%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP221^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3BZJEqjDpJ true
% Computer : n004.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 Feb 28 09:48:08 AM UTC 2026
% Result : Theorem 136.65s 19.17s
% Output : Refutation 136.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 181 ( 7 ~; 7 |; 0 &; 164 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 8 con; 0-4 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(list_VEBT_VEBT_type,type,
list_VEBT_VEBT: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(num_type,type,
num: $tType ).
thf(option4927543243414619207at_nat_type,type,
option4927543243414619207at_nat: $tType ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(vEBT_V5719532721284313246member_type,type,
vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).
thf(summary_type,type,
summary: vEBT_VEBT ).
thf(vEBT_VEBT_high_type,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(vEBT_VEBT_membermima_type,type,
vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).
thf(vEBT_VEBT_low_type,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(vEBT_V8194947554948674370ptions_type,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(x_type,type,
x: nat ).
thf(treeList_type,type,
treeList: list_VEBT_VEBT ).
thf(vEBT_Node_type,type,
vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(suc_type,type,
suc: nat > nat ).
thf(nth_VEBT_VEBT_type,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(deg_type,type,
deg: nat ).
thf(info_type,type,
info: option4927543243414619207at_nat ).
thf(one_type,type,
one: num ).
thf(bit0_type,type,
bit0: num > num ).
thf(numeral_numeral_nat_type,type,
numeral_numeral_nat: num > nat ).
thf(divide_divide_nat_type,type,
divide_divide_nat: nat > nat > nat ).
thf(fact_11_assms_I3_J,axiom,
vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ).
thf(zip_derived_cl16,plain,
vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
inference(cnf,[status(esa)],[fact_11_assms_I3_J]) ).
thf(fact_0_both__member__options__def,axiom,
! [T: vEBT_VEBT,X: nat] :
( ( vEBT_V8194947554948674370ptions @ T @ X )
<=> ( ( vEBT_V5719532721284313246member @ T @ X )
| ( vEBT_VEBT_membermima @ T @ X ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: vEBT_VEBT,X1: nat] :
( ( vEBT_V8194947554948674370ptions @ X0 @ X1 )
| ~ ( vEBT_V5719532721284313246member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_0_both__member__options__def]) ).
thf(fact_148_Suc__1,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ).
thf(zip_derived_cl89,plain,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
inference(cnf,[status(esa)],[fact_148_Suc__1]) ).
thf(zip_derived_cl0,plain,
! [X0: vEBT_VEBT,X1: nat] :
( ( vEBT_VEBT_membermima @ X0 @ X1 )
| ( vEBT_V5719532721284313246member @ X0 @ X1 )
| ~ ( vEBT_V8194947554948674370ptions @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_0_both__member__options__def]) ).
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,
( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
=> ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ) ) ).
thf(zip_derived_cl12,plain,
( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
| ~ ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( 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(conj_0,conjecture,
vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ).
thf(zf_stmt_0,negated_conjecture,
~ ( vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl6145,plain,
~ ( vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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,
( ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
=> ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ) ) ).
thf(zip_derived_cl13,plain,
( ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
| ~ ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( 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_cl2,plain,
! [X0: vEBT_VEBT,X1: nat] :
( ( vEBT_V8194947554948674370ptions @ X0 @ X1 )
| ~ ( vEBT_VEBT_membermima @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_0_both__member__options__def]) ).
thf(zip_derived_cl19487,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl16,zip_derived_cl1,zip_derived_cl89,zip_derived_cl0,zip_derived_cl12,zip_derived_cl6145,zip_derived_cl13,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP221^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3BZJEqjDpJ true
% 0.17/0.35 % Computer : n004.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Feb 26 07:22:26 EST 2026
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.36 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 6.46/1.43 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 136.65/19.17 % Solved by lams/40_c.s.sh.
% 136.65/19.17 % done 1860 iterations in 18.371s
% 136.65/19.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 136.65/19.17 % SZS output start Refutation
% See solution above
% 136.65/19.17
% 136.65/19.17
% 136.65/19.17 % Terminating...
% 20.66/19.23 % Runner terminated.
% 20.66/19.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------