%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP245^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KxjYNOM0LX 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 09:48:19 AM UTC 2026
% Result : Theorem 66.49s 8.82s
% Output : Refutation 66.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 12 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 208 ( 7 ~; 13 |; 7 &; 180 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 11 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 9 con; 0-4 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% 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(product_prod_nat_nat_type,type,
product_prod_nat_nat: $tType ).
thf(some_P7363390416028606310at_nat_type,type,
some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).
thf(one_type,type,
one: num ).
thf(summary_type,type,
summary: vEBT_VEBT ).
thf(divide_divide_nat_type,type,
divide_divide_nat: nat > nat > nat ).
thf(vEBT_vebt_member_type,type,
vEBT_vebt_member: vEBT_VEBT > nat > $o ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(vEBT_VEBT_high_type,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(ia_type,type,
ia: nat ).
thf(vEBT_VEBT_low_type,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(mi_type,type,
mi: nat ).
thf(vEBT_Node_type,type,
vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(bit0_type,type,
bit0: num > num ).
thf(nth_VEBT_VEBT_type,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(deg_type,type,
deg: nat ).
thf(product_Pair_nat_nat_type,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(ma_type,type,
ma: nat ).
thf(treeList_type,type,
treeList: list_VEBT_VEBT ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(size_s6755466524823107622T_VEBT_type,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
thf(numeral_numeral_nat_type,type,
numeral_numeral_nat: num > nat ).
thf(xa_type,type,
xa: nat ).
thf(conj_0,conjecture,
( ( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ia @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ia @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
& ( ord_less_nat @ ( vEBT_VEBT_high @ ia @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) ) )
| ( ia = ma )
| ( ia = mi ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ia @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ia @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
& ( ord_less_nat @ ( vEBT_VEBT_high @ ia @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) ) )
| ( ia = ma )
| ( ia = mi ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl482,plain,
ia != ma,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl481,plain,
ia != mi,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_2__092_060open_062x_A_060_Ai_A_092_060and_062_Avebt__member_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Ai_092_060close_062,axiom,
( ( vEBT_vebt_member @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ ia )
& ( ord_less_nat @ xa @ ia ) ) ).
thf(zip_derived_cl1,plain,
vEBT_vebt_member @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ mi @ ma ) ) @ deg @ treeList @ summary ) @ ia,
inference(cnf,[status(esa)],[fact_2__092_060open_062x_A_060_Ai_A_092_060and_062_Avebt__member_A_INode_A_ISome_A_Imi_M_Ama_J_J_Adeg_AtreeList_Asummary_J_Ai_092_060close_062]) ).
thf(zip_derived_cl483,plain,
( ~ ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ia @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ ia @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
| ~ ( ord_less_nat @ ( vEBT_VEBT_high @ ia @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ treeList ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_50_member__inv,axiom,
! [Mi: nat,Ma: nat,Deg: nat,TreeList: list_VEBT_VEBT,Summary: vEBT_VEBT,X: nat] :
( ( vEBT_vebt_member @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ Mi @ Ma ) ) @ Deg @ TreeList @ Summary ) @ X )
=> ( ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Deg )
& ( ( X = Mi )
| ( X = Ma )
| ( ( ord_less_nat @ X @ Ma )
& ( ord_less_nat @ Mi @ X )
& ( ord_less_nat @ ( vEBT_VEBT_high @ X @ ( divide_divide_nat @ Deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ TreeList ) )
& ( vEBT_vebt_member @ ( 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_cl31,plain,
! [X0: list_VEBT_VEBT,X1: nat,X2: nat,X3: nat,X4: nat,X5: vEBT_VEBT] :
( ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ X0 @ ( vEBT_VEBT_high @ X1 @ ( divide_divide_nat @ X2 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ X1 @ ( divide_divide_nat @ X2 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
| ( X1 = X3 )
| ( X1 = X4 )
| ~ ( vEBT_vebt_member @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ X4 @ X3 ) ) @ X2 @ X0 @ X5 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_50_member__inv]) ).
thf(zip_derived_cl30,plain,
! [X0: nat,X1: nat,X2: list_VEBT_VEBT,X3: nat,X4: nat,X5: vEBT_VEBT] :
( ( ord_less_nat @ ( vEBT_VEBT_high @ X0 @ ( divide_divide_nat @ X1 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( size_s6755466524823107622T_VEBT @ X2 ) )
| ( X0 = X3 )
| ( X0 = X4 )
| ~ ( vEBT_vebt_member @ ( vEBT_Node @ ( some_P7363390416028606310at_nat @ ( product_Pair_nat_nat @ X4 @ X3 ) ) @ X1 @ X2 @ X5 ) @ X0 ) ),
inference(cnf,[status(esa)],[fact_50_member__inv]) ).
thf(zip_derived_cl16209,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl482,zip_derived_cl481,zip_derived_cl1,zip_derived_cl483,zip_derived_cl31,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : ITP245^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.06 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KxjYNOM0LX true
% 0.06/0.25 % Computer : n012.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Thu Feb 26 21:12:15 EST 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 % Running portfolio for 300 s
% 0.06/0.25 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.25 % Number of cores: 8
% 0.06/0.25 % Python version: Python 3.6.8
% 0.06/0.25 % Running in HO mode
% 0.44/0.43 % Total configuration time : 828
% 0.44/0.43 % Estimated wc time : 1656
% 0.44/0.43 % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.46 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.44/0.46 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.44/0.46 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.44/0.47 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.44/0.47 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.44/0.47 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.44/0.47 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.44/0.48 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 4.04/0.92 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 66.49/8.82 % Solved by lams/40_c_ic.sh.
% 66.49/8.82 % done 905 iterations in 8.322s
% 66.49/8.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 66.49/8.82 % SZS output start Refutation
% See solution above
% 66.49/8.82
% 66.49/8.82
% 66.49/8.82 % Terminating...
% 66.49/8.85 % Runner terminated.
% 66.49/8.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------