%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP279^3 : 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.HaFiAVT18O true
% Computer : n026.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 09:48:32 AM UTC 2026
% Result : Theorem 270.70s 37.87s
% Output : Refutation 270.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 14 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 210 ( 2 ~; 0 |; 0 &; 208 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 13 con; 0-4 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(num_type,type,
num: $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(product_prod_nat_nat_type,type,
product_prod_nat_nat: $tType ).
thf(list_real_type,type,
list_real: $tType ).
thf(m_type,type,
m: nat ).
thf(c_type,type,
c: real ).
thf(map_VEBT_VEBT_real_type,type,
map_VEBT_VEBT_real: ( vEBT_VEBT > real ) > list_VEBT_VEBT > list_real ).
thf(zero_zero_real_type,type,
zero_zero_real: real ).
thf(numeral_numeral_nat_type,type,
numeral_numeral_nat: num > nat ).
thf(ma_type,type,
ma: nat ).
thf(product_Pair_nat_nat_type,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(some_P7363390416028606310at_nat_type,type,
some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).
thf(mi_type,type,
mi: nat ).
thf(divide_divide_real_type,type,
divide_divide_real: real > real > real ).
thf(times_times_real_type,type,
times_times_real: real > real > real ).
thf(plus_plus_real_type,type,
plus_plus_real: real > real > real ).
thf(numeral_numeral_real_type,type,
numeral_numeral_real: num > real ).
thf(foldr_real_real_type,type,
foldr_real_real: ( real > real > real ) > list_real > real > real ).
thf(none_P5556105721700978146at_nat_type,type,
none_P5556105721700978146at_nat: option4927543243414619207at_nat ).
thf(vEBT_VEBT_cnt_type,type,
vEBT_VEBT_cnt: vEBT_VEBT > real ).
thf(power_power_real_type,type,
power_power_real: real > nat > real ).
thf(treeList_type,type,
treeList: list_VEBT_VEBT ).
thf(summary_type,type,
summary: vEBT_VEBT ).
thf(one_one_real_type,type,
one_one_real: real ).
thf(vEBT_Node_type,type,
vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(plus_plus_nat_type,type,
plus_plus_nat: nat > nat > nat ).
thf(times_times_nat_type,type,
times_times_nat: nat > nat > nat ).
thf(deg_type,type,
deg: nat ).
thf(minus_minus_real_type,type,
minus_minus_real: real > real > real ).
thf(na_type,type,
na: nat ).
thf(one_type,type,
one: num ).
thf(bit1_type,type,
bit1: num > num ).
thf(bit0_type,type,
bit0: num > num ).
thf(ord_less_eq_real_type,type,
ord_less_eq_real: real > real > $o ).
thf(fact_1_c__def,axiom,
( c
= ( divide_divide_real @ ( numeral_numeral_real @ ( bit1 @ ( bit1 @ ( bit1 @ one ) ) ) ) @ ( numeral_numeral_real @ ( bit0 @ ( bit1 @ ( bit0 @ one ) ) ) ) ) ) ).
thf(zip_derived_cl1,plain,
( c
= ( divide_divide_real @ ( numeral_numeral_real @ ( bit1 @ ( bit1 @ ( bit1 @ one ) ) ) ) @ ( numeral_numeral_real @ ( bit0 @ ( bit1 @ ( bit0 @ one ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_1_c__def]) ).
thf(fact_4__092_060open_062cnt_A_INode_ANone_Adeg_AtreeList_Asummary_J_A_092_060le_062_A2_A_K_A_I2_A_094_A_In_A_L_An_J_A_N_A15_A_P_A10_J_092_060close_062,axiom,
ord_less_eq_real @ ( vEBT_VEBT_cnt @ ( vEBT_Node @ none_P5556105721700978146at_nat @ deg @ treeList @ summary ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( minus_minus_real @ ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( plus_plus_nat @ na @ na ) ) @ ( divide_divide_real @ ( numeral_numeral_real @ ( bit1 @ ( bit1 @ ( bit1 @ one ) ) ) ) @ ( numeral_numeral_real @ ( bit0 @ ( bit1 @ ( bit0 @ one ) ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
ord_less_eq_real @ ( vEBT_VEBT_cnt @ ( vEBT_Node @ none_P5556105721700978146at_nat @ deg @ treeList @ summary ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( minus_minus_real @ ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( plus_plus_nat @ na @ na ) ) @ ( divide_divide_real @ ( numeral_numeral_real @ ( bit1 @ ( bit1 @ ( bit1 @ one ) ) ) ) @ ( numeral_numeral_real @ ( bit0 @ ( bit1 @ ( bit0 @ one ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_4__092_060open_062cnt_A_INode_ANone_Adeg_AtreeList_Asummary_J_A_092_060le_062_A2_A_K_A_I2_A_094_A_In_A_L_An_J_A_N_A15_A_P_A10_J_092_060close_062]) ).
thf(conj_0,conjecture,
ord_less_eq_real @ ( vEBT_VEBT_cnt @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( minus_minus_real @ ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ deg ) @ c ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ord_less_eq_real @ ( vEBT_VEBT_cnt @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( minus_minus_real @ ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ deg ) @ c ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl9851,plain,
~ ( ord_less_eq_real @ ( vEBT_VEBT_cnt @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( minus_minus_real @ ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ deg ) @ c ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_8967_mult__commute__abs,axiom,
! [C: nat,X3: nat] :
( ( times_times_nat @ X3 @ C )
= ( times_times_nat @ C @ X3 ) ) ).
thf(zip_derived_cl9601,plain,
! [X0: nat,X1: nat] :
( ( times_times_nat @ X1 @ X0 )
= ( times_times_nat @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_8967_mult__commute__abs]) ).
thf(fact_292_mult__2__right,axiom,
! [Z: nat] :
( ( times_times_nat @ Z @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( plus_plus_nat @ Z @ Z ) ) ).
thf(zip_derived_cl259,plain,
! [X0: nat] :
( ( times_times_nat @ X0 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( plus_plus_nat @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[fact_292_mult__2__right]) ).
thf(fact_0__C4_Ohyps_C_I3_J,axiom,
m = na ).
thf(zip_derived_cl0,plain,
m = na,
inference(cnf,[status(esa)],[fact_0__C4_Ohyps_C_I3_J]) ).
thf(fact_5__C4_Ohyps_C_I4_J,axiom,
( deg
= ( plus_plus_nat @ na @ m ) ) ).
thf(zip_derived_cl5,plain,
( deg
= ( plus_plus_nat @ na @ m ) ),
inference(cnf,[status(esa)],[fact_5__C4_Ohyps_C_I4_J]) ).
thf(fact_1093_add_Oassoc,axiom,
! [A: real,B: real,C: real] :
( ( plus_plus_real @ ( plus_plus_real @ A @ B ) @ C )
= ( plus_plus_real @ A @ ( plus_plus_real @ B @ C ) ) ) ).
thf(zip_derived_cl1172,plain,
! [X0: real,X1: real,X2: real] :
( ( plus_plus_real @ ( plus_plus_real @ X0 @ X1 ) @ X2 )
= ( plus_plus_real @ X0 @ ( plus_plus_real @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_1093_add_Oassoc]) ).
thf(fact_9208_VEBT__internal_Ocnt_Osimps_I2_J,axiom,
! [Info: option4927543243414619207at_nat,Deg: nat,TreeList: list_VEBT_VEBT,Summary: vEBT_VEBT] :
( ( vEBT_VEBT_cnt @ ( vEBT_Node @ Info @ Deg @ TreeList @ Summary ) )
= ( plus_plus_real @ ( plus_plus_real @ one_one_real @ ( vEBT_VEBT_cnt @ Summary ) ) @ ( foldr_real_real @ plus_plus_real @ ( map_VEBT_VEBT_real @ vEBT_VEBT_cnt @ TreeList ) @ zero_zero_real ) ) ) ).
thf(zip_derived_cl9786,plain,
! [X0: vEBT_VEBT,X1: list_VEBT_VEBT,X2: option4927543243414619207at_nat,X3: nat] :
( ( vEBT_VEBT_cnt @ ( vEBT_Node @ X2 @ X3 @ X1 @ X0 ) )
= ( plus_plus_real @ ( plus_plus_real @ one_one_real @ ( vEBT_VEBT_cnt @ X0 ) ) @ ( foldr_real_real @ plus_plus_real @ ( map_VEBT_VEBT_real @ vEBT_VEBT_cnt @ X1 ) @ zero_zero_real ) ) ),
inference(cnf,[status(esa)],[fact_9208_VEBT__internal_Ocnt_Osimps_I2_J]) ).
thf(zip_derived_cl37352,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl1,zip_derived_cl4,zip_derived_cl9851,zip_derived_cl9601,zip_derived_cl259,zip_derived_cl0,zip_derived_cl5,zip_derived_cl1172,zip_derived_cl9786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ITP279^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HaFiAVT18O true
% 0.11/0.30 % Computer : n026.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Fri Feb 27 14:27:25 EST 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % Running portfolio for 300 s
% 0.11/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.30 % Number of cores: 8
% 0.11/0.30 % Python version: Python 3.6.8
% 0.11/0.30 % Running in HO mode
% 0.49/0.57 % Total configuration time : 828
% 0.49/0.57 % Estimated wc time : 1656
% 0.49/0.57 % Estimated cpu time (8 cpus) : 207.0
% 0.77/0.64 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.77/0.65 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.77/0.65 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.77/0.65 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.77/0.65 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.77/0.66 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.77/0.66 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.77/0.67 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 5.51/1.26 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 252.59/33.84 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 270.70/37.87 % Solved by lams/40_c.s.sh.
% 270.70/37.87 % done 3459 iterations in 37.187s
% 270.70/37.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 270.70/37.87 % SZS output start Refutation
% See solution above
% 270.70/37.87
% 270.70/37.87
% 270.70/37.87 % Terminating...
% 271.54/37.95 % Runner terminated.
% 271.54/37.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------