%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP272^3 : 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.CeCjEPVFOB true
% Computer : n012.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 09:48:29 AM UTC 2026
% Result : Theorem 93.79s 12.29s
% Output : Refutation 93.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 41 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 36 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 388 ( 6 ~; 3 |; 0 &; 377 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 9 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(list_VEBT_VEBT_type,type,
list_VEBT_VEBT: $tType ).
thf(option_nat_type,type,
option_nat: $tType ).
thf(num_type,type,
num: $tType ).
thf(nth_VEBT_VEBT_type,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(plus_plus_nat_type,type,
plus_plus_nat: nat > nat > nat ).
thf(treeList_type,type,
treeList: list_VEBT_VEBT ).
thf(suc_type,type,
suc: nat > nat ).
thf(times_times_nat_type,type,
times_times_nat: nat > nat > nat ).
thf(the_nat_type,type,
the_nat: option_nat > nat ).
thf(m_type,type,
m: nat ).
thf(divide_divide_nat_type,type,
divide_divide_nat: nat > nat > nat ).
thf(vEBT_vebt_mint_type,type,
vEBT_vebt_mint: vEBT_VEBT > option_nat ).
thf(vEBT_VEBT_high_type,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(na_type,type,
na: nat ).
thf(vEBT_invar_vebt_type,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(power_power_nat_type,type,
power_power_nat: nat > nat > nat ).
thf(one_type,type,
one: num ).
thf(bit0_type,type,
bit0: num > num ).
thf(deg_type,type,
deg: nat ).
thf(vEBT_VEBT_low_type,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(summary_type,type,
summary: vEBT_VEBT ).
thf(vEBT_vebt_delete_type,type,
vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(numeral_numeral_nat_type,type,
numeral_numeral_nat: num > nat ).
thf(fact_0_delete__pres__valid,axiom,
! [T: vEBT_VEBT,N: nat,X: nat] :
( ( vEBT_invar_vebt @ T @ N )
=> ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ T @ X ) @ N ) ) ).
thf(zip_derived_cl0,plain,
! [X0: vEBT_VEBT,X1: nat,X2: nat] :
( ~ ( vEBT_invar_vebt @ X0 @ X1 )
| ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_0_delete__pres__valid]) ).
thf(fact_537_add_Oleft__commute,axiom,
! [B: nat,A: nat,C: nat] :
( ( plus_plus_nat @ B @ ( plus_plus_nat @ A @ C ) )
= ( plus_plus_nat @ A @ ( plus_plus_nat @ B @ C ) ) ) ).
thf(zip_derived_cl147,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( plus_plus_nat @ X1 @ ( plus_plus_nat @ X0 @ X2 ) )
= ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_537_add_Oleft__commute]) ).
thf(fact_542_add_Ocommute,axiom,
! [A3: nat,B2: nat] :
( ( plus_plus_nat @ A3 @ B2 )
= ( plus_plus_nat @ B2 @ A3 ) ) ).
thf(zip_derived_cl148,plain,
! [X0: nat,X1: nat] :
( ( plus_plus_nat @ X1 @ X0 )
= ( plus_plus_nat @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_542_add_Ocommute]) ).
thf(fact_1426_mult__commute__abs,axiom,
! [C: nat,X2: nat] :
( ( times_times_nat @ X2 @ C )
= ( times_times_nat @ C @ X2 ) ) ).
thf(zip_derived_cl221,plain,
! [X0: nat,X1: nat] :
( ( times_times_nat @ X1 @ X0 )
= ( times_times_nat @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_1426_mult__commute__abs]) ).
thf(fact_6__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_A_Ithe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_J_A_Ideg_Adiv_A2_J_J_An_092_060close_062,axiom,
vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na ).
thf(zip_derived_cl4,plain,
vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na,
inference(cnf,[status(esa)],[fact_6__092_060open_062invar__vebt_A_ItreeList_A_B_Ahigh_A_Ithe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_J_A_Ideg_Adiv_A2_J_J_An_092_060close_062]) ).
thf(fact_183_mult__2,axiom,
! [Z: nat] :
( ( times_times_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Z )
= ( plus_plus_nat @ Z @ Z ) ) ).
thf(zip_derived_cl35,plain,
! [X0: nat] :
( ( times_times_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X0 )
= ( plus_plus_nat @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_183_mult__2]) ).
thf(fact_2142_div__self,axiom,
! [A: nat] :
( ( A != zero_zero_nat )
=> ( ( divide_divide_nat @ A @ A )
= one_one_nat ) ) ).
thf(zip_derived_cl320,plain,
! [X0: nat] :
( ( ( divide_divide_nat @ X0 @ X0 )
= one_one_nat )
| ( X0 = zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_2142_div__self]) ).
thf(fact_168_numeral__Bit0__div__2,axiom,
! [N: num] :
( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit0 @ N ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( numeral_numeral_nat @ N ) ) ).
thf(zip_derived_cl32,plain,
! [X0: num] :
( ( divide_divide_nat @ ( numeral_numeral_nat @ ( bit0 @ X0 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( numeral_numeral_nat @ X0 ) ),
inference(cnf,[status(esa)],[fact_168_numeral__Bit0__div__2]) ).
thf(zip_derived_cl2372,plain,
( ( one_one_nat
= ( numeral_numeral_nat @ one ) )
| ( ( numeral_numeral_nat @ ( bit0 @ one ) )
= zero_zero_nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl320,zip_derived_cl32]) ).
thf(fact_2484_zero__neq__numeral,axiom,
! [N: num] :
( zero_zero_nat
!= ( numeral_numeral_nat @ N ) ) ).
thf(zip_derived_cl389,plain,
! [X0: num] :
( zero_zero_nat
!= ( numeral_numeral_nat @ X0 ) ),
inference(cnf,[status(esa)],[fact_2484_zero__neq__numeral]) ).
thf(zip_derived_cl2377,plain,
( one_one_nat
= ( numeral_numeral_nat @ one ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2372,zip_derived_cl389]) ).
thf(fact_2923_power__0,axiom,
! [A: nat] :
( ( power_power_nat @ A @ zero_zero_nat )
= one_one_nat ) ).
thf(zip_derived_cl456,plain,
! [X0: nat] :
( ( power_power_nat @ X0 @ zero_zero_nat )
= one_one_nat ),
inference(cnf,[status(esa)],[fact_2923_power__0]) ).
thf(fact_2236_power__Suc__0,axiom,
! [N: nat] :
( ( power_power_nat @ ( suc @ zero_zero_nat ) @ N )
= ( suc @ zero_zero_nat ) ) ).
thf(zip_derived_cl344,plain,
! [X0: nat] :
( ( power_power_nat @ ( suc @ zero_zero_nat ) @ X0 )
= ( suc @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_2236_power__Suc__0]) ).
thf(zip_derived_cl953,plain,
( one_one_nat
= ( suc @ zero_zero_nat ) ),
inference('sup+',[status(thm)],[zip_derived_cl456,zip_derived_cl344]) ).
thf(fact_3693_verit__sum__simplify,axiom,
! [A: nat] :
( ( plus_plus_nat @ A @ zero_zero_nat )
= A ) ).
thf(zip_derived_cl585,plain,
! [X0: nat] :
( ( plus_plus_nat @ X0 @ zero_zero_nat )
= X0 ),
inference(cnf,[status(esa)],[fact_3693_verit__sum__simplify]) ).
thf(fact_220_add__Suc__right,axiom,
! [M: nat,N: nat] :
( ( plus_plus_nat @ M @ ( suc @ N ) )
= ( suc @ ( plus_plus_nat @ M @ N ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: nat,X1: nat] :
( ( plus_plus_nat @ X0 @ ( suc @ X1 ) )
= ( suc @ ( plus_plus_nat @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_220_add__Suc__right]) ).
thf(conj_0,conjecture,
vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na ).
thf(zf_stmt_0,negated_conjecture,
~ ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl624,plain,
~ ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ na ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_93__C5_Ohyps_C_I3_J,axiom,
( m
= ( suc @ na ) ) ).
thf(zip_derived_cl19,plain,
( m
= ( suc @ na ) ),
inference(cnf,[status(esa)],[fact_93__C5_Ohyps_C_I3_J]) ).
thf(fact_5__C5_Ohyps_C_I4_J,axiom,
( deg
= ( plus_plus_nat @ na @ m ) ) ).
thf(zip_derived_cl3,plain,
( deg
= ( plus_plus_nat @ na @ m ) ),
inference(cnf,[status(esa)],[fact_5__C5_Ohyps_C_I4_J]) ).
thf(fact_1444_numeral__code_I2_J,axiom,
! [N: num] :
( ( numeral_numeral_nat @ ( bit0 @ N ) )
= ( plus_plus_nat @ ( numeral_numeral_nat @ N ) @ ( numeral_numeral_nat @ N ) ) ) ).
thf(zip_derived_cl222,plain,
! [X0: num] :
( ( numeral_numeral_nat @ ( bit0 @ X0 ) )
= ( plus_plus_nat @ ( numeral_numeral_nat @ X0 ) @ ( numeral_numeral_nat @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_1444_numeral__code_I2_J]) ).
thf(fact_4_high__def,axiom,
! [X2: nat,N2: nat] :
( ( vEBT_VEBT_high @ X2 @ N2 )
= ( divide_divide_nat @ X2 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ N2 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: nat,X1: nat] :
( ( vEBT_VEBT_high @ X0 @ X1 )
= ( divide_divide_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_4_high__def]) ).
thf(zip_derived_cl23388,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl147,zip_derived_cl148,zip_derived_cl221,zip_derived_cl4,zip_derived_cl35,zip_derived_cl2377,zip_derived_cl953,zip_derived_cl585,zip_derived_cl44,zip_derived_cl624,zip_derived_cl19,zip_derived_cl3,zip_derived_cl222,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : ITP272^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.07 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CeCjEPVFOB true
% 0.07/0.26 % Computer : n012.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri Feb 27 11:33:30 EST 2026
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Running portfolio for 300 s
% 0.07/0.26 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Number of cores: 8
% 0.07/0.26 % Python version: Python 3.6.8
% 0.07/0.26 % Running in HO mode
% 0.41/0.45 % Total configuration time : 828
% 0.41/0.45 % Estimated wc time : 1656
% 0.41/0.45 % Estimated cpu time (8 cpus) : 207.0
% 0.41/0.48 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.41/0.48 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.41/0.48 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.41/0.48 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.41/0.48 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.41/0.48 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.41/0.48 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.41/0.50 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 3.93/0.98 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 93.79/12.29 % Solved by lams/40_c_ic.sh.
% 93.79/12.29 % done 1081 iterations in 11.780s
% 93.79/12.29 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 93.79/12.29 % SZS output start Refutation
% See solution above
% 93.79/12.29
% 93.79/12.29
% 93.79/12.29 % Terminating...
% 94.59/12.38 % Runner terminated.
% 94.59/12.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------