT,X1: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ X0 ) @ X1 ) )
| ~ ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_0_both__member__options__def]) ).
thf(zip_derived_cl18354,plain,
( ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) )
| ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18353,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
! [X0: vEBT_VEBT,X1: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ X0 ) @ X1 ) )
| ~ ( pp @ ( aa_nat_bool @ ( vEBT_V5719532721284313246member @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_0_both__member__options__def]) ).
thf(zip_derived_cl18355,plain,
pp @ ( aa_nat_bool @ ( aa_VEB4832260192069861672t_bool @ vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) ) @ x ),
inference(clc,[status(thm)],[zip_derived_cl18354,zip_derived_cl1]) ).
thf(zip_derived_cl18356,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl18251,zip_derived_cl18355]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP221_1 : TPTP v9.2.0. Released v8.0.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TcfANMJARd true
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 15:35:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 27.79/4.57 % Solved by fo/fo5.sh.
% 27.79/4.57 % done 302 iterations in 3.789s
% 27.79/4.57 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.79/4.57 % SZS output start Refutation
% See solution above
% 27.79/4.57
% 27.79/4.57
% 27.79/4.57 % Terminating...
% 28.28/4.66 % Runner terminated.
% 28.28/4.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------